Dave and Sue share a pizza in the ratio 2:3.They eat it all.
a. What fraction of the pizza did Dave eat?
b. What fraction of the pizza did Sue eat?​

The numerical length of DE is 11.

We have a Line Segment DG such that E and F is between D and G.

We have to determine the length of DE.

A line segment is a piece or part of a line having two endpoints. Unlike a line, a line segment has a definite length.

According to question, we have -

DE = 3x - 28

EF = 3x - 30

FG = x

DG = 33

Now -

DG = DE + EF + FG

33 = 3x - 28 + 3x - 30 + x

7x = 33 + 58

7x = 91

x = 13

Therefore -

DE = 3x - 28 = 3 x 13 - 28 = 39 - 28 = 11

Therefore -  DE = 11

Hence, the numerical length of DE is 11.

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Answer:

f 41/50

Step-by-step explanation:

Answer:

15200mm

Step-by-step explanation:

I just asked googl

Answer:

15.2m is 15200mm

Step-by-step explanation:

you multiply or divide the original number by however many tens places the other measurement is away. So, 15.2(m) is 3 tens places away from (mm) so you would multiply 15.2(m) by 1000 (15.2 x 1000) and you would get 15200

Answer:

thw abswer os tywentr yaxel

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

Since BD is an angle bisector then it divides the opposite side into segments that are proportional to the other 2 sides, that is

[tex]\frac{BA}{BC}[/tex] = [tex]\frac{AD}{CD}[/tex] , substitute values

[tex]\frac{x}{6}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )

3x = 12 ( divide both sides by 3 )

x = 4

Answer:

im not sure

Step-by-step explanation:

wish i could help!! :((

bUT THANKS for the pointssssssss

Answer:

they intercept at (2,39)

Step-by-step explanation:

so, the starting point is the y int, and the rate it warms up is the slope so you need to create an equation that follows y=mx+b, then you can use a graphing calculator like desmos, to graph the equation.

the equations would be y=11x+17 and 8x+23, x represents hours.

Answer

ANGLE SIDE SIDE

Step-by-step explanation: Because you have an angle side side hope this helps

Answer:

D. y-4=-1(x-1)

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

please mark me as brainliest!!<3

Answer:

The line equation of the line is:

Step-by-step explanation:

Given the two points

Finding the slope between (0,3) and (8,0)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:3\right),\:\left(x_2,\:y_2\right)=\left(8,\:0\right)[/tex]

[tex]m=\frac{0-3}{8-0}[/tex]

[tex]m=-\frac{3}{8}[/tex]

Therefore, the slope of the line: m = -3/8

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = -3/8 and the point (0,3)

[tex]y-3=-\frac{3}{8}\left(x-0\right)[/tex]

[tex]y-3=-\frac{3}{8}x[/tex]

Add 3 to both sides

[tex]y-3+3=-\frac{3}{8}x+3[/tex]

Simplify

[tex]y=-\frac{3}{8}x+3[/tex]

Therefore, the line equation of the line is:

Answer:

there is no solution

Step-by-step explanation:

y + 7 = 3x

6x - 2y = 6    which can be simplied to be 3x - y = 6  (divide by 2)

let y = 3x - 7

substitute:  3x -(3x - 7) = 6

                  3x - 3x + 7 = 6

                              7 ≠ 6  therefore, no solution

Answer:

Concept: Rate of change

Answer:

24)

[tex] \frac{4}{5} [/tex]

[tex]25) - \frac{4}{5} [/tex]

[tex]14)1[/tex]

15)19

16)5

17)3

18)5√5

19)8n²√2

Answer:

5

Step-by-step explanation:

1/6 X 6 = 1 X 5 = 5

6 X 5 = 30

The Correct Answer is 5

Answer:

A

Step-by-step explanation:

Answer:

-1 -9i, where a = -1 and b = -9

Step-by-step explanation:

1st step is to open up the brackets. Since there's a (-) in front of the second bracket, we have to multiply every term by -1, so positive becomes negative, negative becomes positive etc.

4-i-5-8i

Then we collect like terms.

-1 -9i

This is the answer. It looks wrong since the variables are 'positive' in a +bi, but you have to remember that a variable can be represented as a, but its actual value could be negative, in this case -1. This is the same with b, as b could be the same as -9.

This is an expression, so we can't multiply everything by -1 to make it 'look right'. You can only multiply by -1 or 'alter' the terms when the expression equates to something.

Answer:

Gross income= $66,300

Step-by-step explanation:

Giving the following information:

Yearly salary= $65,000

Bonus= 2% of the salary

To calculate the gross income, first, we need to determine the monetary value of the bonus:

Bonus ($)= 65,000*0.02

Bonus ($)= $1,300

Now, the gross income:

Gross income= 65,000 + 1,300

Gross income= $66,300

Answer:

The scale is five. you do 90 divided by 18.

Answer:

Step-by-step explanation:

x+5y=-27

-2x-5y=24

If the signs are the same u minus if they are different u add

So they are different were gonna add

x+5y=-27

-2x-5y=24

-1=-3

You cant divide it further x=-3

Next were gonna subsitute in any equation

x(-3)+5y=-27

-3+5y=-27

+3 to -27

-7+3=-24

5y=24

24/5=4.8 y=4.8

I hope this helps.

Answer:

I think its the first one...

Step-by-step explanation:

Answer:

First one

Step-by-step explanation:

Answer:

Reflexive Property

SAS

<C

Answer:

729.6

Step-by-step explanation:

to much

The system of inequalities can be obtained from the given information

on the allowable weights and number of pots.

The correct responses:

The system of inequalities that represent the constraint on the number

of pots that can be included in one shipment are;

The inequality that represents the number total number of clay, T, in each shipment is 2 ≤ T ≤ 8

The inequality that represents weight of each shipment is w < 100 lbs

The weight of each shipment container = 20 lbs

The weight of the packing material = 1 lb

Therefore;

The weight of each clay flower pot = 15 lbs

The weight of each plastic flower pot = 7.5 lbs

Let "x" represent the number of clay flower pot included in one shipment

and let "y" represent the number of plastic flower pot included in one

shipment, we have;

The system of inequalities that represent the constraint on the number of pots that can be included in one shipment are as follows;

Learn more about inequalities here:

https://brainly.com/question/10868639

We will find the system of inequalities:

C*15 lb  + P*7.5lb < 79 lb

2  ≤ P + C ≤ 8

First, we need to define the variables that we will be using, these are:

From the first restriction, we have that:

2  ≤ P + C ≤ 8

The other restriction says that the weight must be less than 100lbs:

W < 100lbs

Where the weight is:

W = C*15 lb  + P*7.5lb + 20lb + 1lb

Where 20lb is the weight of the container and 1lb is the weight of the packing material, then we have:

C*15 lb  + P*7.5lb + 20lb + 1lb < 100lb

We can subtract 21 lb in both sides to get:

C*15 lb  + P*7.5lb < 100 lb - 21 lb

C*15 lb  + P*7.5lb < 79 lb

So we got our two inequalities, then the system is:

C*15 lb  + P*7.5lb < 79 lb

2  ≤ P + C ≤ 8

If you want to learn more about systems of inequalities, you can read:

https://brainly.com/question/9774970

Answer:

I think it might be e=5h someone please correct me if I'm wrong

Step-by-step explanation:

Answer:

e = 5h

Step-by-step explanation:

To find the unit rate (money earned per hour), we divide 10 by 2, which gets us 5. That means $5 is earned per house. If h is the number of houses shoveled, and he earns $5 per house, we can write that as 5h. If e is the money earned, we can write this whole thing as e = 5h.

the second one is correct

Answer:

15% of 58

15÷100×58

may this help u

Answer: $ 8.70

Step-by-step explanation: 0.15 x 58 = 8.7

Answer:

B) 120

Step-by-step explanation:

Answer:

Since the Airbus A300 model airplane was made to scale, measuring 36 centimeters, while the real airplane measures 54 meters, to determine the scale ratio between both planes, the following calculation must be performed:

36cm = 0.36m

0.36 = 1

54 = X

54 x 1 / 0.36 = X

150 = X

Therefore, the scale ratio between the model and the real plane is 150:1.