Solve the system of equations by substitution.
3/8x +1/3y=17/24
x+7y=8

Answers

Answer 1

Answer:

x=1, y=1.

Step-by-step explanation:

From the second equation:

x = 8 - 7y, so substituting for x in the first equation:

3/8(8 - 7y) + 1/3y = 17/24

3 - 21/8 y + 1/3y = 17/24

1/3y - 21/8y = 17/24 - 3

Multiply through by 24:

8y - 21*3 y = 17 - 72

8y - 63y = -55

-55y = -55

y = 1.

And  substituting for y in the second equation:

x + 7(1) = 8

x = 8 - 7

x =  1.


Related Questions

Question: The table shows pairs of random digits. The pairs in each group simulate the 5 shots taken by the opponent.
The paired digits 00 to 99 represent 100 shots.
Let 00 to 72 = a shot that is saved. Which digits represent a goal scored? Explain.

Answers

Answer:

ANSWER

Step-by-step explanation:

factorise 49m²-84mn+36n² using the identity x²+(a+b)x+ab=(x+a)(x+b)​

Answers

Answer:

(7m-6n)(7m-6n)

Step-by-step explanation:

Given the expression 49m²-84mn+36n², this can also be written as;

49m²-84mn+36n²

= 7²m² - 84mn + 6²n²

= (7m)²-2*7m*6n+ (6n)²

= (7m-6n)²

= (7m-6n)(7m-6n)

Hence the expanded form is  (7m-6n)(7m-6n)

Ms. O'Rourke has graded 20% of her 150 students'
papers. How many papers does she still need to finish
grading?

Answers

Answer:

150−30=120 papers are still left to do

Step-by-step explanation:

150−30=120 papers are still left to do

Tony made $208 for 13 hours of work. At the same rate, how many hours would he have ro work to make $144

Answers

Answer:

9 hours

Step-by-step explanation:

208 / 13 = $16 per hour

144 / 16 = 9 hours

Answer:

9 hours

Step-by-step explanation:

208 divided by 13 is 16. So then u take 16 and divide it by 144, and if you do long division you would get 9. Hopefully this helps

A soda costs $1.25 in a vending machine. A 12-pack of the same soda costs $3.49 at a grocery store. How much do you save by buying a dozen cans at the grocery store?

Answers

Answer:

you would save 11.51 dollars

Step-by-step explanation:

12 cans times the vending machine price of 1.25$= $15

15-3.49=11.51

Please help!! 10-15 much appreciated! :)

Answers

Answer:

Step-by-step explanation:  sin β = [tex]\frac{oposite }{hypotenuse}[/tex] ; cos β = [tex]\frac{Adjacent}{Hypotenuse}[/tex]

10) sin [tex]32^{0}[/tex] = [tex]\frac{x}{18}[/tex]

18 sin [tex]32^{0}[/tex] = x

18 (0.53) = x

x= 9.5 units

cos [tex]32^{0}[/tex] = [tex]\frac{y}{18}[/tex]

18 cos [tex]32^{0}[/tex] = y

y = 18 (0.85)

y = 15.3 units

You use the same strategy for the rest of the questions. Feel free to reach out if you have more questions.

12 1/2 − 9 1/4
This problem comes from subtract mixed numbers
5 3/4 - 2 5/12
7 1/5 - 3 7/10
11 2/3 - 8 1/2

Answers

To convert a mixed number to an improper fraction, multiply the denominator by the whole number out front, then add the numerator. Keep the denominator. For example:

12 1/2 = 2 * 12 + 1 = 25/2
9 1/4 = 4 * 9 + 1 = 37/4

Multiply 25/2 by 2/2 to have a common denominator:
25/2 * 2/2 = 50/4

50/4 - 37/4 = 13/4 or 4 1/3

please help will give brainliest

Answers

Answer:

I think it is C.

Step-by-step explanation:

Answer:

volume is length x width x height, the answer is 160 cubed feet.

Step-by-step explanation:

Length x width x height and bam, there is your answer

Ethan uses the function f(x) = 2x2 + 2x + 4 to track the temperature of a substance over 8 hours. You know that f(3) = 28 meaning that the temperature of the substance is 28°C when you plug in a 3 for x. What is the domain of Ethan’s function?

Answers

The domain of the function f(x) = 2x² + 2x + 4  is (-∞, ∞).

What is Quadratic equation?

The polynomial equation whose highest degree is two is called a quadratic equation or sometimes just quadratics. It is expressed in the form of:

ax² + bx + c = 0

where x is the unknown variable and a, b and c are the constant terms.

You have the quadratic function

f(x) = 2x² + 2x + 4 ,

and remember that all quadratic functions are parabolas opening at point called the vertex.

Since you can plug any real number in our parabola here, its domain is all the real numbers, and this is true for all the quadratic functions of the form ax² + bx + c = 0.

Thus, in interval notation the domain of the function  is (-∞, ∞).

Learn more about Quadratic Equation from;

https://brainly.com/question/2263981

#SPJ1

PLEASE HELP!! I’ve been stuck on this problem for a while!!!!!!!!!!

Answers

Answer:

What are the options?

Step-by-step explanation:

I'll do it once it the options

Please help me, i am honestly confused, its about 1am, and i rlly, rlly need help

Answers

y=2

There is no slope because the y value stays constant. When the table is graphed, it is a horizontal line at 2. I hope this helps!

Find the unit rate. Enter your answer as a mixed number. 7 1 A fertilizer covers 8 square foot In = hour. The unit rate is square feet per hour.​

Answers

Answer:

Step-by-step explanation:

7 1 A fertilizer covers 8 square foot In = hour. The unit rate is square feet per hour.​

If you chose to use substitution to solve this system what should your equation look
like?
y=5x-5
y= -4x+22

Answers

Substitution-

Step-by-step explanation:

y=5x-5

y= -4x+22

1- use y=5x-5 solve for y (here you don't really have to do anything)

       This stays the same, Therefore y = 5x-5

2- you will substitute y=5x-5 for y in y= -4x+22. The problem should now look like this:

               5x-5= -4x+22

Solving for x

now, with the equation above you will solve for x-

5x-5= -4x+22         (add 4x to both sides)

9x-5= 22               (add 5 to both sides)

9x=27                   (divide by 9)

x=3

Solving for y

Now that you Know that x=3 you can substitute x=3 for x in y=5x-5. The problem should look like this:

                                                    y= 5(3)-5

Now with the equation above you can solve for y

y= 5(3)-5              (multiply 5 by 3)

y= 15-5                 (subtract)

y=10

Now you have your answers X=3  Y=10

i hope this helps!

Write the equation in slope intercept form of the line passing through the following points (0,5) and (-5, -1).

Answers

Answer:

y = 6/5x

Step-by-step explanation:

1. [tex]y = \frac{-1-5 }{-5-0}[/tex]

2. subtract the two number on the top of the fraction bar to get 6

3. do the same for the denominator to get 5

4. your final answer is [tex]\frac{6}{5}[/tex]

Are heart rate and age proportional or non proportional for each method

Answers

Answer:

Yes

Step-by-step explanation:

For example

Doctors have two methods of calculating maximum heart rate. With the first method, maximum heart rate, y, in beats per minute is y=220−x, where x is the person’s age.

Suppose that y varies directly with x and inversely with z, and y = 6 when x = 8 and z = 4. Write the equation that models the relationship. Then find y when x = 2 and z = 3

Answers

Answer:

y=18

Step-by-step explanation:

explanation is in the attachment above

the graph of y=(1/3)x-1​

Answers

Answer:

Step-by-step explanation:

Tuition for one year at Tarleton University is about $14,500. McKenzie wants to attend this university and will save money each month for the next 4 years. Her father will give her $6300 for her first year of tuition, and she received a $3,000 Grant. What is the amount of money McKenzie must save per month to have enough money to pay for her first year of tuition?​

Answers

Answer:

5200

Step-by-step explanation:

You know that she needs 14,500 for her first year

she has a total of 3000+6300 so far

To find out how much she needs just take the difference

14500-(3000+6300)=5200

If you know this please answer all fake answers will be reported thanks

Answers

Answer:

50.24 inches

Step-by-step explanation:

[tex]3.14 * 4^{2}[/tex]

3.14 * 16

= 50.24

In the equation 5b = 45, b = 10

True or False

Answers

The answer is falseeeeeeeee

Answer:

False b=9

Step-by-step explanation:

In the equation 5b+45, b is equal to 9

The way we get this answer is by dividing each term by 5 and then simplifying

45/5

45/5=9

Hope this helps :)

In a family of 6 children what is the probability there are exactly 4 girls?

Answers

Answer:

sonn 12 laalkznjsnl nalslaonhfj. alallkzhdbb nLaojahdnldl

i really need help please help me

Answers

Answer:

5.667 yards of fabric was used to make a cape

Step-by-step explanation:

(Total Yard of Fabric)1/3 = (What's Used)

Total Yard Fabric = 17

What's Used = x

1 third = 1/3

(17)1/3 = x

x = 17/3 or about 5.667 yards of fabric used

Double Check:

5.667/17 = 0.3334 which is about 1/3

If you want to find how much he has left:

1 - 1/3 = 2/3

17(2/3) = x

x = 34/3 or about 11.333 yards of fabric left.

Double Check:

11.333/17 = 0.6666 which is about 2/3

help with 4 please thank you

Answers

Answer:

=3x^2+4

Step-by-step explanation:

Subtract 8 from 12.

3x^2+4

Simplify the expression ((x^3 * y^-3))^4/ 2x^1 * y^4

Answers

Simplify: (X^3 * Y^-3)^4/2x^1 * y^4
= (X^12 * Y^-12)/2x * y^4


Courtney is flying a kite and 125 ft of the string is let out. The angle of elevation between the kite and the ground is 48°. Find the approximate height of the kite.

Answers

Answer:

rrrrrrreeeeeeeeeee

Step-by-step explanation:

jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj

The parking lot is 4 km wide. The area of the parking lot is 24 kilometers. What is length of the parking lot?

Answers

Answer: 6km


Reason: The area of a rectangle is length times width equals area so to find length from with in the area you divide area by height. 24/4=6

Answer:

6

Step-by-step explanation:

divide 4 and 24

PLEASE HELP ME, ANSWER ONLY IF YOU KNOW AND IF YOU CAN ADD THE EQUATION
(Whoever adds the equation and it seems correct will earn brainliest.)

A group of friends wants to go to the amusement park. They have no more than $175 to spend on parking and admission. Parking is $12.50, and tickets cost $16.25 per person, including tax. Write and solve an inequality which can be used to determine xx, the number of people who can go to the amusement park.

Answers

Answer:

12.5 + (16.25 * 1.0716)x ≤ 175

Step-by-step explanation:

The state tax is approximately 7.16%, so it's why I multiplied 16.25 with 1.0716.

what is - 3/4 x (- 2/7) x 4/3? Explain your work

Answers

hope this helped! the answer is 2^7

The slope below the line is -1/7. Write a point-slope equation of the line using the coordinates on the labeled point.

Answers

Honestly bro I wish I could help you but I just hope someone comes along and can help. Good luck!

Answer: y – 3 = –1/7(x – 3)

What is the sum of all exterior angles in a polygon?

Answers

The sum will be 360 hope that helped
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