Solve for x in the two equations below using substitution
12x-6y=60
24x+6y=300

Answers

Answer 1

Answer:

x = 10

Step-by-step explanation:

Given the 2 equations

12x - 6y = 60

24x + 6y = 300

Adding the 2 equations term by term will eliminate the y- term, that is

36x + 0 = 360

36x = 360 ( divide both sides by 36 )

x = 10


Related Questions

Plz, HELP! Heather earned 750$ at a summer job and deposited it in a bank. The savings account paid 3% simple annual interest. What is the balance in her account at the end of four years? Please Answer correctly and explain your answer. :D

Answers

Answer: 844.131607

Step-by-step explanation:

750/100=7.5

7.5 is 1%

22.5 is 3%

YEAR 1 (750+22.5) 772.5

772.5/100

7.725 is 1%

23.175 is 3%

YEAR 2 (23.175+772.5) 795.675

795.675/100

7.95675 is 1%

23.87025 is 3%

YEAR 3 (23.87025+795.675) 819.54525

819.54525/100

8.1954525 is 1%

24.5863575 is 3%

YEAR 4 (24.5863575+819.54525) 844.131607

:D Done! Please give me brainliest! It took alot of time for me to do this!

along with this one please

Answers

X=5.2
Hope this was helpful

Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

x = 2√3

Step-by-step explanation:

The sides of a 30-60-90 triangle are always in the ratio 1:√3:2.

The length of the side opposite the 90° angle is 4, so the length of the side opposite the 30° angle is 2 and the length of the side opposite the 60° angle is 2√3.

x = 2√3

A linear function includes the points (2, 3) and (6, 8). What is the rate of change of the linear function?
Write the answer as an improper fraction (fraction greater than one) in lowest terms.

Answers

Answer:

The rate of change of a linear function = 5/4

Step-by-step explanation:

Given that a linear function includes the points (2, 3) and (6, 8).

So we have the points

(2, 3)(6, 8)

We know that the rate of change of a function is also termed as the slope of the function.

In other words, the slope of the linear function gives us the rate of change of the linear function.

Thus,

Determining the rate of change or slope between (2, 3) and (6, 8)

(x₁, y₁) = (2, 3) (x₂, y₂) = (6, 8)

Using the formula

Rate of change = Slope =  [y₂ - y₁] /  [x₂ - x₁]

                                       =  [8 - 3 / [6 - 2]

                                       = 5 / 4

Thus, the rate of change of a linear function = 5/4

Find the gcf of X^2-5x

Answers

Answer: This answer is 1

Step-by-step explanation: Plzz mark brainliest - Lily ^_^

Does anyone know how to do this

Answers

Answer: this was a rotation.

The answer will be rotation

HELP I NEED HELP ASAP

FIND THE SLOPE AND Y-INTERCEPT OF THE TABLE.

Answers

I don’t know about the slope but the Y-Intercept is just the Y.

HELP TRUE OR FALSE PLSS SO HARD

Answers

Answer:

False I think :>

Step-by-step explanation:

Answer:

false

hope this helps you! :)

Express this number in scientific notation.
31 billion

Answers

31 x 10 raised to power of 10

Hope this helps

Answer:

3.1 * 10^10

Step-by-step explanation:

we know 1 billion is 1,000,000,000

In scientific notation

1,000,000,000=1 * 10^9

To find the value of 31 Billion

Multiply the value of one billion for 31

so

31 * 1 * 10^9  = 31 * 10^9

= 3.1 *  10^10

Once again, I need help

Answers

Answer:

40x-24y

Step-by-step explanation:

how u need help, just do

8 times 5x

then 8 times -3y

Answer:

the answer to 3 is the first one, 40x-24y

HURRY PLEASE WILL MARK BRAINLIEST PLEASE ANSWER 3 & 4!!!!!!

Answers

Answer:

Step-by-step explanation:

3. 6 in squared (a)

4. 25 cm squared (d)

ols mark brainliest if it helped!!!

Plz I need the answer

Answers

The answer is 5 inches

plssss help ASAPPP!!!!!!!

Answers

Answer:

12

Step-by-step explanation:

you have to times 2 x 6 to find your x

I'm not for sure tho but I hope it's right

Are these triangles similar, what is the length of BS

Answers

yes they’re similar, but since length is 18 for the large triangle and 6 for the smaller one you’d need to take 6 times 3 to equal 18 so i think you need to divide 12 by 3 to get the length of BS which would end up being 4 if i’m right

what’s the length of E to D
what’s the length of B to E

Answers

Given:

In triangle ACD, BE||CD, AB = 20 cm, BC = 5 cm, CD = 18 cm, AE = 26 cm.

To find:

(a) The length of ED.

(b) The length of BE.

Solution:

In triangle ABE and ACD,

BE||CD, so angle ABE and angles ACD are corresponding angles. So, their measure are equal.

[tex]m\angle ABE=m\angle ACD[/tex]          (Corresponding angles)

[tex]m\angle BAE=m\angle CAD[/tex]          (Common angle)

Now,

[tex]\Delta ABE\sim \Delta ACD[/tex]

Corresponding sides of similar triangles are proportional.

[tex]\dfrac{AB}{AC}=\dfrac{BE}{CD}=\dfrac{AE}{AD}[/tex]

(a)

[tex]\dfrac{AB}{AC}=\dfrac{AE}{AD}[/tex]

[tex]\dfrac{20}{20+5}=\dfrac{26}{AD}[/tex]

[tex]\dfrac{20}{25}=\dfrac{26}{AD}[/tex]

[tex]0.8=\dfrac{26}{AD}[/tex]

Isolate AD.

[tex]0.8AD=26[/tex]

[tex]AD=\dfrac{26}{0.8}[/tex]

[tex]AD=32.5[/tex]

Now,

[tex]AD=AE+ED[/tex]

[tex]32.5=26+ED[/tex]

[tex]32.5-26=ED[/tex]

[tex]6.5=ED[/tex]

Therefore, the length of ED is 6.5.

(b)

[tex]\dfrac{AB}{AC}=\dfrac{BE}{CD}[/tex]

[tex]\dfrac{20}{25}=\dfrac{BE}{18}[/tex]

[tex]0.8=\dfrac{BE}{18}[/tex]

Multiply both sides by 18.

[tex]14.4=BE[/tex]

Therefore, the length of BE is 14.4.

what is in math solve the following equation 35x-7y=49

Answers

Answer:

There is no solution for either variable without further information, as there are two variables given, but only one relationship between them.

You could however use them as a description of a line, which gives every possible solution.

35x - 7y = 49

7y = 35x - 49

y = 5x - 7

We now have an expression describing a line with a slope of five, which crosses the y axis at (0, -7) and the x axis at (1.4, 0)

Please solve for a and b

Answers

Answer:

a = 29.445 and b = 17

Step-by-step explanation:

Hope this helped! Please mark me as brainliest if you can!

The person above me has the right answer

tom rides the bus part of the way to school and then he walks the rest pf the way. he walks five minutes longer than he rides. the whole trip takes 27 minutes. for how many minutes does he walk

Answers

Answer:

16 minutes

Step-by-step explanation:

Tom walks for 5 minutes longer than he rides. To figure out the answer, start by subtracting 5:

27 - 5 = 22

Now that you have done this, divide 22 by 2:

22/2 = 11

Now you know that he rode the bus for 11 minutes, and you can add five to the other 11 minutes to know how long he walked:

11 + 5 = 16.

Answer:

Tom walked 16 minutes.

Step-by-step explanation:

If the walk is five minutes longer than the bus ride, we just need to subtract the five minutes, and divide the rest by two. (b) will be the time of the bus ride.

[tex]27=2b+5\\27-5=2b\\22=2b\\22/2=b\\11=b[/tex]

The bus ride would be 11 minutes long, we just add five minutes to that for the time of the walk. (w) will be how long the walk took.

[tex]11+5=w\\16=w[/tex]

..please help someone, im begging you. theres two screenshots i took bc its either a, b, c, or d

Answers

Answer:

It's C

Step-by-step explanation:

c!! have a good day and stay safe

The distance that an object covered in time was measured and recorded in the table below.True/False: The distance covered is directly proportional to the time.
True
False
ASAP

Answers

Answer:

true

Step-by-step explanation:

did the test

Answer: false

Step-by-step explanation:

When randomly choosing two bills from a cup of bills that contains a dollar bill a two dollar bill a $5 bill a $10 bill and $20 bill and a $50 bill what is the probability of choosing a $20 bill and a $10 bill?

Answers

Answer:

The answer is 1/36

Step-by-step explanation:

Step one:

Given data

sample space= $1, $2,$5,$10,$20,$50

sample size= 6

Required

The probability of choosing 20 and 10 dollar bill

Step two

The probability is

1/6*1/6= 1/36

What are the lengths of side AB and side BC?

Answers

Answer: AB=20, BC=14

Step-by-step explanation:

set AB together with the side congruent to it (which is DC)

3x-7=x+11

subtract x and add 7 to both sides

2x=18

divide both sides by 2

x=9

plug 9 in for AB.

3(9)-7

27-7=20.

now do the same for BC

Answer:

AB = 20

BC = 14

Step-by-step explanation:

ABCD is a parallelogram

Opposite sides of a parallelogram are equal.

Therefore,

AB = DC

3x - 7 = x + 11

3x - x = 11 + 7

2x = 18

x = 18/2

x = 9

AB = 3x - 7 =3*9 - 7 = 27 - 7 = 20

7y - 7 = 3y + 5

7y - 3y = 7 + 5

4y = 12

y = 12/4

y = 3

BC = 7y - 7 = 7*3 - 7= 21 - 7 = 14

help!!!
A family of 5 is going to evenly divide 6 funnel cakes at an amusement park. How many funnel cakes does each person get? Choose the correct answer from the choices below.

1 1⁄5 funnel cakes per person

4⁄5 funnel cakes per person

1 2⁄5 funnel cakes per person

1 3⁄5 funnel cakes per person

1 funnel cake per person

if u help thank you very much

Answers

Answer:

1 1/5 per person.

Step-by-step explanation:

You have to evenly divide the 6 funnel cakes among 5 people, so the equation you have to use is division.

  5/6

= 1 1/5

I have two questions. Both need written in standard form. Please show your work!!
1.) What is : y= 1/5x + 1/3 in standard form?
2.) What is : y= 2/7x - 1/3 in standard form?

Answers

Answer:

1) 3x - 15y = 5

2) 6x - 21y = 7

Step-by-step explanation:

standard form:  Ax + By = C

1) y = 1/5x + 1/3

multiply each side by 15 to eliminate fractions: 15y = 3x + 5

final form: 3x - 15y = -5

2) y = 2/7x - 1/3

multiply each side by 21 to eliminate fractions: 21y = 6x - 7

final form: 6x - 21y = 7

Is the following relation a function?
Y = 3x

Answers

Answer:

Yes

Step-by-step explanation:

If you subsitute for x, x will only repeat if it has the same y value.

Yes, The given relation is a function.

Here,

The relation is given as; Y = 3x

We have to find the given relation is a function or not.

What is Function?

A relation is said to be function if there is exactly one value for each value of y.

Now,

The given relation is,

Y = 3x

When, we put x = 1 then y = 3

And, when x = 2 then y = 6 and so on.

Clearly, there is exactly one value of x for value of y.

So, The given relation is a function.

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ2

On a number line point x is located at 2 / 3 on a second number line point y is the same distance from zero as point x what has a numerator of 8 what is the in denominator of y

Answers

Answer:

12

Step-by-step explanation:

Given that :

Point X on number line 1 from 0= 2/3

Point Y on number line 2 from 0 = same distance as point X on number line

Point Y has a denominator of 8 ; the numerator is thus;°

Let denominator = d ; Fraction becomes 8/d

Thus `

Point X on 1 = point Y

2/3 = 8/ d

2d = 3 * 8

2d = 24

d = 12

pls help me with this question i’ll be giving a brainliest to the person with the correct answer

Answers

Answer:

i believe it’s the second and third one, not too sure about the first

Step-by-step explanation:

Find the value of x. Round to
the nearest tenth.
10
X
500

Answers

Answer:

88.16

Step-by-step explanation:

You will have to use tan to solve it

The value of x round to the nearest tenth is,

⇒ x = 85

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

Base of height = 500

Angle = 10°

Now, We can formulate;

⇒ tan 10° = x / 500

⇒ 0.17 = x / 500

⇒ x = 85

Thus, The value of x round to the nearest tenth is,

⇒ x = 85

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ2

Which statements about the diagram are correct? Check all that apply.

BD = 9 in.
AB = 36 in.
DC = 6 StartRoot 3 EndRoot in.
AC = 12 StartRoot 3 EndRoot in.
BC = 18 StartRoot 3 EndRoot in.

Answers

Answer:

(C)DC = 6 StartRoot 3 EndRoot in.

(D)AC = 12 StartRoot 3 EndRoot in.

Step-by-step explanation:

wich fraction has the greatest value 5/8 1/6 -1/6 -5/8
pls help I'm on a timer​

Answers

The greatest value is 5:8
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