Rick earned 36 extra credit points. Cindy earned e fewer extra credit points than Rick. Write

Allison and her children went into a bakery where they sell donuts for $2 each and cookies for $1 each. Allison has $20 to spend

KATRIN_1 [288]

Answer:

if donuts are 2 for each and cookies for 1 each it could be

X x 2 and X x 1

one equation could be 4 donuts for 2$ and 7 cookies for 1$

8 0

3 years ago

GIven that GR= x+5 and GP= 2x-3 which expression below calculates the perimeter of this gate? (x+5) + (2x-3) (x+5) + (2x-3) 2(x+

WINSTONCH [101]

Answer:

P = 2(x + 5) + 2(2x - 3)

Step-by-step explanation:

GIven that GR= x+5 and GP= 2x-3 which expression below calculates the perimeter of this gate?

The shape of the gate is rectangular.

Hence, the Perimeter of a rectangle (the gate) = 2L + 2W

Where :

L = GR = x + 5

W = GP = 2x - 3

Hence,the perimeter of the gate is

P = 2(x + 5) + 2(2x - 3)

5 0

3 years ago

Explain with example of why 2^(-8) * 2^(-7) is equal to 2^(-15)

tatyana61 [14]

(-8)*(-7)=(-15)

the 2 in the beginning stays the same, and you multiply what’s in the parentheses to get (-15)

4 0

3 years ago

1. Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the

Sveta_85 [38]

Answer:

#1) y = -4x + 1; #2) parallel; #3) y = -1/2x + 5/2; #4) y = 2x + 4; #5) Never

Step-by-step explanation:

#1) We want a line that passes through (1, -3) and is parallel to y = 2-4(x-1). First we simplify our equation using the distributive property:

y = 2-4(x-1) = 2-4(x) -4(-1) = 2-4x--4 = 2-4x + 4 = -4x + 6

Lines that are parallel have the same slope; this means we want a line through (1, -3) with a slope of -4. Using point-slope form,

$y-y_1=m(x-x_1)\\\\y--3=-4(x-1)\\\\y+3=-4(x)-4(-1)\\\\y+3=-4x+4\\\\y+3-3=-4x+4-3\\\\y=-4x+1$

#2) We must first write our second equation in slope-intercept form by isolating the y term:

2x+y=7

Subtract 2x from each side"

2x+y-2x = 7-2x

y = -2x+7

This means the slope is -2; the slopes are the same, so the lines are parallel.

#3) The slope of our given equation is 2. To be perpendicular, the second line must have a slope that is a negative reciprocal (flipped and opposite signs); this makes it -1/2. Using point-slope form,

$y-0=\frac{-1}{2}(x-5)\\\\y=\frac{-1}{2}(x)+\frac{-1}{2}(-5)\\\\y=\frac{-1}{2}x+\frac{5}{2}$

#4) The slope of Main Street on the diagram, found by using rise/run, is 2. This means the bike path will also have a slope of 2 in order to be parallel. The park entrance is at (0, 4). This makes the equation y = 2x+4.

#5) Two lines with the same slope are always parallel. They are never perpendicular.

3 0

3 years ago

Read 2 more answers

Laura is planning a party for her son. She has $50 dollars remaining in her budget and wants to provide one party favor per pers

enyata [817]

Answer:

The system of inequalities that represents this situation is:

x+y≥10

6x+4y≤50

Step-by-step explanation:

As the statement says that Laura wants to provide one party favor per person to at least 10 guests, the first inequality would indicate that the number of stuffed animals plus the number of toy trucks should be equal or greater than 10:

x+y≥10

Also, the statement indicates that miniature stuffed animals cost $6.00 each and the toy trucks cost $4.00 each and that Laura has $50. From this, you would have an inequality that indicates that 6 for the number of miniature stuffed animals and 4 for the number of toy trucks would be equal or less than 50:

6x+4y≤50

The answer is that the system of inequalities that represents this situation is:

x+y≥10

6x+4y≤50

4 0

3 years ago