Jonathan's parents told him that for every 2 hours of homework or reading he completes, he would be able to play 30 minutes of video games. His friend Lucas's
parents told their son that he could play 1.5 hours for 5 hours of homework or reading time he completes. What is the unit rate for each boy? You must label both unit rates. ​

Answer:

y=13  , x=36

Step-by-step explanation:

The diagonal of parallelogram bisect at a point where the sides across the intersection are equal

DH=HF

x+3=3y

x=3y-3   first equation

HE=GH

2x-5=5y+2 ⇒ 2x-5y=7 second equation

solve by substitution: x=3y-3

2x-5y=7

2(3y-3)-5y=7

6y-6-5y=7

y=7+6

y=13

x=3y-3

x=3(13)-3

x=36

Answer:

Step-by-step explanation:

The linear equation that describes the relationship between the total monthly cost Y and number of class hours in each month X is the same as the equation of line which is

[tex]Y= mx+c\\\\ Y= 2X+25[/tex]

where Y= the dependent variable, monthly cost

          x= the independent variable, the number of hours for aerobic classes

          c= the intercept, $25

Answer:

Lin drank more water

Step-by-step explanation:

Given

Elena = 3 litres

Jada = ¾ of Elena

Lin = 2 times of Jada

Required

Determine if Lin drank more or less water than Elena

First, we have to get the actual amount of water Jada drank.

Jada = ¾ of Elena

Substitute 3 litres of Elena

[tex]Jada = \¾ * 3 litres[/tex]

[tex]Jada = 9/4 litres[/tex]

[tex]Jada = 2\¼\ litres[/tex]

Lin = 2 * Jada

Substitute 2¼ litres for Jada

[tex]Lin = 2 * 2\¼\ litres[/tex]

[tex]Lin = 2 * 9/4 litres[/tex]

[tex]Lin = 9/2 litres[/tex]

[tex]Lin = 4\frac{1}{2} litres[/tex]

Recall that Elena drank 3 litres

Comparing 3 Litres to [tex]4\frac{1}{2}[/tex] litres, we can conclude that Lin drank more water.

Answer:

The value of m in the given equation is 4.

Step-by-step explanation:

6m - 10 = 22 - 2m

Add 2m on both sides of the equation.

8m - 10 = 22

Add 10 to both sides of the equation.

8m = 32

Divide by 8 on both sides of the equation.

m = 4

The value of m is 4.

Answer:

5/12

Step-by-step explanation:

There is a total of 12 bags,  5 of which are bbq

P ( bbq) = number of bbq/ total

             = 5/12

Answer:

h = (x - 8)/5

Step-by-step explanation:

Step 1: Write out expression

x = 5h + 8

Step 2: Isolate variable h (Subtract 8 on both sides)

x - 8 = 5h

Step 3: Isolate h (Divide both sides by 5)

(x - 8)/5 = h

Step 4: Rewrite

h = (x - 8)/5

To get the area simply multiply the length by the width.

(3x^2+5x+10)(x^2-3x-1) = 3x^4 - 4x^3 - 8x^2 - 35x - 10

Answer:

the answer is A

Step-by-step explanation:

got it right on edge

Answer:

35.6 yd²

Step-by-step explanation:

Area of ∆UVW can be solved if we know the lengths of 2 sides and their included angle.

We are Given just 1 side, UV (w). Use the law of sines to find UW (v).

Thus:

[tex] \frac{v}{sin(V)} = \frac{w}{sin(W)} [/tex]

W = 137°

w = 19 yd

V = 180 - (137 + 22) = 21°  => sum of triangle

v = ??

Plug in the values and solve for v

[tex] \frac{v}{sin(21)} = \frac{19}{sin(137)} [/tex]

Multiply both sides by sin(21)

[tex] \frac{v}{sin(21)}*sin(21) = \frac{19}{sin(137)}*sin(21) [/tex]

[tex] v = \frac{19*sin(21)}{sin(137)} [/tex]

[tex] v = 10 yd [/tex] (approximated)

Find area of ∆UVW:

Area = ½*UV*UW*sin(U)

Area = ½*v*w*sin(U)

= ½*10*19*sin(22)

Area = 35.6 yd² (to nearest tenth)

Answer:

The answer is below

Step-by-step explanation:

a) Weekly gross salary is the product of the number of hours worked per week and earnings per hour. It is given as:

Weekly gross salary = number of hours worked per week × earnings per hour = 30 hrs / week × $12.08/hr = $362.4

b) Using claim code 2 for the weekly gross salary, Federal tax = $16.05, CPP = $14.61, provisional income tax = $0.6 and EI = $6.27

Total deductions = $16.05 + $14.61 + $0.6 + $6.27 = $37.53

Weekly net pay = Weekly gross salary - Total deductions = $362.4 - $37.53 = $324.87

c) Yearly net pay = weekly net pay × number of weeks in a year = $324.87 × 52 = $16893.24

d) percent of his gross income deducted yearly = weekly deductions / weekly gross income × 100% = 37.53 / 362.4 × 100% = 10.4%

Answer:

3, because [tex]y=-\frac{1}{2}x+9[/tex].

Step-by-step explanation:

Looking at this graph, we can start to determine the equation for it.

The y-intercept of this graph is 9, therefore there will be a constant of 9.

We can find the slope by looking at rise over run. It vertically travels -1 for every 2 horizontally. So the slope is [tex]-\frac{1}{2}[/tex].

Making this into an equation gets us  [tex]y=-\frac{1}{2}x+9[/tex].

Now we can substitute 12 into this equation as x.

[tex]y=-\frac{1}{2}(12)+9\\ y=-6+9\\y=3[/tex]

Hope this helped!

Answer:

the other person is correct! C:

Step-by-step explanation:

Answer:

There are 8 stacks

Step-by-step explanation:

Take the number of pancakes and divide by the number in a stack to determine the number of stacks

40/5 = 8

There are 8 stacks

Answer:

(x + 87)/4

Step-by-step explanation:

"a quarter" = 0.25 by numerical value.

"the sum of a number (x) and 87" = x + 87

Combine the two terms:

"the sum of a number (x) and 87" + "a quarter of the sum..." = (x + 87) * 0.25 = (x + 87)/4

(x + 87)/4 is your answer.

~

Answer:

195

Step-by-step explanation:

So -79 + x = 116

then x = 116 + 79 = 195

Answer:

The sum of two consecutive integers will always be an odd number.

Step-by-step explanation:

-79 + x = 116

x = 116 + 79 = 195

195 is the answer

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*PLEASE MARK ME BRAINIEST*

Thank you, have a nice day

Answer:well the answer is 2 hours 16 minutes.

Step-by-step explanation:

To find your plane's rate of speed, you calculate the distance ... amount of time in the air (2 hours and 16 minutes) to.

Answer:

7

Step-by-step explanation:

If we call the number of worms in a can x, we can write:

4x + 3x + 2 + 2x = 65

9x + 2 = 65

9x = 63

x = 7 worms

B has two pre-images of -7 so it is not a function

B. (-7, 3), (1, 2), (5, 3), (-7, 2)

Since  

x = − 7  produces  y = 3  and  y = 2

So the relation is not a function.

Answer:

B

Hope it helped you out

Tysm

Answer:

7x-5

Hope this helped; mark brainliest if it did! :)

Answer:

99% confidence interval will be wider because as the level of confidence increase the width increases as well and the standard error decreases

Step-by-step explanation:

The  confidence interval is directly proportional to the sample size  hence the 99% confidence interval will be wider than the 95% confidence interval of the sample of 120 college students

using a 99% confidence interval gives a more accurate result than a 95% confidence because the standard error decreases with increase in confidence interval

Answer:

546 - 25 x 13 (divided by) 13

546 - (25 x 13) / 13

Step-by-step explanation:

25 x 13 = 325

546 - 325 = 221

221 / 13 = 17

17 mens teams can register.

Answer:

[tex]25(13)+13m\leq 546[/tex]

A

Step-by-step explanation:

Each team can only consists of thirteen players. Therefore, by letting w represent the number of women's teams and m the number of men's teams, the total number of players is represented by the equation:

[tex]13w+13m[/tex]

The total number of players cannot surpass 546. In other words, it must be less than or equal to. Therefore:

[tex]13w+13m\leq 546[/tex]

We are given that that 25 women's teams have already signed up. To find out the possible number of men's teams that can sign up, we can substitute 25 for w and then solve for m.

Therefore:

[tex]25(13)+13m\leq 546[/tex]

In conclusion, the answer is A.

Answer:

d

Step-by-step explanation:answer is d on edg

Answer:

Option (1)

Step-by-step explanation:

Given equation is,

[tex]2^x=1-3^x[/tex]

To determine the solution of the equation we will substitute the values of 'x' given in the options,

Option (1)

For x = -0.75

[tex]2^{-0.75}=1-3^{-0.75}[/tex]

0.59 = 1 - 0.44

0.59 = 0.56

Since, values on both the sides are approximately same.

Therefore, x = -0.75 will be the answer.

Option (2)

For x = -1.25

[tex]2^{-1.25}=1-3^{-1.25}[/tex]

0.42 = 1 - 0.25

0.42 = 0.75

Which is not true.

Therefore, x = -1.25 is not the answer.

Option (3)

For x = 0.75

[tex]2^{0.75}=1-3^{0.75}[/tex]

1.68 = 1 - 2.28

1.68 = -1.28

Which is not true.

Therefore, x = 0.75 is not the answer.

Option (4)

For x = 1.25

[tex]2^{1.25}=1-3^{1.25}[/tex]

2.38 = 1 - 3.95

2.38 = -2.95

It's not true.

Therefore, x = 1.25 is not the answer.

Answer:

Step-by-step explanation:

If the sides exist in a ratio to one another, then when you multiply some number x by both the length and the width, they still remain as a ratio. The length will be 3x and the width will be 1x. The perimeter formula is

P = 2L + 2W and since our perimeter is 72 and we have both the length and the width, we can fill in the formula and solve for x:

72 = 2(3x) + 2(1x) and

72 = 6x + 2x and

72 = 8x so

9 = x.

If x = 9, then 1x = 9 and 3x = 27. Let's check the perimeter against those side lengths.

P = 2(3x) + 2(1x) and

P = 2(27) + 2(9) and

P = 54 + 18 so

P = 72

and you're done! (The bold numbers above are the width and length, respectively.)

Answer:

B, because that's the side that wasn't given

Step-by-step explanation:

The statement AB ≅ PQ is required to be congruent.

Option B is the correct answer.

There are ways to prove that two triangles are congruent.

- Side-Side-Side (SSS) Congruence.

The three sides of one triangle are equal to the corresponding three sides of another triangle.

- Side-Angle-Side (SAS) Congruence.

The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.

- Angle-Side-Angle (ASA) Congruence.

The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.

- Angle-Angle-Side (AAS) Congruence.

We have,

Side-Side-Side (SSS) Congruence.

The three sides of one triangle are equal to the corresponding three sides of another triangle.

Now,

ΔABC and ΔPQR

AC ≅ PR  (given) (side)

BC ≅ QR (given ) (side)

AB ≅ PQ (side)

ΔABC ≅ ΔPQR (SSS)

Thus,

AB ≅ PQ is required to be congruent.

Learn more about triangle congruency here:

https://brainly.com/question/12413243

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Answer:

y-y1=m(x-x1)

or,y-2=1/4(x+4)

or,4y-8=x+4

or,x-4y+12=0 is the required equation.

Step-by-step explanation:

If it helps you, plz mark it as brainliest

Answer:

y=3/4x-2

Step-by-step explanation:

two points from graph (0-2) and (8,4)

find slope m: y2-y1/x2-x1

m=4+2/8-0

m=6/8=3/4

x=0 then y=b=-2

y=3/4x-2

Answer:

True

Step-by-step explanation:

The null and alternate hypothesis are established terms that are used in statistics. Note that the Null hypothesis often represents the expected outcome, as in this example that– "There is no difference in the average start-up costs of the 4 different types of shops".

Meanwhile, the Alternative hypothesis tells the opposite of expected outcome– "There is a difference in the average start-up costs of the shops working statement".

Thus, the forcus of the research would be to prove whether the null hypothesis is true or false. If it is true, then we fail to reject the null hypothesis.

Answer:

The answer is

[tex] \sqrt{97} \: \: units[/tex]

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

J( – 8,0) and K(1, 4)

The distance between them is

[tex] |JK| = \sqrt{ ({ - 8 - 1})^{2} + ({0 - 4})^{2} } \\ = \sqrt{ ({ - 9})^{2} + ( { - 4})^{2} } \\ = \sqrt{81 + 16} \\ [/tex]

We have the final answer as

[tex] \sqrt{97} \: \: \: units[/tex]

Hope this helps you