Name the property illustrated by the equation.

Gopal spent 3/5 of his money in the first week and 1/3 of the remainder in the second week. He spent $110 altogether. How much m

saul85 [17]

First let's find out what 1/3 of 3/5 is. To do that, we have to multiply 1/3 by 3/5 which equals 3/15, which simplifies to 1/5.

Since we know that Gopal spent 110, we know that 110 is equal to 4/5. We have to find the last 1/5. To do this, divide 110/5 = 22

The answer is 22 :)

I hope this helps! :)

5 0

3 years ago

There are 72 boys and 90 girls on the math team for the next math competition Mr. Johnson would like to arrange all the students

yawa3891 [41]

Answer:

Mr. Johnson can arrange 18 students in each row, that is 4 rows of boys and 5 rows of girls.

Step-by-step explanation:

Given:

Number of boys = 72

number of girls = 90

We need to arrange students in rows with equal number of only boys and only girls.

To find the maximum number (x) of boys or girls in each row, we will find the GCF (Greatest Common Factor) of the numbers 72 and 90, such that 'x' divides both numbers evenly without a remainder.

Now to find GCF we will factorize both numbers.

$72 = 2\times2\times2\times3\times3$

$90= 2\times 3\times 3\times 5$

from above we can say that;

GCF = $2\times 3\times 3 = 18$

Hence Mr. Johnson can arrange 18 students in each row, that is 4 rows of boys and 5 rows of girls.

5 0

3 years ago

What is the answer to this math question 2 1/12-5 5/6

AleksandrR [38]

The solution is:

$2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4} \text{ or } -3.75$

Solution:

We have to solve the given expression

Given expression is:

$2\frac{1}{12} - 5\frac{5}{6}$

Let us first convert the mixed fraction to improper fraction

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator.

Thus we get,

$2\frac{1}{12} = \frac{2 \times 12 + 1}{12} = \frac{25}{12}$

$5\frac{5}{6} = \frac{ 5 \times 6 +5}{6} = \frac{35}{6}$

Thus the given expression becomes,

$2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{35}{6}$

Make the denominators same for easier calculations

$2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{35 \times 2}{6 \times 2}\\\\2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{70}{12}\\\\2\frac{1}{12} - 5\frac{5}{6} = \frac{25-70}{12}\\\\2\frac{1}{12} - 5\frac{5}{6} =\frac{-45}{12}$

Reducing to lowest terms, we get

$2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4}$

In decimal form, we get

$\rightarrow \frac{-15}{4} = -3.75$

Thus the solution is:

$2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4} \text{ or } -3.75$

6 0

4 years ago

At party each guest receives five party favors. Write an expression that describes the total number of party favors bought if th

VladimirAG [237]

Answer:

T = 5g + 3

Step-by-step explanation:

The information provided is summarized as follows:

At party each guest receives five party favors
The variable "g" represent the number of guests.
Only three favors are left at the end.

Let T represent the total number of favors bought.

The expression representing the total number of favors given to the guests is:

5g.

Then the expression representing the total number of favors bought is:

T = 5g + 3

5 0

3 years ago

(HELP ASAP!) Which postulate or theorem proves △HJZ∼△WJR ?

Tomtit [17]

Answer:

SAS Similarity Theorem

Step-by-step explanation:

we know that

SAS Similarity Theorem: States that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar

In this problem

∠HJZ=∠RJW ----> by vertical angles

and

WJ/HJ=JR/JZ

substitute the values

8/4=6/3

2=2 ----> is true

so

Two sides of triangle HJZ are proportional with the two corresponding sides of triangle WJR and the included angle is congruent

therefore

Triangles are similar by SAS Similarity Theorem

8 0

4 years ago