Mathematics High School

The sum of two numbers is 0. Twice the smaller number subtracted from 3 times the larger number is 10. Let x represent the larger number and y represent the smaller number. Which equations represent this situation?

Answers

Answer 1

Answer:

y= -x

y= 3/2 -5

Step-by-step explanation:

The sum of two numbers is zero.

x + y = 0

y = -x

Twice the smaller number subtracted from 3 times the larger number is 10.

Let x represent the larger number and y represent the smaller number.

Twice the smaller number: 2y

3 times the larger number: 3x

Twice the smaller number subtracted from 3 times the larger number is 10.

3x - 2y = 10

-2y = -3x + 10

y = 3/2 x - 5

The equations are:

y = -x

y = 3/2 x - 5

Hope I helped (p.s. maybe brainliest)

Answer 2

Answer:

A )

y = -x

y = 3/2 x - 5

Step-by-step explanation:

trust me

Related Questions

A quadrilateral has vertices at (1.4).
(7,3), (3, -5), and (8,4). The
quadrilateral is dilated by a scale
factor of 3.5 with the origin as its
center. What are the coordinates of
the vertices of the image of the
quadrilateral?

Answers

Given:

A quadrilateral has vertices at (1,4), (7,3), (3, -5), and (8,4).

The quadrilateral is dilated by a scale factor of 3.5 with the origin as its center.

To find:

The coordinates of the vertices of the image of the quadrilateral.

Solution:

If a figure is dilated by a scale factor k with origin as it center, then

[tex](x,y)\to (kx,ky)[/tex]

It is given that the quadrilateral is dilated by a scale factor of 3.5 with the origin as its center. So, the rule of dilation is

[tex](x,y)\to (3.5x,3.5y)[/tex]

Using this rule, we get

[tex](1,4)\to (3.5(1),3.5(4))[/tex]

[tex](1,4)\to (3.5,14)[/tex]

Similarly,

[tex](7,3)\to (3.5(7),3.5(3))[/tex]

[tex](7,3)\to (24.5,10.5)[/tex]

[tex](3,-5)\to (3.5(3),3.5(-5))[/tex]

[tex](3,-5)\to (10.5,-17.5)[/tex]

And,

[tex](8,4)\to (3.5(8),3.5(4))[/tex]

[tex](8,4)\to (28,14)[/tex]

Therefore, the coordinates of the vertices of the image of the quadrilateral are (3.5,14), (24.5,10.5), (10.5,-17.5), (28,14).

Item 5
How many meters are in 8 kilometers?

80 meters

800 meters

8,000 meters

80,000 meters

Answers

8,000 meters in 8 kilometers

Find the value of x in the picture below.

Answers

The answer is c because

Kara has 10 books on a shelf and decides to move 3 of them to an empty shelf. In how many different ways can the empty shelf be filled?

Answers

The empty shelf can be filled in 120 ways

The total number of books is

[tex]n = 10[/tex]

The number of books to move is:

[tex]r = 3[/tex]

To fill the empty shelf with three books, we make use of the following combination formula

[tex]^{n}C_r = \frac{n!}{(n - r)!r!}[/tex]

So, we have:

[tex]^{10}C_3 = \frac{10!}{(10 - 3)!3!}[/tex]

Evaluate the expression

[tex]^{10}C_3 = \frac{10!}{7!3!}[/tex]

Expand

[tex]^{10}C_3 = \frac{10 \times 9 \times 8 \times 7!}{7! \times 3\times 2 \times 1}[/tex]

Cancel out the common factors

[tex]^{10}C_3 = \frac{10 \times 9 \times 8}{3\times 2 \times 1}[/tex]

Evaluate the products

[tex]^{10}C_3 = \frac{720}{6}[/tex]

Divide

[tex]^{10}C_3 = 120[/tex]

Hence, the empty shelf can be filled in 120 ways

Answers

Answer:

p<70

Step-by-step explanation:

Answer:

p < 70

Step-by-step explanation:

2(10 + p) - 20 < 140

20 + 2p - 20 < 140

2p < 140

p < 70

During seventh grade Athletics 34 of the 87 girls are in off season lifting weights what are the what percentage of the girls are not lifting weights?

Answers

Answer: 61% or exactly 60.9%

Step-by-step explanation:

if 34 are lifting weights then 53 (87-34) are not lifting weights and the percentage of 53/87 is 61%

4y^2+20y+25
Factor the polynomial completely

Answers

Answer:

(2y+5)^5

Step-by-step explanation:

Use the "PERFECT SQUARE RULE"

Select all relations that represent a function.
A.
{(–4, 3),(–2, 4),(0, 1),(–4, –1)}

B.
{(5, 7),(2, 7),(9, 7),(8, 0)}

C.
{(3, 11),(–4, 5),(3, –1),(0, 0)}

D.
{(8, 0),(1, 4),(9, 4),(7, 8)}

E.
{(–5, 4),(–4, 3),(–3, 2),(–2, 1)}

F.
{(0, 0),(–1, 3),(–1, –1),(0, 5)}

Answers

Answer:

Hi! The answer to your question is B, D, and E

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

Step-by-step explanation:

because the other answers do not have a function A,B,C,E, and f are not a function because the numbers are repeating in the same axis

im highly confused /////

Answers

the correct answer is cos 45 because it’s .5 :)

11. Given isosceles trapezoid ABCD with bases 6 and 16 and legs 13.
16
Find the height
17 Find the area

Answers

Answer:

round window has a radius of 18 inches. what is the circumference and approximate qrea of the window circumference What is the area of this figure?

Drag and drop the appropriate number into the box.

A =