Lin's job pays $8.25 an hour plus $10 of transportation allowance each week. She has to work at least 5 hours a week to keep the job, and can earn up to $175 per week (including the allowance). Represent this situation mathematically in two inequalities. Let `x` represent the number of hours Lin works in a week.

Answer:

15 rides

Step-by-step explanation:

From the above Question we know that if Tanya goes on a ride, the Algebraic expression = 2x

Where x = number of rides

If Tanya does not play any games, how many rides can she go on?

Note that: Tanya has $30 to spend

This question is solved:

2x = $30

x = $30/2

x = 15 rides

Hence, if Tanya does not play any games she can go on 15 rides

Answer:

588,499

Step-by-step explanation:

you just divide

Answer:

21

Step-by-step explanation:

35% × 60 =

(35 ÷ 100) × 60 =

(35 × 60) ÷ 100 =

2,100 ÷ 100 =

21

Answer:

Step-by-step explanation:

The set up will give a right angled triangle where;

Base of the triangle = 90 ft (distance of the offshore from the base of the house)

theta = 26 degrees (angle of elevation)

Height of the house will be the opposite side = x

Using the TOA trig identity;

tan 26 = opp/hyp

tan 26 x/90

x = 90tan 26

x = 90(0.4877)

x = 43.89 ft

Hence the nearest height of the house is 44ft

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Step-by-step explanation:

Answer:

[tex]D. Real,\ Irrational[/tex]

Step-by-step explanation:

[tex]7\pi \\As\ we\ know\ that\ 7\pi \ is\ can\ be\ factorized\ into\ 7*\pi .\\As\ we\ know\ that\ \pi \ is\ a\ transcendental,\ and\ is\ non-terminating\ non-recurring,\ it\ is\ an\ irrational\ number.\\7\ is\ a\ rational\ number\ as\ it\ is\ terminating\ and\ can\ be\ represented\\ as\ \frac{7}{1} .i.e\ in\ a\ ratio.\\Now,\\As\ The\ product\ of\ a\ rational\ number\ and\ an\ irrational\ number\ is\ irrational.\\The\ product\ of\ 7\ and\ \pi \ which\ is\ 7\pi \ is\ also\ irrational.\\Hence,\\[/tex][tex]7\pi\ is\ irrational.\\As\ we\ know\ that\ all\ rationals\ and\ irrationals\ fall\ under\ the\ category\\ of\ Real\ numbers. All\ irrationals\ are\ real\ numbers\ too.\\Hence,\\7\pi \ which\ is\ an\ irrational [As\ Proven]\ is\ also\ a\ real\ number.\\Hence,\\7\pi \ is\ real\ and\ irrational.[/tex]

Answer:

1:4

Step-by-step explanation:

In the ratio:

Number of apples: 1

Number of oranges: 3

Total number of pieces of fruit: 3 + 1 = 4

apples : all fruit = 1:4

Answer: 1:4

The ratio of apples compared to all the fruit will be 1: 4.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

A hotel puts out 1 apple for every 3 oranges as the fruit for their breakfast buffet.

The ratio of apples compared to all the fruit will be given as,

Apple: Fruits = 1: (3 + 1)

Apple: Fruits = 1: 4

The ratio of apples compared to all the fruit will be 1: 4.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

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Answer:

6

Step-by-step explanation:

Think of the equation as 3/4 x 8/1.  Multiply across to get 24/4 which can be simplified to the number 6.

Answer:

The answer is 10

Step-by-step explanation:

Answer:

9%

Step-by-step explanation:

Calculation for What percentage is her salary

Using this formula

Dianes salary percentage=Car payments per year/Salary per year

Let plug in the formula

Dianes salary percentage=$2,880 per year/$32,000 per year

Dianes salary percentage=0.09*100

Dianes salary percentage=9%

Therefore the percentage of her salary is 9%

Answer:

7 B - 50

Step-by-step explanation:

Answer:

30.

Step-by-step explanation:

Answer:

The correct statements are as follows;

1. They have different y-intercepts

2. The substitution method results in false statement 8 = -1

3. There is no solution

Step-by-step explanation:

Here, we want to select the statement that best describes the equations

The equation for a straight line is generally;

y = mx + b

m is slope and b is the y-intercept

slope of both is same ; 4

So first assertion is wrong

they have different y-intercepts

First y-intercept is 8, second is -1

This is correct

The third statement is correct too

if we equated both y;

4x + 8 = 4x -1

We shall have 4x canceled out and left with 8 = -1

(8,-1) is not a solution

There is no solution is correct because after substituting, we have 8 = -1 which is not correct and also impossible

Answer:

B,C and E

Step-by-step explanation:

It is trust me

Answer:

3.125 inches would result in 122 miles.

Step-by-step explanation:

We can figure this out using proportions.

[tex] \frac{20 \: miles}{ \frac{1}{2} \: inches} = \frac{x}{3.125 \: inches} \\ \\ \frac{ \frac{1}{2}x }{ \frac{1}{2} } = \frac{62.5}{ \frac{1}{2} } \\ \\ x = 122[/tex]

122 miles would be the answer.

Answer:

125 miles

Step-by-step explanation:

[tex]\frac{20}{\frac{1}{2}}=\frac{x}{3.125}\\x=40 \times 3.125=125 \\x=125~miles[/tex]

answer : x = 2

step 1 : move the constant to the right hand side and change its sign

ex : 2x=8-4

step 2 : subtract the numbers

ex : 2x=4

step 3 : divide both sides of the equation by 2

ex : x=2

solution : x=2

hope this helps !

- audrey ♡

Answer:

a) cost = 50 + 20x, where x is the number of hours worked for.

plot cost on the y-axis and hours on the x-axis.

b) cost = 50 + 20 x 4 = $130

c) 180 = 50 + 20x

   130 = 20x

   6.5 = x

   additional charges increment every hour, so the plumber must work for 7 hours before they obtain $180.

Step-by-step explanation:

10% of 80 = 8

80 - 8 = 72

if they are 10% off, the contact lenses will cost $72

Answer:

90°

Step-by-step explanation:

BG=AG

ΔABG is an  Isosceles.

D is the midpoint of AB.

DG⊥AB

So, m∠BDG=90°

Happy Holidays! =)

[tex]\large\boxed{x = -\frac{5}{2} \text{ and } 1}}[/tex]

4x² + 6x = 10

Move 10 to the other side so we can factor the trinomial:

4x² + 6x - 10 = 0

Factor the GCF, or 2 out of the equation:

2(2x² + 3x - 5) = 0

Factor the terms inside of the parenthesis:

2(2x + 5)(x - 1) = 0

Disregard the coefficient of 2 and set each factor equal to 0:

2x + 5 = 0

2x = -5

x = -5/2

x - 1 = 0

x = 1

The values of x are -5/2 and 1.

Answer:

Step-by-step explanation:

Given sequence:

This is an AP with first term of - 11 and common difference of 3

As an AP it is linear function with points

We can define slope as m = 3 and y-intercept as (0, -14) so the function is:

Answer:

40 in

Step-by-step explanation:

36/12=3

24/3=8

12+12+8+8=40

The perimeter of the floor in the scale drawing is 40 inches.

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

We have,

If the rectangular floor of the classroom has a length of 36 feet and a width of 24 feet, then the perimeter of the floor can be calculated as:

P = 2L + 2W

P = 2(36) + 2(24)

P = 72 + 48

P = 120 feet

We are given that the scale drawing of the floor has a length of 12 inches. This means that 12 inches on the scale drawing represent 36 feet in real life.

To find the perimeter in inches on the scale drawing, we can use the following proportion:

12 inches / 36 feet

= x inches / 120 feet

Simplifying this proportion, we get:

x = (12 inches / 36 feet) x 120 feet

x = 40 inches

Therefore,

The perimeter of the floor in the scale drawing is 40 inches.

Learn more about rectangles here:

https://brainly.com/question/15019502

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Answer:

Please check the explanation.

Step-by-step explanation:

Translating two units down means we need to subtract two units from the y-coordinate. i.e

(x, y) → (x, y-2)

We are given that the original point is (1, 2), and we have to find the image of (2, 4) obtained by translating 2 units down followed by a rotation of 180 counterclockwise.

                                                FOR (1, 2)

Given

First translation: Translating two units down

(x, y) → (x, y-2)

P(1, 2) → P'(1, 2-2) → P'(1, 0)

Second transformation: Rotation of 180 counterclockwise.

Rotation of 180 counterclockwise will make both 'x' and 'y' coordinates negative. i.e

(x, y) → (-x, -y)

Thus, after second transformation

P'(1, 0) → (-1, 0)

Thus, the image of (1, 2) obtained by translating 2 units down followed by a rotation of 180 counterclockwise will be: (-1, 0)

                                                    FOR (2, 4)

Given

First translation: Translating two units down

(x, y) → (x, y-2)

P(2, 4) → P'(2, 4-2) → P'(2, 2)

Second transformation: Rotation of 180 counterclockwise.

Rotation of 180 counterclockwise will make both 'x' and 'y' coordinates negative. i.e

(x, y) → (-x, -y)

Thus, after the second transformation

P'(2, 2) → (-2, -2)

Thus, the image of (2, 4) obtained by translating 2 units down followed by a rotation of 180 counterclockwise will be: (-2, -2)                                        

Answer:

we need to c the triangle before we can answer btw

Step-by-step explanation:

Answer:

A' = (6, 1)

B' = (4, -1)

C' = (-6, 1)

Step-by-step explanation:

Use the rule 90° Clockwise: (x, y) ⇒ (y, -x).

I hope I helped and have a great day! ^-^

Answer:

I think the answer is 11 because 2x + 3x=5 and 1 + 10=11

Answer:

Wassgoood

Step-by-step explanation:

Answer:

-2x-3(6x-11)=-7

-2x-18x+33=-7

-20x+33=-7

-20x=-40

x=2

y=6(2)-11

y=12-11

y=1

Answer:

60

Step-by-step explanation:

Answer:

24.5-9-6

Step-by-step explanation:

Answer:

Im not sure what u mean sry is there an = sign somewhere cuz that does not make sence

Step-by-step explanation: