A recipe calls for 1 1/2 cups of flour for 1 dozen of cookies. How much flour is needed for 32 cookies?

Answer:

FG || BC.

Step-by-step explanation:

In the diagram, which is not drawn to scale, DE | FG || BC.

The measure of DA is 20 cm, the measure of EG is 12 cm and the measure of GC is 18 cm.

The theorem states if a transversal makes equal intercepts on three or more parallel lines, then any other line cutting them will also make equal intercepts. It means that given any three mutually perpendicular lines, a line passing through them forms intercepts in the corresponding ratio of the distances between the lines.

Here, EG = GA - AE

= 36-24

= 12 cm

Here, ΔADE is similar to ΔAGF

Now, AE/GA = AD/FA

⇒ 24/36 = AD/(AD+10)

⇒ 24 (AD+10) = 36AD

⇒ 24AD+240 = 36AD

⇒ 12AD =240

⇒ AD =20 cm

Here, ΔAGF is similar to ΔABC

Now, 30/45 = 36/AC

⇒ 30AC = 36×45

⇒ AC = 54 cm

So, GC = 54-36 = 18 cm

Therefore, the measure of AD is 20 cm, the measure of EG is 12 cm and the measure of GC is 18 cm.

Learn more about the equal intercept theorem here:

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Answer:

D: x < 20

Step-by-step explanation:

-4x + 16 > -64

subtract 16 from both sides because you must isolate x.

-4x + 16 - 16 > -64 - 16

-4x > -80

Then divide -4 on both sides... I believe that when you divide a number by a negative number you must flip the sign...

-4x/ -4 < -80/ -4

        x < 20

(negative divided by a negative will result in a POSITIVE.)

Hope this helped... I truly apologize if this is wrong..

Answer:

bro i've had someone delete my answers... LIKE OVER 80

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

c

................................................................

Answer:

It's an adjective. means regularly occurring, persustent; or, unchanging, in value, nature, or respect.

Answer:

slope (m) = 4

y intercept is -3 and 5

Answer:

390 well actually 389.75 but still

Answer:

(-14)+(-8)

Step-by-step explanation:

Answer:

The percent increase is 30%

Step-by-step explanation:

First find the difference

6.50 - 5.00 = 1.50

Divide by the original cost

1.50 / 5.00

.3

Change to percent

.3 = 30%

The percent increase is 30%

Answer:

30%

Step-by-step explanation:

5.0*30%=1.50

5.0+1.50=6.50

Answer: See explanation

Step-by-step explanation:

Since the number of tickets is represented by t and we're told that the committee earns $4 per ticket and also earned $72 from bake sale, then the inequality will be given as:

= 72+4t>400

The solution if the inequality will then be:

72 + 4t > 400

4t > 400 - 72

4t > 328

t > 328/4

t > 82

Answer:

72+4t>400

t > 82

Step-by-step explanation:

top one is for the inequality

bottom is the solution

Answer:

150 by 18 or 20

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

I only know B and C

Step-by-step explanation:

Part B)

2 (x+15) + 3x + 10+ 5x = 180        2x + 30 + 3x + 10 +5x = 180           10 +40 = 180

- 40 -40            10x divided by 10 = 140 divided by 10             x= 14

Part C)

A = 2 (x + 15) = 2 (14 + 15) = 2 * 29 = 58 degrees

< B = 3 x + 10 = 3 * 14 + 10 = 52 degrees

< C = 5 x = 5 * 14 = 70 degrees

Answer:90 km

Step-by-step explanation:

Answer:

22.5 km

Step-by-step explanation:

distance = speed x time

x = (45 x 0.5) km

x = 22.5

Answer:To solve this problem you would have to write 276.5 over 7.9 and divide the numerator and denominator by 7.9 since you want miles per gallon (it should have a denominator of 1 after you divide). When you do this you will get 35, so the Henry family got 35 miles per gallon of gas on the trip.

Step-by-step explanation:

Answer:

n/3

Step-by-step explanation:

n×by n is=n square.

n/3

Probability that Sara does not wins a raffle is  [tex]\frac{3}{n+3}[/tex].

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are.

Given

Probability that Sara wins a raffle is given by the expression

P(win) = [tex]\frac{n}{n+3}[/tex]

Probability that Sara does not wins a raffle is given by

P(does not win) = 1 - [tex]\frac{n}{n+3}[/tex]

= [tex]\frac{n+3}{n+3} -\frac{n}{n+3}[/tex]

= [tex]\frac{n+3-n}{n+3}[/tex]

= [tex]\frac{3}{n+3}[/tex]

Thus, probability that Sara does not wins a raffle is  [tex]\frac{3}{n+3}[/tex].

Find out more information about probability here

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Answer:

It was greater from 2015 to 2016.

Step-by-step explanation:

From 2015 to 2016 it was a 30 person difference

From 2014 to 2017 there was a 5 person difference

Answer:

Vertical Shift

Step-by-step explanation:

The blue line is the original graph. The green one is the new graph. So, the blue graph moves up to where the green graph is. In other words, the line moves up, which is a vertical shift.

Answer:

Your answer.

4x + 6y = 122.............(1)

5x + 3y = 94............... (2)

(2)*2-(1),,,,

10x+6y-4x-6y = 66

X = 11

Put x value in eq 1 or 2

Y = 13

Thank you. And give my answer as Brainlist answer. Follow me for more

Step-by-step explanation:

Answer:

64 inches

Step-by-step explanation:

5 * 12 = 60

60 + 4 = 64

Answer:

4x+32

Step-by-step explanation:

Answer:

4x+32

Step-by-step explanation:

first you multiple by distributive properties

Answer:

Step-by-step explanation:

1. 120

2saves 52 dollars

3 at normal price its 108 per tire but on sale it will be 95 per tire

Answer:

2) 120 customers per day

3) $13 per tire

Step-by-step explanation:

2) 3600÷30=120 customers per day

3) 216÷2=108

380÷4=95

108-95=$13 per tire

Answer:

it is the one that goes [tex]a_{n} =10(-2)^{n}[/tex]

Step-by-step explanation:

10 is the starting term a(sub 1). 2 is r or the common ratio and n is the term number you want to find. I hope this helps!

Answer:

5 7/12

Step-by-step explanation:

Convert 5.5833333333333

Answer:

The answer is option (D) 8.17 × 10^8...

Hope u like it

Answer:

d... 8.17 * 10^8

Step-by-step explanation:

（*゜ー゜*）do you know what it means?

Answer:

The average rate of change of the function is: 0

Step-by-step explanation:

The function y = f(x) is graphed below.

From the graph it is clear that:

at x = -8, the value of f(-8) = -10

at x = -1, the value of f(-1) = -10

We have to determine the average rate of change of the function f(x) on the interval -8 ≤ x ≤ -1.

so

at x₁ = -8, f(x₁) = f(-8) = -10

at x₂ = -1, f(x₂) = f(-1) = -10

Using the formula to determine the average rate of change of the function f(x) on the interval -8 ≤ x ≤ -1.

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]  

                      = [f(-1) - f(-8) ] / [-1-(-8)]

                      = [-10 - (-10)] / [-1+8]

                      = [-10 + 10] / 7

                      = 0 / 7

                      = 0

Therefore, the average rate of change of the function is: 0

Answer:

Step-by-step explanation:

7 blue socks and 6, 5, 8 of non-blue socks. If you add the numbers of non-blue socks you get 19. Blue socks to non-blue would be 7:19

Answer:

The ratio is 7 to 19 or 7:19

Step-by-step explanation:

Since there are 7 blue socks and other colors are not blue we add the number of other colors. So basically 8+5+6= 19 and then 7 blue socks :)

Answer:

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Step-by-step explanation:

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Answer:

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