Solve the following system of equations using substitution.

3x + 2y = 16
3x - 1 = y

Answers

Answer 1

Answer:

x=2
y=5

Step-by-step explanation:

Since we have an equation that is set equal to why with x in it, we can multiply it by 2 to get 6x-2=2y.

We can then plug that in for 2 +2y in the equation above, giving us 3x+6x-2=16 or 9x-2=16.

From there we add 2 to both sides and get 9x=18.

Then divide both sides by 9 to get x=2.

Then plug x=2 in for the equation below and get 6-1, or 5.

Giving us our answers, x=2 and y=5


Related Questions

What is the correct answer for this

Answers

Answer:

The answer for this question is 9.

Step-by-step explanation:

8.5 x 4 x 9 is 306

Answer:

P = 9 mm

Step-by-step explanation:

306 = P X 8.5 X 4

306 = 34P

[tex]306/34 = P[/tex]

P = 9 mm

Hope this helps

if A=(0,0) and B=9(2,5), what is the approximate length of AB

Answers

Answer:

(x2 – x1)2 + (y2 – y12))d = √((5 – 0)2 + (2 – 0)2d = √(25 + 4) = √(29) ≈ 5.385aa

Step-by-step explanation:

what is 4.768 as a common fraction

Answers

Answer:

[tex] \frac{596}{125} [/tex]

should be it

Can someone help me????

Answers

Answer:

x= 3(y+8)/

8

y= 8(x-3)/

3

What is the area of the shape?

Answers

76 8x7 =56 8x3 =24 24 divided by 2 is 12 8x2=16 16 divided by two is 8 add them together 76

Answer:

76

Step-by-step explanation:

to find the area of a square do base x height

7 x 8 = 56

to find the area of a triangle do base x height ÷ 2

3 x 8 = 24

24 ÷ 2 = 12

2 x 8 = 16

16 ÷ 2 = 8

8 + 12 + 56

= 76

Denali is the highest mountain
in the United States. What is its height in meters?
Round to the nearest whole number.

Answers

Answer:

6,000 meters.

Step-by-step explanation:

Denali is 6,190 meters so round it off to 6000.

Answer: 6,200

Step-by-step explanat

Denail 6,190 and if it is 50 up then you round up and if it if 50 down then you round down. In this case it is higher than 50 cause it is 6,190 so you round up.

Therefore, the answer should be 6,200

How to find a surface are?

Answers

     The surface area is found by finding the area of all shapes creating the surface, and then adding them together.

Example:

     If we have a 5 x 5 x 5 cube, we will find all six sides. Since 5 x 5 is 25, and 25 x 6 = 150, the surface area of this example cube will be 150 units².

     Why the x 6? Since it is a cube all the sides have the same area, and a cube has 6 sides.

A large set of data was collected and analyzed for the majors of college seniors in the US From the scatter plots produced the following associations were observed the linear model P(1) - 2,376 + 73,219 can
be used to estimate the number of college seniors who graduated with a bachelor's degree in psychology, tyears after 2000. The linear model B(l) 2,4140 + 56, 545 can be used to estimate the number of college
seniors who graduated with a bachelor's degree in biology, years after 2000
Which of the following statements are true?
The number of psychology degrees increases by about 73,219 each year after 2000
The number of biology degrees increases by about 2,414 each year after 2000,
About 73,000 students graduated with degrees in psychology in 2000.
About 2,400 students graduated with degrees in biology in 2000.
In 2000, more students graduated with psychology degrees than biology degrees.

Answers

Using linear function concepts, it is found that the correct statements are given by:

The number of biology degrees increases by about 2,414 each year after 2000.About 73,000 students graduated with degrees in psychology in 2000.In 2000, more students graduated with psychology degrees than biology degrees.

What is a linear function?

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value.

In this problem, the number of college seniors who graduated with a bachelor's degree in psychology, in t years after 2000, is modeled by:

P(t) = 2,376t + 73,219.

For biology, the amount is given by:

B(t) = 2,414t + 56,545.

Then, the true statements are given by:

The number of biology degrees increases by about 2,414 each year after 2000.About 73,000 students graduated with degrees in psychology in 2000.In 2000, more students graduated with psychology degrees than biology degrees.

More can be learned about linear function concepts at https://brainly.com/question/24808124

Do number 10 please

Answers

To solve this problem, let's first understand the information given

   ⇒ says that 150% of expected people showed up

        ⇒ the number of expected people is 340

            ⇒ means 150% of 340 is the number of people who showed up

                ⇒ written mathematically 150% is equivalent to 150/100.

To find the exact number of people we must time 150/100 to 340

   [tex]\frac{150}{100}*340=1.5 * 340 = 510[/tex]

That means 510 people showed up

Hope that helped!

The air quality index, or aqi, measures how polluted the air is in your city and assigns a number based on the quality of the air. over 100 is "unhealthy". the number of days the aqi exceeds 100 in a given year is modeled by the following quadratic regression equation: n = 1.76 t squared minus 13.32 t 41.00 let n represent the number of days the aqi exceeds 100 in a given year. approximately how many days did the aqi exceed 100 in the year 1988? round to the nearest whole day. (let t represent the number of years since 1990. therefore, t = 0 corresponds to the year 1990.) a. 60 days b. 75 days c. 61 days d. 21 days

Answers

The number of days in which the air quality index exceed 100 in the year 1988 is 75 days. Then the correct option is B.

What is a function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The air quality index (AQI) is given by the function.

[tex]\rm n = 1.76t^2-13.32 +41[/tex]

Where n be the number of days the AQI exceeds 100 in a given year.

For [tex]\rm t = -2[/tex], then we have

[tex]\rm n = 1.76(-2)^2-13.32(-2) +41\\\\n = 7.04+26.64+41\\\\n = 74.68 \approx 75[/tex]

More about the function link is given below.

https://brainly.com/question/5245372

Given: AABC,
AB=BC,
BD 1 AC,
P
AABC
BC = 50,
= 40
ABD
Find: BD

Answers

Answer: 15

Step-by-step explanation:

Write an equation for the line in slope intercept form

Answers

Answer:

[tex]y=-\frac{3}{4}x+4[/tex]

Step-by-step explanation:

Slope-intercept form: y = mx + b

Slope (m): [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Use two points on the line to find the slope (m)

(4, 1) and (-4, 7)

[tex]m=\frac{7-1}{-4-4} \\\\m=\frac{6}{-8}\\\\m=-\frac{6\div2}{-8\div2}\\\\m=-\frac{3}{4}[/tex]

y = mx + b

[tex]y=-\frac{3}{4}x+b[/tex]

Now we find b, using either (4, 1) or (-4, 7)

(4, 1)

[tex]y=-\frac{3}{4}x+b\\\\1=-\frac{3}{4}(4)+b\\\\1=-3+b\\+3 +3\\\\4=b[/tex]

[tex]y=-\frac{3}{4}x+b== > y=-\frac{3}{4}x+4[/tex]

Check your answer using either of the points:

[tex](4,1)\\y=-\frac{3}{4}x+4\\\\1=-\frac{3}{4}(4)+4\\\\1=-3+4\\\\1=1[/tex]

This statement is true

Therefore, our final answer is [tex]y=-\frac{3}{4}x+4[/tex]

Hope this helps!

What is the sun of this question somebody tell me

Answers

Answer:

2/10 +28/10020+28/10048/10012/25

Answer:

first of all you have to take the L.C.M of both which will be 100

Step-by-step explanation:

[tex]2 \div 10 + 28 \div 100 \\ = \frac{20 + 28 }{100} \\ = \ \frac{12}{25} [/tex]

What is the sum of the geometric sequence 2, 8, 32, if there are 8 terms?

Answers

Answer:

43690

Step-by-step explanation:

hope u understand it

Factor using the greatest common factor

25n ² - 5n


32n ² + 28n - 20

Answers

Answer:

this is my answer

5n (5n - 1)

4n (8 + 7) - 20

Q. Find the Volume

3.4
5.2
7.1
Answer choices

A. 105
B. 112.5
C. 125.5
D. 110

Answers

Answer:

[tex]\boxed{\sf{125.5m^{3} }}[/tex]

Step-by-step explanation:

To determine a volume, you need a volume formula.

Volume:

[tex]\Longrightarrow:\sf{V=l*w*h}[/tex]

L stands for length: 7.1W stands for width: 5.2H stands for height: 3.4

Multiply these numbers from left to right.

[tex]\sf{7.1m*5.2m*3.4m=\boxed{\sf{125.5m^{3}}}[/tex]

Therefore, the correct answer is 125.5m³.

I hope this helps you! Let me know if my answer is wrong or not.

Area of composite shapes
The following shape has 1 pair of
parallel sides.
7
2
7
8
*
-
-
-
3
What is the area of the shape?
CI
units?

Answers

Answer: 76

Step-by-step explanation:

The area of the given composite figure is 76 square units.

What is area?

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

The given composite figure has three parts, two triangles and one rectangle.

Area of small triangle = 1/2 ×8×2

= 8 square units

Area of large triangle = 1/2 ×8×3

= 12 square units

Area of rectangle = Length×Height

= 8×7

= 56 square units

Total area = 8+12+56

= 76 square units

Therefore, the area of the given composite figure is 76 square units.

Learn more about the area here:

https://brainly.com/question/27683633.

#SPJ2

Factor the polynomials completely, then solve. 4^2- 81 = 0​

Answers

Answer:

[tex]x=\pm\frac{9}{2}[/tex]

Step-by-step explanation:

I assume you mean [tex]4x^2-81=0[/tex]:

[tex]4x^2-81=0\\(2x-9)(2x+9)=0\\x=\frac{9}{2},\:x=-\frac{9}{2}\\x=\pm\frac{9}{2}[/tex]

We were able to work quickly here since the original left-side expression was a difference of squares.

Answer:

Step-by-step explanation:

4x^2 - 81 = 0

(2x - 9)(2x + 9) = 0

x = -9/2, 9/2

What percentage of take-home pay is spent on expenses? (round to nearest whole percent) a) 67% b) 68% c) 84% d) 85%

Answers

The percentage of take-home pay is spent on expenses is 85% round to nearest whole percent.

What is percentage of a number?

Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'  known as percentage symbol.

In the attached image below the monthly budget is shown. In this budget the take home salary is $5388 and the total expences is $4558.

The percentage of take-home pay is spent on expenses is,

[tex]P=\dfrac{4558}{5388}\times100\\P=0.8459\\P\approx85\%[/tex]

Thus, the percentage of take-home pay is spent on expenses is 85% round to nearest whole percent.

Learn more about the percentage here;

https://brainly.com/question/24304697

Need help with angle solving​

Answers

Step-by-step explanation:

corresponding angles (CA)

Alternative interior angles (AIA)

co interior angles (CIA)

question 1 angles =

5 + 3 = 180 ( CIA)

83⁰ + 3 = 180

angle 3 = 180 - 83⁰

angle 3 = 97

angle 8 = angle 3.... CA

angle 8 = angle 16 ....CA

ANGLE 16 = ANGLE 12.....CA

angle 5 = angle 13 ....CA

ANGLE 3 = Angle 6......AIA

ANGLE 5 = ANGLE 4.......AIA

ANGLE 4 = ANGLE 7......CA

ANGLE 6 = ANGLE 1......CA

ANGLE 13 = ANGLE 9......CA

ANGLE 12 = ANGLE 14.....AIA

ANGLE 13 = ANGLE 11.....AIA

ANGLE 14 = ANGLE 10.......CA

ANGLE 11 = ANGLE 15

NOW JUST PUT THE VALUES GIVEN IN QUESTION AND AT THE TOP OF MY ANSWER IN EACH CASE AND UR DONE.....

QUESTION 2 :

ANGLE 1 = ANGLE 7 .......AIA

2X + 40 = 6X - 20

40 + 20 = 6X - 2X

60 = 4X

60/4 = X

15 = X

SO, ANGLE 7 = 6× 15 -20 = 90 - 20 = 70

AND, ANGLE 1 = 2 × 15 + 40 = 30 + 40 = 70

ANGLE 7 = ANGLE 3 ......CA

ANGLE 3 = ANGLE 5 .....AIA

ANGLE 3 + ANGLE 6 = 180 .....CIA

70 + ANGLE 6 = 180⁰

ANGLE 6 = 180 - 70⁰ = 110⁰

angle 2 = Angle 6

ANGLE 2 = ANGLE 8.....AEA ALTERNATIVE EXTERIOR ANGLE

ANGLE 8 = ANGLE 4

NOW, JUST PUT THE VALUES I HAVE WRITTEN ABOVE ACCORDINGLY IN EACH CASE....

Did I really jst got 15 points for this (ノ`Д´)ノ彡

HEHEEE JK:)

Are the expressions 5(3a+2) and 15a+2 equivalent? Justify your answer.
SOLVE equations, SHOW WORK, AND EXPLAIN

Answers

No. For the parenthesis, you would have to divide out both numbers. 5•3a and 5•2. This would equal 15a+10 and that does not equal 15a+2

List the rules when solving the following: 6 + (+4)

Answers

Answer:

10

Step-by-step explanation:

use a number line

6 + 4 =10


Hello, I need help with my work, someone ANYONE please help me, you will make my day if you help me.

Answers

Answer:

2.5, 3, 6, 9, 2.8, 6, 1.5

Is this what you're asking for?

Step-by-step explanation:

Describe another way you can find 18 = 3.​

Answers

Answer:

divided by 3 on both sides

A small animal can eat an amount of food that is equivalent to its body weight in 5 hour.
At this rate, what fraction of its body weight in food can the animal eat in 1 hour?
Enter your answer in the space provided. Enter only your answer.

Answers

Answer:

[tex] \frac{1}{5} [/tex]

ASAP PLEASE HELP!!! 100PTS BRAINLIEST!!!
(03.03 MC)
The table below represents a linear function f(x) and the equation represents a function g(x):

x f(x)
−1 −9
0 −1
1 7
g(x)

g(x) = 3x − 2


Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)

(10 points)

Answers

Answer:

Part A: The slope f(x) is greater than slope g(x).

Part B: f(x) has a greater y-intercept.

Step-by-step explanation:

Part A:

The slope of the line is (y2 - y1)/(x2 - x1), so now we have to find the slope f(x).

-1 - (-9) / 0 - (-1) = 8/1 = 8

That would be the slope, and for g(x) it would be 3x-2 = 3.

Which means the slope f(x) is greater than slope g(x).

Part B:

First the y-intercept has to be put on 0.

So, the when function f(x) passes through point (0, -1), then y-intercept is -1.

Now we compare g(x) = 3x-2 with the slope-intercept form and b = -2 is the result. form and b = -2 is the result.

Which means the slope of g(x) is -2. Therefore, f(x) has a greater y-intercept than g(x).

Answer:

A)  Slope of f(x) is 8.  Slope of g(x) is 3

B)  f(x) has the greater y-intercept

Step-by-step explanation:

Part A

To find the slope of function f(x), use the slope formula:

[tex]\sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{7-(-1)}{1-0}=8[/tex]

Therefore, the slope of f(x) is 8.

Linear function

[tex]y=mx+b[/tex]

where:

m is the slopeb is the y-intercept

Given:

[tex]g(x)=3x-2[/tex]

Therefore, the slope of g(x) is 3.

Part B

The y-intercept is when x = 0.  Therefore, from inspection of the table, the y-intercept of f(x) is -1.

The y-intercept of function g(x) is -2.

Therefore, as -1 > -2, function f(x) has the greater y-intercept.

Which of the following can hold about 2 liters of water? A. a lemonade pitcher B. a pond C. a coffee mug D. a medicine dropper​

Answers

A. a lemonade pitcher

A cone has a
volume of 3511
cubic feet and a
height of 13 feet.
Find the diameter
of the cone.

Answers

Answer:

Ah cgej4

YTL bebekte gt ydd

Step-by-step explanation:

(8=6'+)9*3-6

6. Rosanne is selling her Corvette. She wants to include a photo of her
car in the ad. Three publications give her prices for her ad with the
photograph:
Lake Success Shopsaver
$59.00
Glen Head Buyer
$71.00
Floral Park Moneysaver $50.00
a. What is the mean price of these ads? Round to the nearest cent.
b. What would it cost her to run all three ads?
c. If each of the three newspapers used the mean price as their ad
price, what would it cost Rosanne to run ads in all three papers?
d. Find the range of these ad prices.

Answers

Answer:

add them

Step-by-step explanation:

you have to add them all up because it says find the range

I would be very grateful if you help me ​

Answers

I think

1.3

2.15cm²

3.5

Sorry!!I don't have time ok

I'll explain later but i wrote the answer 1-3 ok

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