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Anuta_ua [19.1K]
3 years ago
15

Two cars leave town at the same time going in the same direction on the same road.One travels 32 mi/h and the other travels 47 m

i/h.In how many hours will they be 69 miles apart?
Mathematics
1 answer:
gladu [14]3 years ago
3 0
In 4.6 hours they will be 69 miles apart 
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Select the correct answer.
Veronika [31]

Answer:

B

Step-by-step explanation:

let y = 5x - 3

rearrange making x the subject

add 3 to both sides

5x = y + 3 ( divide both sides by 5 )

x = \frac{y+3}{5}

change y back into terms of x, hence

f^{-1}(x) = \frac{x+3}{5} → B


4 0
3 years ago
QUESTION SHOWN ON PHOTO :)
worty [1.4K]

Answer:

A: -1/3x

Step-by-step explanation:

We can convert -1/3 to -2/6 by multiplying -1/3 by 2/2. As we know, 5-2 is 3. That makes 3/6. 3/6 is equivalent to 1/2. That means it has to be A.

6 0
3 years ago
Ky wants to buy three shirts, which were originally priced at $49.96 each. The store will discount the price of the 3rd shirt by
frozen [14]

9514 1404 393

Answer:

  $44.49

Step-by-step explanation:

The total cost before tax will be ...

  $49.96 +49.96 + 0.50(49.96) = $124.90

With tax added, the cost is ...

  $124.90 × 1.071 = $133.77

Then the average cost per shirt for the 3 shirts is ...

  $133.77/3 = $44.59

The mean cost of a shirt is $44.59.

5 0
2 years ago
Read 2 more answers
Evelyn is mixing light blue paint. The ratio of blue to white paint is 3:1. If Evelyn uses 6 parts blue paint. How much white pa
MAVERICK [17]

Answer:

2 parts white paint

Step-by-step explanation:

Blue : white

3      :    1

We use 6 parts blue

3 *2 =6

So multiply each part by 2

Blue : white

3*2   :    1*2

6       : 2

She uses 2 parts white paint

3 0
3 years ago
1) Given: circle k(O), ED= diameter ,m∠OEF=32°, m(arc)EF=(2x+10)° Find: x
qaws [65]

1. The major arc ED has measure 180 degrees since ED is a diameter of the circle. The measure of arc EF is (2x+10)^\circ, so the measure of arc DF is

m\widehat{DF}=360^\circ-180^\circ-(2x+10)^\circ=(170-2x)^\circ

The inscribed angle theorem tells us that the central angle subtended by arc DF, \angle DOF, has a measure of twice the measure of the inscribed angle DEF (which is the same angle OEF) so

m\angle DOF=2m\angle OEF=64^\circ

so the measure of arc DF is also 64 degrees. So we have

170-2x=64\implies106=2x\implies\boxed{x=53}

###

2. Arc FE and angle EOF have the same measure, 56 degrees. By the inscribed angle theorem,

m\angle EOF=2m\angle EDF\implies56^\circ=2m\angle EDF\implies m\angle EDF=28^\circ

Triangle DEF is isosceles because FD and ED have the same length, so angles EFD and DEF are congruent. Also, the sum of the interior angles of any triangle is 180 degrees. It follows that

m\angle EFD+m\angle EDF+m\angle DEF=180^\circ\implies\boxed{m\angle EFD=76^\circ}

Triangle OFE is also isosceles, so angles EFO and FEO are congruent. So we have

m\angle EFO+m\angle FEO+m\angle EOF=180^\circ\implies\boxed{m\angle EFO=62^\circ}

7 0
3 years ago
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