What is the x-value in the solution to this system of linear equations? 2x − y = 11 x + 3y = −5

Answers

Answer 1

Answer:

x = 4

Step-by-step explanation:

Given the 2 equations

2x - y = 11 → (1)

x + 3y = - 5 → (2)

Multiply (1) by 3 and add to (2) to eliminate the y- term

6x - 3y = 33 → (3)

Add (2) and (3) term by term to eliminate y, that is

7x = 28 ( divide both sides by 7 )

x = 4

Answer 2

Answer:

x-4

Step-by-step explanation:


Related Questions

At a concert 60% of the audience are adults . 25% of those remaining are boys and the rest of the audience members are girls .There are 30 girls altogether. How many a people are the at the concert?

Answers

Answer:

1800 people were at the concert.

Hello there! :D

Its math time!!

Alright, let's write out all the percentages.

60%= adults

25%= boys

There are thirty girls.

We can find out what percentage of the people there are girls by adding the percentages of the adults and boys and subtracting that from 100.

60+25= 85

100-85=15

So, 15% of the audience are girls. That is equal to 30 people.

I also know that 60 is divisible by 15 and 4. So, if we multiply 30 by 4 we can find out how many adults are at the concert.

30*4= 120 adults

We can also take 15 and divide it by 3 (as well as 30)  so we can find out how many people there are for 5% of the concert. That will make it easier to find out how many boys there are.

15/3= 5%

30/3=10

Now we just need to know how many fives go into 25, which is 5.

5*10= 50

Add that to the number of adults and girls:

50+120+30= 200 people

There are 200 people at the concert!

I hope this helped you and you have a wonderful day,

Kai xx

Point J is on line segment IK. Given IK = 15 and JK = 6, determine the
length IJ.

Answers

Answer:

[tex]\huge\boxed{IJ = 9}[/tex]

Step-by-step explanation:

Given that J is on line segment IK.

So, it is like:

I______?_______J___6___K

|<--------------------15---------------->|

We know that:

IK = IJ + JK

Where IK = 15 and JK = 6

15 = IJ + 6

Subtracting 6 to both sides

IJ = 15 - 6

IJ = 9

A catering business charges $50 to cater a meal for an event. The business also charges $12.50 per person for dinners that include chicken and $14.00 per person for dinners that include beef. Determine the charge for catering a dinner if 12 people request chicken and 8 request beef.

Answers

Answer: 312

Step-by-step explanation:

First you start with 50 dollar

then multiply 12.50 by 12

then multiply 14.00 by 8

last add everying thing up; 50+150+112

and you get 312 dollars

aka: $312.00

HELP NEEDED IMMEDIATELY

Answers

Answer:

Step-by-step explanation:

B:Convert the fractional part only then add it to the whole number.

C :  9 1/2,3π,92/5,91/10

B : √26,5.5,5.8,31/5

B: -7,20/3, 7.1 ,√51 , 6π

C: -π , -√5 , -3/2,-1.03

4) A scuba diver swam 112 feet beneath the surface of
the ocean. He then climbs up 63 feet. What is his depth
now?

Answers

Answer:

-49

Step-by-step explanation:

0-112+63=x

-112+63=x

-49=x

Answer:

-49 aka 49 feet below the surface/

Step-by-step explanation:

112-63=49 but make it negitave.

What is the square root of 4?

Answers

Answer:

The square root of 4 is 2

Step-by-step explanation: If you multiply 2*2 it will equal and divide 4/2 you will get 2 so it is 2

In what ways are driverless cars safer than human drivers?

Answers

Answer:

Driverless cars may be safer than cars with drivers because they do not get tired or distracted, and they do not engage in risky driving practices such as speeding and/or texting while driving, drinking and driving, etc..

Step-by-step explanation:

Edg. 2020

Answer:Driverless cars may be safer than cars with drivers because they do not get tired or distracted, and they do not engage in risky driving practices such as speeding and/or texting while driving, drinking and driving, etc..

Step-by-step explanation:

what are the advantage of buying a new vehicle

Answers

Answer:

I don't really understand what this means but the advantage of buying a new vehicle gives you a better car and if its better you can use less gas on it or maybe it goes faster and has more ways to drive it.

Step-by-step explanation:

In 1977 the average family earned £3300 a year and spent 18% of their earnings on a summer holiday. How much did the average family spend on their summer holiday?

Answers

Equation is;

[tex]3300.\frac{18}{100}[/tex]

33.18=594 paund :)

Please solve this question and show your work! Thank you!

Answers

Answer:

[tex]u<-1\text{ or } u>2[/tex]

Step-by-step explanation:

So we have the equation:

[tex]-3|2-4u|+5<-13[/tex]

First, subtract -5 from both sides:

[tex]-3|2-4u|<-18[/tex]

Divide both sides by -3. Since we are dividing by a negative, we will flip the sign:

[tex]|2-4u|>6[/tex]

Definition of absolute value:

[tex]2-4u>6\text{ or } 2-4u<-6[/tex]

Note that we flip the sign on the right because we multiplied 6 by a negative.

On both the left and right, subtract 2:

[tex]-4u>4\text{ or } -4u<-8[/tex]

Divide both equations by -4. Since we're dividing by a negative, flip the signs:

[tex]u<-1\text{ or } u>2[/tex]

So, our final solution is:

[tex]u<-1\text{ or } u>2[/tex]

And we're done!

(– 2y2 + 6y – 1) - (- 4y2 – 3y +9)

Answers

Answer:

Step-by-step explanation:

-2y^2 + 6y - 1 + 4y^2 + 3y - 9

2y^2 + 9y - 10

You cross multiply them. With cross multiplying your answer would be -6y^2+9y-10

2. Continuous data are usually _____________________, but discrete data are usually ______________________.

Answers

Answer:

Measured and Counted.

Step-by-step explanation:

Continuous data are usually “Measured”, but discrete data are usually “Counted”.

The continuous data are the data that can be measured, for example, Height of children, time in the race, length of leaf, etc. In this case, the data is taken within the range. While the discrete data is the data that can be counted. For example, the number of employees in the office, the number of students in the school, the result of rolling dice, etc. In this case, the data is a fixed number. Accordingly, the continuous data is measurable and discrete data is countable.

find the X in the following figure​

Answers

Answer:

x = 135°

Step-by-step explanation:

Sum of interior angles of a pentagon is 540°

x + 80 + 110 + 95 + 120 = 540

--> x = 540 - 80 - 110 - 95 - 120 = 135

PLEASE OPEN THIS, I NEED HELP!!!! WHAT BELONGS IN THE ? AND WHY?

Answers

Answer:  see below

Step-by-step explanation:

Write each equation in y = mx + b format where m is the slope and b is the y-intercept.

Left side: -4 ≤ x < -1

If you continue the line through the y-axis it will pass through (0, 4) --> b = 4

The rise over run is -1 over 1 --> m = -1

y = (-1)x + (4)   -->    y = -x + 4

Right side: -1 < x < 4

The line passes through (0,0) --> b = 0.

The rise over run is -1 over 1 --> m = -1

y = (-1)x + (0)    -->    y = -x

[tex]\large\boxed{f(x)=\bigg\{\begin{array}{ll} -x+4&;-4\leq x<-1\\ -x&;-1<x<4 \end{array}}[/tex]

how much dose the least expensive 50 present of trail mix cost? what is the least of 4 pounde of trail mix can cost

Answers

does* what is this question it’s 15$

The box-whisker plot is missing. Check the attachment for the data.

The least expensive 50% of trail mix costs between $1.25 and $2.75 per pound, as these, depict the minimum point and the median (50% of data), of the given box-whisker plot.

The least 4 pounds of trail mix can cost $6.00, at the minimum rate shown in the box-whisker plot by its starting point of $1.25 per pound.

What is a box-whisker plot?

A box-whisker plot is a diagrammatic representation of data. The whiskers start from the minimum data and go up to the maximum. In between the whiskers is a box that starts from the first quartile of the data (below which 25% of the data lies) and goes up to the third quartile (below which 75% of the data lies). In between the box is a line, that indicates the median of the data. The median is the value of the middlemost data.

How to solve the given question?

In the question, we are given a box-whisker plot, showing the different costs of trail mix at different prices per pound.

1. We are asked how much the least expensive 50% of trail mix costs.

We know that 50% of data is depicted at the median which is the line in between the box in a box-whisker plot. So the least expensive 50% is shown before the line.

The minimum point in the data is $1.25 and the median is $2.75.

Hence, the least expensive 50% of trail mix costs between $1.25 and $2.75 per pound, as these depict the minimum point and the median (50% of data), of the given box-whisker plot.

2. We are asked to find the least cost of 4 pounds of the trail mix.

We know that the starting point of the whisker shows the minimum point in the data. Hence, the least cost of the trail mix is $1.25 per pound.

So, the cost of 4 pounds is $1.25 * 4 = $6.00.

Hence, the least 4 pounds of trail mix can cost $6.00, at the minimum rate shown in the box-whisker plot by its starting point of $1.25 per pound.

Learn more about the box-whisker plots at

https://brainly.com/question/15841848

#SPJ2

what is the algebraic expression of three fourths the square of b

Answers

Answer: 3x-x+2=4

Step-by-step explanation:

if x = 54 and y = 126, calculate the value of x / √y in its simplest form

Answers

Answer:

18/root(14)

Step-by-step explanation:

x=54

y=126

x/root(y)

54/root(126)

54/root(3x3x14)

54/3(root(14))

18/root(14)

Lucas is having posters made for a school event. The setup fee for producing the posters is $18, and each poster he has made costs an additional $1.50. If the total cost of Lucas's posters is $42, how many posters did he have made?

Answers

he had 16 posters made.
18+1.50x=42
x=16
42- 18= 24
24/1.5=16.

He made 16 posters.

1. Runners in the Peachtree Road Race line up for 1 mile to start the race. If each person needs 2.5
square feet of space, approximately how many people are there if the road is 60 feet wide?

Answers

Answer:

SteYou choose!  Maybe you always wanted to do a marathon!  Now you can do it over the 15 days of the virtual race...at your own speed!

1M, 5K, 10K, half marathon or marathon options

The temperature was -1 °F, 5 °F, 8 °F, and 6 °F. What was the average temperature?

Answers

4.5 °F is the average temperature

Answer:

4.5

Explanation:

add up all the numbers and divide by the amount

Sasha's soccer team, the Strykers, tracked the number of goals they scored over the first 7 games of the season below. 3, 7, 3, 0, 5, 8, 2 What is the mean number of goals the Strykers scored each game?

Answers

Given :

The number of goals they scored over the first 7 games of the season are :

3, 7, 3, 0, 5, 8, 2 .

To Find :

The mean number of goals the Strikers scored each game .

Solution :

We know , mean of numbers is given by :

[tex]M=\dfrac{\text{Sum of all numbers}}{\text{Total numbers}}\\\\M = \dfrac{3+7+3+0+5+8+2}{7}\\\\M=\dfrac{28}{7}\\\\M=4[/tex]

Therefore , the mean number of goals the Strikers scored each game is 4 .

Hence , this is the required solution .

If the area of a triangle is 28in2 and the height is 8 inches, determine the length of the base.

Answers

area of triangle formula = ½ × B × H

28in2 = ½ × B × (8)

28in2 = 4 × B

28 ÷ 4 = B

Therefore, length of base = 7 inches

i hope my solution helps :))

If you go on a road trip of 270 miles in the mountains and 7/ 10 of the trip is downhill, how many miles of the trip are not downhill? Reduce to the lowest terms.

Answers

Answer:

81 miles

Step-by-step explanation:

From the question 7/10 of the trip has been said to be downhill. It therefore means that 3/10 is not downhill.

Miles = 270

Downhill = 7/10

Not downhill = 3/10

Now we have To calculate Miles that are not downhill (uphill)

But first I calculated for the number of downhill miles

270x7/10

Downhill = 189 miles

To get the number of not downhill miles

I subtracted 189 from the total number of miles on the question.

270 - 189

= 81 Miles.

Therefore 81 Miles of the trip are not downhill.

If you have anymore questions or need clarity please let me know on the comment section. Thank you and Good luck!

270 miles
7/10 downhill

270 x 3/10
810/10
81 miles
Or
270 x 7/10
1890/10
189 miles downhill

270 - 189 = 81 miles



Increasing a number by 14 yields the same result as taking one-half of 40.

Answers

Answer:

6

Step-by-step explanation:

6+14=20

40/2+20

Convert 15°C to °F (to the nearest tenth).

Answers

The answer is 60 Fahrenheit

15°c = 59°f

because :

(15 °C × 9/5) + 32 = 59 °F

===

so to the nearest tenth its doing 60°f

You have quarters and dimes that total $2.80. Your friend says it is possible that the number of quarters is 8 more than the number of dimes. Is your friend correct? Let d represent the number of dimes

An equation that models this situation is _____=2.80
(I’m so stupid help)

Answers

Answer:

Step-by-step explanation:

d = number of dimes

2.80 = 0.1d + 0.25 (d + 8 )

2.80 = 0.1d + 0.25d + 2            Combine like terms

2.80 = 0.35d + 2                       Subtract 2 from both sides

0.80 = 0.35d                             Divide both sides by 0.35

d ≈ 2.29

No, it's not possible to have more quarters than dimes when the total is $2.80 because it's not possible to have part of a dime.

The measure of an angle is 19º. What is the measure of its complementary angle?

Answers

Answer:

71º

Step-by-step explanation:

since it is a complementary angle equal 90 degrees total

so 90° - 19 = 71

True or false? (-x)^4 = -x^4 Explain your answer.

Answers

Answer:

true, theres nothing inside the parenthesis meaning that you remove it as a first step

Step-by-step explanation:

Ugh has to be true because because

Write an equation in slope-intercept form for the line with slope -8 and y -intercept 9.

Answers

Answer:  y = -8x + 9

Step-by-step explanation:

The slope intercept form formula says that y=mx +b  where m is the slope and b is the y-intercept so input  the value for m and b to write the equation.

Dao receives an employee discount on the purchase of a new automobile. The automobile that he is interested in has a sticker price of $18,560. If his discount is 18 percent, what is the price that Dao will pay?
$3,340.80
$3,712.00
$12,992.00
$15,219.20

Answers

Answer:

D. $15,219.20

Step-by-step explanation:

given:

The automobile that he is interested in has a sticker price of $18,560.

If his discount is 18 percent,

find:

what is the price that Dao will pay?

solution:

sale price =   $18,560 - (0.18 x  $18,560) =  $15,219.20

therefore,

Dao will pay $15,219.20

the answer is D.

im taking the test right now..

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