- 8th Grade Math -
Solve the system of equations:
2x - 4y = 10, x = 2y + 5

Answers

Answer 1

Answer:

All real numbers

Step-by-step explanation:

Since x=2y+5, and 2x-4y=10, substitute 2y+5 for x into 2x-4y=10

2(2y+5)-4y=10

Use distributive prop.

4y+10-4y=10

10=10

Since both sides of the equation are always equivalent,

All real numbers work, since the two equations are the same line.


Related Questions


Quadrant 1, Quadrant 2, Quadrant 3 or Quadrant 4?

Answers

Answer:

  4

Step-by-step explanation:

The positive x-axis separates quadrant I from quadrant IV.

Reflecting the figure over the x-axis will put its image in quadrant 4.

the length of rectangular park are 20 m and breadth is 13 m. aman jogs and complte 4 rouns of the park everyday.how much distance does aman jog daily

Answers

Answer:

Step-by-step explanation:

Length=20m

Breadth=13m

The area of rectangle=l×b

                                      =20×13

                                      =260m

Now,

The distance aman jog daily is =4×260

                                                    =1040m

At a farmer’s market, Khalid bought 4 pounds of tomatoes and 7 pounds of broccoli for $28. Genevieve bought 5 pounds of tomatoes and 2 pounds of broccoli for $28. 50. Let t represent the cost of one pound of tomatoes. Let b represent the cost of one pound of broccoli. Which system of equations will solve for t and b? 4 t 7 b = 28. 50. 5 t 2 b = 28. 0. 5 t 7 b = 28. 50. 4 t 2 b = 28. 0. 4 t 7 b = 28. 0. 5 t 2 b = 28. 50. 5 t 4 b = 28. 50. 7 t 2 b = 28. 0.

Answers

The system of equations that can represent the system is 4t+7b=28 and 5t+2b=28.50.

Given to us

Khalid bought 4 pounds of tomatoes and 7 pounds of broccoli for $28.

Genevieve bought 5 pounds of tomatoes and 2 pounds of broccoli for $28. 50.

Let t represent the cost of one pound of tomatoes.

Let b represent the cost of one pound of broccoli.

What is the expression that expresses the total cost of Kalid's purchase?

We know that the cost of a pound of tomatoes is t while for one pound of broccoli it is b. therefore,

4 pounds of tomatoes + 7 pounds of broccoli = $28

4(t) + 7(b) = 28

4t + 7b = 28

What is the expression that expresses the total cost of Genevieve's purchase?

We know that the cost of a pound of tomatoes is t while for one pound of broccoli it is b. therefore,

5 pounds of tomatoes + 2 pounds of broccoli = $28.50

5(t) + 2(b) = 28.50

5t + 2b = 28.50

Hence, the system of equations that can represent the system is 4t+7b=28 and 5t+2b=28.50.

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[( 5 + 11) / 4] + 9 x (6-4)

Answers

Answer:

22

Step-by-step explanation:

[( 5 + 11) / 4] + 9 x (6-4)

[16/4]+9x2

4+18

22

Mason compares two plans for an online book club. Which equation can be used to solve for the number of books, b, for which the cost of Plan A equals Plan B?.

Answers

Answer:

12b=3b+75

Step-by-step explanation:

Answer:

12b=3b+75

Step by step equation

6 = 2p + 8 pls help i will give brainlist

Answers

Answer:

[tex]6 = 2p + 8 \\ \\ 2p + 8 = 6 \\ \\ 2p = 6 - 8 \\ \\ 2p = - 2 \\ \\ p = - \frac{2}{2} \\ \\ p = - 1[/tex]

Work out the size of angles a and b. Angle a = Not to scale o o 350 b Angle b=​

Answers

Angel b = 64 Angle A 35

Evaluate the expression 1/4 x (3/9 + 5)
Choices:1 1/3,1 2/3,5,answer not here.

Answers

Answer:

First option

Step-by-step explanation:

Given the following equation:

[tex]\frac{1}{4} \times(\frac{3}{9} +5)[/tex]

In order to find the answer, we solve the equation in between the parenthesis according to order of operations and then multiply that answer by 1/4.


[tex]\frac{1}{4} \times(\frac{3}{9} +5)[/tex]
[tex]5=\frac{5}{1}[/tex]
[tex]\frac{3}{9} +\frac{5}{1}[/tex]
[tex]3\times1=3[/tex]
[tex]9\times1=9[/tex]
[tex]5\times9=45[/tex]
[tex]1\times9=9[/tex]
[tex]\frac{3}{9} +\frac{45}{9}[/tex]
[tex]3+45=48=\frac{48}{9}[/tex]
[tex]\frac{48}{9} \div3=\frac{16}{3}[/tex]

[tex]\frac{1}{4} \times\frac{16}{3}[/tex]
[tex]1\times16=16[/tex]
[tex]4\times3=12[/tex]
[tex]\frac{16}{12} \div2=\frac{8}{6} \div2=\frac{4}{3}[/tex]
[tex]\frac{4}{3} =4\div3=1\frac{1}{3}[/tex]
[tex]=1\frac{1}{3}[/tex]

Hope this helps.

George and Chin work as landscapers. George charges $90 for a 6-hour job. Chin charges $84 for the same job. The table shows their price structures. An equation representing George’s charges is written in the chart. Landscaping Cost George Chin George charges one hourly rate for the first three hours and then reduces his rate for additional hours. Chin charges the same initial rate as George for the first two hours and the same reduced rate for additional hours. 3 x 3 y = 90 What is the equation for Chin’s charges needed to solve the system and find the cost of the initial and additional hours? 4 x minus 2 y = 84 2 x minus 4 y = 90 2 x 4 y = 84 4 x 2 y = 90.

Answers

Answer:

2x + 4y = 84

Step-by-step explanation:

Did the test

mani sold his laptop at 3/5th of the price at which he bought it. What is the percentage loss that mani made?

Answers

Answer:

40%

Step-by-step explanation:

3/5th of the price
if price = 100
then 3/5 is like 60/100
(multiplying by 20)
so 60/100 is 60%
mani sold his laptop for $60 that if his laptop was $100
he lost $40
which is the same value for 40/100

Please help I need it please please please

Answers

Answer:

it is number 4 why because

ANSWER:

$0.63/oz

STEPS:

Okay- so, I divided 3.78 by 6 and got the answer 0.63

Your welcome! ;)


For every 10 apples gathered from trees in an orchard, there are 9 apples that are good to sell. Which equation determines the constant
relationship between g, the number of apples gathered, and s, the number of apples good to sell?


A: s=0.9g
B: s=1.1g
C: g= s - 1
D: g= s + 1


Please answer quick

Answers

Answer:

A

Step-by-step explanation:

Answer:

A, 0.9  is 9/10

Solve for x
2(4x+3)=10x-2

Answers

Step-by-step answer:

[tex]2(4x+3)=10x-2[/tex]

[tex]8x+6=10x-2[/tex]

[tex]2x=8[/tex]

[tex]x=4[/tex]

Hope this help.

Answer:

x=4 cause you multiply 2 to 4 and to 3 and the subtract 8 from 10 and then divide the answer

7x+1=10x-9 what does x equal

Answers

Answer:

x = 10/3

Step-by-step explanation:

Solve:

7x + 1 = 10x - 9       1 = 3x - 9                  Isolate x10 = 3x                     Isolate xx = 10/3                    

x = [tex]\boxed{\frac{10}{3}}[/tex]

-Chetan K

Step-by-step explanation:

Given equation is 7x + 1 = 10x - 9

Shift all variables on LHS and Constants on RHS, changing it's sign.

→ 7x + 10x = -9 - 1

Subtract the values on LHS and RHS.

→ -3x = -10

Shift the number -3 from LHS to RHS.

→ x = -10/-3

Therefore, x = 10/3

Answer: Hence, the value of x for the given equation is 10/3.

Verification:

Check whether the value of x is true or false:

If x = 10/3 then the equation is

7x + 1 = 10x - 9

Substitute x = 10/3 in equation then

→ 7(10/3) + 1 = 10(10/3) - 9

→ (70/3) + 1 = (100/3) - 9

→ (70/3) + (1/1) = (100/3) - (9/1)

Take the LCM of the denominator on both LHS and RHS.

LCM of 1 and 3 is 3.

LCM of 1 and 3 is 3.

Now,

→(70 + 1*3)/3 = (100 - 9*3)/3

→ (70 + 3)/3 = (100 - 27)/3

→ 73/3 = 73/3

LHS = RHS

Hence, verified.

Please let me know if you have any other questions.

name the square root of 18ab and of 3bc​

Answers

Answer:

6 to the power 1/2 to the power 1/2 whereas3bc= 3 to the power 1/2 b to the power 1/2 c to the power 1/2

10. Classify the triangle by its sides and angles. (1 point)
K
45"
50"
85"
M
H
Please

Answers

Answer:

scalene acute

Step-by-step explanation:

Hi there!

None of the triangle's sides are the same length, making it a scalene triangle. All of the angles are acute as well, so therefore, it is a scalene acute.

I hope this helps!

Complete the table with values for x or y that make this equation true: 3x + y = 15.

Answers

Answer:

Step-by-step explanation:

1.
An aspirin tablet contains 325 mg of active ingredient. How much is this in cg?
no
325 mg

Answers

The answer would be, 325mg is 32.5 cg

Heeeeelppp please for tomorrow

Answers

Answer:

x=17

Step-by-step explanation:

The total degree of a hexagon is 720 degrees.

720-110-116=494.

(8x-1)+(6x-2)+(7x+19)+(5x+36)=494

x=17.

Answer:

3.15

Step-by-step explanation:

in a polygon sum of all angles = 360°

116+110+8x-1+5x+36+7x+19+6x-2 = 360

226-1+36+19-2+26x = 360

26x = 82

x=3.15

HELP, THIS IS DUE SOON!!

−8(y + 2) − 16 = 16

Please provide step by step explanation along with the answer!

Answers

Answer:

-6

Step-by-step explanation:

-8(y+2)-16=16

-8(y+2)=16+16

-8(y+2)=32

y+2=32/-8

y+2=-4

y=-4-2

y=-6

[tex] - 8x(y + 2) - 16 = 16 \\ \\ - 8y - 16 - 16 = 16 \\ \\ - 8y - 32 = 16 \\ \\ - 8y = 16 + 32 \\ \\ - 8y = 48 \\ \\ y = - \frac{48}{8} \\ \\ y = - 6[/tex]

# keep learning#

# Bora 7 #

Help please!!!!!!!!!!!!!

Answers

Answer= 13 _10= [23]_5
Please rewrite the same equation just put the 23 in the box

LaTasha was presented with the following data set and argued that there was no correlation between x and y. Is LaTasha correct? Use the regression equation to explain your reasoning. A 2-row table with 7 columns. The first row is labeled x with entries 1, 2, 3, 4, 5, 6, 7. The second row is labeled y with entries 4, 5, 4, 5, 4, 5, 4.

Answers

LaTasha is correct. There is no correlation between x and y. The slope of the line of best fit is zero, which shows that there is no negative or positive correlation.

Step-by-step explanation:

Considering the data  The first row is labeled x with entries 1, 2, 3, 4, 5, 6, 7. The second row is labeled y with entries 4, 5, 4, 5, 4, 5, 4. LaTasha is accurate. There is no link between the variables x and y.

What is regression equation?

Generally, a regression equation is simply defined as an equation used to determine whether or not there is a link between two sets of data.The formula is;

[tex]Y=f(X, \beta)+e[/tex]

In conclusion, Slope of the line is equated to zero, suggesting no -ve or +ve association.

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what is 9/20 as a percentage lol hate maths watch

Answers

9 / 20 = 45 / 100 = 45%

please give brainliest

Answer: 45%

Step-by-step explanation: 9/20 as a percent is expressed as 45%

Melissa has bought a $2 lottery ticket every week for the past 20 years. This week, she won for the first time $2,000, before 30% taxes that are taken out. Compare these winnings to her total investment, and explain if it was a worthwhile investment for her?

Answers

No it is no not worth it because you literally invested $2,080 to only receive $1,400 in winnings. THAT IS A NET LOSS!!
—————————————————————-
How many weeks in a year = 52
How much spend in 1 year = 52($2) = $104
How much in 20 years = $104(20) = $2080
—————————————————————-
Wins = $2000 <— Before TAXES
After Taxes:
X/2000 = 30/100
100x = 60,000
x = 600
So 2000 - 600 = $1400 <— AFTER TAXES

Jane wrote the numbers 1-100 and placed them in a bag. If she selects a number without looking, what is the probability that the number is less than 5? Input your answer as a decimal or fraction.

Answers

Since she wrote the numbers 1-100, we know that the probability for one number is 1/100.

If she selects a number without looking, it's a 1/100 chance she'll pull out one specific number.

However, here we need to find the probability of a number below 5. There are four numbers below 5 from the range to 1-100 and they are 1, 2, 3, and 4.

Therefore, since there are 4 numbers below 5, we have a 4/100 chance of Jane pulling out a number below 5.

In simplified terms it would be [tex]\frac{1}{25}[/tex]

In decimal form, it would be 0.04

Which property is shown in the problem below? mc003-1. Jpg the associative property the commutative property the distributive property the division property.

Answers

The distributive property is used to solve the given problem,

Given

Equation; [tex]\rm -8(x-3y-9) = -8x+24y+72[/tex]

What is distributive property?

The distributive property says that the sum of two or more addends multiplied by a number gives you the same answer as distributing the multiplier, multiplying each addend separately, and adding the products together.

Therefore,

By applying distributive property in the equation;

[tex]\rm -8(x-3y-9) \\\\ =- 8 \times x+(-8)\times (-3y)-8\times (-9)\\\\= -8x+24y+72[/tex]

Hence, the distributive property is used to solve the given problem,

To know more about Distributive property click the link given below.

https://brainly.com/question/13130806

Answer:

c) ✨the distributive property ✨

Step-by-step explanation:

2(d+f)+h
How do you answer this

Answers

2d+2f+h i see someone already answered tho lol

A plane is flying 3900 m above the ground level. The angle of elevation from the control tower to the plane is
11.4'. What is the horizontal distance from the plane to the control tower? Round your answer to the
nearest tenth. Show all work.

Answers

The horizontal distance to the control tower is approximately 18506.83m

Data;

distance from the ground = 3900mangle of elevation = 11.4 degreeshorizontal distance = ?

Trigonometric Ratio

To solve this problem, we need to use trigonometric ratio SOHCAHTOA.

In this case, we have the value of opposite and angle and we need to find the adjacent to the angle. The tangent of the angle would be perfect for this.

[tex]tan\theta = \frac{opposite}{adjacent} \\tan11.4 = \frac{3900}{x}\\x = \frac{3900}{tan11.4}\\ x = 18506.83m[/tex]

The horizontal distance to the control tower is approximately 18506.83m

Learn more on trigonometric ratio here;

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In the table, each value of y varies directly with the corresponding value of x. Which equation represents the values in the table?

Answers

Your equation should be
y=2.2x

Solve for x
4(3+x)+x=x+4
TYYY

Answers

Answer:

[tex]4(3 + x) + x = x + 4[/tex]

[tex]12 + 4x + x = x + 4[/tex]

[tex]12 + 5x = x + 4[/tex]

[tex]5x - x = 4 - 12[/tex]

[tex]4x = - 8[/tex]

[tex] \large \: x = \frac{ - 8}{4} [/tex]

[tex]x = - 2[/tex]

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