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Ghella [55]
1 year ago
10

Jamaar helped in the community garden for \dfrac{21}{10}

Mathematics
1 answer:
Oduvanchick [21]1 year ago
6 0

Using proportions, it is found that 21/10 divided by 2 and 4/5 represents the number of shifts that Jammar worked.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

For this problem, we have that following<em> rule of three</em>:

One shift - 2 and 4/5 hours.

x shifts - 21/10 hours.

Applying cross multiplication, the number of shifts is found as follows:

2 4/5x = 21/10.

x = (21/10)/(2 4/5)

Hence 21/10 divided by 2 and 4/5 represents the number of shifts that Jammar worked.

More can be learned about proportions at brainly.com/question/14398287

#SPJ1

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Read 2 more answers
Write x2 - 8x + 13 = 0 in the form (x - a)2 = b, where a and b are integers. a.)(x - 4)2 = 3 b.) (x - 3)2 = 2 c.)(x - 2)2 = 1 d.
loris [4]
The answer is <span>a.)(x - 4)2 = 3.

(x - a)</span>² = b can be expressed as:
x² - 2ax + a² = b                                 ⇒ x² - 2ax + a² - b = 0

Our equation is                x² - 8x + 13 = 0.
The general formula is    x² - 2ax + (a² - b) = 0

Thus:
8x = 2ax    and a² - b = 13

Divide both sides of the first equation (8x = 2ax) by x:
8 = 2a           ⇒ a = 8 ÷ 2 = 4

Replace a in the second equation (a² - b = 13):
4² - b = 13     ⇒ b = 4² - 13 = 16 - 13 = 3

Now when we have a and b, let's just replace them in the general equation:
(x - a)² = b
(x - 4)² = 3
4 0
2 years ago
"Find the constants m and b in the linear function f(x) = mx + b so that f(2) = 10 and the straight line represented by f has sl
Ksju [112]

f(x) = mx + b m = slope = -5 f(2) = 10 = (-5)(2) + b b = 10 + 10 = 20 Ans. m=-5, b = 20


6 0
3 years ago
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