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3 years ago

Divide 72kg in a ratio of 1:3:5

1 answer:

7 0

Add together your portions 1 + 3 + 5 = 9 divide 72 by 9 = 8 Each portion is multiplied by 8 1 x 8 = 8 3 x 8 = 24 5 x 8 = 40 Your portions are 8kg:24kg:40kg Is this correct? Add 8 + 24 + 40. Do they equal 72? yes. Your portions are correct.

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A square picture in a magazine has an area of 27 square inches. What is the length of each side of the picture?

hodyreva [135]

Answer:

5.19615242271

Step-by-step explanation:

I square root 27 and got 5.19615242271, so that picture is not a perfect square but if you want to be exact that's the answer

7 0

3 years ago

The team is 52 yards away from a touchdown. Steve ran the football 26 yards toward the end zone, but on the next play Keith was

castortr0y [4]

Answer:

34 yards

Step-by-step explanation:

52 - 26 + 8

26 + 8

8 0

3 years ago

Which statements are true when you contrast multiplicative numerical patterns in the form and additive numerical patterns in the

Elina [12.6K]

Answer:

A. In an additive numerical pattern, the relationship between x and y values is y + x, but in a multiplicative pattern, the relationship is y × x.

Step-by-step explanation:

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4 years ago

Find the values of x and y for the isosceles trapezoid

butalik [34]

<h3>Answer:</h3>

x = 15
y = 3

<h3>Step-by-step explanation:</h3>

If the trapezoid is isosceles, angles A and C are supplementary, so ...

... (4x+4) +(7x+11) = 180

... 11x +15 = 180 . . . . . . collect terms

... 11x = 165 . . . . . . . . . subtract 15

... x = 15 . . . . . . . . . . . . divide by the coefficient of x

And angles C and E are congruent.

... 4·15 +4 = 21y +1

... 63 = 21y . . . . . subtract 1

... 3 = y . . . . . . . . divide by the coefficient of y

4 0

4 years ago

Heather has divided $5400 between two investments, one paying 8%, the other paying 5%. if the return on her investment is $

Phantasy [73]

Answer:

$2500 at 8%.

$2900 st 5%.

Step-by-step explanation:

Let x be the amount invested at rate of 8% and y be the amount invested at the rate of 5%.

We have been given that Heather has divided $5400 between two investments. We can represent this information as:

$x+y=5400...(1)$

The return on her investment is $345.

Earnings from the investment at 8% will be 8% of x.

Earnings from the investment at 5% will be 5% of y.

$(\frac{8}{100})x+(\frac{5}{100})y=345...(2)$

$0.08x+0.05y=345...(2)$

We will use substitution method to solve our system of equations. From equation (1) we will get,

$x=5400-y$

Substituting this value in equation (2) we will get,

$0.08(5400-y)+0.05y=345$

$432-0.08y+0.05y=345$

$-0.08y+0.05y=345-432$

$-0.03y=-87$

$\frac{-0.03y}{-0.03}=\frac{-87}{-0.03}$

$y=2900$

Therefore, Heather has invested an amount of $2900 at 5%.

Let us substitute y=2900 in equation (1) to solve for x.

$x+2900=5400$

$x+2900-2900=5400-2900$

$x=2500$

Therefore, Heather has invested an amount of $2500 at 8%.

6 0

3 years ago