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Alex777 [14]
3 years ago
11

Given that y varies directly with x in the table below, what is the value of y if the value of x is 7?

Mathematics
2 answers:
Black_prince [1.1K]3 years ago
6 0
Write out the governing equation:

y = kx.

Take any point from the given table.  You haven't shared the table, so I will invent a point:  (2, 9).

Then find k:  k = 9/2        Then the equation becomes   y = (9/2)x.

Now let x = 7 and find y:                           y = (9/2)(7) = 63/2     

Answer:         y = 63/2
Nat2105 [25]3 years ago
4 0

Answer:

B. 42

Hope this helps!

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A right rectangular prism's edge lengths are 14 inches, 6 inches, and 3 1/3 inches. How many unit cubes with edge lengths of 2/5
DochEvi [55]

ANSWER

4375 unit cubes

EXPLANATION

The volume of a right rectangular prism is given by;

V=lbh

We substitute the given dimension to obtain,

V=14 \times 6 \times  \frac{10}{3}  = 280i {n}^{3}

The volume of the unit cube with edge lengths

\frac{2}{5}

is

(\frac{2}{5})^{3}  =  \frac{8}{125}  {in}^{3}

To find the number of unit cubes that can fit inside the prism, we divide the volume of the rectangular prism by the volume of the unit cube.

=  \frac{280}{ \frac{8}{125} }

= 4375

7 0
3 years ago
Can you simplify 3(x+2) = 3x+6 in distributive property
Vanyuwa [196]

Hello XD

3(x+2) = 3x+6

Distributive property

(3)(x)+(3)(2) = 3x+6

3x+ 6 = 3x+6

Now subtract 3x from both sides

3x+6-3x = 3x+6-3x

6=6

Subtract 6 from both sides

6-6 = 6-6

0=0

In this case the answer is : All real numbers are solution

3 0
3 years ago
Read 2 more answers
You have 24 months left until you graduate and you plan on buying yourself a new $20,000 car on graduation day. If you invest $3
shusha [124]

Answer: No, the money won't be enough to buy the car

Step-by-step explanation:

you plan on buying yourself a new $20,000 car on graduation day and graduation day is 24 months time. If you invest $300 a month for the next 24 months.

The principal amount, p = 300

He is earning 4% a month, it means that it was compounded once in four months. This also means that it was compounded quarterly. So

n = 4

The rate at which the principal was compounded is 4%. So

r = 4/100 = 0.04

It was compounded for a total of 24 months. This is equivalent to 2 years. So

n = 2

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount that would be compounded at the end of n years.

A = 300(1 + (0.04/4)/4)^4×2

A = 300(1 + 0.01)^8

A = 300(1.01)^8

A = $324.857

The total amount at the end of 24 months is below the cost of the car which is $20000. So he won't have enough money to buy the car

3 0
4 years ago
Write the equation in slope-intercept form of a line with slope -2 that passes through the point (1.-7)
tiny-mole [99]

Answer:

y=-2x-5

Step-by-step explanation:

y-y1=m(x-x1)

y-(-7)=-2(x-1)

y+7=-2x+2

y=-2x+2-7

y=-2x-5

6 0
3 years ago
Let P=x^2+6<br> PLEASE SHOW WORK!!<br> 15 POINTS
stellarik [79]

Answer:

Step-by-step explanation:

P = x^2 + 6

(x^2+6)^2 - 21 = 4x^2 + 24\\(x^2+6)^2 - 4x^2 - 45 = 0

Solving for 4x^2:

P = x^2 +6

P - 6 = x^2

4(P - 6) = 4x^2

Substitution:

p^2 - 4p - 24 - 45 = 0\\p^2 -4p - 69 = 0

4 0
3 years ago
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