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3 years ago

13

Help mark you as brainly

1 answer:

Greeley [361]3 years ago

5 0

Answer:

5

Step-by-step explanation:

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Is 3 greater than -2

dimaraw [331]

Yes, three is greater than -2

3 0

4 years ago

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A student attempted to generate an equivalent expression using the distributive property, as shown below:

Schach [20]

It is 6 was not multiplied by 3
The answer should be 6(m+3)= 6m+ 18

5 0

4 years ago

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. Sinaia is having a birthday party with snacks and activities for her guests. At one table, five

katovenus [111]

Answer:

1/5 or 0.2 of the whole pizza

but it says that theres only 3/4 of the pizza there. so 3/4 of a pizza eaten by 5 people each person would get 0.15 of the pizza

Step-by-step explanation:

5 0

3 years ago

Maria has recently retired and requested an extra $444.00 per year in income. She has $ 5400 to invest in an A-rated bond that

Dimas [21]

Answer:

$2400 in A rated bond and $3000 in B rated bond.

Step-by-step explanation:

We have been given that Maria has recently retired and requested an extra $444.00 per year in income.

We can represent this information in an equation as:

$A+B=5400...(1)$

She has $5400 to invest in an A-rated bond that pays 10% per annum or a B-rated bond paying 6% per annum.

$0.10A+0.06B=444...(2)$

From equation (1), we will get:

$A=5400-B$

Substitute this value in equation (2):

$0.10(5400-B)+0.06B=444$

$540-0.10B+0.06B=444$

$540-0.04B=444$

$540-540-0.04B=444-540$

$-0.04B=-96$

$\frac{-0.04B}{-0.04}=\frac{-96}{-0.04}$

$A=2400$

Therefore, Maria should invest $2400 in A-rated bond.

Substitute $A=2400$ in equation (1):

$2400+B=5400$

$2400-2400+B=5400-2400$

$B=3,000$

Therefore, Maria should invest $3000 in B-rated bond.

6 0

3 years ago

You are building a shelf that fits in a corner. In the figure, the entire shelf is △XYZ. Each unit in the coordinate plane repre

natima [27]

Complete Question: You are building a shelf that fits in a corner in the figure the entire shelf is XYZ each unit in the coordinate plane represents one inch find the area of the shelf.

Answer:

112.5 units²

Step-by-step explanation:

Area of the shelf = ½*base*height.

The base is the distance between Z(0, 5) and Y(15, 5)

The height is the distance between X(15, 20) and Y(15, 5).

Therefore area of the shelf = ½*ZY*XY

Use the distance formula to find ZY and XY.

Distance between Z(0, 5) and Y(15, 5):

$ZY = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$Z(0, 5) = (x_1, y_1)$

$Y(15, 5) = (x_2, y_2)$

$ZY = \sqrt{(15 - 0)^2 + (5 - 5)^2}$

$AB = \sqrt{(15)^2 + (0)^2}$

$AB = \sqrt{225 + 0} = \sqrt{225}$

$AB = 15$

Distance between X(15, 20) and Y(15, 5):

$XY = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$X(15, 20) = (x_1, y_1)$

$Y(15, 5) = (x_2, y_2)$

$XY = \sqrt{(15 - 15)^2 + (5 - 20)^2}$

$XY = \sqrt{(0)^2 + (-15)^2}$

$XY = \sqrt{0 + 225} = \sqrt{225}$

$XY = 15$

Area of shelf = ½*15*15 = ½*225 = 112.5 units²

4 0

3 years ago