Write the ratio as a fraction in simplest form.

35 girls : 15 boys

The ratio as a fraction in simplest form is
.

Answer:

x = 9

Step-by-step explanation:

1/4(8x+12) =21

1/4 * 8x = 2x

1/4 * 12 = 3

2x + 3 = 21

21 - 3 = 18

2x = 18

18/2 = 9

x = 9

Answer:

x=9

Step-by-step explanation:

2x+3=21

2x=18

x=9

Answer:

She made $1230 more on printed shirts than plain shirts in 25 weeks.

Step-by-step explanation:

Hi,

Okay, I have to admit, this is pretty complicated. But, it's not impossible :) First things first, we know that the equation in the table is the number of shirts sold after W number of weeks. We know that we need to, first, find the total number of shirts sold in 25 weeks.

The equation for the plain shirts is 5w -4. Let's start with that.

Plugin 25 for w to find the total number of plain shirts sold after 25 weeks.

5w - 4

5(25) - 4

= 121

She sold 121 plain shirts after 25 weeks. But we're not done yet, we still have to see how much money she made after selling 121 plain shirts. To do this, we have to multiply the total number of plains shirts sold by 15. (we know that each plain short costs $15, that's why we're multiplying it by 121)

When you do this...

121 x 15

You get...

$1815

She got $1815 after 25 weeks just for selling plain shirts.

Now, let's find the total cost of printed shirts after 25 weeks.

The equation for the printed shirts if 8w + 3.

8w + 3

8(25) + 3

= 203

She sold 203 printed shirts in 25 weeks. Let's find the cost. Each printed shirt costs $15 so we need to multiply 203 by 15.

203 x 15

You get...

$3045

She made $3045 by selling printed shirts in 25 weeks.

Now, we have to subtract $3045 by $1815 to find how much more she made. You get...

3045 - 1815

= $1230

She made $1230 more on printed shirts than plain shirts in 25 weeks.

I really hope this helps :)

Answer:

B and can I brainliest

Step-by-step explanation:

Answer:

Positive nonlinear association

Step-by-step explanation:

It is slightly curved upwards and not spread out so its positive and nonlinear

Here are some images to help you understand more

Answer:

I don't nowggggghhhhhhh

The answer can be explained like this

Step-by-step explanation:

Here,X=6 Y=5

12+X=12+6=18

3x+y=3×6+5=23

4y-10=4×5-10=10

1/2xy=1/2×6×5=30/2=15

Answer:

Refer to the attachment. Hope it helps you. Please mark as the brainliest. Thanks

Answer:

10

Step-by-step explanation:

You can count from point A to B.

Answer:

I'm doing the same thing lol I'm 12

Answer:

For Number 2 is: 9.5,  10, and 25

For number 3 is: 4

Step-by-step explanation:

Hope this helps, sorry if incorrect

Answer:

Step-by-step explanation:

Sorry bro can’t help you on that one

Answer:

Step-by-step explanation:

21 percent

Answer:

The plane used 65% of its fuel capacity on the flight.

Step-by-step explanation:

Answer:

It costs $394.88

Step-by-step explanation:

Was it correct??

Answer:

The total cost for 32 books is $394.88.

Step-by-step explanation:

Answer:

Step-by-step explanation:

r = radius h = height s = slant height V = volume L = lateral surface area B = base surface area A = total surface area π = pi = 3.14159 √ = square root

Answer:

[tex] \huge \boxed{ \boxed{ 50 \sqrt{3} \: or \: 86.6}}[/tex]

Step-by-step explanation:

to find the height we need to use tan function because we are given adjacent and angle and we need to figure out opposite (height) [tex]\tan(\theta)=\dfrac{opposite}{adjacent}[/tex]

let opposite be AC

let adjacent be BC

according to the question:

[tex] \quad \: \tan( {60}^{ \circ} ) = \dfrac{AC}{BC} [/tex]

now we need a little bit algebra to figure out AC (height)

[tex]\text{we are done!}[/tex]

Answer:It is 19,371.02

Step-by-step explanation: If You Find out What 19 Percent of the number is then subtract it from your Number Then Repeat This 4 Times

Given:

The bases of triangular prism are right triangles with a base of 12 inches and height of 9 inches.

The height of the prism is 11 inches.

To find:

The surface area of the triangular prism.

Solution:

Using the Pythagoras theorem, the hypotenuse of the bases of the triangular prism is:

[tex]Hypotenuse^2=Base^2+Height^2[/tex]

[tex]Hypotenuse^2=12^2+9^2[/tex]

[tex]Hypotenuse^2=144+81[/tex]

[tex]Hypotenuse^2=225[/tex]

Taking square root on both sides.

[tex]Hypotenuse=15[/tex]

The surface after of the triangular prism contains 3 rectangles of dimensions 12 inches by 11 inches, 9 inches by 11 inches, 15 inches by 11 inches and two triangles with base 12 inches and height 9 inches.

Area of the rectangle:

[tex]Area=Length \times Width[/tex]

So, the area of three rectangles are:

[tex]A_1=12 \times 11[/tex]

[tex]A_1=132[/tex]

[tex]A_2=9 \times 11[/tex]

[tex]A_2=99[/tex]

[tex]A_3=15 \times 11[/tex]

[tex]A_3=165[/tex]

Area of a triangle is:

[tex]Area=\dfrac{1}{2}\times base \times height[/tex]

So, the area of the triangles is:

[tex]A_4=\dfrac{1}{2}\times 12 \times 9[/tex]

[tex]A_4=6 \times 9[/tex]

[tex]A_4=54[/tex]

And, the triangles have same dimensions so their areas are equal.

[tex]A_4=A_5=54[/tex]

Now,

[tex]Area=A_1+A_2+A_3+A_4+A_5[/tex]

[tex]Area=132+99+165+54+54[/tex]

[tex]Area=504[/tex]

Therefore, the surface area of the triangular prism is 504 sq. inches.

Answer:

1096

Step-by-step explanation:

I used a calculator hope it helps

Eric have left 1096 cups

Answer:

x ≥ 40

Step-by-step explanation:

Given:

At least people buy coffee = 40

Number of people buy coffee = x

Find:

Inequality

Computation:

Number of people buy coffee ≥ At least people buy coffee

x ≥ 40

Answer:

82 mm^2

Step-by-step explanation:

you would have to find the area for 2 squares. The first is 8 x 9, so the area of that would be 72. The second square is 5 x 2, which is ten. Add those together to get 82

Answer:

$16,800

Step-by-step explanation:

The amount that would be in the account = amount deposited + interest earned on deposit

interest earned on deposit can be determined by determining the simple interest

Simple interest = principal x time x interest rate

principal = the amount deposited = $15,000

Time = the duration of the deposit = 4 years

interest rate = the percentage on deposit that would be earned = 3%

15,000 x 0.03 x 4 = $1,800

The amount that would be in the account = $15,000 + $1800 = $16,800

Answer:

The first one's C-Neither, The second one's A- arithmetic and the last one's 11

Step-by-step explanation:

I just did the assignment myself just now and P.S. UNUS ANNUS

Given sequence us neither arithmetic sequence nor geometric sequence.

"It is the list of elements arranged in particular order."

"It is a sequence in which consecutive terms have common difference."

"It is sequence in which consecutive terms have common ratio."

For given example,

we have a sequence 10; 110; 1,110; 11,110; . . .

If we take the difference between consecutive terms then it would be,

110 - 10 = 100

1110 - 110 = 1000

11110 - 1110 = 10000

this means, the difference between consecutive terms is not constant.

So, given sequence is not an arithmetic sequence.

Now, we take the ratio between consecutive terms then it would be,

110/10 = 11

1110/110 = 10.09

11110/1110 = 10.009

this means, the ratio between consecutive terms is not constant.

So, given sequence is not a geometric sequence.

Therefore, given sequence us neither arithmetic sequence nor geometric sequence.

Learn more about sequence here:

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Answer:

2 hours and 15 minutes

Step-by-step explanation:

Answer:

2 hours and 15 minutes

Step-by-step explanation:

5:45-3:30 = 2:15

Answer

A

Step-by-step explanation:

Answer:

graph A

Step-by-step explanation:

because i saw the picture its correct its A

The correct graph is D.

An inequality is a relation or a comparison between two numbers or mathematical expressions that are not equal.

Given that, an inequality, y < -3/4 x + 2, we need to graph it,

We will solve the inequality similarly as we solve linear equations,

y = -3/4 x + 2

Put x = 0, y = 2

(0, 2)

Put x = 4, y = -1

(4, -1)

Plot the points on the graph, and join the points to draw a line,

Since, the y is smaller in inequality the shaded portion will be downward the line and the sign of the inequality is < therefore, the line will be dotted.

Hence, the correct graph is D.

Learn more about inequalities, click;

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Answer:

ΔABC and HGF are similar.

Step-by-step explanation:

In the given triangles ABC and HGF,

If both the triangles are similar,

Their corresponding sides will be proportional.

[tex]\frac{AB}{GH}=\frac{BC}{FG}= \frac{AB}{HF}[/tex]

[tex]\frac{72}{12}=\frac{48}{8}= \frac{84}{14}[/tex]

6 = 6 = 6

True.

Therefore, ΔABC and HGF are similar.