In Rectangle ABCD diagonals AC and BD intersect at point P. If PD = 4x and AC = 88, solve for x.

Answer:

-21 and 8

Step-by-step explanation:

-21 × 8 = -168 and -21 + 8 = -13

Hope this helps!

Answer:

■ Sales tax: $36.00

■ Cost/Price before ST: $719.99

■ Total Cost/Price including ST: $755.99

Step-by-step explanation:

Answer: $755.99

Step-by-step explanation: The first step in finding how much an item or product costs with tax is to take the price of the product and multiply it by the percentage of sales tax to find out how much the tax costs. The next step is to take this cost of the tax and add it to the original price of the product. This gives you your final cost. This gives us the following equations.

In this problem the sales tax is 5%, which is equal to 0.05

(719.99) (0.05) = 35.9995

35 + 719.99 = 755.9895

The answer we get from the equations is 755.9895. Rounding to the nearest penny, or hundredth space, gives us our final answer of $755.99

Answer:

2

Step-by-step explanation:

The side length of the preimage is 4.5 and the side length of the image is 9. Since scale factor is image/preimage, the scale factor is 9/4.5 = 2

The income of the amusement park is a function of the price of the ticket

The entry price that will result in no income is $24

The expression for the income is given as:

[tex]96x - 4x^2[/tex]

When the income is 0, we have the following equation

[tex]96x - 4x^2 = 0[/tex]

Factor out 4x

[tex]4x(24 - x) = 0[/tex]

Split the equation

4x = 0 or 24 - x = 0

Solve for x

x = 0 or x = 24

This means that, the entry price that will result in no income is $24

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Penguins (P): 1 H + 2 Ft

Bears (B): 1 H + 4Ft

Heads Equation:  1P + 1B = 14   → -2(1P + 1B = 14)   →  -2P - 2B = -28

Feet Equation:    2P + 4B = 30 →   1(2P + 4B = 30)  →  2P + 4B = 30

                                                                                              2B = 2

                                                                                                B = 1

Heads Equation:  1P + 1B = 14   →  1P + 1(1) = 14  →  P = 13

Answer: 13 Penguins and 1 Bear

Ali gets £10

Beth gets £25

Step-by-step explanation:

The amount is divided into 7 equal parts since 2+5=7.

since Ali's name comes first, he gets 2 of the parts as the 2 is the first number in the ratio. Beth gets 5 parts, since her name is the second.

share the £35 between the 7 parts by dividing 35 by 7.

35÷7=5

Ali gets 5× £2= £10

Beth gets 5×£5 =£25

5×5=25 (Beth's portion)

The simplification of the given expression will be  [tex](-3x^2-15x-30)[/tex].

Given expression is

[tex]-3(x+2)^2 -3+3x[/tex]

By applying  [tex](a+b)^2=a^2+2ab+b^2[/tex]  we get

[tex]-3(x^2+6x+9)-3+3x[/tex]

Multiplying by -3 into the whole bracket we get

[tex]-3x^2-18x-27-3+3x[/tex]

[tex]-3x^2-18x-30+3x[/tex]

[tex]-3x^2-15x-30[/tex]

Thus the simplification of the given expression will be  [tex](-3x^2-15x-30)[/tex]

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Answer:

B. –3x^2 – 15x – 30

Step-by-step explanation:

Answer:

8x11/2= 44 it's 44

Step-by-step explanation:

A=44 = LW = (2W-3)W = 2W^2 -3W

2W^2-3W -44 = 0

(2W-11)(W+4) = 0

2W-11 = 0

2W = 11

W = 11/2 = 5 1/2 meters

L=2W-3 = 11-3 = 8

8x11/2= 44

length = 8 m,  width = 5 1/2 m

Cylinder A can hold 6902.08 ft^3

Cylinder B can hold 5654.87 ft^3

6902.08 - 5654.87 = 1247.21

The amount that will be left over in container A is 1247.21

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanatio

may not be real numbers. Our final theorem in the section gives us an upper bound on the number

of real zeros.

Theorem 3.7. Suppose f is a polynomial of degree n ≥ 1. Then f has at most n real zeros,

counting multiplicities.

Theorem 3.7 is a consequence of the Factor Theorem and polynomial multiplication. Every zero c

of f gives us a factor of the form (x − c) for f (x). Since f has degree n, there can be at most n of

these factors. The next section provides us some tools which not only help us determine where the

real zeros are to be found, but which real numbers they may be.

We close this section with a summary of several concepts previously presented. You should take

the time to look back through the text to see where each concept was first introduced and where

each connection to the other concepts was made.

Connections Between Zeros, Factors and Graphs of Polynomial Functions

Suppose p is a polynomial function of degree n ≥ 1. The following statements are equivalent:

• The real number c is a zero of p

• p(c) = 0

• x = c is a solution to the polynomial equation p(x) = 0

• (x − c) is a factor of p(x)

• The point (c, 0) is an x-intercept of the graph of y = p(x)

3.2 The Factor Theorem and The Remainder Theorem 265

3.2.1 Exercises

In Exercises 1 - 6, use polynomial long division to perform the indicated

Answer:

164 cm²

Step-by-step explanation:

Take the 2 shapes and find the areas

Triangle area = (bh)/2

                          13 × 8 × 0.5 = 52

Rectangle area = 16 × 7 = 112

Add up the areas

112 + 52 = 164

Answer:

136 cm²

Step-by-step explanation:

The composite figure is made up of a triangle and a rectangle.

Area of the triangle

[tex]\boxed{\begin{aligned}\textsf{Area of a triangle}&=\dfrac{1}{2} \times \sf base \times height\\\\ \implies \textsf{Area of $\triangle ABD$}&=\dfrac{1}{2} \times BD \times AB\\&=\dfrac{1}{2} \times (16-8) \times (13-7)\\&=\dfrac{1}{2} \times 8 \times 6\\&=4 \times 6\\&=24\; \sf cm^2\end{aligned}}[/tex]

Area of the rectangle

[tex]\boxed{\begin{aligned}\textsf{Area of a rectangle}&=\sf width \times length\\\\ \implies \textsf{Area of rectangle $BCFE$}&= EF \times CF\\&=7 \times 16\\&=112\; \sf cm^2\end{aligned}}[/tex]

Therefore, the area of the composite figure is:

[tex]\boxed{\begin{aligned}\textsf{Area of the composite figure}&=\sf Triangle + Rectangle\\ & = 24 + 112\\&=136\; \sf cm^2\end{aligned}}[/tex]

Answer:

y =mx

Step-by-step explanation:

The second one is for the gradient

The third one is pythogras theorm

The last one is for the slope of a line(i'm not that sure about this one, sorry if its wrong)

Answer:

Step-by-step explanation: we will first work out a

so 23 is the hypotenuse

a is the opposite

so what we need to do is 46sin(23) and that will give you 17.97 cm

next we will work out b

b is the adjacent

23 is the hypotenuse

so in this case we must do 46cos(23) and that will give you 42.34

last, we will work out B

a is 17.97 cm and its the adjacent

23 is the hypotenuse

so we do sin-1(17.97/23)= 51.38

Answer:

about 11 boys were on the track team last year.

Answer:

https://brainly.com/question/7699717

Step-by-step explanation:

According to the dimensions given, the volume of paper in the recycling bin is of 6800 cubic inches.

It is given by the multiplication of the base area by the height, that is:

[tex]V = S_bh[/tex]

In this problem, we have that the measures in square inches and inches, respectively, are given by:

[tex]S_b = 400, h = 17[/tex]

Hence:

[tex]V = 400 \times 17 = 6800[/tex]

The volume of paper in the recycling bin is of 6800 cubic inches.

More can be learned about the volume of a rectangular prism at https://brainly.com/question/17223528

Answer:

6800

Step-by-step explanation:

Answer:

height = 50 ft (nearest foot)

Step-by-step explanation:

This creates a right triangle, where:

Use the tan trig ratio to find the height.

[tex]\mathsf{\tan\theta=\dfrac{opposite \ side}{adjacent\ side}}[/tex]

[tex]\implies \mathsf{\tan(34.6)=\dfrac{height}{72}}[/tex]

[tex]\implies \mathsf{height=72\tan(34.6)}[/tex]

[tex]\implies \mathsf{height=50 \ ft \ (nearest\ foot)}[/tex]

[tex]\\ \rm\Rrightarrow tan\theta=\dfrac{Perpendicular}{Base}[/tex]

[tex]\\ \rm\Rrightarrow tan34.6=\dfrac{x}{72}[/tex]

[tex]\\ \rm\Rrightarrow x=72tan34.6[/tex]

[tex]\\ \rm\Rrightarrow x=72(0.689)[/tex]

[tex]\\ \rm\Rrightarrow x=49.61ft[/tex]

The volume of the cone is [tex]\frac{1}{3} \pi r^{2} h[/tex]

Volume =  [tex]\frac{1}{3} \pi *(3)^{2} *12 = 113.04ft^3[/tex]

Hope that helps!

Answer:

T=50.99

Step-by-step explanation:

Given:

I=3,875.78

P=1,900

R=4% I.e 4/100 , 0.04

T=?

I=PRT

3,875.79=($1,900)(0.04)t

3,875.79=76t

3,875.79/76= t

T=50.99

Answer:

6x^2 - 19x + 10 is the answer

Step-by-step explanation:

Lets use the FOIL method to expand,

(2x - 5)(3x -2)

2x * 3x + 2x * -2 + -5 * 3x + -5 * -2

This is the expanded version of the expression above!

here is a better way of explaining it,

(2x - 5) is the first equation now lets split it up

now its 2x and -5!

now you just multiply 2x and -5 to the second equation (3x - 2)

makes sense?

Lets Simplify it,

2x * 3x + 2x * -2 + -5 * 3x + -5 * -2

6x^2 - 4x - 15x + 10

6x^2 - 19x + 10

(tip: DON'T FORGET SAY ^2 because there are 2x's in the (2x*3x) part!)

Now you just simplify!

So as a result the answer is,

6x^2 - 19x + 10

Hope this helps :)

Cathy and Iris have 259,459,200 ways to skip countries.

Data;

To solve this problem, we would have to use a mathematical procedure known as combination.

Let us calculate the number of countries that would have to skip.

[tex]13 - 9 = 4[/tex]

To decide which country they have to skip, it would be 4 out of 13.

[tex]x = ^1^3C_4 = \frac{13!}{4!}[/tex]

Let's solve this

[tex]\frac{13!}{4!} = \frac{13*12*11*10*9*8*7*6*5*4*3*2*1}{4*3*2*1}\\ \frac{13!}{4!} = 13*12*11*10*9*8*7*6*5 = 259459200 ways[/tex]

Cathy and Iris have 259,459,200 ways to skip countries.

Learn more on combination here;

https://brainly.com/question/12468032

Step-by-step explanation:

for number 8. The slope is -3 because the standard form equation is y=mx+c. And we know that m represents your slope.

Hence why it is -3.

For number 10. The slope is 0. I Forgot to write that on the pic

:)

Answer:

you have 1

you get 2

2+1=3

You now have 3 apples :)

Hey!

you have 3 apples.

2+1 is 3.

Answer:

6 Lollipops in 5 bags and 6 KitKat Bars in 7 bags

Step-by-step explanation: Its 6 x 5 which equals 30 and 6 x 7 that equals 42. Hope it's correct :)

Answer: carter has not saved any money

Step-by-step explanation:

Answer:

1.

A: GI= 60

B:  MH= 14

C: IK= 23

D: HI=  46

E: MG= 24

2.

A: TU= 38

B: VY= 17

C: UZ= 15

D: WV= 15

E: TV= 30

Step-by-step explanation:

This probally isnt all right but most of it most likely is.

The box plot showing the five-number summary of the data in the dot plot is shown in the image attached below (see attachment).

A box plot shows the five-number summary of a data distribution which includes:

To create a a box plot for the data, we need to state out each data point given in the dot plot, which are:

2.3, 2.4, 2.4, 2.5, 2.6, 2.6, 2.7, 2.7, 2.8, 2.8

The five-number summary of the data points stated above would be:

Therefore, the box plot showing the five-number summary of the data in the dot plot is shown in the image attached below (see attachment).

Learn more about box plot on:

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Answer:

other guy is right

Step-by-step explanation: