Mathematics College

## Answers

**Answer 1**

Using **proportions**, we have that:

The height of the building is found using a **rule of three**.The height is of **20 feet.**

**What is a proportion?**

A proportion is a **fraction **of a total amount, and the measures are related using a **rule of three**.

The scale is of 1 inch = 8 feet. What is the height for 2.5 inches? The *rule of three* is given by:

1 inch - 8 feet.

2.5 inches - x feet

Applying **cross multiplication**, the height in feet of the final building is given by:

x = 8 x 2.5 = 20 feet.

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**Answer 2**

The **height** of the building is calculated by representing** 1 inch as 8 feet**. The final building has a height of **20 feet**.

What is **scaling**?

Scaling is the **increase or decrease** in the height of an object by a **scale factor k.**

Given that the scale used is:

**1 inch = 8 feet.** Hence:

Since the height of the building is 2.5 in, hence:

**Height** of the final building = 2.5 in * 8 ft per 1 in =** 20 feet**

The **height** of the final building is **20 feet**.

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## Related Questions

A triangular garden is being

formed by bricks. The three

sides measure 4 feet, 10

feet, and 3 feet in length.

Will these measurements

result in a triangle?

### Answers

**Answer:**

Yes

**Step-by-step explanation:**

If there are three measurements, then it will result in a triangle.

If f(x)=3x−1 and f(a)=−43, what is the value of a ??

### Answers

**Answer:**

a = -14

**Step-by-step explanation:**

f(a) = -43

3a - 1 = -43

3a = -43 + 1

3a = -42

a = -42/3

a = -14

An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $5900 and his stock in Company B was worth $1850. The stock in Company A has increased 20% since last year and the stock in Company B has increased 18%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).

### Answers

**Answer:**

**Step-by-step explanation:**

FinalAnswer:19.5%

The total **percentage **19.5% increase in the investor's stock account

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a **percentage**. And it is represented by the symbol '%'.

Given:

An **investor **has an account with stock from two different companies. Last year, his stock in Company A was **worth **$5900 and his stock in Company B was worth $1850.

The total **worth **is $5900 + $1850 = $7750

The **stock **in Company A has increased 20% since last year.

So,

20% of 5900,

= 20 x 5900 /100

= $1180

And the stock in **Company **B has increased 18%.

So,

18% of 1850,

= 18 x 1850/100

= $333

The total **increased **amount,

= $333 + $1180

= $1513

The increased **percentage**,

1513 = n x 7750/100

n = 1513 x 100/7750

n = 19.522

n = 19.5% to the **nearest **tenth.

Therefore, 19.5% is the required **percentage**.

To learn more about the** percentage;**

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#SPJ2

A farmer sells 7.7 kilograms of apples and pears at the farmer's market.

1

4

of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?

### Answers

**Answer:**

She sold 5.775 kilograms of pears at the farmer's market.

**Step-by-step explanation:**

Let's first determine the information that the question gives us, and what we need to find.

**Given:**

The farmer sold 7.7 kilograms of apples and pears

1/4 of the weight is apples

The rest of the weight is pears

**Find:**

Kilograms of pears that the farmer sold

Start by finding the fraction of the whole weight that was pears...

[tex]1-\frac{1}{4}=\frac{4}{4}-\frac{1}{4}=\frac{3}{4}[/tex]

Now, find 3/4 of 7.7...

[tex]\frac{3}{4}(7.7)=\frac{23.1}{4}=5.775\ kg[/tex]

**She sold 5.775 kilograms of pears at the farmer's market. **

1 Susie wants to make some hot cereal for breakfast. The directions say to use 3 cups

of water with 1 cup of cereal to make 4 servings. Susie only wants 1 serving.

a

How much cereal should she use?

b How much water should she use?

### Answers

Using **proportions **to relate the amount of cups needed, it is found that she should use:

**a) **0.25 cups of cereal.

**b) **0.75 cups of water.

What is a proportion?

A proportion is a **fraction **of a total amount.

In this problem, for 4 servings, 3 cups of water and 1 cup of cereal is needed. **One serving** is **one-fourth** of the amount, hence:

Item **a**:

1/4 x 1 = 0.25 cups of cereal.

Item **b**:

1/4 x 3 = 3/4 = 0.75 cups of water.

More can be learned about **proportions **at https://brainly.com/question/24372153

What the value of q?

### Answers

**Step-by-step explanation:**

this is very simple.

you can compare this to the question "in my bag are 70 pieces of fruit. 30 of them are apples. how many pieces of other fruit are there ?"

well, it is 70 - 30 = 40 !

that's it ! that is all there is to it.

so, q = 40°

what is still unclear, please ?

n/52 = 180/120 = n

18/n = 21/28 =n

n/4 = 24/6 =n

10/16 = n/56=n

solve each propotion

### Answers

1. n/52 = 180/120

180/120 = 1.5

n/52 = 1.5

Multiply 52 on both sides to simplify:

n=78

2. 18/n = 21/28

21/28 = 0.75

18/n = 0.75

Multiply n on both sides to remove

fraction: 18 = 0.75n and divide both sides

by 0.75 to simplify again.

n=24

3. n/4 = 24/6

24/6 = 4

n/4 = 4

Multiply 4 by both sides to simplify:

n=16

4. n/56 = 10/16

10/16 = 0.625

n/56 = 0.625

Multiply 56 on both sides to simplify:

n=35

Hope this helps :))

**Answer:**

1. n/52 = 180/120

180/120 = 1.5

n/52 = 1.5

Multiply 52 on both sides to simplify:

n=78

2. 18/n = 21/28

21/28 = 0.75

18/n = 0.75

Multiply n on both sides to remove

fraction: 18 = 0.75n and divide both sides

by 0.75 to simplify again.

n=24

3. n/4 = 24/6

24/6 = 4

n/4 = 4

Multiply 4 by both sides to simplify:

n=16

4. n/56 = 10/16

10/16 = 0.625

n/56 = 0.625

Multiply 56 on both sides to simplify:

n=35

**Step-by-step explanation:**

If x = 12 cm, what is the volume of the prism?

cm3

### Answers

**Answer:**

*4**3**2**0*

**Step-by-step explanation:**

*P**L**E**A**S**E** **M**A**R**K** **M**E** **A**S** **B**R**A**I**N**L**I**E**S**T** **A**N**D** **H**A**V**E** **A** **N**I**C**E** **D**A**Y** **:**)** *

Which of the following expressions are equivalent to 6 + (-4) - 56+(−4)−56, plus, left parenthesis, minus, 4, right parenthesis, minus, 5?

Choose 2 answers:

Choose 2 answers:

(Choice A)

A

-(-6+4)-5−(−6+4)−5minus left parenthesis, minus, 6, plus, 4, right parenthesis, minus, 5

(Choice B)

B

6-4-(-5)6−4−(−5)6, minus, 4, minus, left parenthesis, minus, 5, right parenthesis

(Choice C)

C

6-(4+5)6−(4+5)6, minus, left parenthesis, 4, plus, 5, right parenthesis

(Choice D)

D

6+4-56+4−56, plus, 4, minus, 5

(Choice E)

E

-(-6)+(-4)-(-5)−(−6)+(−4)−(−5)

### Answers

Choice a (-6+4)-5(-6+4)-5

**Answer:**

**Step-by-step explanation:**

−5+6−4

and

−4+(−5)+6

The electrical current, in amperes, in a circuit varies directly as the voltage. When 18 volts are applied, the current is 6 amperes. What is the current when 51 volts are applied?

### Answers

**Answer:**

**Step-by-step explanation:**

6 Ampheres or 6A

Step-by-step explanation:

I = Current (unit is Amphere or A)

V = Voltage (unit is Volt or V)

R = Resistance ( unit is Ohm or Ω)

Formulas:

V=IR ; when getting the voltage

R=V/I; when getting the resistance

I=V/R; when getting the current

Solution of the Problem:

First, you have to get the resistance using the first given senario.

Distribute the given values (Voltage=15 Volts or 15V and Current= 5 Ampheres or 5A) to the formula on how to get the resistance.

R=V/I = 15 Volts/5 Ampheres

= 3 Ohms or 3Ω

Now, you have the value of the resistance which is 3 Ohms or 3Ω and the given value of voltage which is 18 Volts or 18V for the second senario.

I=V/R = 18 Volts/ 3 Ohms

= 6 Ampheres or 6A

So, the value of the current is 6 Ampheres or 6A

mark me brainliest and hope this helps!

If 15 percent of cars are blue and an observer's observation is 80 percent accurate, what is the probability that a car is, in fact, blue when the witness reports it as blue

### Answers

The **probability **that a car is **blue **is the **likelihood** of the car being **blue**

The **probability **that a car is, in fact, **blue **when the witness reports it as **blue **is 12%

How to determine the probability?

The given parameters are:

P(Blue) = 15%

P(Accurate) = 80%

The **probability **that a car is **blue**, and the observation is **accurate** is calculated as:

P(Blue and Accurate) = P(Blue) * P(Accurate)

This gives

P(Blue and Accurate) = 15% * 80%

Evaluate the product

P(Blue and Accurate) = 12%

Hence, the **probability **that a car is, in fact, **blue **when the witness reports it as **blue **is 12%

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Becket needs to solve the system of equations using elimination.

-2x+4y=-2

(6x-y=28)

Which correctly describes the first step Becket should take?

A. Multiply each term in the 1st equation by -3

B. Multiply each term int he 1st equation by 3

C. Multiply each term in the 2nd equation by -4

D. Both B and C would work

### Answers

**Answer:**

B. Multiply each term in the 1st equation by 3

**Step-by-step explanation:**

A is incorrect because multiplying the entire 1st equation by -3 will give you 6x - 12y = 6. This **does not cancel** with either x or y term in the second equation.B is correct because by multiplying the entire 1st equation by 3 will give you -6x + 12y = -6. The -6x term will cancel (or eliminate) the 6x term in the second equation.C is incorrect because multiplying the entire 2nd equation by -4 will give you -24x + 4y = -112. This does not cancel with either x or y term in the 1st equation.D is incorrect because C was proven to be incorrect.

**Step-by-step explanation:**

step 1

Multiply each term in the second equation with 4

step 2

Add equation 1 to equation 2

step 3

make x subject of formula and obtain value of X

step 4

substitute value of X in equation 1 and find Y

I need lateral surface

### Answers

**Answer:**

un rhgdb tennis felicidades ID remix estoy do do ID do ID Rockband do ID do TX

The following list gives the number of pets for each of 14 students.

2

,

0

,

2

,

4

,

4

,

4

,

3

,

2

,

3

,

4

,

1

,

3

,

3

,

2

Find the modes of this data set.

If there is more than one mode, write them separated by commas.

If there is no mode, click on "No mode."

### Answers

2,3,4 are the mode of this set of data

**Answer:**

2,3,4

**Step-by-step explanation:**

*Given data:*

*2,0,2,4,4,4,3,2,3,4,1,3,3,2*

*Solution:*

*Mode = Most often number*

*There are *

*4 = two's*

*1 = zero's*

*4 = four's*

*4 = Three's*

*1 = ones's*

*Hence the mode is:*

*2,3,4*

**~lenvy~**

I will give the brainiest if you get it right.

### Answers

**Answer:**

1 ≤ x < 7/4

**Step-by-step explanation:**

The **function f(x)** is defined as **increasing on the domain (-8, 4)**, so the ordering of the arguments is not changed by the function. We can solve the **inequality** as though f(x) = x, which is increasing everywhere.

Inequality solutions

f(4x -3) ≥ f(2 -x²)

4x -3 ≥ 2 -x² . . . . . . using our assumed definition of f(x)

x² +4x -5 ≥ 0 . . . . . subtract 2-x²

(x -1)(x +4) ≥ 0 . . . . factored form; zeros at -4, +1

The values of x that make this true are ones that make the factors have the same signs: x ≤ -4 or x ≥ 1.

Domain restrictions

The domain of f(x) is -8 < x < 4, so we require the arguments of *f* be restricted to those values

**Left side**

-8 < 4x -3 < 4

-5 < 4x < 7

-5/4 < x < 7/4

**Right side**

-8 < 2 -x² < 4 . . . . . right side is always true

x² < 10 . . . . . . . . . . . add x² +8

|x| < √10 . . . . . . . . . . less restrictive than the the left-side restriction

Solution

With the given domain restrictions on f(x), the inequality will be true on the interval ...

** 1 ≤ x < 7/4**

__

*Additional comment*

The attached graph shows the left-side function argument (dashed blue) and the right-side function argument (dashed green) with the given domain restrictions. The red curve is the difference in function values for the function defined as above. It is only non-negative between 1 and 1.75 as we found above.

This general behavior is applicable for any f(x) that can be described as in the problem statement. For example, f(x) = √(x+8) also gives an increasing curve for the difference f(4x-3)-f(2-x²) on the interval (-5/4, 7/4) with an x-intercept of +1.

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what is the measure of the space occupied by a solid. (Measured in cubic units)

### Answers

Volume. Hope this helps!

find the horizontal asymptote for y= 5x/x+6 .

y = 0

y = −6

none

y = 5

### Answers

**Answer:**

[tex]y = 5[/tex]

**Step-by-step explanation:**

Given function:

[tex]y=\dfrac{5x}{x+6}[/tex]

[tex]\implies y=5 \left( \dfrac{x}{x+6}\right)[/tex]

[tex]\textsf{As }x \rightarrow +\infty, \ \dfrac{x}{x+6} \rightarrow1[/tex]

[tex]\implies y\rightarrow5[/tex]

[tex]\textsf{As }x \rightarrow -\infty, \ \dfrac{x}{x+6} \rightarrow1[/tex]

[tex]\implies y\rightarrow5[/tex]

As [tex]x[/tex] approaches infinity and negative infinity, [tex]y[/tex] approaches 5 (but never gets there). Therefore, the horizontal asymptote is [tex]y=5[/tex]

Which mathematical word describes both 27x and 6x in the expression 27x+6x

coefficient

difference

difference

sum

sum

term

term

### Answers

The mathematical word describing both **27x ** and** 6x** in the expression is **"addition" or "sum"**

How to use mathematical word to describe an expression

The mathematical expression is **27x + 6x.**

**Mathematical expression** are combinations of numbers and variables ordered with operations.

**Mathematical expression** is a combination of numbers, variables, operators (such as addition, subtraction, multiplication or division etc.).

For the given case, the terms are **27x** and **6x** and the expression formed from them is **27x + 6x. **

This simply implies both terms are **summed** together to give the expression **27x + 6x. **

Therefore, the mathematical word describing both ** 27x** and** 6x** in the expression is **"addition" or "sum"**

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An AC generator produces an alternating current with a peak value of 18 V. The resistance of the lamp is 4 ohms. What is the effective current?

### Answers

The** effective current** when an AC peak voltage of** 18V** is applied to a lamp with** 4 ohm** resistance is **3.18 A**.

What is **current**?

Current is the** flow of electrons** through a **conductor **when voltage is applied across the conductor.

Given the peak voltage of 18 V, hence:

[tex]V_{rms}=\frac{Peak\ value}{\sqrt{2} } =\frac{18}{\sqrt{2} } =12.73 V\\\\I_{rms}=\frac{V_{rms}}{resistance } =\frac{12.73}{4 } =3.18 A\\[/tex]

The** effective current** when an AC peak voltage of** 18V** is applied to a lamp with** 4 ohm** resistance is **3.18 A**.

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Solve for x. Round all answers to the nearest tenth.

11

11.7

10.2

11.9

### Answers

**11.9 - last one**

**Step-by-step explanation:**

Adjacent + hypotenuse = Cos / Cah

Cos32 = x/14

x14

11.87... = x

So, 11.9 to nearest tenth

**Hope this helps! **

100 Points and Brainliest.

Write an equation that represents the line.

Use exact numbers.

Inserting gibberish or an absurd answer that isn't applicable will be reported and removed.

### Answers

**Answer:**

See below ↓

**Step-by-step explanation:**

We have a graph given to us.

⇒ Take the points to form an equation!

The points

(4, 6)(-2, 1)

Making an equation

Find the slopem = 1 - 6 / -2 - 4m = -5 / -6**m = 5/6**

Take one of the two points and substitute in the equation :⇒ y - y₁ = m (x - x₁)⇒ y - 6 = 5/6 (x - 4)⇒ y - 6 = 5x/6 - 10/3⇒ **y = 5x/6 + 8/3**⇒ or **6y = 5x + 16**

Take two points

(-2,1)(4,6)

Slope:-

[tex]\\ \rm\rightarrowtail m=\dfrac{6-1}{4+2}=\dfrac{5}{6}[/tex]

Equation in point slope form

[tex]\\ \rm\rightarrowtail y-1=5/6(x+2)[/tex]

[tex]\\ \rm\rightarrowtail 6y-6=5x+10[/tex]

[tex]\\ \rm\rightarrowtail 6y=5x+16[/tex]

[tex]\\ \rm\rightarrowtail y=5/6x+8/3[/tex]

Jemima was arranging 400 packets of biscuits for a sale. She put 52 packets into a basket and displayed 25% of the remaining packets on the shelves. What percentage of all the packets of biscuits did Jemima display on the shelves?

### Answers

**Answer:**

87% of all the packets of biscuits Jemima displayed on the shelves.

**Step-by-step explanation:**

400-52=348

so, 348*25%

348*25/100

87

Which number is a common multiple of 2 and 4?

A) 14

B) 24

C) 26

D) 34

LAST QUESTION MORE POINTS LETS TAKE IT TO 100!

### Answers

**Answer: **B) 24

**Step-by-step explanation:**

All of these are multiples of 2 since they are all even numbers, so we will look to see which is a multiple of four.

Multiples of four are 4, 8, 12, 16, 20, **24**, 28, 32, 36, 40, etc.

I bolded and underlined 24 because it is in the list of options. B) 24 is a common multiple of 2 and 4.

24 / 2 = 12

24 / 4 = 6

Gloria's grandmother gave her a quilt made

up of pieces that have the following dimensions

area of the quilt piece.

bin

Thin

sin

### Answers

**Answer:**

What?

**Step-by-step explanation:**

is this your whole question?

Find the area of the shaded region. Use 3.14 for π.

### Answers

**Answer: 122 cm squared (aprox)**

**Step-by-step explanation:**

Area circle pi* 10 squared = 314 cm squared

Area rectangle 12x16 = 192 cm squared

314-192 = 122

Mary borrows $5,000 dollars from her mother at a 3% simple interest rate and pays her $600 in interest after years. What is the value of ?

2

3

4

5

### Answers

**Answer:**

4 years

**Explanation:**

[tex]\sf simple \ interest :\dfrac{P * R *T}{100}[/tex]

[tex]\hookrightarrow \sf \dfrac{5000*3*t}{100} = 600[/tex]

[tex]\hookrightarrow \sf {15000*t} = 600(100)[/tex]

[tex]\hookrightarrow \sf t = \dfrac{60000}{15000}[/tex]

[tex]\hookrightarrow \sf t = 4[/tex]

**Answer:**

The **time **will be **4**** ****years**** ****.**

**Step-by-step explanation:**

**Given ****:**** **

** **** **** **** **** **** **** **** **** **** **** **Simple Interest = $600

Principle = $5,000

Rate = 3%

Time = ?

Formula for **Simple**** ****Interest ** = P×R×T / 100

=> 5,000 × 3 × T / 100 = 600

=> T = 60,000 / 5,000×3

=> T = 60,000/15000

=> T = 4 **years **

prism x is showen below. the volume of prism y is 10 cubic cm greater than the volume of prism x. what is the volume of prism y.

### Answers

**Answer:**

it’s 3 x 2x 5 = 30

Then use that product and times it by 10. ( 10 x 30 )

Ans = 300 cubic centimeters

**Step-by-step explanation:**

3 x 5 x 2 = 30

30 x 10 = 300

Ans = 300 cubic centimeters

Please helppppppp thank you so much

### Answers

**Answer:**

7 1/8

**Step-by-step explanation:**

1 1/8 + 1 1/8 is 2 2/8

2 2/8 + 4 7/8 is 6 9/8 = 7 1/8

Aidan earned a total of $117 in one week. His babysitting job pays him $15 per hour. His after-school job at a barber shop pays him $9 per hour. He worked a total of 9 hours that week. The system of linear equations represents this situation, where x represents the number of hours Aidan spent babysitting and y represents the number hours he worked at the barber shop.

x + y = 9

15x + 9y = 117

How many hours did Aidan work at each job?

### Answers

The hours worked at the **babysitting job **is **6 hours. **

The hours worked at the **barber shop **is **3 hours.**

What are the hours worked at the babysitting job?

Given the two **linear equations: **

x + y = 9 **equation 1**

15x + 9y = 117 **equation 2**

Multiply **equation 1 **by 9

9x + 9y = 81 **equation 3**

Subtract **equation 3 **from 1

36 = 6x

x = **6**

What are the hours worked at the barber shop?

Substitute for x in **equation 1 **

6 + y = 9

y = 9 - 6

y = **3 hours**

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Carly needs $149 to buy a skateboard. She already has $52. She earns money washing cars for $20 a car.

Carly says that if she washes 5 cars she will have enough money to buy the skateboard.

Is Carly correct? Use the drop-down menus to explain.

Choose...

; If Carly washes 5 cars, she will have a total of

Choose...

. This is

Choose...

then the cost of the skateboard, so she

Choose...

have enough money.

### Answers

**Answer:**

$149 - price of the skateboard

$52 - Carly's money

$20 × 5 cars = $100

$100 + $52 = $152

$152 - $ 149 = $3

money left is $3