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meriva
3 years ago
6

MARK BRAINIEST The base of a triangle is 7 3/4 inches, and the height is 4 2/3 inches. What is the area of the triangle? A) 14 4

/7 in2 B) 18 1/12 in2 C) 28 1/2 in2 D) 28 1/6 in2
Mathematics
1 answer:
Keith_Richards [23]3 years ago
3 0
Short Answer: B
Remark
The area of any triangle is 
A = 1/2 b * h
b = 7 3/4
h = 4  2/3

Step one
Convert all fractions to improper fractions.

7 3/4 = (28 + 3) / 4 = 31/ 4

4 2/3 = (12 + 2) / 3 = 14/3 Now multiply

Step Two
Multiply
Area = 1/2 * 31/4 * 14/3 Multiply the numerators together and then the denominators.
Area = (1 * 31 * 14) / (2 * 4 * 3) = 434 /24

Step 3
Convert this to a whole number + a fraction

Area = 18 + 0.08333333 You already have your answer. It is  B because only B gives an answer of 18. But you can get the rest of 

Let x = 0.083333333
100 x = 8.3333333333 
 <u>x =       0.0833333333 </u>  Subtract
99  x = 8.25 Divide by 3 on both sides.
33 x = 2.75  Divide by 11
3x  = 0.25  
x = 0.25/3 Multiply top and bottom by 4
x = 1 / 12

The answer is 18 1/12. 

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Answer:

24

Step-by-step explanation:

Just plug each number in calculator and do multiply buy 3 and divide by 4 then add them together

8 0
3 years ago
You need a 15% acid solution for a certain test, but your supplier only ships 5% solution and 17.5% solution. If you need 20 lit
Nimfa-mama [501]

Answer:

4 liters of 5% and 16 liters of 17.5%

Step-by-step explanation:

Let quantity of 5% be x liters and of 17.5% be y liters

x+y=20 hence y=20-x

Introducing percentages

0.05x+0.175(20-x)=0.15*20

0.05x+3.5-0.175x=3

-0.125x=-0.5

x=\frac {-0.5}{-0.125}=4

Therefore, y=20-x=20-4=16

You need 4 liters of 5% and 16 liters of 17.5% to achieve 20 liters of 15% acid solution

6 0
3 years ago
Read 2 more answers
Write two different pairs of decimals whose sums are 8.69. one pair should involve regrouping.
Komok [63]
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Regrouping (carrying): 4.93 + 3.76
6 0
3 years ago
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What’s the answer for the problems 11-15 in the picture
snow_lady [41]

Answer:

11.

A) EZ Pay Plan=0.15x

B) 40 to Go Plan=0.05x+40

12.

0.15x=0.05x+40

13.

x=400 minutes

14. The solution is the amount of minutes that it takes for both plans to cost the same amount. X has one solution, so it accounts for both equations.

15. EZ Pay Plan

Step-by-step explanation:

For 11, what you need to know is that the slope (coefficient of x) is the price per minute. 0.15 per minute and 0.05 per minute are charged, and therefore are the slope for those equations. The 40 on B is because it is the y intercept. No matter how long you use the object, you will always pay at least 40 dollars.

For 12, you have to find x for the minutes used.

For 13, if you do the process algebraically,

0.15x=0.05x+40  

0.10x=40     (subtracted 0.05x from both sides)

x=400       (divided 0.10x and 40 by 0.10)

For 14, (no explanation)

For 15, if you substitute 200 as x, you would see that the EZ Pay Plan would make you pay 30 dollars while the 40 To Go Plan would make you pay 10+40 dollars, which 30<50.

(sorry for late response)

7 0
3 years ago
Cherries are $2.00/ pound what is the constant of proportionality
Airida [17]

Answer:

$2 price per pound

2 is the constant of proportionality

Step-by-step explanation:

Price of Cherries = $2 per pound

what is the constant of proportionality

If y = total cost of buying x pounds of Cherries at $2 per pound

The equation below represent the situation

y = $2 * x

y = 2x

The constant of proportionality is 2

That is, the $2 price per pound

8 0
3 years ago
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