MATHEMATICS MIDDLE SCHOOL

A babysitter charges 25% more than her normal hourly rate on Saturday night. Her normal hourly rate is $12.50.Which expression represents how much the babysitter charges on Saturday night?

A.$12.50*5/4


B.$12.50*7/4


C.$12.50*1/4


D.$12.50*3/4

Answers

Answer 1
Answer: The expression that would represent how much she charges on Saturday night is 12.50 x 1/4. 

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1.Find the constant of variation for the relationship f(x)= 30x.  A.10  B.30  C.x  D.f(x)
2.Find the constant of variation for the relationship shown in the following table:
 x 1 2  3  4
y 4  8 12 16   

A.1  B.2  C.3  D.4

3.If f(x) varies directly with x, and f(x) = 8 when x = 6, write the direct linear variation equation.  A. f(x) = x  B.f(x) = 6x  C.f(x) = 8x  D.f(x) = x

4.If f(x) varies directly with x, and f(x) = 56 when x = 8, find the value of f(x) when x = 2  
A.4  B.7  C.8  D.14

5.Which does not show a direct variation between x and y? 
 A.y =   B.y = 2x  C.y = 0.5x  D.y = 

Answers

(1)\n f(x)=30x\ \ \ \Leftrightarrow\ \ \ (f(x))/(x) =30\ \ \ \Rightarrow\ \ \ constant=30\ \ \ \Rightarrow\ \ \ Ans.\ B.\n\n(2)\nconsatnt= (y)/(x) = (4)/(1) =4\ \ \ \Rightarrow\ \ \ Ans.\ D.\n\n(3)\nf(x)=m\cdot x\ \ \ and\ \ \ f(6)=8\n\nm\cdot6=8\ \ \ \Rightarrow\ \ \ m= (8)/(6) = (4)/(3) \ \ \ \Rightarrow\ \ \ y= (4)/(3)x\ \ \ \ Ans.\ (?)

(4)\nf(x)=m\cdot x\ \ and\ \ f(8)=56\n\nm\cdot8=56\ \ \Leftrightarrow\ \ m= (56)/(8) =7\ \ \Rightarrow\ \ \ f(x)=7x\ \ \ \Rightarrow\ \ \ f(2)=7\cdot2=14\n\nAns.\ D.\n\n(5)\ndirect:\ \ y=m\cdot x\ \ \ and\ \ \ m\in R\ne.g.:\ \ y=2x,\ \ y=0.5x,\ \ y= (x)/(7)= (1)/(7)x,\ ...\n\nNOT\ direct:\ \ \ e.g.:\ \ y= √(x) ,\ \ y= (1)/(x),\ \ y=x^2,\ ...

the answer is D i have this test and its the right answer for 2 reasons

1,its the only thing that looks like english

2,its always the right answer in anime logic

Where did the 2 come from and explain how you would write a division sentence

Answers

Chris is wrong. He added his 2 instead of carrying it. So the 2 came from when he was multiplying 6 x 4 (witch is 24). But the correct answer to that problem would be 648. 

Hope this helped

line DE contains the points D(-1,-4) and E (3,3). Line FG contains the point F (-3,3).Which set of coordinates for point G makes the two lines perpendicular

Answers

The answer would be (-3,-7)

X+19=13


Find the value of x.

Answers

to find the value of x we need to use the INVERSE OPERATION of addition which is subtraction. Then we will check our work. lets do it:- 

x + 19 = 13
x = ?
13 - 19 = x 
13 - 19 = -6
x = - 6

CHECK OUR WORK:-
 
x + 19 = 13
x = -6
-6 + 19 = 13 
We were RIGHT!!

So, x = -6

Hope I helped ya!! xD 

What is one sixth plus one fourth?

Answers

1/6 + 1/4 = 5/12
(1/6)*2 + (1/4)*3 
2/12 + 3/12
(2+3)/12
5/12

Knitting: You are knitting a blanket. You want the area of the blanket to be 24ft^2. You want the length of the blanket to be 2 feet longer than the width. What should the dimensions of the blanket be?

Answers

You can use factors to solve.  Determine all the factor pairs of 24, find the two that are two numbers apart.
1, 24 X
2, 12 X
3, 8 X
4, 6 YES!


Algebraic way to solve using Quadratics:
l = 2 + w

A = lw

A = (2 + w)w  Substitute (2 + w) for l

24 = (2 + w)w  Substitute 24 in for the area

24 = 2w + w^2  Distribute

w^2 + 2w - 24 = 0  Set equal to 0 (put in standard form)

(w + 6) (w - 4) = 0  Factor

w + 6 = 0  and w - 4 = 0    Set each factor equal to 0.

So w= -6 or w = 4 ... -6 makes no sense for a length!  So the width must be 4 and the length will be 4 + 2, which is 6.
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