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2 years ago

Give a real situation for the sum -15+10

Mathematics

1 answer:

il63 [147K]2 years ago

7 0

if you are in debt for -15 dollars in your bank account you add 10 dollars then you are-5 dollars in your bank account

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Curtis threw 18 darts at a dartboard. 48% of his darts hit the bull’s-eye. How many darts did not hit the bull’s-eye?

Pepsi [2]

Change 48% to 0.48
0.48 x 18 = 8.64
rounded would be 9

4 0

2 years ago

If x+3 is a factor of x^3-x^2-10x+A. What is the value of A?

Leno4ka [110]

Answer:

$A = 6$ .

Step-by-step explanation:

Let $a$ denote a constant (a number, rather than a variable like $x$ .)

Let $f(x)$ denote an expression about $x$ (for example,

By the factor theorem, if $(x - a)$ is a factor of $f(x)$ , then $f(a) = 0$ . In other words, if all mentions of $x$ in the expression $f(x)\!$ are replaced with $a$ , then the expression should evaluate to zero.

$(x + 3)$ is equivalent to $(x - (-3))$ . That is: $a = -3$ .

Replace all mentions of $x$ in $x^3 - x^2 - 10\, x + A$ by $(-3)$ to get:

$(-3)^3 - (-3)^2 - 10\times (-3) + A$ .

That should evaluate to zero. Therefore: $-27 - 9 + 30 + A = 0$ . Solve for $A$ to get $A = 6$ .

7 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

Erin makes a paper chain. Each loop of the paper chain is about 3 inches long. Erin puts 8 loops of paper together. About how lo

prohojiy [21]

For eight loop, multiply it by 3 to get the whole length of loop
8 x 3 = 24 inches
Since 12 inches is equivalent to 1 feet, convert that
24 inches * (1 feet / 12 inches) = 2 feet

5 0

3 years ago

In converting 30 pounds to ounces, what unit (omit the number) would you

gladu [14]

Step-by-step explanation:

to convert pounds into ounces you'd

actually multiply 16 by 30:

30 * 16

you're doing this because if one pound equals 16 ounces, if you have 30 pounds then you must've had more ounces. therefore you'd multiply.

which is 480 pounds

Enjoy!

6 0

3 years ago