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lara31 [8.8K]
3 years ago
6

Juan charges $3.50 per hour for babysitting. Write a rule to describe the amount of money (M) earned is a function of the number

of hours (h) spent baby-sitting. HELP PLEASE
Mathematics
1 answer:
ratelena [41]3 years ago
6 0
M(earned money)=h(worked hours)*$3.50
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HELP ASAP!!!!!!!!PLEASE<br><br> Solve for x. Please explain. Thank you
Stella [2.4K]

The values are x=8 and y=10

Explanation:

From the figure, we can see that the two quadrilaterals are similar.

Thus, by the property of quadrilateral, for similar quadrilaterals, their corresponding angles and sides are congruent. Thus, we have,

∠D = ∠S, ∠E = ∠P, ∠G = ∠R and ∠F = ∠Q

Also, GF = QR and DE = PS

Where QR = 2x-4 and ∠D = 102°, ∠G = 84° and ∠F = 68°, ∠Q = (6y+x)°

Hence, to determine the value of x for the side QR, we have,

Equating the values in GF = QR,we get,

12=2x-4\\16=2x\\8=x

Thus, the value of x is 8.

Substituting x in the angle Q to determine the value of y.

Thus, we have,

∠F = ∠Q

68=6y+x\\68=6y+8\\60=6y\\10=y

Thus, the value of y is 10.

Hence, The values are x=8 and y=10

8 0
3 years ago
Which equation is parallel to the line LaTeX: y=\frac{1}{2}x+3y = 1 2 x + 3and passes through the point (10, -5)?
sukhopar [10]

Answer:

Equation\ of\ line:\ y=\frac{1}{2}x-10

Step-by-step explanation:

Let\ the\ required\ equation\ is\ y=mx+c\\\\where\ m\ is\ the\ slope\ of\ the\ equation\ and\ c\ is\ y-intercept\\\\It\ is\ parallel\ to\ the\ equation\ y=\frac{1}{2}x+3\\\\Hence\ slope\ of\ these\ two\ lines\ will\ be\ same.\\\\Slope\ of\ y=\frac{1}{2}x+3\ is\ \frac{1}{2}\\\\Hence\ slope\ of\ y=mx+c\ is\ \frac{1}{2}\Rightarrow m=\frac{1}{2}\\\\Equation:y=\frac{1}{2}x+c\\\\Line\ passes\ through\ (10,-5).\ Hence\ this\ point\ satisfies\ the\ equation\ of\ line.\\\\-5=\frac{1}{2}\times 10+c

-5=-5+c\\\\c=-10

Equation\ of\ line:\ y=\frac{1}{2}x-10

8 0
2 years ago
Factor 21c+24.<br> Write your answer as a product with a whole number greater than 1.<br> use ()
Lera25 [3.4K]

Answer:

The required answer as a product with a whole number greater than 1 will be:

21c+24=3\left(7c+8\right)

Step-by-step explanation:

Given the expression

21c+24

Determining the factor

21c+24

  • Rewrite 24 as 3 · 8
  • Rewrite 21 as 3 · 7

so the expression becomes

21c+24=3\cdot \:\:7c+3\cdot \:\:8

Factor out the common term 3

             =3\left(7c+8\right)

Therefore, the required answer as a product with a whole number greater than 1 will be:

21c+24=3\left(7c+8\right)

5 0
3 years ago
P is the point with coordinates (3, 1)
earnstyle [38]

Answer:

c will be the answer mark me brainliest

3 0
3 years ago
the perimeter of a rectangle is 34 units. it’s width is 6.5 units. write the equation to determine the length of the rectangle
zubka84 [21]

Answer:

4 units

Step-by-step explanation:

Perimeter formula is P = 2L + 2W.  Here P = 34 units = 2L + 2(6.5 units).

Reducing this, 17 = L + 13.  Then L = 4 units.


4 0
3 years ago
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