What is 8(3 + a) = 64
a =

p = 100

Step-by-step explanation:

\(\begin{aligned}\tt\dfrac{20}{p}&=\tt\dfrac{2}{10}\\\tt 2p&=\tt 20\cdot 10\\\tt 2p&=\tt 200\\\tt p&=\tt\dfrac{200}{2}\\\tt p&=\tt 100\end{aligned}\)

Answer:

B. 3188.5 cubic inches.

Step-by-step explanation:

The volume of a cone is calculated using the following formula:

Volume = (1/3) * π * r² * h

Where:

In this problem, we are given that r = 17 inches and S.h = 20 inches.

First we need to find height h.

py using Pythagorous theorem,we get

c²=a²+b²

here c= slight height and a is radius

20²=17²+b²

20²-17²=b²

111=b²

b=√(111)

Plugging these values into the formula, we get:

Volume = ⅓*π* 17² *√(111) = 3188.5 cubic inches

Therefore, the volume of the cone is 3188.5 cubic inches.

Answer:

mais age is 13

Step-by-step explanation:

104 divided by 8 is 13

Step-by-step explanation:

22.99 × 2 + 2.02 + 16 × 2 + 26= $106

The linear equation written in the slope-intercept form is:

y = (-3/5)*x

The correct option is C.

A general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

Here we can see that the line crosses through the poin (0, 0), so the y-intercept is 0.

b = 0

y = a*x + 0

y = a*x

To find the value of a, we can use another point on the graph.

We can see that the linear equation passes through (5, - 3), replacing these values:

-3 = a*5

-3/5 = a

Then the linear equation is just:

y = (-3/5)*x

The correct option is C.

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Answer:

The 2nd option is correct.

i.e.

y = 10+1, because the rate of change of the graphed function is 3.

Step-by-step explanation:

From the graph,

Taking two points

Finding the rate of change or slope between (0, 0) and (3, 9)

Using the formula

Rate of change = Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [9 - 0] / [3 - 0]

               = 9 / 1  

               = 3

Thus, the rate of change or slope of the line = m = 3

The slope-intercept form of the line equation

\(y = mx+b\)

where

Considering the function in 2nd option

y = 10x+1

Comparing with the slope-intercept form of the line equation y = mx+b

The rate of change or slope = m = 10

Conclusion:

The rate of change or slope of the graphed line: m = 3

The rate of change or slope of y = 10x+1 is: m = 10

Thus, the rate of change of y = 10x+1 i.e. m = 10 is greater than the rate of change of the graphed line i.e. m = 3.

Hence, the 2nd option is correct.

i.e.

y = 10+1, because the rate of change of the graphed function is 3.

Answer: A roll of 150 nickels is $300 :)

Answer:

i belive its 34% becouse you are saveing 170 dollars

Answer:

The probability is 0.857

Step-by-step explanation:

We know that:

There is a total of 440 cars

There are 63 cars with defective turn signals

There are 39 with defective tires.

Now we want to find the probability that a randomly selected car does not have defective turn signals.

If all the cars have the same probability of being selected, this probability will be equal to the quotient between the number of cars that do not have defective turn signals and the total number of cars.

We know that the total number of cars is 440

And 63 of these have defective turn signals, then the rest don't.

440 - 63 = 377 cars do not have defective turn signals.

Then the probability is:

P = 377/440 = 0.857

Answer:

(18x13)-8+1387-(5,800,732,812x65)= -377047631167

Step-by-step explanation:

Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.

Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.

Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;

let x represent the number of years from now when the sum of square of their respective age will be

45.(x + 2)² + (x + 5)² = 45

Expanding the brackets;

x² + 4x + 4 + x² + 10x + 25 = 45

2x² + 14x + 29 = 45

2x² + 14x + 29 - 45 = 0

2x² + 14x - 16 = 0

Solving the quadratic equation for x;

x = 1, x = -8

Taking the positive value, the value of x is 1

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For the given Circumference, the radius of the circle is 364.50 feet, and diameter is 729 feet.

The circumference of a circle or ellipse in geometry is its perimeter. That is, if the circle were opened up and straightened out to a line segment, the circumference would be the length of the arc. The curve length around any closed figure is more often referred to as the perimeter.

A circle's circumference is equal to two times its radius or diameter, where r is the radius and d is the diameter. Where r is the circle's radius, the area of a circle is equal to πr2

The Circumference of the circle is 2289.1 sq. feet,

Circumference = 2πr

2289.1 = 2 π r

⇒ 2289.1 = 2 × 3.14 × r

⇒ r = 2289.1 / 6.28

⇒ r = 364.50

We know, Diameter = 2 × Radius

⇒ Diameter = 2 × 364.50 = 729

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Answer:

6x-24

Step-by-step explanation:

The 6 multiplies each part in the parenthesis. So 6 * x = 6x and 6 * -4 = -24

The total volume of 3:12 is 90 gallons  

In math, the term Ratio is used to compare two or more numbers or quantities. It indicates how small or big a quantity is when compared to each other. In a ratio, the comparison between two values is done by using division.  

Here we have    

54 gallons is the volume of 2:7

=> As we know 2+7 = 9

Therefore, for 9 parts = 54 gallons of volume

=> 1 part = 54/9 = 6 gallons of volume

Here we need to find 3: 12

For 3 parts = 3 × 6 gallons of volume = 18 gallons

For 12 parts = 12 × 6 gallons of volume = 72 gallons

=> total volume = 18 gallons + 72 gallons = 90 gallons

Therefore,

The total volume of 3:12 is 90 gallons  

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Answer:

3.581076 × 10^6

Step-by-step explanation:

Your number is 3,581,076 now go 6 places towards the left that gives your answer.

Hope that helps

The rate at which shadow is decreasing On a morning of a day when the sun will pass directly overhead, the shadow of an 80-ft building on level ground is 60 ft long and is 10.4 inches per minute.

Given,

Height of the building, \(h\) = 80 ft = 960 inches

Length of shadow, \(x\) = 60 ft = 720 inches

The angle that the sun makes with the ground is increasing,

\(\frac{d\theta}{dt} = 0.27\) degree \(= \frac{3\pi }{2000} rad/min\)

\(tan\theta = \frac{960}{x} \\\frac{d }{dy} tan\theta = \frac{d}{dy} \frac{960}{x} \\sec^{2}\theta \frac{d\theta }{dt} = -\frac{960}{x^{2} } \\\\\frac{dx}{dt} = \frac{(60^{2})(\frac{5}{3})^{2} }{960} \\\\\\\frac{dx}{dt} = 10.4 inches /min\)

Hence, the shadow is decreasing at a rate of 10.4 inches per minute.

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Answer:

b.8

Step-by-step explanation:

2/3 = x/12

8/12 = x/12

x = 8

Answer:

x=-1

Step-by-step explanation:

Answer: 31 is No   35 is Yes    28 is No     36 is Yes

Answer:

a = 8 (to nearest whole number)

Step-by-step explanation:

Given:

m<B = 36°

m<C = 104°

c = 12

Required:

a

SOLUTION:

✔️First find m<A:

m<A = 180 - (104 + 36)

m<A = 40°

✔️Find a using Sine Rule:

Thus:

\( \frac{a}{sin(A)} = \frac{c}{sin(C)} \)

Plug in the values

\( \frac{a}{sin(40)} = \frac{12}{sin(104)} \)

Multiply both sides by sin(40)

\( \frac{a}{sin(40)} * sin(40) = \frac{12}{sin(104)} * sin(40) \)

\( a = \frac{12*sin(40)}{sin(104)} \)

\( a = 8 \) (nearest whole number)

Answer:

D. y = 9/4x

Step-by-step explanation:

First, find the gradient or slope, m

m = change in y ÷ change in x

m = (0 - -9) ÷ (0 - -4)

m = 9 ÷ 4 = 9/4

There is no y intercept, since the line goes through the origin (0,0)

y = 9/4x

Answer:

D.) y=9/4x

Step-by-step explanation:

The graph that I did has the line going through (0,0) and (-4,-9), like the question states.

Answer:

$420

Step-by-step explanation:

You just say commission = 6% of $7000

commission = (6/100) * 7000

commission = 0.06 * 7000 = $420

Answer:

$420

Step-by-step explanation:

6/100 x 7000 = 420

Al stop app weep woop so eery ya wet

Answer:

A

Step-by-step explanation:

the answer is

x+15=28

x=28-15

x= 13

Answer:

A

Step-by-step explanation:

x+15=28

move 15 to the other side

and change the + to -

x=28-15

x=13

Answer:

8 is the number

Step-by-step explanation:

I don't know why it took me so long to figure it out, 4 x 8 = 32 32 + 15 = 47

It probably took me a really long time because I am tired, and I am not using a calculator.

Answer:

First, if we look at these angles, we can see that they are vertical.

Vertical angles are congruent(meaning they measure the same degrees).

So let's set up an equation where -2x - 6 is equal to 40°, because they are vertical angles.

-2x - 6 = 40°

Solve for x!

Get rid of constants by performing the inverse operation of subtraction which is addition(because 6 is negative).

Make sure to apply this to both sides!!

(Add 6 to both sides)

+6           +6

-2x = 46

Now, we isolate x by getting of x's co-efficient.

To do that, we also perform the inverse operations.

The inverse operation of multiplication is division (since -2 is being multiplied by x).

(Divide -2 from both sides)

÷ -2 ÷ -2

x = -23

Therefore, x measures -23°.

Answer:

x = -23

Step-by-step explanation:

Vertical Angle Theorem

A pair of opposite angles formed by intersecting lines.

Vertical angles are congruent.

⇒ -2x - 6 = 40

Add 6 to both sides:

⇒ -2x = 46

Divide both sides by -2

⇒ x = -23