A ratio that compares two quantities measured in different units is known as a ______________________.

Answer:

[tex]s = 17[/tex]

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Answer:

Yes, they can both be solved and get the same answer.

Step-by-step explanation:

Tyler's way:

Since Tyler solved first by isolating x, resulting in x=-5-3y, he can then go and look at the second equation and solve for y there. In the second equation you're going to want to subtract 9x from the right side and left side to then get 3y=3-9x. Now you're going to divide by 3 on both sides to isolate y. You'll get y=1-3x. Now we know what y equals. Plug that back into the first equation and you'll get x=-5-3(1-3x). Use the distributive property to simplify that and you'll get x=-5-3+9x. That simplified is x=-8+9x. Add 8 on both sides and you'll get 8+x=9x. Subtract x from the both sides and you'll get 8=8x. Divide by 8 on both sides and you'll get the final answer: 1=x, or x=1.

Han's way:

Since Han solved first by isolating 3y, resulting in 3y=-5-x, he can then go and look at the second equation and solve for y there. In the second equation you're going to want to subtract 9x from the right side and left side to then get 3y=3-9x. Now you're going to divide by 3 on both sides to isolate y. You'll get y=1-3x. Now we know what y equals. Plug that back into the first equation and you'll get 3(1-3x)=-5-x. Use the distributive property to simplify that and you'll get 3-9x=-5-x. Add 9x to both sides and you'll get 3=-5+8x. Add 5 to both sides to isolate 8x and you'll get 8=8x. Divide by 8 on both sides and you'll get the final answer: 1=x, or x=1.

Determine if both first steps can be used to solve the system and will yield the same solution

Both Tyler and Han's first step can be used to solve the system and will yield the same solution

Given:

x + 3y = -5

x + 3y = -5 9x + 3y = 3

Tyler

isolate x in the first equation to get

x = -5 - 3y

substitute into second equation

9x + 3y = 3

9( -5 - 3y) + 3y = 3

-45 - 27y + 3y = 3

- 24y = 3 + 45

-24y = 48

y = 48/-24

y = -2

Recall,

x = -5 - 3y

= -5 - 3(-2)

= -5 + 6

x = 1

Han:

isolate 3y in the first equation to get

3y = - 5 - x

substitute into second equation

9x + 3y = 3

9x + (-5 - x) = 3

9x -5 - x = 3

8x = 3 + 5

8x = 8

x = 1

Recall,

3y = - 5 - x

3y = -5 - (1)

3y = -5 - 1

3y = - 6

y = -2

Therefore, both first steps can be used to solve the system and will yield the same solution.

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Determine if both first steps can be used to solve the system and will yield the same solution

Both Tyler and Han's first step can be used to solve the system and will yield the same solution

Given:

x + 3y = -5

x + 3y = -5 9x + 3y = 3

Tyler

isolate x in the first equation to get

x = -5 - 3y

substitute into second equation

9x + 3y = 3

9( -5 - 3y) + 3y = 3

-45 - 27y + 3y = 3

- 24y = 3 + 45

-24y = 48

y = 48/-24

y = -2

Recall,

x = -5 - 3y

= -5 - 3(-2)

= -5 + 6

x = 1

Han:

isolate 3y in the first equation to get

3y = - 5 - x

substitute into second equation

9x + 3y = 3

9x + (-5 - x) = 3

9x -5 - x = 3

8x = 3 + 5

8x = 8

x = 1

Recall,

3y = - 5 - x

3y = -5 - (1)

3y = -5 - 1

3y = - 6

y = -2

Therefore, both first steps can be used to solve the system and will yield the same solution.

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Answer:

B. x=e^y

Step-by-step explanation:

Took the quiz.

An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is B.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given the expression  y=ln(x). Therefore, if we simplify the expression then we can write,

y = ln (x)

Taking anti-log,

x = e^y

Hence, the correct option is B.

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Answer:

Albert needs 32 cars to wash to reach his goal.

Step-by-step explanation:

We know that the slope-intercept form of a linear function is

[tex]y = mx+b[/tex]

where m is the slope or rate of change and b is the y-intercept

It is stated that Albert needs $133 to buy a new hard drive.

As earns $4.75 for each car he washes. Thus, $4.75 the rate of change or slope will be.

As he spends $19 on supplies. Since it is an expense, so -19 is basically the y-intercept 'b'.

Let 'x' be the number of cars he needs to wash to reach his goal.

Thus, substituting the value m = 4.75, y = 133, and b=-19 in the slope-intercept form of a linear function

y = mx+b

133 = 4.75x - 19

133+19 = 4.75x

152 = 4.75x

x = 152 / 4.75

x = 32

Therefore, Albert needs 32 cars to wash to reach his goal.

Answer:

[tex]y=\frac{1}{3}x-1[/tex]

As the line equation represents a straight line, so the relationship between x and y is a straight line.

Therefore, option E is true.

Step-by-step explanation:

Taking two points from the given line

Finding the slope between two points

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(3,\:0\right),\:\left(x_2,\:y_2\right)=\left(-3,\:-2\right)[/tex]

[tex]m=\frac{-2-0}{-3-3}[/tex]

[tex]m=\frac{1}{3}[/tex]

From the graph, the y-intercept can be calculated by setting the x=0 and then check the corresponding value of y.

at x = 0, y=-1

Thus, the y-intercept = -1

We know that the slope-intercept form is

[tex]y=mx+b[/tex]

where m is the slope, and b is the y-intercept

substituting the values of m=1/3 and the y-intercept b = -1

[tex]y=mx+b[/tex]

[tex]y=\frac{1}{3}x+\left(-1\right)[/tex]

[tex]y=\frac{1}{3}x-1[/tex]

As the line equation represents a straight line, so the relationship between x and y is a straight line.

Therefore, option E is true.

Answer:

Step 1: Simplify both sides of the equation.

4(1−x)+2x=−3(x+1)

(4)(1)+(4)(−x)+2x=(−3)(x)+(−3)(1)(Distribute)

4+−4x+2x=−3x+−3

(−4x+2x)+(4)=−3x−3(Combine Like Terms)

−2x+4=−3x−3

−2x+4=−3x−3

Step 2: Add 3x to both sides.

−2x+4+3x=−3x−3+3x

x+4=−3

Step 3: Subtract 4 from both sides.

x+4−4=−3−4

x=−7

Step-by-step explanation:

Wanna chat add me as a friend OR COME TO Snap (ADAMBELAL839)

Answer: 60

Step-by-step explanation:

To find how much she rolls in 1 minute, you divide 18 by 12. This gets you 1.5. Multiply 1.5 by 40 and you get 60.

Answer:

5535383.47 units

Step-by-step explanation:

Given that,

The national dept of a country = 298,800,000​,000,000

Population of the country = 53,980​,000

We need to find the debt per person. It can be calculated by dividing national dept of a country to its total population. Let it is d.

[tex]d=\dfrac{298800000000000}{53980000}\\\\=5535383.47\ \text{units}[/tex]

Hence, the debt per person is 5535383.47 units.

Answer:

13) x = 62

14) x = 2.5

    y = 5.88888889

Step-by-step explanation:

x = 62 because x is the alternate interior angle of 62.

37x - 19 = 29x + 1 (subtract 29x on both sides)

8x - 19 = 1 (add 19 on both sides)

8x = 20 (divide by 8)

x = 2.5

Plug 2.5 into 29x + 1 to find 9y + 25

29(2.5) + 1 = 73.5

9y + 25 = 73.5 (subtract 25 on both sides)

9y = 48.5 (divide by 9 on both sides)

y = 5.388888889

It all checks out!

HOPE THIS HELPS!

Answer:

Sum of the three angles of a triangle = 180 degrees

x+x+20+2 x=180

4 x=160

x=40

The angles are 40,(40+20).(2*40)

Answer 40,60,80

Answer:

E

Step-by-step explanation:

By definition,

Linear or first degree equations are of the type ax + b = y, with a≠0, or any other equation in which when operating, transposing terms and simplifying they adopt that expression.

A solution to an equation is a number that can be entered into the variable to make a true number statement.

In this case, you know that the solution to a system of equations is (5,-19). This is, x=5 and y=-19.

Replacing the value of x in linear expressions, I can calculate the value of y and I must get that y=-19.

A. y=-3×5 -6 → y= -15 -6 → y= -21

B. y=2×5 -23 → y= 10-23 → y= -13

C. y=-7×5+16 → y= -35 +16 → y= -19

D. y=5-17 → y= -12

E. y=-2×5-9 → y= -10 -9 → y= -19

Observing the solutions obtained, the equations that satisfy the solution and make uo the system are option C. and E.

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Answer: 3x + 15 = 51

x is the number of laps that she swims on Monday, Wednesday, and Friday. Since she swims the same amount, we can multiply x by three. Since Saturday  gives us an explicit answer, we can just add that to the equation.

Hope this helps :)

Answer:

40.) $7,959.18

Step-by-step explanation:

If 1.5% of 7,841.56 is 117.62, add them both together to get her total income for the week. In this case, that's $7,959.18.

Answer:

A.

or

4.

Step-by-step explanation:

Answer:

h=9

Step-by-step explanation:

54=1/2(12)h

54=6h

9=h

Answer:

False. They will be parallel to each other

Answer:

false they would be parallel lines

Answer:

5x-10x+100 or a simplified version: -5x+100 where x is the number of shirts

Step-by-step explanation:

5x is for every shirt they have to pay for and it adds to the cost

-10x is for every shirt they sell which decreases the total cost

100 is for the upfront cost of having the shirts professionally designed

hope this helped and if i misunderstood something lmk so i can change it :))

Answer:

The answer is D.

Step-by-step explanation:

There is only one 8n^2, and that means that it cannot combine with anything.

Answer:

It is $46 per video game because 92 divided by 2 is 46.

Step-by-step explanation:

Answer:

.25 or 25%

Step-by-step explanation:

I simplied it to 30 and 7 so then I expiremended with different percents and got that 25 percent equals 7.5 so I checked it and is 25 %

Answer:

These lines will be perpendicular when m =  ³⁄₂

Step-by-step explanation:

Two lines are perpendicular when the product of their gradients equal to -1. So:

m₁ * m₂ = -1

Let's get the first equation in gradient-intercept form (same as equation two).

2x + 3y = 4

3y = -2x + 4

y = -⅔x + ⁴⁄₃

We know the first gradient, and now we can find the gradient of the second line (which when multiplied will result in -1 as these lines are perpendicular). So:

-⅔ * m₂ = -1

m₂ =  ³⁄₂

Answer:

The y-intercept of this line is 2.

Step-by-step explanation:

To find where this line reaches the y axis, you simply need to assign the value 0 to x, and solve for y:

[tex]2x + 3y = 6\\2(0) + 3y = 6\\3y = 6\\y = 6/3\\y = 2[/tex]

So the y intercept of that line is 2

Answer:

215482.5

ep-by-step explanation:

Answer:

I spent $14.5 on the garden

Step-by-step explanation:

This problem  can be solved by simply adding the individual costs of the items put in the garden

Cost of the barrier:

We can get the cost of the barrier by first of all determining the perimeter of land the barrier covers. We have a hint in the question given: "One bag of mulch covers 8 square feet "

We can assume the shape of the garden to be a square and the area to be  8 square feet.

The length of the garden will be = [tex]\sqrt{area}[/tex] because the garden is a square.

Length = [tex]\sqrt{8} =2\sqrt{2}[/tex]

perimeter = [tex]4 \times 2\sqrt{2}=4\sqrt{2} feet[/tex]

The barrier costs $1.50 per foot. for [tex]4\sqrt{2}[/tex] feet, =$8.5

Cost of barrier = $8.50

Cost of Mulch

The cost of mulch = $ 6

Total sum of money spent = 8.5 +6 = $14.5

Therefore, I spent $14.5 on the garden

Answer:

149.02

Step-by-step explanation:

51.72 plus 97.33 is 149.02

Answer:

Marlene will receive $1,417.50 for each of her bimonthly paychecks.

Step-by-step explanation:

This can be calculated using the following 3 steps:

Step 1: Calculation of annual deductions to bear by Marlene

Required deductions = $15,000

Contribution to cost of health insurance plan per-year = $4800 * 10% = $480

Contribution to cost of life insurance plan per-year = $900 * 20% = $180

Contribution to this year's 401(k) plan = $54,000 * 8% = $4,320

Step 2: Calculation of annual paychecks

Annual paychecks = Gross income - Required deductions - Contribution to cost of health insurance plan per-year - Contribution to cost of life insurance plan per-year - Contribution to this year's 401(k) plan = $54,000 - $15,000 - $480 - $180 - $4,320 = $34,020

Step 3: Calculation of bimonthly paychecks

Bimonthly paychecks = Annual paychecks / 24 = $34,020 / 24 = $1,417.50

Therefore, Marlene will receive $1,417.50 for each of her bimonthly paychecks.

Answer:

So, KM and ST are perpendicular  lines

Step-by-step explanation:

Find the slope of KM and ST.

K (-3, -7), M(3, -3)

Slope of KM = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

                    [tex]= \frac{-3-[-7]}{3-[-3]}\\\\= \frac{-3+7}{3+3}\\\\ = \frac{4}{6}\\\\= \frac{2}{3}[/tex]

S(0 , 4)  & T(6 , -5)

Slope of ST = [tex]\frac{-5-4}{6-0}[/tex]

                   [tex]=\frac{-9}{6}\\\\=\frac{-3}{2}[/tex]

Slope of KM * slope of ST = [tex]\frac{2}{3} * \frac{-3}{2}[/tex]

                                           = -1

So, KM and ST are perpendicular  lines

Answer:

perpendicular

Step-by-step explanation:

Answer:

open circle one and 2

Step-by-step explanation:

there will be open circle because there is no equal sign in the problem....there will be a line segment in between...because basically, u would put an open circle on 1, and open circle on 2 and shading in between

Answer:

The answer is no solution.

Answer:

V

Step-by-step explanation: