MATHEMATICS MIDDLE SCHOOL

Solve for x and y x+y=15 x+2y=23

Answers

Answer 1

Answer:

Answer:

x=7, y= 8

Step-by-step explanation:

x+y=15

x+2y=23

Subtract the first equation from the second equation to eliminate x

x+2y=23

-x-y=-15

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

y = 8

Now we can find x

x+y = 15

x+8 = 15

Subtract 8 from each side

x+8-8=15-8

x = 7

Related Questions

What's 12p+5pd-3p+6pd
A board is cut into 10 equal pieces.how many pieces together represent 3/5 of the board?explain how you arrived at your answer.
Given parallelogram E F G H with diagonals that intersect at point J comma segment E J is congruent to which segment?
Larry is given the expression 4058 divided by 54 to evaluate. What is the greatest place value in the quotient? Find the quotient?
Sharon wants to make a graph yo show the relationship between the number of tickets sold and the price of tickets sold. she plots the following points:(0,0), (1, 20), (2, 40), (3, 60), (4, 80) she uses the following steps to plot the graph: 1. label orgin as (0,0). 2. on x-Axis, label number of tickets sold 3. on y-axis, label price of tickets in dollars 4. the scale on x-axis starts from 0 and goes up to 10 at intervals of 2 5. the scale on the y-axis starts from o and goes up to 200 at intervals of 20. which of the following best describes the graph? a. it will not be spread out across the entire coordinate plane because in step 1, sharon selected an incorrect point as the origin. b. it will not be spread out across the entire coordinate plane because in step 2, sharon plotted the dependent variable on the x-axis c. it will not be spread out across the entire coordinate plane because in step 3, sharon plotted the independent variable on the y-axis. d. it will not be spread out across the entire coordinate plane because in step 4 and step 5, sharon selected incorrect scales on the axes.

A triangular pyramid has a height of 18 yards and base with an area of 330 square yards. What is the volume of the pyramid?

Answers

slove by using the formula of volume of pyramid

Final answer:

The volume of the triangular pyramid is 1980 cubic yards.

Explanation:

To find the volume of a triangular pyramid, we need to multiply the area of the base by the height and divide the result by 3. In this case, the base has an area of 330 square yards and the height is 18 yards.

So, the volume of the pyramid is given by:

Volume = (Base Area * Height) / 3

Plugging in the values, we get:

Volume = (330 * 18) / 3 = 1980 cubic yards.

Learn more about Volume of a triangular pyramid here:

brainly.com/question/21864491

#SPJ12

1/2(4x-9)=2x+8A.
exactly one real solution,

B.
no real solutions
C.
infinite real solutions

D.
exactly one real solution,

Answers

Let us first try and solve this equation to see how many solutions are for this equation.

We need to have x on one side of the equation and everything on the opposite side of x.

1/2(4x - 9) = 2x + 8 ; Start
2x - 4.5 = 2x + 8 ; Distribute the 1/2 across 4x and -9
2x = 2x + 12.5 ; Add 4.5 to each side of the equation
0 = 12.5 ; Subtract 2x from each side of the equation

As we can clearly see, this equation has 0 answers.

What is
$q - 5 \leqslant -2$

Answers

q - 5 ≤ -2 |+5

q ≤ 3

Look at the picture

An 8 inch pizza is cut into 4 equal slices. A 10 inch pizza is cut into 6 equal slices.Which slices are larger?

Answers

the 8 inch one
8/4=2
10/6= approx 1.66666666666666

they 8 inch pizza. It sounds as though the 10 inch one is, but it actually isn't. The 8 inch pizza has bigger slices because it is sliced into 4 pieces.

The price of a laptop computer decreased from $475 to $275 during a clearance sale. What is the percent of decrease in the price?Round to the nearest percent, if necessary.

A.
42%

B.
31%

C.
59%

D.
73%

Answers

200/475 x 100 = 42.1%

So the answer is A

Which of the numbers below are some potential roots of p(x) 36x2 -7x-60 according to the rational root theorem?

Answers

Answer:

$\pm 1,\pm 2,\pm 3,\pm 4,\pm 5,\pm 6,\pm 10,\pm 12,\pm 15,\pm 20,\pm 30,\pm 60,\pm (1)/(2),\pm (3)/(2),\pm (5)/(2),\pm (15)/(2),\pm (1)/(3),$

$\pm (2)/(3),\pm (4)/(3),(5)/(3),\pm (10)/(3),\pm (20)/(3),\pm (1)/(3),\pm (2)/(3),\pm (4)/(3),\pm (5)/(3),\pm (10)/(3),\pm (20)/(3),\pm (1)/(4),\pm (3)/(4),\pm (5)/(4),$

$\pm (15)/(4),\pm (1)/(6),\pm (5)/(6),\pm (1)/(9),\pm (2)/(9),\pm (4)/(9),\pm (5)/(9),\pm (10)/(9),\pm (20)/(9),\pm (1)/(12),\pm (5)/(12),\pm (1)/(18),\pm (5)/(18),\pm (1)/(36)$

Step-by-step explanation:

The given polynomial is

$p(x)=36x^2-7x-60$

We need to find the potential roots of given polynomial according to the rational root theorem.

According to the rational root theorem, the potential roots are

$x=\pm (p)/(q)$

where, p is a factor of constant term and q is the factor of leading term.

In the given polynomial constant term is -60 and leading term 36.

Factors of 60 are ±1,±2,±3,±4,±5,±6,±10,±12,±15,±20,±30,±60.

Factors of 36 are ±1,±2,±3,±4,±6,±9,±12,±18,±36.

Now, the potential roots are

$\pm 1,\pm 2,\pm 3,\pm 4,\pm 5,\pm 6,\pm 10,\pm 12,\pm 15,\pm 20,\pm 30,\pm 60,\pm (1)/(2),\pm (3)/(2),\pm (5)/(2),\pm (15)/(2),\pm (1)/(3),$

$\pm (2)/(3),\pm (4)/(3),(5)/(3),\pm (10)/(3),\pm (20)/(3),\pm (1)/(3),\pm (2)/(3),\pm (4)/(3),\pm (5)/(3),\pm (10)/(3),\pm (20)/(3),\pm (1)/(4),\pm (3)/(4),\pm (5)/(4),$

$\pm (15)/(4),\pm (1)/(6),\pm (5)/(6),\pm (1)/(9),\pm (2)/(9),\pm (4)/(9),\pm (5)/(9),\pm (10)/(9),\pm (20)/(9),\pm (1)/(12),\pm (5)/(12),\pm (1)/(18),\pm (5)/(18),\pm (1)/(36)$

Answer:

This expression can not be factored with rational numbers.

The polynomial is not factor able with rational numbers.

Step-by-step explanation:

Other Questions

I have 7th grade common core test coming up tomorrow and I have fallen so far behind. Can someone give me some (hopefully many) tips for it?

A picture frame consists of two rectangular strips of wood, each having a width of 1 inch on all sides. If the area of the inner light gray strip is 100 in^2, then compute the area of the outer dark gray strip in square inches.

Can u please answer the question

What is the value for x?Enter your answer in the box.x = ?