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3 years ago

Without using a calculator, fill in the blanks with two consecutive integers to complete the following inequality.

Mathematics

1 answer:

Mariana [72]3 years ago

7 0

Answer:

11≤√134≤12

Step-by-step explanation:

11^2 is 121

and 12^2 is 144

so √134 would have to fall between these numbers

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Which of the following pairs of numbers contains like fractions? A. 5⁄6 and 10⁄12 B. 3⁄2 and 2⁄3 C. 3 1⁄2 and 4 4⁄4 D. 6⁄7 and 1

ElenaW [278]

<h2>Hello!</h2>

The answers are:

$\frac{5}{6}$ and $\frac{10}{12}$

$\frac{6}{7}$ and $1\frac{5}{7}$

To find which of the following pairs of numbers contains like fractions, we must remember that like fractions are the fractions that share the same denominator.

We are given two fractions that are like fractions. Those fractions are:

Option A.

$\frac{5}{6}$ and $\frac{10}{12}$

We have that:

$\frac{10}{12}=\frac{5}{6}$

So, we have that the pairs of numbers

$\frac{5}{6}$

and

$\frac{5}{6}$

Share the same denominator, which is equal to 6, so, the pairs of numbers contains like fractions.

Option D.

$\frac{6}{7}$ and $1\frac{5}{7}$

We have that:

$1\frac{5}{7}=1+\frac{5}{7}=\frac{7+5}{7}=\frac{12}{7}$

So, we have that the pair of numbers

$\frac{6}{7}$

and

$\frac{12}{7}$

Share the same denominator, which is equal to 7, so, the pairs of numbers constains like fractions.

Also, we have that the other given options are not like fractions since both pairs of numbers do not share the same denominator.

The other options are:

$\frac{3}{2},\frac{2}{3}$

and

$3\frac{1}{2},4\frac{4}{4}$

We can see that both pairs of numbers do not share the same denominator so, they do not contain like fractions.

Hence, the answers are:

$\frac{5}{6}$ and $\frac{10}{12}$

$\frac{6}{7}$ and $1\frac{5}{7}$

Have a nice day!

3 0

4 years ago

Solve for x.<br> 4x - 36<br> 3x + 10

Anestetic [448]

Answer:

x = 46

Step-by-step explanation:

Since the angles are equal to each other, make the equations equal to each other.

4x - 36 = 3x + 10 and simplify

x - 36 = 10

x = 46

Hope this helps!

7 0

3 years ago

Area and perimeter of geometric functions

SCORPION-xisa [38]

Answer:

C. 60

Step-by-step explanation:

From triangle ADB,

$|AD|^2+|BD|^2=|AB|^2$

$|AD|^2+16^2=20^2$

$|AD|^2=20^2-16^2$

$|AD|^2=400-256$

$|AD|^2=144$

$|AD|=\sqrt{144}$

$|AD|=12$

From triangle ADC,

$|CD|^2+12^2=15^2$

$|CD|^2+144=225$

$|CD|^2=225-144$

$|CD|^2=81$

$|CD|=9$

The perimeter is the distance around the figure.

The perimeter

$=15+20+16+9$

$=60$

8 0

4 years ago

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A laptop was originally sold for 975. The laptop is now on sale for 828.75. What percent is the percent markdown?

Rudik [331]

Answer:

15%

Step-by-step explanation:

975-828.75/975

6 0

3 years ago

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What is the value of n?<br> Enter your answer in the box

timofeeve [1]

Answer:261

Step-by-step explanation:

The value of N is 261

8 0

4 years ago

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