a company spent 36% of its annual budget developing a new bicycle. What fraction of the company's budget was spent on developing the new bicycle?

24 Students

If 1/8 of the total is 3, then the total is 3 multiplied by 8 = 24

        Another way:

1/8= 12.5%

 12..5%_____3

     100%_____x

Cross multiplication

12.5x =3x100(300)

X=24

   12.5% of 24 = 3

There are 24 students in Ted's class.

Given that;

In Ted's class, students were asked to name their favourite sport.

And, Football was the response of 1/8 of them.

Let's assume the total number of students in the class is represented by "x".

According to the information given, 1/8 of the class said football, which means (1/8) × x students named football.

We also know that 3 students said football.

So, we can set up the equation:

(1/8) × x = 3

To solve for x, we can multiply both sides of the equation by 8:

x = 3 × 8

x = 24

Therefore, there are 24 students in Ted's class.

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8:12 is 2/3 and so is 16:24, 2:3, and 20:30

Step-by-step explanation:

For example (includes simplified problem solving),

8 ÷ 4 = 2

12 ÷ 4 =3

You would want to divide the numerator and denominator by the greatest common factor (GCF)

The ratio 8:12 can be reduced to its lowest terms by dividing both terms by the GCF

Therefore 8:12 is 2:3

Answer: C = $37.5

Step-by-step explanation:

Given information

Price of one ticket = $8.50

Convenience fee = $3.50

Number of tickets = 4

Given expression

C = 8.50t + 3.50

Substitute the value of the ticket into the expression

C = 8.50 (4) + 3.50

Simplify by multiplication

C = 34 + 3.5

Simplify by addition

C = $37.5

Hope this helps!! :)

Please let me know if you have any questions

Answer:

the answer is 1

Step-by-step explanation:

because I said so

Answer:

0.000036 i think it the answer

Answer:

It's the second graph, I circled it in blue

E

Step-by-step explanation:

cause it the best estimate of a value of an unknown parameter and E describes it best

Answer:

[tex]thank \: you[/tex]

Answer: x = 11

Step-by-step explanation:

Given

4 (x - 1) = 2 (x + 9)

Expand parentheses and apply the distributive property

4x - 4 = 2x + 18

Subtract 2x on both sides

4x - 4 - 2x = 2x + 18 - 2x

2x - 4 = 18

Add 4 on both sides

2x - 4 + 4 = 18 + 4

2x = 22

Divide 2 on both sides

2x / 2 = 22 / 2

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Ms. Martinez =  Tom received $115, $75 to mulch the yard and $40 for a yard cleanup.

Step-by-step explanation:

Tom made $405 for the week from his three clients

Mr. Hansen paid Tom $125

Mrs. Johnson paid Tom $165

405-165-125=115

Ms. Martinez paid Tom $115, which meant that he would have cleaned the yard ($40) and mulch the yard ($75)

The unit amount and time for each service offered by Tom can be represented as equations. The conclusion from the given parameters are:

Given that:

Cost

[tex]\$40 \to[/tex] Yard cleanup

[tex]\$50 \to[/tex] Mowing a lawn

[tex]\$75 \to[/tex] Mulching a yard

Time

[tex]2\ hrs \to[/tex] Yard cleanup

[tex]40\ mins \to[/tex] Mow a lawn

[tex]2\ hrs \to[/tex] Mulching a yard

[tex]Total\ Earnings = \$405[/tex]

From the question, we understand that:

[tex]Mr.\ Hansen = \$125[/tex]

Recall that:

[tex]\$50 \to[/tex] Mowing a lawn

[tex]\$75 \to[/tex] Mulching a yard

Add up:

[tex]\$50 + \$75 = 125[/tex]

This means that Mr. Hansen paid $125 to mow a lawn and to mulch a yard.

[tex]Mrs.\ Johnson= \$165[/tex]

Recall that:

[tex]\$40 \to[/tex] Yard cleanup

[tex]\$50 \to[/tex] Mowing a lawn

[tex]\$75 \to[/tex] Mulching a yard

Add up:

[tex]\$40 + \$50 + \$75 =\$165[/tex]

This means that Mrs. Johnson paid $165 for the three services

The amount paid by Ms. Martinez is calculated as follows:

[tex]Mr.\ Hansen + Mrs.\ Johnson + Ms.\ Martinez = Total\ Earnings[/tex]

Substitute known values

[tex]\$125 + \$165 + Ms.\ Martinez = \$405[/tex]

[tex]\$290 + Ms.\ Martinez = \$405[/tex]

Collect like terms

[tex]Ms.\ Martinez = \$405 - \$290[/tex]

[tex]Ms.\ Martinez = \$115[/tex]

This means that Ms. Martinez paid $115

Recall that:

[tex]\$40 \to[/tex] Yard cleanup

[tex]\$75 \to[/tex] Mulching a yard

Add up

[tex]\$40 +\$75 = \$115[/tex]

This means that Ms. Martinez paid $115 for a yard cleanup and to mulch a yard.

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Answer:

The full scholarship fund will be 4000

Step-by-step explanation:

When doing these types of problems I like to do this.

1500 ÷ 3 = 500 (We do this because you want to find out what 1/8 is)

Since 500 is 1/8 of the part, all you have to do is multiply 500 by 8

500 × 8 = 4000

Answer:

Step-by-step explanation:

Let the volume of used water is x.

We have:

Correct choice is B

Answer:

Step-by-step explanation:

The probability of breakdown

Concrete mixer is 1/4, dumper 1/6, and hoist 1/8.

1. All machines breakdown.  

1/4 +1/6 + 1/8 = 13/24

2. 2 machines break down

CM and D 1/4 + 1/6 = 5/12

CM and H 3/8

D and H 7/24

Answer:

What is question? surface area of upright part of cylinder is approx 314 sq yd.  Surface area of entire cylinder is approx 471 sq yd, which isn't a choice.

Step-by-step explanation:

Assuming you're looking for surface area of cylinder (since answers are in sq units), you would need to find the area of the top and bottom circles, and the rectangle made by flattening out the upright part of cylinder.

Area of a circle is πr^2 so area of bottom is 25π and of both circles is 50π which equals approx 157.08 sq yd.

The rectangle formed from the upright part would have a width of 10 yds and a length equal to circumference of the circle.  Since C = πd, C is approx 31.4yd.  A = l x w so A = 31.4 x 10 or approx 314 sq yd.

Answer:

x=2 (option B)

Explanation

x²-4=0

x²=4

x=2

Answer:

-1/2

Step-by-step explanation:

(-1/4)/(1/2)=-1/2

Answer:

$54.00

Step-by-step explanation:

area of balcony= length * width

area= 3*9

area= 27 sq.feet

cost of 1 sq.feet=$2.00

cost of 27 sq.feet= $2.00*27

cost of 27 sq.feet= $54.00

9514 1404 393

Answer:

  the graph increases

Step-by-step explanation:

If you read your problem statement, you find it tells you the answer:

  "... point A and then continues to increase through B"

That is, between points A and B, ...

  the graph increases

Answer:

It's option A hope this helps

Answer:

okay

Step-by-step explanation:

a) Since division by zero is undefined, we have that

[tex]13-x\neq0\Leftrightarrow x\neq13[/tex]

In interval notation

[tex]D=( -\infty ,13) \cup ( 13,\infty )[/tex]

b) Since a square root of a negative number is undefined over the Reals, we have that

[tex]9+x\geqslant 0\Leftrightarrow x\geqslant -9[/tex]

In interval notation

[tex]D=[-9,\infty )[/tex]

c)Since division by zero is undefined, we have that

[tex]2x+1\neq 0\Leftrightarrow 2x\neq -1\Leftrightarrow x\neq -\frac{1}{2}[/tex]

In interval notation

[tex]D=\left( -\infty ,-\frac{1}{2}\right) \cup \left( -\frac{1}{2} ,\infty \right)[/tex]

d) Since a square root of a negative number is undefined over the Reals, we have that

[tex]4x-3\geqslant 0\Leftrightarrow 4x\geqslant 3\Leftrightarrow x\geqslant \frac{3}{4}[/tex]

In interval notation

[tex]D=\left[\frac{3}{4} ,\infty \right)[/tex]

Hi

P(C) is first B then C

so P ( B) = 0.4

event C is 0.2 also P( C) = 0.4 x 0.2 = 0.08

Answer:

-3/4

Step-by-step explanation:

slope of given line:

4y=-3x+8

y=-3/4 *x+8

m=-3/4

parallel lines have equal slopes so required slope is -3/4

Answer:

I think it's 56 pounds but I could be wrong

Answer:

The answer is C

Step-by-step explanation:

The line graph shows the line going right so it greater than or >. The circle is not colored in so there is no line under the greater than sign > so answer is C

Answer:

7% of composed of other elements

Step-by-step explanation:

you have to add the percentages you have then fi d the missing amount

Answer:

7%

Step-by-step explanation:

65 + 18 + 10 = 83 + 10 = 93

100- 93 = 7

7%

Answer:

24=40/100×x

Step-by-step explanation:

i think the equation is

24=40/100×x

24 is equal to 40 percent of a number which I have represented by x

I hope this helps

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

Explanation:

Refer to the diagram below. The rectangle MATH has the diagonal MT that cuts the rectangle into two identical right triangles.

We then use the pythagorean theorem to find the length of the hypotenuse MT.

a^2 + b^2 = c^2

10^2 + 24^2 = c^2

100 + 576 = c^2

676 = c^2

c^2 = 676

c = sqrt(676)

c = 26

Segment MT is 26 cm long.

This applies to the other diagonal AH as well.

[tex] \huge \pink{ \underbrace { \overbrace { \ SAS}}}[/tex]

Answer: 62°

Step-by-step explanation:

Total angle in a triangle = 180°

40° + 78° + < N = 180°

118° + <N =180

<N = 180 -118

<N=62°