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Pachacha [2.7K]
3 years ago
11

Students who score within 14 points of the number 88 will pass a particular test. Write this statement using absolute value nota

tion and use the variable x for the score.
Mathematics
1 answer:
solniwko [45]3 years ago
8 0

Answer:

|88-x| ≤ 14

Step-by-step explanation:

their score has to be within 14 points of 88.

if their score is above 88, the number will be negative, but the absolute value makes the number positive. if that number is still within 14 of 88, they pass.

if their score is below 88, the number will be negative, and the absolute value keeps the number positive. if that number is still within 14 of 88, they pass.

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Which number is a factor of both 20 and 35?
yarga [219]
Find the factors of 20 and 35.

20:

1, 2, 4, 5, 10, 20

35:

1, 5, 7, 35

1 and 5 are both factors of 20 and 35.
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In The autumn 40% of the leaves on a tree are yellow and 24% of them are green the remaining 72 leaves are half yellow how many
Charra [1.4K]

Percentage of yellow leaves on a tree during Autumn = 40%

Percentage of green leaves on a tree during Autumn = 24%

Percentage of half yellow leaves on the tree during Autumn :

=  \tt100 - 40 + 24

= \tt 100 - 64

= \tt 36 \%Thus, the percentage of half yellow leaves on the tree during Autumn = 36%

Number of half yellow leaves on the tree = 36%

Let the total number of leaves on the tree be x.

Which means :

=  \tt36 \% \: of \: x = 72

=  \tt \frac{36}{100}  \times x = 72

=  \tt \frac{36 \times x}{100}  = 72

=  \tt \frac{36x}{100}  = 72

= \tt 36x = 72 \times 100

=  \tt36x = 7200

= \tt x =  \frac{7200}{36}

\color{plum} =  \tt \: x = 200

Thus, total number of leaves on the tree = 200

Number of yellow leaves on the tree :

=  \tt40 \% \: \:  of \: \:  200

=  \tt \frac{40}{100}  \times 200

= \tt   \frac{40 \times 200}{100}

= \tt  \frac{8000}{100}

\color{plum}  \tt = 80 \: yellow \:  \: leaves

Thus, total number of yellow leaves on the tree = 80

Number of green trees on the tree :

=  \tt24 \% \:  \: of \:  \: 200

= \tt  \frac{24}{100} \times 200

= \tt  \frac{24 \times 200}{100}

=  \tt \frac{4800}{100}

\color{plum} = \tt 48 \: green \:  \: leaves

Thus, the total number of green leaves on the tree = 48

Since the sum of all types of leaves form 200[80+48+72=200], we can conclude that we have found out the correct number of each type of leaf.

▪︎Therefore, <em>the total number of leaves on the tree = 200</em>

3 0
3 years ago
Write 0.21..... as a fraction in simplest form
kondor19780726 [428]
.21 as a fraction would be 21/100
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3 years ago
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Ann [662]

Answer:

We will split the trapezoid into right angle triangle and rectangle

Traingle with base 3cm and height 10 - 6 = 4cm

Area of traingle

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Area of rectangle with sides 6cm and 3cm

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Total area = 24 + 1.125\pi =27.53cm^{2}

8 0
3 years ago
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