Evaluate all numerical expressions with exponents

denis-greek [22]

Answer:

$\frac{7}{10} |$

Step-by-step explanation:

STEP 1:

2/3 + 7/10 = ?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(2/3, 7/10) = 30

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

$(\frac{2}{3}$ * $\frac{10}{10})$ + $(\frac{7}{10} * \frac{3}{3})$ = ?

Complete the multiplication and the equation becomes

$\frac{20}{30} + \frac{21}{30}$

The two fractions now have like denominators so you can add the numerators.

Then:

$\frac{20+21}{30} = \frac{41}{30}$

This fraction cannot be reduced.

The fraction 41/30

is the same as

41 divided by 30

Convert to a mixed number using

long division for 41 ÷ 30 = 1R11, so

41/30 = 1 11/30

Therefore:

2/3+7/10= 1 11/30

STEP 2:

41/30 + -2/3

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(41/30, -2/3) = 30

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

$(\frac{41}{30} *\frac{1}{1} ) + ( \frac{-2}{3} * \frac{10}{10} )$

The two fractions now have like denominators so you can add the numerators.

Then:

$\frac{41+-20}{30} = \frac{21}{30}$

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 21 and 30 using

GCF(21,30) = 3

$\frac{21/3}{30/3} =\frac{7}{10}$

Therefore:

$\frac{41}{30} + \frac{-2}{3} =\frac{7}{10}$ |

8 0

2 years ago

a recipe called for the ratio of sugar to flour to be 5 to 1 if you use 35 ounces of sugar how many ounces of flour do you need

den301095 [7]

7

The answer is 7
The ratio would look like 35/7

4 0

2 years ago

What is the definition of math?

MAVERICK [17]

Answer:

Step-by-step explanation:

In simpler words mathematics is the study of numbers , quantities, or shapes.

It is the science of structure, order, and relation that has evolved from elemental practices of counting, measuring, and describing the shapes of objects. It deals with logical reasoning and quantitative calculation, and its development has involved an increasing degree of idealization and abstraction of its subject matter.

Math is all around us, in everything we do. It is the building block for everything in our daily lives, including mobile devices, architecture (ancient and modern), art, money, engineering, and even sports...

4 0

2 years ago

Read 2 more answers

A fireworks store is offering 15% off all fireworks. If you come to the store on the fourth of July, you get an extra 15% off th

MrRa [10]

15% off all fireworks
extra 15% off on July Fourth.

$112.25*.15= 16.8375
112.25-16.8375= 95.1625 *.15= 14.274375
95.1625-14.274375= 80.888125

$80.89 is the price.

3 0

2 years ago

Slope 3, passing through the point (2,2)

den301095 [7]

(y-y1)=m(x-x1) where m is the slope and (x1 and y1 ) are the points

(y-2) = 3(x-2)

y-2=3x-6 add 2 to each side

y-2+2=3x-6+2

y=3x-4

5 0

3 years ago