6.
In the diagram below, PO and RS are parallel.
Q
130°
60°
to
R
S
Based on the angle measures in the diagram, what is the value
of x?
A. 70
B. 60
C. 50
D. 40

Answer:

x = 120

Step-by-step explanation:

Given

0.25(x + 4) - 3 = 28 ( add 3 to both sides )

0.25(x + 4) = 31 ( divide both sides by 0.25 )

x + 4 = 124 ( subtract 4 from both sides )

x = 120

The value of x that satisfies the equation 0.25(x + 4) - 3 = 28 is x = 120.

Here, we have,

To solve the equation 0.25(x + 4) - 3 = 28, we will follow these steps:

Let's go through each step in detail:

Step 1: Distribute the 0.25 to the terms inside the parentheses.

0.25(x + 4) - 3 = 28

Distribute 0.25 to (x + 4):

0.25x + 0.25 * 4 - 3 = 28

Step 2: Simplify the equation by combining like terms.

0.25x + 1 - 3 = 28

Simplify 0.25 * 4:

0.25x + 1 - 3 = 28

0.25x - 2 = 28

Step 3: Isolate the variable x on one side of the equation.

To isolate the variable x, we want to get rid of the constant term -2 on the left side.

We can do this by adding 2 to both sides:

0.25x - 2 + 2 = 28 + 2

Simplifying:

0.25x = 30

Step 4: Solve for x.

To find the value of x, divide both sides by 0.25:

0.25x / 0.25 = 30 / 0.25

Simplifying:

x = 120

So, the value of x that satisfies the equation 0.25(x + 4) - 3 = 28 is x = 120.

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Answer:

the number on the left is half of the amount of the number next to it on the right, so the next three terms are 64, 128, 256

Step-by-step explanation:

ex 4x2=8 8x2=16 16x2=32

Answer:

5. y = -1/2x + 6

6.  y = 1/2x + 150

7. y = 10x + 20

8. y = 25x

Step-by-step explanation:

Look at the y-intercept and eliminate the answers you dont need.

Then find the slope of each.

Answer:

Pythagorean Theorum

Step-by-step explanation:

a^2*b^2= c^2

A and B

Both A and B, when simplified get -(1/6), because the others have either 0 or 2 negative signs, denoting a positive end result.

Answer:

D. If you go through all the equations they all come out true beside this one. With this one Alisha pays $1,480 which is less than $1,500

Answer:

c

Step-by-step explanation:

Answer:

$7 total

Step-by-step explanation:

$5 + $2 = $7

Answer:

9.6

Step-by-step explanation:

First you figure out that the shadow is 2.5 times larger than what is casting it. Then you divide 24 by 2.5.

Answer:

4/7

Step-by-step explanation:

Have a nice day

Answer:

4/7

Step-by-step explanation:

I said so hun

Answer:

I think the answer is 6 sorry if i'm wrong

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given:

Functions are

[tex]f(x)=\dfrac{1}{3}x^2+4[/tex]

[tex]g(x)=9x-12[/tex]

To find:

The value of [tex]g(f(x)).[/tex].

Solution:

We have,

[tex]g(f(x))=g(\dfrac{1}{3}x^2+4)[/tex]        [tex][\because f(x)=\dfrac{1}{3}x^2+4][/tex]

[tex]g(f(x))=9(\dfrac{1}{3}x^2+4)-12[/tex]        [tex][\because g(x)=9x-12][/tex]

[tex]g(f(x))=9(\dfrac{1}{3}x^2)+9(4)-12[/tex]

[tex]g(f(x))=3x^2+36-12[/tex]

[tex]g(f(x))=3x^2+24[/tex]

Therefore, the required function is [tex]g(f(x))=3x^2+24[/tex].

Following are the calculation to the given function:

Given:

[tex]f(x)=\frac{1}{3}x^2+4 \\\\g(x)=9x-12[/tex]

To find:

[tex]g(f(x))=?[/tex]

Solution:

[tex]f(x)=\frac{1}{3}x^2+4 \\\\g(x)=9x-12[/tex]

[tex]\to g(f(x))=g( \frac{1}{3} x^2+4) \\\\[/tex]

                [tex]=9( \frac{1}{3} x^2+4)-12 \\\\=\frac{9}{3}x^2+36-12 \\\\=3x^2+24 \\[/tex]

Therefore, the answer is "[tex]24+3x^2[/tex]" .

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Answer:

Sample: Kevin should have used an open circle on 1, not a closed circle. The closed circle means that 1 is included in the solution set, but the inequality is x > 1, so 1 is not part of the solution.

Mistake done by Kelvin is he  used closed circle at 1 where inequality x > 1 which excludes 1.

" Closed circle represents that the value is included in the given range while that of open circle represents given number is not included."

According to the question,

Graph of inequality x > 1 represents all values greater 1 excluding 1.

Number line represents -3 to 5.

A closed circle at 1 means 1 is included.

As per the condition  of inequality x > 1 , 1 is excluded while in closed circle 1 is included both are contradictory conditions.

Hence, mistake done by Kelvin is he  used closed circle at 1 where inequality x > 1 which excludes 1.

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Step-by-step explanation:

57=4w+13

57-13=4w

44=4w

w=11

Answer:

54,265 fishes

Step-by-step explanation:

The formula for Population decrease =

P(t) = Po × e^-rt

Where

P(t) = Population after time t

Po = Initial population = 95000

r = decrease rate = 4% = 0.04

t = time in years = 14

Hence

P(t) = 95,000 × e ^- 0.04 × 14

P(t) = 95,000 × e^-0.56

P(t) = 54264.861066 fishes

Approximately = 54,265 fishes

The total fish the company caught over the first 14 years, to the nearest whole number is 54,265 fishes

Complete question :

A company rents out 15 food booths and 20 game booth at the country fair. The fr for a food booth is $200 plus $8 per day. The fee for a game booth is $65 plus $7 per day. The fair lasts d days and all the booths are rented for the entire time. Enter a simplified expression for the amount in dollars that the company is paid.

Answer:

4300 + 260d

Step-by-step explanation:

Given that :

Earning from Food booth cost :

Number of booth * cost

15(200 + 8d)

3000 + 120d

Earning from Game booth :

Number of booths * cost

20(65 + 7d)

1300 + 140d

Total sum :

Total earning from game booth and food booth

3000 + 120d + 1300 + 140d

3000 + 1300 + 120d + 140d

4300 + 260d

Answer:

78.5

Step-by-step explanation:

add 1+2+3+4+5+6+7+100-56=78.5

Answer:

Step-by-step explanation:

((3×5)+4)/5=

19/5

The improper fraction is 19/5.

We have to convert [tex]3 \dfrac{4}{5}[/tex]  it into an improper fraction.

To convert into an improper fraction calculation must be done in a single unit following all the steps given below.

                    [tex]= \dfrac{3 \times 5 + 4}{5}[/tex]

                    [tex]=\dfrac{15+4}{5}\\\\=\dfrac{19}{5}[/tex]

Hence, The improper fraction is 19/5.

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Answer:

PA = 20 units

NL = 20 units

Step-by-step explanation:

Property of a rectangle,

"Diagonals of a rectangle are equal in measure and divide each other in two equal parts"

By using this property,

PT = TL

(x + 3) = (3x - 11)

3x - x = 11 + 3

2x = 14

x = 7

Length of PT = (x + 3) = 10

Length pf PA = 2(PT) = 20 units

Length of NL = PA = 20 units

Answer:

The correct option is Option C

Step-by-step explanation:

We are given the lines: [tex]y=-\frac{4}{5}x+2 \ and \ \ y=-\frac{5}{4}x-\frac{1}{2}[/tex]

The lines are perpendicular if they have opposite slopes i,e [tex]m_1=-\frac{1}{m_2}[/tex]

In line 1 the slope is [tex]-\frac{4}{5}[/tex] (Comparing with slope-intercept form [tex]y=mx+b[/tex] we get the value of m=-4/5)

In line 2 the slope is [tex]-\frac{5}{4}[/tex] (Comparing with slope-intercept form [tex]y=mx+b[/tex] we get the value of m=-5/4)

The opposite reciprocal of -4/5 is 5/4  

So, the lines are not perpendicular as their slopes are not opposite reciprocal of each other.

If the lines are parallel there slope must be same. Hence lines are not parallel as well.

So, The correct option is Option C

Answer:

c

Step-by-step explanation:

Answer:

I believe 7x, 4y, and 1

Step-by-step explanation:

I belive the answer is C.

Answer:

$1.97

Step-by-step explanation:

Answer:

(X-x0)^2 +(y-y0)^2= r^2

R=4

R^2=16

(X-0)^2+(y-0)^2=16