Use substitution to solve the
following system of equations.
9x + 5y = 32 AND y = -3x + 4

Answers

Answer 1

Answer:

x = -2

y = 10

Step-by-step explanation:

Since they already gave y as -3x +4, you will then have to substitute that amount into the formula

9x + 5y = 32

By doing that you get

9x +5(-3x+4) = 32

9x -15x +20 = 32

Then, you ill take 20 to the other side to subtract 32, which will get you

-6x = 12

Then, you will get x = -2

Then substitute that for the equation

y = -3x + 4

You will get

y = -3(-2) + 4,

You will get y as 10

SO then your final answer is x = -2, y = 10


Related Questions

If I get 5 XP every 5 minutes, how long does it take to get 10,000 XP?

Answers

Answer:

It would take 2,000 minutes

Step-by-step explanation:

2,000 times 5 is 10,000

Answer: 1,250 minutes to get 10,000 xp

Step-by-step explanation:

MATH!

Determine whether the statement is true or false. If the statement is​ false, make the necessary​ change(s) to produce a true statement.

If an event is certain to​ occur, its probability is 1.

Answers

Answer: false

Step-by-step explanation:

An event that cannot possibly happen has a probability of zero. If there is a chance that an event will happen, then its probability is between zero and 1.

hope this helps

Yes, The statement ''If an event is certain to​ occur, its probability is 1'' is true.

What is mean by Probability?

The term probability refers to the likelihood of an event occurring.

Given that;

The statement is,

''If an event is certain to​ occur, its probability is 1.''

Now,

Since, The event that is sure to happen is called a certain event and probability of such an event is 1 as this event is bound to happen.

Thus,  The statement ''If an event is certain to​ occur, its probability is 1'' is true.

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convert 1024 into base five numeral system​

Answers

The answer should be 10:24 as stated in above

Select the two values of x that are roots of this equation.
2x^2 — 11x + 15 = 0

A. x = 5
B. x = 3
C. x = 6
D. x = 5/2

Answers

Answer:

3 ; 5/2

Step-by-step explanation:

Δ= 121 - 120 = 1

x1 = (11 + 1)/4 = 3

x2 = (11-1)/4 =5/2

The solution of the quadratic equation is x = 3 and x = 5/2. Options B and D are correct.

What is a quadratic equation?

It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.

The given qudratic equation is,

2x² — 11x + 15 = 0

The values of the zeroes of a qudratic equation are calculated by the formula written below,

[tex]x = \dfrac{(-b \pm \sqrt{(b^{2} - 4ac)})} { (2a)}[/tex]

The solution can be calculated as,

[tex]x = \dfrac{(-(-11) \pm \sqrt{((-11)^2 - 4(2)(15))})} {(2(2))}\\x = \dfrac{(11 \pm \sqrt{(121 - 120)})} { 4}\\x = \dfrac{(11 \pm 1)} { 4}[/tex]

Hence, the value of x will be 3 and 5/2 for the given quadratic equation.

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PQR is an isosceles triangle with vertex angle Q, PQ = 5x - 24, QR = 3x - 2, and PR = 5x - 8.The length of each leg of △PQR is

Answers

Answer:

PQ = 31

QR = 31

PR = 47

Step-by-step explanation:

From the question, we have the vertex as Q

This means that we have the legs as PQ and QR; with PR as the base

The base angles of an isosceles triangle are equal and that means that the leg length values are equal

So, QR = PQ

Thus;

3x-2 = 5x-24

5x-3x = 24-2

2x = 22

x = 22/2

x = 11

So we have PQ as;

5(11) - 24 = 55-24 = 31

QR = 3(11) -2 = 33-2 = 31

PR = 5x-8 = 5(11)-8 = 55-8 = 47

Write the algebraic expression to represent "Eight
more than a number".

Answers

Answer:

8<x

Step-by-step explanation:

Allagater eats the bigger number

what is the common ratio of h(x)=-2(1/3)^x

Answers

Answer:

                                                                                               

Step-by-step explanation:

I don’t think there is a common ratio

find peremiter of pqr

Answers

Answer:

79.2 units

Step-by-step explanation:

Tangents to a circle from an external point are congruent , then

PQ = 27.4

QR = 5.9 + 12.2 = 18.1

PR = 12.2 + (27.4 - 5.9 ) = 12.2 + 21.5 = 33.7

Then

perimeter = PQ + QR + PR = 27.4 + 18.1 + 33.7 = 79.2

Given
1/4096 1/1024 1/256 1/64
Find a10

Answers

Answer:

1 / 2^-7 = 128

JUST DO IT! I DID THE MATH FOR U!!!!

ITS RIGHT!!!!!

Which word best describes the degree of overlap between the
two data sets?

low

none

moderate

high

Answers

It moderate

We are doing this in class now
So Yh

You deposit $4000 in an account earning 4% interest compounded monthly. How much will you
have in the account in 15 years?

Answers

You deposit $4000 in an account earning 4% interest compounded monthly. After 15 years, you will have approximately $7224.44 in the account.

To calculate the future value of an account with compound interest, we can use the formula:

Future Value = Principal * (1 + (Interest Rate / Number of Compounding Periods))^(Number of Compounding Periods * Time)

In this case, the principal (initial deposit) is $4000, the interest rate is 4% (or 0.04 as a decimal), and the compounding is done monthly, so there are 12 compounding periods in a year.

Substituting these values into the formula, we have:

Future Value = $4000 * (1 + (0.04 / 12))^(12 * 15)

Calculating this expression gives us:

Future Value ≈ $4000 * (1.003333)^180

Future Value ≈ $4000 * 1.806111

Future Value ≈ $7224.44

After 15 years, you will have approximately $7224.44 in the account, considering the given interest rate and compounding frequency.

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Maxine can swim 240 meters in 4 minutes. What is Maxine's unit rate?

Answers

Answer: A) 18.2 minutes
B) 4.5 minutes.
Step-by-step explanation:
A) Maxine can mow one lawn in 24 minutes, so the rate of work is:
1/24 of the lawn per minute.
Sammie can mow one lanw in 36 minutes, so the rate of work is:
1/36 of the lawn per minute.
The amount of the lawn that each has left to lawn by the minute x is:
Maxine = 1 -(1/24)*x
Sammie = 1 - (1/36)*x
we want to find the value of x such that:
2*(1 - (1/24)*x) = 1 - *(1/36)*x
which means that the amount that Sammie has left is two times the amount that Maxine has left to mow.
2 - (1/12)*x = 1 - (1/36)*x
2 - 1 = (1/12 - 1/36)*x
1/0.055 = x = 18.2
by the minute 18.2
B) Similar to before, here the rates are:
For Maxine, R = 1/6
For Sammie, R = 1/9
The amount they have left to mow by minute x is:
Maxine = 1 - (1/6)*x
Sammie = 1 - (1/9)*x
We want to solve, similar to before.
2( 1 - (1/6)*x) = 1 - (1/9)*x
2 - (1/3)*x = 1 - (1/9)*x
2 - 1 = (1/3 - 1/9)*x
1 = (2/9)*x
1*9/2 = x = 4.5
So here the solution is 4.5 minutes. Hope this helps

Solve central angle ​

Answers

Answer:

BC=48 degrees, AD= ??

Step-by-step explanation:

I'm going to find the angle BC so a full circle is 360 degrees but half of a circle is 180 degrees since we are dealing with half a circle its 180, 90 and 42 are already used so lets add these two numbers which is 132 lastly to find out the remaining which is angle BC we have to subtract 180-132 which is 48. So your first answer is 48.

Next is AD which i don't know how to do, Sorry :(

I need help finding the volume of the diameter please help ASAP!!!

Answers

Answer:

6885.1 yd^3

Step-by-step explanation:

the shape in the attached image is a sphere.

thus, we are to find the volume of a sphere

Volume = 4/3 nr^3

n = 22/7

r = radius

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

radius = 23.6/2 = 11.8 ft

4/3 x 22/7 x 11,8^3 = 6885.1 yd^3

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Help me ...........najajwjwjsjjjjdd

Answers

Answer:

the area of the figure is 50

Step-by-step explanation:

I NEED HELP WITH B PLEASE!! WILL GIVE BRAINLY

Answers

Answer:

AB = 30 & BD = 16

Step-by-step explanation:

Multiply all sides by two

Kareem works mowing lawns and babysitting. He earns $8.60 an hour for mowing and $8.10 an hour for babysitting. How much will he earn for 7 hours of mowing and 5 hours of babysitting?

Answers

Answer:

$60.20 for Mowing, $40.50 for Babysitting

$100.70 in total

Step-by-step explanation:

8.6 x 7 = 60.2

8.1  x 5 = 40.5

60.2 + 40.5 = 100.7

Put in order from smallest to largest: 0, 9/5, 0.25, 0.99, 1/3, 9/10, 1, 0.5

Answers

Answer:

0,0.5,9/10,0.25,1/3,0.99,1

Step-by-step explanation:

Answer:

if the smallest and the largest order is

0, 0.5, 0.25, 0.99, 1, 1/3, 9/5, 9/10

therefore:

the order from smallest is 0

the order from largest is 9/10


Find the exact value of sin A in simplest radical form.
B
12
V63
с
9
A

Answers

Answer:

sin A = [tex]\sqrt{7}/4[/tex]

Step-by-step explanation:

sin A = opposite side/hypotenuse

sin A = [tex]\sqrt{63}[/tex] / 12 = [tex]3\sqrt{7} /12 = \sqrt{7} /4[/tex]

WILL GIVE BRAINLIEST ANSWER!!!!

KP is a radius of the circle. Is JK tangent to the circle? Note the figure may not be drawn to scale.

Answers

Answer:

JK is NOT tangent to the circle

Step-by-step explanation:

A tangent of a circle is a line that intersects a circle at one and only one point. For this reason, the radius will always intersect a tangent at a 90 degree angle to prove this single point intersection. From the triangle, we can introduce the Pythagorean theorem to see if the triangle is a right triangle:

a^2 + b^2 = c^2

48^2 + 14^2 = 36^2

2304 + 196 = 1296

2500 ≠ 1296

As this is not equal, the triangle is not a right triangle and therefore states that the tangent line does not intersect the radius at 90 degrees, meaning that it does not satisfy the requirements of a tangent line.

Answer:

second account

Step-by-step explanation:

fgh du hhghyy fguuyiugy hcyyitxguyiohiyhcegbjv. hightail oit n

9. Which expression represents the volume of the sphere in cubic inches?
-15 in
A. πx15 ²
B.4/3 x π x 15 ³
C.1/3 x π x 15 ³
D. π x 15 ³

Answers

15 16band 17 bcuz it coo and I have 16 and ty I have 17 and I don’t 15

What is the range of the following data?



​ 7 , 5 ,9 , 10 , 1 , 2 , 2 , 8

Answers

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

10-1 = 9

How much did I spend on my 12$ meal with 5% tax and a 15% tip left after

Answers

Answer:

$14.49

Step-by-step explanation:

Since the question asked you how much you spent on the meal including the 5% tax and the 15% tip after the tax, it's basically asking you to calculate the percentage of the meal and subtracting it by the amount.

what is the sum of 3 and n ?select all that apply
a. 3n
b. n+3
c. 3+n
d. n+n+n
c. n to the 3rd power

Answers

Answer:

c. 3+n

b. n+3

Step-by-step explanation:

This correct answers is c. 3 + n.

HELPPP PLEASE PLEASE

A sales representative sells a salad
dressing recipe for $620 and gets an
additional $0.15 for each bottle sold.
Write an equation to model the total
payment.

Answers

Answer:

620+0.15x=total payment

Step-by-step explanation:

It is the price of the recipe plus the amount the representative gets per bottle sold. Replace x with the number of bottles sold and multiply it by the 0.15. Add the 620 and you get your total.

HELP ME WITH THIS PLEASE

Answers

Answer:

The dime section does not belong. If you add it together it equals 50, while the others all equal/ add up to 25.

“What is 1/2 written as a...
percent”
Please help in lowkey lost

Answers

the answer is 50% because 1 divided by 2 is .5 and .5 x 100% is 50

Please answer, I'm doing a test and it is almost done!!!

What is the value of the expression, written in standard form?

Answers

50

(e= 10 to the power of)
6.6e-2/3.3e-4= 3.3e4/6.6e2=0.5e2= 0.5x10^2=50

Answer:

200

Step-by-step explanation:

6.6 divided by 3.3 is 2

10^-2 divided by 10^-4 is 10^2 or 100

2 times 100 is 200

Two is subtracted from a number, and then the difference is multiplied by 5. The result is 30

Answers

Answer:

8

Step-by-step explanation:

8-2=6

6x5=30

Answer:

y = 8

Step-by-step explanation:

(y - 2) × 5 = 30

(y - 2) × 5 ÷ 5 = 30 ÷ 5

y - 2 = 6

y - 2 + 2 = 6 + 2

y = 8

Check

(8 - 2) × 5 = 30

6 × 5 = 30

What type of association is shown in the scatter plot?
A) positive linear association
B) negative linear association
C) positive nonlinear association
D) no association

Answers

Answer:

a

Step-by-step explanation:

if you drew a line where those plots are from the origin, it would be positive and linear

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