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topjm [15]
2 years ago
12

2. John and Jen went to the farmers market to buy fruit. John bought 3 boxes of oranges and 9 boxes of cherries for $78. Jen bou

ght 8 boxes of oranges and 4 boxes cherries for $58. The system of equations ( shown in the pic i uploaded) can be used to represent this situation. A. Find how much does a box of oranges and a box of cherries cost ?

Mathematics
1 answer:
jenyasd209 [6]2 years ago
7 0

Answer:

Let the cost of orange be X and cost of cherry be y

3x + 9y = 78

8x + 4y = 58

Solving equation using elimination method

multiplying eq 1 with 8 and eq 2 with 3

8(3x + 9y ) = 78(8)

3( 8x + 4y) = 3(58)

24x + 72 y = 624

24x + 12y = 174

subtracting,

60 y = 450

y = 7.5

3x + 9(7.5) = 78

3x + 67.5 = 78

3x = 78 - 67.5

3x = 10.5

x = 3.5

<h2>Box of orange = $3.5 </h2><h2>Box of cherry = $7.5</h2>
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Suppose you invest $750.00 in a fund earning 6% simple discount. A certain time later you withdraw the investment (principal and
barxatty [35]

Answer:

4.08 + 2 = 6.08 years

Step-by-step explanation:

we know that

Simple Interest(S.I.) = (P × R × T) ÷ 100

where, P = Principal = 750

R = Rate = 6%

T = unknown

⇒ S.I. = (750 × 6 × t)÷ 100

⇒ S.I. = 45t

Also, Amount = S.I + Principal

⇒ Amount = 750 + 45t

Now Formula for Compound Interest is:

A = P(1+\frac{r}{100})^{t}

where A = Amount

=1000

P = Principle

r = rate

t = total number of year

Here, P = 750 + 45t, r = 3.5% , and t = 2.

Putting all these values in above formula:

1000 = (750 + 45t)(1+\frac{3.5}{100})^{2}

⇒ 1000 = (750 + 45t)(1.071)

⇒ t = 4.08

Hence, total time required will be 2 + 4.08 = 6.08 years.

7 0
4 years ago
The temperature went from -16°F to 7°F. What was the change in temperature?
worty [1.4K]

Answer:

To find this out, we first need to see the change, is it a positive change or a negative change? Well in this case, as the temperature is increasing, we find that the change is positive. The next step we need to do, id that, how much was the change by, we can find this out by finding the absolute value of the difference of -16°F and 7°F

The absolute value means, the operations answer has to be positive, if not then it will become positive.

|-16°F -7°F|

=> |-23°F|

=> 23°F

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

4 0
3 years ago
Angeline bought s yards of satin fabric priced at $8.09 per yard, and c yards of cotton fabric priced at $3.79 per yard. Use an
max2010maxim [7]

Answer:

Angeline will spend $70.77

Step-by-step explanation:

y = 8.09(5) + 3.79(8)

y= 30.32 + 40.45

y = 70.77

3 0
4 years ago
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The discount sales price would be $218
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3 years ago
A line has a slope of -10 and includes the points (4, w) and (3,0). What is<br> the value of w?
inn [45]

Answer:

-10

Step-by-step explanation:

8 0
2 years ago
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