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IrinaK [193]
3 years ago
15

Mary has walked 8 km, which is 55% of the total distance she will walk. How much farther

Mathematics
1 answer:
Viefleur [7K]3 years ago
3 0

To find the total distance, Divide distance already walked by percentage:

8 / 0.55 = 14.55 km

She already walked 8 so now subtract:

14.55 - 8 = 6.55 km left to walk

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Solve and graph the following inequality: 3(7x+17) > -19 + 14x
love history [14]

Answer:

Solving the inequality we get: \mathbf{x>-7}

Step-by-step explanation:

We need to solve and graph the inequality 3(7x+17) > -19 + 14x

Solving:

3(7x+17) > -19 + 14x

Step 1: Multiply  3 with terms inside the bracket

21x+51 > -19 + 14x

Step 2:Subtracting 51 on both sides

21x+51-51 > -19 + 14x-51\\21x>14x-70\\

Step 3: Subtract 14x on both sides

21x-14x>+14x-70-14x\\7x>-70

Step 4: Divide both sides by 7

\frac{7x}{7}>\frac{-70}{7}\\x>-10

Solving the inequality we get: \mathbf{x>-7}

The graph is attached in the figure below.

5 0
3 years ago
A student solved log4(2x – 12) = 3, as shown. Which did you include in your answer?
siniylev [52]

Answer:

x = 38

Step-by-step explanation:

using the law of logarithms

• log_{b} x = n ⇔ x = b^{n}, hence

log_{4}(2x - 12) = 3 ⇒ 2x - 12 =  4^{3} = 64

add 12 to both sides

2x = 76 ( divide both sides by 2 )

x = 38


5 0
3 years ago
Find a point-slope form for the line with slope 1/5 and passing through the point (-4,-9).
sattari [20]

Answer:

y + 9 = \frac{1}{5}(x + 4)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = \frac{1}{5} and (a, b) = (- 4, - 9) , thus

y - (- 9) = \frac{1}{5}(x - (- 4) ) , that is

y + 9 = \frac{1}{5}(x + 4)

3 0
2 years ago
HELP PLEASE
Nikolay [14]

Answer:

The 1st the 3rd and 4th are the answers

Step-by-step explanation:

Edgen

4 0
3 years ago
50 people plan to attend the dance and each person will eat 2 slices of cake. If each cake contains 20 slices, how many cakes sh
Naya [18.7K]

Answer:

5

Step-by-step explanation:

You <em>multiply</em> the number of people by the number of each slices each person gets. Which is 100; 50x2.

Each cake has 20 slices so you <em>divide</em> 100 by 20. Which equals 5.

It would take 5 cakes to feed all 50 people 2 slices each.

<em>Hope this helps</em>. :)

3 0
3 years ago
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