Ingrid is 3 times as old as Ernest. The sum
of their ages is 24. This is represented by the
equation e + 3e = 24, where e is Ernest's age.
How old is Ernest?
-
D. 21
C. 12
A. 3.
B. 6

Answer:

1 hr, 48 minutes

Step-by-step explanation:

you can create a proportion:

doughnuts/hours = doughnut/hours (h)

1500/9 = 300/h

cross-multiply to get:

1500h = 2700

h = 27/15

h = 1 12/15, which is 1 hr, 48 minutes because 12/15 = 48/60

Answer:

D) 16

Step-by-step explanation:

TE=8

TE is half of FE, meaning that FE is equal to double TE.

8x2=16

Hope this helps :)

Answer:

Since it is symmetrical, the angles will be the same on both sides.

So EFG = 56*

And 180* - 56* = 124*

And 124* / 2 = 62*

So m<FEG = 62*

Answer:

D- 62

Step-by-step explanation:

Answer:

the slope is -5x

Step-by-step explanation:

y=mx+b

m= slope

b= y-int

x= vairable

y= answer

Answer:

(-1,-1) I think

Answer:

9

Step-by-step explanation:

99 : 66 ( divide both parts by 11 )

= 9 : 6

Answer:

12

Step-by-step explanation:

while f(x) = f(-1) then we can solve the equation

Y=-3(x-4)+3x

f(x)=-3(x-4)+3x

f(-1)=-3(x-4)+3x

=-3((-1)-4)+3(-1) = 12

Y=12

Answer:

128

Step-by-step explanation:

8×8 = 64

8×4 = 32

8×4 = 32

64 + 32 + 32 = 128

Answer:

c) (1,-1)

Step-by-step explanation:

I hope this helps

Answer:

A:Tina's. B: Gabby's

Step-by-step explanation:

Luckly the two people are using the same unit to measure both time (in weeks) and height (in inches), so no conversion needed.

At this point, let's start dealing with the questions.

A. They bought the plants at week 0.

For Tina, we calculate [tex]f(0) = 0+1.5 = 1.5[/tex]

For Gabby, we scout the table till we find week 0 and check the corrisponing value: it's (0; 1) Since 1 is smaller than 0, at start Tina plant was taller.

B. The easiest way would be to stare at Gabby's table for a bit, and notice that each increase is 2 more than the previous, and the progression starts at 1. We can write it as an equation as [tex]g(x) = 2x+1[/tex]. If you confront with Tina's growth, you can tell that Gabby's plant grows twice as fast - the slope is double. Else, you can see that even just after one week, Tina's plant will be 2.5 in tall, while Gabby's outgrew hers already. That's possible only if the plant is growing faster.

Answer:

20, 35, 50

Step-by-step explanation:

Answer:

for the die it's a 4 to 6 chance and the coin is a 50% chance

Step-by-step explanation:

12x=6-3

12x=3

12x/12=3/12

x=1/4

4x+1=2

4x=2-1

4x=1

4x/4=14

x=1/4

I you have great day

Answer:

The name given to the shaded region would be the positive interval because all f(x) values in that region are positive.

Answer:

7 : 6 is the ratio

Step-by-step explanation:

14 apples were green and 12 apples were red, so divide both terms by 2.

14 ÷ 2 = 7

12 ÷ 2 = 6

Therefore:

14 : 12 = 7 : 6.

Answer:

100 + 100 + 30 + 30 + 30 + 30 = 320 cm^3

Answer: Answer is B

Step-by-step explanation:  

102.3 divided by 23.8 = 4.30 = 4

Answer:

For (a)

Well let “x” be amount of sales

And let ”y” be total pay

so 1200 is the base pay/ weekly

And a 5 percent commission on amount of sales

5 percent can be written as 0.05

Now we can make an equation

1200+0.05x = Y

So that would be your equation

Now for (b)

If she sold 10,000 that week as commission we can just plug it into our equation

1200+0.05(10,000)=y

Now solve

5 percent of 10,000 is 500 dollars.

Now 1200+500=1700

(b) is 1700 earned that week

Now for (c)

We want to know How much should be sold in order for a 3000 income. We’re finding amount of sells.

So same equation

1200+0.05x=3000

x=36,000 have to be solve in order to make 3,000 income Per week.

Answer:

97.5

Step-by-step explanation:

Supplementary means the angles add up to 180°

So,

m∠A = 180 - m∠B

m∠A = 180 - 82.5

m∠A = 97.5

Answer:

x = 55 - 2y

y = 70 - 3x

x = 17

y = 19

Step-by-step explanation:

let x = small box

y = large box

6x + 12y = 330

12x + 4y = 280

6x + 12y = 330

6x = 330 -12y

6x/6 = (330-12y)/6

x = 55 - 2y

12x + 4y = 280

4y = 280 -12x

4y/4 = (280 -12x)/4

y = 70 - 3x

small box cost:

x = 55 - 2y

x = 55 - 2(70-3x)

x = 55 -140 + 6x

x - 6x = -85

-5x = -85

x = 17

large box

y = 70 - 3x

y = 70 - 3(17)

y = 70 - 51

y = 19

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope- formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 15) and (x₂, y₂ ) = (1, 6) ← 2 ordered pairs from the table

m = [tex]\frac{6-15}{1-(-2)}[/tex] = [tex]\frac{-9}{1+2}[/tex] = [tex]\frac{-9}{3}[/tex] = - 3 , then

y = - 3x + c ← is the partial equation

To find c substitute any ordered pair from the table into the partial equation

Using (2, - 3 ) , then

- 3 = - 6 + c ⇒ c = - 3 + 6 = 3

The y- intercept c = 3 → D

Answer:

Step-by-step explanation:

Altitude or height

Answer

It is known as altitude

There are three such altitudes and the point of intersection of these altitudes

is called as orthocentre

Answer:

30

Step-by-step explanation:

What you need to do is add all the sides when you want to find perimeter so for this one you would want to do 8+8+7+7 and that should give you 30. I hope I could help!!

Answer:

Step-by-step explanation:

assuming it is a rectangle, there is no information on the shape of the quadrilateral, add all sides.

7 + 8 + 7 + 8 = 30 units

Answer:

3.9

Step-by-step explanation:

Answer:

26, 28

Step-by-step explanation:

2n , 2n + 2

2n + 2n + 2 = 54

4n + 2 = 54

4n = 52

n = 13

2n = 26

2n + 2 = 28

Answer:

Step-by-step explanation:

The sum of two consecutive even numbers is 54 find the answer

(54 - 2) : 2 = 26

26 + 2 = 28

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

check

26 + 28 = 54

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Diameter = 120m

Circumference = (120 · π) m

(40 min) / (30 min/rotation)  =  4/3 rotation

Passenger travel = (4/3) · (120π)  =  160π meters  =  502.7 meters