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Free_Kalibri [48]
1 year ago
12

Select all ratios that are in their simplest form. a29:26 b4:28 c25:10 d28:5 e12:19

Mathematics
1 answer:
xxTIMURxx [149]1 year ago
8 0

The correct answer is Option A , D , E.

<h3>What is meant by ratio?</h3>

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other.

<h3>What is meant by ratio in simplest form?</h3>

Ratio in it's simplest form means when the ratio can't be simplified anymore  by cancelling out the common factors.

The ratio in Option(A) can't be simplified anymore because 29 is a prime number.

The ratio in Option(B) can be simplified to 1 / 7.

The ratio in Option(C) can be simplified to 5 / 2.

The ratio in Option(D) can't be simplified.

The ratio in Option(E) can't be simplified because 19 is prime number.

Hence, the correct answer is Option A , D , E.

Learn more about ratios on:

brainly.com/question/2328454

#SPJ4

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its 76 degrees fahrenheit at the 6000-foot level of a mountain, and 49 degrees Fahrenheit at the 12000-foot level of the mountai
brilliants [131]

T = \frac{-9}{2}x + 103 is the linear equation to find the temperature T at an elevation x on the mountain, where x is in thousands of feet.

<em><u>Solution:</u></em>

The linear equation in slope intercept form is given as:

T = cx + k ------ (i)

Where "t" is the temperature at an elevation x

And x is in thousands of feet

<em><u>Given that its 76 degrees fahrenheit at the 6000-foot level of a mountain</u></em>

Given, when c = 6 thousand ft and T = 76^{\circ} fahrenheit

This implies,

From (i)

76 = c(6) + k

76 = 6c + k

⇒ k = 76 - 6c  ----- (ii)

<em><u>Given that 49 degrees Fahrenheit at the 12000-foot level of the mountain</u></em>

Given, when c = 12 thousand ft and T = 49^{\circ} fahrenheit

This implies,

From (i)

49 = c(12) + k

49 = 12c + k

Substitute (ii) in above equation

49 = 12c + (76 - 6c)

49 = 12c + 76 - 6c

49 - 76 = 6c

6c = -27

c = \frac{-9}{2}

Substituting the value of c in (ii) we get

k = 76 - 6( \frac{-9}{2})\\\\k = 76 + 27 = 103

Substituting the value of c and k in (i)

T = \frac{-9}{2}x + 103

Where "x" is in thousands of feet

Thus the required linear equation is found

5 0
2 years ago
Ashley is making $500 a week at her job. she receives a 20% pay rise. a year later she takes a 5% pay cut. how much does she mak
aleksandrvk [35]

Answer:

Ashley is making $570 a week

Step-by-step explanation:

500 + 20%= 600

600-5% =570

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3 years ago
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Answer:

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Step-by-step explanation:

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Since it has a negative in front of the absolute value, the graph is a downward cone.
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