Together, Ashley and Gabby watched a total of 14 hours of television over the weekend. Ashley watched 6 times as many hours as Gabby. How many hours of television did they each watch over the weekend? Write and solve a system of equations by using the substitution method. Be sure to define your variables.

Answers

Answer 1

Answer:

The number of times over the Weekend that:

Ashley watched TV = x = 12 hours

Gabby watched TV = y = 6 hours

Step-by-step explanation:

Let us represent:

The number of times

Ashley watched TV = x

Gabby watched TV = y

Together, Ashley and Gabby watched a total of 14 hours of television over the weekend.

= x + y = 14..... Equation 1

x = 14 - y

Ashley watched 6 times as many hours as Gabby.

x = 6y

Using substitution method

We substitute 14 - y for x

14 - y = 6y

14 = 6y + y

14 = 7y

y = 14/7

y = 2 hours

Solving for x

x = 14 - y

x = 14 - 2

x = 12 hours

Therefore:

The number of times over the Weekend that:

Ashley watched TV = x = 12 hours

Gabby watched TV = y = 6 hours


Related Questions

Which figures have rotation symmetry?
Select each correct answer.

Answers

Answer:

the answers are the x and the star (or just B and C)

Step-by-step explanation:

How do I know? I just know...

JK

Rotational semetry is if one shape looks the same, even fliped in a sort of way.

(2x - 7) what is the value of X

Answers

Answer:

I guess 7/2

Step-by-step explanation:

2x - 7 = 0

2x = 7

x= 7/2 ?

You didnt give us what the equation equals to

there are 2 questions pls answer fast
In a certain code the word CASH is coded as FDVK and the word MONEY is coded as PRQHB.
What would the word RETURNS be coded as ?
a. UHWROKP
b. UHWXUQV
c. OBQROKP
d. UHWXUQP
11M + N – P = 12

Which of the following values for M , N , P would make the above number sentence true ?

a. M = 6, N = 6 , P = 6
b. M = 7, N = 6 , P = 1
c. M = 11, N = 0 , P = 1
d. M = 10, N = 11 , P = 12

Answers

Answer:

Q1: B. UHWXUQV

Q2: None of these answers equal 12 so I'll just tell you the answers for all of them in case you mistyped.

a. 66

b. 82

c. 120

d. 109

Im assuming you meant 120. If so, your answer is c.

how many square units is the area of the rectangle​

Answers

Answer:

-30m^11n^5

Step-by-step explanation:

the length of a rectangle is width times length (or base times height).

5m^7n^3 times -6m^4n^2 = -30m^11n^5

I hope this helped, please give brainliest if this is correct! Thank you!

Please help what is 21 divided by 3 x 10 + 66.86 SIMPLIFIED please and thank you

Answers

Answer:

70/x

Step-by-step explanation:

Answer:

136.86 or 137

Step-by-step explanation:

21÷3x10+66.86

here's what I did...

as simplified its: 137

Pls help with these ASAP

Solve the inequality. Graph the solution.
2n > 20

Pls show Yhur work

Answers

Answer:

n > 10 is the inequality solved, but there is no way to graph this equation.

Step-by-step explanation:

Key skills: Inequalities, Division

1) You are given the inequality 2n > 20

2) To solve for n, you have to divide by 2 on both sides.

3) 2n/2 > 20/2

4) 2n/2 = n

5) 20/2 = 10

6) The inequality is n> 10

There is no way to graph this as it has no x or y values in it (coordinate graphing requires x or y in the inequality)

The solution to the inequality is n > 10

To solve the inequality 2n > 20, we need to isolate n by dividing both sides of the inequality by 2:

2n/2 > 20/2

n > 10

The solution to the inequality is n > 10, indicating that n must be greater than 10 for the inequality to hold true.

To graph the solution, we represent the solution on a number line. We start by marking a point at 10, and then shade the region to the right of 10 to indicate all values greater than 10.

Graphically, it would be represented as an open circle at 10 with a shaded line extending to the right.

This represents the solution n > 10.

Learn more about inequality here

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In a certain breed of cattle, the length of gestation has a mean of 284 days and a standard deviation is 5.5 days. One length of gestation had a z-score of -1.70. Which of the following sentences best interprets the z-score?
A. The length of this gestation period was longer than the mean length of gestation periods by 1.7 days.
B. The length of this gestation period was shorter than the mean like the gestation periods by 1.7 days.
C. The length of this gestation period was longer than the mean length of gestation periods by 1.7 standard deviations.
D. The length of this gestation period was shorter than the mean length of gestation periods by 1.7 standard deviations.

Answers

Answer:

The statement that best interprets the z-score is;

D. The length of the gestation period was shorter than the mean length of gestation period by 1.7 standard deviations

Step-by-step explanation:

The given parameters are;

The length of the gestation period of the cattle breed = 284 days

The standard deviation = 5.5 days

The z-score of one length of gestation period was z = -1.70

The formula for finding the z-score, z is presented as follows

[tex]Z=\dfrac{x-\mu }{\sigma }[/tex]

Where;

x = The observed value for the gestation period

μ = The sample mean length for the gestation period = 284

σ = The gestation period standard deviation = 5.5

When Z = -1.70, we have;

[tex]-1.70 =\dfrac{x-\mu }{\sigma }[/tex]

∴ x - μ = -1.7 × σ

∴ x is shorter than μ by 1.7×σ

Therefore, the length of the gestation period, x, was shorter than the mean length of gestation period, μ, by 1.7 standard deviations, σ.

Answer:

D. The length of the gestation period was shorter than the mean length of gestation period by 1.7 standard deviations

Step-by-step explanation:

the measure of one interior angle of a regular 90-sided polygon.

Answers

9514 1404 393

Answer:

  176°

Step-by-step explanation:

The total of exterior angles is 360°, so one of those for the regular polygon will be 360°/90 = 4°. The adjacent interior angle is the supplement of this.

The interior angles measure 180° -4° = 176°.

Find the slope of the line passing through the points (-6,2), (0,-6).


A-6
B. 2
C. -4/3
DO
E-3/1

Answers

C. -4/3

[tex]slope = \frac{(y _{2} - y _{1}) }{(x _{2} - x _{1} )} \\ = \frac{( - 6 - 2)}{(0 -( - 6)} \\ = \frac{ - 8}{ 6} \\ = - \frac{4}{3} [/tex]

Helloo!! I really need help on this. Thank you! I’ll mark brainly.

Answers

Rise/Run

5/4

You go to the point farthest to the left and count up. This will be your Rise. Then you count over to the point on the right. This will be your Run.

hello!! Hope u are having a good day!! So to find slope you have to do rise/run so count up for the rise since this is positive slope and once u get to the other red dot count the run which is how many spaces it will take to get to the dot sideways. ANSWER: so the rise is 5 units and the run is 4. So it the slope will be written as 5/4!!

Hope this helps have a nice day!!! :)))

what is the length of the hypotenuse?

Answers

Answer:

10

Step-by-step explanation:

c²=b²+a²=100

so

c=10

jjthj

hello, I need help with question ASAP please​

Answers

Do 180 and subtract 171 so 9

Answer:

x= 9°

Step-by-step explanation:

[tex]180 - 171 = 9[/tex]

[tex]x = 9[/tex]

Solve the system of equations using the substitution method. X + 3y = -4 x= - 4y​

Answers

Answer:

x: -16

y: 4

Step-by-step explanation:

If 1 meter is equivalent to 3.28 feet, then approximately how many meters are in one mile?​

Answers

Answer:

1609.8

Step-by-step explanation:

Answer:

1609.34

Step-by-step explanation:

1 meter = 3.28 feet

1 mile = 5280 feet

Find the area of the prism pls help!!

Answers

Answer: There’s nothing there




Explanation: can’t help

Answer:

The pdf wont work

Step-by-step explanation:

cant help

Help! Now Please! Explain!

Answers

Answer:

83

Step-by-step explanation:

you go up so it is positive. it's up 83 so the number is 83.

Step-by-step explanation: The keyword is up. Since we're talking about integers and the keyword is up, the number is positive.

Therefore, the answer is 83, or say it like this, positive 83.

For example: Start at 0. Then go up by 83. (That's why there is a number line.

7p-5=6p+8 what is the answer to that

Answers

Answer:

p=13

Step-by-step explanation:

Answer:
P=13

Explanation:
First you move one of the p to combine with the other p. I choose the 6p to be the moving. Since 6p is a positive number, you subtract it when you move it. 7p-6p= 1p
Next you move the constants which are -5 and 8. Since we already move the ps to the left side, we should move the constants to the right side. Since -5 is a negative number, we need to add it when we move it. 5 + 8 =13
So p equals to 13

What is the equation of the line that passes through the point (1, 3) and is perpendicular to the line 2x+3y=15?

Answers

The equation of the line that passes through the point(1, 3) and is perpendicular to the line 2x + 3y = 15 is y = 3 / 2x + 3 / 2.

How to find the equation of a line perpendicular to another?

The line passing through (1, 3) is perpendicular to the equation 2x+3y=15.

Therefore,

y = mx + b

where

m = slopeb = y-intercept

Hence,

3y = -2x + 15

y = -2 / 3 x + 5

For line to be perpendicular it must follow the following rules;

m₁m₂ = -1

m₁(-2 / 3) = -1

-2m₁ = -3

m₁ = 3 / 2

Therefore, the equation can be found as follows:

3 = 3 / 2(1) + b

3 = 3 / 2 + b

b = 3 - 3 / 2

b = 6 - 3 / 2

b = 3 / 2

Hence,

y = 3 / 2x + 3 / 2

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You saved 20% off of the original price. The original price was $60. How much was your saving

Answers

Answer:

$12

Step-by-step explanation:

Find x so that x, X +2, X'+3 are the first three terms of a geometric sequence. Then find the 5" term of the
sequence.

Answers

Answer:

The fifth term is -1/4.

Step-by-step explanation:

We know that the first three terms of the geometric sequence is x, x + 2, and x + 3.

So, our first term is x.

Then our second term will be our first term multiplied by the common ratio r. So:

[tex]x+2=xr[/tex]

And our third term will be our first term multiplied by the common ratio r twice. Therefore:

[tex]x+3=xr^2[/tex]

Solve for x. From the second term, we can divide both sides by x:

[tex]\displaystyle r=\frac{x+2}{x}[/tex]

Substitute this into the third equation:

[tex]\displaystyle x+3=x\Big(\frac{x+2}{x}\Big)^2[/tex]

Square:

[tex]\displaystyle x+3 = x\Big( \frac{(x+2)^2}{x^2} \Big)[/tex]

Simplify:

[tex]\displaystyle x+3=\frac{(x+2)^2}{x}[/tex]

We can multiply both sides by x:

[tex]x(x+3)=(x+2)^2[/tex]

Expand:

[tex]x^2+3x=x^2+4x+4[/tex]

Isolate the x:

[tex]-x=4[/tex]

Hence, our first term is:

[tex]x=-4[/tex]

Then our common ratio r is:

[tex]\displaystyle r=\frac{(-4)+2}{-4}=\frac{-2}{-4}=\frac{1}{2}[/tex]

So, our first term is -4 and our common ratio is 1/2.

Then our sequence will be -4, -2, -1, -1/2, -1/4.

You can verify that the first three terms indeed follow the pattern of x, x + 2, and x + 3.

So, our fifth term is -1/4.

I
- 2y = -12
2x + 9y = 2

Answers

Answer:

I need more clarification for anythng else, this is the best i can do

Step-by-step explanation:

wdydwuhdudwuhdwdw sdhuhwd

the area of a triangle is 30cmsquare find the base if the altitude exceeds the base by 7 cm​

Answers

Answer:

5 cm

Step-by-step explanation:

Area= 1/2 base×altitude

let base be x cm hence altitude = x+7 cm

30 = 1/2 (x) (x+7)

60= x^2 + 7x

x = 5 or - 12

but measurements can't be in negative form hence -12 is discarded. Thus x= 5 cm

x= base hence base = 5cm

Answer:

base = 5 cm

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the altitude )

let base be b then h = b + 7

Given A = 30, then

[tex]\frac{1}{2}[/tex]b(b + 7) = 30 ( multiply both sides by 2 to clear the fraction )

b(b + 7) = 60 ← distribute left side

b² + 7 = 60 ( subtract 60 from both sides )

b² + 7 - 60 = 0 ← in standard form

(b + 12)(b - 5) = 0 ← in factored form

Equate each factor to zero and solve for b

b + 12 = 0 ⇒ b = - 12

b - 5 = 0 ⇒ b = 5

However, b > 0, thus b = 5

That is the base is 5 cm

What is the measure of Zx?
Angles are not necessarily drawn to scale.
х
41°
- Z
o
2=
0

Answers

Answer:

the answer its 49

Step-by-step explanation:

simple math just subtract 90-41 and you will get 49

49 es tu respuesta Lemus creí

Answer this please tell me if I’m correct

Answers

yes you are correct, :)

A parking garage charges $5 for the first hour, $10 for up to 2 hours, and $12 for the entire day. Let G be the dollar cost of parking for t hours

Answers

Answer:

Cost is G for t hours =[tex]\left \{ {5t for{t=0 <t<2} \atop 12 for{t >2}} \right.[/tex]

Step-by-step explanation:

According to question parking garage takes

5$ for 0 to 1hr

10$ for 0 to 2hr and

12$ for 0 to 24hr

Let t be the time for which car is parked in garage and the total cost is G then

G =[tex]\left \{ {5t for{t=0 <t<2} \atop 12 for{t >2}} \right.[/tex]  

therefore cost is G =[tex]\left \{ {5t for{t=0 <t<2} \atop 12 for{t >2}} \right.[/tex]

The cost of parking a car for 5 hours is required.

Cost of 5 hours will be $25.

The cost of parking for each hour = $5

The cost of parking for entire day = $120

Let [tex]t[/tex] be the number of hours

[tex]G[/tex] be the total cost.

The function will be

[tex]G(t)=5t[/tex]

The cost at 5 hours will be

[tex]G(5)=5\times 5=25[/tex]

So, cost of 5 hours will be $25.

Learn more:

https://brainly.com/question/22136086

PLZ HELP ASAP
Tina has a pet sitting business. She charges a flat service fee of $30, plus $20 per day for each animal. If one of her customers spent less than $170 on one animal, which of the following inequalities could be used to solve for x, the number of days the customer paid for pet sitting?
A.
$20x < $170
B.
$20x + $30 < $170
C.
$20x < $200
D.
$20x - $30 < $200

Answers

Answer:

Option B: $20x + $30 < $170 is the correct answer.

Step-by-step explanation:

Given that:

Service fee of Tina's business = $30

Per day charges = $20

Number of days =  x

Customer's budget = less than $170

According to given statement;

20x + 30 < 170

Hence,

Option B: $20x + $30 < $170 is the correct answer.

Write 5 pounds for $2.49 as a unit rate. Round to the nearest hundredth

Answers

Answer:

5 pounds = $2.49

1 pound = $2.49 ÷ 5 = $0.50 (nearest hundredth)

Answer: $0.50/pound

Step-by-step explanation:

The perimeter of an iPhone is 8.2 inches. What is the total length of the perimeters of 4 iPhones?

Answers

Answer:

32.8 is the answer

Step-by-step explanation:

hope it helps u

Answer:32.8

Step-by-step explanation:

A system of equations has 1 solution. If 4x – y = 5 is one of the equations, which could be the other equation?

y = –4x + 5
y = 4x – 5
2y = 8x – 10
–2y = –8x – 10

Answers

The answer is y=4x-5

Answer:

The answer is y=4x-5

A system of equations has 1 solution. If 4x – y = 5 is one of the equations, which could be the other equation?

y = –4x + 5

y = 4x – 5

2y = 8x – 10

–2y = –8x – 10

–2y = –8x – 10

Help Me pls i need this done by 11:59 pm

Answers

Answer:

11 or 22 would be one of your answer i believe it is 11 though

Step-by-step explanation:

mark me brainly have an amazing day

sparkles and love

☆*: .。. o(≧▽≦)o .。.:*☆

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