2x + 3y = 1200
3x + 2y = 1300
Based on the system of equations above, what is the
value of 5x+ 5y?​

Answers

Answer 1
2500
So if we added both equations together so 2x+3x =5x and 3y+2y =5y and 1200+1300=2500 so 5x+5y=2500
Answer 2
Final answer:

To find the value of 5x + 5y, you can solve the system of equations using the elimination method, and substitute the values of x and y into the expression.

Explanation:

To find the value of 5x + 5y based on the system of equations:

2x + 3y = 1200

3x + 2y = 1300

we can solve the system by either substitution or elimination method. Let's use the elimination method:

Multiply the first equation by 3 and the second equation by 2 to make the coefficients of x in both equations the same. Subtract the second equation from the first equation to eliminate x. Solve for y. Substitute the value of y back into one of the original equations to solve for x. Once you have the values of x and y, substitute them into 5x + 5y and calculate the final value.

The value of 5x + 5y in this system of equations is 12500.

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Related Questions

Find one value of x that is a solution to the equation: (3x-1)^2 +12x -4 =0
X =

Answers

X= -1 or X= 1/3= 0.333

A restaurant charges $3 for a soda and it includes free unlimited
refills. If this situation were represented as a function, what would be
the slope?

1)O
2)3
3)5
4)7

Answers

The answer is zero
For each soda you would be the price would go up
The slope is that price that you buy the soda
Except since it is unlimited it means we don’t have to pay for the soda each time we buy one
So every time we buy a soda the price we pay for is not existent
I hope this helps
Final answer:

In this situation, where the price of the soda remains constant regardless of the number of refills, the slope of the function representing this scenario is 0.

Explanation:

In mathematics, the slope of a function can be thought of as the rate of change of the dependent variable (in this case, cost) in relation to the independent variable (in this case, number of refills). Given that the price for the soda remains constant at $3 regardless of the number of refills, the slope would be 0. This is because the cost (the y-value) does not change as the number of sodas (the x-value) increases. Thus, the correct answer is 1) 0.

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can someone please help me with exponential models (algebra 2)? i have three word problems i really need help with. i put a picture of them. i only need 26, 28, and 30. thank you :)

Answers

I will see if i can help you since you had helped me

26. 244611.80  $

27. ?

28. 2568246.87126  $

29. 11850.59

30. 426647.047  $

I do not know about #27

But I do know about the rest

The dimensions of a rectangular prism are 8 yd by 8 yd by 4 yd. Find the surface area of the prism.

Answers

Answer:

The surface area of the rectangular prism is 256

Step-by-step explanation:

Answer:

256 yd2

Step-by-step explanation:

All parbolas with vertical directrix open to the left or right
True or false

Answers

true!

all parabolas with vertical directrix DO open to the left/right.
Final answer:

The statement is false because parabolas can also open upwards or downwards if the directrix is horizontal. A parabola's open direction depends on the position of the directrix relative to the focus.

Explanation:

The statement that "All parabolas with vertical directrix open to the left or right" is false. A parabola's orientation is determined by the position of its directrix in relation to its focus. If you have a vertical directrix, the parabola will indeed open to the left or the right, depending on the side of the directrix the focus lies. However, if the directrix is horizontal, the parabola will open upwards or downwards. To help understand this, recall that the directrix serves as a line that, in combination with the focus, defines the set of points that make up the parabola—that is, points equidistant from both the focus and the directrix. Furthermore, the equation of a parabola can change based on the orientation and position of the axis, the focus, and the directrix, as shown in various figures and equations related to parabolic motion and geometry.

If an original quantity is 12, and the new quantity is 15, what is the percent increase?

Answers

Answer:

20% increase

Step-by-step explanation:

1- New number-original number

2- number increased divided by new number then multiply by 100

15-12= 3

3 divided by 15= 0.2

0.2 times 100= 20%

If an original quantity is 12, and the new quantity is 15, then the percentage increase is 25%.

Given that, an original quantity is 12, and the new quantity is 15.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Here,

Percentage increase = (New quantity - Original quantity)/Original quantity ×100

= (15-12)/12 ×100

= 3/12 ×100

= 0.25×100

= 25%

Therefore, if an original quantity is 12, and the new quantity is 15, then the percentage increase is 25%.

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Please help! You don’t have to show work

Answers

Answer: The answer is B I hope that helps:)

Step-by-step explanation:

Find the first three iterates of the function with an initial value of . If necessary, round your answers to the nearest hundredth. a. 13; 175; 20,933 c. 13; 173; 19,933 b. 13; 173; 29,967 d. 13; 173; 29,933

Answers

Answer:

D

Step-by-step explanation:

just did it on edge

The function s(V) = Negative RootIndex 3 StartRoot uppercase V EndRoot describes the side length, in units, of a cube with a volume of V cubic units. Jason wants to build a cube with a minimum of 64 cubic centimeters.


What is a reasonable range for s, the side length, in centimeters, of Jason’s cube?


s > 0

s greater-than-or-equal-to 4

s greater-than-or-equal-to 8

s greater-than-or-equal-to 16

Answers

Answer:

(B)s greater-than-or-equal-to 4

[tex]s\geq 4[/tex]

Step-by-step explanation:

The function [tex]s(V)=\sqrt[3]{V}[/tex] describes the side length, in units, of a cube with a volume of V cubic units.

If Jason wants to build a cube with a minimum of 64 cubic centimeters,

[tex]V\geq 64 $ cubic meters[/tex]

Therefore:

[tex]s(V)\geq \sqrt[3]{64}\\s\geq 4 $ Units[/tex]

The correct option is B.

Answer:

B. s greater-than-or-equal-to 4

Step-by-step explanation:

Invent a data set with five numbers that has a mean of 10 and a median of 12.

Answers

Answer:

7,7,12,12,12

Step-by-step explanation:

7+7+12+12+12=50/5=10=Mean

Median=12

The data set could be as follow 7,7,12,12,12 which has a mean of 10 and a median of 12.

What are mean and median?

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = Sum of observations/the number of observations

Median represents the middle value of the given data when arranged in a particular order.

we have given the information of the data set with five numbers that have a mean of 10 and a median of 12.

Mean = 10

Let's assume the given data set 7,7,12,12,12 so, this must satisfy the information

7+7+12+12+12=50/5

Mean =10

Also,

Median=12

Thus, the data set could be as follow 7,7,12,12,12 which has a mean of 10 and a median of 12.

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What are the coordinates of the first alien who needs to be rescued?

What is the slope of the line that provides the correct path to rescue the alien?

Answers

Answer:

1,4 and 4

Step-by-step explanation:

Answer:

1 4 4

Step-by-step explanation:

What is the reduced and simplified value of the expression given below

Answers

Answer:

8

Step-by-step explanation:

4 x 6

-------

3

to... 24

---- = 8

3

Answer:

8

Step-by-step explanation:

[tex]\frac{\sqrt{16}*\sqrt{36} }{\sqrt{9} } =\frac{4 * 6}{3}=\frac{24}{3} =8[/tex]

Please mark my answer as the brainliest!!!!

A triangular pyramid has a base area of 24 square meters and a height of 4 meters. What is the volume of the pyramid?

Answers

Answer:

32 cubic meter

Step-by-step explanation:

Volume  for any pyramid  is given by  following expression

volume of pyramid = 1/3( area of base of pyramid * height of pyramid)

________________________________

In the problem

base area of pyramid = 24 sq. m

height = 4 m

Therefore substituting the above given value in formula for volume of pyramid we have

volume of pyramid = 1/3( 24 sq. m * 4 m) = 8 sq. m * 4 m   (since 24/3 = 8)

volume of pyramid =  32 cubic meter.

Carlos correctly answered 46 of the 50 questions.what percent of the questions did he answer correctly?

Answers

92% just divide the numerator by the denominator

Answer:

92%

Step-by-step explanation:

46/50=?/?

multiply 50 by 2 then 46 by 2

46/50=92/100

92/100= 92%

What is the measure of XYZ?
A 93°
B 96°
C 186°
D 174°

Answers

Answer:

  A.  93°

Step-by-step explanation:

The inscribed angle has half the measure of the arc it subtends.

  ∠Y = 186°/2 = 93°

The measure of angle XYZ is 93°.

Choose the best function model to represent the following situation: The height of a penny as it is dropped from a building roof.
1. Linear
2. Exponential
3. Quadratic
4. None of the above
Please Answer This is worth 100 points. If you answer correctly I will give you branliest.

Answers

Answer:

3. Quadratic

Step-by-step explanation:

Penny is falling under gravity

acceleration due to gravity is constant

Velocity is the integral of acceleration, which is linear

Displacement is the integral of velocity, which is quadratic

Answer: Quadratic

Explanation: Because the penny is falling, the penny will gain speed as it falls. This means that the penny will get rid of height in a shorter time making the line curved.

ANSWER QUICK. I NEED ANSWER IN 5 MINUTES.​

Answers

Answer: No

Step-by-step explanation:

I believe there would only be one describing both if they were parallel lines, but they are going two different directions in this graph. Correct me if I am wrong!

Harry bought a used bike for 1,050. Before purchasing the bike, Harry had a total of 1250 I. His savings account what percentage of his account did Harry spend on a diet bike?

Answers

Answer:

84%

Step-by-step explanation:

1,050÷1250

= 0.84

=84%

6,000 is invested in an account that earns 4.5% annual interest, compound quarterly. What is the value of the account after 8 years?

Answers

Your answer is 8,582.71

What is the volume of a cylinder with base radius 2 and height 9?
Either enter an exact answer in terms of TT or use 3.14 for 7 and enter your answer as a decimal.
cubic units

Answers

Answer:

V = 36[tex]\pi[/tex] units³

Step-by-step explanation:

Use the formula for the volume of a cylinder, V = [tex]\pi[/tex]r²h, where r is the radius and h is the height:

Plug in the values:

V = [tex]\pi[/tex](2²)9

V = 36[tex]\pi[/tex] units³

Can someone help me please ☝️

Answers

Answer:

27

Step-by-step explanation:

Those angles are co interior, and thus add up to 180°. So therefore:

(x+72) + 3x = 180

simplified:

4x+72 = 180

so 180 - 72 = 108

4x = 108

x = 27

60 points

Which equation represents a proportional relationship?


A) y = 2 5 x


B) y = 1 3 x + 5


C) y = −3x − 1


D) y = 2x + 0.5

Answers

Answer:

choice A:   y = 25*x

Step-by-step explanation:

A proportional relationship between x and y  would be  y = 25*x

because   y/x = 25  (a constant)

We could say that   y = 2x  + 0.5   can be a proportion relationship,  but not between y and x directly.

y=  2* x  +  2* (1/4)  =  2* (x + 1/4)

and get :    y / (x + (1/4) )  = 2     y  and  (x + (1/4)) are in a proportional relationship,  except it would not be y and x  .

Answer:

A) y = 2 5 x

Step-by-step explanation:

It takes 12.5 mL of a 0.30 M HCl solution to neutralize 285 mL of NaOH solution.

What is the Molarity concentration of the NaOH solution?

13.15 M NaOH

1.5 M NaOH

0.15 M NaOH

0.013 M NaOH

Answers

Answer:

0.013 M NaOH

Step-by-step explanation:

HCL + NaOH = NaCL + water

The mole ratio of acid and base is 1:1

Molarity is equal to the moles of solute divided by the liters of solution

Solute mole = 12.5 × 10^-3 × 0.3

= 0.003075

To neutralize 0.00375mol of HCl, 0.00375 mol of NaOH will be required. Since molarity is moles per liter, divide this amount of moles by the volume in liters:

Molarity = 0.00375/285 × 10^-3

Molarity = 0.0131 M

The molarity concentration of the NaOH solution is 0.013M NaOH

The equation of reaction is given as:

[tex]HCl + NaOH >>>>>> NaCl + H_2O[/tex]

Concentration of Hcl, [tex]C_{Hcl}=0.30M[/tex]

Volume of Hcl, [tex]V_{HCl}=12.5mL[/tex]

Concentration of NaOH = [tex]C_{NaOH}[/tex]

Volume of NaOH, [tex]V_NaOH = 285mL[/tex]

From the equation of reaction:

Number of moles of Hcl, [tex]n_{HCl}=1[/tex]

Number of moles of NaOH, [tex]n_{NaOH}=1[/tex]

The formula for neutralization is given as:

[tex]\frac{C_{HCl}V_{HCl}}{C_{NaOH}V_{NaOH}} = \frac{n_{HCl}}{n_{NaOH}}[/tex]

Substitute the values of the parameters

[tex]\frac{0.30(12.5)}{C_{NaOH}(285)} =\frac{1}{1} \\\\C_{NaOH}(285) = 0.30(12.5)\\\\C_{NaOH}(285) = 3.75\\\\C_{NaOH}=\frac{3.75}{285} \\\\C_{NaOH} = 0.013M[/tex]

The molarity concentration of the NaOH solution is 0.013M NaOH

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Simplify -3/4 ÷ 2/-8. (1 point)

Answers

Answer:

=3/1 or 3

Step-by-step explanation:

-3/4÷2/-8

=-3 × -8/4 × 2

=24/8

=24 ÷ 8/8 ÷ 8

=3/1

pls help will give brainliest and pls give explanation

Answers

Answer:

  -4, 2, 8, 14, 20

Step-by-step explanation:

The rule is called a "position to term" rule. That means the word "position" is being used to identify the location of a term in the sequence. The first term is in position 1, for example. Using the rule that the position is multiplied by 6, then 10 is subtracted, we find the terms to be as follows.

In position 1, the term is ...

  1×6 -10 = -4

In position 2, the term is ...

  2×6 -10 = 2

In position 3, the term is ...

  3×6 -10 = 8

In position 4, the term is ...

  4×6 -10 = 14

In position 5, the term is ...

  5×6 -10 = 20

The first 5 terms are -4, 2, 8, 14, 20.


Which equation best represents the data?
The data in the table represents a company's profit based
on the number of items produced
O
Profit Based on Number of Items Produced
y = -1.026x2 + 1016.402x - 162075
y = -1.036x2 + 1024.771x - 163710
y = 298.214x - 66317.667
y = 196.2x - 18710

Answers

Answer:

Well, Your best answer will be is Y = -1.026x2 + 1016.402x - 162075. Because, When x = 100

y = -1.036x^2 + 1024.771x - 163710

y = -1.036(100)² + 1024.771(100) - 163710

y = -10360 + 102477.1 – 163710

y = -71592.9

Good Luck!

[tex]_{Itsbrazts}[/tex]

The equation best represents the data is : Y = -1.026x² + 1016.402x - 162075.

What is equation?

An equation is a mathematical expression that contains an equals symbol.

As, per the given table

Y = -1.026x² + 1016.402x - 162075.

When x = 100

y = -1.036(100)² + 1024.771(100) - 163710

y = -10360 + 102477.1 – 163710

y = -71592.9

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Allyson has 4.5 pieces of rope to use for a tire swing. If each full piece is 2 2/3 feet long, how much rope does Allyson have in all?

Answers

Answer:

12 feet

Step-by-step explanation:

4.5 pieces of rope = 9/2 pieces in fractions

Also, 2 2/3 can be rewritten as 8/3 in fractions

So, 9/2 *8/3 = 72/6 = 12 feet

Allyson has 12 feet of rope in all.

The history test has 19 questions. There are
true or false questions worth 4 points each
and multiple-choice questions worth 6 points
each. How many multiple-choice questions
are on the 100 point test?

Answers

Answer:

12 multiple choice questions

Step-by-step explanation:

The system of equations is:

m + t = 19 (quantity of questions)

6m + 4t = 100 (point value)

We use elimination to solve.

Multiply everything in the first equation by 4.

4m + 4t = 76.

subtract that from the second equation.

2m = 24

Divide both sides by 2.

m = 12

Answer:

Step-by-step explanation:

Let x be the number of true or false questions.

Let y be the  number of multiple choice questions

Total questions = 19

x + y = 19   ---------------(i)

Total points = 100

4x + 6y = 100  ---------------(ii)

Multiply equation (i) by (-4).

(i)*(-4)            -4x - 4y = -76

(ii)                  4x + 6y = 100   {Now add. thus x will get eliminated}

                            2y = 24

y = 24/2

y= 12

There were 12 multiple choice question

Multiply (2x^2-3x+1)*(x^2-4x-3)

Answers

[tex](2 {x}^{2} - 3x + 1)( {x}^{2} - 4 - 3) = \\ = 2 {x}^{4} - 8 {x}^{2} - 6 {x}^{2} - 3 {x}^{3} + 12x + 9x + {x }^{2} - 4 - 3 = \\ = 2 {x}^{4} - 3 {x}^{3} - 13 {x}^{2} + 21x - 7[/tex]


Which ordered pair could be part of this
function: (2,4), (3,7), (9, 1)?
A (4,1)
B (3,11)
C (2,9)
values
D (9,0)

Answers

Answer:

i dont know answer but a ordered pair is said to be a function if every element of A associates with unique element of B.

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