Find the angle which is vertical to angle 5 and write your result in the empty box.

First, add 3 to both sides:-

[tex]\sf{8p=13+3}[/tex]

[tex]\sf{8p=16}[/tex]

Now, divide both sides by 8:-

[tex]\bigstar{\boxed{\pmb{p=2}}}[/tex]

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

The movie star's agent given the star's monthly income and the percentage the agent earns is $8,954.

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. Percentage is a measure of frequency.

Agent's earnings = 11% x $81,400 =$8,954

To learn more about percentages, please check: https://brainly.com/question/25764815

Answer:

85.3

Step-by-step explanation:

The Total number of students = 36. Add all the values but don't forget how much of that value there is. so for the score of 70, you would multiply that by 6 because that's how much students got it.

Answer:

[tex](x^{3} + 9\, x^{2} + 14\, x - 12)[/tex].

Step-by-step explanation:

Let [tex]p(x)[/tex] denote the polynomial in question.

The question states that dividing [tex]p(x)[/tex] by [tex](x + 3)[/tex] gives the quotient [tex](x^{2} + 6\, x - 4)[/tex] (with no remainder.) In other words:

[tex]\displaystyle \frac{p(x)}{x + 3} = x^{2} + 6\, x - 4[/tex].

Multiply both sides by [tex](x + 3)[/tex] to find an expression for the polynomial in question, [tex]p(x)[/tex]:

[tex]p(x) = (x^{2} + 6\, x - 4)\, (x + 3)[/tex].

Expand this expression to obtain:

[tex]\begin{aligned}p(x) &= (x^{2} + 6\, x - 4) \, (x + 3) \\ &= x\, (x^{2} + 6\, x - 4) \\ & \quad + 3\, (x^{2} + 6\, x - 4) \\ &= x^{3} + 6\, x^{2} - 4\, x \\ &\quad + 3\, x^{2} + 18\, x - 12 \\ &= x^{3} + 9\, x^{2} + 14\, x - 12\end{aligned}[/tex].

For the given function g(x)=xpower of 2-6x-16, the statement which is true, is the zeros are -2 and 8 because the factor of g are (x+2) and (x-8).

A quadratic function is the function in which the unknown variable is one and the highest power of the unknown variable is two.

The standard form of the quadratic function is,

[tex]f(x)=ax^2+bx+c[/tex]

Here,(a,b, c) is the real numbers and (x) is the variable.

The quadratic function given in the problem is,

[tex]g(x)=x^2-6x+16[/tex]

Factorized it with split the middle term method,

[tex]g(x)=x^2-6x-16\\g(x)=x^2-8x+2x-16\\g(x)=x(x-8)+2(x-8)\\g(x)=(x-8)(x+2)[/tex]

Equate the factors of the function, to find the zeros,

[tex]x-8=0;x=8\\x+2=0;x=-2[/tex]

Hence, for the given function g(x)=xpower of 2-6x-16, the statement which is true, is the zeros are -2 and 8 because the factor of g are (x+2) and (x-8).

Learn more about the quadratic equation here;

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Answer:

(x + 2)(3x + 4)

Step-by-step explanation:

3x² + 10x + 8

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × 8 = 24 and sum = + 10

the factors are + 6 and + 4

use these factors to split the x- term

3x² + 6x + 4x + 8 ( factor first/second and third/fourth terms )

= 3x(x + 2) + 4(x + 2) ← factor out (x + 2) from each term

= (x + 2)(3x + 4) ← in factored form

[tex]\\ \rm\Rrightarrow 3x^2+10x+8[/tex]

[tex]\\ \rm\Rrightarrow 3x^2+6x+4x+8[/tex]

[tex]\\ \rm\Rrightarrow 3x(x+2)+4(x+2)[/tex]

[tex]\\ \rm\Rrightarrow (3x+4)(x+2)[/tex]

Done!

Answer:

A = 3484 ft²

Step-by-step explanation:

Area of a parallelogram is given by the formula:

A = bh (where b is the base length and h is the vertical height)

Substituting values given in the diagram gives us:

A = 67×52

A = 3484

Units will be ft² since it is area.

So our final answer is 3484 ft²
Brainliest if this helped and I hope you find the rest of your homework or task easy.

Answer:

96

Step-by-step explanation:

Answer:

the answer of this question

is 96

Answer:

7 7/8

Step-by-step explanation:

Covert the mixed fractions into improper fractions to make this easier.

2 [tex]\frac{1}{4} and 3\frac{1}{2}[/tex] into [tex]\frac{9}{4} (2*4 +1) and \frac{7}{2} (3*2+1)[/tex]. (In parenthesis, its the process of creating the improper fractions and not part of the fractions themselves.

Now you just multiply both together since 1 bag needs 2 1/4 kilograms and Anthony needs  3 1/2 bags.

That gets you [tex]\frac{63}{8}[/tex] which you get by multiplying 9 and 7 in the numerator and 4 and 2 in the denominator

Finally, find out how many 8 goes into 63 which would be 7 times. 63-(7*8) = 7.

And so the answer is 7 7/8

4 (originally) - 3 (leftover) = 1 KG (eaten) 

1* ( 1000) = 1000g 

(there is 1000g in 1 KG)

Answer:

1.A 2.yes

Step-by-step explanation:

PEMDAS

Answer:

x+3y=15

idrk how to explain but thats the answer

Answer:

She can buy 4 books

Step-by-step explanation:

If each notebook is $3, and she bought two, she'd be left with $32 because 40-6=32. Simply multiply 8 by 4 to get 32, which is the rest of her money. Hope this helps!

Answer:

50/50

Step-by-step explanation:

Answer:

depends on how many there are in a deck. But going from the usual, it would be 2/52

Step-by-step explanation:

(52 is how many cards there are, if theres a different amount then change it to that)

The area of the stacked prism is the amount of space on it

To create a total area between 100 square inches and 130 square inches, 2 to 2.5 prisms

The dimension of the prism is given as:

2 inches by 3 inches by 4 inches

The surface area of the prism is calculated as:

A = 2 * (LW + WH + LH)

This gives

A = 2 * (2 * 3 + 3 * 4 + 2 * 4)

Evaluate the product

A = 52

When the prisims are stacked onto one another, the surface area is between 100 square inches and 130 square inches.

So, the number of prisms (n) needed is:

100/ 52 < n < 130/52

Evaluate the quotient

1.9 < n < 2.5

Approximate

2 < n < 2.5

Hence, 2 to 2.5 prisms are needed to create a total area between 100 square inches and 130 square inches.

Read more about areas at:

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Answer:

[tex]12x+16x~ \text{and}~ 4(3x+4x)[/tex]

Step-by-step explanation:

[tex]4(3x+4x) =4\cdot 3x +4\cdot 4x= 12x + 16x[/tex]

Answer:

Step-by-step explanation:

Answer:

280 Cubes

Explanation:

This problem has to do with volume. To find the number of cubes in the set, you multiply the length, width, and height of all the cubes. This would look like 7*8*5. This equals 280 cubes.

Answer:

688.1 cm

Step-by-step explanation:

Area of circle = (π)r^2

Area= π × 14.8^2

Area = 688.1 cm^2 (to the nearest tenth)

Answer:

x = -6 and x = 1

Step-by-step explanation:

For the fraction to be undefined, find the zeros of the polynomial of the denominator.

The amount of money that should be invested at 7% compounded daily is $199,421.68.

Mathematically, compound interest is given by this formula:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

Where:

Given the following data:

Future value = $200,000.

Interest rate = 7% = 0.07.

Time = 15 year.

Substituting the given parameters into the formula, we have;

[tex]200000=P(1+\frac{0.07}{365} )^{ 15}\\\\200000=P(1+0.00019)^{15}\\\\200000=P(1.00019)^{15}\\\\200000=1.0029P\\\\P=\frac{200000}{1.0029}[/tex]

P = $199,421.68.

Read more on interest here: brainly.com/question/24341207

Answer:

x=-6/29

y=-17/29

Step-by-step explanation:

we have the system of equations

-13x+8y=-2  ------> equation 1

2x+y=-1 ------> equation 2

Solve by elimination

step 1

Multiply equation 2 by -8 on both sides

-8[2x+y=-1 ] ---------> -16x-8y=8 ------> equation 3

step 2

Adds equation 1 and equation 3

-13x+8y=-2

-16x-8y=8

-----------------

-29x=6

x=-6/29

Find out the value of y

substitute the value of x in any equation

2x+y=-1

2(-6/29)+y=-1

-12/29+y=-1

y=-1+(12/29)

y=-17/29

therefore

The answer is

x=-6/29

y=-17/29

Answer:6

Step-by-step explanation:

What you do is you divide 21 and 3.50 and that equals 6 so Nick can buy 6 favors under 42$. (I hope this helped if not then im sorry <3)

Answer:

15 nickels

Step-by-step explanation:

so you know she has 7 dimes so youre starting off at .70

how much money would it take to get from .70 to 1.45?

.75 cents to get from .70 to 1.45 which is 15 nickels

Answer:

0.15n + 0.70 = 1.45

5 nickels

Step-by-step explanation:

Nickel = 5 cents = $0.05

Dime = 10 cents = $0.10

Let n = number of nickels

Let d = number of dimes

Given:

Equation 1:   0.05n + 0.10d = 1.45

Equation 2:   d = n + 7

Substitute Equation 2 into Equation 1 and solve for n:

⇒ 0.05n + 0.10(n + 7) = 1.45

⇒ 0.05n + 0.10n + 0.70 = 1.45

⇒ 0.15n + 0.70 = 1.45

⇒ 0.15n = 0.75

⇒ n = 5

Therefore, Bella had 5 nickels and 12 dimes.

The distance covered by Greta after biking at a speed of 12 miles per hour for x hours is 12x miles.

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Greta starts at mile marker S on a bike trail and is biking at a speed of 12 miles per hour. If she biked for x hours:

Distance covered = 12 mph * x = 12x miles

The distance covered by Greta after biking at a speed of 12 miles per hour for x hours is 12x miles.

Find out more on speed at: https://brainly.com/question/4931057