All categories

3 years ago

An equivalent expression for 4(x+2)+5(y+3)

Mathematics

1 answer:

Anit [1.1K]3 years ago

7 0

Answer:

4x+5y+23

Step-by-step explanation:

4(x+2)+5(y+3)

4x+8+5y+15

4x+5y+8+15

4x+5y+23

You might be interested in

Jeremy is cutting a board into pieces that are 1 2/3 feet long . The board is 14 1/4 feet long . How many 1 2/3 -feet long piece

Solnce55 [7]

Answer:

Total number of 1 2/3 feet long pieces that will be cut=8 pieces

Step-by-step explanation:

This can be expressed as;

Total length of the board=length per piece×number of pieces

where;

Total length of board=14 1/4 feet

Length per piece=1 2/3 feet

Number of pieces=n

Replacing;

14 1/4=1 2/3×n

(57/4)=(5/3)n

n=(57/4)×(3/5)=8.55

Total number of 1 2/3 feet long pieces that will be cut=8 pieces

7 0

3 years ago

Read 2 more answers

K is the midpoint of PQ, P has

Pachacha [2.7K]

Answer:

Coordinates of Q $(x_2,y_2) \:are\: \mathbf{(7,16)}$

Option D is correct option.

Step-by-step explanation:

We are given:

K is the midpoint of PQ

Coordinates of P = (-9,-4)

Coordinates of K = (-1,6)

We need to find coordinates of Q $(x_2,y_2)$

We will use the formula of midpoint: $Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

We are given midpoint K and $x_1,y_1$ the coordinates of P we need to find $x_2,y_2$ the coordinates of Q.

$Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\(-1,6)=(\frac{-9+x_2}{2},\frac{-4+y_2}{2})\\$

Now, we can write

$-1=\frac{-9+x_2}{2}, 6=\frac{-4+y_2}{2}\\Simplifying:\\-2=-9+x_2\:,\: 12=-4+y_2\\-2+9=x_2\:,\: 12+4=+y_2\\x_2=7\:,\:y_2=16$

So, we get coordinates of Q $(x_2,y_2) \:are\: \mathbf{(7,16)}$

Option D is correct option.

6 0

3 years ago

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unkno

makkiz [27]

Step-by-step explanation:

Hey, there!!

Here, one point is A(10,8) and P(8,5) is the midpoint.

Let B(x,y) be the another end point.

Now,

Using midpoint formulae,

$p(x.y) = \frac{x1 + x2}{2} . \frac{y1 + y2}{2}$

$p(8.5) = ( \frac{10 + x}{2} . \frac{8 + y}{2} )$

Since they are equal,equating with their corresponding elements we get,

$8 = \frac{10 + x}{2}$

or, 16 = 10 + x

or, x=16-10

Therefore, x = 6

Now,

$5 = \frac{8 + y}{2}$

or, 10 = 8 + y

or, y = 2

Therefore, The coordinates of another point are B(6,2)

Hope it helps .....

8 0

4 years ago

Bob finishes his supper at 6:30 P.M. Then he studies for 55 minutes and spends 35 minutes playing video games before he watches

Kitty [74]

He watches TV at around 8:00 P.M., though it could be any other time around the world.

4 0

3 years ago

Find all solutions of the given system of equations and check your answer graphically. hint [see examples 1-4.] (if there is no

zlopas [31]

x − y = 0 = difference

x + y = 4 = sum

Can be solved by the sum and difference rule (most of the time without pen and paper)

x=(sum+difference)/2=0+4/2=2

y=(sum-difference)/2=(4-0)/2=2

6 0

3 years ago