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Oksi-84 [34.3K]
3 years ago
8

Bryce and Rachel are collecting canned goods for the local food bank. Bryce's goal is to collect 32 items. Rachel's goal is to c

ollect 24 items. If Rachel and Bryce each meet their goal, what fraction of Bryce's goal does Rachel collect?
Mathematics
1 answer:
____ [38]3 years ago
5 0
Rachel collected 24 items and Bryce collected 32 items.
Rachel collected 24/32 of Bryce`s goal.
24 / 32 = 3 / 4 ( we will divide numerator and denominator by 8 )
Answer:
Rachel collected 3 / 4 of Bryce`s goal.
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Which equations show the zero property of multiplication? Choose exactly two answers that are correct. A. –4.7 • 0 = 0 B. –8 + 8
tester [92]
The zero property is anything multiplied zero to equal zero

Answers: A and D

-4.7x0=0
0x3=0
6 0
3 years ago
PLZ HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!During a 4-month-long drought, the water level in a lake changed
Dafna1 [17]

Answer:

-78

Step-by-step explanation:

4 Months is -312 so dividing by 4 will give the decrease of one month:

-312 ÷ 4 = -78

3 0
3 years ago
Write a quadratic equation in standard form with the given roots
stich3 [128]

{x}^{2}  -  \frac{15x}{2}   +  \frac{7}{2}

Step-by-step explanation:

So we go backwards, since we have x= 1/2 , 7

(x -  \frac{1}{2} )(x - 7)

Now we have to foil to get the quadratic

{x}^{2}  - 7x -  \frac{1}{2} x +  \frac{7}{2}

We must simplify the terms

{x}^{2}  -  \frac{14x}{2}  -  \frac{x}{2}  +  \frac{7}{2}

Our final result comes out to be

{x}^{2}  -  \frac{15x}{2}   +  \frac{7}{2}

5 0
2 years ago
There are eight students in a class. Only one of them has passed Exam P/1 and only one of them has passed Exam FM/2. No student
Svetach [21]

Answer: There is probability of 0.57 chances that exactly three students from a group of four students have not passed Exam P/1 or Exam FM/2.

Step-by-step explanation:

Total number of students = 8

Number of student who has passed Exam P/1 = 1

Number of student who has passed Exam FM/2 = 1

No student has passed more than one exam.

According to question, exactly three students from a randomly chose group of four students have not passed Exam P/1 or Exam FM/2.

So, Probability will be

\frac{^6C_3\times ^2C_1}{^8C_4}\\\\=\frac{20\times 2}{70}\\\\=\frac{4}{7}\\\\=0.57

Hence, there is probability of 0.57 chances that exactly three students from a group of four students have not passed Exam P/1 or Exam FM/2.

4 0
3 years ago
Janeel has a 10-inch by 12-inch photograph. She wants to scan the photograph, then reduce the result
Vaselesa [24]

<u>Complete Question:</u>

Janeel has a 10 inch by 12 inch photograph. She wants to scan the photograph, then reduce the results by the same amount in each dimension to post on her Web site. Janeel wants the area of the image to be one eight of the original photograph. Write an equation to represent the area of the reduced image. Find the dimensions of the reduced image.

<u>Correct Answer:</u>

A) (10-x)(12-x)=15

B) Dimensions are : Length = 10-x = 3 inch , Breadth = 12-x = 5 inch

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

a. Write an equation to represent the area of the reduced image.

Let the reduced dimensions is by x , So the new dimensions are

length=10-x\\breadth=12-x

According to question , Area of new image is :

⇒ Area = \frac{1}{8}Length(breadth)

⇒ Area = \frac{1}{8}(10)(12)

⇒ Area = 15

So the equation will be :

⇒ (10-x)(12-x)=15

b. Find the dimensions of the reduced image

Let's solve :  (10-x)(12-x)=15

⇒ 120-10x-12x+x^2=15

⇒ 120-22x+x^2=15

⇒ x^2-22x+105=0

By Quadratic formula :

⇒ x = \frac{-b \pm \sqrt{b^2-4ac} }{2a}

⇒ x = \frac{22 \pm8 }{2}

⇒ x = \frac{22 +8 }{2} , x = \frac{22 -8 }{2}

⇒ x = 15 , x =7

x = 15 is rejected ! as 15 > 10 ! Side can't be negative

⇒ x =7

Therefore, Dimensions are : Length = 10-x = 3 inch , Breadth = 12-x = 5 inch

5 0
3 years ago
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