Mathematics High School

## Answers

**Answer 1**

**Answer: $22**

**Step-by-step explanation:**

47- 25= 22

## Related Questions

please help very important please

### Answers

**Answer: 7/2**

**Step-by-step explanation:**

A car travels 55 miles per hour

1. The unit rate speed for this car is ___ miles per hour

2. if the car has driven 1/2 (0.5) hours, it traveled ___ miles

3. if the car has driven 1 1/2 (1.5) hours, it has traveled ___ miles

4 If the car has traveled 110 miles, it will take ___ hours

!! No explanation needed please! :) correct answer gets brainlesst !!

### Answers

For the **car** travelling with 55 miles per hour-

**unit rate** = 55 miles per hour.distance travelled = 275 miles.distance travelled = 825 miles.**Time** taken = 2 hoursWhat is distance speed relation?

The distance is a **actual length** of a path taken by the object.

The speed is the rate at which the distance changes over time. If 'D' is the distance traveled by an object in time 'T,' the speed is equal to s = D/T. It is measured in the same units as velocity.

For, the values given in the question;

1. The **unit rate** speed for this car is ___ miles per hour

S = D/T

S = 55 miles per hour.

Rate of speed is the same as the speed.

Thus,

The unit rate speed for this car is 55 miles per hour

2. if the car has driven 1/2 (0.5) hours, it traveled ___ miles

S = D/T

D = S×T

S = 55 miles per hour.

T = 0.5

Put the values;

D = 55×0.5

**D = 275 miles.**

Thus, the car travelled 275 miles.

3. if the car has driven 1 1/2 (1.5) hours, it has traveled ___ miles

S = D/T

D = S×T

S = 55 miles per hour.

Put the values;

D = 55×1.5

D = 825 miles.

Thus, the car travelled 825 miles.

4 If the car has travelled 110 miles, it will take ___ hours

S = D/T

S = 55 miles per hour.

D = 110 miles

T = D/S

Put the values;

T = 110/55

T = 2 hours.

Thus, the** time **taken by** car** is 2 hours.

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what is the common denominator of 3/5, 4/9, 6/7?

### Answers

**Answer: hi! for the denominators (5, 9, 7) the least common multiple **

**Step-by-step explanation:**

**(LCM) is 315.**

**LCM(5, 9, 7)**

**Therefore, the least common denominator (LCD) is 315.**

**Calculations to rewrite the original inputs as equivalent fractions with the LCD:**

**3/5=3/5×63/63=189/315**

**4/9=4/9×35/35=140/315**

**6/7=6/7×45/45=270/315**

(1 + 2 × 3)² + 7

please helppppooppppppppp

### Answers

**Answer:**

56

**Step-by-step explanation:**

(1+2*3)^2+7

(1+6)^2+7

7^2+7

49+7

56

**Answer:**

**Step-by-step explanation:**

Using PEMDAS, first find the product of the parentheses. 2*3=6. 1+6=7. 7² is 49. 49+7=56.

Determine whether the data show a linear relationship. If so, write an equation of a line of fit.

The data do not show a linear relationship.

The data do not show a linear relationship.

The data show a linear relationship; The equation is y=4.25x+1.75.

The data show a linear relationship; The equation is y is equal to 4 point 2 5 x plus 1 point 7 5.

The data show a linear relationship; The equation is y=1.75x+4.25.

The data show a linear relationship; The equation is y is equal to 1 point 7 5 x plus 4 point 2 5.

The data show a linear relationship; The equation is y=6x.

The data show a linear relationship; The equation is y is equal to 6 x.

Question 2

If there is a linear relationship, use the selected equation to estimate y when x=15 and interpret its meaning in the context of the situation.

y=

, which means that after

minutes, you have burned

calories.

### Answers

The **slope **of the given function is **not constant **therefore it will not be a **linear function **so option (A) will be **correct**.

What is a linear function?

A straight line on the **coordinate plane **is represented by a linear function.

The formula for a **linear function **is f(x) = ax + b, where a and b are real values.

Given the **data table,**

If we take its point as **coordinate **then (1,6),(6,27),(11,50)(13,56) and (16,70).

**Slope** associated with two points (1,6), (6,27)

(27 - 6)/(6 - 1) = 4.2

Now **Slope **is associated with two points(6,27),(11,50)

(50 - 27)/(11 - 6) = 4.6

Since the **slope **is not the same therefore given **function **is not the **linear **function because the linear function has a **constant slope**.

Hence "The **slope **of the given function is **not constant **therefore it will not be a **linear function".**

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how do I turn this into an equation to solve for x

### Answers

To solve the for x the **equation **will be 3x° = 80° - x° and the value of x is 20°.

When two or more lines meet at a common point it is known as **intersecting lines**.

According to the question we have been given that there are two lines who are intersection at a point. And we have been given measure of two **angles.**

Let the first angle be given as ∠A and the second angle be given as ∠B.

The measure of angles given to us are :

∠A = 3x° and ∠B = (80 - x)°

We know that when two lines intersect then the vertically opposite angles are **equal**, that is

∠A = ∠B

Putting the required values we get

3x° = 80° - x°

4x° = 80°

x = 20°

Hence the **value **of x = 20°. Thus the **measure **of ∠A = 60° and ∠B = 60°

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How does the simulation time (time for the circuit to compute the decimal value) change as the binary values get larger?

### Answers

As you increase the input number size(increase the o. of bits) the **simulator** is going to perform more calculation to get the value of newly added** bits** by calculating 2^n (for nth bit!) and hence the running time complexity will increase exponentially .

What is an circuit?

**Electronic components** such as **resistors**, **transistors**, capacitors, **inductors**, and** diodes** are connected by **conductive wires **or traces that allow electric current to flow between them. It is a specific kind of electrical circuit, and in order for a circuit to be called electronic rather than electrical, there usually needs to be at least one active component present. Signals may be **amplified**, calculations can be made, and data can be transported from one location to another thanks to the combination of components and **wires**.

Although discrete components can be assembled into circuits and connected by single wires, it is now far more typical to use **photolithographic **processes to make interconnections on laminated **substrates** and solder the individual components to these linkages.

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in a recent study on the effects of sleep and test results, volunteers took a math test. the volunteers who had 8 hours of sleep were three times more likely to answer questions correctly on the math test than were sleep-deprived volunteers. complete parts a through d.

### Answers

The **test results** of the study's subjects serve as the **sample.**

The **portion** of the population from which **data** was actually gathered is known as a sample.

**Sample** = **Hours of sleep** and maths test score of the volunteers that were included in the study.

**How is a sample related to a population?**

A **population** is the **total group** about which you want to draw conclusions. A sample is the specific group from which you will **collect data**. Always, the sample size is less than the whole population.

A population in research doesn't usually refer to **humans**. It can refer to a **collection** of whatever you desire** **to study, including **things**, occasions, groups, nations, **species**, and animals.

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.

State whether the following is a solution of x ≥ -4.1? Write only YES or NO.

1. -5

2. -4.1

3. 8

4. 0

### Answers

**Answer:**

1. NO

2. YES

3. YES

4. YES

**Step-by-step explanation:**

Plot these on a number line to see visually.

**Answer:**

1. No

2. Yes

3. Yes

4. Yes

**Step-by-step explanation:**

**Given inequality** :

x ≥ -4.1

1.

[tex]\ -5\Large \ \ \text{\bf{(NO)}}[/tex]

**Reason**: 5 > 4.1 ⇒ -5 < -4.1

2.

[tex]\ -4.1\Large \ \ \text{\bf{(Yes)}}[/tex]

**Reason** : -4.1 = -4.1 ⇒ -4.1 ≥ -4.1

3.

[tex]\ 8\Large \ \ \text{\bf{(Yes)}}[/tex]

**Reason** : 8 is positive and -4.1 is negative ⇒ 8 ≥ -4.1

4.

[tex]\ 0\Large \ \ \text{\bf{(Yes)}}[/tex]

**Reason** : -4.1 is negative and 0 is greater than any negative number ⇒ 0 ≥ -4.1

Solve the rational equation:

7/(s + 8) = −2/(9s + 1)

Answer: s=?

### Answers

**Answer:**

s = **(-23/65)**

**Step-by-step explanation:**

7 -2

------ = -------

(s + 8) (9s + 1)

7 (9s + 1) -2 (s + 8)

------ = -------

(s + 8) (9s + 1) (9s + 1) (s + 8)

7 (9s + 1) -2 (s + 8)

(------------------ = ---------------------) ((9s + 1) (s + 8))

(s + 8) (9s + 1) (9s + 1) (s + 8)

7 (9s + 1) = -2 (s + 8)

63s + 7 = -2s - 16

+2s +2s

65s + 7 = -16

-7 -7

65s = -23

÷65s ÷65s

s = **(-23/65)**

what is 34-/5=

please help me with this question and i don't know the answer to this

### Answers

**Answer:**

34-5=29

**Step-by-step explanation:**

**Answer:**

29

**Step-by-step explanation:**

hope it helps and have a nice day! :)

write a two-column proof to verity each conjecture. If -3r+1/2= 4 the r=-7/6

### Answers

If -3r + 1/2 = 4, then it is true that r=-7/6

How to write a **two-column proof **to verity each conjecture?

The **equation **is given as:

-3r + 1/2 = 4

And the **solution **is given as

r=-7/6

The **two-column proof **is as follows:

-3r + 1/2 = 4 ---- Given-3r = 4 - 1/2 ----- Subtract property of equation-3r = 3 1/2 ----- Subtract property of equation-3r = 7/2 ----- Convert to improper fractionr = -7/6 ----- Division property of equation

Hence, if -3r + 1/2 = 4, then it is true that r=-7/6

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Solve the equation using square roots. x² + 20 = 4

no real number solutions

√24

+√24

-4

### Answers

There are no real solutions for the **equation** x² + 20 = 4.

**Equation**, which is defined as the quality of being equal, is frequently represented by a mathematical expression with equal values on either side or by a situation in which numerous factors must be taken into account.

Consider the **equation**,

x² + 20 = 4

Subtracting 20 from each side of the **equation**.

x² + 20 - 20 = 4 - 20

x² = - 16

√x² = √ - 16

x = ± √-16

x = ± 4√(-1)

x = ± 4i

Since i is the complex number that is equal to √-1. Therefore, there are no real solutions to the **equation**.

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**Answer:no real number solutions**

40) SHOPPING Stevenson's Market is selling 3 packs of stylus pens for $5.00. How

much will 10 packs of stylus pens cost at this price?

### Answers

The cost of ten pack of stylus pen is **$(50/3).**

This problem can be solved by **unitary method **and can be understood by the following process.

In this method we have to determine the cost of a unit of product and then the total amount by multiplying the **unit cost** by the desired quantity what we want.

Here, it is given that three packs of stylus pen costs $5.

**Cost** of one pack of stylus pen = $ 5/3

Therefore cost of 10 packs of stylus pen = $(5/3)*10

= $(50/3)

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I need help asap!!!!

### Answers

**Answer: The first one is correct.**

**Step-by-step explanation:**

x = 3

y = -2

So: 2 x 3 + 2 x (-2) = 6 + (-12) = -6

jon and alex play a game where they each need to kick a ball into a net. they will each kick 11 balls, but alex has a slight edge, with a 60% chance of scoring to jon's 40%. what is the probability that jon will score exactly 8 times?

### Answers

The **probability** of scoring a goal exactly 8 times by Jon is given by 0.0234. It is obtained using the prerequisite knowledge of **binomial distribution** and **probability**.

What is **Binomial Distribution** in **Probability**?

When each trial has a **probability** of occurring equally likely, then the number of trials or observations is outlined using the **binomial distribution**. The chance of observing a specific number of successful outcomes in a specific number of trials is determined by using the **binomial distribution**.

**Calculation of the probability of the given event**

Total no. of possible outcomes, n = 11

The **probability** that Jon will kick the ball in the net, p(x) = 0.4

The **probability** that Alex will kick the ball in the net, q(x) = 0.6

Using **Binomial Distribution**, we get,

P(x = r) = C(n,r) × (p)r × q(n - r)

where x is the score made by Joe

P(x = 8) = C(11,8) × (0.4)8 × (0.6)3

= 0.0234

Hence, the **probability** that Jon will score exactly 8 times is 0.0234.

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In the figure below, m1=8x° and m2 = (x-9)°.

Find the angle measures.

1

1 2

### Answers

**Answer:**

<1 = 168

<2 = 12

**Step-by-step explanation:**

First, you need to solve for x

8x + x -9 = 180

9x -9 = 180

9x = 189

x = 21

Now, substitute in 21 for x for both angles

8(21) = 168

(21) - 9 = 12

Jackets cost the retailer $75 a piece to purchase wholesale. If he has five to sell and

doesn't sell them until 30 days have gone by, how much money does he lose? Remember

a loss is shown with a negative rational number.

with Rational Numbers

### Answers

**Answer:**

Retailer will **loss** **$375. **If he didn't sell that Jackets until 30days.

**Step-by-step explanation:**

**Given that**

Jackets **cost** the retailer** $75** a piece to purchase wholesaleHe has 5 Jackets for sell.

**To find**

If he didn't sell that **all peace** until **30 days** then the **lost of him.**

So, according the question,

We have

The price of one peace Jacket = $75.The quantity of Jacket = 5

So, the **money **he **loss** to **don't sell** that **Jackets** in **30 days** is the **total cost of all jackets.**

∴ The Total cost of all Jackets = 75 × 5

**= $375.**

**Answer: ** Retailer will **loss** **$375.**

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Can someone PLEASE give me the solution to this question, my exams in 2 days.

### Answers

**Answer:**

see explanation

**Step-by-step explanation:**

the shaded area is calculated as

outer circle area - inner circle area

since CAB is a tangent to the inner circle at A then OAB = 90° and

Δ OAB is right

using Pythagoras' identity in the right triangle to express R in terms of r and d , then

R² = d² + r²

------------------------------------------

A( outer Δ ) = πR² = π(d² + r² ) = πd² + πr²

A ( inner Δ ) = πr²

Then

shaded area = πd² + πr² - πr² = πd²

Rewrite: [tex]15\frac{1}{6}[/tex]% as a decimal. Round to the nearest thousandths.

### Answers

Rewriting 15 1/6 as a **decimal**, rounded to the nearest **thousandths**, is: 1,516.667.

How to Rewrite a Number as a Decimal?

To rewrite the **percentage**, 15 1/6% as a **decimal** do the following as shown below:

Convert 15 1/6 from **mixed number** to an **improper** **fraction:**

91/6

Multiply 91/6 by 100**:**

91/6 × 100

= 9,100/6

Divide

9,100/6 = 1,516.667

Thus, rewriting 15 1/6 as a **decimal**, rounded to the nearest **thousandths**, is: 1,516.667.

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assuming 69.6 heartbeats/minutes, estimate the total number of times the heart of a human beats in an average lifetime of 89.3 y. assume 365.25 days per year. answer in units of heartbeats. your answer must be within ± 5.0%

### Answers

The total number of times a **human heart** beats in an average lifetime of 89.3 years is estimated to be 3,268,988,688.8 heartbeats.

To calculate **time**:

We are to estimate the total number of times a human heart beats in an average lifetime based on the question.Based on the information provided,We will assume 69.6 heartbeats per minute.

To calculate the total number of times the heart of **human beats** in an **average lifetime** of 89.3 years,

In 89.3 years, we will calculate the number of **minutes**.

89.3 years = 89.3 × 365.25 × 24 × 60 minutes89.3 years = 46968228 minutes

Because there are 69.6 heartbeats per minute

Then,

There are 46968228 **heartbeats **in 46968228 minutes.

46968228 × 69.6 = 3,268,988,688.8 heartbeats

Therefore, the total number of times a** human heart **beats in an average lifetime of 89.3 years is estimated to be 3,268,988,688.8 heartbeats.

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this visual representation shows the sets of real numbers. classify the number −25. select all terms that are correct. natural whole integer rational irrational −25 natural – negative 25 whole – negative 25 integer – negative 25 rational – negative 25 irrational – negative 25

### Answers

-25 is an integer and a rational **number.**

What is number system?A system of writing numbers is known as a **number system.** It is the mathematical notation for consistently employing digits or other symbols to represent the **numbers **in a particular set. It represents the arithmetic and algebraic structure of the** numbers **and gives each **number** a distinct representation.

Now,

Natural **numbers** are positive integers with a range of 1 to infinity; nevertheless, they do not include zero. -25 wouldn't be a natural **number **because it is a negative** number**.A group of **numbers** known as a whole **number** consists of all positive integers and 0. This wouldn't be a whole number because -25 isn't a positive **number**.Any real **number **that cannot be represented as the quotient of two integers is said to be irrational. Square roots of irrational** numbers **are also frequently seen. -25, however, is not a square root.Any **number** that can be expressed as a ratio, or a fraction, of two integers, is referred to be a rational **number**. Fractions, decimals, negative decimals, and other rational **numbers** are very prevalent. Since -25 can be represented as a ratio of two **numbers**. it is a rational **number.**A whole **number** that can be either positive, negative, or zero is known as an integer. As -25 is negative and a whole **number**( when positive), it is an integer.

Hence, -25 is an integer and a rational **number.**

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A rectangle that is 2 cm by 3 cm has been scaled by a factor of 5. What are the dimensions of the new rectangle? A.7 cm by 8 cm B.10 cm by 15 cm C.25 cm by 35 cm D.12 cm by 15 cm

### Answers

Dimensions of new rectangle after getting **scaled **by factor of 5 are** 10cm by 15cm.** Option** (B) ** is correct.

**What is scale factor?**

In two** similar geometric figures** the **ratio **of their corresponding side is scale factor let the old dimension be x and scale factor be a then new dimension will be a*x

If a>1 then their will be enlargement in the geometric figures

Given that rectangle that is 2 cm by 3 cm has been **scaled by a factor** of 5

It means **scale factor** be 5

New **dimensions **of given rectangle will be found by multiplying by 5

New length and breadth are 2*5=10

3*5=15

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The pair of triangles that are congruent by the ASA criterion is . The pair of triangles that are congruent by the SAS criterion is .

### Answers

The **relationship **between the **triangles **are;

**Δ ABC** and **Δ XYZ** is related by **ASA**

**Δ BAC** and **ΔRQP** are related by **SAS **

What is congruency of triangles?

The term **congruency **has to do with the fact that the **triangles **are similar. That is why another way that we could express congruent triangles is to call them **similar triangles.** These are the triangles that look alike in some ways. The triangles may be similar in the following ways;

1)Angle Angle Side

2)Side Side Side

3)Side Angle Side

4)Angle Side Angle

5)Angle Side Side

Having seen the various ways in which triangle could be similar we are asked to obtain the triangles that are similar by **Angle Side Angle** and **Side Angle Side. **

A good look at the **triangles **as shown in the image attached to this answer would show us which of the **triangles **are similar on the basis of Angle Side Angle and Side Angle Side.

We can see that;

**Δ ABC **and **Δ XYZ** is related by** ASA**

**Δ BAC **and **ΔRQP** are related by **SAS **

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Solve the formula for the indicated variable

A=LWH for H

H=

### Answers

**Answer:**

**Step-by-step explanation:**

[tex]A=LWH\\[/tex]

**Divide both parts of the equation by LW:**

[tex]\displaystyle\\\frac{A}{LW} =H\\\\Thus,\\\\H=\frac{A}{LW}[/tex]

BRO PLEASE PLEASE PLEASE HELP ME THIS NEEDS TOBE SUBMITTED IN 2 MORE HOURS! :((

### Answers

**Answer:**

4096/729

**Step-by-step explanation:**

To raise a fraction to a power raise numerator and denominator to that power.

(16/9) ^3

4096/729

**Answer:**

a) 4096/729

**Step-by-step explanation:**

Given problem,

→ ((-4/3)²)³

Let's solve the given problem,

→ ((-4/3)²)³

→ (-4²/3²)³

→ (16/9)³

→ 16³/9³

→ 4096/729

Hence, answer is 4096/729.

Given: triangle ABC,

Angle B=120°,

AB= 6, BC = 10

Find: The area of triangle ABC

### Answers

The **area **of triangle ABC when Angle B=120°, AB= 6, BC = 10 is 25.980 square unit.

As per the question statement, we are supposed to find out the **area** of triangle ABC in which angle B=120°, AB= 6, BC = 10.

Lets find out AC for which we should know about **Cosine formula**

i.e., [tex]AC^{2} =AB^{2} +BC^{2} -2(AB)(BC)cos(B)\\AC^{2} =6^{2} +10^{2} -2*6*10cos120\\AC^{2}= 36+100-120*(-0.5)\\AC^{2}=196\\AC=\sqrt{196} =14[/tex]

Hence We have measures of all three sides of the triangle ABC.

Now we use the **Heron's formula **for calculating the area of triangle ABC.

We need semi perimeter i.e., [tex]s=\frac{AB+BC+AC}{2}[/tex]

[tex]s=\frac{30}{2} =15[/tex]

Now Area is given by,

[tex]area=\sqrt{s(s-AB)(s-BC)(s-AC)} \\area=\sqrt{15(15-6)(15-10)(15-14)} \\area=\sqrt{15*9*5*1} \\area=\sqrt{675} \\area = 25.980 unit^{2}[/tex]

**Area: **The space occupied by an object or a shape in square units.**Cosine Formula: **Uses the cosine of an angle to determine the remaining sides of the triangle.**Heron's Formula: **Uses the measure of the all sides of triangle to calculate the area of the triangle.

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Determine f –1(x) if f of x is equal to the quantity x plus 2 end quantity over the quantity x minus 3 end quantity where x ≠ 3.

f inverse of x is equal to the quantity x minus 3 end quantity over the quantity x plus 2 end quantity

b

f inverse of x is equal to the quantity x minus 2 end quantity over the quantity x plus 3 end quantity

c

f inverse of x is equal to the quantity x minus 1 end quantity over the quantity 3 times x plus 2 end quantity

d

f inverse of x is equal to the quantity 3 times x plus 2 end quantity over the quantity x minus 1 end quantity

### Answers

The **inverse function** of f(x) = (x + 2)/(x - 3) is given as follows:

[tex]f^{-1}(x) = \frac{3x + 2}{x - 1}[/tex]

How to obtain the inverse function?

The function in this problem is **defined **as follows:

f(x) = (x + 2)/(x - 3).

Using the **notation **y = f(x), it is given as follows:

y = (x + 2)/(x - 3).

To obtain the inverse, the first step is **exchanging **the variables x and y, as follows:

x = (y + 2)/(y - 3).

Now the **variable y **must be **isolated **to obtain the inverse function, as follows:

xy - 3x = y + 2

xy - y = 3x + 2

y(x - 1) = 3x + 2

y = (3x + 2)/(x - 1).

Hence the** inverse function** is given by:

[tex]f^{-1}(x) = \frac{3x + 2}{x - 1}[/tex]

Meaning that the** fourth option** is correct.

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directions: Find the distance between each pair of points

(-4, 6) and (3, -7)

### Answers

According to the solving the **distance** between **two** **points** is:

** = 14.77**

What is an example of a distance formula?

In **coordinate** **geometry**, the distance formula is used to calculate theactual distance between two points. The formula for calculating the distance between two locations (x1,y1) (x 1, y 1) and (x2,y2) (x 2, y 2) is D=(x2x1)2+(y2y1)2 D = (x 2 x 1) 2 + (y 2 y 1) 2.

What is the name ofthe distance between two points?

The length of a **line** **segment** seems to be the distance between two locations. **Congruent** **segments**are those with the same length. By drawing a line with a ruler, we may compute theapproximate distance between two points.

According to the given data:

Given points: (-4, 6) and (3, -7)

X₁ = -4

Y₁ = 6

X₂ = 3

Y₂ = -7

We know that the **distance** between two points:

distance = √((x₂ - x₁)²+(y₂ - y₁)²)

= √((3 - (-4))²+((-7) - 6)²)

= √((3 + 4)²+(-13)²)

= √((7)²+(-13)²)

= √((49)+(169))

= √(218)

= 14.77

According to the **solving** the distance between two points is:

= 14.77

To know more about **line segment **visit:

**https://brainly.com/question/25727583**

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Which graph describes Taco Truck 1?

Which graph describes Taco Truck 3?

Which graph describes Taco Truck 5?

### Answers

Line d and a I took the test on k13