y = 15x
y = 25 + 12.5x

Answers

Answer 1

Substitute y = 15x to the equation y = 25 + 12.5x:

15x = 25 + 12.5x     subtract 12.5x from both sides

2.5x = 25    divide both sides by 2.5

x = 10

Substitute the value of x to the equation y = 15x:

y = (15)(10)

y = 150

Answer: x = 10 and y = 150

Related Questions

If Michael bought the 5 m how many inches did she walk

Answers

Answer:

1 meter = 39.370 inches.....so 5 meters = (5)(39.370) = 196.85 inches




How many solutions does the system of the equation have? y=-4x+2
24x+6y=6

Answers

Answer:

0 solutions

Step-by-step explanation:

they have the same slope and different y intercepts so they never intersect

Answer:

This equation has no solution

Step-by-step explanation:

To find our many solution the system of equation has, we need to  solve simultaneously, we can either solve by substitution method, by elimination method or both method.

We will be using substitution method to solve.

Here are the system of equation;

y= -4x+2 ----------(1)

24x+6y=6---------(2)

First, we are going to substitute equation (1) in equation (3)

{what we mean by substituting equation (1) in equation (2) is then any where we see y in equation (2),  we will be replacing it by[-4x + 2]}

24x + 6(-4x + 2)  = 6

Then, we will go ahead and open the bracket

24x  -  24x  +  12  =6

This simply shows that there is no solution to this system of equation

Students in band are selling oranges and grapefruit to earn money for a trip. Mrs.Whitten purchased three boxes of oranges and two boxes of grapefruit from a student for a total of $22.50. Mr. Rutig purchased one bag of oranges and four boxes of grapefruit, spending a total of $28.50. How much is one box of oranges?

Answers

Answer:

The cost of one box of oranges = $3.3

Step-by-step explanation:

Let x be cost of one box of oranges and y be the cost of one box of grapefruit.

We have been given that Mrs. Whitten purchased 3 boxes of oranges and 2 boxes of grapefruit from a student for a total of $22.50. We can represent this information as:

[tex]3x+2y=22.50...(1)[/tex]  

Mr. Rutig purchased 1 box of oranges and four boxes of grapefruit, spending a total of $28.50. We can represent this information as:

[tex]x+4y=28.50...(2)[/tex]

We will solve our system of linear equations using substitution method.

From equation (1) we will get,

[tex]y=\frac{22.50-3x}{2}[/tex]

Substituting y's value in equation (2) we will get,

[tex]x+4*(\frac{22.50-3x}{2})=28.50[/tex]

[tex]x+2*(22.50-3x)=28.50[/tex]

Upon distributing 2 we will get,

[tex]x+45-6x=28.50[/tex]

[tex]x-6x=28.50-45[/tex]

[tex]-5x=-16.5[/tex]

[tex]x=\frac{-16.5}{-5}[/tex]

[tex]x=3.3[/tex]

Therefore, the cost of one box of oranges is $3.3.

A farm tree is going out of business. It has 45 maple trees and 27 pine trees left for sale. How much money would the owners make if they sell all the trees?

Answers

the answer is 100 I hoped I helped u out with your home work

A zookeeper thinks there is a problem with the naked-mole rat population at the zoo. He starts keeping track of the animals in the tunnels. 7 days into his monitoring he counts 120 mole rats. 13 days in he counts 108.

1.) write an equation in point-slope form that represents the situation (define your variables)

2.) convert your equation to slope-intercept form

Answers

Point-slope form is an equation for a straight line that is represented in the formula.............
(y - y1) = m(x - x1) -- this means y (which will stay the same throughout the equation) minus a known or given y value equals the slope (m), parenthesis x (which will also stay the same throughout the equation) minus a known or given x value.

1.) An equation in point-slope for this would be.... (y - 120) = -2(x - 7) -- 120 being your known y value and 7 being your known x value.

2.) The equation in slope intercept form
(which is y=mx+b) would be y = -2x+134.
(y - 120) = -2(x - 7)
(y - 120) = -2*x + (-2*-7)
y - 120 = -2x + 14
+120 +120

y = -2x + 134




In this exercise we have to use the knowledge of equations to write the intersection equation, so we have to:

The formula for setting up an equation is given by:

[tex](y - y1) = m(x - x1)[/tex]

1.) So by the formula above, substituting for the values ​​given in the statement, then:

[tex](y - 120) = -2(x - 7)[/tex]

2.) The equation in slope intercept form will be:

[tex](y - 120) = -2(x - 7)\\(y - 120) = -2*x + (-2*-7)\\y - 120 = -2x + 14\\y = -2x + 134[/tex]

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How do you write 4xy + 2y + 6x^2 in ascending order

Answers

Answer: 6x² + 4xy + 2y

Step-by-step explanation:

Polynomials are written in the order of the highest degree to the lowest degree.

x² has a degree of 2 because the exponent is 2 so it is the first term.xy has a degree of 2 --> x has a degree of 1 and y has a degree of 1. The sum of their degrees is 2 so this is the second term.y has a degree of 1 which is the lowest degree so it is the last term.

Write the value of c that makes x^2+12x+c a perfect square trinomial.

Answers

Answer:

c = 36

Step-by-step explanation:

Use the formula (b/2)^2 to solve for the max or min.

ax^2 + bx + c

b = 12

(12/2)^2

6^2 = 36

You can check you work

y = x^2 + 12x + 36

y = (x + 6) (x + 6) It works!

Answer:

D  36

Step-by-step explanation:

PLEASE HELP!!

type the integer that makes the following addition sentence true

+ -6 = 1

Answers

It would be 7.


Here's why:


7 + - 6 = 1

1 = 1

It's a TRUE statement!




Hope this helps you!!!! :)

Final answer:

The integer value that makes the sentence true is 7, as in mathematics, adding a negative number 6 to a number, to yield 1, equates deducting 6 from that number to yield 1.

Explanation:

This is a mathematics problem involving the concept of integer addition. In mathematics, adding a negative number is equivalent to subtracting that number's absolute value. Therefore, to find the integer that makes the addition sentence true, you would need to identify the number that, when subtracted by 6, equals 1.

So, the equation can be rewritten as X - 6 = 1. If you add 6 on both sides of the equation to isolate the variable X on one side, the equation becomes X = 1 + 6. As a result, it is clear that the integer value X that would make the equation + -6 = 1 true is 7.

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first to answer will be the brainliest

Answers

Answer:Table no.3
because proportional between xand y means
x=ky
where k is the constant.
e.g from the no.3 table;
when x= 2.5 and y=5
2.5=5k
k=2.5/5=1/2
when k=1/2 and x=3
3=1/2 ×y
y=3×2=6(as shown in the table no.3

Solve w^3=15 where w is a real number

Answers

w =
[tex] \sqrt[3]{15} [/tex]


Find the midpoint between the complex numbers. Show all work for full credit. z1= -8 + 3i z2= 7 - 4i

Answers

Answer:

[tex]z_m=-\frac{1}{2}-\frac{1}{2}i[/tex]


Step-by-step explanation:

The given complex numbers are;

[tex]z_1=-8+3i[/tex]

and

[tex]z_2=7-4i[/tex].


The midpoint of any two complex numbers,

[tex]z_1=a_1+a_1i[/tex] and [tex]z_2=a_2+a_2i[/tex] is

is given by,

[tex]z_m=\frac{a_1+a_2}{2}+\frac{a_1+a_2}{2}i[/tex].

The midpoint of the complex numbers can be found by adding the corresponding real parts and imaginary parts and then dividing each by 2.

This is the same as;


[tex]z_m=\frac{z_1+z_2}{2}[/tex]


[tex]\Rightarrow z_m=\frac{-8+3i+7-4i}{2}[/tex]


[tex]\Rightarrow z_m=\frac{-8+7+3i-4i}{2}[/tex]


[tex]\Rightarrow z_m=\frac{-1-i}{2}[/tex]

[tex]\Rightarrow z_m=-\frac{1}{2}-\frac{i}{2}[/tex]


or

[tex]\Rightarrow z_m=-\frac{1}{2}-\frac{1}{2}i[/tex]








how would you write 834,209 in word form

Answers

Answer:

eight hundred thirty four thousand two hundred nine


All you got to do is write the places and the number.


Plzzz mark brainlest and thank em would be very much thankful


URGENT!! Which shape has six square, flat sides that are equal in size?

Answers

Answer: cube

Step-by-step explanation:

Think of a box .... it has 4 sides, a top, and a bottom = 6 total sides

Final answer:

The shape with six equal square, flat sides is known as a cube.

Explanation:

A cube is a three-dimensional geometric shape characterized by six equal square faces. Each face of the cube is identical, and the shape is formed by connecting these faces at right angles. This regular polyhedron is fundamental in mathematics and has practical applications in various fields. Cubes are extensively used in geometry, trigonometry, and calculus to illustrate concepts such as volume and surface area. In addition to its mathematical significance, cubes are prevalent in everyday objects like dice and building blocks. Understanding the properties of cubes is crucial in engineering and architecture, where it aids in designing structures and solving spatial problems efficiently.

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NEED HELP WITH ALL THESE PROBLEMS !!

Answers

Answer:

1) ASA 2) In explanation 3) I cant see all of the problem

Step-by-step explanation:

For Number 1 you need one more thing to prove that the triangles are congruent. You could see that there is a pair of vertical angles and vertical angles are congruent so you could use that. Angle DEA is congruent to Angle CEB. When there is a side in between two congruent angles, that is ASA.

For Number 2 it really is almost the same as number 1. First you write the given, then you write that angle DEA is congruent to angle CEB and the reason for that is that vertical angles are congruent. Lastly, you say that triangle ADE is congruent to triangle CBE.

For every 20 litres of petrol a car can run for 75 km.
How much petrol do you need (to 1 DP) to ensure the car has enough petrol of a trip that is 196 km?

Answers

Answer:

52.3 litres.

Step-by-step explanation:

The car consumption is 75/20 = 3.75 km/litre.

Volume of petrol needed to travel 196 km

= 196 / 3.75 = 52.3 litres.

An animal shelter has 12 cats. Of these cats, 5 weigh no more than 7 lbs. What is the approximate percentile rank of the cats that weigh 7 lbs?

Answers

Answer:

84 lbs

Step-by-step explanation:


At the beginning of year 1, Sam invests 700 at an annual compound interest rate of 5%, he makes no deposits to or withdrawals from the account. which explicit formula can be used to find the account's balance at the beginning of year 4? what is the balance?
a) 805.
b) 825.42
c) 850.85
d) 810.34

Answers

Answer:

(d) 810.34

Step-by-step explanation:

The explicit formula used for calculating the account's balance is given by:

A= P(1+R)^T

where: A= Amount (account's balance)

P= Principal  (700)

R= Rate (5%)

T= Time   (3 years) [since, the balance is calculated in the beginning of the  forth year]

A= P(1+R)^T

A = 700(1+0.05)^3

  = 700(1.05)^3

  = 700*1.157

  = 810.34

which of the following numbers must be added to complete the square in the equation below? x^2+6x-19=23 A. 19 B. -9 C. 3 D. 9

Answers

Answer:

the answer is D

Step-by-step explanation:


Answer:

D. 9

Step-by-step explanation:

What is the value of X im the figure?

Answers

Answer:

x=36

Step-by-step explanation:

< CAB and <EAD are vertical angles and vertical angles are equal

<CAB = <EAD

36 = x

You decide to market your own custom computer software. You must invest $3255 for computer hardware, and spend $2.90 to buy and package each disk. If each program sells for $13.75, write a system of equations at determine how many copies you must sell to break even

Answers

ok get ready to do some math !!

3255+2.60x=13.75x
2.60x-13.75=-3255
-11.15x=-3255
x=-3255/-11.15


x=291.9 or 292 disks need to be sold to break even. 

hope it helps plz mark as brainliest


A spinner is divided into four equal sections labeled 1, 2, 3, and 4. Another spinner is divided into three equal sections labeled A, B, and C. Simon will spin each spinner one time.

How many of the possible outcomes have an even number or a B?

Answers

Answer:

The possible outcome could be 4 or 3

Step-by-step explanation:


Answer:

2/3

Step-by-step explanation:

There are 12 possible outcomes. Of the 12, 6 are even and 4 have B's. That would give up 10/12. But then you would subtract the possible outcomes that are BOTH even AND have a B. Only 2 possible outcomes have an even number and the letter B. So 10 minus 2 is 8. That would give you 8/12. Simplify and you will get your answer of 2/3!

Just took the test, so trust me on this fellow K12ers!

What is the solution to the system of equations?
Use the substitute method
Y=3x-4
9x-3y=14

A. There is no solution
B. (12,14)
C. (14,12)
D. There are infinite solutions

Answers

Answer:

A: There is no solution

Step-by-step explanation:

This is not a very likable question.

Y=3x-4

9x-3y=14

Put the y value from the first equation into the second.

9x - 3(3x - 4) = 14               Remove the brackets

9x - 9x + 12 = 14               Combine like terms on the left

12 = 14                                 When you get this kind of conclusion, that means there is no solution. I'll graph these two for you.

Blue: y =3x - 4

Green: 9x - 3y = 14

They never touch they never meet: they are parallel. They don't give a solution.

State which of the following ordered pairs is a function. Set A: (-1, 0), (-2, 1), (4, 3), (3, 4) Set B: (1, 4), (2, 3), (3, 2), (4, 1) Set C: (2, 1), (3, 2), (2, 3), (1, 4) a. Set A b. Set B c. Both Set A and Set B d. Set C Please select the best answer from the choices provided

Answers

Answer:

Both set A and B.

Step-by-step explanation:

Set A: (-1, 0), (-2, 1), (4, 3), (3, 4)

Set B: (1, 4), (2, 3), (3, 2), (4, 1)

Set C: (2, 1), (3, 2), (2, 3), (1, 4)

In order for (x,y) to be a function, only one x get the value of y, but many x'es can get the value y.

Looking at the set A and B, and the definition above, we can say that they are functions.

What about set C? It is not a function, as x = 2 is equal 1 or 3, which does not meet the condition from the definition.


Final answer:

Both Set A and Set B are functions because each member of the domain in these sets maps to a unique value in the range. Set C is not a function because the same first element maps to different values in the range. Both set A and B are the answers.

Explanation:

To determine which set(s) represent a function, we need to ensure that each element of the domain maps to one and only one value in the range. By examining each set:

Set A: (-1, 0), (-2, 1), (4, 3), (3, 4): Every first element is unique, indicating a function.

Set B: (1, 4), (2, 3), (3, 2), (4, 1): Similarly, all first elements are unique, indicating a function.

Set C: (2, 1), (3, 2), (2, 3), (1, 4): The number 2 appears twice as a first element with different second elements, violating the definition of a function.

Therefore, both sets A and B represent functions since they each map every member of the domain to a unique member of the range, while set C does not.

The answer is b. Both Set A and Set B are functions.

What equation is equal to 1+4(6p-9)

Answers

Answer:

24p -35

Step-by-step explanation:

Simplify. Remember to follow PEMDAS. First, distribute 4 to all terms within the parenthesis

4(6p - 9) 4(6p) - (4)(9) = 24p - 36

Next, simplify. Add 1 to the constant

24p - 36 + 1

24p - 35

24p - 35 is your answer

~

WILL GIVE BRAINLIEST

graph f(x) = -0.5x + 3

please tell me the points to put on the graph

thanks :)

Answers

Answer:

- 1/5

Step-by-step explanation:

the answer is the one highlighted #1

but to do this you must first change the decimal to a fraction. Personally i use a decimal calculator.

then you go to where the 3 is on the Y axes. since its positive 3 it would be 3 up instead of down.

then you count over how ever many the X is. this is 1/2 so you go over 1 time then up 2 times.

Personally I like the triangle method where u plot the +3 then draw on the line 1 over then 3 up

if u need to find out what the plot line u can keep doing that all the way up and just reverse it when u go down.

Alonzo takes 12 minutes to run 6 times around a 400-meter track. Assuming he runs at a constant speed, how long does he take to run 1-kilometer?

Answers

Answer:

5 minutes to run 1 kilometer

Step-by-step explanation:

Alonzo takes 12 minutes to run 6 times around a 400-meter track.

6 times around a 400 m track

400 * 6 = 2400 meters

It take 12 minutes to run 2400 meters

2400 meters = 2400/1000 = 2.4km

distance = 2.4 km  and time = 12 minutes

Now we find our constant speed

[tex]Distance = speed * time[/tex]

2.4 = speed * 12

divide by 12 on both sides

speed = 0.2

so speed is 0.2 km per minute

Now we find out time when distance = 1km

Distance = speed * time

1 = 0.2 * t

divide by 0.2 on both sides

5 = t

So it take 5 minutes to run 1 kilometer

Andrew and Mark make 4 gallons of ice tea for their ice tea stand.How many quarts will they will be able to sell? If they charge $4.00 per quart,how much money will they make if they sell it all?

Answers

well for starters there's four quarts and 1 gallon so 1 gallon would be $16 and you made 4 gallons of tea so 4 * 16 is 64 the answer is Andrew and Mark will make $64 if they sell all the tea

What construction tool would be used to measure an angle?

Answers

Answer:

A protractor.


Step-by-step explanation:


a reciepe for 1 1/4 dozen cupcakes calls for 1 2/3 cups of flour, but Rashida has only 1 cup of flour. How many cupcakes can she make?

Answers

let's firstly convert the mixed fractions to improper fractions.

now, 1¼ dozen of cupcakes.... well, let's keep in mind that a dozen has 12 units, so 1¼ dozen is then 12(1¼) cupcakes total.


[tex]\bf \stackrel{mixed}{1\frac{1}{4}}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}}~\hfill \stackrel{mixed}{1\frac{2}{3}}\implies \cfrac{1\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{5}{3}} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\bf \stackrel{\textit{how many cupcakes in }\frac{5}{4}\textit{ of a dozen?}}{12\cdot \cfrac{5}{4}\implies \cfrac{12}{4}\cdot 5\implies 15} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{ccll} cupcakes&\stackrel{cups}{flour}\\ \cline{1-2}\\ 15&\frac{5}{3}\\[1em] c&1 \end{array} \implies \cfrac{15}{c}=\cfrac{~~\frac{5}{3}~~}{1}\implies \cfrac{15}{c}=\cfrac{5}{3} \\\\\\ 45=5c\implies \cfrac{45}{5}=c\implies \boxed{9=c}[/tex]

In the given case, Rashida can make approximately 9 cupcakes with 1 cup of flour.

To determine how many cupcakes Rashida can make with the 1 cup of flour she has, we need to calculate the conversion factor between the given measurement of 1 2/3 cups of flour and the available 1 cup of flour.

The conversion factor is found by dividing the available amount by the required amount

(1 cup ÷ 1 2/3 cups).

We can simplify the fraction to obtain a decimal,

1 ÷ (5/3) = 3/5 ≈ 0.6.

So, Rashida can make approximately

0.6 × 1 1/4 dozen = 0.6 × 15 = 9 cupcakes.

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How to solve for x and y

Answers

Answer:

x = 26.4      y= 17

Step-by-step explanation:

Set up proportions.


To find x:

Set 12 over x is equal to 10 over 22.


12 times 22 = 264

264 / 10  =x


x =  26.4


To find y:

Set y over 37.4 is equal to 10 over 22.


37.4 times 10 =  374


374 / 22


y = 17

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