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3 years ago

Pls help Question On the photo

Mathematics

1 answer:

Mrac [35]3 years ago

8 0

Answer:

C. In step 2, Cindy should have multiplied both sides of the equation by 2.

Step-by-step explanation:

I'll go through the equation correctly, and then point out what would have happened.

3 = x/2 - 5

Add 5 to both sides. -5 and 5 cancel out.

8 = x/2

What Cindy should have done here is multiply by 2, not divide by 2. It is important to remember that you do the INVERSE operation to cancel out a number.

What would have happened here is that we have an extra step (though either way we still end up with x being 16.)

Correct Step 2:

Multiply both sides by 2. x/2 and 2x cancel out.

x = 16

Incorrect Step 2:

8/2 = (x/2)/2

4 = x/4

Multiply both sides by 4 (this would be the extra step!).

16 = x

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What is the slope of the line that contains the points (-1, 8) and (5, -4)?

maxonik [38]

Answer:

slope = - 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 1, 8) and (x₂, y₂ ) = (5, - 4)

m = $\frac{-4-8}{5+1}$ = $\frac{-12}{6}$ = - 2

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4 years ago

Read 2 more answers

Consider this scaled figure of a swimming pool. The dimensions of the original pool are 24 feet wide by 36 feet long. A rectangl

kozerog [31]

The scale factor used for scaling the actual rectangular pool was 4/15 and the length of the scaled rectangle is 9.6 feet.

<h3>How to calculate the scale factor?</h3>

Suppose the initial measurement of a figure was x units.

And let the figure is scaled and new measurement is of y units.

Since the scaling is done by multiplication of some constant, that constant is called scale factor. Let that constant be 's'.

Then we have:

$s \times x = y\\s = \dfrac{y}{x}$

Thus, scale factor is the ratio of the new measurement to the old measurement.

For this case, we're specified that:

Dimensions of the original pool = 24 feet wide by 36 feet long

The scaled rectangle's dimension: 6.4 feet width and L feet length (we assume the length be L units).

So, in scale drawing, 24 feet was converted to 6.4 feet. Let the scale factor be 's', then:

$6.4 = s \times 24\\\\s = \dfrac{6.4}{24} = \dfrac{4}{15}$

Thus, since length is also scaled by same factor(as the whole figure is scaled by constant scale factor assumingly), we get:

Scaled length = s times original length

$L = \dfrac{4}{15} \times 36 = 9.6 \: \rm feet$

Thus, the scale factor used for scaling the actual rectangular pool was 4/15 and the length of the scaled rectangle is 9.6 feet.

Learn more about scale factors here :

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2 years ago

You receive $50 for your birthday you buy a book for $14.95 and a baseball cap for $24.95 how much money do you have left

GuDViN [60]

Answer:

You have $10.10

Step-by-step explanation:

14.95 + 24.95 = 39.90

50 - 39.90 = 10.10

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3 years ago

What is 135 km/h to ft/s.

Dominik [7]

Answer:

123.035ft/s

Step-by-step explanation:

for an approximate result divide the speed value by 1.097

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3 years ago

If you go out to eat with 3 friends and your meal was $72.50, what should you leave for gratuninty if you want to tip your waite

kvv77 [185]

Answer:

$10.88 or round up to $11

Step-by-step explanation:

Since 15 is expressed as a percent, you can convert it to a decimal.

.15, which can also be 15/100 if you were to write it as a fraction.

You are trying to find 15% of 72.50 so you would need to multiply your new decimal (.15) to your meal total. This will give you 10.875 or 10.88.

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4 years ago