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3 years ago

Pls answer A,B,and C. Pls tell me the correct answer for each part and explain how you got the answer.(step by step)

Mathematics

1 answer:

Nady [450]3 years ago

4 0

A). The area of the shaded triangle is 64cm. This is because the formula for the area of a triangle is (b x h) / 2, and the base of this triangle is 16, and the height is 8. So, 16 x 8 is 128, and 128 / 2 = 64. The area is 64cm.
B). The area of each white triangle is 32cm because we can see that the two white triangles is equal to half of the shaded triangle, so we can take the base of the shaded triangle and divide it in two. Then we can use the formula for the area of a triangle and solve for the area: (b x h) / 2 = (8 x 8) / 2 = 32. The area of one of the white triangles is 32cm.
C). Since we have solved for the area of each of the triangles, we can add up all of these individual areas to get the area for the rectangle: White triangle + white triangle + shaded triangle = 32 + 32 + 64, which is equal to 128cm, the area of the rectangle.

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Help me please. 10 pts.

IrinaK [193]

3.)

Variables:

New tablet cost (575),

Money already saved, (56),

Money saved per week(14w)

Write an Equation:

The amount of weekly money you need to earn must cover the leftover cost needed to buy the tablet, therefore:

money_needed - money_you_have = money_earned_per_week

575 - 56 = 14w

Solving:

575 - 56 = 14w

519 = 14w

37.071428 = w

37 weeks needed

You solve the other two on your own.

8 0

3 years ago

Solve the system of linear equations <br> 3x-y=10<br> 2x+y=5

omeli [17]

Answer:

The solution for the system of linear equations 3x-y=10 and 2x+y=5 is x=3 y= -1

<u>Solution: </u>

Given that two linear equations are 3x-y = 10 and 2x + y = 5

We have to find the values of “x” and “y”

Let us consider 3x – y =10 ---- eqn 1

2x + y = 5 --- eqn 2

From eqn 1 , rearranging the terms we get

y = 3x-10 --- eqn 3

By substituting the value of “y” from eqn 3 into eqn 2 we get,

2x + 3x – 10 = 5

On solving above expression, 5x – 10 = 5

5x = 15

x = 3

Substitute the value of “x” in eqn 1 to obtain “y” value

3(3) – y = 10

9 – y = 10

y = 9-10 = -1

Hence the solution for the system of linear equations 3x-y=10

and 2x+y=5 is x=3 and y= -1

7 0

3 years ago

5/16 ÷ 5/12

harkovskaia [24]

Answer:

1.) 3/4

2.) 44/5 or 8 4/5

3.) 17/6 or 2 5/6

Step-by-step explanation:

1.) 5/16 ÷ 5/12

To divide a fraction by another fraction, reciprocate (put the numerator to denominator and vice versa) the divisor then change the sign to multiplication:

5/16 × 12/5

5 × 12 / 16 × 5

Cancel out 5 since both numerator and denominator has it:

12 / 16

Divide both by 4:

12 ÷ 4 / 16 ÷ 4

3/4

2.) 3 1/5 • 2 3/4

You have to convert the fractions first to improper fractions by multiplying the denominator to the whole number then adding the numerator to the product:

3 1/5 = 3×5 + 1 = 16/5

2 3/4 = 2 × 4 + 3 = 11/4

Now you can multiply the numerator to numerator then denominator to denominator:

Since 16 is a factor of 4, you can cancel it out, which leaves 4:

16 / 5 × 11/4

4 × 11 / 5 × 1

44/ 5

3.) 6 3/8 ÷ 2 1/4

Convert to improper fraction:

6 3/8 = 6× 8 + 3 = 51/8

2 1/4 = 4 × 2 + 1 = 9/4

(51 × 4)/ (9×8)