Solve this system of equations.
3x + 4y = 36
y = -1/2x + 8
What is x?​

Answers

Answer 1

Answer: Between 1 and 3.

Step-by-step explanation:

You have to Think about y too, y can be anything, but let's say y is 1. Then x should be 3

Answer 2

x = 4, y = 6

In this case, you can solve the equation by substitution.

3x + 4y = 36

We are given that y = -1/2x + 8

Plug in that value assigned to y.

3x + 4(-1/2x + 8) = 36

3x -2x + 32 = 36

x + 32 = 36

x = 4

Now, we can return back to y

y = -1/2x + 8

y = -1/2(4) + 8

y = -2 + 8

y = 6


Related Questions

50 POINTS CORRECT ANSWER ONLY!! PLEASE HELP ASAP

Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station.

The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task.

(1, 2), (2, 4), (3, 8), (4, 16)

Use a recursive formula to determine the time she will complete station 5. Show your work.


Geometric Recursive Formula

f(n) = f(n − 1) • r

Answers

Answer:

ask 23

Step-by-step explanation:

(1, 2), (2, 4), (3, 8), (4, 16)

Use a recursive formula to determine the time she will complete station 5. Show your work.

Geometric Recursive Formula

f(n) = f(n − 1) • r

Answer:

f(n) = f(n − 1) • 2

Step-by-step explanation:

f(1) = 2

f(2) = 4

f(3) = 8

f(4) = 16

Geometric Recursive formula:  f(n) = f(n − 1) • r

where r is the common ratio

To determine r, divide one term by the previous term:

[tex]\sf r=\dfrac{f(n)}{f(n-1)}=\dfrac{16}{8}=\dfrac{8}{4}=\dfrac{4}{2}=2[/tex]

Therefore, f(n) = f(n − 1) • 2

Which probability is equal to 25%?
А
5/100
B
1/4
с
25/1
D
4/5

Answers

Answer:

1/4

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Fraction is converted to percentage:

[tex](\frac{1}{4} )(100)=\frac{100}{4} =25%[/tex] %

Hope this helps

Because of the pitch of the attic's roof, a bookcase that is 5 feet high must be place
as shown. What is the measure of the angle formed by the roof and the floor of the attic

Answers

The measure of the angle formed by the roof and the floor of the attic is 22.62 degrees.

Right angle triangle

Right angle triangle are triangle that has one of its angles as 90 degrees. The angles formed can be found using trigonometric ratios.

Therefore,

tan x° = opposite / adjacent

tan x° = 5 / 12

tan x° = 0.41666666666

x = tan⁻¹ 0.41666666666

x = 22.6198649482

x = 22.62°

Therefore, the measure of the angle formed by the roof and the floor of the attic is 22.62 degrees.

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The circumference of a compact disc is 28.26 centimeters. If the diameter of the
compact disc is 9 centimeters, which of the following best describes n?

Answers

Answer:

Step-by-step explanation:

where is the full question????

1/4+x=5 1/8
What is x?
Please, Please, Please, Please help me!
Will mark Brainliest!

Answers

Answer:

4 7/8

Step-by-step explanation:

First we need to gte the denominators the same!

So we multiply the 1/4 by 2

1/4 x 2 = 2/8

Now we subtract the 2/8 from 5 1/8 to get our answer :)

5 1/8 - 2/8 = 4 7/8

Your final answer will be 4 7/8 :)

Have a great day!

Please rate and mark brainliest!

I need a answer pleas

Answers

Answer:

The answer is D

D. 30x + 15y

!!!!!PLEASE HELP!!!!!
Over which interval of the domain is function m negative?
Y
10
8-
6-

4
+
2-
X
1-10 -8
-6
-4
4
6
8
10
-2 1012
-2
-4-
-6
-8-
-10-
O A. (6, )
O B. (0, )

Answers

Answer:

The answer would be A. (6, infinity)

Step-by-step explanation:

Domain is the x values in an equation, and range is the y values. From my understanding, the question is asking what domain range is the range, or y value, negative. The equation has an x intercept of 6, and it goes to the right for infinity. At x=7, y is -1/2.

I hope this helps!

1. What values of a, b, and c would you use in the quadratic formula for the following equation? (1 point)
5x + 9x=4
O a=-4.5 = 9,c=5
O a = 5,6 = 9,c=-4
O a=5,b= -4,0 = 9
Oa=5, b =9, c = 4

Answers

Answer:O a=5,b= -4,0 = 9?

Step-by-step explanation:i am not sure if this is right

If f and f ◦ g are onto, does it follow that g is onto? justify your answer

Answers

The functions f, g and f ◦ g are illustrations of relations and functions

If f and f ◦ g are onto, it does not necessarily follow that g is onto

How to complete the statement?

The onto functions are given as:

Function fFunction f  ◦ g

Consider the functions f and g.

The function f is an onto function, if for every element of function f, there is at least one matching element  with function g.

The above definition implies that the following definition is not a condition for the two functions to be an onto function

If for every element of function g, there is at least one matching element  with function f.

Hence, it does not necessarily follow that function g is onto

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Write an equation (a) in slope-intercept form and (b) in standard form for the line passing through (1,8) and perpendicular to 3x + 5y = 1

Answers

Step-by-step explanation:

a) 2y = 3x + 4

b) given the perpendicular

3x + 5y = 1

5y = 1 - 3x

y = 1/5 - 3x/5

m¹ = -3/5

perpendicular

m¹m² = -1

-3m²/5 = -1

m² = 5/3

so (1,8)

x¹ = 1 y¹ = 8

m² = (y - y¹)/(x - x¹)

5/3 = (y - 8)/(x - 1)

5x - 5 = 3y - 24

3y - 5x + 5 - 24 = 0

3y = 19 + 5x

^^^^^^^^^^^^^^^^^^^^^^

five whole numbers are written in order
4 6 x y 10
the mean and the median of the five numbers are the same

Answers

Answer:

7

Step-by-step explanation:

4+6+7+8+10= 35/5= 7

Median and Mean= 7

PLEASE HURRY!
A bag of tokens contains 5​​ red, 10​​ green, and 8​ blue tokens. What is the probability that a randomly selected token is red and green? Enter your answer as a fraction.

Answers

Answer:

50/529

Step-by-step explanation:

Total: 5 + 10 + 8

= 23

P(A and B) = P(A) x P(B)

P(A and B) = 5/23 x 10/23

P(A and B) = 50/529

Which table does NOT represent a linear function?

Answers

Hey there!
Linear functions have a continuous change.

Let's check these tables and see if we can tell linear functions from non-linear functions.

The first one is

x values: -1, 0, 1, 2

- we add 1 each time

y values: 8, 5, 2, -1

- we subtract 3 each time

[tex]\rule{200}{2}[/tex]

Let's try the next one:

x values: -1, 0, 1, 2

- we add 1 each time

y values: 5, 10, 15, 20

- we add 5 each time

[tex]\rule{200}{2}[/tex]

Let's try the third one:

x values: -1, 0, 1, 2- we add 1 each timey values: 15, 18, 20, 21

        - we add 3, then 2, then 1..

So this table doesn't represent a linear function.

Let's check the fourth one:

x values: -1, 0, 1, 2

- we add 1 each time

y values: 1, 2, 3, 4

- we add 1 each time

Thus, Option C is the right option.

Hope everything is clear.

Let me know if you have any questions!

Always remember: Knowledge is power!

What is the diameter of a sphere with a volume of 397 m 3 to the nearest tenth of a meter?

Answers

The diameter of a sphere with a volume of 397 meter cube to the nearest tenth of a meter is 9.1 meters

Volume of a sphere

volume of a sphere = 4 / 3 πr³

where

r = radius of the sphere

Therefore,

volume = 397m³

Diameter = radius  × 2

Hence,

volume of a sphere = 4 / 3 πr³

volume of a sphere = 4 / 3 × 3.14 × r³

397 = 12.56 / 3 r³

cross multiply

397 × 3 = 12.56 r³

1191 = 12.56 r³

divide both sides by 12.56

r³ = 1191 / 12.56

r = ∛94.8248407643

r = 4.56009658

Hence,

diameter = 4.56009658 × 2 = 9.12 = 9.1 meters

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investments historically have doubled every 9 years. If you start will a $2,000 investment, how much money would you have after 45 years?

Answers

Answer:

$64,000

Step-by-step explanation:

Friday, 45 / 9 = 5

So the investment will double 5 times

First time

2,000 (starting investment) × 2 = 4000

Second time

4000 × 2 = 8000

Third time

8000 × 2 = 16000

Fourth time

16000 × 2 = 32000

Fifth and final time

32000 × 2 = 64000

$64,000

What property of operations is used to show that 12x + 6y is equivalent to(2x + y)?

Answers

Answer:

Distributive property. When you factor out a GCF, from 12x + 6y, you would get 6(2x+y).

Step-by-step explanation:

12x + 6y is equivalent to 2x + y using the distributive property of multiplication over addition.

What is Number system?

A number system is defined as a system of writing to express numbers.

The distributive property states that a(b + c) = ab + ac, where a, b, and c are any real numbers.

We can apply this property to the expression 2x + y by multiplying 2x by 6 and y by 6, giving:

12x + 6y = 6(2x) + 6(y)

Then, we can use the distributive property again to simplify the expression inside the parentheses:

6(2x) + 6(y) = 6(2x + y)

Substituting this expression back into the original equation, we get:

12x + 6y = 6(2x + y)

Simplifying further by dividing both sides by 6, we obtain:

2x + y = 12x/6 + 6y/6

2x + y = 2x + y

Therefore, we have shown that 12x + 6y is equivalent to 2x + y using the distributive property of multiplication over addition.

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#SPJ2

What is the surface area of this right triangular prism?

Answers

Answer:21.08in^2.

Step-by-step explanation:A=2(wl+hl+hw)=2·(4·8+3·8+3·4)=136cm2

136 cm^2 to inch^2.=21.08

Answer:

96in²

Step-by-step explanation:

i took k-12 quiz

Vat=13% Discount=20% Sp with vat=20340 Mp=? Vat amount=?

Answers

Answer:

Vat amount = Rs 2340

Mp = Rs 22500

Help I’m so bad at math

Answers

If two triangles are congruent (as per the given congruency statement), then the corresponding angles of both triangles are also congruent.

Therefore, if angle B = 145, then angle E is also 145.

Answer: C) 145

Hope this helps!

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER PLEASE

Answers

Answer:

1st answer was wrong

area of circle - quarter

Step-by-step

100pi- (100pi÷4)

100pi - 25pi

75pi

A roof rises 24 feet vertically and 14 feet horizontally. What is the slope of the​ roof?

Answers

Answer:

1.714 feet

Step-by-step explanation:

slope is rise over run.

rise would be the vertical measurement and run would be the horizontal measurement.


24/14 = 12/7


12/7 = 1.714

6. Owen weighed 3 different bugs. List the bugs
in order from lightest to heaviest.
Bug
Fly
Spider
Bee
Weight
2.5 x 10-4 ounces
7.1 x 10-5 ounces
4 x 10-3 ounces
A. Spider, Fly, Bee
B. Fly, Bee, Spider
C. Spider, Bee, Fly
D. Fly, Spider, Bee

Answers

B flu,bee and spider

Can someone help me out please

Answers

Mucopolysaccharidosis

You are designing a large rectangular fish tank for your tropical fish. The length will be 1 yard 3 inches, the width will be 1. 5 feet, and the height will be 20 inches. Part A Find the volume of the fish tank in cubic inches. The volume is cubic inches. Part B Your math teacher tells you that your fish tank will have a capacity of about 976 cups. You have a total of 30 tropical fish. For them to flourish in a fish tank, there needs to be an average of 2 gallons of water for each fish. Convert 976 cups to gallons. 976 cups equals gallons.

Answers

Unit conversion is a way of converting some common units into another without changing their real value. 30 fishes can flourish in a fish tank with a capacity of 976 cups.

What is Units conversion?

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

As it is given that the length will be 1 yard 3 inches, the width will be 1. 5 feet, and the height will be 20 inches. Therefore, Converting all the dimensions to inches.

Length = 1 yard 3 inches = 36 inches + 3 inches = 39 inches

Width = 1.5 feet = 1.5×12 = 18 inches

Height = 20 inches

A.) The volume of the fish tank can be written as,

[tex]\rm \text{Volume of the Fish Tank} = Length \times Width \times Height[/tex]

                                      [tex]= 39 \times 18 \times 20\\\\= 14,040\rm\ in^3[/tex]

Thus, the volume of the fish tank is 14,040 in³.

B.) As we know that a cup is equal to 0.0625 gallons. Therefore, the capacity of the fish tank in gallons can be written as,

[tex]\rm 1\ cup= 0.0625\ gallons\\\\976\ cup= 976 \times 0.0625\ gallons\\\\976\ cup= 61\ gallons[/tex]

Now, for a total of 30 fish, the water that will be needed is one fish needs 2 gallons of water is,

[tex]\rm Water\ Needed = 30 \times 2 = 60\ gallons[/tex]

As the water needed for the 30 fishes to flourish is 60 gallons while the tank has a capacity of 61 gallons.

Hence, 30 fishes can flourish in a fish tank with a capacity of 976 cups.

Learn more about Units conversion:

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Juan went shopping for a new pair of sneakers because of a sale. The price on the tag was $28, but Juan paid $23.80 before tax. Find the percent discount.

Answers

Answer:

15% off

Step-by-step explanation:

28-23.80 = 4.2$

23.8/28 = 0.85

100-85 = 15

15%

For the below expressions, write an equivalent expression that
uses only addition.
1a.) 20 - 9 + 8-7
1b.) 4x -7y -52 + 6
1c.) -3% -8y - 4 - 8/72

Answers

Answer:

So this is pretty much endless but here are a few examples:

3+3+3+3

4x+(-7y) + (-46)

-3% + (-8y) + (-4) + (-0.1111)

Step-by-step explanation:

Hope this helps have a great rest of your day

Please help with this​

Answers

For the hole in the above triangular, the area that we need is the area of the rectangular hole i.e length times breadth that is 3 × 2 = 6

Hence, 6 sq. ft. carpet will be needed

Please Help I'm Confused.

Answers

It examines the knowledge of the basic calculation. According to the topic, parallelogram ABCD & AB//CD
so AB=CD
Since MAB=-5 so MCD = MAB=-5 then the answer might be “-5”

John ordered a large three topping pizza for $7. 50 and a large 8 topping pizza for $10. Write an equation in slope-intercept form to describe the situation. (use fractions) (15 points)

Answers

to get the equation of any straight line, we simply need two points off of it, well, let's use the provided values hmmm

[tex]\begin{array}{ccll} \stackrel{toppings}{x}&\stackrel{cost}{y}\\ \cline{1-2} 3 & 7.50\\ 8& 10 \end{array} \qquad\implies \qquad (\stackrel{x_1}{3}~,~\stackrel{y_1}{7.50})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{10}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{10}-\stackrel{y1}{7.50}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{3}}}\implies \cfrac{2.5}{5}\implies \cfrac{~~ \frac{25}{10}~~}{5}\implies \cfrac{25}{50}\implies \cfrac{1}{2}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7.50}=\stackrel{m}{\cfrac{1}{2}}(x-\stackrel{x_1}{3})\implies y-\cfrac{750}{100}=\cfrac{1}{2}(x-3) \\\\\\ y-\cfrac{15}{2}=\cfrac{1}{2}x-\cfrac{3}{2}\implies y=\cfrac{1}{2}x-\cfrac{3}{2}+\cfrac{15}{2}\implies y=\cfrac{1}{2}x-6[/tex]

royalred just started production of a new synthetic motor oil they have overhead costs of $21,804.00 a month plus manufacturing costs of $4.99 per quart of oil the oil sells for $7.36 per quart and the company's profit per month can be determined by the function p(x)=2.37x-21,804, where x is the number of quarts of oil sold over which of the following intervals will the company be making a profit
a: 2,962, 10,580
b: 9,201, 18,860
c: 2,932, infinite
d: 9,200, infinite

Answers

Considering the given profit function, it is found that the interval of values of x for which the company makes a profit is:

d: 9,200, infinite.

What is the profit function?

Considering x as he number of quarts of oil sold, the monthly profit function is given by:

p(x) = 2.37x + 21,804.

The company makes a profit if p(x) > 0, hence:

p(x) > 0

2.37x + 21,804 > 0

x > 21,804/2.37

x > 9,200.

Which means that option D is correct.

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