1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
butalik [34]
2 years ago
8

2x + y = 15 x + y = 10​

Mathematics
1 answer:
Artyom0805 [142]2 years ago
3 0

Answer:

2x+y=15x+y=10

Consider the first equation. Subtract 15x from both sides.

2x+y−15x=y

Combine 2x and −15x to get −13x.

−13x+y=y

Subtract y from both sides.

−13x+y−y=0

Combine y and −y to get 0.

−13x=0

Divide both sides by −13. Zero divided by any non-zero number gives zero.

x=0

Consider the second equation. Insert the known values of variables into the equation.

15×0+y=10

Multiply 15 and 0 to get 0.

0+y=10

Anything plus zero gives itself.

You might be interested in
Match the numbers in standard notation with the corresponding numbers in scientific notation.
ankoles [38]

Answer:

a) 864,000,000,000      8.64E11

b) 8,640,000,000           8.64E9

c) 86,400,000,000,000     8.64E13

d) 864,000,000,000,000    8.64E14

Step-by-step explanation:

A scientific notation is a way to represent very large values into the decimal form.

Steps to write in scientific notation:

Move the decimal to left before first digit of the given number.

Find the number of times decimal is moved to left.

Put that number in the exponent of e.

So, matching:

a) 864,000,000,000      8.64E11

b) 8,640,000,000           8.64E9

c) 86,400,000,000,000     8.64E13

d) 864,000,000,000,000    8.64E14

8 0
3 years ago
GIVING BRAINILEST-
Nutka1998 [239]

Answer:

To construct a dilation, we need the center of dilation, which is the point from which we make the image smaller or larger. We also need a scale factor, which is the number that determines how large or small we are making the new image. If the scale factor is greater than 1, we have an enlargement, because the new image will be larger than the original image. If the scale factor is less than 1, we have a reduction because the new image will be smaller than the original image.

Enlargement

Step-1

Let's dilate triangle PQR by a scale factor of 2 with a center of dilation at point C.

Step-2

First, we will use a straightedge to connect the center of dilation C to each vertex. We are going to extend those lines across the whole page.

Step-3

Next, we'll place the point of the compass on the center of dilation C and the pencil on vertex Q and measure that distance.

Step-4

Now, without changing the size of the compass, we will move the point of the compass to vertex Q, and make a mark on the line that is extended through Q.

Step-5

Notice that since we measured the distance from C to Q and then used that same distance to mark the line, we have now created a new point that is twice the distance from C that Q was.

We now repeat the process for each of the other vertices of the triangle.

Step-6

These marks represent the vertices of our dilated image. We often use the same letters with an apostrophe to show that it is the corresponding vertex.

Step-7

Finally, we use the straightedge to connect all of the new vertices.

Now,See how triangle P

′

Q

′

R

′

is twice the size of the original triangle.

Reduction

Step-1

Given triangle PQR, now let's dilate the image with a center of dilation at C and with a scale factor of

2

1

Step-2

Using the straightedge, we will connect all of the vertices to the center of dilation C. In this case, since our scale factor is less than 1, we are reducing the size of the triangle.

Step-3

The green lines are the new lines that we have drawn.

Since we have to reduce the size of the triangle by half, we want to cut the distance in half from each vertex to the center of dilation. In order to do this, we will set our compass to a distance that is more than halfway between vertex P and point C but less than the total distance.

Step-4

Keeping the compass at that same distance, start with the point of the compass on vertex P, then draw a curve that intersects the line between P and C. Next, keeping the compass at the same distance, place the point of the compass on C and draw a curve that intersects the line between P and C and intersects the previously drawn curve.

Step-5

Now, we will take the straightedge and connect the points where the curves overlap.

4 0
2 years ago
If 24 marbles have a mass of 60g what would be the mass of 60 marbles
blondinia [14]

Answer:

300 g

Step-by-step explanation:

First divide the mass of those 12 marbles (60 g) by the number of marbles which have 60 g mass (12 marbles). You'll get  the answer as 5 g , which means 5 g is the mass of 1 marble. Now multiply the answer by 60 (specification of marbles). You'll have the answer as 300 g.

i.e.

60 / 12 = 5

5 x 60 = 300

7 0
3 years ago
PLEASE HELP ME SEE IF MY ANSWERS ARE CORRECT!!!!!!!
Lena [83]
So first one
'how many solutions does 2x-y=-5 and 2x+y=5 have?'
add and get
2x-y-5
plus
2x+y=5

equals
2x+2x+y-y=5-5
4x=0
x=0 always
solve for y
4(0)+y=5
y=5
the solution is (0,5)
only <u>ONE </u>solution






one way is to subsitute
just remember that it is in (x,y) form so
the pont (1,2) means that 1 solution is x=1 and y=2 so subsitute and find that
the first one is the answer you are correct





just look at the graph
the solution is the intersection
it seems to be at a point that is 3 units to the right and -6 units up (6 units down)
so the solution is (3,-6)
yo are corect








subsitution
y=y
therefor
the answe ris (-4,-14) if you did the math correctly











#8 is correct

# 9 is correct




# 10 the answe ris bananas=0.40 pears=0.60


the  last one you got it wrong, remember to check your answer to the graph for commonsense
then answer is (-2,5) and (1,2)
8 0
3 years ago
18 necklaces made in 3 hours
STatiana [176]
18 necklaces in 3 hours

18/3 = 6

6 necklaces in 1 hour

hope this helps
5 0
3 years ago
Read 2 more answers
Other questions:
  • Naomi works in a music shop and earns $42 per day. She earns an extra $2 for each CD she sells. If Naomi wants to earn at least
    5·2 answers
  • Adjust point D so the measure of angle BAD is equal to the measure of angle CAD. Which statements are true? Check all that apply
    10·2 answers
  • Which ordered pair is not a solution of y=-12x-3?
    13·1 answer
  • Hi guys... I'm a foreigner... I've completed my high Schools...nd I'd like to know what should I do to get into MIT? Help me
    15·1 answer
  • Let set A={1, 2} and B be {3,4} then AX B (Cartesian product of set A and B) is a) {1,2,3,4} b) {(1,3).(2,4)} c) {(1,3), (2, 4),
    10·1 answer
  • Sam borrows money from his brother to buy a new video game. He agrees to pay his brother back the full amount of the loan, plus
    8·1 answer
  • What is the area of 1 section of this circle?
    10·1 answer
  • The number 77 is decreased to 16. What is the percentage by
    10·1 answer
  • Which function is graphed below?
    11·1 answer
  • 1/3p multiplied by 9q is what?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!