Create an algebraic equation for the word problem below:

Canadian Tire is selling coffee mugs. A coffee mug costs $5 and each day the price increases by $2.

Answer:

[tex]\boxed{x = -7~~and~~ y =-7}[/tex]

Step-by-step explanation:

y = 3x + 14

y = x

.

x = 3x + 14

3x - x = -14

2x = -14

[tex]x = \frac{-14}{2}[/tex]

x = -7

.

y = x

y = -7

Answer:

x = 7 and y = -7

Step-by-step explanation:

use substitution method

Answer:

4/3 yards

Step-by-step explanation:

Given that:

Area of rectangle = 2/3 yd²

Width = 1/2 yards

The length of the rectangle =?

Let length of rectangle = x

Recall :

Area of rectangle = Length * width

2/3 = x * 1/2

2/3 = x/2

Multiply both sides by 2

2/3 * 2 = x/2 * 2

4 /3 = x

Hence, length of the rectangle = 4/3 yards

Answer:

5 units

Step-by-step explanation:

Let point O be the point of intersection of the kite diagonals.

|OF| = 2, |OH| = 5

|FH| = |OF| + |OH| = 2 + 5 = 7

FH and EG are the diagonals of the kite. Hence the area of thee kite is:

Area of kite EFGH = (FH * EG) / 2

Substituting:

35 = (7 * |EG|) / 2

|EG| * 7 = 70

|EG| = 10 units

The longer diagonal of a kite bisects the shorter one, therefore |GO| = |EO| = 10 / 2 = 5 units

x = |GO| = |EO| = 5 units

Answer:

5 units

Step-by-step explanation:

just took the test

Answer:

Length of shorter leg is 8 inches

Step-by-step explanation:

Here, we want to calculate the length of the shorter leg of a 30-60-90 triangle

In a 30-60-90 triangle, the sides are in the ratio;

1: √3 : 2

So the ratio of the length of the shorter and longer leg is;

1 : √3

So in this case let the shorter leg be x

x/8 √3 = 1/√3

8 √3 * 1 = √3 * x

x = 8 √3/√3

x = 8 inches

Answer:

The system of inequalities are;

p + s ≥ 5

22.49s + 34.99p ≤ 200

Where P represents number of dress pants and s represents the number of sweaters

Step-by-step explanation:

Here, we want to write system of inequalities

Let the number of sweaters be s and the number of pants be p

She wants to purchase at least 5 items

When we have at least, it means that it might be greater than or equal to that value

Thus;

p + s ≥ 5

Secondly, at most the amount to be spent is the value on the gift card which is 200

Thus;

we have;

22.49s + 34.99d ≤ 200

Answer:

A: Yes, because it passes the vertical line test.

Step-by-step explanation:

There are no repeating numbers of x, so therefore, it passes the vertical line test and it is a function.

Answer:

Step-by-step explanation:

we use the formula

(116*100)/35=331.43

Answer:

about 331.43

Step-by-step explanation:

116(100)/35=331.43

Step-by-step explanation:

answer: counterclockwise rotation about the origin by 90degrees followed by reflection about the x-axis.

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Answer:

12

Step-by-step explanation:

Given that:

Quantity of squash that each person gets = [tex]\frac{3}{4}[/tex] pounds

Total quantity of squash present = 9 pounds

To find:

The total number of people such that the squash can be evenly split.

Solution:

To find the total number of people such that the squash can be evenly split, we need to divide the total quantity of squash with the quantity of squash that each person gets.

Therefore, the dividend is the total quantity i.e. 9 pounds.

Divisor is the quantity that a person gets i.e. [tex]\bold{\frac{3}{4}}[/tex].

The division problem is:

[tex]\dfrac{9}{\frac{3}4}[/tex]

It can be written as:

[tex]\dfrac{9\times 4}{3}\\\Rightarrow \bold{12 }[/tex]

The quotient is 12.

12 number of people can evenly split the 9 pounds of squash if each person gets [tex]\frac{3}4[/tex] pounds of squash.

Answer:

the answer is 12

Step-by-step explanation:

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Answer:

what's the question that your asking

Answer:

1 I think.

Step-by-step explanation:

Answer: 1

Step-by-step explanation:

Given Equation

(3 + 6)2 + ((17 + 8) - 42)

We will simplify to get the answer.

[tex]= (9)[/tex] × [tex](2) + 17 + 8 - 42[/tex]

= [tex]18+17+8-42[/tex]

= [tex]18 + 25 - 42[/tex]

= [tex]18 + -17[/tex]

= 1

The answer to the question is 1.

Answer:

Step-by-step explanation:

BF = 24

BH = ?

BH = 2/3 BF

BH = 2/3 24

BH = 16

Answer:

Option (D) is correct.

Step-by-step explanation:

We know that exponential decline in Math can be termed as a consistent reduction of an amount by percentage over a certain period of time.

It can be expressed using the formula

y = a (1-b)ˣ

here

Now, map our problem using the same concept formula

as

3000 students were enrolled, so

as High School has been experiencing an annual  decline of 2.2% in enrollment, so

so substituting b = 0.022 and a = 3000

y = a (1-b)ˣ

y = 3000 (1 - 0.022)ˣ

as

so the expression becomes

y = 3000 (0.978)ˣ

Therefore, option (D) is correct.

Step-by-step explanation:

2x+10+3x+10=180

5x=160

x=32

2x+10

2×32+10

74

3x+10

3×32+10

106

Answer:

8.50 gallons of gas.

Step-by-step explanation:

The slope in this scenario is -1.25 gallons per mile, this means that for every mile that Evin drives she is wasting 1.25 gallons of gasoline. Since she only drove 1 hour at the begining and after that hour her tank had 7.25 gallons, then we can simply add 1.25 gallons to her tank at this moment to make up for the 1 hour she drove and that would give us the total amount of gas she had before she started driving.

7.25 + 1.25 = 8.50 gallons of gas.

Evin was losing gas at a rate of 1.25 gallons per hour and she started with 8.5 gallons.

A linear equation is given by:

y = mx + b;

where y, x are variables, m is the rate of change and b is the y intercept.

Let y represent the amount of gallons left after x hours.

She notices that after 1 hour her gas tank has 7.25 gallons left. Hence:

7.25 = m(1) + b

m + b = 7.25   (1)

After 4 hours of driving, it has 3.5 gallons of gas left in it. Hence:

3.5 = 4(m) + b

4m + b = 3.5   (2)

Solving equations 1 and 2 simultaneously gives m = -1.25, b = 8.5

Hence Evin was losing gas at a rate of 1.25 gallons per hour and she started with 8.5 gallons.

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Answer:

its 0 slope

Step-by-step explanation:

Answer:

The average cost of one mango = c = ₦8

Step-by-step explanation:

Let 'c' be the average cost of one mango

The original amount Idahtonye has = ₦50.00

The amount of mangoes Idahtonye buys = 6 mangoes

As he gets back the change of ₦2 after paying ₦50.00 to buy 5 mangoes.

Thus the equation becomes

50 - 2 = 6c

48 = 6c

dividing both sides by 6

48/6 = 6c/6

c = 8 ₦

Therefore, the average cost of one mango = c = ₦8

Answer:

9.2

Step-by-step explanation:

Since it is a right triangle, we can use pythagorean theorem to figure out the hypotenuse length.

a^2 + b^2 = c^2

6^2 + 7^2 = c^2

36 + 49 = c^2

c^2 = 85

square root both sides get

c= 9.219, rounded to nearest tenth is 9.2

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Step-by-step explanation:

The number is 9.219

and nearest number is 9.2

Step-by-step explanation:

slope= -a/b

=-4/8

-1/2

Answer:

the correct answer is true

If you know about the power rule,

d/dw (2w² + 1) = 2 d/dw (w²) = 2 • 2w = 4w

If you have to use the limit definition of the derivative, let f(w) = 2w² + 1. Then

[tex]f'(w)=\displaystyle\lim_{h\to0}\frac{f(w+h)-f(w)}h[/tex]

[tex]f'(w)=\displaystyle\lim_{h\to0}\frac{(2(w+h)^2+1)-(2w^2+1)}h[/tex]

[tex]f'(w)=\displaystyle\lim_{h\to0}\frac{2(w^2+2wh+h^2)-2w^2}h[/tex]

[tex]f'(w)=\displaystyle\lim_{h\to0}\frac{4wh+2h^2}h[/tex]

[tex]f'(w)=\displaystyle\lim_{h\to0}(4w+2h)=\boxed{4w}[/tex]

Answer:

7. 250%

8. 400%

9. 667%

10. 769%

11. 263%

12. 125%

13. 137%

14. 526%

Step-by-step explanation:

divide the first number by the second number, then multiply that answer by 100

so kind of like: Number1 ÷ Number2 = x

then you do x × 100

and that's your answer

(all of my answers are rounded to the nearest percent)

Answer:

7) 40 Percent   8) 25 Percent   9) 25 Percent   10) 112 Percent

11) 38 Percent   12) 800 Percent   13) 73 Percent  14) 19 Percent

Step-by-step explanation:

I hope this helps :)

Answer:

x=8

Step-by-step explanation:

8x8-24= 40

6x8+10=58

Answer:

y-5=1/3(x-6)

Step-by-step explanation:

SO find the slope first

ANd then just fill out the point slope formula

Answer:

[tex]\qquad{:}\longrightarrow\tt f (x)=3 (x-2)[/tex]

[tex]\qquad{:}\longrightarrow\tt f (t)=3 (t-2)[/tex]

[tex]\qquad{:}\longrightarrow\tt f(t)=6 [/tex]

[tex]\qquad{:}\longrightarrow\tt 3 (t-2)=6 [/tex]

[tex]\qquad{:}\longrightarrow\tt 3t-2=6[/tex]

[tex]\qquad{:}\longrightarrow\tt 3t=6+2 [/tex]

[tex]\qquad{:}\longrightarrow\tt 3t=8 [/tex]

[tex]\qquad{:}\longrightarrow\tt t=\dfrac{8}{3}[/tex]

[tex]\therefore\sf t=\dfrac{8}{3}[/tex]

The ladder will reach 11.82 ft high of the wall of his house.

The situation will form a right angle triangle. Therefore,

The length of the ladder is the hypotenuse of the triangle formed.

The height of the wall is the opposite side of the triangle.

Therefore,

using trigonometric ratio,

sin 80°  = opposite / hypotenuse

sin 80° = h / 12

cross multiply

h = 12 sin 80°

h = 12 × 0.98480775301

h = 11.8176930361

height of the wall ≈ 11.82 ft

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Answer with what

Step-by-step explanation: