If y varies directly as x, and y is 6 when x is 72, what is the value of y when x is 8?


1/9
2/3
54
96

Answer:

Step-by-step explanation:

Answer:

The answer lies between 9 and 10.

Step-by-step explanation:

It is given that:

Pounds of cans to be collected = 65 pounds

Number of days = 7

Cans per day = [tex]\frac{Total\ pounds}{Days}[/tex]

Cans per day = [tex]9\frac{2}{7}[/tex]

As 2/7 is less than one.

Therefore,

The answer lies between 9 and 10.

Answer:

a. -2x-1

Step-by-step explanation:

hope this helpsss!!

Answer:

x=60+70=130(exterior angle of a triangle is equal to the sum of two opposite interior angle)

Answer:

add 7 on both sides. b-7+7=12+7 to eliminate 7. you get b=19. hope this helps.

Answer:

37.5%

Step-by-step explanation:

40-x%*40=25

x%40=15

x%=15/40=37.5%

Answer:

A = 48.81°

Step-by-step explanation:

Angles in a Right Triangle

When the side lengths of a right triangle are known and an angle must be determined, we can use the trigonometric ratios that relate angles and sides.

The tangent ratio is defined as:

[tex]\displaystyle \tan A=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]

Opposite leg to angle A is 8 and adjacent leg is 7, thus:

[tex]\displaystyle \tan A=\frac{8}{7}[/tex]

Using the inverse tangent funcion:

[tex]\displaystyle A=\arctan\frac{8}{7}[/tex]

Calculating:

A = 48.81°

Answer:

There are 2

(6 2/5, -6 2/5)

(8 3/5, 4 2/5)

Step-by-step explanation:

Answer:

Remember that the gradient is equivalent o the derivative evaluated in one point.

And remember that if we have a function like:

f(x)  a*x^n

The derivative is:

f'(x) = n*a*x^(n - 1)

Then knowing this, let's start:

a) y = x^2

the derivative is:

y' = 2*x

And we want to evaluate this in the point (3, 9), then we just need to replace x by 3.

y'(3) = 2*3 = 6

The gradient of y = x^2 at (3, 9) is 6.

b) y = -4*x^3

The derivative is:

y' = 3*(-4*x^2) = -12*x^2

And we want to evaluate this on (1, -4), then we need to replace x by 1.

y'(1) = -12*1^2 = -12

The gradient of y = -4*x^3 at (1, -4) is -12.

c) y = 2*x^4

The derivative is:

y' = 4*2*(x^3) = 8*x^3

And we want to evaluate this on (-1, 2), then we need to replace x by -1.

y'(-1) = 8*(-1)^3 = -8

The gradient of y = 2*x^4 at the point (-1, 2) is -8

d) y = 6*x

The derivative is:

y' = 6

We can see that here we do not have any dependence on x, so the gradient will be the same for all values of x, this means that the gradient at the point (2, 12) is 6.

Answer:42.55$

Step-by-step explanation:

Answer:

You tip would be $5.55. The total would be $42.55

Step-by-step explanation:

.

Answer: B.) $6,000

Step-by-step explanation:

The equation shows how much Jordan has to pay per month until he is finished paying the loan.

This is a linear equation in the form: y = mx + c

y is the amount left to be paid

m is the change per month which means it is the amount paid per month

x is the independent variable that is changed which means it is the no. of months

c is a constant figure which in this case would be the amount borrowed.

With c being the amount borrowed as it is the constant in the equation, c in the equation must be 6,000 as this is the only constant.

The original amount of loan must therefore be:

= $6,000

Answer:

14 9/12

Step-by-step explanation:

Add the whole numbers then try to come up with a common denominator.

Answer:

7x-32

Step-by-step explanation:

y-y1 = m(x-x1)

y-3 = 7(x-5)

y-3 = 7x-35

y=7x-35+3

y=7x-32

Answer:

Symmetric Property

Step-by-step explanation:

If a=b then b=a

If k = 3, then 3 = k

Answer:

she would need like 2cups of sugar

Answer:

381 ft

Step-by-step explanation:

first get the area of the kitchen

22 x 18= 396 ft

now get the area of the island which is 3x 5= 15 ft

to know how much she would need to cover (not including the island), subtract 396 to 15

that would be 381 ft

Answer:

The first one is complementary and the second one is supplementary, the third and fourth are neither.

Step-by-step explanation:

Answer:

The first picture is Complementary, the second picture is neither, and the third picture is supplementary

Step-by-step explanation:

The first picture is complementary because both angles measure 90 degress,  the second picture is neither because both angles do not add to a 90 or 180 sum. and the third picture is supplementary because both angles measure 180 degress.

Answer:

0.5, 0.25, 0.125

Step-by-step explanation:

its simply divided by 2

Answer:

[tex]\frac{1}{2}[/tex], [tex]\frac{1}{4}[/tex], [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

There is a common ratio between consecutive terms in the sequence, that is

r = 8 ÷ 16 = 4 ÷ 8 = 2 ÷ 4 = 1 ÷ 2 = [tex]\frac{1}{2}[/tex]

Thus any term can be found by multiplying the previous term by [tex]\frac{1}{2}[/tex]

a₆ = [tex]\frac{1}{2}[/tex] × a₅ = [tex]\frac{1}{2}[/tex] × 1 = [tex]\frac{1}{2}[/tex]

a₇ = [tex]\frac{1}{2}[/tex] × a₆ = [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{4}[/tex]

a₈ = [tex]\frac{1}{2}[/tex] × a₇ = [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{4}[/tex] = [tex]\frac{1}{8}[/tex]

Answer:

OK???

Step-by-step explanation:

x: -2,-1,0,1,2

y:-18,-9,0,9,18

Answer:

25+3(a−5)+7a.

25+3a-15+7a

7a+3a+25-15

10a+10

10(a+1)

Answer:

112in^2

Step-by-step explanation:

area of square = 10*10

                        = 100in

area of triangle = (6*4)/2

                          = 12in

100+12= 112

area of shape = 112in

Answer:

The area of the figure is 112

Step-by-step explanation:

For area, you multiply length x width

For the triangle, you do HALF THE BASE x height

So for the square, it's fairly simple

10 x 10 = 100

For the triangle, it's a bit more complicated

So we know the length of the square is 10 inches

And we see a 6 inch mark at the top of the square, showing where the square ends and the triangle begins

So the base of the triangle is 10 - 6 = 4 inches

Also, the overall height of the figure is 16 inches, and the height of the square is 10 inches

So the height of the triangle is 16 - 10 = 6 inches

So 4 is the base of the triangle

And 6 is the height of the triangle

So we half 4, which gives us 2

2 x 6 = 12

The area of the triangle is 12

And we already determined that the area of the square is 100

100 + 12 = 112

The area of the whole figure is 112

Answer:

1/x17

Step-by-step explanation:

the first one on the left

Answer:

3/4

Step-by-step explanation:

Answer:

3/4 - 1 1/2 = -3/4

x = 3

-4x - (-3 - 5x) =  -3(2x - 8)

x + 3 = -6x + 24

x + 3 - 3 = -6x + 24 --3

x = -6x + 21

x + 6x = -6x + 6x + 21

7x = 21

7x / 7 = 21 / 7

- PNW

If the value of x is 3 then the equation  -4x-(-3-5x)= -3(2x-8) will be true.

Two or more expressions with an Equal sign is called as Equation.

The given equation is -4x-(-3-5x)= -3(2x-8)

We need to find the value of x which makes the equation as true.

Minus four times of x minus of minus three minus five times of x equal to minus three times of two x minus eight.

-4x-(-3-5x)= -3(2x-8)

-4x+3+5x= -6x+24

Take all the terms to the left hand side

-4x+3+5x+6x-24=0

Add the like terms

7x-21=0

Add 21 on both sides

7x=21

Divide both sides by 7

x=3

Hence, if the value of x is 3 then the equation  -4x-(-3-5x)= -3(2x-8) will be true.

To learn more on Equation:

https://brainly.com/question/10413253

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