What is the solution to the following system?
x+2y+z=9
x-y+3z=13
2z=10

Answers

Answer 1

Answer:

x=0 y=2 z=5

Step-by-step explanation:

so for z

2z=10

divid both side by 2

z=5

equation one

x+2y+5=9

x+2y=4 ------eqn1

equation two

x-y+ 3(5)=13

x-y+15=13

x-y=-2-----eqn2

now you solve it by elimination

eqn1-eqn2

3y=6

y=2

put y=2 into eqn2

x-2=-2

x=0


Related Questions

Need help plz and thank u

Answers

30 students is the answer :)
30 students................

An expression equivalent to -4(2k-6)

Answers

Answer:

-8k + 24

Step-by-step explanation:

Is your expression.

What is the distance between point (5, 9) and its reflection across the x-axis?

Answers

Answer:

10 units

Step-by-step explanation:

What is the area of the shaded region in the figure?

Answers

Answer:

look at the picture i sent please

What is the volume of the rectangular prism?

Answers

V=lwh
V=1.5(3.5)(1)
V=5.25 in cubed

hope this helps!!

A bag contains 6 red marbles, 4 black marbles, and blue 5 blue marbles. A marble is picked without looking into the bag. Determin the probobility of picking out a blue marble

Answers

Answer:

5/15

(1/3 if u want it simplified)

(about 33.3 % if you want percentage)

Step-by-step explanation:

6 + 4 + 5 = 15 total marbles

There are 5 blue marbles.

Plzz help me I am timed plzz!

Answers

It’s b)2. Because if you simplify you divide by 3 ( because 6 is divisible by 3) and get 2/1 so your answer is 2

Answer:

B) 2

Step-by-step explanation:

6/3 = 2

3/3 = 1

6÷3 = 2

Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

Tags uncle gave him 25 baseball cards to start his collection. Every week, Tag buys 5 more cards.



Write an equation that represents the total number of baseball cards Tag has in his collection. Let x represent the number of weeks Tag bought cards, and let y represent the total nimber of cards Tag has​

Answers

Answer:

so you would say 5 × 5 = 25 or 25÷5=5

Answer:

y=25+5x

Step-by-step explanation:

Help PLS ILL GIVE BRAINLIEST FOR CORRECT ANSWER



A: 4.5 ounces


B: 8 ounces


C: 280 ounces


D: 288 ounces

Answers

Answer:

what's the question for this?

WORTH 25 points!! NEED ASAP!! REALLY IMPORTANT

Answers

Answer:

V = (4.2)(7.5)·w

if w = 2 then V = 63 ft³

Step-by-step explanation:

V = l·w·h

V = (4.2)(7.5)(2)

V = 63

What is the difference between the first image and the second??

Answers

Answer:

There is only one image

Step-by-step explanation:

You are traveling down a country road at a rate of 95 feet/sec when you see a large cow 300 feet in front of you and directly in your lane. The cow is fearless, and staring you down. (Or perhaps she does not understand the gravity of the situation.) Regardless, if you simply hit your brakes, after t seconds, the car will be j(t) = 95t - 9t^2 feet from the point where the brakes were first applied.
1) Must you steer to avoid the cow, or can you rely solely on your brakes? Explain.
2) Graph J(t), j'(t), and j"(t) and Interpret their meanings in context.
3) Is there a time t after which the graphs in part (ii) probably do not accurately model the path of the car?
4) Write a piece-wise function using j(t) that would more accurately model the path of the car on the interval [0, 10], assuming the car did not move after it stopped. Sketch this graph and its derivative.

Answers

Answer:

1) You can rely solely on your brakes because when doing so the car will just travel 250ft from the point you hit your brakes till the point the car stopped completely, leaving you 50ft away from the cow.

2) See attached picture.

j(t) represents the distance from the point you hit the brake t seconds after you hit it in feet

j'(t) represents the velocity of the car t seconds after the brakes have been hit in ft/s.

j"(t) represents the acceleration of the car t seconds after the brakes have been hit in [tex]ft/s^{2}[/tex]

3) yes, any time after t=5.28 will not accurately model the path of the car since at that exact time the car will reach a velocity of 0ft/s and unless another force is applied to the car, then the car will not move after that time.

4) [tex]j(t)=\left \{ {{95t-9t^{2}; 0\le t<5.28s} \atop {250.69; 5.28s\leq t \leq 10s}} \right.[/tex]

[tex]j'(t)=\left \{ {{95-18t; 0\leq t<5.28s} \atop {0 ; 5.28s\leq t \leq 10s}} \right.[/tex]

(see attached picture for graph)

Step-by-step explanation:

1) In this part of the problem we need to find the time when the speed of the car is 0. Gets to a complete stop. For this we will need to take the derivative of the position function so we get:

[tex]j(t)=95t-9t^2[/tex]

[tex]j'(t)=95-18t[/tex]

and we set the first derivative equal to zero so we get:

95-18t=0

and solve for t

-18t=-95

[tex]t=\frac{95}{18}[/tex]

t=5.28s

so now we calculate the position of the car after 5.28 seconds, so we get:

[tex]j(5.28)=95(5.28)-9(5.28)^{2}[/tex]

[tex]j(5.28)=250.69ft[/tex]

so we have that the car will stop 250.69ft after he hit the brakes, so there will be about 50ft between the car and the cow when the car stops completely, so he can rely just on the breaks.

2) For answer 2 I take the second derivative of the function so I get:

[tex]j(t)=95t-9t^{2}[/tex]

[tex]j'(t)=95-18t[/tex]

j"(t)=-18

and then we graph them. (See attached picture)

j(t) represents the distance from the point you hit the brake t seconds after you hit it in feet

j'(t) represents the velocity of the car t seconds after the brakes have been hit in ft/s.

j"(t) represents the acceleration of the car t seconds after the brakes have been hit in [tex]ft/s^{2}[/tex]

3)  yes, any time after t=5.28 will not accurately model the path of the car since at that exact time the car will reach a velocity of 0ft/s and unless another force is applied to the car, then the car will not move after that time.

4) [tex]j(t)=\left \{ {{95t-9t^{2}; 0\le t<5.28s} \atop {250.69; 5.28s\leq t \leq 10s}} \right.[/tex]

[tex]j'(t)=\left \{ {{95-18t; 0\leq t<5.28s} \atop {0 ; 5.28s\leq t \leq 10s}} \right.[/tex]

(see attached picture for graph)

The relationship between the number of slices of pizza eaten and the number of calories
consumed is linear. If you eat 2 slices of pizza and a salad, you consume 455 calories. If you eat
5 slices of pizza and a salad, you consume 1,025 calories.

Answers

Answer:

PIZZA

Step-by-step explanation:

round to the nearest 10th​

Answers

230 to the nearest 10 240

HELP ASAP
which expression can be used to solve 2/3 divided by 1/6

A. 2/3 x 1/6

B. 2/3 x 6/1

C. 3/2 x 1/6

D. 3/2 x 6/1

Answers

Answer:

B

Step-by-step explanation:

2/3 ÷ 1/6

=2/3 × 6/1

sorry if I got it wrong

Answer:

A

Step-by-step explanation:

it a because 2/3 yout divide that then you divide 1/6 right you just have to find the one that matches the number 2/3 1/6 so it A

PLEASE HELP WILL MARK BRAINLIEST!!
What is the value of j?

Answers

Answer:

21

Step-by-step explanation:

simply

the square represents 90 degrees and 90 - 61 is 21

CL 6-153
In 2012 the average cost for a new midsized car was about
$31,000. New car prices tend to go up about 2% every year.
a. What is the multiplier for this situation?
b. If this trend continues, what will the cost be in 4 years?
c. Write an equation to calculate the cost in n years. What does
each of the factors in your equation represent?

Answers

Answer:

A) The multiplier for this situation is 0.02.

B) The cost in 4 years will be $ 33,555.39.

C) 31,000 x 1.02 ^ N = X

Step-by-step explanation:

Since in 2012 the average cost for a new midsized car was about $ 31,000, and new car prices tend to go up about 2% every year, to determine what is the multiplier for this situation, what will the cost be in 4 years if this trend continues and to write an equation to calculate the cost in n years the following calculations must be performed:

A)

31,000 x 2/100 = X

31,000 x 0.02 = X

Thus, the multiplier for this situation is 0.02.

B)

31,000 x 1.02 ^ 4 = X

33,555.39 = X

Thus, the cost in 4 years will be $ 33,555.39.

C)

31,000 x 1.02 ^ N = X

Here, N represents the number of years over which the price increase will be calculated, and X represents the price after that number of years.

Plz answer will mark brainliest

Answers

Answer:

Step-by-step explanation:

w and d are the width and diagonal, respectively.

w = d/2 + 1 = (d+2)/2

Pythagorean theorem

w^2 + 8^2 = d^2

substitution

(d+2)^2/4 +64 = d^2

(d+2)^2 + 256 = 4d^2

d^2+4d+4 + 256 = 4d^2

3d^2-4d-260 = 0

Quadratic formula

d = [4±√( 4²-4(3)(-260))]/[2⋅3] = 10, -26/3

-26/3 is an extraneous solution, so d = 10 inches

w=d/2 +1 =6 inches

Ant‘s path = 8+6 = 14 inches

Beetle’s path = 10 inches

14 < 1.5(10)

Ant reaches food first.

Evaluate each expression if m = 3 and n = 7. n to the power of 2 - 2m plz

Answers

Answer:

[tex]7^{2}[/tex] -2 * 3 is equal to 43

Step-by-step explanation:

midsegment of a trapezoid find x​

Answers

Answer:

x = 7

Step-by-step explanation:

Based on the midsegment theorem of a trapezoid, thus:

NP = (JK + ML)/2

Substitute

45 = (3x + 11 + 10x - 12)/2

2*45 = 13x - 1

90 = 13x - 1

90 + 1 = 13x

91 = 13x

Divide both sides by 13

91/13 = x

7 = x

x = 7

Find the unknown value in the proportion. 3/5 = x/20. what is the value of
X?

Answers

The answer should be x=12

Find the missing angle

Answers

bro what angle I don't see one here so how we are able to solve this problem

The length of a cell phone is 1.41.4 inches and the width is 4.44.4 inches. The company making the cell phone wants to make a new version whose length will be 1.751.75 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?

Answers

Answer:

Step-by-step explanation:

Answer:

5.573.75

Step-by-step explanation:

because math

The lines below are parallel. If the slope of the green line is -2, what is the
slope of the red line?

Answers

Answer:

C. -2

Step-by-step explanation:

All parallel lines have the same slope

Help

Amelia's water bottle holds 4 pints, 2 cups. How many cups does Amelia's water bottle hold? Note: 1 pint = 2 cups
Group of answer choices

Answers

Answer: it hold 8 cups

Step-by-step explanation:

May I plz get brainlest

If she has 4 pints and 2 cups, and pints still needs converted, then multiply 4 by 2 to get the number of cups per pint. so she has 8+2 cups, or 10 cups in her water bottle

---

hope it helps

Calculate the area of the figure in square centimeters.

Answers

Answer:

20.283

Step-by-step explanation:

1) the formula of the required Area is:

A=A₁+A₂, where A₁ - area of semicircle, A₂ - area of rectangular;

2) the radius of the semicircle is: r=(7-2-1)/2=2 cm, then the area A₁:

A₁=0.5*π*r²=2π≈6.283 (cm²);

3) A₂=7*2=14 (cm²);

4) finally, A=A₁+A₂=6.283+14=20.283 (cm²)

Find the measure of 2.
50 2.
1130
< 2 =
[?]

Answers

= 180° - 50°
= 130°

the answer is 130°

Find the surface area of the rectangular prism.

HELP ME PLS ASAP PLS PLZ

Answers

Answer: 222 cm

Explanation: 9x3=27x2=54
7x3=21x2=42
7x9=63x2=126
54+42+126=222
The answer is 222 centimeters

Please help me fill out the numbers in the box and help me answer the question

Answers

9514 1404 393

Answer:

  (1, 55), (4, 220), (5, 275)

  times 55

Step-by-step explanation:

You know from life experience that the cost of tickets is often proportional to the number of tickets*. Here, you can check that by dividing the cost by the number of tickets for each of the table entries where both are given:

  110/2 = 55 = 165/3

This tells you the cost of 1 ticket is 55. It also tells you the cost of 4 tickets will be 4×55 = 220, and the cost of 5 tickets will be 5×55 = 275.

In short, the cost in dollars is the number of tickets times 55.

_____

* Your life experience will also tell you that sometimes there is a "processing fee" that makes the relation non-proportional. No such fee is evident here.

__

Alternate solution

Since the relation is proportional, you can find the cost of 1 ticket by dividing the cost of 2 tickets by 2: 110/2 = 55. You can find the cost of 4 tickets by doubling the cost of 2 tickets: 2×110 = 220. You can also find the cost of 5 tickets by adding the costs of 2 and 3 tickets: 110 +165 = 275.

Identify the y-intercept of the graph below

Answers

Answer:

I want to say it's A

Step-by-step explanation:

the y-intercept is where the line crosses through the y-axis.

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