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3 years ago

Assign a variable to each quantity and write each statement as an inequality. Then give an example

Mathematics

1 answer:

RideAnS [48]3 years ago

6 0

Answer:

Variable: x

Inequality: x ≤ 12

Value that matches: 12

Variable: y

Inequality: y < 66

Value that matches: 60

Step-by-step explanation:

Solving (1):

Let x be the variable

Reading through the question, we have the inequality to be represented by "at most".

At most is used for less than or equal to.

Hence, the expression can be represented by:

x ≤ 12

The range of this inequality is limited to all natural number that do not exceed 12.

Examples are 8, 2, 11, 12

Solving (2):

Let the variable be y

Reading through the question, we have the inequality to be represented by "below".

Below means less than

Hence, the expression can be represented by:

y < 66

The range of this inequality is limited to all number less than 66.

Examples are 65, 1 , 60......

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The width and length of a rectangle (in feet)are consecutive odd integers. If the length is increased by 5 feet, the area of

zzz [600]

Answer:

I think you should pick 35

5 0

3 years ago

Juans three math quizzes this week took him 1/3?4/6?and1/5 hour to complete. List all the fraction from least to greatest

Alex

Answer:

$\frac{1}{5}$ , $\frac{1}{3}$ , $\frac{4}{6}$ .

Step-by-step explanation:

Given fractions $\frac{1}{3}$ , $\frac{4}{6}$ , $\frac{1}{5}$ .

We need to list them from least to greatest.

In order to arrange them from least to greatest, we need to find the least common denominator of $\frac{1}{3}$ , $\frac{4}{6}$ , $\frac{1}{5}$ .

We have 3, 6 and 5 in denominators.

Least common multiple of 3, 6 and 5 is = 30, because 30 is least number that can be divided by all three number 3, 6 and 5.

Let us covert each denominator as 30.

Multiplying first fraction $\frac{1}{3}$ by 10 in top and bottom, we get

$\frac{1}{3} = \frac{1\times10}{3\times10}=\frac{10}{30}$

Multiplying first fraction $\frac{4}{6}$ by 5 in top and bottom, we get

$\frac{4}{6} = \frac{4\times5}{6\times5}=\frac{20}{30}$

Multiplying first fraction $\frac{1}{5}$ by 6 in top and bottom, we get

$\frac{1}{5} = \frac{1\times6}{5\times6}=\frac{6}{30}.$

Now, we can check $\frac{10}{30}, \frac{20}{30} \ and \ \frac{6}{30}.$

$\frac{6}{30}$ is the smallest, $\frac{10}{30}$ is greater and $\frac{20}{30}$ is the greatest.

Therefore, we can arrange fractions $\frac{6}{30}, \frac{10}{30} \ and \ \frac{20}{30}.$

Writing original fractions in place of equivalent fractions, we can write

$\frac{1}{5}$ , $\frac{1}{3}$ and $\frac{4}{6}$ .

Therefore, the order the amounts of paint from least to greatest is:

$\frac{1}{5}$ , $\frac{1}{3}$ , $\frac{4}{6}$ .

4 0

3 years ago

People use water to cook, clean, and drink every day. An estimate of 15.5% of the water used each

Studentka2010 [4]

Answer:

260 gallons

Step-by-step explanation:

An estimate of 26.5% of the water used each day is for cleaning and a family uses 68.9 gallons of water a day for cleaning,

Percentage of water used for cleaning= 26.5%

Gallons of water used for cleaning= 68.9

Let the number of gallons used everyday be represented by g. This will give:

26.5% of g = 68.9

26.5/100 × g = 68.9

0.265 × g = 68.9

0.265g = 68.9

Divide both side by 0.265

0.265g/0.265 = 68.9/0.265

g= 260

260 gallons of water are used everyday

5 0

3 years ago

Which of the following equations is equivalent to y-3x=4 ?

lina2011 [118]

Answer:

y=3x+4

idk what it has to be equivalent to...I just put it in y-intercept form

Step-by-step explanation:

7 0

3 years ago

(Will give brainiest) 5y - x = 10 4x - 4y = 1 12 = 6x + 3y

kow [346]

Is there any answer choices to what we are looking for?

7 0

3 years ago