Which statements are true about the ordered pair (10, 5) and the system of equations?

{ 2x−5y=−5
{ x+2y=11


Select each correct answer.


The ordered pair (10, 5) is a solution to the first equation because it makes the first equation true.

The ordered pair (10, 5) is a solution to the second equation because it makes the second equation true.

The ordered pair (10, 5) is not a solution to the system because it makes at least one of the equations false.

The ordered pair (10, 5) is a solution to the system because it makes both equations true.

Answers

Answer 1

Answer:

the solution to the system is (5,3)

Step-by-step explanation:

the first statement is True:    2(10) - 5(5) = -5

                                                20 - 25 = -5

                                                  -5 = -5

the second statement if False:    10 + 2(5) ≠ 11

the third statement is True

the last statement is False


Related Questions

I need help with number 21 please help!!!

Answers

Answer:

This is not a direct variation.

Step-by-step explanation:

Direct variation:

mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other.

(y varies directly with x with a constant variation of k)

[tex]y=kx;\ k\neq0[/tex]

[tex]y=kx\qquad|\text{divide both sides by}\ x\\\\\dfrac{y}{x}=k\Rightarrow \dfrac{y}{x}=constant[/tex]

[tex]21.\\\\x=y+2\qquad|\text{subtract 2 from both sides}\\\\x-2=y\qquad|\text{divide both sides by}\ x\\\\1-\dfrac{2}{x}=\dfrac{y}{x}\ro\dfrac{y}{x}=1-\dfrac{2}{x}\neq constant[/tex]

5 divide by 8 plus 9

Answers

Answer:

9.625

5 divided by 8= 0.625 + 9 = 9.625

Step-by-step explanation:

Answer:

9.625

Step-by-step explanation:

5/8=0.625, than add 9 to it, and have 9.625

:P HELLLP what is (13x20)5+6 = ___ - 1/3.

Answers

Answer: 1304.7

Step-by-step explanation: just took test

13x20. 5 + 6 = 11?
^. ^
260 11

How much is 2% of 3.50

Answers

Answer:

.07

Step-by-step explanation:

3.50 * 2% = .07

or

3.50 * .02 = .07

If a quadratic equation has no real solutions, is it still a function? I don't seem to know why

Answers

Answer:

That’s interesting I would figure isn’t a function because the point of a function is to find the solution but if there is no solu then it has lost its purpose.

Create an expression that would represent the area of a triangle.

Answers

Answer:

a = 1/2 (15 *5)

Step-by-step explanation:

a = 1/2 (b * h)

     1/2 (15 *5)

Answer:

1/2 (15x5)

Step-by-step explanation:

Area = 1/2bh

3x −4 = 11 what is the answer

Answers

Answer:

x=5

Step-by-step explanation:

Answer:

the answer is x=5                              

Evaluate the step function for the given input values.
-4, -35 x < -1
-1, -1sx<2
g(x) =
3, 25x< 4
5, x 24
9(2) =
g(-2) =
g(5) =

Answers

Answer:

I would, but the way this is set up is VERY confusing. sorry. maybe try to fix it after copying and pasting to make sure it makes sense.

The evaluated values of the step function for the given input values are as g(-2) = -4, g(2) = 3, and g(5) = 5.

To evaluate the step function g(x) for the given input values, we need to follow the conditions specified for each interval.

Given the step function:

g(x) =

-4, x < -1

-1, -1 ≤ x < 2

3, 2 ≤ x < 4

5, x ≥ 4

Let's evaluate the step function for each input:

g(-2):

Since -2 is less than -1, the condition for the first interval is satisfied. Therefore, g(-2) = -4.

g(2):

Since 2 is less than or equal to 4, the condition for the second interval is satisfied.  Therefore, g(2) = 3.

g(5):

Since 5 is greater than or equal to 4, the condition for the last interval is satisfied. Therefore, g(5) = 5.

Hence, we have:

g(-2) = -4

g(2) = 3

g(5) = 5

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amanda had to pay sales tax on a new iphone case she purchased last week. The iphone case was 35.00 and she pid 2.45 in taxes, what percent of the original price did she pay in taxes?

HELP

Answers

Answer:

7%

Step-by-step explanation:

[tex]\frac{2.45}{35} = \frac{x}{100}[/tex]

[tex]2.45*100[/tex] and [tex]35x[/tex]

[tex]\frac{245}{35} = \frac{35x}{35}[/tex]

[tex]245/35=7[/tex]

4a I do not understand the process

Answers

Answer:

9/40

Step-by-step explanation:

He needs 5/8, he already has 2/5, so still needed is 5/8-2/5.

To add or subtract fractions, the denominators must be equal.

Simplest approach is to multiply them. 8 times 5 is 40, so 40 is the new denominator we need for both fractions.

So first we convert 5/8 to 25/40.

Then we convert 2/5 to 16/40.

Now we can subtract them:

25/40 - 16/40 = 9/40.

9/40 cannot be simplified so this is the final answer.

There are some basic rules you need to know to work with fractions. If above work is too fast, comment below for deeper explanation.

The answer is 9/40.

All you need to do is subtract 5/8 - 2/5 and to do that, you would need a common denominator. So just,

5 2
— —
8 5

Multiply the two bottoms to get 40 and do the same thing with the top that you did with the bottom so....

5 x 5 = 25
— —
8 x 5 = 40

2 x 8 = 16
— —
5 x 8 = 40

Subtract 25 - 16 = 9 and keep the denominator the same so 9/40 is your answer.

29 of the first 42 presidents of the United States were lawyers. What percentage of these presidents were lawyers? (Give answer to nearest 1%) Show work

Answers

Answer:

62

Step-by-step explanation:

divide 29 by 42 and multiply the answer by 100

Answer: 69.05%

Step-by-step explanation:

21=50%

10.5=25%

Please help me solve these problems! I'll give you all my brain points. IM DESPERATE!!!
:-;

Answers

Answer: kg

Step-by-step explanation:

Find The Angle (See Image)

Answers

Answer:

do you how many there is 5 angles if thats what ur asking

Step-by-step explanation:

how do u do this im confused

Answers

Answer:

Line one answers: -x^2.  2x^2.  0.  5x^2

Line two answers: -x^2.  12x^2.   -2x^2.   8x^2

Line three answers: 4x^2.  8x^2.   -x^2.   x^2

Step-by-step explanation:

Answer:

-x^2.  2x^2.  0.  5x^2

-x^2.  12x^2.   -2x^2.   8x^2

4x^2.  8x^2.   -x^2.   x^2

Step-by-step explanation:

what is the greatest common factor between 20 and 25

Answers

Answer:

5

Step-by-step explanation:

The body mass of a bird?
A) categorical
B)Discrete
C)continuous

Answers

Answer:

Categorical

Step-by-step explanation:

Express 0.495 in standard form

Answers

Answer:

4.95 x 10^-1

Step-by-step explanation:

4.95 x 10^-1

4.95 x 10^-1 is your answer.

What is the area of a rectangle with a width of x2 + x + 1 and a length of
3x2 - 2x - 1?

Answers

Answer:

[tex]x^{4}[/tex] + 3x³ - 3x - 1

Step-by-step explanation:

The area (A) of a rectangle is calculated as

A = lw ( l is the length and w the width ) , thus

A = (3x² - 2x - 1)(x² + x + 1)

Each term in the second factor is multiplied by each term in the first factor, then

A = 3x²(x² + x + 1) - 2x(x² + x + 1) - 1(x² + x + 1) ← distribute parenthesis

   = 3[tex]x^{4}[/tex] + 3x³ + 3x² - 2[tex]x^{4}[/tex] - 2x² - 2x - x² - x - 1 ← collect like terms

   = [tex]x^{4}[/tex] + 3x³ - 3x - 1

If Tamair has $100 & gives $40 to her best friend Tsion, but Tsion gives $20 to Tamair, how much money does Tamair have left?

A) 90
B) 80
C) Tamair is broke
D) Tsion is broke

Answers

Answer:

B) 80

Step-by-step explanation:

Thats my bestie so dont mess with her or its gonna be a problem

if there are 250 fish in the lake and 50 more are added each year, write a linear equation

Answers

linear equation: y = 50x + 250

Jack’s car used 18 gallons of gasoline to go 468 miles. At that rate, how many gallons would be used to go 754 miles? Explain how you know.

Answers

It would take 29 gallons of gas because when you divide 468/18=26 and then you would divide 754/26=29.

Answer:

29 gallons.

Step-by-step explanation:

For every gallon, a total number of 468/18 miles = 26 miles could be travelled.

And hence, to travel 754 miles, a total of 754/26 gallons = 29 gallons would be needed.

Hope this helped!

Please help me with this

Answers

Answer:

A

Step-by-step explanation:

how do we find the value of y when x = 0​

Answers

Answer:

both variables are just 0-

A cone had a height of 16 inches and a radius of 14 inches . If pi is 3.14 what is the volume ?

Answers

Answer:

3284.01, brainliest if correct pls

Step-by-step explanation:

Answer:

3282 cubic inches.

Step-by-step explanation: Just times 14 times 14 since its in radius form then times by 16 then by 3.14 last divide by 3.

Expand the expression 2(y + 5x)

Answers

Answer:

2y+10x

Step-by-step explanation:

distribute the 2 into the rest of the equation

You have 33 math and science problems for homework. You have 7 more math problems than science problems. How many problems do you have in each subject?

For this question type the two equations that you are using and your solution to the system.

Answers

Answer:

x=33/7         m=7+x

Step-by-step explanation:

33 divided by 7 is 5 (when rounded) then you add 5 to 7 and get 12. Hope this helped yu!! Give brainliest.

Answer:

x=33/7         m=7+x

Step-by-step explanation:

so if you divide 33 by 7 you get 4.71428571429 which would be 5 when rounded and then you add 5 to 7 to get 12 I HOPE THIS HELLPEEDD

A rule for creating a pattern is given below. Rule: Multiply X by 3. Then subtract 1 from the result to get y.

Answers

Answer:

y=3x-1

Step-by-step explanation:

Thomas has finished 50% of an art project that has taken him a total of 9 hours so far. If he continues to work at the same rate, how many hours will it take for him to complete the entire project?

Answers

Answer:

18

Step-by-step explanation:

If he has worked for 9 hours and its 50% done he has to work for 9 more hours to get it finished so he would have worked on it for 18 hours to get it totally finished

Thomas will take a total time of 18 hours to complete the entire project.

What is Percentage?

Percentage of a number is the number of parts of that number in a total of 100. Percentage of a number is found by dividing the number with the whole and then multiply with 100.

Thomas has finished 50% of an art project that has taken him a total of 9 hours.

Let W be the work Thomas has to finish.

Quantity of work Thomas finished in 9 hours = 50% of W

                                                                           = (50/100) × W

                                                                           = 0.5W

Remaining work to complete = W - 0.5 W = 0.5W

Again he has to complete 0.5W of total work W which will take an additional 9 hours.

So the total time taken = 9 + 9 = 18 hours.

Hence the total time needed for Thomas to complete the work is 18 hours.

To learn more about Percentage, click:

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Y’all I need it by today please


Find the equation of the quadratic function y = ax^2+ bx + c which
passes through the points (-1, 9), (2, 3), and (5, 15).

Answers

Answer:

y=(x-1.5)^2+2.75

Step-by-step explanation:

Hope I could help!

Frank went to the store and bought water, juice, and soda for everybody. Write an expression to show the total amount of beverages he bought. (Use w for water, j for juice, and s for soda.)

please help! id give you master brainlist.

Answers

Answer:

w + j + s = total amount of beverages

Step-by-step explanation:

The first person is correct.

W+J+S= the amount of beverages he bought.

Water plus Juice and Soda. You have to add them all up to get the total he bought for everyone.

Hope this helps you.
:)
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