The 42 students on the conservation trip picked up trash at the beach. The girls picked up 15 pounds each and the boys picked up 12 pounds each for a total of 576 pounds. Use b and g for each of the equations.

Answers

Answer 1

Answer: number of boys = 18

Number of girls = 24

Step-by-step explanation:

Based on the information given, we can form this into an equation which will be:

b + g = 42 ....... i

12b + 15g = 576 ...... ii

Multiply equation i by 12

Multiply equation ii by 1

12b + 12g = 504 ....... iii

12b + 15g = 576 ........ iv

Subtract iii from iv

3g = 72

g = 72/3

g = 24

Since b + g = 42

b + 24 = 42

b = 42 - 24.

b = 18

Therefore, number of boys = 18

Number of girls = 24


Related Questions

Baking flour mixture was made by combining 4 ounces of bleached flour which costs $8 per
ounce with 16 ounces of unbleached flour which costs $3 per ounce. What is the cost per ounce
of the mixture?

Answers

4 ounces x $8 per ounce = $32

16 ounces x $3 per ounce = $48

4 ounces + 16 ounces = 20 total ounces

$32 + $48 = $80 total cost

$80 / 20 ounces = $4 per ounce cost

What is the value of x in the equation -6 + x = -1?
-5
-7
7
5

Answers

D) 5

Mark if correct!

Answer:

x = 5

Step-by-step explanation:

... -6+5 = 1

..... you can draw a number line and move ( -6) 5 units to the right and you'll get (-1).

HI GUYS!! PLS HEL PME I NEED HELP, here is the question


There are 8 big fish for every___
small fish.
There are 4 big fish for every___
small fish.

The image is attached any way pls someone i beg u help me.

Answers

Answer and Step-by-step explanation:

We have to use the image to help us answer this question.

We see that there are 8 big fish in the tank, and 10 small fish in the tank.

So, for the first part, it would be:

There are 8 big fish for every 10 small fish.

For when there are 4 big fish, we need to divide 10 by 2, since 8 divided by 2 is 4.

10 ÷ 2 = 5

So,

There are 4 big fish for every 5 small fish.

I hope this helps!!

#teamtrees #PAW (Plant And Water)

What is the geometric mean of 18 and 49

Answers

Step-by-step explanation:

Geometric mean =√18×49√88229.69

hope it helps.

Answer:

Below

Step-by-step explanation:

√(18*49)

= √882

= 29.70 to nearest hundredth.

1. Find the volume of a cone with the height of 14 cm and a diameter of 7 cm

Answers

179.59 should be the answer

Help is really appreciated :)

Answers

Answer: See Below

Step-by-step explanation: See the pictures below

Study the function below and then answer the questions that follow. Equation What is the domain of f(x)? What is the range of f(x)?

Answers

Answer:

(a) Domain: All real numbers except -2

(b) [tex]f(x) > -4[/tex]

Step-by-step explanation:

Given

See attachment for f(x)

Solving (a): The domain

From the attached image, we have:

[tex]f(x) = -x - 2, x <-2[/tex]

[tex]f(x) = -x^2, -2 < x < 0[/tex]

[tex]f(x) = x, x \ge 0[/tex]

To get the domain, we consider the inequalities attached to each of the piece-wise function

[tex]x < -2[/tex]

This implies that the values of x is less than -2 i.e.

[tex]x = \{.......,-4,-3\}[/tex]

[tex]-2< x<0[/tex]

This implies that x is greater than -2 and less than 0 i.e.

[tex]x = \{-1\}[/tex]

[tex]x \ge 0[/tex]

This implies that x is greater than or equal to 0 i.e.

[tex]x =\{0,1,2,3,....\}[/tex]

If these values of x are merged, we have:

[tex]x = \{.......,-4,-3,-1,0,1,2,3.....\}[/tex]

[tex]x = \{-\infty,..,-4,-3,-1,0,1,2,3,...,\infty\}[/tex]

-2 is not included in the above values of x.

Solving (b): The range

From the attached image, we have:

[tex]f(x) = -x - 2, x <-2[/tex]

[tex]f(x) = -x^2, -2 < x < 0[/tex]

[tex]f(x) = x, x \ge 0[/tex]

Substitute the greatest value of x in each piece-wise function.

[tex]f(x) = -x - 2, x <-2[/tex]

[tex]x=-2[/tex]

So;

[tex]f(-2) = -2-2 = -4[/tex]

[tex]f(x) = -x^2, -2 < x < 0[/tex]

[tex]x = -2[/tex]

So:

[tex]f(-2) = -2^2 = -4[/tex]

[tex]f(x) = x, x \ge 0[/tex]

[tex]x = \infty[/tex]

So;

[tex]f(\infty) = \infty[/tex]

We have:

[tex]f(-2) =-4[/tex]

[tex]f(-2) =-4[/tex]

[tex]f(\infty) = \infty[/tex]

The smallest value of f(x) is -4

Hence, the range is:

[tex]f(x) > -4[/tex]

Answer:

Domain is

B)

(-infinity, -2) U (-2, infinity)

Range is (-4, infinity)

Step-by-step explanation:

go it correct

edge2022

please answer question 5 on the picture tysm xx

Answers

I think it's easier to not factor it, so we will be using formulas.

-b/2a=x

6/2=3=x

y=-25

(3,-25)

A plane is slicing the cuboid parallel to its base. Name the shape of cross section which is slicing the cuboid.PLEASE RESPOND FAST!!!!

Answers

Square duh easy like

Answer: its Square but the top one is rectangle


Write the new equation if the graph of f (x) = –2x2 + 5 is translated down 10
units. (Include f(x) in your answer)
HELPPP
PLEASE NO LINKS JUST WRITE OUT THE ANSWER

Answers

Answer:

how would i know the answer

Step-by-step explanation:

A number multiplied by 7 is less than 21. Which of the following expressions correctly identifies this sentence?

Answers

Answer:

Step-by-step explanation:

What’s the growth factor of f(x)=500(1+.12)^x

Answers

Answer:

Step-by-step explanation:

The growth factor is (1 + 0.12), which is the same as 1.12.  

Do the following side lengths form a triangle?
2 inches, 3 inches, 4 inches

Answers

Answer:

Yes, it makes a triangle.

Step-by-step explanation:

When I used a measuring stick, it does create a triangle.  

It makis a right triangle

Please help ASAP (pic) will give brainilest

Answers

Answer:

493,864$

Step-by-step explanation:

17,638x28$

do you need a pic (to show my work) or are you talking about your pic

what is 10 +10+10+10 +20'

Answers

Answer:

60

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

help I don't understand​

Answers

Answer:

Sequence: Reflection over the y-axis, then 1 to the right and 2 down to get the triangle ABC to A'B'C.

Step-by-step explanation:

Have a nice day!

so if squared by 2 means times the number by itself. would 2 squared of 60 be 120?​

Answers

Answer:

3,600

Explanation:
60^2 means 60*60
60*60 = 3,600

what is 8 1/3x6 3/4=

Answers

Answer:

I think it is 56.25 not sure but try it

Answer:

56.25 or 56[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

                       [tex]\frac{25}{3}[/tex] × [tex]\frac{27}{4}[/tex]

Applying the fractions formula for multiplication,

                       [tex]\frac{25}{3}[/tex] × [tex]\frac{27}{4}[/tex]

                          [tex]\frac{675}{12}[/tex]

Simplifying 675/12, the answer is

                         56[tex]\frac{1}{4}[/tex]

*EXTRA PTS* pls answer all 3 :)

Answers

Answer:

5, x = 0,  y = -2

6, x = 4,  Y = 9

7,  X = -2, Y = -2

Step-by-step explanation:

Jordan and 4 of his friends are are riding in a car. What is the probability that Jordan is in the front passenger seat?

Answers

Answer:

0.20 or 20%

Step-by-step explanation:

We already know that (assuming we aren't counting a car that has seats in the truck area) there are five possible spots to sit in: the driver's seat, the front passenger (famously known as "shotgun"), middle/back left passenger, middle/back right passenger, and middle/back middle passenger.

By dividing 1 from 5 (1/5) you get a 20% chance of sitting in shotgun.

So, not that high, but its better than nothing.

Hope this helped!

Source(s) used: G*ogle Calculator

Answer:

20%

Step-by-step explanation:

CAN SOMEONE HELP ME PLS

Answers

Answer:

0.5 < x < 16.5

Step-by-step explanation:

8.5 - 8.0 < x < 8.5 + 8.0 =

0.5 < x < 16.5

Hope that helps! :)

-Aphrodite

Simplify the expression.
Please I need help
Thank you

Answers

You cant simplify further than that. Look at the file attached to this.

EDIT:

If that was wrong, try,

= -8x

Which side lengths could form a triangle? Check all that apply.

A) 20,6,15
B) 8,8,17
C) 2,11,12
D) 19,34,15

Answers

Answer:

A, C, D

Step-by-step explanation:

One rule of thumb is just add up two sides and if its greater than the third value that side works. (make sure to test it for all of the sides though)

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
9x + 3y = -6

Answers

Answer : y= -3x-2 Hope this helped!
y=-3x-2
hope this is helpful :)

what is the measure of angle PQS in the figure below?
A. 36
B. 60
C. 72
D. 108

Answers

Answer:

C

Step-by-step explanation:

PQS is an Acute angle so it's obviously C because it's the closest angle.

Write an equation in standard form for a line that is perpendicular to the line with an equation of y = 3x —5 that passes through the point (8, 5).

Answers

Answer:

x + 3y = 23

Step-by-step explanation:

m = -1/3, find 'b'

5 = -1/3(8) + b

15/3 = -8/3 + b

23/3 = b

y = -1/3x + 23/3

multiply each side by 3 to get:

3y = -x + 23

x + 3y = 23

Question 1 (1 point)
Find the volume of the figure below. Round your answer to the nearest hundredth if necessary.
8 yd
7yd
11 yd
11 yd
7 yd
616 yd

481 yd
688 yd
Od
828 yd

Answers

Answer:

616 yd³

Step-by-step explanation:

Volume = base × height

The volume of the prism

= (7×8) ×11

= 616 yd³

Each morning papa notes the birds feeding on his birdfeeder. So far this month he has seen 59 blue jays, 68 black crows, 12 red robins and 1 cardinal

what is the probability of a blue jaybeing the next bird papa sees?

A. 0.421
B 0.59
C. 0.059
D. 0.042

Answers

I think it would be A pls mark brainliest

Can someone Help please

Answers

Answer:

Answer:17 (I think)

Because if you look at the problem below Y u can see the patter 5+3=8 8+3=11 contiously adding 3 you get 17

Y is equal to 18. If you take a close look it can be seen that it is going in a sequence by 3.

Members of a school sports team are raising money by selling custom water bottles at school activities. They plan to sell each bottle for $13. Each bottle costs them $6. They spend $40 for advertising. Use n to represent the number of bottles they sell. Multiply this by the money they make for each bottle, then subtract the advertising cost. Which expression represents the money that the group raises? O A. 40 - (13 - 6)n O B. (13 - 6) n - 40 O C. 13n - 6 - 40 D. 13-on-40​

Answers

Answer:

B. (13 - 6)n - 40

Step-by-step explanation:

If each bottle costs them $6 and they are selling each one for $13, the amount of money they make for each bottle can be represented by (13 - 6)n

This is because this finds the profit per bottle, then multiplies it by n, which is the number of bottles they sell.

Then, since they spent $40 on advertising, subtract 40 from this.

The expression will be (13 - 6)n - 40.

The correct answer is B. (13 - 6)n - 40

The expression represents the money that the group raises is  (13-6)n  - 40

What is expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

According to the question

Members of a school sports team are raising money by selling custom water bottles at school activities.

Let number of bottle they sell = n

Selling price of a bottle = $13

Now ,

Selling price of n bottle =  $13n

Cost price of a bottle =  $6

Now ,

Cost price  of n bottle =  $6n

Money spent on advertising = $40

Total they spent on bottles = $6n +  $40

Therefore,

Money they raise in expression =  13n - 6n - 40

                                                      =  (13-6)n  - 40

Hence, The expression represents the money that the group raises is  (13-6)n  - 40

To know more about expression here:

https://brainly.com/question/14083225

#SPJ3

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