What are the next three numbers in the pattern: 2, -4, 6, -8, 10

Solve the equation for y.

Alex17521 [72]

Answer:

y = $\frac{fa - 24}{15}$

Step-by-step explanation:

$\frac{15y + 24}{a}$ = f

multiply both sides by a

(15y + 24) = fa

the parenthesis can be removed

15y + 24 = fa

subtract 24 from both sides

15y = fa - 24

divide both sides by 15

y = $\frac{fa - 24}{15}$

6 0

3 years ago

Four friends ordered a pizza.Christopher ate 1/5, Emma ate 0.27, and Jamie ate the rest.what percent did Jamie eat?

DENIUS [597]

Percent means parts out of 100

so
1/5=0.20
chris+em+jam=100%=1
0.20+0.27+jam=1
0.47+jam=1
minus 0.47 both sides
jam=0.53
jam=53/100
jam=53%

jamie ate 53%

7 0

4 years ago

A rental car company charges $53.75 per day to rent a car and $0.12 for every mile driven. Jaya wants to rent a car, knowing tha

Aliun [14]

Answer:

Jaya can afford to rent a car 4 days while staying within her budget.

Step-by-step explanation:

The inequality would have to indicate that the cost of renting a car has to be less than or equal to $230. The cost to rent a car is equal to the cost per day for the number of days plus the price per mile for the number of miles, which is:

53.75x+0.12y≤230, where:

x is the number of days the car is rented

y is the number of miles driven

As the statement says that she plans to drive 125 miles, you can replace "y" with this value and solve for x:

53.75x+0.12(125)≤230

53.75x+15≤230

53.75x≤230-15

53.75x≤215

x≤215/53.75

x≤4

According to this, the answer is that Jaya can afford to rent a car 4 days while staying within her budget.

5 0

3 years ago

Dilate the the triangle, scale factor = 3 (positive 3, ignore the

HACTEHA [7]

Answer:

The rule of dilation is $P'(x,y) = 3\cdot P(x,y)$ .

The vertices of the dilated triangle are $A'(x,y) = (-21, -18)$ , $B'(x,y) = (-15,-10)$ and $C'(x,y) = (-3,-15)$ , respectively.

Step-by-step explanation:

From Linear Algebra, we define the dilation by the following definition:

$P'(x,y) = O(x,y) + k\cdot[P(x,y)-O(x,y)]$ (1)

Where:

$O(x,y)$ - Center of dilation, dimensionless.

$k$ - Scale factor, dimensionless.

$P(x,y)$ - Original point, dimensionless.

$P'(x,y)$ - Dilated point, dimensionless.

If we know that $O(x,y) = (0,0)$ , $k = 3$ , $A(x,y) = (-7,-6)$ , $B(x,y) = (-5,-2)$ and $C(x,y) =(-1,-5)$ , then dilated points of triangle ABC are, respectively: