3x + 4y = 7, 8x + 5y = 12. The value of x and y is
13, 20
20, 13
13/17, 20/17
20/17, 13/17

Answers

Answer 1

Answer:

13/17, 20/17

Step-by-step explanation:

3x + 4y = 7 --- Equation 1

Equation 1×5:

15x + 20y = 35 --- Equation 2

------------------------------------------------------------------------------------------------------------

8x + 5y = 12 --- Equation 3

Equation 3×4:

32x + 20y = 48 --- Equation 4

------------------------------------------------------------------------------------------------------------

Equations 4-2:

32x + 20y - 15x - 20y = 48 - 35

17x = 13

x = [tex]\frac{13}{17}[/tex]

Substitute x = [tex]\frac{13}{17}[/tex] into Equation 1:

3x + 4y = 7

3([tex]\frac{13}{17}[/tex]) + 4y = 7

[tex]\frac{39}{17}[/tex] + 4y = 7

4y = 7 - [tex]\frac{39}{17}[/tex]

    = [tex]\frac{119}{17}[/tex] - [tex]\frac{39}{17}[/tex]

    = [tex]\frac{80}{17}[/tex]

y =  [tex]\frac{80}{17}[/tex] ÷ 4

y = [tex]\frac{20}{17}[/tex]

Thus, x = [tex]\frac{13}{17}[/tex], y = [tex]\frac{20}{17}[/tex].

( [tex]\frac{13}{17}[/tex], [tex]\frac{20}{17}[/tex])


Related Questions

Jane had 3/4 of a pound of blueberries. Jane let her friend Jack eat 1/2 of the blueberries. How many pounds of blueberries did Jack eat?

Answers

Answer:

Jack eat 3/8 pounds of the blueberries.

Step-by-step explanation:

Jane had 3/4 of a pound of blueberries.

Jack eat 1/2 of the blueberries.

How many pounds of blueberries did Jack eat?

= 1/2 of 3/4 pounds of blueberries

= 1/2 × 3/4

= (1*3) / (2*4)

= 3/8 pounds

Jack eat 3/8 pounds of the blueberries.

yo i need help whit how i got the answer plz help me ​

Answers

Answer:

The answer is B.

Step-by-step explanation:

Let us first set up an equation.

(3x - 7) + (2x + 3) = 90

5x - 4 = 90

5x = 94

x = 18.8

Hope this helps!

Please mark as brainliest.

Answer:

D  m<A = 49.4 deg

Step-by-step explanation:

Since the lines are perpendicular, the sum of the measures of angles A and B is 90 deg.

m<A + m<B = 90

3x - 7 + 2x + 3 = 90

5x - 4 = 90

5x = 94

x = 18.8

m<A = 3x - 7 = 3(18.8) - 7 = 56.4 - 7 = 49.4

Answer: D  m<A = 49.4 deg

PLEASE HELP 25 points

Answers

Answer:

d) m=1/2

Step-by-step explanation:

have you ever heard of the equation y=mx + b

the m is your slope

in your equation above the number with x is 1/2, so that is ur slope..

Hope this helps!! Pls mark me brainliest!!

18 Which expression uses the greatest common factor and distributive property to write 18 1 24 as a product? Circle the letter of the correct answer.

Answers

Answer:

[tex]18 + 24 = 6 * 7[/tex]

Step-by-step explanation:

Given

[tex]18 + 24[/tex]

Required

Write as a product

Start by expanding the expression with a common factor

[tex]6 * 3 + 6 * 4[/tex]

Factorize:

[tex]6 ( 3 + 4)[/tex]

Express 3 + 4 as 7

[tex]6 (7)[/tex]

Convert () to multiplication

[tex]6 * 7[/tex]

Hence:

[tex]18 + 24 = 6 * 7[/tex]

on the occasion of New year a super market announces a discount of 20
percent on every item. if they labeled price of an article is rs 840 how much should a customer pay for it ​

Answers

Step - 1: Calculate 20% of 840.

[tex]840 \times \frac {20}{100} = 168[/tex]

Step - 2: Subtract from 840.

[tex]840-168=672 [/tex]

A) Find the values of k for which the equation x 2 − 2(2k + 1)x + (k + 2) = 0 has 2 equal roots.

Answers

Answer:

1/4 and -1

Step-by-step explanation:

For a quadratic equation to have 2 equal root, the discriminant value must be equal to zero.

Discriminant D = b² - 4ac = 0

Given the equation

x^2 − 2(2k + 1)x + (k + 2) = 0

From the equation, a  = 1, b = -2(2k+1), c = k+2

a = 1, b = -4k - 2, c = k+2

Substitute into the discriminant formula;

Recall that: b² - 4ac = 0

(-4k - 2)²-4(1)(k+2) = 0

16k²+16k + 4 - 4k - 8  =0

16k²+12k - 4 = 0

16k²+16k - 4k - 4 = 0

16k(k+1)-4(k+1) = 0

16k - 4 = 0 and k+1 = 0

16k = 4 and k = -1

k = 4/16 and k = -1

k = 1/4 and -1

Hence the required value of k is 1/4 and  -1

CAN SOMEONE HELP ME PLSSSS !!!!!!

Answers

Answer:B

Step-by-step explanation:

Answer:

[tex]5 {g}^{2} - 11 {g}^{} + 8[/tex]

Step-by-step explanation:

[tex]this \: is \: your \: answer \: ie \: option \: b \\ hope \: it \: helps \\ need \: thanks \: and \: brainliest...[/tex]


If it takes 9 3/4 yards of material to make curtains for 3 windows, how much material is needed
for 11 windows?

Answers

Answer:

You would need 35.75 or 35 3/4 yards of material

Step-by-step explanation:

You must take 9 3/4 and divide it by three so we can figure out exactly how much material is needed for just one curtain. We figure the number 3.25 or 3 1 /4. There are 11 windows total windows, and 3 1/4 per window; therefore, you must multiply the two to get your final answer which would of course be 35 and 3/4 yards of material.

I hope this helped!

Have a great day/night and good luck with your school endeavors! you're doing great!!

Which are functions and which are not

Answers

Answer:

B, A, B

Step-by-step explanation:

the 1st A does not pass and the 1st B does(it passes the horizontal line test)

the 2nd A passed the 2nd B does not

the 3rd A passes (because one input corresponds to only one output) and the 3rd B does not pass

A 12,000 gallon pool is being filled at a rate of 40 gallons per minute. At this rate, how many minutes will take it to fill the entire pool

Answers

Answer:

30

Step-by-step explanation:

Translate the sentence into the equation and then solve the equation


Ten is the same as the quotient of n and five increased by six

Answers

10n= 5+6 honestly I just guessed I’m just a beginner

which mathematical property is shown here
6*1=6
1 identity property of muliplication
2 inverse property
3 distributive

Answers

Identity property of multiplication is shown

PLS HELP ASAP I DONT HAVE TIME IT ALSO DETECT IF ITS RIGHT OR WRONG!!

Answers

Answer:

6

Step-by-step explanation:

Hoped I helped! Im Eve btw. Have a great day and consider marking this brainiest if you do thank you in advanced!

Simplify the following.
-(3z)2
A. 6z
B. 9z2
C. -9z2
D. -6z2
E. 6z2

Answers

Answer:

-9x²

Step-by-Step explanation:

-(3x)²

In PEMDAS, we solve the exponent first then multiply.

-(3x)²

-(9x²)

-9x²

I need help I forgot how to this
AND THANK YOU

Answers

Answer:

x=-2

Step-by-step explanation:

same on both sides

Answer: x=-2
Look at where the curve splits in the middle, that is where the line of symmetry is.

The diagonals of square LMNP intersect at K. Given that LK = 1, find the measure of MP.

Answers

Answer:  MP = 2

========================================================

Work Shown:

LK = 1 is given

LK = KN since the diagonals of a parallelogram bisect one another. The same can be said about PK = KM.

Since all squares are a rectangle, this means LN = MP. Any rectangle has its diagonals be congruent.

So,

LN = LK+KN

LN = 1+1

LN = 2

MP = LN

MP = 2

6x - 7 = 11 show the step as well please

Answers

Answer:

x = 3

Step-by-step explanation:

6x - 7 = 11

First, add 7 to 11 which gets you 6x = 18

Then, divide 18 by 6 to solve for x which gets you 3

This means that x = 3

(hope this helps)

Answer:

Step-by-step explanation:

6x-7+11

(add 7 to both sides, canceling out the negative 7 on the left, and resulting in a sum of 18 on the right)

6x=18

(divide both sides by 6, which should isolate x because the sixes will cancel each other out, and give you a quotient of 3 on the right side)

x=3

Jimmy could type 80 words in a minute last week. After training, he can type 100 words now. What is the percentage increase of Jimmy's typing speed?

Answers

Answer:

25%

Step-by-step explanation:

100-80=20

80÷20=4

100÷4=25

25%

samantha works at a nursery, where she pots plants. it takes her 1 1/2 hours to pot 12 plants.
how many plants can samantha pot in 1 hour?
12 (operation i dont know) n = (the number of plants she can pot in 1 hour)

Answers

Answer:

She could plant 9 plants.

Step-by-step explanation:

1 1/2 hours = 90 minutes, so 12 plants per 90 minutes. Which would mean 6 plants per 45 minutes. So in between 45 and 90 minutes (1 hour), and in between 6 and 12 plants (9).

Sorry if you didn't understand, I'm bad at explaining.

Your running a fuel economy study. You find a blue car. It travels 44 1/2 miles on 1 1/4 gallons of gasoline another car is red it can travel 20 4/5 miles on 4/5 gallons of gasoline what is the unit rate for miles per gallon for each car? Which car could travel the greatest distance on one gallon of gasoline

Answers

Given:

Blue car travels [tex]44\dfrac{1}{2}[/tex] miles on [tex]1\dfrac{1}{4}[/tex] gallons of gasoline.

Red car travels [tex]20\dfrac{4}{5}[/tex] miles on [tex]\dfrac{4}{5}[/tex] gallons of gasoline.

To find:

The unit rate for miles per gallon for each car and find which car could travel the greatest distance on one gallon of gasoline.

Solution:

We know that,

[tex]\text{Unit rate}=\dfrac{\text{Total distance covered by the car}}{\text{Number of gallons of gasoline}}[/tex]

Using this formula, the unit rate of blue car is

[tex]\text{Unit rate of blue car}=\dfrac{44\dfrac{1}{2}}{1\dfrac{1}{4}}[/tex]

[tex]\text{Unit rate of blue car}=\dfrac{\dfrac{88+1}{2}}{\dfrac{4+1}{4}}[/tex]

[tex]\text{Unit rate of blue car}=\dfrac{89}{2}\times \dfrac{4}{5}[/tex]

[tex]\text{Unit rate of blue car}=\dfrac{178}{5}[/tex]

[tex]\text{Unit rate of blue car}=35.6[/tex]

Unit rate of red car is

[tex]\text{Unit rate of red car}=\dfrac{20\dfrac{4}{5}}{\dfrac{4}{5}}[/tex]

[tex]\text{Unit rate of red car}=\dfrac{\dfrac{100+4}{5}}{\dfrac{4}{5}}[/tex]

[tex]\text{Unit rate of red car}=\dfrac{104}{5}\times \dfrac{5}{4}[/tex]

[tex]\text{Unit rate of red car}=26[/tex]

Therefore, the unit rate of blue car is 35.6 miles per gallon of gasoline and  unit rate of red car is 26 miles per gallon of gasoline.

Since, unit rate of blue car is greater than the red car, therefore blue car travel the greatest distance on one gallon of gasoline.

round 0.0063 to 2 decimal places

Answers

Answer: 0.63
Step-by-step Explanation:
Estimation is usually a rounded-off figure where you can find a overall or a round figure of numbers such as decimals.

PLEASE ANSWER ANYONE! IM GIVING MOST OF MY POINTS AWAY!

if quinn put $450 in a savings account that earned 3.5 interest, how much money would quinn have after 2 years? ***(use the simple interest formula I = pet to solve this problem)***

Answers

Step-by-step explanation:

I think it is $4,821 because that is what I got as an answer. I hope this helped!

If we subtract half of a number from 20, we get 10, then the number equals; a) -20 b) 60 c) 20 d) -60

Answers

Answer:

Step-by-step explanation:

let the number be x

20-x/2=10

40-x=20

40-20=x

x=20

Write an equation in point-slope form of the line that passes through the two given points. Use the first point to write the equation.

(2,-2) and (5,9)

Answers

Answer:

3y = 11x-16

Step-by-step explanation:

The general equation of a line that passes through two points can be written as;

y = mx + b

where m is slope and b is the y-intercept

Mathematically in this case;

m = (9-(-2)/(5-2) = 11/3

To write the equation, we use the one-point form

y-y1 = m(x-x1)

(x1,y1) = (2,-2)

y + 2 = 11/3(x-2)

y = 11x/3-22/3+ 2

y = 11x/3 -16/3

so;

3y = 11x - 16

The price of headphones at Store A is $89.25z This is 3/4 the price of the headphones at Store B

Answers

Answer:

Price at store B = $66.94

Step-by-step explanation:

Given:

Price of headphones at Store A = $89.25

Find:

Price at store B

Computation:

Price at store B = 3/4[Price of headphones at Store A]

Price at store B = 3/4[89.25

Price at store B = $66.94

One pipe can empty a tank 2.5 times faster than another pipe. Starting with
a full tank, if both pipes are turned on, it takes 7.5 hours to empty the tank.
How long does it take the faster pipe working alone to empty a full tank?

Answers

Answer:

pipe will empty the tank in 10.5 hours, working alone.

Step-by-step explanation:

Let x be the rate of work of the slower pipe (measured in the tank volume per hour).

Then the rate of work of the faster pipe is 2.5x of the tank volume per hour.

The combined rate of the two pipes is then  x + 2.5x = 3.5x.

We are given

7.5*3.5*x = 1;  hence   x = 1%2F%287.5%2A3.5%29.

Then  2.5x = 2.5%2F%287.5%2A3.5%29 = 1%2F%283%2A3.5%29 = 1%2F10.5.

It means that the faster pipe will empty the tank in 10.5 hours, working alone.

The faster pipe will empty the tank in 10.5 hours, working alone.

What is Volume?

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

Let x be the rate of work of the slower pipe (measured in the tank volume per hour).

Then the rate of work of the faster pipe is 2.5x of the tank volume per hour.

The combined rate of the two pipes is then  x + 2.5x = 3.5x.

We are given

7.5×3.5×x = 1

7.5×3.5 x=1

Divide both sides by 7.5×3.5

x=1/ 7.5×3.5

2.5x=2.5/ 7.5×3.5

x=1/10.5

It means that the faster pipe will empty the tank in 10.5 hours, working alone.

Hence, the faster pipe will empty the tank in 10.5 hours, working alone.

To learn more on Volume click:

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How many girls if its 4/3 and 120 students

Answers

Answer:

well for me I think

Step-by-step explanation:

4/3×120

480/3

160

Blake is working two summer jobs, making $9 per hour washing cars and making $22 per hour tutoring. In a given week, he can work no more than 16 total hours and must earn no less than $220. If x represents the number of hours washing cars and y represents the number of hours tutoring, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer:

9x + 22y ≥ 220

x + y ≤ 16

Step-by-step explanation:

First x is number of hours washing cars and y is number of hours tutoring.

He makes $9 per hour on cars, $22 per hour tutoring. So we use variables as substitutes for actual values.

That is 9x + 22y. He can't make less than 220, so use the sign greater or equal to 220.

He also must work no more than 16 hours. Total hours is x+y, and no more than 16 means use the sign less than or equal to.

please give thanks by clicking the heart button :)

The number of hours washing cars and number of hours tutoring, if Blake is working two summer jobs, making $9 per hour washing cars, making $22 per hour tutoring, are 10.2 and 5.85 respectively. The graph is also attached below.

What is equation?

A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation. As in, 3x + 5 Equals 15, instances.

Given:

Blake is working two summer jobs, making $9 per hour washing cars, making $22 per hour tutoring,

Total working hour = 16

Total money to be earned = $220

Write the equation of the above statement as shown below,

x + y = 16

9x + 22y  = 220

Solve the above equation using a graph,

y = 5.85 and x = 16 - 5.85 = 10.2

To know more about equation:

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Pls HELP I will give 20 points and brainliest

Answers

Area -78 cm²

perimeter-58

green=53/78

blue=23/78

Have a nice Day , Hope this helped you I would appreciate it if you could mark my answer brainliest

The bird is made of 79 squares each square is 1u^2(u=unit, either cm or inch)

the area of the bird is 79u^2

the perimeter is 64u^2 you count all edges

51/79 squares are green, 51u^2

26/79 squares are blue, 26u^2

Factorize -6m plus 9

Answers

Answer:

[tex]3(-2m + 3)[/tex]

Step-by-step explanation:

Given

[tex]-6m + 9[/tex]

Required

Factorize

Expression: [tex]-6m + 9[/tex]

Start by expressing the expression as a sum of products.

[tex]-6m = 3 * -2m[/tex] and

[tex]9 = 3 * 3[/tex]

So;

[tex]3 * -2m + 3 * 3[/tex]

Notice that constant 3 is common in both terms.

This can then be factorizes as:

[tex]3(-2m + 3)[/tex]

Hence:

[tex]-6m + 9 = 3(-2m + 3)[/tex]

Answer:

3(-2m+3)

Step-by-step explanation:

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