What is the solution to the system of linear equations?
2x + y = 7
x - 2y = 16
A)(4,-1)
B)(-1,9)
C)(6,-5)
D)(-5,6)

Answers

Answer 1

Answer:

(6, -5)  (Answer C)

Step-by-step explanation:

Multiply the first equation by 2.  We get the following equivalent system:

4x + 2y = 14

 x - 2y  = 16

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

  5x = 30, or x = 6.

Substituting 6 for x in the second equation, we get

6 - 2y = 16, or

  -  2y = 10, so that y = -5

and the solution is (6, -5)  (Answer C)


Related Questions

Abraham currently has a balance of $3,075.21 in an account he has held for 13 years. He
opened the account with an initial deposit of $2,152. What is the simple interest rate on the
account?
2.3%
7.7%
3.3%
11.0%

Answers

Answer: 3.3%

Step-by-step explanation:

Amount = prt / 100

3075.21 = (2152 x r x 13)/100

Answer:

the answer is letter c

Step-by-step explanation:

14 weeks is expressed as a percentage of 50 weeks is?

Answers

Answer:

28%

Step-by-step explanation:

Fraction= 14 out of 50 weeks

To find percentage multiply the fraction by 100

14/50 * 100

= 1400/50

= 28 percent

Answer:

28%

Step-by-step explanation:

50 ws ................ 100%

14 ws ......................x%

x = 14*100/50 = 14*2 = 28%

A restaurant has 75% of its tables being used. Which ratio compares the used tables with all the tables in the restaurant? A. 50:100 B. 25:75 C. 25:100 D. 15:20

Answers

Answer:

D

Step-by-step explanation:

It would 75:100

We then can simplify that by dividing by 5 so we get

15:20

Answer: 15:20

Step-by-step explanation:

75% tables are used out of 100%

The ratio will be 75:100 = 15:20

To write 11x^2+17x-10 in factored form, Diego first listed pairs of factors of -10.

(__+10)(__+-1)
(__+1)(__+-10) (fill in blanks)

(You dont need to explain just answer it)

Answers

(11x+10)(x+-1)
(X+1)(11x+-10)

I need a answer for this

Answers

Answer:

I think is A but I could be wrong.....But I don't think so because I did the math lol

Step-by-step explanation:

HELP WILL DO ANYTHING TO GET ANSWERS

Answers

Answer:

24. 40 minutes approximately

25. 8 days

Step-by-step explanation:

24. 40 minutes

Anna: 1 hour

Peter: 3 hours

Maria: 6 hours

A way to solve this kind of question is to think about how much they can perform given the same amount of time.

Anna: 1 hour x 6: 6 hours (In 6 hours Anna can clean 6 houses)

Peter: 3 hours x 2  6 hours (In 6 hours Peter can clean 2 houses)

Maria: 6 hours x 1: 6 hours (In 6 hours Peter can clean 1 house)

Working together they can clean the house 9 times faster.

It is 0.66 hours, or approximately 40 minutes

25. 8 days

It climbs 3 feet up but then it falls 2 feet down while sleeping during

the night. So the snail actually climbs 1 foot every day. It happens in the first 7 days. On the 8th day it goes out before sleep.  

A total of 70 tickets were sold for a concert and earn the organizers $804. If the cost of each ticket is either $10 or $12, how many tickets of each type were sold.
A. 18 tickets cost and 52 cost $12
B. 52 tickets cost $10 and 18 tickets cost $12
C. 65 tickets cost $12 and 5 tickets cost $10
D. 5 tickets cost $12 and 65 tickets cost $10

Answers

Answer: A = $804 18 tickets cost $10 and 52 cost $12

Step-by-step explanation:

A = $804 18 tickets cost $10 and 52 cost $12

B = $736

C = $830

D = $170

What is the leading coefficient and constant of this problem?

(8

Answers

2/7*3/8>3/8 because 2/7>1

Which type of graphs allows the reader to view the raw data values?
Select one or more:
A Box Plot
B Stem-and-leaf plot
C Dot plot
D Histogram

Answers

Answer:

The correct option is B

B) Stem and Leaf plot

Step-by-step explanation:

The purpose of stem and leaf plot is to show the data distribution while retaining its uniqueness. Stem and leaf plot shows the raw values by retaining the original data. It is usually recommended for batches between 15 and 150 data points.

In Stem and Leaf plot, the leaves are usually the last digit of a data, which stems are the remaining digits. For example if we have 2 number suppose 171 and 176, then in stem and leaf plot, as 17 is common, it can be the stem, while last digits of both numbers i.e 1 and 6 are leaves. It can be written as:

17 |  1   6

what property is 5(8+3)=5*8+5*3?

Answers

Answer:

distributive property

Step-by-step explanation:

5(8+3)=5*8+5*3

This is an example of the distributive property

The 5 is distributed to each of the terms inside the parentheses

The property of the stated equation is distributed property I am pretty sure.
That is because the 5 is being distributed between 8 and 3.

What is the value of x?
A-14
B-15
C-16
D-17

Answers

Answer:

A

Step-by-step explanation:

The answer is a because first you need to add up 110+110+70

You would get 290

Then subtract 360-290

You would get 70

Divide 70/5

You get 14, the answer.

Answer: A

Step-by-step explanation:

What is the area of a rectangle that has a length of 16.17 and a width of
8.75? DO NOT ROUND. *

Answers

Answer:

A =141.4875

Step-by-step explanation:

The area of a rectangle is given by

A = l*w

A = 16.17 * 8.75

A =141.4875

find the greatest common factor (3x^4y^2+12x^2y^3+6x^3y4)

Answers

Answer:

3x^2y^2

Step-by-step explanation:

the gcf is 3x^2y^2 since it is the common factor in all of the terms

I really need help on these 2 questions. Please!!!!

Answers

The first one isn’t similar, because there are two sides with 6, with different side lengths. The second one is, it uses SSS. They correspond in the same ratio, with 4 more on the sides on the second.

Write a linear equation in standard form for the line that goes through
(-14,-5) and (4,7)
A. Y-5. }(x-4)
O B. -2x+ 3y = 1
C. - 2x + 3y - 13
O D. 2x - 3y = 13

Answers

Answer:

[tex]3y - 2x = 13[/tex]

Step-by-step explanation:

Given

Points (-14,-5) and (4,7)

Required

Find its linear equation in a standard form

To find the linear form, we start by calculating the slope of the line

This is calculated as thus:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where [tex](x_1,y_1) = (-14,-5)\ and\ (x_2,y_2) = (4,7)[/tex]

So, [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes

[tex]m = \frac{7 - (-5)}{4 - (-14)}[/tex]

[tex]m = \frac{7 + 5}{4 + 14}[/tex]

[tex]m = \frac{12}{18}[/tex]

Simplify fraction to lowest term

[tex]m = \frac{6*2}{6*3}[/tex]

[tex]m = \frac{2}{3}[/tex]

The equation of the line can then be calculated using any of the given points;

Using

[tex]m = \frac{y - y_1}{x - x_1}[/tex]

[tex]Where\ (x_1,y_1) = (-14,-5)\ and\ m = \frac{2}{3}[/tex]

We have

[tex]\frac{2}{3} = \frac{y-(-5)}{x-(-14)}[/tex]

[tex]\frac{2}{3} = \frac{y+5}{x+14}[/tex]

Multiply both sides by 3

[tex]3 * \frac{2}{3} = \frac{y+5}{x+14} * 3[/tex]

[tex]2 = \frac{y+5}{x+14} * 3[/tex]

[tex]2 = \frac{3(y+5)}{x+14}[/tex]

Multiply both sides by x + 14

[tex]2 * (x + 14) = \frac{3(y+5)}{x+14} * (x + 14)[/tex]

[tex]2 * (x + 14) = 3(y+5)[/tex]

Open brackets

[tex]2 * x + 2 * 14 = 3* y+ 3 * 5[/tex]

[tex]2x + 28 = 3y+ 15[/tex]

Subtract 2x from both sides

[tex]2x - 2x + 28 = 3y+ 15 - 2x[/tex]

[tex]28 = 3y+ 15 - 2x[/tex]

Subtract 15 from both sides

[tex]28 - 15 = 3y+ 15 - 2x - 15[/tex]

[tex]28 - 15 = 3y - 2x + 15- 15[/tex]

[tex]13 = 3y - 2x[/tex]

Reorder

[tex]3y - 2x = 13[/tex]

Hence, the equation of the line in standard form is [tex]3y - 2x = 13[/tex]

Tori's mathematics test had 75 problems: 10 arithmetic, 30 algebra, and 35 geometry problems. Although she answered 70% of the arithmetic, 40% of the algebra, and 60% of the geometry problems correctly, she did not pass the test because she got less than 60% of the problems right. How many more questions would she have needed to answer correctly to earn a 60% passing grade?

Answers

Answer:

She would need 5 more correct answers.

Step-by-step explanation:

This is from the AMC 8 1999 (the question). You can just search up the solution but okay.

70% of 10 is 7 so she got 7 arithmetic questions.

40% of 30 is 12 so she got 12 algebra questions.

60% of 35 is 21 so she got 21 geometry questions.

She got [tex]\frac{7+12+21}{10+30+35} =\frac{40}{75} =\frac{8}{15}[/tex] questions correct.

60% of 75 is 45 questions correct.

She got 40 questions correct.

She needed 5 more correct answers to get 60%.

Answer:

Step-by-step explanation:

problems solved in arithmetic=10×70 %=7

problems solved in algebra=30×40 %=12

problems solved in geometry=35×60 %=21

total problems solved=7+12+21=40

problems required for passing=75×60 %=45

so more questions required for passing=45-40=5

Can anyone help me out please

Answers

Answer:

5/23

Step-by-step explanation:

if you turn "3 8/5" into a mixed number you would get 23/5 then you would flip the numbers to get 5/23

Hope this helps!!! :)

NEED HELP :(
Use the commutative or associative property to simplify the expression.
1/4(4y)

Answers

Answer:

y

Step-by-step explanation:

Associative Property a(bc)=(ab)c

1/4(4y)=(1/4(4))y

y

How much is a penny and a quarter

Answers

Answer:

check google

Step-by-step explanation:

Answer: 26¢

Step-by-step explanation: A penny equals 1¢ and a quarter is 25¢ so together that would make 26¢

May invested $500 at 8% p.a. for 2 years. How much simple interest did she earn?

Answers

Answer:

The simple interest she earns is $80

p=500

r=8

t=2

Now,

SI=p×t×r/100

SI=500×2×8/100

SI=80

Answer:

[tex]\fbox{\begin{minipage}{5.5em}80 dollars\end{minipage}}[/tex]

Step-by-step explanation:

Given:

May invested $500 at 8% p.a. for 2 years.

Solve for:

The simple interest she earned.

Step 1: Define the formula to calculated the simple interest

Interest = Principal x Rate x Year

Step 2: Perform the calculation

With Principal = 500$, Rate = 8% = 8/100 = 0.08, and Year = 2

Interest = 500 x 0.08 x 2 = 80$

Hope this helps!

:)

The ratio of the lengths of corresponding parts in two similar solids is 4:1.
What is the ratio of their surface areas?
A. 16:1
B. 8:1
C. 4:1
D 641

Answers

Answer:

the ratio is 16:1

Step-by-step explanation:

surface area is measured in square units, so you should square both numbers in the linear ratio to get the ratio for the surface area.

[tex]4^{2} : 1^{2} -->16:1[/tex]

Answer:

A.16:1

Step-by-step explanation:

x+y= 2
y=-12? + 3
\right.V)
1. In two or more complete sentences, explain how to solve the system of equations algebraically.
2. Solve the system of equations. In your final answer, include all of your work.

Answers

Answer:

11

Step-by-step explanation:

11

11 is the answer to the question

how many different measurements are found in this diagram ¿

Answers

There are 8 different measurements.
Just to make sure of things there are 8 labeled angles but there are different ones for example 7 and 3 are equal.

Which means that there are 2 different angle measurements 1,4,7 and 8 are equal then 2,3,5 and 6 are also equal


pls help this is due in 20 min pls help.​

Answers

Answer:

32 2/5

Step-by-step explanation:

Twice of the width is 10 4/5

So 10 4/5 plus 5 2/5 is 16 1/5

Then you add it to 16 1/5 because it is the perimeter and it has the same sides

Answer:

4.   [tex]32 \frac{2}{5}[/tex]

Step-by-step explanation:

so the formula for perimeter is l + l + w + w

the width is 5 2/5 and the length is 5 2/5 * 2

that means the length is 10 4/5

so back to the formula [tex]5 \frac{2}{5} + 5 \frac{2}{5} +10 \frac{4}{5} +10 \frac{4}{5}[/tex]

simplified is  10 4/5 + 20 8/5

simplified is 30 12/5

simplified is [tex]32 \frac{2}{5}[/tex]

Please help me, extra points !!

Answers

Hey ! I know this says extra points but what do you need help on

If 5 deli sandwiches cost $29.75, how much will 8 sandwiches cost?

Question 10 options:

a)

$37.75


b)

$29.75


c)

$0.16


d)

$47.60

Answers

Answer:
d) $47.60

Explanation:
Step 1 - Find out the cost per sandwich by dividing the cost of five sandwiches by five.

29.75 / 5 = 5.95

Each sandwich costs $5.95.

Step 2 - Find out how much eight sandwiches will cost by multiplying the cost of one sandwich by eight.

5.95 • 8 = 47.60

Eight sandwiches will cost $47.60.

can u pls help me with this thanks

Answers

Hey!!!

<a and <b are complementary angles.

Those angles which are exactly 90 degree are called complementary angles.

hope it helps..

Which of the following relations represents a function?
O A. {(1, 1), (1, 2), (1,3)}
O B. {(1, 1), (2, 1), (3, 1)}
O C. {(1, 1), (2, 2), (3, 3)}
O D. Both B and C.

Answers

OPTION NUMBER D IS CORRECT

D.Both B and C.

Step-by-step explanation:

function is the relation from set A to B such that every element of set A(domain) should have only 1 image in Set B(co domain).

Can someone help me with this please!!!

Answers

Answer:

first itself we should do the answer                         and only we can answer it

Step-by-step explanation:

Nate asked some of his friends how many people live in their homes. The answers were: 4,3,3,6, 10, 7, 4, and 3.
What is the range of the data?

Answers

Answer:

7

Step-by-step explanation:

10-3=7

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