Simplify.

8(12 - p)

20 - (8+p)
96 - 8p
96 - p
96p

Answer:

Step-by-step explanation:

Hank paid $2,000 upfront when he bought his car, and he pays $200 each month.

This relationship is:  

This is not proportional.

Lynn did not pay any money upfront when she bought her car, and she pays $275 each month.

This relationship is:  

This is proportional.

So the answer is:

Answer:

56

Step-by-step explanation:

7 is a prime number

7*8 = 56

The least common denominator is 56

3/7 * 8/8 = 24/56

5/8*7/7 = 35/56

Answer:840  

Step-by-step explanation:

Answer:

52.6

Step-by-step explanation:

If you drew the triangle correctly, NO would be the hypotenuse (39), PO would be a leg of the triangle(31) and the other leg NP is unknown (we dont need to care about that too much).  To find angle N, we can use trig.  We can use sin to figure this out since we are given a side opposite to angle N and we are given the hypotenuse.  (sin=opposite/hypotenuse).  However, since we are trying to figure out the angle, we have to use arc sin or [tex]sin^{-1}[/tex] on the calculator.  So if we type [tex]sin^{-1}[/tex](31/39), we get 52.6

I can explain more if you dont understand

Answer:

23

Step-by-step explanation:

Answer:

$44

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

Answer:

a) Area of the base of the pyramid = [tex]15.6\ mm^{2}[/tex]

b) Area of one lateral face = [tex]24\ mm^{2}[/tex]

c) Lateral Surface Area = [tex]72\ mm^{2}[/tex]

d) Total Surface Area = [tex]87.6\ mm^{2}[/tex]

Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

Side of triangular base = 6mm

Height of triangular base = 5.2mm

Base of lateral face (triangular) = 6mm

Height of lateral face (triangular) = 8mm

a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. [tex]\text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\[/tex]

[tex]{\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}[/tex]

b) To find area of one lateral surface:

Base = 6mm

Height = 8mm

Using equation (1) to find the area:

[tex]\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}[/tex]

c) To find the lateral surface area:

We know that there are 3 lateral surfaces with equal height and equal base.

Hence, their areas will also be same. So,

[tex]\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}[/tex]

d) To find total surface area:

Total Surface area of the given triangular pyramid will be equal to Lateral Surface Area + Area of base

[tex]\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\ mm^{2}[/tex]

Hence,

a) Area of the base of the pyramid = [tex]15.6\ mm^{2}[/tex]

b) Area of one lateral face = [tex]24\ mm^{2}[/tex]

c) Lateral Surface Area = [tex]72\ mm^{2}[/tex]

d) Total Surface Area = [tex]87.6\ mm^{2}[/tex]

Answer:

Sample answer A triangular pyramid with an equilateral triangle for a base has four faces the equilateral triangular base and

three congruent isosceles triangular faces

Step-by-step explanation:

Answer:

G ≈ 1.46

Step-by-step explanation:

Given

G = [tex]\frac{R+ab}{at}[/tex] , substitute values

G = [tex]\frac{257 4.88(37.4)}{4.88(61.5)}[/tex]

   = [tex]\frac{257+182.512}{300.12}[/tex]

   = [tex]\frac{439.512}{300.12}[/tex] ≈ 1.46 ( to 2 dec. places )

Answer:

fractions

Step-by-step explanation:

Answer:

A number or ratio expressed as a fraction of 100

Step-by-step explanation:

Use outside of percentages but reused under 100 when explained.

Steepness of a hill or gradient of a line =   rise/run x 100

On a graph the numbers go from 0 for flat, to 100% at 45 degrees, to infinity as it approaches vertical.

Percentage is Tangent of a circle as where it meets it angle it always is intercepted by the circumference or new angle and becomes less than 180 as it forms a leg of a shape, or a side and 1% represents 100 x 0.01000033334% in Radians as another example. we multiply by 100 and get 1 Rad or a 180 degree line.  Broadness of usefulness in percentage is the ratio so 1% of a radian can be the decimal above, and 100% of 1 rad = 180/pi =57.2957 We find a semi-circle has an arc length of pi*r and also that it is 180 degrees. From that you can conclude that the number of degrees in a radian is 180/pi and shows 50% of the circle but 100% of 1 radian.

Answer:

#4: 4 hits

Step-by-step explanation:

At first, you are given the ratio 1/37 which you can scale to 148 by dividing and multiplying both by. So you divide 148/37 to reach 4 and then multiply 4 by 1 to find out that about four hits will prbably be made.

Answer:

the answer for number four is four and number five is 39

I am not sure about number 5 plz check                                                             somebody.

Step-by-step explanation:

Answer:

48 degrees

Step-by-step explanation:

A triangles degrees all add up to 180

so

180-90= 90 (90 is a square corner)

90-42= 48 (42 is the other known degree)

Answer:

The third one

Step-by-step explanation:

Its because we need to find the number that it has grown.

so we add the number that it grew to the size it was before.

Answer: 1.85 + x = 5.30

Step-by-step explanation: If we know that Ethan planted a tree that was 1.85 meters tall from the start and several years later it's 5.30 meters tall, we know that something must have been added to the 1.85 in order to get 5.30 meters tall. Since we don't know what that value is, we can use x.

X is an example of a variable. A variable is just a letter that represents any number so in this case, it represents how much the tree has grown over a time period of several years.

So we can write this as 1.85 + x = 1.30.

Answer:

Step-by-step explanation:

Answer:

answer: B

Step-by-step explanation:

Answer:

mmm 30

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

the area of square is 10²=100

Area of a circle is πr²=π(10/2)²=25π

100-25π=100-25*3.14=100-78.5=21.5

Step-by-step explanation:

Multiply 10 by 10, then find the area of the circle (78.54) then subtract, 100-78.54= 21.46. Then round. So its A. 21.5 meters squared

Answer:

The answer is x ^5

Answer:

(0,12)

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Answer:

What is the value of the discriminant of f?

0

How many x-intercepts does the graph of f?

1

Step-by-step explanation:

I promise you i just got this question and this is the answer

The discriminant of f is 0.

The function f has one intercept.

In the given quadratic function f(x) = 25x² - 10x + 1, the coefficients are:

a = 25

b = -10

c = 1

Now, let's calculate the discriminant:

Discriminant = b² - 4ac

            = (-10)² - 4 x 25 x 1

            = 100 - 100

            = 0

The value of the discriminant of f is 0.

If the discriminant is positive (greater than 0), the quadratic equation has two distinct real roots, which means the graph intersects the x-axis at two different points.

If the discriminant is zero, the quadratic equation has one real root, and the graph touches the x-axis at one point (or has a double root).

If the discriminant is negative, the quadratic equation has no real roots, and the graph does not intersect the x-axis.

In this case, since the discriminant is 0, the graph of f has one x-intercept (or one real root).

Learn more about Discriminant here:

https://brainly.com/question/33365847

#SPJ2

Answer:

100

Step-by-step explanation:

Because adjacent angles in a parallelogram are supplementary, angle 1 and 80 must add up to 180 degrees. Therefore, angle 1 is 180-80=100 degrees. Hope this helps!

Answer:

100

Step-by-step explanation:

Hope this helped!

Answer:

[tex]12n^4-15n^3-3n^2[/tex]

Step-by-step explanation:

The first step is to distribute the [tex]3n^2[/tex] to [tex](4n^2-5n-1)[/tex], like so:

[tex](4n^2-5n-1)[/tex][tex](3n^2)[/tex]

[tex]12n^4-15n^3-3n^2[/tex]

Answer:

y = -15.9x² + 110.48x + 3.02

initial velocity: 110.48 ft/s

initial height: 3.02 ft

time to cath the ball at 6 ft: 6.92

Step-by-step explanation:

In the picture attached, the plot of the data points and the equation of the best regression is shown, which correspond to a quadratic equation. (It was obtained using Excel)

The initial velocity is the second coefficient.

The initial height is the third coefficient.

Replacing y = 6 into the equation and solving with the quadratic formula:

6 = -15.9x² + 110.48x + 3.02

0 = -15.9x² + 110.48x + 3.02 - 6

0 = -15.9x² + 110.48x - 2.98

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex]x = \frac{-110.48 \pm \sqrt{110.48^2 - 4(-15.9)(-2.98)}}{2(-15.9)} [/tex]

[tex]x = \frac{-110.48 \pm 109.62}{-31.8} [/tex]

[tex]x_1 = \frac{-110.48 + 109.62}{-31.8} [/tex]

[tex]x_1 = 0.03[/tex]

[tex]x_2 = \frac{-110.48 - 109.62}{-31.8} [/tex]

[tex]x_2 = 6.92[/tex]

In the context of the problem, only x2 has sense.

Answer:

4x+9, 1st degree binomial

Step-by-step explanation:

It's already in standard form

Answer:

A

Step-by-step explanation:

Given 2 secants from a point outside the circle.

Then the product of the external part and the entire secant of one secant is equal to the product of the external part and the entire secant of the other secant, that is

(x + 1)(x + 1 + 11) = (x + 4)(x + 4 + 1)

(x + 1)(x + 12) = (x + 4)(x + 5) ← expand both sides

x² + 13x + 12 = x² + 9x + 20 ← subtract x² + 9x from both sides

4x + 12 = 20 ( subtract 12 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2 → A

Answer:

My sister is getting ready to prepare, I would say 1100 it means you are above.

Step-by-step explanation:

Answer:

$8.73 per package of candy bars

Step-by-step explanation:

10.25 - 1.52=

Step-by-step explanation:

Step 1:   Set up the formula for the surface area of a regular pyramid.

SA = [tex]\frac{p*h}{2} + B[/tex]

where :

Step 2:  Plug the perimeter of the base into the formula

you can calculate the perimeter by multiplying the length of one edge by the number of edges.

Step 3: plug the value of the slant height into the formula (it is not the perpendicular height)

Step 4: find the area of the base (depend on the shape of the base)

Hope it will find you well.

Answer:

The distance that Mrs. Gilbertson's daughter walked was 188.4 feet

Step-by-step explanation:

Here we have that Mrs. Gilbertson's daughter walked round the circle 12 times where the diameter of the circle = 5 ft., therefore, the circumference of the circle, the distance walked round each of the 12 times = π·D

Where:

D = 5 ft

Hence, circumference = π × 5 = 3.14 × 5 = 15.7 ft

Therefore, by walking round the circle 12 times, the total distance that Mrs. Gilbertson's daughter walked = 12 × 15.7 = 188.4 ft.

Answer:

A

Step-by-step explanation:

x² - 4x - 5 = 0

x² - 5x + x - 5 = 0

x(x - 5) + (x -5) = 0

(x - 5)(x + 1) = 0

x - 5 = 0   ; x + 1 = 0

x = 5      ; x = -1

Answer:

C

Step-by-step explanation:

Let's say Abudal's score = x.

We can do,

3x + x + x + 5 = 45

5x = 45

x = 8.

That means Abdul's scored 8 points, meaning Kendall scored 24,(8*3), and that Otis scored 13, since 8 + 5 = 13.