A jet ski rental company charges a $100 rental fee, plus $20 per hour. Write and dole an equation to determine how many hours you can rent the jet ski for it if you have a budget of $175.
Solve the word problem

Factor out y in xy+8y and factor out 7 in 7x+56

y(x+8) + 7(x+8)

(x+8)(y+7)

The expression xy + 8y + 7x + 56 is factored by grouping into (y + 7)(x + 8), by first factoring out the greatest common factors from each grouped pair and then recognizing a common binomial that can be factored out.

The question involves the topic of factorization by grouping, which is a method used in algebra to simplify expressions by finding common factors. The student is asked to factor the expression xy + 8y + 7x + 56. This expression can be factored by grouping in pairs and finding common factors within each group, after which the resulting expressions will also have a common factor that can be factored out.

Step-by-step solution:

Group the terms: (xy + 8y) + (7x + 56).

Factor out the greatest common factor from each group: y(x + 8) + 7(x + 8).

Notice that (x + 8) is a common factor and can be factored out again, which gives us the final factored form: (y + 7)(x + 8).

(6) 70, 70, 110

∠2 = ∠4 = 110° ( congruent angles )

∠3 = 180° - 110° = 70° ( straight angle )

∠1 = 70° ( vertically opposite ∠3 )

(9) ∠AEC = 15x - 11

since EC bisects ∠BED then ∠BEC = ∠CED = 4x + 1

∠AEC = ∠AEB + ∠BEC = 11x - 12 + 4x + 1 = 15x - 11

(7) x = 3

AC = AB + ABC = 32

2x + 6x + 8 = 32

8x + 8 = 32 ( subtract 8 from both sides )

8x = 24 ( divide both sides by 8 )

x = 3

Answer:

Step-by-step explanation:

Tinker what’s yo snap

-20 degrees by the time it was noon :)

Answer:

8 degrees Celsius is the answer

Step-by-step explanation:

Since at 5 a.m. the temperature was -6 degrees and the temperature increased 2 degrees every hour until noon, you can subtract noon (12) by 5 to realize that 7 hours have passed. Now multiply 2 by 7 to get 14. This means that the total increase in temperature was 14 degrees Celsius.

Finally, add 14 to -6, and when you do that math, you will get an answer of 8.

Answer:

free points

Step-by-step explanation:

The answer is C. 10p+6-p=12p-3(p-2)

because if you substitute any number for p, it will always equal each other

a. 5m-6=5m+7m

5(3)-6=5(3)+7(3)

15-6=15+21

9=36

b. 6(3)-5=7(3)+5-3

18-5=21+5-3

13=23

c. 10(3)+6-3=12(3)-3(3-2)

30+6-3=36-3

33=33

d. 3(3)+2=3(3)-2

9+2=9-2

11=7

Answer:

D. the number of air conditioners sold per day in a city and the daily temperature

Step-by-step explanation:

Let analyse all the possible answers:

A.  the number of hats sold and the number of mittens sold in a city

They show no relationship towards each other, both of them are independent variables. If you buy hats, you can buy mittens or not it is ok.

B. the amount of butter and the amount of bread consumed by a family

They show no relationship towards each other, both of them are independent variables. If you buy bread, you can eat it with jams, without butter is fine.

C. the number of notebooks sold and the number of pens sold in a stationery store

They show no relationship towards each other, both of them are independent variables. I can use pencil to write on that notebooks, do not need to buy pens.

D. the number of air conditioners sold per day in a city and the daily temperature

They show a strong relationship towards each other, the daily temperature is the independent variable and it makes people want to buy air conditioners (dependent variable)

E. the number of hours a person can swim and the depth of the pool

They show no relationship towards each other, both of them are independent variables. The number of hours a person can swim depends on their ability.

So we choose D.

I'll help with number 5 since number 4 is a bit too small and squished to read.

Check out the attached image below for the full two-column proof. The added entries are in red.

The given statement is basically what the teacher shows at the top of the problem, which is the fact that angle 5 and angle 2 are congruent. You just repeat this statement.  

The reason for statement 2 is that angle 2 and angle 4 are vertical angles. They are opposite angles formed by a pair of intersecting lines. This is the vertical angle theorem at work. We'll use the vertical angle theorem again for statement 4 when we say that angle 5 and angle 8 are the same measure.

The transitive property comes into play when we connect angles 2, 5, and 4 together, which helps us get line 3. We also connect angles 4, 5 and 8 together to get the last line, which is why the reason for statement 5 is "transitive property"

Answer:

The answer is 2 weeks. Hope this helped ! :)

Step-by-step explanation:

Answer:

It is 2 weeks because there is 7 days in one week so you would have to divide 14 by 7 and it would be 2

Step-by-step explanation:

A liner inequality that describes the situation would be 3x + 5y < 48.

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

Suppose you are shopping for crepe paper to decorate the school gym for a dance.

Gold crepe paper costs $5 per roll, and blue crepe paper costs $3 per roll, Your budget allows you to spend at most $48 for crepe paper.

Let x = the number of rolls of blue crepe paper.

Let y = the number of rolls of gold crepe paper.

A liner inequality that describes the situation.

Add these together to get

3x + 5y < 48.

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Answer:

[tex]y=\frac{x}{3}+\frac{16}{3}[/tex]

Step-by-step explanation:

Hello, I think I can help you with this

Step 1

let line 1

y=-3x+5

this equation is in the form y= mx+b, where m is the slope,Hence

-3x=mx

-3=m

m(1)=-3

Step 2

two lines are perpendicular if the product of their slopes is equal to -1

[tex]m_{1}*m_{2} =-1\\m_{1}=-3\\-3*m_{2} =-1\\\\m_{2}=\frac{-1}{-3}\\m_{2}=\frac{1}{3}\\\\[/tex]

Step 3

find the equation of the line

[tex]y-y_{0}=m(x- x_{0})[/tex]

Let

[tex]P(2,6)\\slope=\frac{1}{3} \\ put\ the\ values\ into\ the\ equation\\y-y_{0}=m(x- x_{0})\\y-6=\frac{1}{3}(x-2)\\y-6=\frac{x}{3}-\frac{2}{3}\\y=\frac{x}{3}-\frac{2}{3}+6\\\ y=\frac{x}{3}+\frac{16}{3}[/tex]

Have a nice day.

we know that

[tex]1\ foot=12\ inches[/tex]

[tex]1'=12"[/tex]

Part 1)

we know that

side 1=15'-7"

side 2=20'-4"

side 3=26'-2"

To find the total length of three sides sum the three sides

so

total length=side 1+side 2 +side 3

substitute

total length=15'-7"+20'-4"+26'-2"

total length=(15'+20'+26')+(7"+4"+2")

total length=(61')+(13")

remember that

12"=1'

13"=12"+1"=1'+1"

substitute

total length=(61')+(1'+1")

total length=(62')+(1")---------> 62'-1"

therefore

the answer is

the total length of three sides is 62'-1"

To calculate the total length of the three sides of the triangular frame, add the lengths together. Convert inches to feet where necessary. The total length is 62'-1".

The subject of this question is Mathematics, specifically basic addition within the context of geometry, specifically a triangular frame. To find the total length of the three sides of a triangular frame, we simply need to add the lengths of each side together. So, we add 15'-7", 20'-4", and 26'-2" together.

First, we tally the inches separate from the feet. Doing so, 7" + 4" + 2" gives us a total of 13". However, because there are 12" in a foot, we are left with 1", and 1' extra to add to our total feet.

The feet calculation then becomes 15' + 20' + 26' + 1' (from extra inches) which gives us a total of 62'. Therefore, the total length of the three sides of the triangular frame is 62'-1".

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The total daily consumption of milk is 3.25 cups (0.75 in the morning and 2.5 in the evening) and there are 13 cups of milk total. So if you divide the total milk by daily consumption, which is 13 ÷ 3.25, you get 4. Therefore, you will run out of milk in 4 days.

This is a simple math problem that can be solved with division and addition. You are consuming .75 cups of milk every morning and 2.5 cups of milk every evening. Therefore, each day, you are drinking a total of 0.75 + 2.5 = 3.25 cups of milk. There are 13 cups of milk present initially and every day you're consuming 3.25 cups. To find out when will you run out of milk, you simply divide the total amount of milk by the amount of milk drank per day: 13 ÷ 3.25 = 4 days. Therefore, you will run out of milk in 4 days.

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To solve these types of problems you need to know the basic rule of pemdas.

Multiplication/division and addition/subtraction are in no particular order; they are solved from left to right. Knowing the rule of pemdas, you can then solve these types of problems.

I have attached a picture to hopefully help you see how these problems can be solved. I solved the problems using pemdas step-by-step. Feel free to ask any questions you have in the comments! :)

__________________________________________________________

(29 - 5) ÷ 2 - 6²

1. Pemdas tells you to solve inside the (p)arentheses first, so solve (29 - 5) then rewrite the expression.

(24) ÷ 2 - 6²

2. After solving inside all of the parentheses, pemdas then tells you to solve for the (e)xponents. Solve where 6 is being carried to the power of 2 and then rewrite the expression.

(24) ÷ 2 - (36)

3. The next step in pemdas is to divide before subtracting, since those are the only two operations left. Divide 24 by 2 and then rewrite your expression.

(12) - (36)

4. The last and only step is to subtract 36 from 12. After doing so you will get your final answer.

[tex]\boxed {-24}[/tex]

__________________________________________________________

(9 - 2)² + (20 ÷ 5)

1. Pemdas tells us to solve inside the parentheses first, so solve inside both of the parentheses and then rewrite the expression.

(7)² + (4)

2. The next step is to solve for the exponents. Solve 7 carried to the power of 2 and then rewrite the expression.

(49) + (4)

3. The last and final step is to add the two terms together, 49 and 4. After doing so you will be left with your final answer.

[tex]\boxed {53}[/tex]

__________________________________________________________

(7 × 6 + 8²) + 2

1. Pemdas tells us to solve inside the parentheses first. There are multiple operations being done inside of the parentheses, so the first operation we will complete is exponents because that is what pemdas tells us to do. Solve 8 carried to the power of 2, then rewrite the expression.

(7 × 6 + 64) + 2

2. Now we can multiply 7 and 6 (because multiplication comes before addition) and then rewrite the expression.

(42 + 64) + 2

3. Solve inside the parentheses by adding 42 and 64. Then rewrite the expression.

(106) + 2

4. The fourth and final step is to add the two terms, 106 and 2, together. Then you will be left with your final answer.

[tex]\boxed {108}[/tex]

__________________________________________________________

__________________________________________________________

I think there's supposed to be a picture here. Anyway, you can find out by finding the slope of the line on the graph and comparing it to .5 which is Henry's slope. If the graphed slope is larger than .5 then Clark hikes faster, if it is less than .5, Henry hikes faster.

Hope this helps :)

To determine which hiker is faster, you need to examine the graph of Clark's rate and compare it to the rate of Henry, which is 0.5 miles per hour.

In the equation y = 0.5x, where y represents the distance Henry hikes in miles over time x in hours, the coefficient 0.5 is the rate at which Henry hikes. This means Henry is hiking at a rate of 0.5 miles per hour.

On the other hand, the graph represents the rate at which Clark hikes. To determine who is faster, you need to compare the rate of Clark's hiking to Henry's rate.

If the graph of Clark's rate is represented by a line with a slope greater than 0.5, then Clark is faster. If the slope is less than 0.5, then Henry is faster.

For example, if the graph for Clark's rate is represented by the equation y = 0.6x, then Clark is hiking at a rate of 0.6 miles per hour, which is faster than Henry's rate of 0.5 miles per hour.

So, to determine which hiker is faster, you need to examine the graph of Clark's rate and compare it to the rate of Henry, which is 0.5 miles per hour.

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6+9x=456

Subtract 6 from both sides

6-6+9x = 456-6

9x = 450

Divide each side by 9

X = 50

Plug it in 6+9(50) = 456

6+450 = 456

(9*456)+6

9*456 =4104

4104+6=4110

I believe 50 beats per minute.

If you do 140 divided by 700 you should get 5. So it should be 5 minutes every 140 heart beats

A relation in mathematics can be reflexive, symmetric, or transitive. To determine which characteristics a relation displays, you'd need to evaluate each pair of elements. This can solidify your understanding of such mathematical concepts.

In Mathematics, a relation is a set of ordered pairs (a, b). Different characteristics define each relation. For example, a relation can be reflexive if every element is related to itself, symmetric if for every pair (a, b) in the relation, the pair (b, a) is also in the relation, or transitive if for every set of three elements a, b, and c, if (a, b) and (b, c) are in the relation, then (a, c) must also be in the relation.

To place the characteristics in the correct column, you may need to review each relation's properties in the image and ascertain whether they exhibit reflexivity, symmetry, or transitivity. Don't forget to check every pair of the elements in order to ensure your decision. This exercise can help solidify your understanding of these complex concepts in mathematics.

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false i think hope this helps

Answer:

this is false, the identity property states any number multiplied by 1 is itself

Step-by-step explanation:

Answer:

Between 2 and 3

Step-by-step explanation:

square root of 5 = 2.2360679775

This number is between 2 and 3

(I hope this was the correct answer to the question asked )

The square root of 5, while not a whole number, lies between the integers 2 and 3 as it represents a value between 2 squared (4) and 3 squared (9).

The square root of 5 is indeed between two integers. To understand this concept, it's important to grasp what square roots represent. If a number is squared, like 2², it becomes 4. So, the 'square root' of 4 would be 2, the number that was initially squared. In the case of the number 5, there's no integer that can be squared to result in exactly 5. However, it is known that 2²=4 and 3²=9. Therefore, the square root of 5, being between 4 and 9, must lie between the integers 2 and 3. This is why we can confidently say that the square root of 5 is between the integers 2 and 3.

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Answer:

{-1/8, 1/8}

Step-by-step explanation:

Solve |a|-3/4=-5/8 for |a|:  Add 3/4 to both sides of this equation, obtaining:

|a| - 6/8 + 6/8 = -5/8 + 6/8, or |a| = 1/8.  This absolute value function has two components:

a = 1/8 and a = -1/8.

Sure, I'd be happy to walk you through the solution.

1. The first step is to rewrite the absolute value term in the equation to make it a little easier to work with. We can write |a| as 4|a|/4 to help solve the equation in fractional terms. This makes our equation 4|a| - 3/4 = -5/8.

2. Now, multiply every term by 4 to get rid of the fractions. This result in 4*4|a| - 4*3/4 = 4*-5/8, which simplifies to 4|a| - 3 = -5/2.

3. In order to solve for |a|, we'll need to isolate it on one side of the equation. To do this, add 3 to both sides, which gives 4|a| = -5/2 + 3.

4. Simplify the right side of the equation to get 4|a| = 1/2.

5. From here, divide each side by 4 in order to solve for |a|. This gives us |a| = (1/2) / 4.

6. Simplify |a| to get |a| = 1/8.

7. Now that we found |a| = 1/8, we know that a can be positive or negative because it's the absolute value of a number. Therefore, the solutions to the original equation |a| - 3/4 = -5/8 are a = 1/8 and a = -1/8.

The answer is (x+y)/(x-y)

So we have all of "x+y" over top "x-y" as one big fraction.

Check out the attached image for the steps on how I got the answer.

Answer:

The answer is (x+y)/(x-y) hope this helps :)

Step-by-step explanation:

You find the lowest common denominator of all of the fractions. Then you multiply them by the denominators. You cancel. Then the only terms that are left are (x+y) and (x-y).

Start by distributing:

4v^2 + 16v - 2v - 8

4v^2 + 14v - 8 = -8 - 3v

4v^2 + 14v = 3v

4v^2 + 11v + 0 = 0 (Standard form)

If you are looking for the actual roots:

(-b+-sqrt(b^2-4ac))/2a (Quadratic equation)

where a = 4, b = 11, and c = 0

y= -2xsquared-4x+6

-2squared is 4-4x+6

6-4=       2-4x=awnser

y = -x + 8 is the correct answer.  Trust me, I just graphed it out. ;)

The slope-point form of a line:

[tex]y-y_1=m(x-x_1)[/tex]

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have (5, 3) and (2, 6).

Substitute:

[tex]m=\dfrac{6-3}{2-5}=\dfrac{3}{-3}=-1[/tex]

[tex]y-3=-1(x-5)\\\\y-3=-x+5\qquad|+3\\\\y=-x+8[/tex]

It seems like it just wants you to multiply the numbers inside by 3 soooo :

N = (-2 , 0 / 3 , 5)  *  3

N = (-6 , 0 / 9 , 15)

Answer is C.

The scalar multiplication of matrix [tex]3N = \left[\begin{array}{cc}-6&0\\9&15\end{array}\right][/tex].

A collection of numbers lined up in rows and columns to form a rectangular array is called a matrix. The elements, or entries, of the matrix are the numbers.

For the following matrix N,

Given,

[tex]N =[/tex] [tex]\left[\begin{array}{cc}-2&0\\3&5\end{array}\right][/tex]

In order to find 3N:

To do the first scalar multiplication to find 3N, I just multiply a 3 on every entry in the matrix:

[tex]3N = \left[\begin{array}{cc}3\times-2&3\times0\\3\times3&3\times5\end{array}\right][/tex]

or,

[tex]3N = \left[\begin{array}{cc}-6&0\\9&15\end{array}\right][/tex]

Therefore, the matrix is [tex]3N = \left[\begin{array}{cc}-6&0\\9&15\end{array}\right][/tex] is C.

To learn more about the matrix;

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The squad would be folded into fourths.

Hope it helps ❤️

When a square is folded in half twice, the folded part becomes 1/4 or one-quarter of the original square's area.

When a square is folded in half, it becomes a rectangle, reducing its area to half the original square's area. When this rectangle is folded in half again, its area reduces to half of its current state or a quarter of the original square's area. Therefore, the folded part is 1/4 or one-quarter of the original shape.

For example, let's say our original square is 4 cm by 4 cm, therefore the area is 16 cm^2. If it is folded in half, the new shape is 4 cm by 2 cm with an area of 8 cm^2, half of the original square. Fold this rectangle again in half, the new shape is 2 cm by 2 cm with an area of 4 cm^2, which is a quarter of the original square's area.

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Based on the question, you would need to isolate x by itself.  Here is how you do it:

g=xc

divide by c on both sides to get x by itself on the left side.

g/c=xc/c

your final answer would be g/c=x

you can flip that if you like to x=g/c.

Hope this helps!

y = 2

A horizontal line, parallel to the x-axis has equation y = c

where c is the value of the y-coordinate the line passes through.

( - 2, 2) has y- coordinate of 2

equation of horizontal line is therefore y = 2