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2 years ago

6

Evan spent 20 hours doing homework last week. This week he spent 25 hours doing homework. He says that he spent 125% more time d

oing homework this week. Is he correct? Show your work to justify your decision. (5 points)

2 answers:

ozzi2 years ago

3 0

Answer:Yes

Step-by-step explanation:

25% of 20 is 5.

Margaret [11]2 years ago

3 0

Answer:

Step-by-step explanation:

25% of 20 is 5.

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50 is 40% of what number

DENIUS [597]

50 / 0.40 = 125

To check your answer, 125 * 0.4 = 50

7 0

3 years ago

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The lengths of the two sides of a triangle (not necessarily a right triangle) are 1.00 meters and 3.46 meters. The sine of the a

Hoochie [10]

Answer:

0.1228

Step-by-step explanation:

We use sine rule

$\dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin C}$

where, in any triangle <em>ABC</em>, <em>a</em> is the side opposite ∠A, <em>b</em> is the side opposite ∠B and <em>c</em> is the side opposite ∠C.

Applying this to the question,

$\dfrac{1.00}{0.0355} = \dfrac{3.46}{\sin B}$

$\sin B = 3.46\times0.0355 = 0.12283 \approx 0.1228$

7 0

3 years ago

Consider a line passing through the points A(–28, –13) and B(28, 15). Type the y-value for the point C(–24, y) to ensure that po

Nostrana [21]

Step-by-step explanation:

$\frac{y_2-y_1}{x_2-x_1}=\frac{15-(-13)}{28-(-28)}\\=\frac{28}{2(28)}\\\therefore\ m=\frac{1}{2}\\\frac{y-y_1}{xl-x_1}=m]\\\frac{y+13}{x+28}=\frac{1}{2}\\2y+26=x+28\\2y=x+2\\ y=\frac{1}{2}x+1$

In order to find y for point C on AB, substitute point C in line equation if AB.

$y=\frac{1}{2}(-24)+1\\\therefore y=-12+1=11\\\therefore C(-24, -11)$

7 0

3 years ago

The difference between two numbers is 15. If 8 is added to twice the greater number, the result is 4 less than 3 times the lesse

yuradex [85]

Answer:

Step-by-step explanation:

Let $x$ be the greater number and $y$ be the smaller number. We know that their difference is 15, so we have

$x-y=15$

Then, we have the following information: if we add twice the greater (2x) and 8 (2x+8), the result is 3 times the lesser (3y) minus four (3y-4). So, we have

$2x+8 = 3y-4 \iff 2x-3y = -12$

So, we have the follwing system:

$\begin{cases} x-y=15\\2x-3y = -12\end{cases}$

From the first equation, we can derive $x = y+15$ , and substitute this expression in the second equation to get

$2(y+15)-3y = -12 \iff 2y + 30 -3y = -12 \iff -y = -42 \iff y = 42$

Substitute this value for y in the first equation to get

$x-42=15 \iff x=15+42 \iff x = 57$

8 0

3 years ago

Freddie made the number line below to model the laps he walks around a track at his

Elena-2011 [213]

Answer:

On a standard running 400-meter track a mile is 4 laps… plus 9 more meters if you want to get all technical about it. A mile is specifically 1,609.3 meters.

Step-by-step explanation:

6 0

3 years ago