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bogdanovich [222]
3 years ago
8

Jenny had a snack mix. For every 2 chocolate chips, there are 6 peanuts. If there are 108 peanuts in the mix,how many chocolate

chips are in the mix
Mathematics
1 answer:
JulijaS [17]3 years ago
6 0
Use proportions. 

2 chocolate chips : 6 peanuts =     ?   chocolate chips : 108 peanuts

Find the scale factor of the information that matches. In this case it would be 108 peanuts divided by 6 peanuts. Then use this scale factor to multiply 2 chocolate chips by to get your answer.

SF: 108 <span>÷ 6 = 18

18 x 2 = 36 chocolate chips

2 chocolate chips : 6 peanuts =  36 chocolate chips : 108 peanuts

ANSWER: If there are 108 peanuts in the mix, there will be 36 chocolate chips in the mix.</span>
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The county fair charges $2.50 per ticket for the rides. Henry bought 15 tickets for the rides and spent a total of $55.50 at the
san4es73 [151]

Answer:

<em>(A)  $18</em>

<em>(B)   y=2.50x+18</em>

<em>(C)   Coefficient of x-term represents the cost for each ride ticket and constant term represents the cost of admission to the fair.</em>

Step-by-step explanation:

(A)

The county fair charges $2.50 per ticket for the rides and Henry bought 15 tickets for the rides.

So, the total cost of the 15 tickets will be:  (\$2.50*15)= \$37.50

He spent total $55.50 on ride tickets and fair admission.

So, the cost of admission to the fair will be:  (\$55.50-\$37.50)= \$18

(B)

If x represents the number of ride tickets and y represents the total cost, then the cost for x number of ride tickets is \$2.50x

So, the linear equation that can be used to determine the cost for anyone who pays for ride tickets and fair admission will be:   y= 2.50x+18

(C)

In the above linear equation, <u>coefficient of x-term is 2.50, which represents the cost for each ride ticket</u>.

And the <u>constant term is 18, which represents the cost of admission to the fair</u>.

4 0
3 years ago
The formula for computing compound interest for a principal P that is invested at an annual rate r and compounded annually is gi
maria [59]

9514 1404 393

Answer:

  • r ≈ 6%

Step-by-step explanation:

Solving for r when n=2, we have ...

  A=P(1+r)^2\\\\\dfrac{A}{P}=(1+r)^2\\\\\sqrt{\dfrac{A}{P}}=1+r\\\\\boxed{r=\sqrt{\dfrac{A}{P}}-1}

For the given values of A and P, the value of r is ...

  r=\sqrt{\dfrac{5600}{5000}}-1=\sqrt{1.12}-1\approx 1.0583-1\\\\\boxed{r\approx 6\%}

8 0
3 years ago
A spinner is divided into 8 equal sections, and each section contains a number from 1 to 8. What is the probability of the spinn
alukav5142 [94]

Answer:

more than likely none

Step-by-step explanation:

because the is no number higher than 8 that can go into 8 evenley

8 0
3 years ago
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A = 16 in , b = 8 in., h =
klasskru [66]
The height is 2 inches
7 0
3 years ago
The following shapes are similar. Set up equation and solve for the variables
koban [17]

Answer:

x=10

Step-by-step explanation:

For number 19.

The equation you get is:

X+2=6(2) this is because 5x2=10, so you have to do the same here.

so, X+2=12

-2 from both sides and you get

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3 years ago
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