Solve for W
5 = 7w + 8w + 2

Answer: h=60 feet

Step-by-step explanation:

h=4+60t-16t²

h(2)=4+(60)(2)-(16)(2)²

h(2)=4+120-(16)(2)(2)

h(2)=124-64

h(2)=60 feet

By combining the like terms, the simplified form of the expression x(3-y)+y(x+6) is 3x+6y

Given,

The algebraic expression = x(3-y)+y(x+6)

Apply distributive property and expand the term

x(3-y)+y(x+6)=3x-xy+xy+6y

Combine like terms

3x-xy+xy+6y= 3x+6y

Hence, by combining the like terms, the simplified form of the expression x(3-y)+y(x+6) is 3x+6y

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Answer:

What is the probability the marble is yellow? = 1/3

The probability it is blue? = 1/3

The probability it is red? = 1/3

Answer:

Step-by-step explanation:

15. True

16. False

17. True

18. True

Answer:

15 )true because they are opposite angles.

16) false 2 and 4 are opposite angles so should be the same value.

17 true ) because angle 4+1=180.

18 true) because the two angles make a 180 degree.

80 copies could be made from $32 at a local print shop.

For the given question;

$8 is cost for the 20 copies.

Then,

$8 ------> 20 copies.

Divide both side by 8.

$1 -------> 20/8 copies.

For $32, multiply both side by 32.

$32 ------->32×(20/8) copies

$32 -----> 80 copies.

Therefore, 80 copies will be prepared by the amount of $32 at the local print shop.

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Answer:

C. $117.88

Step-by-step explanation:

$10.25 per hour

11.5 hours worked

$10.25 * 11.5 = $117.875

round $117.875 to $117.88

C. $117.88

It should be noted that the value of to 3x-4will be -12.

It should be noted that this simply has to do with multiplication.

In this case we have to multiply the values that are given.

Also, it's important note that minus multiplied by plus is minus.

Therefore, (3 × -4) = -12.

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Answer:

Step-by-step explanation:

d

[tex]\textsf{Hi Brainy User, I'm Here to Help you!}[/tex]

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

[tex]\textsf{Parallel lines have the same slope, thus:}[/tex]

[tex].\qquad\bullet\sf{Slope\:of\:the\:line\:that's\:parallel\:to\:the\:given\:line: \dfrac{1}{3}}[/tex]

[tex]\textsf{Next, we'll apply the \textbf{Point-Slope Formula:}}[/tex]

[tex].\qquad\bullet\sf{y-y_1=m(x-x_1)}[/tex]

[tex]\textbf{\underline{Setting the values:}}[/tex]

[tex].\qquad\bullet\sf{y_1=2}\\.\qquad\bullet m=1/3\\.\qquad\bullet x_1=6}}[/tex]

[tex]\textbf{\underline{Plugging in the values:}}[/tex]

[tex].\qquad\bullet\sf{y-2=\dfrac{1}{3} (x-6)}\\\\.\qquad\bullet y-2=\dfrac{1}{3}x-2}\\\\.\qquad\bullet y=\dfrac{1}{3} x}[/tex]

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

[tex]\large\overbrace{\underbrace{\textsf{\textbf{Reflection - RoSe}}}}^\star_\star[/tex]

[tex]\frac{12}{5}[/tex] = [tex]2\frac{2}{5}[/tex] revolutions per second is the unit rate.

An item's unit rate is its price for one of it. This is expressed as a ratio with a one as the denominator. For instance, if you covered 70 yards in 10 seconds, you covered 7 yards on average every second. Seven yards in one second and 70 yards in ten seconds are both ratios, but only one of them is a unit rate.

1) Convert mixed fractions into fractions.

[tex]6\frac{2}{5}[/tex] = [tex]\frac{((6*5) + 2)}{5}[/tex] = [tex]\frac{32}{5}[/tex]

[tex]2\frac{2}{3}[/tex] = [tex]\frac{((2*3) + 2)}{3}[/tex]  =  [tex]\frac{8}{3}[/tex]

2) [tex]\frac{32}{5}[/tex] ÷ [tex]\frac{8}{3}[/tex] ; where [tex]\frac{32}{5}[/tex] is the 1st fraction and [tex]\frac{8}{3}[/tex] is the 2nd fraction

a) Find the second fraction's reciprocal:

  From [tex]\frac{8}{3}[/tex] to [tex]\frac{3}{8}[/tex]

b) Multiply the first fraction by the second fraction's reciprocal, which is 32/5, 5/3, or (5/3), to get 96/40.

c) Simplify the fraction.

Divide 96 / 40 by 4 to get 24/10.

Divide 24/10 by 2, and the result is 12/5. The 96/40 simple fraction

[tex]\frac{12}{5}[/tex] = [tex]2\frac{2}{5}[/tex] revolutions per second is the unit rate.

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The solution of the given equation -3(x-4)=2(x+8) is at x = -4/5.

According to the given question.

We have a linear equation in one variable.

-3(x-4)=2(x+8).

As we know that,the linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.

Thereofre, the solution of the given equation is given by

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

⇒ -3x + 12 = 2x + 16

⇒ -3x - 2x = 16 - 12

⇒ -5x = 4

⇒ x = -4/5

We get the solution of the given equation is at x = -4/5.

Now, we can check that x = -4/5 is a solution of the given equation or not.

Therefore,

L.H.S

= -3(-4/5 - 4)

= 12/5 + 12

= (12 + 60)/5

= 72/5

Similarly,

R.H.S

= 2(-4/5 + 8)

= -8/5 + 16

= -8 + 80/5

= 72/5

So, L.H.S = R.H.S

Hence, the solution of the given equation -3(x-4)=2(x+8) is at x = -4/5.

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Answer: -8

Step-by-step explanation:

The probability that it hits region I is 15%.

Probability:

Probability means the possibility of the required event.

The formula for the probability is written as,

P(E) = n(E)/n(S)

Where,

P(E) is the probability of an required event

n(E) is the number of possible outcomes

n(S) is the total number of events.

Given,

At a carnival, the object of a game is to throw a dart at the board and hit region III.

Here we need to find the probability that it hits region I.

Consider the board was look like the following figure.

Then based on the given figure,

First, we have to find the total area of the board and the area of the required region.

And then we have to compare it to calculate the Probability.

So, the total area of the board is,

=> total area of the board = (10 + 30)(10 + 15)

=> total area of the board = 1000 in²

Now, the The area of the region I is

=> Area = (10)(15)

=> Area = 150 in²

Therefore, the probability that it hits region I is

=> P = 150/1000

=> P = 15/100

=> P = 15%

Therefore, the probability that it hits region I is 15%.

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Answer:

c = 110.25

(r + 10.5)²

Step-by-step explanation:

Hello!

Perfect Square Trinomial: [tex](a + b)^2 = a^2 + 2ab + b^2[/tex]

21r is basically 2 times r and b, the missing number.

The missing number, b, would be 10.5

Now c is basically b², so we just have to simplify 10.5²:

c should be 110.25 for it to be a Perfect Square Trinomial. The factored form would be (r + 10.5)².

Answer:

The period would be 2 years

Step-by-step explanation:

The equation in point-slop form of the line line having the slope m=-1 and that contains the point (-2,3)  is y-3=-1(x+2)

Given,

The slope m = -1

The point = (-2,3)

We know the point-slope form,

[tex]y-y_{1}=m(x-x_{1})\\[/tex]

Substitute the values in the equation

y-3=-1(x-(-2))

y-3=-1(x+2)

Hence, the equation in point-slop form of the line line having the slope m=-1 and that contains the point (-2,3)  is y-3=-1(x+2)

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Answer:

F

Step-by-step explanation:

La respuesta es f porque la tasa vigente en el lado x es por 2 y la tasa vigente en el lado y es por 12.

An interior angle of a regular polygon has a measure of 108°. It is a 5 sided polygon known as pentagon.

What shape does the Pentagon have?

What do you call a shape with five sides?

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The value of expression is 33

For evaluating the expression, we will keep the given values of variables in the expression. Further solving will be done according to the mathematical operators.

Rewriting the equation -

Value = 11 (a + 2b) + 2 (a - 2b)

Now keeping the values of variables in expression -

Value = 11 (-3 + 2×4) + 2 (-3 - 2×4)

Firstly solving the brackets

Value = 11 ( -3 + 8) + 2 (-3 - 8)

Value = 11 (5) + 2 (-11)

Performing multiplication

Value = 55 - 22

Performing subtraction

Value = 33

Hence, the expression for the given values of the variables is 33.

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AnAt what rate is the amount of flour decreasing? 270- 180 90- grams per minute 2. As time increases, the amount of flour in the machine increases. Time (minutes)

The coefficient is defined as a coefficient is a number multiplied by a variable.

We need to define the term coefficient.

A quantity or number that is combined with a variable is known as a coefficient. The variable is often multiplied by an integer, which is then printed next to it. It is assumed that the variables with no associated number have a coefficient of 1.

For example, in the expression 6x², 6 is the coefficient of x² but in the expression 2y² + 7, 2 is the coefficient of y².

In terms of a polynomial, a series, or any other expression, a coefficient is, in other words, a multiplicative factor.

Therefore, the coefficient is defined as a coefficient is a number multiplied by a variable.

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The point X on AB such that the ratio is 1.25 units.

XB=AX×3

AX+XB=AB

AX+(AX×3)=AB

AX×4=AB

AX×4=9

AX=2.25

X=-1+2.25

X=1.25 units

Ratio shows how often one number is contained in another. For instance, the proportion of oranges to lemons in a bowl of fruit is eight to six if there are eight oranges and six lemons (that is, 8:6, which is equivalent to the ratio 4:3). The proportions of oranges to the overall amount of fruit are 8:14 for oranges and 6:8 (or 3:4) for lemons (or 4:7).

The quantities in a ratio can be of any form, including counts of people or things, measures of lengths, weights, or times, etc.

Hence , the Coordinate in units: (2,1.25).  In most contexts, both numbers are restricted to be positive.

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The equation relating T to N  is T = 560N + 750

A function is defined as an expression or rule that explains or compares the relationship between two variables - the dependent and the independent variable.

From the information given, we have that;

This is represented as;

T = A + B

Substitute the values

T = 165N + 750 + 395N

Collect like terms

T = 165N + 395N + 750

Add like terms

T = 560N + 750

Thus, the equation relating T to N  is T = 560N + 750

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Answer:

Step-by-step explanation:

Simplify:

31−(5−3⋅4)*2+26÷4=

31-(5-12)*2+6.5=

31-(-7)*2+6.5=

31+14+6.5=

51.5

I do not agree that the line y = -2x + 3 is perpendicular to the line x + 2y = 8.

Perpendicular lines are lines that form right angles at the point of intersection. The equation of the lines that are in perpendicular with each other have slopes that are negative reciprocal with one another.

If slope of A = a/b, and B is perpendicular to A, then slope of B = -b/a.

To check if the two given equation of the line is perpendicular with each other, get their slopes and see if they're negative reciprocal of one another.

Line 1 : y = -2x + 3

m = -2

slope of perpendicular line to line 1 = 1/2

Line 2 : x + 2y = 8 ⇒ 2y = -x + 8 ⇒ y = -1/2 x + 4

m = -1/2

1/2 ≠ -1/2

Since the negative reciprocal of the slope of the first line is not equal to the slope of the second line, then they are not perpendicular with each other.

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Answer:

11.55

Step-by-step explanation:

Answer:

2x² - 25x + 90

Step-by-step explanation:

→ Replace every x in 2x² + 5x + 15 with -x + 5

2 × ( -x + 5 )² + 5 ( -x + 5 ) + 15

→ Simplify

2 ( x² - 10x + 25 ) - 5x + 25 + 15

→ Expand

2x² - 20x + 50 - 5x + 40

→ Simplify

2x² -25x + 90