Mathematics High School

Solve the system of equations.
2.5y + 3x = 27
5x – 2.5y = 5
What equation is the result of adding the two equations?
What is the solution to the system?

Solve The System Of Equations.2.5y + 3x = 275x 2.5y = 5What Equation Is The Result Of Adding The Two

Answers

Answer 1

Answer:

8x = 32

x = 4

y = 6

Step-by-step explanation:

2.5y + 3x = 27

5x – 2.5y = 5

_____________

8x = 32 (equation obtained after adding the two equations)

x = 32/8

x = 4

Plug x = 4 in 2.5y + 3x = 27

2.5y + 3*4 = 27

2.5y + 12 = 27

2.5y = 27 - 12

2.y5= 15

y = 15/2.5

y = 6

Related Questions

help this is for my friend

Answers

Answer: stop climbing the volcano im jk any way .7-10sec

Three consecutive integers have a sum of 72. Find the integers.

Answers

Answer:The three consecutive integers are 23, 24 and 25

Step-by-step explanation:

23+24+25=72

please help me i do not want to fail my class

Answers

Answer:

sdsdsdsdsdsd

Step-sdsdsdsdsd-step explanation:

Answer:

I think its 11

Step-by-step explanation:

Please can u help me

Answers

Answer: p=8

Step-by-step explanation:

FH ≅ FJ --> diagonals bisect in parallelograms--> rectangle is a form of a parallelogram 4p-22 = p+2 --> Transitivity p = 8 --> Algebra

HELP! !A small pool is being drained. There are 1,320 gallons of water remaining in the pool after 2 minutes and 1,040 gallons after 9 minutes.

Answers

Answer:

35

Step-by-step explanation:

Hi. I need help with these questions.
See age for question.
Answer 11,12

Answers

Answer:

11) k = -112) (i) 4, (ii) 6.5

Step-by-step explanation:

11. ......................................................

Given equationx² + (k - 1)x - k = 0The roots are equalTo findThe value of kSolution

When the roots are equal, the discriminant equals zero

D = 0b² - 4ac = 0

Substituting the values and solving for k:

(k - 1)² - 4*1*(-k) = 0k² - 2k + 1 - 4k = 0k² + 2k + 1 = 0(k + 1)² = 0k + 1 = 0k = -1

12. ......................................................

Given equation2x² - 6x + 1 = 0The roots are α and βTo find

The values of

(i) 2αβ² + 2α²β + 2αβ(ii) α² - 3αβ + β²Solution

The sum  and the product of the roots is:

α + β = - b/a = - ( - 6)/2 = 3αβ = c/a = 1/2

(i)

2αβ² + 2α²β + 2αβ =2αβ ( α + β + 1) = 2(1/2)(3 + 1) =1(4) =4

(ii)

α² - 3αβ + β² =(α + β)² - 5αβ = 3² - 5(1/2) =9 - 5/2 =6.5

How many solutions does the following equation have?
9x - 4 = - 3x + 5 + 12x
O One Solution
O No Solution
O Infinitely Many Solutions

Answers

Answer:

There will be No solution for the equation [tex]9x - 4 = - 3x + 5 + 12x[/tex]. Option B is correct.

Step-by-step explanation:

We need to determine how many solutions the equation [tex]9x - 4 = - 3x + 5 + 12x[/tex] have.

Solving the equation and finding the solutions

[tex]9x - 4 = - 3x + 5 + 12x[/tex]

Combining like terms, Moving 3x and 12x to left side of equality and changing their signs and moving 4 on right side of equation and changing sign.

[tex]9x +3x-12x = 5 + 4[/tex]

Simplifying

[tex]12x-12x = 9\\0=9[/tex]

Solving the equation we get 0=9 which is false. So, there will be No solution for the equation [tex]9x - 4 = - 3x + 5 + 12x[/tex]. Option B is correct.

Help me plz!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The answer is 12, I hope this helps

Answer:

u = 12

Step-by-step explanation:

.................

**IM BEING TIMED XD PLEASE ANSWER**
-Evaluate Function Expressions-

3.f(-4)-3.g(-2)=

Answers

Answer:

3•f(-4) - 3•g(-2) = -27

Step-by-step explanation:

When the graph is evaluated, you will find that

f(-4) = -3, and g(-2) = 6.

Therefore:

3•f(-4) - 3•g(-2) = 3•-3 - 3•6 = -9 - 18 = -27

Solve each Equation using SRP
Follow the examples.
Equation
Solution Set
Correct?
x² = 16
{4,-4}
x2 = 10
{V10,-10)
x² = - 10
No real solutions
x² = 2
{:}
Not yet
x² = 25
{,}
Not yet
x2 = 21
{j}
Not yet
x2 = 30
{,}
Not yet
x² = -30
Not yet

Answers

Answer:

Step-by-step explanation:

{ √2 , - √2 }

{ 5 , - 5 }

{ √21 , - √21 }

{ √10 , - √10 }

No real solutions

-2 ≤ x + 3 ≤ 7

Solve !!

Answers

Answer:

Step-by-step explanation:

-2 <= x + 3

x >= -5

x+3 <= 7

x <= 4

Answer:

x ∈[-5,4]

Step-by-step explanation:

10,24,26 determine whether the triangle is obtuse, right, acute, or not a triangle

Answers

Answer:

right triangle

Step-by-step explanation:

10 + 24 = 34

34 > 26

Therefore, there is a triangle.

Now we use the Pythagorean theorem.

10^2 + 24^2 = 100 + 576 = 676

26^2 = 676

Since 10^2 + 24^2 = 26^2, the triangle is a right triangle.


The average weight of adult females is 166.3 pounds, with a standard deviation of 14 pounds and a normal distribution. Karys weighs 163.2 pounds. What is the standardized score for Karys's weight? (5 points)
-0.22
.22
-0.78
0.78
Unable to determine the standardized score

Answers

Answer:

Standardized score is -0.22

Step-by-step explanation:

Here, we want to calculate z-score

z-score = (x - mean)/SD

z-score = (163.2-166.3)/14 = -0.22

Answer? I’m confused

Answers

The answer is B;
5m + 10

You solve this my using distributive property

Step 1:
Break it apart

5(m) + 5(2)

Step 2:
Use order of operations to solve the rest

5m + 10

a cheetah ran 120 meters in 4 seconds how many meters did it run per second?

Answers

Answer:

30 meters/second

Step-by-step explanation:

120/4 = 30

Originally, Juan borrowed $10, but his mother loaned him $3 more, so he borrowed a total of $13. He sells $25 worth of lemonade in his first week. After Juan pays his mother back the $13 he borrowed, his profit is $12.


If Juan’s mother forgave (or took away) his debt of –13, what equation shows the amount of money Juan will have?

Answers

Answer:

Step-by-step explanation:

10+3+25=

13+25=

38

Answer:

Its c if you have the drop down menu

Step-by-step explanation:

Originally, Juan borrowed $10, but his mother loaned him $3 more, so he borrowed a total of $13. He sells $25 worth of lemonade in his first week. After Juan pays his mother back the $13 he borrowed, his profit is $12.

12(-13)=25 So its c

what's the answer to this question= 4(3x + 2) + 2(x + 3)
A. 12x + 16
B. 24x + 48
C. 10x + 2
D. 14x2 + 48
E. 14x + 14
F. 9x2 + 5

Answers

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{14x + 14}}}}[/tex]

Option E is the best choice.

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

☯ Question : Simplify

4 ( 3x + 2 ) + 2 ( x + 3 )

☯ Available options :

☐ 12x + 16

☐ 24x + 48

☐ 10x + 2

☐ 14x + 48

☑ 14x + 14

☐ 9x + 5

✎ Step - by - step explanation :

[tex] \sf{4(3x + 2) + 2(x + 3)}[/tex]

Distribute 4 through the parentheses

[tex] \dashrightarrow{ \sf{12x + 8 + 2(x + 3)}}[/tex]

Distribute 2 through the parentheses

[tex] \dashrightarrow{ \sf{12x + 8 + 2x + 6}}[/tex]

Combine like terms. Only coefficients of like terms can be added or subtracted

[tex] \dashrightarrow{ \sf{12x + 2x + 8 + 6}}[/tex]

[tex] \dashrightarrow{ \sf{14x + 8 + 6}}[/tex]

Add the numbers : 8 and 6

[tex] \dashrightarrow{ \boxed{ \sf{14x + 14}}}[/tex]

Hope I helped!

Have a wonderful time ツ

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State the slope (m) and the y-intercept (b) for the problem below.
m
4. y=-2x + 4
b =

Answers

Answer:

The slope is -2. The y intercept is 4.

Step-by-step explanation:

it's it's urgent can someone please help me​

Answers

Answer:

1. D

2. F

3. F

4. C

5. F

6. B

Step-by-step explanation:

1. To find the slope, take two points from the table (in this case I'll use points (-3, 7) and (-1, 4)) and put them into the expression: [tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{4-7}{-1-(-3)}[/tex]

Solve:

4 - 7 = -3

-1 - (-3) = -1 + 3 = 2

The slope is -[tex]\frac{3}{2}[/tex]

2. I used the same process I used in number 1 using the points (-2, 4) and

(1, -1)

3. The slope of both equations represents how much each t-shirt was sold for. This means that whichever equation has a higher slope made greater profits. The slope of store B is 3.75 - we know this because the equation given is in y = mx, where m is the slope. To find the slope of store A, use the method I used in question 1 using two points from the graph ( I used points (0, 0) and (10, 40)). The slope of store A is 4, which is greater than 3.75, meaning that Store A made a greater profit per t-shirt.

4. To find the slope and y-intercept of this equation, let's convert the equation to slope-intercept form, y= mx + b, where m is the slope and b is the y-intercept. To do this we have to isolate the y:

y + 9x = -6

Subtract 9x from both sides to isolate the y:

y + 9x - 9x = -6 - 9x

y = -6 - 9x

This equation can also be written as: y = -9x - 6

Now we can see that the slope is -9 and the y-intercept is -6.

5. Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Slope is also known as rise over run. Looking the graph, for every  2 points it decreases on the y-axis, it increases by 1 on the x-axis. This can be written as -2/1, or simply -2. To find the y-intercept, find the point on the graph where the line intersects the y-axis. In this case, it's at y = -1. Now that we know the values of our slope and y-intercept, we can put them into the equation:

y = mx + b

y = -2x - 1

6. The y-intercept represents the amount Alice will have to pay for the game center before she pays for any guests. This value is $100.

What is the slope of the line?
2x-5y=9

Answers

Answer:

m(slope)=2/5

Step-by-step explanation:

y2-y1/x2-x1

Solve for y
-20 = 5v
V=

Answers

Answer:

v=-4

Step-by-step explanation:

-20=5v

-20/5=5v/5

-4=very

please help brainliset, thanks, and five star

Answers

Answer:

15x+30y-220

Step-by-step explanation:

[tex]30(\frac{1}{2}x-2)+40(\frac{3}{4} x-4 )\\\\(15x-60)+(30x-160)\\\\15x+30y-220[/tex]

Your answe will be answer 3

Can someone please answer this for me please??
I honestly do not understand, can someone please help me understand?

Answers

Answer:

15/16

Step-by-step explanation:

Using the order of operations, we need to multiply in the parentheses first...

3/5*25/24=75/120, which simplifies to 5/8.

Next, we need to divide 5/8 by 2/3. To divide, we can actually multiply by the reciprocal, which is flipping the fraction that you are dividing by. In this case, we need to multiply 5/8 by the reciprocal of 2/3. The reciprocal of 2/3 is 3/2, so we need to multiply 5/8 by 3/2.

5/8*3/2=15/16

This is the final answer!

I hope this helped you out!! Have an amazing day φ(゜▽゜*)♪

area of a trapezium​

Answers

Answer:

The area of a trapezium is computed with the following formula: Area = 1 2 × Sum of parallel sides × Distance between them.

Step-by-step explanation:

Hope it help! :)

You didn’t give any numbers so I’ll show you a picture of how to calculate it:)

My math problem went from 10a+15=65 to 10a+15-15=65-15. Explain what happened in this step.

Answers

You subtracted 15 from both sides so you can isolate 10a.

Answer:

You are subtracting 15 from both side to isolate 10 a it would look like this afterwards:

10a=65-15

And you continue to solve

Step-by-step explanation:

Work out the value of the expression 2(a +5b) when a=4 and b=3

Answers

Answer:

38

Step-by-step explanation:

2(4+5(3))

2(4+15)

2(19)

38

Answer:

38

Step-by-step explanation:

2(4+5*3)

2(4+15)

2(19)

38

The triangles in the picture are congruent by which method

Answers

Answer:

ASA

Step-by-step explanation:

The triangles in the picture are congruent by ASA method

The third answer is correct

Hi. I need help with these
See image for question
Answer no 8 ,9 and 10

Answers

Answer:

8) 4 + 2q²/p² - 4r/p + r²/p²9) (3/4, -9/4)10) (3/8, 41/16)

Step-by-step explanation:

8. ============

Given

α and β are roots of px² + qx + r = 0

The sum of the roots is α + β = -q/p, the product of then roots αβ = r/p

(2 + α²)(2 + β²) =  4 + 2(α² + β²) + (αβ)² =4 + 2((α + β)² -2αβ) + (αβ)² =4 + 2((-q/p)² - 2r/p) + (r/p)² =4 + 2q²/p² - 4r/p + r²/p²

------------------------------

9. ============

Given function

y = 2x² - 3x - 1

The minimum point is reached at vertex

The vertex is:

x = -b/2ax = -(-3)/2*2 = 3/4

The corresponding y-coordinate is:

y = 2(3/4)² - 3(3/4) - 1 = 9/8 - 9/4 - 1 = 1/8(9 - 18 - 9) = - 18/8 = - 9/4

So the point is:

(3/4, -9/4)

---------------

10. ============

Given function

y = 2 - 3x - 4x²

The maximum is reached at vertex

The vertex is:

x = -b/2ax = -(-3)/2(-4) = -3/8

The corresponding y-coordinate is:

y = 2 - 3(-3/8) -4(-3/8)² = 2 + 9/8 - 9/16 = 1/16(32 + 18 - 9) = 41/16

So the maximum point is:

(3/8, 41/16)

(For 5th graders)

150 divided by 10

Answers

Answer:

150 divided by 10 is 15

Hope This Helps!

Translate each verbal phrase into an algebraic expression or equation.

1. Seven less than a number
2. The total of 5 and c
3. 7 less than m
4. The sum of a number and 16
5. the score increased by 8 points
6. The quotient of w and 10
7. 17 more than some number
8. $12 less than the original price

Answers

1. Seven minus n
2. 5+c
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