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Vika [28.1K]
3 years ago
12

The sum of 8 and diane's savings is 56

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
6 0
56 minus 8 is 48 

48 is Diane's savings. 
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Solve rx = 30 for x.
yan [13]
X= 30/r is the answer because if you divide both sides by r you are left with x=30/r because you cant divide 30 by r
7 0
3 years ago
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Fourteen hours after a convict escapes from prison, a guard begins to pursue him. If the convict travels at eight mph on foot an
algol13

9514 1404 393

Answer:

  128 miles

Step-by-step explanation:

The convict has a head start of ...

  distance = speed × time

  distance = (8 mi/h) × (14 h) = 112 mi

That distance is being closed at a rate that is the difference between the speeds, so ...

  64 mi/h -8 mi/h = 56 mi/h

The time it takes the guards to catch the convict will be ...

  time = distance/speed

  time = (112 mi)/(56 mi/h) = 2 h

The guards and prisoner will be at a distance from the prison of ...

  distance = speed × time

  distance = (64 mi/h)(2 h) = 128 mi

The convict will be caught 128 miles from the prison.

__

<em>Check</em>

The convict will run an additional (8 mi/h)(2 h) = 16 mi after the guards start pursuit. That, in addition to the 112 miles already run, will total 112+16=128 miles, the same distance the guards travel in that 2 hours.

8 0
3 years ago
Jeff is 18 years older than Joe, and Jeff is also 2 1/2 times as old as Joe. How old is Joe?
Yuri [45]

7 years

First of all, half of 18 is 9, and if you divide 18 by 2.5, it results in 7.2. I hope this helps!

6 0
3 years ago
A, B, and C are collinear, and B is between A and C. The ratio of AB to BC is 1:4.
schepotkina [342]

Let point C has coordinates (x_C,y_C). Consider vectors

\overrightarrow{AB}=(x_B-x_A,y_B-y_A)=(8-9,6-9)=(-1,-3),\\ \\\overrightarrow{BC}=(x_C-x_B,y_C-y_B)=(x_C-8,y_C-6).

Since the ratio AB to BC is 1:4, you have that

\dfrac{-1}{x_C-8}=\dfrac{1}{4}\quad \text{and}\quad \dfrac{-3}{y_C-6}=\dfrac{1}{4}.

Find x_C and y_C:

x_C-8=-4,\\ \\x_C=-4+8=4,\\ \\y_C-6=-3\cdot 4=-12,\\ \\y_C=-12+6=-6.

Answer: C(4,-6)

7 0
3 years ago
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HEYYYYYYYYYYY I NEED HELPPPPPP WILL GIVE BRAINLIST
tino4ka555 [31]

Answer:

1/3

Step-by-step explanation:

There are six triangles

2/6 of them are green

We can simplify this to 1/3

4 0
3 years ago
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