prsategazd

2021-12-26

To solve:

The proportion for the ratio of lime to sand in mortar

The proportion for the ratio of lime to sand in mortar

Bukvald5z

Beginner2021-12-27Added 33 answers

Approach.

The quotient of two numbers is called a ratio.

Ex:$\frac{5}{8}\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{or}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}5:8$

An equation indicating that two ratios are equal is called a proportion.

Ex:$\frac{3}{4}=\frac{15}{20},\frac{p}{q}=\frac{r}{s}$

In the proportion$\frac{p}{q}=\frac{r}{s}$ , the numbers p and s are called extremes, and the numbers r and q are called the means.

In any proportion, the product of the extremes is equal to the product of the means.

Ex:$ps=rq$

Two variables are said to be directly proportional or varies directly, if their ratio is a constant.

Ex:$\frac{a}{b}=k,a=kb$ where k is a constant.

Two variables are said to be inversely proportional or varies inversely, if their product is a constant.

Ex:$ab=k,a=\frac{k}{b}$ where k is a constant.

Variable a is said to be jointly proportional with b and c means$a=kbc$ where k is a constant.

Given:

The ratio of lime to sand in mortar is 3:7.

Calculation:

Let the number of bags of lime be x.

Set the proportion, if there are 21 bags of sand to make mortar and solve for no of lime bags x.

$\frac{3}{7}=\frac{x}{21}$

By property of proportions, the product of the extremes is equal to the product of the means.

$3\times 21=7\times x$

$63=7x$

$x=\frac{63}{7}$

$x=9$ bags

Therefore, number of lime bags that must be mixed with 21 bags of sand to make mortar are 9 bags.

Final statement:

The no of lime bags that must be mixed with 21 bags of sand to make mortar are 9 bags.

The quotient of two numbers is called a ratio.

Ex:

An equation indicating that two ratios are equal is called a proportion.

Ex:

In the proportion

In any proportion, the product of the extremes is equal to the product of the means.

Ex:

Two variables are said to be directly proportional or varies directly, if their ratio is a constant.

Ex:

Two variables are said to be inversely proportional or varies inversely, if their product is a constant.

Ex:

Variable a is said to be jointly proportional with b and c means

Given:

The ratio of lime to sand in mortar is 3:7.

Calculation:

Let the number of bags of lime be x.

Set the proportion, if there are 21 bags of sand to make mortar and solve for no of lime bags x.

By property of proportions, the product of the extremes is equal to the product of the means.

Therefore, number of lime bags that must be mixed with 21 bags of sand to make mortar are 9 bags.

Final statement:

The no of lime bags that must be mixed with 21 bags of sand to make mortar are 9 bags.

Steve Hirano

Beginner2021-12-28Added 34 answers

Step 1

Given:

$\frac{3}{8}=\frac{x}{21}$

Multiply both sides by 21.

$\frac{3}{7}\times 21=x$

Express$\frac{3}{7}\times 21$ as a single fraction.

$\frac{3\times 21}{7}=x$

Multiply 3 and 21 to get 63

$\frac{63}{7}=x$

Divide 63 by 7 to get 9.

$9=x$

Swap side so that all variable terms are on the left hand side

$9=x$

Answer: 9

Given:

Multiply both sides by 21.

Express

Multiply 3 and 21 to get 63

Divide 63 by 7 to get 9.

Swap side so that all variable terms are on the left hand side

Answer: 9

karton

Expert2022-01-04Added 613 answers

Step 1

Solution by Cross Multiplication

For the equation

The cross product is

Solving for x

and reducing

Step 2

Solution by Proportion

Since the equation is an equality

If

Then it is true that

Solving for x

Which expression has both 8 and n as factors???

One number is 2 more than 3 times another. Their sum is 22. Find the numbers

8, 14

5, 17

2, 20

4, 18

10, 12Perform the indicated operation and simplify the result. Leave your answer in factored form

$\left[\frac{(4x-8)}{(-3x)}\right].\left[\frac{12}{(12-6x)}\right]$ An ordered pair set is referred to as a ___?

Please, can u convert 3.16 (6 repeating) to fraction.

Write an algebraic expression for the statement '6 less than the quotient of x divided by 3 equals 2'.

A) $6-\frac{x}{3}=2$

B) $\frac{x}{3}-6=2$

C) 3x−6=2

D) $\frac{3}{x}-6=2$Find: $2.48\xf74$.

Multiplication $999\times 999$ equals.

Solve: (128÷32)÷(−4)=

A) -1

B) 2

C) -4

D) -3What is $0.78888.....$ converted into a fraction? $\left(0.7\overline{8}\right)$

The mixed fraction representation of 7/3 is...

How to write the algebraic expression given: the quotient of 5 plus d and 12 minus w?

Express 200+30+5+4100+71000 as a decimal number and find its hundredths digit.

A)235.47,7

B)235.047,4

C)235.47,4

D)234.057,7Find four equivalent fractions of the given fraction:$\frac{6}{12}$

How to find the greatest common factor of $80{x}^{3},30y{x}^{2}$?