The total cost of renting a vacation
home includes a deposit and a daily
rental fee of $125. A family rents a
vacation home for 5 days and pays $700.
Assume the relationship is linear. Find
and interpret the rate of change and the
initial value.​

Answer:

Step-by-step explanation:

5 1/4 or 525

Answer:

3.75 or 3 [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

just divide

Answer:

x=0.64

y=0.94

Step-by-step explanation:

x price of one donut

y price of one large coffee

To determine x and y you have to solve this system:

5x+2y=5.08

2x+3y=4.10.

:)

Answer:

3, -19 is the answer

Step-by-step explanation:

solved it

Answer:

Its D

Step-by-step explanation:

look above

Answer:

$309

Step-by-step explanation:

Use the formula for simple interest: [tex]A = P(1+rt)[/tex]

A represents total amount, unknown in this case.

P represents principal, or starting amount, 300 in this case.

r represents the interest rate in decimal form, 3% in this case, or 0.03.

t represents time, usually in years, 1 in this case.

[tex]A = P(1+rt)[/tex]

[tex]A = 300(1+(0.03)(1))[/tex]

[tex]A = 300(1.03)[/tex]

[tex]A = 309[/tex]

Gwen will owe $309.

Answer:

105

Tropical fish:75%

60 clownfish included in shipment

Step 1 :Multiply 75%×60

Step 2:Simplify 60×75÷100=6×75/10=450/10=45

Step 3:Add 60+45=105

Answer:

[tex]m\angle B=34\°[/tex]

Step-by-step explanation:

Given measures of 2 angles of a triangle :

m∠A = 69°

m∠C = 79°

Find m∠B.

We know that sum of angles of a triangle =180°

So, we have

[tex]m\angle A+m\angle B+m\angle C=180\°[/tex]

Substituting the vales of m∠A = 69° and m∠C = 79°

[tex]69\°+m\angle B+77\°=180\°[/tex]

Adding like terms.

[tex]m\angle B+146\°=180\°[/tex]

Subtracting both sides by 146°.

[tex]m\angle B+146\°-146\°=180\°-146\°[/tex]

∴ [tex]m\angle B=34\°[/tex] (Answer)

Answer:

A

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 3 = 4(x + 8) ← is in point- slope form

with slope m = 4 and (a, b) = (- 8, 3) → A

The amount saved per week is $15 assuming a constant saving rate per week.

Assume she has saved at a constant rate ;

The amount saved per week is $15

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Final answer:

Mindy saved $90 over 6 weeks, suggesting a constant rate of saving $15 per week. The proportional relationship between her total savings (y) and the number of weeks (x) is y = 15x.

Explanation:

Mindy started with $0 and after six weeks had $90. To find the proportional relationship between the money saved and the number of weeks, we assume that she saves the same amount every week. Since we know the total savings and the total time, we can divide the total savings by the number of weeks to find the constant rate.

Mindy's weekly saving rate would be:

Calculate the total amount saved: $90.

Divide the total amount by the number of weeks: $90 ÷ 6 weeks.

The result is $15 per week.

Therefore, the constant rate of saving is $15 per week. The proportional relationship can be represented as y = 15x, where y represents the total amount saved and x represents the number of weeks.

Answer:

x = 5/4

Step-by-step explanation:

We can solve for x by isolating it from the other numbers. Move everything else over to the other side in reverse BEDMAS order.

[tex]\frac{2}{3}x + \frac{1}{6}  = 1[/tex]

[tex]\frac{4}{6}x + \frac{1}{6}  = 1[/tex]    Give the fractions common denominators

[tex]\frac{4}{6}x + \frac{1}{6}  - \frac{1}{6} = 1 - \frac{1}{6}[/tex]  Subtract 1/6 from both sides

[tex]\frac{4}{6}x  = 1 - \frac{1}{6}[/tex]   1/6 is cancelled out on the left side

[tex]\frac{4}{6}x  = \frac{5}{6}[/tex]    Simplify the right side

[tex]\frac{\frac{4}{6}x}{4/6}  = \frac{\frac{5}{6}}{4/6}[/tex] Divide both sides by 4/6

[tex]\frac{4}{6}x X\frac{6}{4} = \frac{5}{6} X\frac{6}{4}[/tex]   Dividing is like multiplying by the flipped second fraction on both sides

[tex]\frac{24}{24}x  = \frac{30}{24} [/tex]   Simplify. 24/24 = 1 and reduce 30/24

[tex]x  = \frac{5}{4} [/tex]  Final answer

Answer:

Step-by-step explanation:

1.772

Answer:0.13

Step-by-step explanation:i think

The cost of each apple is given by the rate. Then the cost of each apple will be $0.13 per apple.

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

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

Alexa brought 32 apples for $4.16.

Then the cost of each apple rate will be given as,

Rate = $4.16 / 32

Rate = $0.13 for each apple

The cost of each apple is given by the rate. Then the cost of each apple will be $0.13 per apple.

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144/168

reduce the fraction by dividing by 4

144/4= 36

168/4= 42

36/42 - reduce by dividing by 6

36/6= 6

42/6= 7

answer:

6/7

Answer:

As the first term is 11, and the sequence increases by a common difference of 11, it can be modelled with the equation 11+(n-1)(11) where n is the nth term

Hence the 100th term is 11+ 99(11)= 1100

Answer:

The required expression is [tex]\frac{y}{4}-3[/tex].

The value of the expression when y=20 is 2.

Step-by-step explanation:

Consider the provided phase.

3 less than the quotient of a number y and 4

The quotient of a number y and 4 can be written as: [tex]\frac{y}{4}[/tex]

Now 3 less than the quotient of a number y and 4  can be written as:

[tex]\frac{y}{4}-3[/tex]

Hence, the required expression is [tex]\frac{y}{4}-3[/tex].

Now evaluate when y=20.

Substitute y=20 in above expression.

[tex]\frac{20}{4}-3[/tex]

[tex]5-3[/tex]

[tex]2[/tex]

Hence, the value of the expression when y=20 is 2.

Answer:

x-intercept: (-5,0)

y-intercept: (0,3)

Step-by-step explanation:

y-intercept: when x = 0

-3(0) + 5y = 15

5y = 15

y = 3

x-intercept: when y = 0

-3x + 5(0) = 15

-3x = 15

x = -5

Answer:

Step-by-step explanation:

To find the x-intercept of – 3x + 5y = 15, let y = 0 and solve the remaining equation for x:  – 3x + 5(0) = 15

Then -3x = 15, and x = -5.  Thus, the x-intercept is (-5, 0).

to find the y-intercept of – 3x + 5y = 15, set x = 0 and solve the remaining equation for y:  5y = 15, so that y = 3.  The y-intercept is (0, 3).

Answer:

The answer in the attached figure

Step-by-step explanation:

we know that

The solution of a system of linear equations is the intersection point both graphs.

If both graphs has one intersection point , then the system has only one solution

If both graphs have no intersection point, (parallel lines) then the system has no solution.

If both graphs are equal, (identical lines) then the system has infinitely solutions.

The answer in the attached figure

Answer:

A= -4

B= 4

C= 1/4

D= -1/4

Step-by-step explanation:

I see u counted which is good. remember it's rise over run so for a u got up down 4 over 1. that's why the slope would be -4. You figure out the other ones the same way.

Answer:

The correct one is the first one

The domain for N is All integers where n ≥ 1

Solution:

According to statement a1 = 2 and r = 4. This shows that r is greater than 1.

If r is greater than 1 than it includes integers greater than 1 or equal to 1. It does not include all the real numbers because real numbers include negative numbers also.

If starting value is 2, if we put n=0, then we get 2, but if we put a negative value than we would get a number which is not a part of our sequence.

Thus the domain of n is All integers where n greater than or equal to 1

Answer:

The x-coordinate of point P is 6

Step-by-step explanation:

we have

A (2,3) and B (8,0)

we know that

Point P portions the segment AB in the ratio 2 to 1

so

[tex]AP=\frac{2}{3} AB[/tex]

and

[tex]AP_x=\frac{2}{3} AB_x[/tex]

where

AP_x represent the distance between the points A and P in the x-coordinates

AB_x represent the distance between the points A and B in the x-coordinates

[tex]AB_x=8-2=6\ units[/tex]

[tex]AP_x=\frac{2}{3} (6)=4\ units[/tex]

The x-coordinate of P is equal to

[tex]P_x=A_x+AP_x[/tex]

where

A_x represent the x-coordinate of A

substitute the values

[tex]P_x=2+4=6[/tex]

therefore

The x-coordinate of point P is 6

Answer:

5417.412, 401.103

Step-by-step explanation:

In the first part we are given the following mathematical operation:

[tex]5 \times 10^{3} + 4 \times 10^{2} + 1 \times 10^{1} + 7 \times 10^{0} + 4 \times \frac{1}{10^{1} } + 1 \times \frac{1}{10^{2} } + 2 \times \frac{1}{10^{3} }[/tex]

= 5000 + 400 + 10 + 7 + 0.4 + 0.01 + 0.002

= 5417.412 (Answer)

In the second part we are given the following mathematical operation:

[tex]4 \times 10^{2} + 1 \times 1\frac{1}{10^{1} } + 3 \times \frac{1}{10^{3} }[/tex]

= 400 + 1.1 + 0.003

= 401.103 (Answer)

3*10^7 routers will be needed for 9 billion devices

Step-by-step explanation:

Given

[tex]Total Devices = 9\ billion =  9*10^9\ devices\\[/tex]

1 router supports 300 devices

So we have to divide the total number of devices by the devices supported by 1 router to find the number of routers

So,

[tex]Total\ number\ of\ routers= \frac{Devices}{Devices\ with\ one router}\\=\frac{9*10^9}{300}\\=\frac{900*10^7}{300}\\=3*10^7\ routers[/tex]

Hence,

3*10^7 routers will be needed for 9 billion devices

Keywords: Routers, devices

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Answer:

x = 4

Step-by-step explanation:

Given that the triangle is equilateral then the measure of each angle is 60°

Equate 9x + 24 to 60 and solve for x

9x + 24 = 60 ( subtract 24 from each side )

9x = 36 ( divide both sides by 9 )

x = 4

Answer:

yes it does have a negative slope

Step-by-step explanation:

Final answer:

The equation y=6x - 4 does not have a negative slope; instead, it has a positive slope because the coefficient of x is positive, indicating that y increases as x increases.

Explanation:

The math equation given is y=6x - 4. To determine whether it has a negative slope or not, we look at the coefficient of x, which in this case is 6. A negative slope indicates that as x increases, y decreases, and vice versa. However, since the coefficient of x here is positive (6), this line has a positive slope, not a negative one. Therefore, it means that as x increases, y also increases, which is characteristic of a positive relationship between x and y.

It is important to note that a line with a negative slope would have a negative coefficient of x. The slope is the number that is multiplying the x variable, and it represents the rate of change of y with respect to x. Graphically, a line with a positive slope, such as this one, will rise as it moves from left to right on a graph.

Answer:

The answer is B

Step-by-step explanation:

Edge 2022

Answer:

Emma was right to say that both packages are close to 2 pounds.

If we round-off the weights of both to the nearest whole number we would get 2 pounds on both. We look at the the difference of both from 2 pounds we get the following:

2.36 - 2.0 = 0.36

2.09 - 2.0 = 0.09

The smaller the difference the closer it is to the base value. So we can say that the closest one is 2.0 pounds is the package that weighs 2.09 pounds.

The surface area to be covered with stucco is 25.91 square metres.

To find the surface area to be covered with stucco, we need to calculate the area of each wall and subtract the areas of the car door, side door, and window. The garage has four walls, so we will calculate the area of each wall and add them together. The area of each wall is the product of its length and height. Once we have the total area of the walls, we can subtract the areas of the car door, side door, and window to determine the final surface area to be covered with stucco.

Wall 1: 5 m * 2 m = 10 m²

Wall 2: 5 m * 2 m = 10 m²

Wall 3: 5 m * 2 m = 10 m²

Wall 4: 5 m * 2 m = 10 m²

Total area of walls: 10 m² + 10 m² + 10 m² + 10 m² = 40 m²

Area of car door: 5 m * 2.3 m = 11.5 m²

Area of side door: 2.1 m * 0.9 m = 1.89 m²

Area of window: 1 m * 0.7 m = 0.7 m²

Final surface area to be covered with stucco: 40 m² - 11.5 m² - 1.89 m² - 0.7 m² = <<25.91=25.91>>25.91 m² (rounded to the nearest square metre).

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Answer:

8.) Not a function

9.) Is a function

Step-by-step explanation:

In order for a set of coordinates to be a function, the y cannot be repeated.

In number 8, there is (3,1) and (9,1)

Not a function

In number 9, each coordinate is unique and doesn't repeat the y.

Is a function