6x - 2y = 10
2x + 3y = 51
Solving the first equation above for y gives:
y =
X-5
DO NE

Answers

Answer 1

Answer:

y = 3x -5

Step-by-step explanation:

6x - 2y = 10

-6x. -6x

Inverse Operations

-2y = -6x + 10

÷-2. ÷-2. ÷-2

y = 3x - 5

Answer 2

Answer:

6x – 2y = 10

2x + 3y = 51

Solving the first equation above for y gives:

   

     y =        (3)     x – 5

Which choice shows the result of substituting

3x – 5 into the second equation for y?

2(3x – 5) + 3x = 51

----------2x + 3(3x – 5) = 51      its B

2(3x – 5) + 3y = 51

Solving the equation 2x + 3(3x – 5) = 51

for x gives x =

---6.

The complete solution to the system is:

----(6,  13)

Step-by-step explanation:


Related Questions

Graph x^3 + 3x^2 − x − 3 = 0. What are the solutions to the equation?



x = −3, x = 0, and x = 1



x = −3, x = −1, and x = 0



x = −3, x = −1, and x = 1



x = −1, x = 1, and x = 3

Answers

Answer:

x = −1, x = 1, and x = - 3

Step-by-step explanation:

hello :

if : x=1      1^3 + 3×1^2 − 1 − 3 =1+3-1-3 =4-4=0......true

if : x=-1     (-1)^3 + 3×(-1)^2 +1− 3 =-1+3.+1-3.=0...true

if : x=3      (-3)^3 + 3×(-3)^2 + 3 − 3 =-27+27+3-3.=0.....true


What is the slope of the line?

Answers

Zero depending on what axis it’s on

Answer:

It is the change in y for a unit change in x along the line.

A restaurant manager wants to know which dish is most popular in his restaurant. Who should the manager survey to best find out what he wants to know? A. employees of the restaurant B. people who eat at his restaurant C. people who eat out at least once a week D. members of his family

Answers

Answer:

B.  People who eat there are likely to return and suggest what is good on the menu to friends and relatives.

what is the answer ​

Answers

Answer:

the answer would be 256 cm squared (the third option)

Step-by-step explanation:

what that person said ^

What is the volume of a rectangular pyramid, with a height of 12 in., length of 10 in., and width of 8 in.?

72 in3

200 in3

320 in3

960 in3

Answers

Answer:

320 in ^3

Step-by-step explanation:

V=B*h/3      where B=10*8=80 and h=12

V=80*12/3=320 in ^3

Find the cosecant of angle t (written as a fraction)

Answers

Answer:~0.9998

Step-by-step explanation: cos T = side adj. to angle t / the hypotenuse

Cos t = 56/65 ~ 0.998

The first company charges 6500 to rent trucks plus an additional fee of 125.50 for each ton of sugar. The second company charges 5597 to rent trucks plus an additional fee of 200.75 for each ton of sugar. For what amount of sugar do the two companies charge the same? What is the cost when the two companies charge the same?

Answers

Answer:

a. 12

b. 8006

Step-by-step explanation:

We have company A, which is determined with the following equation:

A = 6500 + 125.5 * x

where x is the amount of ton of sugar

Same for company B:

B = 5597 + 200.7 * x

We want to know when A = B are equal, therefore:

6500 + 125.5 * x = 5597 + 200.7 * x

200.75 * x - 125.5 * x = 6500 - 5597

75.25 * x = 903

x = 903 / 75.25

x = 12

That is to say that when they are 12 tons of sugar they charge the same.

To know how much the value would be:

A = 6500 + 125.5 * 12 = 8006

B = 5597 + 200.75 * 12 = 8006

That is to say that the value when it is equal is 8006

Johnny has a jar of marbles with the following number of colored marbles in it.

If Johnny randomly pulls out a marble from the jar, what is the is the probability that he will pull out a red marble?

A. 1/4
B.1/5
C.1/3
D.1/6

Answers

Can you state how many marbles there are al together and how many there are of each colour

Solve for x : 2x−3 = 5

Answers

Answer:

x=4

Step-by-step explanation:

2x-3=5

Add 3 to both sides

2x=8

divide both sides by 2

x=4

[tex]2x - 3 = 5 [/tex]

[tex]2x = 5 + 3 [/tex]

[tex]2x = 8[/tex]

[tex]x = 8 \2( transposing known value to one side to get the value of x)[/tex]

[tex]x = 4(bringing it to lowest term)[/tex]

Give the sum of 1/2 and 8/12 in simplest form

Answers

Answer:

7/6

Step-by-step explanation:

sum of 1/2 & 8/12 = 1/2 + 8/12

= 7/6

hope this help you !! ;))))

I am thinking of two unique whole numbers
Their sum is 12
The larger number is even
Twice the smaller number less than the larger number equals 6

Answers

Answer:

10 and 2

Step-by-step explanation:

10+2=12

10 is even

2*2=4  10-4+6

Hope this helps ! :)

how do I do this math question? Full working/explanation. ​

Answers

Answer:

50g sugar, 100g butter and 400g flour

Step-by-step explanation:

You need to find the ingredient that is the limiting factor, in this case it is flour, because you relatively need the most of that.

If all 400g flour is used, you need 4 times less grams of butter, since the ratio between butter and flour is 2 : 8 and they differ by a factor of 4.

That gets you 400/4 = 100g butter, so in fact you're not using 200g of the remaining butter.

Likewise, you'll need 400 / 8 grams of sugar, which is only 50g.

So at least one of the ingredients you'll completely use, the other ones you need less according to the ratio.

What is the range 0 -9 -9 -6 -4 -7 -5 -3

Answers

Answer:

9

Step-by-step explanation:

put in order least to greatest

-9 -9 -7 -6 -5 -4 -3  0

9-0=9

range cannot be negative because it is the space between numbers and distance cannot be negative

Answer: The range is 9.

evaluate the following function is f(x)=3x-2 and g(x)=5x+1 what is -2•f(4)+3•g(1)

Answers

Answer:

work is shown and pictured

Please help, I’m so desperate for this answer. I’ve been here for two hours and no one wants to help :/ (find x)

Answers

Answer

i can't see the image can you post it again.

Step-by-step explanation:

Answer:

29 + 64 =x which is 93 for question 2

Step-by-step explanation:


can you please help me fill this out thanks

Answers

For perimeter you just add the sides up, so 15+12+9 which = 36

Answer:

i believe the perimeter is 36 im sorry if its not correct

Step-by-step explanation:

simple adding

can you please help me fill this out thanks

Answers

Answer:

30 mm

Step-by-step explanation:

There are 4 sides to this parallelogram. Two of the sides have 3 mm as the length and the other two have 12 mm.

         2 (3 mm) + 2 (12 mm)

         = 6 mm + 24 mm

         = 30 mm

Answer:

30

Step-by-step explanation:

Since the long side that is blank is the same length of 12 and the short side is the same length of 3.

12+12=24

3+3=6

24+6=30

A cylindrical-shaped mug has a diameter of 8 centimeters and a height of 10 centimeters. What is the volume of the mug? Use 3.14 for pi. *
A. 1256 cubic centimeters
B. 502.4 cubic centimeters
C. 2512 cubic centimeters
D. 2009.6 cubic centimeters

Answers

Answer:

C. 2512

Step-by-step explanation:

First,you do

3.14 x 10 x 8

25 12 cubic centimeters

By using the formula for the volume of a cylinder, we will see that the volume of the mug is 502.4 cm^3

How to get the volume of the mug?

For a cylinder of radius R and height H, the volume is:

V = pi*R^2*H

In this case, we know that H = 10cm, and the diameter is 8cm, then the radius is half of that:

R = 8cm/2 = 4cm

Replacing that in the volume equation we get:

V = 3.14*(4cm)^2*10cm = 502.4 cm^3

So the correct option is B.

If you want to learn more about volume, you can read:

https://brainly.com/question/1972490

What’s the value of x?

Answers

Answer:

19

Step-by-step explanation:

In any triangle, the sum of the measures of the angles is 180 degrees.

(5x + 5) + (x + 16) + (2x + 7) = 180

Combine like terms.

8x + 28 = 180

8x = 152

x = 19

What does the expression n+3 represent??

Answers

Answer:

(?) +3

Explanation:

it would be whatever N equals then add 3

helpppppppppppppppppppppppppp again 2

Answers

Answer:

500

Step-by-step explanation:

The median is the middle point of the box

Answer:

500

Step-by-step explanation:

The median is the point in the middle of the box.

what is the fraction, 64/388 simplified?

Answers

Answer:

the answer is 16/97

Which ratio is equivalent to 7:3 =

Answers

Answer:

i think 14:6 is correct but im not too sure

Answer:

[tex]\frac{7}{3}=\frac{7n}{3n}[/tex]

n ∈ Z

[tex]\frac{7*(-5)}{3*(-5)}=\frac{7*(-2)}{3*(-2)}=...=\frac{7*8}{3*8}=...=\frac{7*1256}{3*1256}...etc[/tex]

AN EQUATION AND AN EQUALITY BOTH ALWAYS HAVE ONLY ONE SOLUTION?


TRUE


FALSE

Answers

The answer is false

Hope this helps :)

Answer:

False

Step-by-step explanation:

Both sides can end up unequal, and by that you end up with two solutions. Hope that this helps you and have a great day :)

the weather report stated there is a 2/3 chance of rain Wednesday, but is more likely to rain on thursday than on Wednesday.

What is the probability of rain on Thursday?

Answers

Answer:

Any number over 66%, but less than (or equal to) 100%

Step-by-step explanation:

The probability of rain on wednesday is 66.6666% and if it is more likely to rain on thursday, thursday would have to be any number over 66.666%. The probability also has to stay below or equal to 100%.

what is two-thirds of 3 and3/4

Answers

Answer:

2.5

Step-by-step explanation:

2/3 *(3+3/4)=2.5

Answer:

[tex]\frac{5}{2}[/tex] or [tex]2\frac{1}{2}[/tex] or 2.5

Step-by-step explanation:

[tex]\frac{2}{3}*3\frac{3}{4}[/tex]

Convert [tex]3\frac{3}{4}[/tex] to an improper fraction. You can do this by multiplying the whole number by the denominator and add the numerator; all of this over the same denominator.

[tex]3\frac{3}{4}=\frac{3*4+3}{4} =\frac{12+3}{4} =\frac{15}{4}[/tex]

Now work it out.

[tex]\frac{2}{3}*\frac{15}{4}=\frac{30}{12}=\frac{15}{6}=\frac{5}{2}[/tex]

In case you need a mixed number as the answer, we can convert from improper fraction to mixed number.

5/2=2

4

----

1

the 2 after the equal sign is the big number, the 1 is the numerator and the 2 before the equal sign in the denominator.

[tex]2\frac{1}{2}[/tex]

Traci tries to teach her younger sister how to draw a rectangle. Traci tells her." Draw a shape with four straight sides." Traci sister draws the shape shown. The drawing of the shape includes 4 straight sides, but it is not a rectangle. How can Traci make her directions more clear?

Answers

Answer:

Traci could say draw 2 long parellel sides one on top of another. Then draw 2 smaller sides to connect the long sides.

Step-by-step explanation:

You start with $1000 and every day you will receive the previous day’s total plus an additional $1000 a day for 30 days. How much money will you have after 30 days?

Answers

Answer:

496000$

Step-by-step explanation:

Write an equation for the following:

A number increased by 6 is 22.

Solve your equation (show steps) to find the number.

Answers

Answer:

16

Step-by-step explanation:

Equation: x + 6 = 22
Steps: x + 6 = 22
-6 -6
x = 16

Oblicz objętość graniastosłupa o wymiarach podanych na rysunku

Answers

Answer:

In the image attached you can observe that we have three prism, we need to find their volumes. Remember, the volume of any prism is the product between its base-area and its height.

(a)

This is a trapezoidal prism, which is defined as

[tex]V_{a}=\frac{(B+b)h_{1} }{2} \times h_{2} \\ V_{a}=\frac{(12+9)4}{2} \times 16\\ V_{a}=42 \times 16 = 672 \ cm^{3}[/tex]

(b)

This is a triangular prism, which is defined as

[tex]V_{b}=\frac{1}{2} b \times h_{1} \times h_{2}\\ V_{b}= \frac{1}{2} \times 36 \times 25 \times 53\\ V_{b}=23,850 \ cm^{3}[/tex]

(c)

In this prism, 6 decimeters are equivalent to 60 centimeters. It's volume is defined as

[tex]V=\frac{1}{2} \times 48 \times 60 \times 80 = 115, 200 \ cm^{3}[/tex]

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