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svp [43]
3 years ago
7

PLZ HELP NEED THIS REAL FAST DIS QUESTION HARD ILL GIVE 10 POINTS Jaquenline and her four friends went to the the fair. JaQuenli

ne's dad bought each girl a ticket to enter the fair and a funnel cake. A ticket to enter the fair cost $6. What was the cost of one funnel cake if JaQuenline's dad paid a total of $47.50? Let f represent the price of one funnel cake.
Which equation best represents the situation above?


Question 5 options:


a.4(x + 6) = 47.50



b.4(x + 5) = 47.50



c.5(x + 4) = 47.50



d.5(x + 6) = 47.50
Mathematics
1 answer:
ki77a [65]3 years ago
6 0

Answer:

d.   5(x + 6) = 47.50

Step-by-step explanation:

First, determine the number of girls; (4 friends + Jacquenline) making a total of 5 girls.

If a ticket costs $6, then the the 5 girls' tickets would cost= 5*6

Also, if a funnel cake costs $x , then 5 girls' cakes would cost= 5* x

Total cost of funnel cake and entry tickets = $47.50

Now make the above three into an equation;

(5*x) + (5*6) = 47.50

5 is the common number on the left side so it becomes;

5( x +6) =47.50

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How do you solve this?
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4 0
4 years ago
Simplify: 1/5(-16-9) + 4^2 ÷8​
enot [183]

Answer:

-3

Step-by-step explanation:

you start with the parentheses -16-9 turns into -16 + (-9)

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8 0
3 years ago
Sean has 15,000 to invest she will put some of it into a fund that pays 4.5% annual interest in the rest in a certificate of dep
erastovalidia [21]

Answer:$12500 was invested into the account that pays 4.5% annual interest..

$2500 was invested into the the certificate of deposit that pays 1.8% annual interest..

Step-by-step explanation:

Let x represent the amount invested into the account that pays 4.5% annual interest.

Let y represent the amount invested into the certificate of deposit that pays 1.8% annual interest.

Sean has 15,000 to invest. She will put some of it into a fund that pays 4.5% annual interest and the rest in a certificate of deposit that pays 1.8% annual interest. This means that

x = y + 15000

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

Considering the account earning 4.5% interest, the interest would be

I = (x × 4.5 × 1)/100 = 0.045x

Considering the account earning 11% interest, the interest would be

I = (x × 1.8 × 1)/100 = 0.018y

if she wants to earn 4.05% annual interest on the total amount, the amount would be

4.05/100 × 15000 = 607.5

Therefore,

0.045x + 0.018y = 607.5 - - - - - - - - - - -1

Substituting x = 15000 - y into equation 1, it becomes

0.045(15000 - y) + 0.018y = 607.5

675 - 0.045y + 0.018y = 607.5

- 0.045y + 0.018y = 607.5 - 675

- 0.027y = - 67.5

y = - 67.5/- 0.027

y = $2500

x = 15000 - y = 15000 - 2500

x = $12500

5 0
3 years ago
Find all real numbers X such that 4x+2≥14 and -21x+1<22
kondor19780726 [428]

\begin{cases}4x+2\ge14\\-21x+1

In the first inequality, we have

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In the second, we have

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The solution to the system is the intersection of these two intervals, which would be x\ge3.

3 0
3 years ago
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