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vlada-n [284]
3 years ago
10

15. Jessica is trying to hire a babysitter that charges less than $10 per hour (not including any extra fees).

Mathematics
1 answer:
tresset_1 [31]3 years ago
7 0

Answer:

A. and B.

Step-by-step explanation:

A. $34 - $10= $24 hourly fee divided by 3= $8 per hour.

B. $66 - $12= $54 hourly fee divided by 6= $9 per hour.

C.$92-$8= $84 hourly fee divided by 7= $12 per hour.

D. $52.5-$0= $52.5 hourly fee divided by 3.5= $15 per hour.

E. $112-$2=$110 hourly fee divided by 5.5= $20 per hour.

So Mia and Alex are the cheapest .

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What is the value of x to the nearest degree?
Marrrta [24]

Answer:

Step-by-step explanation:

This is right triangle trig.  The side opposite the x is 8, and the side adjacent to the x is 5.  The tangent ratio uses those sides.  We need to find what angle has a tangent of 8/5.  To do this, make sure your calculator is in degree mode.  Then hit "2nd" then tan and you will see tan with a little -1 and a parenthesis.  Enter 8/5 and hit "enter" and you will get an angle measure of 57.9946.  Rounded to the nearest degree this is 58 degrees.  That's your answer!

8 0
3 years ago
Read 2 more answers
Solve the equations if possible <br><br> * -5×=×+6(1-×)<br><br> *(2×-5)²=(2×-1)(2×+1)-10(2×-1)
Allushta [10]
-5x = x + 6(1-x)

-5x = x + 6(1) + 6(-x)
-5x = x + 6 -6x
-5x = x - 6x + 6
-5x = -5x + 6
-5x + 5x = 6
0 = 6  Not equal. No solution.

(2x-5)² = (2x-1)(2x+1) -10(2x-1)
(2x-5)(2x-5) = (2x-1)(2x+1) - 20x + 10
2x(2x-5)-5(2x-5) = 2x(2x+1)-1(2x+1) - 20x + 10
4x² - 10x -10x + 25 = 4x² + 2x - 2x -1 - 20x + 10
4x² - 20x + 25 = 4x² - 20x - 1 + 10
4x² - 20x + 25 = 4x² - 20x - 9

Not equal. No solution.

8 0
3 years ago
If i am dtiving 8 miles at 55 miles per hour how long willnit take
anyanavicka [17]

Answer:

It takes 0.145 hours

Step-by-step explanation:

Given:

Distance  = 8 miles

Speed = 55 miles per hour

To Find:

Time taken = ?

Solution:

The time taken for an object to travel a particular distance  with  a  average speed can be found by

\text{Time Taken} = \frac{distance}{ speed}

Now Substituting the given values , we get

\text{Time Taken} = \frac{8}{55}

\text{Time Taken} = 0.145

Time taken will be 0.145 hours

3 0
3 years ago
PLESE HELP GEOMETERY
nalin [4]

In this problem, you must use SohCahToa which basically means:

Sin - opposite over hypotenuse

Cosine - adjacent over hypotenuse

Tangent - Opposite over hypotenuse


So in this picture we have 4 -which is on the opposite side of x - and a 5 -which is the hypotenuse of the triangle. This means we must use sin.

Using a calculator you put in:

sin^{-1} (\frac{4}{5} )

Your answer is 53.13 degrees

4 0
3 years ago
Determine
mihalych1998 [28]

Answer:

=4.+2.

Step-by-step explanation:

<u>Linear Combination Of Vectors </u>

One vector \vec b is a linear combination of \vec a_1 and \vec a_2 if there are two scalars x_1, x_2 such as

\vec b=x_1\vec a_1+x_2\vec a_2

In our case, all the vectors are given in R^3 but there are only two possible components for the linear combination. This indicates that only two conditions can be used to determine both scalars, and the other condition must be satisfied once the scalars are found.

We have

\vec a_1=,\ \vec a2=,\ \vec b=

We set the equation

=x_1.+x_2.

Multiplying both scalars by the vectors

=+

Equating each coordinate, we get

4x_1-4x_2=8

5x_1+3x_2=26

-4x_1+3x_2=-10

Adding the first and the third equations:

-x_2=-2

x_2=2

Replacing in the first equation

4x_1-4(2)=8

4x_1=8+8

x_1=4

We must test if those values make the second equation become an identity

5(4)+3(2)=20+6=26

The second equation complies with the values of x_1 and x_2, so the solution is

=4.+2.

8 0
3 years ago
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