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2 years ago

Mike makes 4 dozen cookies. He brings 75% of them for a party at his school. How many did he bring?

Mathematics

1 answer:

baherus [9]2 years ago

3 0

Answer:

He brought 3 dozen cookies

She ate $\frac{2}{5}$ of the bag of Doritos

She read 25 books

Step-by-step explanation:

∵ Mike makes 4 dozen cookies

∵ He brings 75% of them for a party at his school

- Multiply 75% by 4

∵ 75% = $\frac{75}{100}=\frac{3}{4}$

∴ He brought = $\frac{3}{4}$ × 4

∴ He brought = 3

He brought 3 dozen cookies

∵ Sam bought a bag of Doritos

∵ She ate only 40% of them

∵ 40% = $\frac{40}{100}=\frac{2}{5}$

∴ She ate = $\frac{2}{5}$ × 1

∴ She ate = $\frac{2}{5}$

She ate $\frac{2}{5}$ of the bag of Doritos

∵ Jamie took 50 books from the library

∵ She only read half of her whole stack

- Multiply half by 50

∴ She read = $\frac{1}{2}$ × 50

∴ She read = 25

She read 25 books

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In the figure above, quadrilateral ABCD is a parallelogram. Let x represent the measure of angle GBF, y represent the measure of

ira [324]

Answers:
measure angle x = 40°
measure angle y = 35°
measure angle z = 55°

Explanation:
Part (a): getting angle x:
In triangle BED, we have:
measure angle BED = 90°
measure angle BDE = 50°
Therefore:
measure angle DBE = 180 - (90+50) = 40°
Now, we have angle DBE and angle GBF vertically opposite angles.
This means that they are both equal. Therefore angle GBF = 40°
Since angle GBF is x, therefore:
x = 40°

Part (b): getting angle y:
We know that the sum of measures of angles on a straight line is 180.
This means that:
angle GBF + angle GBC + angle CBE = 180
We have:
angle GBF = 40°
angle GBC = 105°
angle CBE = y
Therefore:
40 + 105 + y = 180
y = 35°

Part (c): getting angle z:
In triangle BCE, we have:
measure angle BCE = z
measure angle BEC = 90°
measure angle CBE = 35°
Therefore:
z + 90 + 35 = 180
z = 55°

Hope this helps :)

8 0

2 years ago

Caroline wants to buy a pair of shoes that has an original price of $40.00. She has a coupon for a 30% discount off of the origi

fredd [130]

Answer:
$26.32

step-by-step explanation:
it originally was $40.00
she has a coupon for 30%
30% of 40.00 is 12
40 • 0.30 = 12
40 - 12
$28
it is now $28 after the coupon
her state charges an 6% sales tax on the discounted price
6% of 28 is 1.68
28 • 0.06 = 1.68
28 - 1.68 = 26.32

6 0

2 years ago

The officer stepped off 20 paces from E to G. If his pace is 2 1/2 feet long. How wide was the river?

Sergeeva-Olga [200]

Answer:

The wide of river is $50\ ft$

Step-by-step explanation:

In this problem we know that

Triangles DEG and DEF are congruent by ASA (Angle-Side-Angle) Congruence

therefore

EG=EF

$EG=20*(2\frac{1}{2})=20*\frac{5}{2}=50\ ft$

8 0

2 years ago

If three times a number minus 2 equals 13, what is the number?

Nana76 [90]

Change the messy words into numerals
3 times a number minus 2    equals    13
3 × n - 2 = 13

3n - 2 = 13
take 2 to the other side
3n - 2 + (2) = 13 + (2)
3n = 15

Divide by 3 on either sides to isolate n
$\frac{3n}{3}$ = $\frac{15}{3}$
3 and 3 cancels out

n = 5

check:
3 times 5 minus 2 equals 13
3   × 5 - 2 = 13
15 - 2 = 13
13 =    13

The number is 5

3 0

2 years ago

Exploring the graph of y equals cosine Theta

irga5000 [103]

Answer: see below

<u>Step-by-step explanation:</u>

The coordinates on the Unit Circle are (cos, sin). Since we are focused on cosine, we only need to focus on the left side of the coordinate. The cosine value (left side) will be the y-value of the function y = cos x

Use the quadrangles (angles on the axes) to represent the x-values of the function y = cos x.

Quadrangles are: 0°, 90°, 180°, 270°, 360° <em>(360° = 0°)</em>

Together, the coordinates will be as follow:

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2 years ago