Kevin led 150 adults, plus 6 student groups. Monica led 134 adults, plus 8 student groups. If each student group had the same number of students, write and solve an equation to show the amount of students in the student groups

Answers

Answer 1

Answer:

Number of students in a student group = 8

Step-by-step explanation:

Let number of student in a student group = x

∴ Kevin lead 150 adults and 6x students

⇒Kevin lead = 150 + 6x

And,

Monica lead 134 adults and 8x students

⇒Monica lead = 134 + 8x

So, the number of students are equal

⇒150 + 6x = 134 + 8x

⇒150 - 134 = 8x - 6x

⇒16 = 2x

⇒x = [tex]\frac{16}{2}[/tex] = 8

∴ we get

Number of students in a student group = 8


Related Questions

If the density of a piece of wood is 0.85 g/cm3, what is the volume if the mass of 24.99 cm3?

Answers

Answer:

to find volume

Step-by-step explanation:

I think so it is like this 24.99/0.85 =29.4

2 + x = 19
what does x equal

Answers

Answer:

x = 17

Step-by-step explanation:

2 + x = 19

Subtract 2 on both sides to isolate the variable

2 - 2 + x = 19 - 2

x = 17

Check

We can check by distributing the "x" with 17 since thats what we got as the value.

2 + x = 19

2 + 17 = 19

19 = 19

CORRECT

Hope this helped!

Have a supercalifragilistix = 17cexpialidocious day!

Answer:

it's 17 I think if I'm not mistaking

Raphael deposited $6,500 in an account that pays 4.25% interest, compounded annually. He left the money in the account for 4 years, without depositing money to it or withdrawing money from it.


At the end of the 4 years, how much interest in dollars and cents did the account earn? help asap

Answers

Answer:

$1105

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4.25%/100 = 0.0425 per year,

then, solving our equation

I = 6500 × 0.0425 × 4 = 1105

I = $ 1,105.00

The simple interest accumulated

on a principal of $ 6,500.00

at a rate of 4.25% per year

for 4 years is $ 1,105.00.

PLease HELLLPPPPP I NEED HELP

Answers

Answer: I don’t know...... sorry

Step-by-step explanation:

The segments shown below could form a triangle.

Answers

Answer:

True. It could. Sorry my answer just has to be 20 characters long

Given that f(x) = x/2 +5,
a) Find f(2)
b) Find f^-1(x)
c) Find f^-1(5)

Answers

Answer:

f(2)=6

f^-1(x)=2x-10

f^-1(5)=0

hope it helps

A box has dimensions 6in x 3in x 7in. What is the volume?

Answers

Answer:

126 in.³

Step-by-step explanation:

Volume of a rectangle/square is length x width x height so you just multiply all the dimensions together.

Hope this helped :)

Simplify each expression by combining like terms 4x+7x=

Answers

Answer:

11x

Step-by-step explanation:

11x (add the like terms)

Give two ways to write the expression as a phrase.

$4w$

Answers

Answer: 4^1 or 4^1w

Step-by-step explanation:

There is 4 and one w therefore, you have 4^1 or, 4^1w

Unit Cost for 500
Which is the better buy? Find each unit cost.
A 12-oz box of Honeycomb cereal for $4.32
Or
Chea
moviex:
COMB
A 16-oz box of Cheerios for $5.92

Answers

Answer : The 12- oz box of Honeycomb cereal for $4.32 is a better buy.


Explanation:

A 12- oz box of Honeycomb cereal for $4.32 has a unit cost of $0.36. A 16-oz box of Cheerios for $5.92 has a unit cost of $0.37. Therefore the 12-oz box of honeycomb cereal is a better buy.

please solve using a2 + b2 = c2
show your work please :)

Answers

Answer:

127.3 feet

Step-by-step explanation:

Using the Pythagorean Theorem, you would start with 90² + 90² = __²

90² = 8,100

8,100 + 8,100 = 16,200

Now you have to square root 16, 200

√16,200 = 127.27922...

Rounded to the nearest tenth is: 127. 3 ft

Multiply (x – 3)(x + 5)

Answers

Answer:

x^2+2x-15 hope it helps

x^2-2x+15

I believe hope this helped !!

It’s a quadrilateral parallelogram. Solve for x

Answers

4 sided shapes have internal angles that MUST add up to 360 degrees, so add all four angles to get 360 (opposite angles are equal) so:
8x + 19 + 8x + 19 + 21x - 13 + 21x - 13 = 360
Collect like terms so
58x + 12 = 360
58x = 348
x = 6

SMART PPL PLEASE HELP ,Explain how you know the expression represents the area of shaded part of the rectangle.

Answers

Answer:

6(m-2)

Step-by-step explanation:

Alright. Let's start by finding the length of this shaded area. The full length of the rectangle is 'm', and the part that is not shaded has a length of '2', so if we subtract the full length and the non-shaded length, we will get the shaded part's length. This is 'm-2'. The width/height we already know...it is 6, so-

Answer is: 6(m-2)

Answer:

6(m-2)

Step-by-step explanation:

it is 6(m-2) because you would do the whole length of m minus 2.

Write 7% as a fraction or mixed number in simplest from

Answers

Answer: Percent" or "%" means "out of 100" or "per 100", Therefore 7% can be written as 7100 . Because 7 is a prime number and cannot be factored this is the simplest form.

Step-by-step explanation:

Cristal had $157 in her checking account. She then made a deposit of $160. Find her new account balance.

Answers

Answer:

$317

deposit: add

157+160= 317

Which expression is equivalent to this expression? (41-6) 4​

Answers

Answer:

35x4

Step-by-step explanation:

do the equation in the parenthesis to simplify it

As a mixed number in its simplest form :)

4 1/2 ÷ 3/5

Answers

Answer:7.5

Step-by-step explanation:

Answer:

7 1/2

Step-by-step explanation:

What is the area of a circle with a radius of 13 feet?​

Answers

Answer:

530.93ft²

Step-by-step explanation:

you invest 10000 that will earn 8.3% every year how much will you earn in 12 years.

Answers

Answer:

$16034.03

Step-by-step explanation:

I'm going to assume it's compound interest

10000(1+.083)^12

26034.03

subtract the original amount to find out how much was earned

26034.03-10000=16034.03

Answer:

$9960 would be earning in 12 years

Step-by-step explanation:

8.3% of 10,000 is 830

1% of 10,000 is 100

.3 would just be 30

.4 would be 40

etc etc

so 830 times 12(years) is $9960.00

HELPPP PLEASE
a recreation center has a batting cage with a machine that pitches balls to the batter for friends sign up for a 1/2 hour of time in the batting cage if they share the 1/2 hour equal how much of a whole hour will each friend get in the batting cage

Answers

Answer:

7.5 minutes

Step-by-step explanation:

well 30 minutes is 1/2 hour so just take 30 and divide it by 4 to get 7.5 minutes. or 7 minutes 30 seconds.

1/3 x 2/3, Please help me with this, I am struggling.

Answers

Answer:

2/9

Step-by-step explanation:

i search it up

Bob bought 24 hockey tickets for $83. Adult tickets cost $5.50 and child tickets cost $2.00. How many child tickets did he buy?

Answers

Answer:

14 kid tickets

10 adult tickets

Step-by-step explanation:

2.00*14=28

5.50*10=55

55+28=83

Need help with this please

Answers

Answer:

158 correct

Step-by-step explanation:

158

Step-by-step explanation:

guys please help i don’t think i’m going to pass this .. this is due right now help. i’ll give brainlest.

Answers

Answer:

letter a!

Step-by-step explanation:

together teammates Pedro and Ricky got 2666 base hits last season Pedro had 276 more hits than Ricky how many hits do each player have​

Answers

So first divide 2666 by 2 because there are two people and your trying to find out how many hits they both have. So after you divide should get 1333. Then add 276, and you should get 1609. So Pedro had 1609 hits and Ricky got 1057 hits. What you do to find Rickys is 2666-1609 and you get 1057.

Hope this helps :)

Find the solution of the system of equations -7x-3y=-20 3x+6y=-15

Answers

9514 1404 393

Answer:

  (5, -5)

Step-by-step explanation:

I like a graphing calculator for quickly finding a solution to a system of equations. It shows the solution to be (5, -5).

__

We can add the second equation to 2 times the first to eliminate the y-variable.

  2(-7x -3y) +(3x +6y) = 2(-20) +(-15)

  -11x = -55 . . . . . collect terms

  x = 5 . . . . . . . . . divide by -11

Substituting this value into the second equation, we have ...

  3(5) +6y = -15

  6y = -30 . . . . . . . . subtract 15

  y = -5 . . . . . . . . . . divide by 6

The solution is (x, y) = (5, -5).

Help meh- im d u m b

Answers

Answer:

[A] 0

Explanation:

Lines of symmetry; A line that cuts a shape exactly in half

If you were to put a line of symmetry down and fold the shape in half on that line, both halves would match exactly.

If you were to put a line of symmetry down on this triangle both sides would not match, therefore there are no lines of symmetry.There are zero lines of symmetry, therefore your answer is [A] 0

I NEED HELP!!! You deposit $1,500 in an account earning 2.75% simple interest. How long will it take for the balance of the account to be $1,995?

Answers

12 years if interest is paid yearly
12 months if interest is paid monthly
Step-by-step explanation:
2.75% of $1500 is $41.25 interest per period
$1995-$1500 = $495 total interest
$495 ÷ $41.25 = 12 periods
Therefore it takes 12 interest periods to reach $1995, so the answer is 12 months or 12 years depending on how often interest is paid.

I WILL GIVE BRIANLIEST!!!!!!!!

Please, I really need to get these right because I’m redoing it for full credit and I have an F in math, help me with as many as you can but don’t guess because I really need this. Even if you see other people’s answers, please give me your feedback still.

Answers

Answer: This might be a little too late but I believe the answer is 2; distance increases by 2 miles per hour. I hope you have a great day and good luck!

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