Students at sunnyvale Middle School volunteered to work a 2-hour Shift at a car wash fundraiser. The table shows the number of people who worked Each Shift and how many cars they washed.

is the relationship between the number of cars washed and the number of workers proportional? Complete the sentence​

See attachment for math work and answer.

Answer:

slope of line perpendicular to given equation(m)=2

Step-by-step explanation:

Answer:

No, I haven't taken the isat.

Step-by-step explanation:

Answer:

No, what is it for?

Step-by-step explanation:

Answer:

The baker should add 3.75 gallon of water to 5 gallons of 70 % sugar syrup to make the 40 % syrup.

Step-by-step explanation:

The percentage concentration ([tex]r[/tex]), dimensionless, is determined by the following expression:

[tex]r = \frac{V_{sugar}}{V_{sugar}+V_{water}}[/tex] (1)

Where:

[tex]V_{sugar}[/tex] - Volume of sugar, measured in gallons.

[tex]V_{water}[/tex] - Volume of water, measured in gallons.

A 70 % sugar syrup means that there are 7 parts of sugar for each 10 parts of solution, that is, 7 parts of sugar and 3 parts of water. We need to add more water to dilute the solution to 40 %. Then, the new concentration must be equal to:

[tex]r' = \frac{V_{sugar}}{V_{sugar}+V_{water}+V'}[/tex] (2)

Where [tex]V'[/tex] is the addition of water needed to dilute the solution, measured in gallons.

If we now that [tex]V_{sugar} = 3.5\,gal[/tex], [tex]V_{water} = 1.5\,gal[/tex] and [tex]r' = 0.4[/tex], then the quantity of additional water is:

[tex]\frac{3.5\,gal}{5\,gal+V'} = 0.4[/tex]

[tex]3.5 = 0.4\cdot (5+V')[/tex]

[tex]3.5 = 2+0.4\cdot V'[/tex]

[tex]0.4\cdot V' = 1.5[/tex]

[tex]V' = 3.75\,gal[/tex]

The baker should add 3.75 gallon of water to 5 gallons of 70 % sugar syrup to make the 40 % syrup.

Answer:

3.75 gallons of water should be added

Step-by-step explanation:

Answer:

The answer is 8 The GCF of 24 and 32 is 8

Step-by-step explanation:

Hope this helps

Answer:

the answer is 8

Step-by-step explanation:

Answer:

Slope of a line perpendicular to a line  = [tex]\frac{1}{6}[/tex]

Step-by-step explanation:

(x₁ , y₁ ) = (3 , -5)      & (x₂, y₂) = (1 , 7)

[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

        [tex]= \frac{7-[-5]}{1-3}\\\\=\frac{7+5}{1-3}\\\\=\frac{12}{-2}\\\\= - 6[/tex]

Slope of the perpendicular line = [tex]\frac{-1}{m}[/tex]

                                                    [tex]= \frac{-1}{-6}\\\\= \frac{1}{6}[/tex]

Answer:

$2.60

Step-by-step explanation:

6.5/100 x 40 = 0.065 x 40 = 2.6

= $2.60

Answer:

4

Step-by-step explanation:

Answer:

(a) 32         (b) 192

Step-by-step explanation:

Since there are no other measurements i thought that it would be two 16 by 6 rectangles so you would just double the length but  the height would stay the same.

Hope this helps :D

Answer:

23) 36·(3·1/4) = 36·(3/4) = 108/4 = 27

24) (4·2/7)·21 = (8/7)·21 = 168/7 = 24

25) 2(x+4) = 2x+8

26) (5+n)3 = 15+3n

27) (4-3m)8 = 32-24m

28) -3(2x-6) = -6x+18

29) 13r+5r = 18r

30) 3x³-2x²

31) 7m+7-5m = 2m+7

32) 5z²+3z+8z² = 3z+13z²

33) (2-4n)17 = 34-68n

34) 11(4d+6) = 44d+66

35) 7m+2m+5p+4m = 13m+5p

36) 3x+7(3x+4) = 3x+21x+28 = 24x+28

37) 4(fg+3g)+5g = 4fg+12g+5g = 4fg+17g

38) (5m)²+(m+5)²= 26m²+10m+25

39) 7(a²+b)-4(a²+b) = 3(a²+b) = 3a²+b

Answer:

141 = 145    184-188

Step-by-step explanation:

to find the pattern you would have to see what each of them have in common

All of them 4 was added to the answer

I subtracted both numbers and got 4 then i decided to add 4 to get the other to get the pattern

Answer:

23°

Step-by-step explanation:

mABD is just the angle of B

9x-22 = 6x -7

3x -22 = -7

3x = 15

x = 5

9(5) -22

45-22

23

Answer:

f(n) = 1

Step-by-step explanation:

Another answer for -3. FxN= -3

Answer:

You sold 61 news papers.

Step-by-step explanation:

If each paper is $0.50, you multiply it by 61, you will get $30.50

Answer:

Step-by-step explanation:

$0.50 for every newspaper sooo.... 50cts + 50 cts is $1.00

50 .....1.00.....1.50.....2.00....2.50...3.00...3.50...4.00...4.50...5.00...5.50...6.00..

you know where i'm going with this... count by 50s and write them down and then count. it may be a lot but the grades matter. good luck.

Answer:

3. 55

6. 16m

8. 7m + 10

Step-by-step explanation:

Thats all i could do im not that smart

Answer:

25

Step-by-step explanation:

5²=25

Answer:

25

Step-by-step explanation:

it is like 5 times 5

The expression 51b-24 has a value of 180 when b = 4. Therefore, option D is correct.

We need to select all the expressions that have a value of 180 when b = 4.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Now, substitute b=4 in option A.

That is 87b−179+957÷87=87×4−179+957÷87=12.94.

Substitute b=4 in option B.

33b12=33×4×12=1584

Substitute b=4 in option C.

b²+120=4²+120=136

Substitute b=4 in option D.

51b-24=51×4-24=204-24=180

Substitute b=4 in option E.

11b+187−2,756÷13=11×4+187−2,756÷13=-194.23

Therefore, the expression 51b-24 has a value of 180 when b = 4.

To learn more about the expression visit:

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Answer:

a times 12=300

Step-by-step explanation:

donated each month a should be 25. $25 times 12 equals 300

Answer:

C.  

a × 12 = 300

Step-by-step explanation:

Answer: The actual pool is 44 m long.

Step-by-step explanation:

Given : The scale used for drawing :

9 mm: 4 m

i.e. for each 1 mm of drawing we have [tex]\dfrac{4}{9}\ \text{m}[/tex] of actual pool.

If the pool is 909 m long , then the actual pool will be [tex]\dfrac49\times99= 4\times11=44\text{ m long.}[/tex]

hence, the actual pool is 44 m long.

Answer:

Step-by-step explanation:

3). m∠1 = 180° - 98° = 82°

m∠7 = 180° - ( 98° + 23° ) = 59°

m∠6 = 180° - ( 70° + 59° ) = 51°

m∠9 = m∠6 = 51°

m∠10 = 180° - 51° = 129°

m∠4 = 180° - ( 70° + 51° ) = 59°

m∠54 = 180° - (23° + 59° ) = 98°

4). m∠1 = m∠4 = m∠11 = m∠13 = 90° - 54° = 36°

m∠2 = m∠5 = 90°

m∠6 = m∠3 = m∠8 = m∠10 = 54°

m∠7 = m∠9 = 90° + 36° = 126°

m∠12 = m∠14 = 180° - 36° = 144°

The measure of an an angle can be found from other known angles and the angular relationships present

The measures of the angles are;

3. a. m∠1 = 82°,    [tex]{}[/tex]     b. m∠4 = 59°,        c. m∠5 = 98°,      d. m∠6 = 51°,            e. m∠7 = 59°,        [tex]{}[/tex]      f. m∠9 = 51°

4. a. m∠1 = 36°,    [tex]{}[/tex]   b. m∠2 = 90°,       c. m∠4 = 36°,          d. m∠5 = 90°,                      e. m∠6 = 54°,       [tex]{}[/tex]    f. m∠7 = 126°,       g. m∠8 = 54°,         h. m∠9 = 126°,          i. m∠10 = 54°,         [tex]{}[/tex]  j. m∠11 = 36°,         k. m∠12 = 144°,      l. m∠13 = 36°,         m. m∠14 = 144°

The reason the above values are correct are as follows;

The known parameters are;

m∠2 = 98°

m∠3 = 23°

m∠8 = 70°

a. m∠1 and m∠2 are linear pair angles

Therefore;

m∠1 + m∠2 = 180°

m∠1  + 98° = 180°

m∠1 = 180° - 98° = 82°

m∠1 = 82°

b. m∠4 = m∠7 = 180° - m∠2 - m∠3

∴ m∠4 = 180° - 98° - 23° = 59°

m∠4 = 59°

c. m∠5 = 180° - m∠3 - m∠4 (sum of angles on a line)

∴ m∠5 = 180° - 23° - 59° = 98°

m∠5 = 98°

Also m∠2 = m∠5 (corresponding angles)

d. m∠6 = 180 - m∠7 - m∠8 (sum of angles on a line)

∴ m∠6 = 180° - 59° - 70° = 51°

m∠6 = 51°

e. m∠7 = m∠4 = 59° (alternate interior angles theorem)

f. m∠9 = 180 - m∠4 - m∠8 (angles sum property of a triangle)

∴ m∠9 = 180° - 59° - 70° = 51°

m∠9 = 51°

Also, m∠9 = m∠6 = 51° (corresponding angles)

4. m∠3 = 54° (given)

a. m∠1 = 180° - 90° - 54° = 36° (sum of angles on a line)

m∠1 = 36°

b. m∠2 = 90° (given, geometry symbol)

c. m∠4 = m∠1 = 36° (vertical angles)

m∠4 = 36°

d. m∠5 = m∠2 = 90° (vertical angles)

m∠5 = 90°

e. m∠6 = m∠3 = 54° (vertical angles)

m∠6 = 54°

f. m∠7 = m∠1 + m∠2 (corresponding angles, angle addition)

m∠7 = 36° + 90° = 126°

m∠7 = 126°

g. m∠8 = 180° - m∠7 (linear pair)

m∠8 = 180° - 126° = 54°

m∠8 = 54°

h. m∠9 = m∠7 = 126° (vertical angles)

m∠9 = 126°

i. m∠10 = m∠8 = 54° (vertical angles)

m∠10 = 54°

j. m∠11 = 180° - m∠5 - m∠8 (angles sum property of a triangle)

m∠11 = 180° - 90° - 54° = 36°

m∠11 = 36°

k. m∠12 = 180° - m∠11 (linear pair)

m∠12 = 180° - 36° = 144°

m∠12 = 144°

l. m∠13 = m∠11 = 36° (vertical angles)

m∠13 = 36°

m. m∠14 = m∠12 = 144° (vertical angles)

m∠14 = 144°

Learn more about angles formed between two parallel lines having a common transversal here:

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Answer:

Step-by-step explanation:

As we know that

In other words,

so from the diagram,

so

[tex]11x+5\:=\:30+\:\left(-5+7x\right)[/tex]

[tex]11x+5=30-5+7x[/tex]

[tex]11x=7x+20[/tex]

subtract 7 from both sides

[tex]11x-7x=7x+20-7x[/tex]

[tex]4x=20[/tex]

Divide both sides by 4

[tex]\frac{4x}{4}=\frac{20}{4}[/tex]

[tex]x=5[/tex]

Therefore, x = 5

Answer:

B

Step-by-step explanation:

because he earns more, he will have to pay more tax. however since he spends less, he will pay less sales tax.

The statement that best describes the tax situation with this new job is;

Option B; He will pay more in income tax but less in sales tax.

Let us look at the options;

Read more at; https://brainly.com/question/19501172

Answer:

Answer:  He has $20 left to spend.

Step-by-step explanation:

Your welcome.

3x - 8

bdjwysksuxvsjahajhx

Answer:

Simplified is 3x - 8

Step-by-step explanation:

First, put the like terms together, so rearrange that equation to 12x - 9x - 15 + 7. Then from there you subtract 9x from 12x which is 2x and add 7 to negative 15, which is -8.

Answer: heyo my friend, missed ya <3

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

9x^2-25=0

x= 5/3 and -5/3

By solving quadratic equation [tex]9x^2-25=0[/tex] we got solution set as [tex]\{\frac{-5}{4}, \frac{5}{4} \}[/tex]

Any equation that can be written in form as [tex]ax^{2}+bx+c=0[/tex]  , where x is variable and a, b and c are any real numbers and  a ≠ 0 is called quadratic equation .

given quadratic equation :

[tex]9x^2-25=0\\\\[/tex]

Adding 25 both sides

[tex]9x^2-25+25=0+25\\\\\Rightarrow 9x^2=25[/tex]

Dividing by 9 on both sides

[tex]\frac{9x^2}{9}=\frac{25}{9}\\\\x^2= \frac{25}{9}[/tex]

Taking square root both sides

[tex]x= \pm \sqrt(\frac{25}{9})[/tex]

[tex]x= \pm \frac{5}{4}[/tex]

[tex]x= \{\frac{-5}{4}, \frac{5}{4} \}[/tex]

By solving quadratic equation [tex]9x^2-25=0[/tex] we got solution set as [tex]\{\frac{-5}{4}, \frac{5}{4} \}[/tex]

To learn more about quadratic equation visit :https://brainly.com/question/1214333

Answer: b. Reflection over the y axis.

Step-by-step explanation: The vertical line is the y axis, and the triangle is flipped over it.

Answer:

1433.09

Step-by-step explanation:

4,000,000 divided by 64 = 62,500

62,500 divided by 42 1,433.09

He makes 1433.09 per minute