**Answer:**

Jerome got 5 quarters, 1 dime and, and 3 nickels.

**Step-by-step explanation:**

Let's define the variables:

N = number of nickels he got

D = number of dimes he got

Q = number of quarters he got

We know that the nickels were worth $0.15

And each nickel is whort $0.05

Then:

N*$0.05 = $0.15

N = $0.15/$0.05 = 3

N = 3

Now we also know that there is a total of 9 coins, then:

N + D + Q = 9

3 + D + Q = 9

D + Q = 9 - 3 = 6

D + Q = 6

And we also know that the total change received is $1.50, then:

D*$0.10 + Q*$0.25 + N*$0.05 = $1.50

We know that N = 3, then we can replace that and get:

D*$0.10 + Q*$0.25 + 3*$0.05 = $1.50

D*$0.10 + Q*$0.25 = $1.50 - $0.15 = $1.35

D*$0.10 + Q*$0.25 = $1.35

Then we have two equations:

D + Q = 6

D*$0.10 + Q*$0.25 = $1.35

To solve this, we can isolate one of the variables in one of the equations, i will isolate D in the first one:

D = 6 - Q

Now we can replace this in the other equation:

(6 - Q)*$0.10 + Q*$0.25 = $1.35

Now we need to solve this for Q.

$0.60 - Q*$0.10 + Q*$0.25 = $1.35

Q*$0.15 = $1.35 - $0.60 = $0.75

Q = ($0.75)/($0.15) = 5

Q = 5

Then Jerome has 5 quarters.

Now we can return to the equation:

N + Q + D = 9

We already know that:

N = 3

Q = 5

Then if we replace those in the equation, we get:

3 + 5 + D = 9

8 + D = 9

D = 9 - 8 = 1

D = 1

SOMEONE PLS HELP!!! ITS DUE !!!

**Answer:**

d we cannot compare it volume to bh cubic inches

Can someone help me on this

**Answer:**

P = 44

**Step-by-step explanation:**

perimeter of a square = 4a

where a = side lenght

equation:

⇒ 4a

solve by substituting 11 for a

⇒ 4a

⇒ 4 x 11

⇒44

9(w + 6) simplified. please help!

**Answer:**

9w+54

**Step-by-step explanation:**

9(w + 6

distribute

9w+54

The width of a rectangular field is 20 feet less than its length. The area of the field is 12,000 ft? What is the length of the field?

80 ft

100 ft

120 ft

140 ft

**Answer:**

The answer is 120 feet.

**Step-by-step explanation:**

The area of the field (A) is:

A = w · l (w - width, l - length)

It is known:

A = 12,000 ft²

l = w - 20

So, let's replace this in the formula for the area of the field:

12,000 = w · (w - 20)

12,000 = w² - 20

⇒ w² - 20w - 12,000 = 0

This is quadratic equation. Based on the quadratic formula:

ax² + bx + c = 0 ⇒

In the equation w² - 20w - 12,000 = 0, a = 1, b = -20, c = -12000

Thus:

So, width w can be either

or

Since, the width cannot be a negative number, the width of the field is 120 feet.

The **length** of the **field** is 120 feet.

Option C is the correct answer.

What is a rectangle?A **rectangle** is a 2-D shape with **length** and **width**.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

**Area** = Length x width

We have,

Let's start by using the given information to set up two **equations**:

Let x be the **length** of the field in feet.

Then, the **width** of the field is x - 20 feet.

The **area** of the **field** is given as 12,000 square feet:

x (x - 20) = 12,000

**Expanding** the left side of the equation, we get:

x² - 20x = 12,000

Bringing all the **terms** to one side, we get:

x² - 20x - 12,000 = 0

Now, we can solve this **quadratic** **equation** using factoring,

Completing the **square**, or the quadratic formula.

Here, we will use **factoring**:

x² - 20x - 12,000 = 0

(x - 120) (x + 100) = 0

The **solutions** are x = 120 and x = -100, but a **negative** length doesn't make sense, so we **reject** that solution.

Therefore,

The **length** of the **field** is 120 feet.

To check, we can **substitute** x = 120 into the **equation** for the width:

**Width** = x - 20 = 100 feet

**Area** = Length x Width

= 120 ft x 100 ft

= 12,000 sq ft

Thus,

The **length** of the **field** is 120 feet.

Learn more about **rectangles** here:

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Find tan(B) in the triangle

**Answer:**

Answer is B

**Step-by-step explanation:**

SohCah**Toa **

[tex]tan = \frac{o}{a} [/tex]

Hypotenuse : Opposite the right angle. : 13

Opposite : Opposite the B angle : 5

Adjacent : The only side left : 12

we need opposite and adjacent, hypotenuse is irrelevant in this question.

Substitute the numbers

[tex]tan( \frac{5}{12} )[/tex]

Fill in the blank

When you multiply exponents with the same base, you _______ the base, and ________ the exponents

**Answer:**

multiply the base and add the exponents

an isosceles triangle has at least__congruent sides

**Answer:**

two

**Step-by-step explanation:**

an isosceles triangle has at least **two**** **congruent sides

A survey asked 12 students how many portable electronic devices they have in

their homes. The results are shown in the line plot below.

Based on the data in the line plot, calculate the following.

SHOW YOUR WORK! Each question is worth 2 points.

a) Mean (Round your answer to the nearest tenth.)

b) Median

c) Mode

d) Range

e) What percentage of the students have more than 3 portable electronic

devices in their home? Give your answer as a fraction, decimal, and percent.

**Answer:**

should be either b or c

**Step-by-step explanation:**

**Answer:**

Mean: 4.6666666

Mode: 5.5

Range: 6

75%

**Step-by-step explanation:**

The formular r= √A/P- 1 gives the interest rater that will allow principal P to grow into amount A in two years, if the interest is compounded annually. Suppose you have 5425

to deposit into an account. Find the interest rate you would need to have $470 in the account at the end of the second year.

The **interest rate **is 29.43%

The given parameters are:

Amount, A = $470

Principal, P = $5425

The **formula of rate **is given as:

r= √A/P- 1

Substitute known values

r= √470/5425- 1

Evaluate the difference

r= √470/5424

Evaluate the quotient

r= √0.08665

Evaluate the exponent

r= 0.2943

Express as percentage

r = 29.43%

Hence, the **interest rate **is 29.43%

Read more about **compound interest** at:

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The school band is having a car wash to raise money. There goal is to collect $150. So far they have earned $10 each from three families and $5 each from 15 families.How much more money do they have to earn to reach their goal?

they’ve already earned $105 so they need $45 more to reach their goal

Which is equivalent to 16^3/4

**Answer:**

1024

**Step-by-step explanation:**

a rectangular swimming pool is 15 feet long and x feet wide. What is the perimeter when x=12 feet

**Answer: 54 square feet**

**Step-by-step explanation:**

To find perimeter of a rectangle we must use the formula** l+l+w+w=p** where l and w represent width and length

Since we know length and width is x=12 just substitute so

15+15+12+12=54 so **54** is the perimeter

Select the two

pairs of figures that are similar.

**Answer:**

the first 2 pairs are equal in shape and proportion.

Three girls (Zeva, Abby and Jenny) went to a hair salon. Each girl had their hair styled (curly, straight, and wavy) and colored (blonde, red, and black). From the clues below, which chart correctly matches the girl, the hairstyle and the color?

That doesn’t make sense? Do u mean like guess on what their hair color and style could be

**Answer:**

You need to make the question again and include the chart.

**Step-by-step explanation:**

please please please please help me

Do the same to the other side

Sim porque positivo não fecha

answer to 9+5u+6u+1 ??

**Answer****:**** **

**.****10**** ****+**** ****11u**** **** ****or**** ****11u**** ****+**** ****10**

**Step-by-step explanation:**

combine like terms:

. 5u + 6u = 11u

. 9 + 1 = 10

**Answer:**

10+11u

**Step-by-step explanation:**

9+5u+6u+1

1. add the numbers that are the same. 9+1= 10

2.do the same thing to the other number(s) 5u+6u= 11u

3. add both you're answers together 10+11u

Who understands how to do this mess?

**Answer: 140**

**Step-by-step explanation:**

Angle 4 and A are supplementary meaning they add to 180

Thus you can do 180-40 = 140 to get that angle A = 140.

Since the two lines are parallel, Angle A is congruent to Angle D. Then, since Angle D is opposite Angle 3, we know that that Angle 3 and Angle D are congruent.

Which number is irrational?

**Answer:**

Irrational numbers are numbers that cannot be expressed as the ratio of two whole numbers. This is opposed to rational numbers, like 2, 7, one-fifth and -13/9, which can be, and are, expressed as the ratio of two whole numbers.

help pls! ill mark best answer brainliest

D is equal to 19 :)))

A square fits exactly inside a circle with each of its vertices being on the circumference of the circle

Draw or sketch out any problems like this, otherwise they appear abstract.

A circle’s area can be calculated by (pi d^2)/4 We have an area of 56 cm (^2?), so

pi d^2 = 56 x 4 (or 224) d^2 = 224/pi, d = √(224/pi)

A circle circumscribed around a square has a diameter equivalent to the length of the square’s diagonal, so the square’s diagonal is √(224/pi) (same as the circle diameter…)

A square’s side can be calculated, knowing its diagonal length, by use of Pythagoras’ theorem… The diagonal √(224/pi) is squared, divided by two, since the square’s sides are all equal, and the resulting number’s square root is calculated.

Squaring √(224/pi), we get 224/pi, and dividing by two, we get 112/pi, which is 35.6507 (cm^2), and the square root is 5.9708 cm, the side of the square.

I cannot emphasize enough that a drawing or sketch is an invaluable tool for these tasks, it saves having to retain a “picture” in your head. Note that a calculator was not required up until the last moment, dividing 112 by pi, and finding the square root of that answer. Picking up the calculator too early obliges you to transcribe numbers from the calculator to paper, and that can lead to issues. Try to enjoy maths, see it as a challenge not a chore. (and use correct units!)

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Related Questions (More Answers Below)

A circle’s area can be calculated by (pi d^2)/4 We have an area of 56 cm (^2?), so

pi d^2 = 56 x 4 (or 224) d^2 = 224/pi, d = √(224/pi)

A circle circumscribed around a square has a diameter equivalent to the length of the square’s diagonal, so the square’s diagonal is √(224/pi) (same as the circle diameter…)

A square’s side can be calculated, knowing its diagonal length, by use of Pythagoras’ theorem… The diagonal √(224/pi) is squared, divided by two, since the square’s sides are all equal, and the resulting number’s square root is calculated.

Squaring √(224/pi), we get 224/pi, and dividing by two, we get 112/pi, which is 35.6507 (cm^2), and the square root is 5.9708 cm, the side of the square.

I cannot emphasize enough that a drawing or sketch is an invaluable tool for these tasks, it saves having to retain a “picture” in your head. Note that a calculator was not required up until the last moment, dividing 112 by pi, and finding the square root of that answer. Picking up the calculator too early obliges you to transcribe numbers from the calculator to paper, and that can lead to issues. Try to enjoy maths, see it as a challenge not a chore. (and use correct units!)

2.3K views

Related Questions (More Answers Below)

How many right angles need to be put together to make:

a.) 360 degrees?

b.) 180 degrees?

C.) 270 degrees?

d.) A straight angle?

**Answer:**

A 180° angle is called a straight angle. Angles such as 270 degrees which are more than 180 but less than 360 degrees are called reflex angles. A 360° angle is called a complete angle.

**Answer:**

A. 4

B. 2

C. 3

D. 2

**Step-by-step explanation:**

Multiplication!!! Always remember that a right angle is 90 degrees, also a straight angle is 180 degrees..

Remember like this:

90 x 1 =90

90 x 2 =180

90 x 3 = 270

90 x 4 = 360

Can someone please help me answer this??

In other words, **y-2 goes in the first box **and **5 goes in the second box.**

=================================================

Work Shown:

y^2 - 4y - x + 9 = 0

y^2 - 4y + 9 = x

x = y^2 - 4y + 9

x = y^2 - 4y + 4 + 5 .... rewrite 9 as 4+5

x = (y^2-4y+4) + 5

x = (**y-2**)^2 + **5 **.... apply the perfect square factoring rule

So we'll have **y-2 go in the first box** and **5 goes in the second box**

note: One version of the perfect square factoring rule says (a-b)^2 = a^2-2ab+b^2.

the top answer is correct might just want to tell you that

Please give me the correct answer.Only answer if you're good at math.

**Answer: **

**The first hour is 14 euros and each hour after that is 2 euros.**

A square has an area of 36 m2. The square is scaled in such a way that its area is increased by 28 m2. What is the approximate factor by which the length of the side of the square is increased?

**Answer:**

The length has increased by a factor of 4/3 or 1 1/3

**Step-by-step explanation:**

To find the initial length.: root 36.

Root 36 = 6

Then to find the increased version, first find the area: 36 + 28 = 64

Now, the length.

Root 64 = 8

To find the factor it increased by:

6x = 8

x = 8/6 = 4/3

The length has increased by a factor of 4/3 or 1 1/3

x

For f(x)=0.01(2) , find the average rate of change from x=3 to x=8.

Answer:

Option b. 0.496

Step-by-step explanation:we know that

f(x)=0.01(2^{x})

The average rate of change is equal to

\frac{f(b)-f(a)}{b-a}

where

a=3

b=8

f(a)=f(3)=0.01(2^{3})=0.08

f(b)=f(8)=0.01(2^{8})=2.56

Substitute

\frac{2.56-0.08}{8-3}

\frac{2.48}{5}

0.496

what ratio is equivalent to 9/8

**Answer:**

3:4

**Step-by-step explanation:**

divide into simplest form would be 3:4

**Answer:**

:)

**Step-by-step explanation:**

9 :8 18 :16 27: 24 36:32 45:40 54:48 63:56 72:64 81:72 90:80 99:88

can someone help me solve this?

**Answer:**

Try B

**Step-by-step explanation:**

That's what I would choose. Sorry if it's wrong.

You have $35 in your bank account and deposit $2.50 each week. At the same time, your cousin has $115 but is withdrawing $7.50 each week. When will the accounts have the same balance? How much will they have?

What are the variables and equations, and how do you solve?

**Answer:**

$55

**Step-by-step explanation:**

Let w = the no. of weeks

35 + 2.50w = amount you will have in the account after w weeks

115 - 7.5w = amount cousin will have in the account after w weeks

You need to set these expressions equal to each other.

35 + 2.50w = 115 - 7.5w Multiply thru the equation

by 10 to remove the fractions

350 + 25w = 1150 - 75w

100w = 800

w = 8 weeks

35 + 2.50w = 35 + 2.5(8) = 35 + 20 = $55

115 - 7.50w = 115 - 7.50(8) = 115 - 60 = $55

Use the translation (x, y) = (x + 5, y - 9) for questions a-e.

a. What is the image of A (-6, 3)?

b. What is the image of (4,8)?

c. What is the image of (5.-3)?

d. What is the image of A from #1, which would be called A"?

e. What is the pre-image of D' (12. 7)? (x - 5, y + 9)

Help please!!

Answer: it’s a I have the same question but I have to solve and they already gave me the answer

Step-by-step explanation:

a jewellery shop is having a sale

a bracelet is now reduced to 420 pounds

this is 70% of the original price

A) workout the original price of the bracelet

a ring is now reduced to 840 pounds

this is a saving of 40% of the original price

b) workout the original price of the ring

**Answer:**

a) £600

b) £1400

**Step-by-step explanation:**

a)

original price = x

reduced price = £420

reduced price is 70% of original price

Since the discounted price, £420, is 70% of the original price, x, then

70% of x = 420

0.7x = 420

x = 420/0.7

x = 600

Answer: £600

b)

original price = x

discounted price = £840

discount percentage = 40%

The original price is x, and x is 100% of the original price since 100% is the whole amount. The discount is 40% of the original price. 100% - 40% = 60%. That means the discounted price is 60% of the original price.

60% of x = 840

0.6x = 840

x = 840/0.6

x = 1400

Answer: £1400

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