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Inga [223]
3 years ago
9

Leticia charges $8 per hour to babysit. She babysat Friday night for 4 hours,

Mathematics
2 answers:
Dmitriy789 [7]3 years ago
7 0

For this case we have that the variable "x" represents the number of hours that Leticia uses to take care of children on Saturday.

IF on Friday I use 4 hours ($ 8 each) and on Saturday "x" hours ($ 8 each) obtaining a profit of $ 72, we have the following equation:

8 (4 + x) = 72

We apply distributive property:

32 + 8x = 72\\8x = 72-32\\8x = 40\\x = \frac {40} {8}\\x = 5

So, on Saturday she spent 5 hours.

Answer:

8 (4 + x) = 72\\x = 5

Andre45 [30]3 years ago
6 0

Answer:

Option A.

Option  C.

Step-by-step explanation:

Let be "x" the amount of hours  Leticia babysat on Saturday.

We know that she charges $8 per hour to babysit, she babysat Friday night for 4 hours and the total amount of money she earned on those two days was $72. Knowing this, we can set up the followin equation models this situation:

8(4+x)=72

Finally, we must  solve for "x":

8(4+x)=72\\\\32+8x=72\\\\8x=72-32\\\\8x=40\\\\x=\frac{40}{8}\\\\x=5

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3 years ago
An aeroplane at an altitude of 200m observes the angle of depression of opposite points on the two banks of a river to be 45 and
blagie [28]

Answer:

  84.5 m

Step-by-step explanation:

It is often helpful to draw a diagram for word problems involving geometric relationships. One for this problem is shown below.

The mnemonic SOH CAH TOA reminds you of the relationship between sides of a right triangle:

  Tan = Opposite/Adjacent

Here we're given angles of depression measured from the horizontal (as shown in the diagram), but it is more convenient to use angles measured from the vertical. In particular, ∠BAO is the complement of 60°, and its tangent is the ratio OB/OA:

  tan(30°) = OB/OA

  OB = (200 m)·tan(30°) ≈ 115.47 m . . . . . . multiply by OA, use OA=200 m

Likewise, we have ...

  OC = (200 m)·tan(45°) = 200 m

Then the width of the river is the difference between these values:

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4 0
3 years ago
Please help! if abcd is dilated by a factor of 3, the coordinate of b would be
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Answer:

(-6, 6)

Step-by-step explanation:

The coordinates of B to start with is

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To dilate this by a factor of 3....

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The new coordinates of B' would be

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A few things to know:

- The number 3 is called a "<u>scale factor</u>"

- Dilation means we are multiplying all the (X, Y)'s by the scale factor

- If the scale factor is <u>greater than 1</u>, the size of the shape overall increases

- If the scale factor is <u>less than 1</u>, the size of the shape overall decreases

- If the scale factor is <u>negative</u>, the shape size stays the same. The shape just rotates 180 degrees and moves to the opposite quadrant.

7 0
3 years ago
Read 2 more answers
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