Mr. Hammond is the volunteer coordinator for a company that puts on running races. Last year, the company organized 7 short races and 8 long races, which required a total of 804 volunteers. This year, the company organized 11 short races and 5 long races, which required 688 volunteers in total. How many volunteers does each type of race require?

Answers

Answer 1

Answer:

28 short race volunteers

76 long race volunteers

Step-by-step explanation:

Let :

Short races = a

Long races = b

LAST YEAR:

7a + 8b = 804 - - - - (1)

THIS YEAR:

11a + 5b = 688 - - - (2)

Multiply (1) by 5 and (2) by 8

35a + 40b = 4020

88a + 40b = 5504

Subtract

-53a = - 1484

a = 1484 / 53

a = 28

Put a = 28 in equation (1)

7(28) + 8b = 804

196 + 8b = 804

8b = 804 - 196

8b = 608

b = 76

28 short race volunteers

76 long race volunteers


Related Questions

Need help urgently extra points and mark brainlist sorry this is not math it’s reading and is very easy

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Answer:

people who live in a place

Step-by-step explanation:

duh

what is 10x10x10= pls help me

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Answer: 1000

Step-by-step explanation:

Answer:

1,000

Step-by-step explanation:

plz mark brainliest

What is the value of the expression below? (4/5 + 3/5) +35x5
A. 17 7/10
B. 18 9/10
C. 21 3/4
D. 24 1/2​

Answers

Its b because i just guessed

Answer:

D

Step-by-step explanation:

I don´t really understand.

I am so sorry!

WILL GIVE BRAINIEST ANSWER! PLS HELP

The slope of the line below is 1. Write the point-slope equation for the line
using the coordinates of the labeled point.
(5,7)

Answers

Answer:

y-7=(x-5)

Step-by-step explanation:

to understand the solving stepsyou need to know aboutlinear equation i.g point-slope PEMDASgiven:m=1(x1,y1)=(5,7)let's solve:

point-slope form is y-y1=m(x-x1)

so the point-slope equation is

y-7=1(x-5)=y-7=(x-5)

A pair of shoes is on sale for 15% off. With this discount the customer saves 9$ if they buy the shoes. How much did the shoes cost?

Answers

15 = 0.25x
1500 = 25x
60 = x

The original price was $60.
The price will be $60

An after-school program consists of two groups, Section X and Section Y. In order for the program to run,
there must be at least 95 students total. There must be at most 20 less students in Section Y than in Section X.
Write a system of inequalities to model the number of students in each of the two sections. Then solve the
system by graphing

Answers

Answer: D

Step-by-step explanation:

what is 2/3 equivalent to?

Answers

Answer:

4/6

Step-by-step explanation:

.66666667 just divide!

30 POINTS please help if you can.

Answers

Answer:

m∠G = m∠H = 50

m∠I = 80

Step-by-step explanation:

m∠H = m∠G              {Isosceles triangle property}

5x - 5 = 3x + 17               {Subtract 3x from both sides}

5x - 3x - 5 = 17               {Combine like terms}

    2x - 5  =  17                 {Add 5 to both sides}

         2x  = 17 + 5

         2x = 22

           x = 22/2

x = 11

m∠H = 5x - 5

        = 5*11 - 5

         = 55 - 5

m∠H = 50

m∠G = m∠H = 50

m∠G + m∠H + m∠I = 180   {Angle sum property}

50 + 50 + m∠I = 180

     100 + m∠I   = 180

               m∠I  = 180 - 100

              m∠I = 80

Answer:

m∠G = m∠H = 50

m∠I = 80

Step-by-step explanation:

find the mean of x,+2,3x,-4,3x+2 and 2x​

Answers

Answer:

it is -1

Step-by-step explanation:

2= 410x+14⇒4x+8=10x+14   ⇒6x=−6    ⇒x=−1  

find the total surface area of this cone, leaving your answer in terms of pi​

Answers

Answer:

I need numbers to do a step by step

but the formula for the surface area of a cone.

Firstly, you work out the circle, pi x radius squared.

then you work out the cone

You can now use the measurement of the side to find the area of the cone. The formula for the area of a cone is 3.14 times the radius times the side (πrl).

So the surface area of the cone equals the area of the circle plus the area of the cone and the final formula is given by:

SA = πr2 + πrl

Elena’s bowling league tracks the number of strikes that each player on her team gets. It also tracks the number of games bowled. The table shows the results. Name Games Strikes Elena 10 7 Jenna 7 8 Freya 3 6 Ginny 6 12 Carol 13 15 Katie 9 18 The graph shows the relationship between each player’s games and strikes. Determine which team members have the same ratio of games to strikes, and select their corresponding points on the graph.

Answers

Answer:

Step-by-step explanation:

It's asking for those who have the same amount of strikes to the amount of games. For example Jenna gas played 7 games, and Elena has gotten 7 strikes. Their asking how many members have gotten the same amount of strikes to the amount of games they've played.

This should be a big help.

Question 8 of 10
According to the graph, what is the value of the constant in the equation
below?
25
(3,25)
Constant
Height =
Width
20 +
15
6 (5, 15)
Height
10
(15,5)
5
(25, 3)
ON
10
15
20
25
Width

Answers

Answer:

You need to take a screenshot of it becasue that doesnt make any snese

Step-by-step explanation:

jamal and kim used different ways to solve 12 x 15 by using partial products. whose answer makes sense? whose answer is nonsense? explain your reasoning

Answers

Kim I think is the on that is “nonsense”

Help a girl out due in two mins

Answers

the answer is 36


if you need an explanation let me know but i’m answering quickly because it’s due soon,, have a good day !! :))

Answer:

The answer is 36

Step-by-step explanation:

so the "sum" means to add all of the terms: 1^3+2^3+3^3

1^3 is simply 1

2^3 means 8

3^3 means 27

so, from there, you just add all of those terms: 1 + 8 + 27 = 36

What is 15÷1/9= __________

Answers

Answer:

THE ANSWER IS 135!!!

Step-by-step explanation:

Pretend 15 is 15/1. Then use cross multiplication to divide the two fractions.

15/1 divided by 1/9 = 15/1 * 9/1 = 15 *9 = 135

Find the percent increase from 200 to 500​

Answers

Answer:

The answer is a 150% increase!

Step-by-step explanation:

150%

200+200(100%) +100(50%)

Sofia is investing $8,000 in an account paying 5.5% interest compounded quarterly. What will Sofia's account balance be in 7 years?

Answers

Sofia's account balance in 7 years will be $11,726.12

Compound Interest

From the question, we are to determine Sofia's account balance in 7 years

Using the compound interest formula,

[tex]A = P(1+ \frac{r}{n} )^{nt}[/tex]

Where A is the amount

P is the principal

r is the rate

n is the number of times compounded

and t is the time in years

From the given information,

P = $8,000

r = 5.5% = 0.055

n = 4

t = 7

Putting the parameters into the equation, we get

[tex]A = 8000(1+ \frac{0.055}{4} )^{4\times 7}[/tex]

[tex]A = 8000 ( 1+ 0.01375)^{28}[/tex]

[tex]A = 8000 ( 1.01375)^{28}[/tex]

A = $11,726.12

Hence, Sofia's account balance in 7 years will be $11,726.12

Learn more on Compound interest here: https://brainly.com/question/24924853

#SPJ1

1 3/7 ÷ 1/14 need help with this

Answers

it’s 20 :) hope this helps

Answer:

20

Step-by-step explanation:

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

10/7÷1/14

Applying the fractions formula for division,

=10×14/ 7×1

=140/7

Simplifying 140/7, the answer is

=20

Hope this helps! Please consider marking brainliest! I hope you have an amazing day. Always remember, your smart and you got this! -Alycia :)

HELPP PLEASE AND GET POINTS

Answers

Answer:

112

Step-by-step explanation:

cause if you calculated it it will be 112.2222 so the closest thing is 112

please help 15 points

Answers

x(1)= -3 and x(2)= 3
The expression is not factorable with rational numbers.
x
2
+
x

9

someone PLEASE PLEASE HELP. WILL MARK BRAINIEST!!!!!

Answers

First cross multiply by doing

2(3x+2)=4(x+4)

Then distribute to remove the parentheses, which would equal:

6x + 4 = 4x + 16

Then move constants on one side, variables on the other:

6x - 4x = 16 - 4

Then collect like terms:

2x = 12

Then divide both sides which will get you:

x = 6

HELP! Click on the png if your willing to save me from eternal pain!

Answers

Answer:

The correct answer is 2.75

Step-by-step explanation:

I hope I saved you from internal pain! (∩^o^)⊃━☆(ノ◕ヮ◕)ノ*:・゚✧✪ ω ✪

The correct awnser is b I think

1/5 times 3/5 give answer in simplest form

Answers

1/5 x 3/5 = 3/25

Multiply the numerators and the denominators.
1 x 3 = 3
5 x 5 = 25

3/25 is in its simplest form.

1. What is 1.25 into a fraction? 2. What is 2.5 into a fraction?

Answers

Answer:

1.25 in a fraction= 5/4

2.5 in a fraction= 5/2

Step-by-step explanation:

i used a calculator

A plant farm sells bundles of rose bushes. Each bundle contains 150 rose bushes and has the same ratio of hybrid tea roses, climbing roses, tree roses, and miniature roses. A landscaper purchased i bundle of rose bushes and found the bundle contained 9 climbing roses. He buys a second bundle of rose bushes for a large planting job he needs to complete, bringing his total to 300 rose bushes. How many of the roses being planted will NOT be climbing roses?

A. 282
B. 318
C.18
D. Not here​

Answers

Answer:

since all bundles contain the same amount of each type of rose, and one bundle has 9 climbing roses. two bundles will have 18 climbing roses. the question wants to know how many roses out of the two bundles won't be climbing roses. so you need to do: 300 - 18 = 282

the answer is A

Step-by-step explanation:

i hope this helps :))

Answer: 282

HOPE THIS HELPS

Directions: Find the Surface Area

Answers

Answer:

Surface area = 92 ft²

Step-by-step explanation:

Formula to find the surface area of a rectangular prism is,

Surface area = 2(lb + bh + hl)

Here, l = length of the prism

b = width of the prism

h = height of the prism

By substituting the measures of the sides given in the picture,

Surface area = 2(2×3 + 3×8 + 8×2)

                      = 2(6 + 24 + 16)

                      = 2(46)

                      = 92 square feet

Therefore, surface area of the given rectangular prism is 92 ft².

ILL MARK BRAINLIST , pls help

Answers

Answer:

x^2+12x+36=1+36

Step-by-step explanation:

you divide the 12 by 2 which is 6 and then square it (36)

Answer:

x^2+12x+36=1+36

Use the Distributive Property to simplify the expression. 7(8 + y)

Answers

Answer:

56+7y

Step-by-step explanation:

7*8 = 56

7*y = 7y

56 + 7y

Answer:

[tex]\huge\boxed{\bold{56+7y}}[/tex]

Step-by-step explanation:

Hi there!

Let's simplify this expression using the Distributive Property.

The Distributive Property states that

[tex]\bold{a(b+c)=ab+ac}[/tex]

Now, let's use this property to solve our math problem:

[tex]\bold{7(8+y)}[/tex]

[tex]\bold{7*8+7*y}[/tex]

[tex]\bold{56+7y}[/tex]

Hope it helps! Enjoy your day!

~Just a teenage girl willing to help

[tex]\bold{Besties4Ever:-):-):-)}[/tex]

An angle measures 80° less than the measure of its complementary angle. What is the measure of each angle

Answers

Answer:

let the angle be x and the complementary angle be y

so, x+y=90 and given,

x=y-80

solving both the equations,

x = 5

y = 85

so the angles are 5 and 85

Click the parts of the grid to shade 20% of the whole grid.

Am I supposed to shade in the whole grid if not please tell me how much to shade

Answers

Answer:u fill in 4 tiles

It’s a 4x5 square so there is 20 tiles

And 20 divided by 4 equals 5

So if u fill in 4 tiles it’s like filling in 1/5 aka 20%

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