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vlada-n [284]
3 years ago
7

Write this ratio as a fraction in simplest form without any units. 8 yards to 21 feet

Mathematics
1 answer:
Deffense [45]3 years ago
6 0
8/7. You must turn yards into feet. There are three feet in a yard, so 24 overall. You then divide both 21 and 24 by 3 because it's the smallest common factor.
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Ralph is an electrician. He charges an initial fee of $26, plus $31 per hour. If Ralph earned $119 on a job, how long did the jo
lubasha [3.4K]


3 hours

You can turn this into an equation:

F = 26 + 31t
Where F is the money Ralph earned, and t is the number of hours he worked.

Plugging in the 119 for F, we get
119 = 26 + 31t

93 = 31t

3 = t

5 0
3 years ago
Please help me with 2 and 3 and use the elimination process!
grandymaker [24]

Answer:

2. Judy =$5

Ben= $4

Step-by-step explanation:

2. Let Judy =  x  and Ben =  y

8x + 10y = 80

9x + 5y = 65

Solve these simultaneous equations.

8 x  +  10 y  =  80

18 x  +  10 y  =  130

Take the second equation away from the first equation

− 10 x  =  − 50

x  =  5

This means that Judy gets paid $5 an hour.

Therefore, Ben gets paid $4 an hour.

Answer:

3. 24 quarters and 16 dimes

Step-by-step explanation:

3. Let the number of dimes = x and the number of quarters = y

                                    Value      Value

Type        Number       of             of

of             of                EACH      ALL

coin         coins            coin        coins

-------------------------------------------

dimes         x              $0.10       $0.10x

quarters      y             $0.25      $0.25y

-------------------------------------------

TOTALS    40                            $7.60

x + y = 40

0.10x + 0.25y = 7.60

Get rid of decimals by multiplying every term by 100:

10x + 25y = 760

So we have the system of equations:

x + y = 40

10x + 25y = 760

         

We solve by substitution.  Solve the first equation for y:

x + y = 40

y = 40 - x

Substitute (40 - x) for y in 10x + 25y = 760

      10x + 25(40 - x) = 760

      10x + 1000 - 25x = 760

           -15x + 1000 = 760

                  -15x = -240

                       x = 16 = the number of dimes.

Substitute in y = 40 - x

                     y = 40 - (16)

                     y = 24 quarters.

$1.60 + $6.00 = $7.60

I hope that helped, sorry for taking so long :-)

8 0
3 years ago
At 2:00 pm there are 350 freshmen and 200 sophomores at a school carnival. After 2:00 pm 20 freshman leave every hour and 35 sop
dmitriy555 [2]

Answer:

160:340

Step-by-step explanation:

The hours between 2:00pm and 4:00pm is 2 hours. If originally 350 freshman and 200 sophomores are at the carnival, and 20 freshman leave every hour, we can determine how many freshman left in 2 hours:

=20\cdot{2}=40

and if 35 sophomores arrive every half our, we know that for every two hours there is 4 half hours, therefore:

=35\cdot{4}=140

The amount of freshman at 4:00pm:

200-40=160

and the amount of sophomores:

200+140=340

the ratio is 160:340

5 0
3 years ago
Read 2 more answers
Solving a Real-World Problem
lisov135 [29]

Answer:

C would be your answer as the formula for the volume of a cone is pi*r²*h/3

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Say youre going to conduct a t procedure for the difference between the means of two populations. You decide the samples of size
stiv31 [10]

Answer:

all 3 are correct.

I

II

III

you're welcome

6 0
3 years ago
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