Solve the following system of equations. Enter the y-coordinate of the
solution. Round your answer to the nearest tenth.
5x+y=21
- 2x + 61=-34

Answers

Answer 1

Answer:

(13.5,-46.5)

Step-by-step explanation:

Since equation 2 is missing y, then x is a constant

-2x + 61 = 34

-2x = 34 - 61

-2x = -27

x = 13.5

Then plug x into the 1st

5x + y = 21

5 * (13.5) + y = 21

67.5 + Y = 21

y = 21 - 67.5

y = -46.5

So the point satisfying both equations is (13.5,-46.5)


Related Questions

The water level in a plastic pool changed
by −8 gallons each hour due to a small
hole in the bottom. After 6 hours, the pool
contained 132 gallons. How much water
was in the pool originally?

Answers

Answer: 180 gallons

Step-by-step explanation:

If you take 8 times 6 you get 48, now take 132 plus 48 and you get 180.(hope this helped):)

solve for x: 3x²-243

Answers

3x²–243=0 —> 3 (x²–81) = 0 —>

x²–81=0 —> (x-9)(x+9)=0

x-9=0 —> x=9

x+9=0 —> x=–9

I hope I helped you^_^

Use Euclid’s Ladder (or a factor tree) to write the prime factorization.
1. 64
2. 100
3. 54

Answers

Answer:

64

Step-by-step explanation:

the answer is 64 hope this helps

I can’t do factor trees on here, but I’ll try my best

64 =
32, 2 =
16, 2, 2 =
8, 2, 2, 2 =
4, 2, 2, 2, 2 =
2, 2, 2, 2, 2 =
2^5

100 =
50, 2 =
25, 2, 2 =
5, 5, 2, 2 =
2^2 * 5^2

54 =
27, 2 =
9, 3, 2 =
3, 3, 3, 2 =
3^3 * 2

What is the value of the expression below when z=6
z²+3z-3

Answers

Answer:

51 I hope it will help you

Step-by-step explanation:

mark me as a brainlist answer

Answer:

51

Step-by-step explanation:

Plug in z

(6)^2 + 3(6) - 3

36+18-3

54-3= 51

Does anyone know how to do these. Its due in the morning. Pls help

Answers

Answer:

15)

Given equation:

y = 2/5x - 3

To plot the line first find two points:

1. x = 0 ⇒ y = -32. x = 5 ⇒ y = -1

Plot (0, -3) and (5, -1) and connect the points with a line. This will be the required line.

16)

Use Pythagorean to find the missing leg:

[tex]x = \sqrt{13^2 - 5^2} = \sqrt{144} = 12[/tex] units

The circumference of a circular garden is 106.76 feet. What is the radius of the garden? Use 3.14 for π and do not round your answer.

Answers

Answer:

Step-by-step explanation:

The circumference formula is

C = 2πr. If we are solving the for the radius, and we are using 3.14 for π, we can fill in accordingly:

106.76 = 2(3.14)r and

[tex]\frac{106.76}{2(3.14)}=r[/tex] so

r = 17

A polynomial has one root that equals 2 + i. Name one other root of this
polynomial.

Answers

Answer:

sorry

Step-by-step explanation:

polynomial is not given

question is incomplete

HELP!!!!!!!!!!!!!!!!

Answers

Answer:

14...

area = 1/2 b h

b= 7-0 = 7 ... 7/2 = 3.5

h = 7-3 = 4

3.5 * 4 = 14

Step-by-step explanation:

round to the nearest underlined place 18 904 A. 18,000 B. 19,000 C. 20,000 D. 18,920

Answers

Answer:

B 19,000

Step-by-step explanation:

;------------------------;

If the function f is given by f(x)= 4x -3, find the value of f(2+h)

Answers

f(x)=4x-3

[tex]\\ \sf\longmapsto f(2+h)[/tex]

[tex]\\ \sf\longmapsto 4(2+h)-3[/tex]

[tex]\\ \sf\longmapsto 4h+8-3[/tex]

[tex]\\ \sf\longmapsto 4h+5[/tex]

11.49 for 3 packages

Answers

Answer:

Individual package would be 3.83

Hope this helps <3 Comment if you want more thanks and be sure to give brainliest (4 left) <3

A vehicle is travelling from rest. After 10 seconds its velocity will be 20ms find acceleration?​

Answers

Initial velocity (u) = 0m/s

Final velocity (v) = 20m/s

Time (t) = 10 s

Acceleration (a)

= (v - u)/t

= [(20m/s) - (0m/s)]/10s

= (20m/s)/10s

= (20m/s²)/10

=> 2m/s²

2.(08.01 MC)
Find the volume of a cylinder with a diameter of 8 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to the nearest hundredth. (Hint:
You may only enter numerals, decimal points, and negative signs in the answer blank)

Answers

Answer:

Step-by-step explanation:

Start by finding the radius

d = 8

r = d/2

r = 8/2

r = 4

Next find the height

the height = 3 times the radius

the height = 3 * 4

The height = 12

Volume = pi * r*r * h

pi = 3.14

r = 4

h = 12

V = 3.14 * 4 * 4 * 12

V = 602.88

3 angles
triangle
in
ratio 1:3:3
3:.
Find the angles

Answers

Answer:

1st angle = 30

2nd angle = 60

3rd angle = 90

Step-by-step explanation:

let ,1st angle be x , 2nd angle be 2x and 3rd angle be 3xx+2x +3x =1806X =180x =180/6x =30

comeplete using distributive property (x+2x+3x)(x+4)​

Answers

Answer:

6x^2 + 24x

Step-by-step explanation:

This is Solving Linear Equations.

Answers

Answer:

x=12

Step-by-step explanation:

you have to group the like terms in order to solve this equation, this will result to;

5/2x-3/4x=14+7

1.75x/1.75=21/1.75

x=12

I hope this helps

Required solution :

The given equation is,

(5 / 2)x - 7 = (3 / 4)x + 14

5x - 14 / 2 = (3 / 4)x + 14

Transposing 14 from R.H.S. to L.H.S.,

(5x - 14 / 2) - 14 = (3/4)x

5x - 14 - 28 / 2 = 3x / 4

5x - 42 / 2 = 3x / 4

4 (5x - 42) / 2 = 3x

4 × (5x - 42) / 2 = 3x

2 (5x - 42) = 3x

10x - 84 = 3x

10x - 3x = 84

7x = 84

x = 84 / 7

x = 12

Therefore, option d that is 12 is correct.

You are looking at your power bill for the month, you pay 15 cents per kilowatt-hour. Your power bill came out to $70.74 how many KWH of energy were used in your house this month?​

Answers

The number of kilowatt-hours used KWH is 471.6 KWH.

Since the power bill for the month says you pay 15 cents per kilowatt-hour, this is the rate of the bill. We convert this a a dollar rate.

So, 15 cents per kilowatt-hour = 15 cents × $ 1/100 cents per kilowatt-hour (since $ 1 = 100 cents)

= 15 cents/100 × $ 1/100 cents per kilowatt-hour

= 0.15 × $ 1/100 cents per kilowatt-hour

= $ 0.15 cents per kilowatt-hour.

Since the power bill came out to be $ 70.74, we need to find the number of kilowatt-hours used KWH.

The total amount on bill = rate of bill × number of kilowatt-hours used.

So, number of kilowatt-hours used = total amount on bill/rate of bill

Total amount on bill = $ 70.74 and rate of bill =  $ 0.15 cents per kilowatt-hour.

So, number of kilowatt-hours used = total amount on bill/rate of bill

number of kilowatt-hours used = $ 70.74 /$ 0.15 cents per kilowatt-hour.

number of kilowatt-hours used = 471.6 KWH

So, number of kilowatt-hours used KWH is 471.6 KWH.

Learn more about power bill here:

https://brainly.com/question/1401925

Can you please answer this answer with a step by step explanation?

the BEST answer gets the BRAINLIEST answer mark!​

Answers

Answer:

Step-by-step explanation:

If K is square number, then exponents in number N are even.

Which pieces of information can be gathered from these box plots?

Answers

Answer:

A & C

Step-by-step explanation:

Which one of the following equations is equivalent to 3x - 12 = -9 ?
A= 2x = 4
B= x - 5 = -6
C= x + 3 = x - 1
D= 7x - 3 = 4

Answers

Step-by-step explanation:

, it's was helpful to you

[tex]3x - 12 = - 9 \\ x - 4 = - 3 \\ x = - 3 + 4 \\ x = 1 \\ \\ 2x = 4 \\ x = \frac{4}{2} \\ x = 2 \\ \\ x - 5 = - 6 \\ x = - 6 + 5 \\ x = - 1 \\ \\ x + 3 = x - 1 \\ x - x = - 1 - 3 \\ x = - 1 - 3 \\ x = - 4 \\ \\ 7x - 3 = 4 \\ 7x = 4 + 3 \\ 7x = x \\ x = \frac{7}{7} \\ x = 1[/tex]

PLS HELP ME ON THIS QUESTION I WILL MRK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Which of the following measures is a measure of spread?
A. median
B. range
C. mode
D. mean

Answers

Answer:

range

Step-by-step explanation:

Answer:

B. range.

Step-by-step explanation:

others are:

» Standard variation.

» Interquatile range.

» Quatiles, deciles and percentiles.

» variance.

[tex]{ \underline{ \blue{ \sf{christ \: † \: alone}}}}[/tex]

3) Suppose Sandra makes credit card purchase for $4,000 that compounds interest daily. The APR is 3%. How much interest is earned on Sandra’s card after 1 year if Sandra makes no payments? (Use the formula below for help).

A=P(1+r/n)nt

Answers

Answer:

$121.81

Step-by-step explanation:

A=  4000(1+.03/365)^365

[tex]4000\left(1+\frac{0.03}{365}\right)^{365}=4121.81305\dots[/tex]

Total interest earned on Sandra’s card after 1 year is $4,121.81

What is compound interest?

Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.

A=P(1+r/n[tex])^{nt}[/tex]

Where:

A = the future value of the investment or loan

P = the principal investment or loan amount

r = the interest rate (decimal)

n = the number of compound periods

Given,

A=P(1+r/n[tex])^{nt}[/tex]

Sandra makes a credit card purchase for $4,000 that compounds interest daily.

P = $4,000

r =3%

t = 1 year

A=P(1+r/n[tex])^{nt}[/tex]

Substitute the values of P, r and t in the formula,

First, convert R as a percent to r as a decimal

r = R/100

r = 3/100

r = 0.03 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 4,000.00(1 + 0.03/365)(365)(1)

A = 4,000.00(1 + 8.2191780821918E-5)(365)

A = $4,121.81

Therefore, total interest earned on Sandra’s card after 1 year is $4,121.81.

To learn more about the compound interest rate;

https://brainly.com/question/13307568

#SPJ5

term 1 is -3, term five is 5. find the tenth term?

Answers

Answer:

t(10) = 15

Step-by-step explanation:

5 - (-3)/ 5 - 1

= 2

t(n) = t1 + (n - 1)(d)

t(10) = -3 + (10 - 1)(2)

t(10) = -3 + (9)(2)

t(10) = -3 + 18

t(10) = 15

3/2x + 7/2 = 2x what is the solution to the equation

Answers

Answer:

x=7

Step-by-step explanation:

3/2x + 7/2 = 2x

Subtract 3/2x from each side

3/2x -3/2x + 7/2 = 2x-3/2x

7/2 = 2x -3/2x

Get a common denominator

7/2 = 4/2x - 3/2x

7/2 = 1/2 x

Multiply each side by 2

7/2 *2 = 1/2x*2

7 =x

Answer:

x=7

Step-by-step explanation:

im smart

Use graphing technology to find the range of the function f(x)=|x-3|

Answers

Answer:

[0,infinity)

Step-by-step explanation:

Since it's a modulus function, f(x) will have a range of [0,infinity). Use desmos for graphing it

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
A construction company buys a certain number of boxes of nails depending on how many houses they plan to build in a year. They have 5 boxes left over from the previous year and predict that this year they will need 3 boxes per house. Write an equation where y represents the number of boxes they need to purchase and x the number of houses they plan to build.
A. y=5x−3
B. y=3x+5
C. y=5x+3
D. y=3x−5

Answers

Answer:

I'm not so sure but i guess it's option D y=5x-3

the question said that the number of box of nails are purchased depending on how many houses they planned to build. so for knowing the boxes of nails they need to purchase they need to subtract the boxes which were left and the boxes we need now

If I start a road trip with 10,425 miles on my auto meter and I end it with 23,840 miles showing how many miles was my trip

Answers

Answer:

13,415 miles

Step-by-step explanation:

Final position - initial position = Miles traveled:

23,840 miles - 10,425 miles = 13,415 miles

The average price for a new car is $30,000. Each year, the value of that car decreases by 15%.

Explain the meaning of the y-intercept, appropriate domain and range, and whether the function is increasing or decreasing.

Answers

Answer:

y int: The starting value. Domain: All Real Numbers. Range: y<=30,000. The Function is decreasing

Step-by-step explanation:

The y int. is the starting value because it is the point where no years have started yet on the x axis so that means that the value of the car will be as if you had just bought it. The domain is all real numbers because the number of years you could have the car could be infinate. The range is the y axis part meaning that it could be any number starting from 30,000 and decreasing because the car value is constantly decreasing. And due to the fact that the price is going down every year by 15%, the function is decreasing.

3 times the sum of a number and 4 is 20

Answers

Answer:

as per the statement we form an algebraic equation as

3(x+4) = 20

3x + 12 = 20

3x = 8

x = 8/3

as per my understanding that's the answer

Which equation describes the same line as y- 6 = -4(x + 1)?

O A. y-4x+7
O B. y - 4x4
O c. y - 4x + 2
O D. y=-4x+ 3​

Answers

Answer:

Option C is correct

Step-by-step explanation:

[tex]y−6=−4(x+1) \\ [/tex]

[tex]y−6=−4x−4 \times 1[/tex]

[tex] y−6=−4x−4 [/tex]

[tex]y=−4x−4+6 [/tex]

[tex]y=−4x+2[/tex]

Hope it is helpful....

option C is correct
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