Enter the number that makes the equation true

Answer:

Step-by-step explanation:

Let's actually solve the equation.  By doing so we should readily see which of the given equatins are not part of the solution.

7x - 8 - 5x = 52 becomes 2x - 8 = 52 if we consolidate the x terms.  Next, we consolidate the constant terms on the right, obtaining 2x = 60.

Then x = 30 is the solution.

12x = 60 would not be part of the solution.

12x = 44 would not either.

12x - 8 = 52 would not either.

x = 5 would not be part of the solution.

Again:  The solution is x = 30.

Answer:

b = 5

Step-by-step explanation:

Whatever you do to one side, you must do to the other side in order to make the equation stay true.

1. Subtract 22 from both sides.

-3b + 22 - 22 = 7 - 22

-3b = -15

2. Divide both sides by -3.

-3b/-3 = -15/-3

b = 5

^ That's the final answer!

F is a point which is greater than zero and F must be in the location of 1/11 and it can be determine by using arithmetic operations.

Given that:

F partitions the directed line segment from D to E into a 4 : 5 ratio.

Given that F partitions the directed line segment from D to E into a 4 : 5 ratio therefore, total segments is,

4 + 5 = 9

From point D to E in the given line segment there are 9 units.

To divide the line segment of 9 unit into 9 unit, first find the distance between two units, that is:

9 / 9 = 1

1 x 5 = 5

Now, it can be say that F is a point which is greater than zero and F must be in the location of 1/11.

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2(9t + 2) + 9 + 9 =

= 18t + 18 + 9 + 9 = 18t + 36 ← the end

Answer: y+7=-4(x-2)

Step-by-step explanation:

point slope formula is y-y1=m(x-x1)

it gives you m = -4

(x1,y1) = (-1,-7)

y-(-7) = -4(x-2)

negative of a negative number is positive

y+7=-4(x-2)

you leave that as your answer because thats  what point slope for is

its in that form ^  

The equation in point slope form for a linear function is \(y=4x+15\)

Given the following points:

To write an equation in point slope form for a linear function:

The standard form of an equation of line is given by the formula;

\(y-y_1=m(x-x_1)\)

Where:

Substituting the given parameters into the formula, we have;

\(y-(-7)=-4(x-2)\\\\y+7=4x-8\\\\y=4x-8+7\\\\y=4x+15\)

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The range of the function is a set of positive values greater than 500 and 60.

Therefore, the range of the function is given by:

Range = {c(t) : c(t) > 500, c(t) > 60t} or {c(t) : c(t) > 500, c(t) > 60}.

The given situation of a cell phone company charges $500 for a new phone and then $60 each month after the purchase.

If c (t) is a rational function that represents the average monthly cost of owning the cell phone, the range of the function is given by:

Range = {c(t) : c(t) > 500, c(t) > 60t} or {c(t) : c(t) > 500, c(t) > 60}

The cell phone company charges a one-time amount of $500 and $60 each month after the purchase.

It is given that c (t) represents the average monthly cost of owning the cell phone.

From this information, it can be inferred that the average monthly cost of owning the cell phone is given by: c(t) = (500 + 60t)/t

The given function is a rational function that represents the average monthly cost of owning the cell phone.

The range of a function is the set of all possible values of the function.

The average monthly cost of owning the cell phone is a positive value.

Hence the range of the function is a set of positive values greater than 500 and 60.

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Answer:

Step-by-step explanation:

To find the normal plane and osculating plane, we first need to find the required derivatives.

x = 5t, y = t^2, z = t^3

dx/dt = 5, dy/dt = 2t, dz/dt = 3t^2

So, the velocity vector v and acceleration vector a are:

v = <5, 2t, 3t^2>

a = <0, 2, 6t>

Now, let's evaluate them at t = 1 since the point (5, 1, 1) is given.

v(1) = <5, 2, 3>

a(1) = <0, 2, 6>

The normal vector N is the unit vector in the direction of a:

N = a/|a| = <0, 1/√10, 3/√10>

Using the point-normal form of the equation for a plane:

normal plane equation = 0(x-5) + 1/√10(y-1) + 3/√10(z-1) = 0

Simplifying this equation we get:

5x + 2y + 3z = 30

The osculating plane can be found using the formula:

osculating plane equation = r(t) · [(r(t) x r''(t))] = 0

where r(t) is the position vector, and x is the cross product.

At t = 1, the position vector r(1) is <5, 1, 1>, v(1) is <5, 2, 3>, and a(1) is <0, 2, 6>.

r(1) x v(1) = <-1, 22, -5>

r(1) x a(1) = <12, -6, -10>

v(1) x a(1) = <-12, 0, 10>

Substituting these values into the formula, we get:

osculating plane equation = (x-5, y-1, z-1) · <12, -6, -10> = 0

Simplifying this equation we get:

3x - 15y + 5z = 5

Therefore, the equations for the normal plane and osculating plane at (5, 1, 1) are:

(a) 5x + 2y + 3z = 30

(b) 3x - 15y + 5z = 5

Mike's monthly payments are approximately $19,407.43. At the end of the 5-year term (time 60), Mike owes approximately $1,048,446.96.

To solve the given problem, we can use the formula for calculating the monthly mortgage payments:

P = (r * A) / (1 - (1 + r)^(-n))

Where:
P = Monthly payment
r = Monthly interest rate
A = Loan amount
n = Total number of payments

First, let's calculate the monthly interest rate. The nominal interest rate is given as 1.8%, which means the monthly interest rate is 1.8% divided by 12 (number of months in a year):

r = 1.8% / 12 = 0.015

Next, let's calculate the total number of payments. The mortgage has a 30-year amortization period, which means there will be 30 years * 12 months = 360 monthly payments.

n = 360

Now, let's calculate Mike's monthly payments using the formula:

P = (0.015 * (1.3m - 300k)) / (1 - (1 + 0.015)^(-360))

Substituting the values:

P = (0.015 * (1,300,000 - 300,000)) / (1 - (1 + 0.015)^(-360))

Simplifying the expression:

P = (0.015 * 1,000,000) / (1 - (1 + 0.015)^(-360))

P = 15,000 / (1 - (1 + 0.015)^(-360))

Calculating further:

P = 15,000 / (1 - (1.015)^(-360))

P ≈ 15,000 / (1 - 0.22744)

P ≈ 15,000 / 0.77256

P ≈ 19,407.43

Therefore, Mike's monthly payments are approximately $19,407.43.

To calculate the balance at time 60, we can use the formula for calculating the remaining loan balance after t payments:

Bt = P * ((1 - (1 + r)^(-(n-t)))) / r

Where:
Bt = Balance at time t
P = Monthly payment
r = Monthly interest rate
n = Total number of payments
t = Number of payments made

Substituting the values:

B60 = 19,407.43 * ((1 - (1 + 0.015)^(-(360-60)))) / 0.015

B60 = 19,407.43 * ((1 - (1.015)^(-300))) / 0.015

B60 ≈ 19,407.43 * ((1 - 0.19025)) / 0.015

B60 ≈ 19,407.43 * 0.80975 / 0.015

B60 ≈ 19,407.43 * 53.9833

B60 ≈ 1,048,446.96

Therefore, at the end of the 5-year term (time 60), Mike owes approximately $1,048,446.96.

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Step-by-step explanation:

10^9 ÷ 10^7

10^9-7

10^2

10^2 is the correct answer

Answer:

-7y + 4x + 14

Step-by-step explanation:

We first need to simplify the expression removing parentheses

Simplify -7(y - 2):  Distribute the -7 to each term in (y-2)

-7 * y = (-7 * 1)y = -7y

-7 * -2 = (-7 * -2) = 14

Our Total expanded term is -7y + 14

Simplify x(9 - 5):  Distribute the x to each term in (9-5)

x * 9 = (1 * 9)x = 9x

x * -5 = (1 * -5)x = -5x

Our Total expanded term is 9x-5x

Our updated term to work with is -7y + 14 + 9x - 5x

Evaluate the y terms:

-7y  ← There is only one y term

Evaluate the x terms:

9x + - 5x

(9 - 5)x

4x

Evaluate the constants:

14  ← There is only one constant

Combining all like terms, we get:

-7y + 4x + 14

Analyze the 3 terms of the polynomial -7y + 4x + 14

================================================

Work Shown:

M = number of miles

L = cost to rent a luxury car = 1.15M + 16.40

E = cost to rent an economy car = 0.80M+10.95

C = difference in price

C = L - E

C = (1.15M + 16.40) - (0.80M+10.95)

C = 1.15M + 16.40 - 0.80M-10.95

C = 0.35M + 5.45

Don't forget to distribute the negative to each term in the second parenthesis.

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

Optional Section:

Let's say you drove M = 100 miles as an example.

The luxury car would cost L = 1.15M+16.40 = 1.15*100+16.40 = 131.40 dollars to rent.

The economy car would cost E = 0.80M+10.95 = 0.80*100+10.95 = 90.95 dollars to rent.

The difference in rental costs is L-E = 131.40-90.95 = 40.45 dollars.

Or you could say C = 0.35M+5.45 = 0.35*100+5.45 = 40.45

This means you pay $40.45 more if you go for a luxury car instead of an economy car.

Answer:

1= false

2= one sloution

3=All real numbers are solutions.

4=No real solutions.

Step-by-step explanation:

hope this helps

Jill earned $207 last week for picking 370 containers.

According to the information given, Jill picks corn and is paid at a piecework rate.

She receives 55 cents per container for the first 300 containers picked, and then she receives 60 cents per container for every container picked beyond 300.

Last week, Jill picked 370 containers. To calculate how much she earned, we can break it down into two parts:

the first 300 containers and the remaining 70 containers.

For the first 300 containers, Jill earns 55 cents per container. So, the amount she earned for the first 300 containers is:

300 containers x $0.55/container = $165

For the remaining 70 containers, Jill earns 60 cents per container. So, the amount she earned for the remaining 70 containers is:

70 containers x $0.60/container = $42

To find out the total amount Jill earned, we add the amounts she earned for the first 300 containers and the remaining 70 containers:

$165 + $42 = $207

Therefore, Jill earned $207 last week for picking 370 containers.

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Step-by-step explanation:

b and c

...................

Answer:

B.) 20.020

C.) 20.02

D.) 20.2

Step-by-step explanation:

2 x 10 = 20

2 x 1/100 + 20 = 20_1/50

20 x 50 + 1 = 1001

1001/50 = 20.02

or

20.2 (the 0 does not need to be there because the answer is the same  without it.)

or

20.020 (the last 0 does not need to be there because the answer is the same without it.)

Answer:

y=6

Step-by-step explanation:

75-3.5y-4y=4y+6

combine like terms)

75+(-3.5y-4y)=4y+6

75-7.5y=4y+6

add 4y to each side to combine the terms) 75+(-7.5y-4y)=6

75-11.5y=6

subtract 75 from each side to isolate the variable) -11.5y=-69

divide by -11.5 to isolate the variable) -11.5y/-11.5=-69/-11.5

y=6

Answer:

B..

lol

Step-by-step explanation:

The odds of selecting a red 9 is 1/26.

Probability of an event E is represented by P(E)  can be defined as (the number of favorable outcomes) / (Total number of outcomes).

Given the total number of cards in a standard deck = 52

there can be  only two red9 as one 9 from heart and one red from diamond.

So the number of outcome for red 9 =2

the probability of odds of selecting red 9 is \(\frac{2}{52}\) which can be further simplified into \(\frac{1}{26}\).

Therefore , The odds of selecting a red 9 is 1/26.

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Answer:

\(\frac{5}{1/2}\), 12, \(\frac{8}{3/4}\), 10

Step-by-step explanation:

\(4x\geq 35\)

\(x \geq \frac{35}{4}\)

\(x \geq 8 \frac{3}{4}\)

so

\(\frac{5}{1/2}\) = 10

12

\(\frac{8}{3/4}\) = 10.66

and 10

Because saying 5 over 1/2 is saying 5 divided by 1/2 which is the same as saying 5 * 2

8 over 3/4 is 8 divided by 3/4 which is 8 * 1.33.

A fraction is division. If you mean 5 and 1/2 as well as 8 and 3/4 then remove 5 and 1/2 from the answer.

Answer:

[B] $6.88

Step-by-step explanation:

Answer:

it is 3 1/2

Step-by-step explanation:

Answer:

14 3/8

Step-by-step explanation:

i think this is right im only in middle school so if it is wrong i won't be suprised

Answer:

width is 3.56

Step-by-step explanation:

Area is = width x length

so Area/length

so 56.96/16=3.56

The width of the rectangle is 3.56 m and the perimeter is 39.12 m.

To find the width of the rectangle,

We need to use the formula for the area of a rectangle, which is:

Area = Length x Width

We know that the area of the rectangle is 56.96 m², and the length is 16 m. So,

We can substitute these values into the formula and solve for the width:

56.96 m² = 16 m x Width

Width = 56.96 m² / 16 m

Width = 3.56 m

Therefore, the width of the rectangle is 3.56 m.

To find the perimeter of the rectangle,

We need to use the formula:

Perimeter = 2 x Length + 2 x Width

We know that the length is 16 m and the width is 3.56 m,

So we can substitute these values into the formula and solve for the perimeter:

Perimeter = 2 x 16 m + 2 x 3.56 m

Perimeter = 32 m + 7.12 m

Perimeter = 39.12 m

Therefore, the perimeter of the rectangle is 39.12 m.

In conclusion, the width of the rectangle is 3.56 m and the perimeter is 39.12 m when the area is 56.96 m² and the length is 16 m.

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Answer:

one on the y axis 5 and then go two down and one to the right and that's the answer

Answer:

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

From the question the original line is

y = - ⅔x + 12

Comparing with the general equation above

Slope = -⅔

Since the lines are parallel their slope are also the same

Slope of parallel line = - ⅔

The equation of the line using point

(6, –11) and slope - ⅔ is

\(y + 11 = - \frac{2}{3} (x - 6) \\ y + 11 = - \frac{2}{3} x + 4 \\ y = - \frac{2}{3} x + 4 - 11\)

We have the final answer as

\(y = - \frac{2}{ 3 } x - 7 \\ \)

Hope this helps you

Answer:

1/2

Step-by-step explanation:

'%' literally means 'out of 100'. So if it is 50 out of 100, we can write it as 50/100. This can then be simplified down to 1/2.

Answer:

50% can be written as 50/100 or can be simplified and written as 25/50 or 5/25 or 1/5.

If you want to write it as a whole number, you can divide the fraction of 50% ex:- 1/5. So, the whole number you get is 1/5 = 0.2.

The correct answer is (a) event. An event is a subset of outcomes from the sample space. It represents a specific outcome or set of outcomes that we are interested in. Events can be simple, consisting of a single outcome, or they can be compound, consisting of multiple outcomes.

For example, consider rolling a fair six-sided die. The sample space is {1, 2, 3, 4, 5, 6}. Let's say we are interested in the event of rolling an even number. The event in this case would be {2, 4, 6}, which is a subset of the sample space.

Events can also be mutually exclusive, meaning they cannot occur at the same time, or they can be independent, meaning the occurrence of one event does not affect the probability of the other event occurring.

In summary, an event is a subset of outcomes from the sample space and represents a specific outcome or set of outcomes that we are interested in. It is an important concept in probability theory.

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Answer:

B

Step-by-step explanation:

M is a factor of N and \((1+r)^t\), which is not influenced by N. This is because N is just the initial amount of people, and does not change no matter the rate of new members. Hope this helps!

Answer:

\(4g^{12}\)

Step-by-step explanation:

if it is just 2(4-2) then it will be 4