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3 years ago

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A table saw is on clearance for 20% off. If the sale price of the table saw is $380, what was the original price? Justify your s

olution. Round to the nearest cent if necessary.

2 answers:

Nikolay [14]3 years ago

5 0

20% off means it is selling for 80% of the original price ( 100% - 20% =80%)

Divide the sale price by 80% as a decimal:

380/0.80 = 475

The original price was $475

Justify:

Multiply the original price by 20% and subtract:

475 x 0.20 = 95

475-95 = $380 which is the sale price.

kogti [31]3 years ago

4 0

Answer:

Step-by-step explanation:

20% off means it is selling for 80% of the original price ( 100% - 20% =80%)

Divide the sale price by 80% as a decimal:

380/0.80 = 475

The original price was $475

Justify:

Multiply the original price by 20% and subtract:

475 x 0.20 = 95

475-95 = $380 which is the sale price.

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if syn spends 15 minutes running, he burns 200 calories. how long would it take Syn to burn 150 calories?

kramer

Answer:

<h2>11.25min</h2>

Step-by-step explanation:

In this problem, we first need to find the rate at which syn burns calories per minute

so in 15mins, he burns 200 calories

in 1 mins he will burn x

x= 200/15

x=13.33 calories per min this is the rate

So in one minute he will burn 13.33 calories

Now using the idea of rate=quantity/time

the rate=13.33

quantity=15 calories

time=?

time=quantity/rate

time=150/13.33

time=11.25min

Alternatively

(very fast approach)

if syn spend 15min to burn 200 cal

then he will spend x min to burn 150 cal

cross multiply

x=(150*15)/200

x=2250/200

x=11.25mins

5 0

3 years ago

A parallelogram has vertices E(1, 4), F(5, 3), G(−3, 1), and H(1, 0). What are the coordinates of the midpoint of each diagonal?

kozerog [31]

Check the picture below.

now, the diagonals cut each other in two equal halves, thus, the midpoint of GF is the same coordinates as the midpoint for EH, so let's check what the midpoint for GF is then

$\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
G&({{ -3}}\quad ,&{{ 1}})\quad 
% (c,d)
F&({{ 5}}\quad ,&{{ 3}})
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)
\\\\\\
\left(\cfrac{5-3}{2}~~,~~\cfrac{5-1}{2} \right)\implies \left( \cfrac{2}{2}~~,~~\cfrac{4}{2} \right)\implies (1,2)$

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3 years ago

Find P(A or B or C) for the given probabilities. Upper P left parenthesis Upper A right parenthesis equals 0.34 comma Upper P

otez555 [7]

Answer:

$P(A \cup B \cup C)=0.48$

Step-by-step explanation:

Given the following probabilities for events A and B

$P(A)=0.34\\P (B )= 0.23\\ P (C )= 0.12\\ P(A \cap B )= 0.11\\ P (A \cap C )= 0.04\\ P (B \cap C )= 0.07\\P(A \cap B \cap C)=0.01$

We want to find P(A ∪ B ∪ C).

Using the inclusion/exclusion formula for the union of three events:

P(A ∪ B ∪ C) = P(A) + P(B) + P(C) − P(A ∩ B) − P(A ∩ C)−P(B∩C)+P(A∩B∩C).

$P(A \cup B \cup C)=0.34+0.23+0.12-0.11-0.04-0.07+0.01\\P(A \cup B \cup C)=0.48$

Therefore, P(A or B or C) = 0.48

3 0

4 years ago

Which of the following is a disadvantage to using graphs and diagrams? CHECK ALL THAT APPLY (select more than 1 answer)

romanna [79]

Answer:

Aand C I think ......................

4 0

3 years ago

Answer this question.

balu736 [363]

Answer:

B) Both functions have a y-intercept of -2.

Step-by-step explanation:

Hi there!

<u>A) Both functions are always increasing.</u>

⇒ False

Let's first take a look at the given equation, $y=3x-2$ . This is a linear equation, and it is organized in slope-intercept form: $y=mx+b$ . <em>m</em> is the slope and <em>b</em> is the y-intercept. When <em>m</em> is positive, it is always increasing.

In $y=3x-2$ , 3 is <em>m</em>, and because it's positive, this line is always increasing on a graph.

However, when we take a look at the given graph, this isn't the case. It is decreasing for values of x below 0 (on the left side of the y-axis).

<u>B) Both functions have a y-intercept of -2.</u>

⇒ True

In the given equation $y=3x-2$ , this is true. -2 is the y-intercept.

On the given graph, we can see that the graph intercepts the y-axis at -2, so this is also true for the graph.

<u>C) Both functions are symmetric about the y-axis.</u>

⇒ False

The given graph is symmetric about the y-axis, but the line is not. Any line that would be symmetric about the y-axis would be in the form $y=b$ , which isn't the case here with $y=3x-2$ . $y=3x-2$ has a slope.

<u>D) Both functions are linear relationships.</u>

⇒ False

Sure, $y=3x-2$ is a linear equation, making it a line, but not the given graph. The graph does not resemble a straight line, so it is not a linear relationship.

I hope this helps!

5 0

3 years ago