Mathematics High School

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

Simplify the ratio 40 : 144

Answers

Divide each by 2
40= 20
144= 72
Divide by 2 again
20=10
72=36
Divide by 2 one more time
10=5
36=18
Ans= 5:18

Plz help me with these two math problems

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function representing the number of customers on day x

f(x) = 3ˣ

Part A)

We need to determine the day when there are 243 customers.

so substitute f(x) = 243 in the function

[tex]f\left(x\right)\:=\:3^x[/tex]

Part B)

Solving the equation

[tex]f\left(x\right)\:=\:3^x[/tex]

[tex]243\:=\:3^x[/tex]

as 2⁵ = 243, so

[tex]\:2^5=3^x\:[/tex]

x = 5

The value of x = 5

Part C)

As the value of x = 5

Therefore, on the 5th day, there would be 243 customers.

Si 8 mesas cuestan $ 600, ¿cuál es el costo de 28 mesas?​

Answers

Answer:

2100

Step-by-step explanation:

Yo ya se

What is the approximate distance between points (-5,-1) and point M (7,6)?
A. 19.3units
B. 96.5units
C. 7 units
D. 13.9 units

Answers

C.) 7units im gay im gay 69430

The hypotenuse of a right triangle is 78 feet. One of the legs of the triangle is 30
feet. What is the measurement of the missing side? *

Answers

Answer:

b=72

Step-by-step explanation:

What is 1,000=850+0.2p

Answers

Heyy thanks for you question you answer would be P=750
Hope this helps!!

Here is a list of numbers 6,7,2,4,6,9,5,3,3

Answers

Answer:

mean = 5.375, median = 5.5, mode = 3, 6, range = 6

Step-by-step explanation:

this is the only thing i could think of that i could use those numbers for

Which statement(s) describe perpendicular lines? Choose ALL that apply.

A. Perpendicular lines never meet or cross.

B. Perpendicular lines form a 90 degree angle.

C. Perpendicular lines intersect.

Answers

Perpendicular line never meet so the answer is A
The answer is B & C. Parallel line are the lines that never meet or cross.

Helppp. Write an equation to solve for a. Then find the missing angle.

Answers

Answer:

180 = 90 + 52+ a

38 =a

Step-by-step explanation:

The sum of the angles of a triangle add to 180 degrees

180 = 90 + 52+ a

Combine like terms

180 = 142+a

Subtract 142 from each side

180 -142 = 142+ a -142

38 = a

90 + 52 + a = 180
142 + a = 180
-142 -142
a = 38

A= 38 degrees

pls help me I need to get to a 100 and I will mark you. ❤️

Answers

Answer:

It was greater from 2015 to 2016.

Step-by-step explanation:

From 2015 to 2016 it was a 30 person difference

From 2014 to 2017 there was a 5 person difference

it was greater frm 2015-2016

a rectangle has sides measuring (3x + 5) units and (6x + 11) units

Answers

Answer:

Part A: 18x^2+63x+55, B: second degree trinomial, Part c: (3x+5) (6x+11) =18x^2+63x+55

Miss okihara took a survey of different types of technology being used during online learning she collected the data as shown in the table below what percent of the students where using a desktop
14 students have a iPad
2 have a cellphone
9 has a desktop computer

Answers

Answer: 36%

Step-by-step explanation:

total devices: 14 + 2 + 9 = 25

9/25 = .36 = 36$

Question 7 What is (-29x= 14) + (-15x + 50)?​

Answers

Hello! I believe your answer would be:

-32/7, or as a mixed number, -4 4/7

hope this helped!

Which point best indicates the location of V45on the number line below?
A.Point A
B.Point B
C.Point C
D. Point D

Answers

Point d because the v45 amount it’s parole to this number:(-272on)::

What distance is traveled by a car going 80 km/h in a time of 4 hours 30 minutes? (please say the equation you used as well)

Answers

Answer:

360 miles

Step-by-step explanation:

(4 x 80) + 40

Can I have brainlyiest

Solve the system by substitution.
1. y = -6x – 7
y = -7x

2. -y=x
3x+5y=20

Answers

Answer:

For no. 1:

One of the equations say that y=-7x

So plug in -7x to the other equation as y so you equation would be

-7x= -6x-7

And then, just solve for the variable:

*add -6x to both sides*:

-x= -7

*multiply both by negative one to get a positive variable*

FOR NUMBER 1, THE ANSWER IS:

x=7

Y=-7

For no. 2:

-y=x and your other equation is 3x+5y=20

Plug in x as -y:

-3y+5y=20

*simplify*

2y=20

*divide by 2 on each side to get 1 variable alone*

Y=10

FOR NUMBER 2, THE ANSWER IS:

x=-y

Y=10

Ima just need help again

Answers

Answer:

B, E

Step-by-step explanation:

in parallelogram DEFG if m< GDE=50° find m

Answers

Answer:

130°

Step-by-step explanation:

180-50=130°

Simplify the following expression:
(2a - 3) + (-a + 5)
PLEASE HELP ME

Answers

Answer:

(a+2)

Soo you could solve by removing the parenthesis, then combining all like terms. Then subtract.

Your answer would be 1a+2
Or a+2

please help me ASAP this is hard

Answers

Answer:

31/40

Step-by-step explanation:

you only got 9 right side up, so you'll have to add the numbers that aren't right side up together and divide it by 40 since the total tosses is 40.

I need help! ASAP! ITS DUE AT 11:59 PM
Estimate too

Estimate:
9 1\4 - 3 2\3. Word Form: Nine and one - fourth minus three and two - thirds

Estimate them too plss! Ill give brainliest!

Answers

Estimated answer: 13
Exact answer: 12 11/12

Answer:

5 7/12

Step-by-step explanation:

Convert 5.5833333333333

Is this a function? Explain your answer in the space below.


Answers

Answer:

Yes, this is a function because all the x values are different.

Step-by-step explanation:

Pls help me out ty..

Answers

Answer:

3.14159265359

Step-by-step explanation:

Hope this helps :)

Answer:

3.14

Step-by-step explanation:

Technically, pi is a an irrational number, meaning that its decimal form neither ends or repeats. But we always shorten it to 3.14.

Elena is feeding her neighbor’s dogs. Each dog gets 1/2 cup of dog food, and she uses 3 cups of food when she feeds them. How many dogs does her neighbor have?

Answers

Answer:

6

Step-by-step explanation:

1/2 cup = 1 dog

1 cup = 2 dogs

x3 = 6

Answer:

Elena has five dogs.

Step-by-step explanation:

Each dog eats two-third cups of dog food. A total of three and one-third cups of food is used up

If 7x−2+5x−12+3 is simplified, which description best matches the equivalent expression

Answers

12x-11 boom your welcome

6x + y = -1
y=-3x - 4

Answers

Answer:

x = 1, y = 7

Step-by-step explanation:

If y = -3x - 4, then

6x -3x -4 = 1

3x - 4 =-1

3x = 3

x = 1

If x = 1, then

y = -3*1 -4 = -3 -4 = -7

A triangle has side lengths of 16 cm and 6 cm. Which could be the value of the third side, 23 cm or 20 cm? The value (select) cm is the value of the third side.

Answers

Answer:

15 cm

Step-by-step explanation:

A child building a tower with Blocks uses 15 for the bottom row. Each row has 2 fewer blocks than the previous row. What formula would you use to find the number of blocks in the 5th row?
A)blocks in 5th row =15+(15-1)-2
B)blocks in 5th row=15+(5-1)(-2)
C)blocks in 5th row=15+(5+1)(-2)
D)blocks in 5th row=5+(15-1)(-2)

Answers

Answer:

B)blocks in 5th row=15+(5-1)(-2)

Step-by-step explanation:

We are given that

Number of block in bottom row=15

Each row has 2 fewer blocks than the previous row

We have to find the formula would you use to find the number of blocks in the 5th row.

Number of blocks in  second row=15-2=[tex]15+1(-2)[/tex]

Number of blocks in third row=15-2-2=[tex]15+2(-2)[/tex]

Number of blocks in 4th row=[tex]15-2-2-2=15+3(-2)[/tex]

Number of blocks in 5th row=[tex]15-2-2-2-2=15+4(-2)[/tex]

Therefore, number of block in 5th row

[tex]15+(5-1)(-2)[/tex]

This is required formula to find the number of blocks in the 5th row

Hence, option B is true.

B)blocks in 5th row=15+(5-1)(-2)

Which expression is equivalent to (7^3)^-2 Please help

Answers

The correct answer is A :)

Hamburger: $6.00
Fries: $2.00
Tax: 7%
Tip: 20%

Total: ___

Answers

Answer:

$10.27

Step-by-step explanation:

H + F = $8, (7% of 8 is 0.56) [$8.56] + 20% = 10.272 --> $10.27

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