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3 years ago

Write the sentence as an expression with a variable : 6 less than the quotient of 5 and a number

Mathematics

1 answer:

Ludmilka [50]3 years ago

3 0

Answer:

6<(5/n)

Step-by-step explanation:

6 less than <

Quotient is the answer of division

Let "a number = n"

Quotient of 5 and a number is 5/n

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What is the product PLEASE HELP

cluponka [151]

Answer:

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor, that is

- 2x(- 4x - 3) - 9y²(- 4x - 3) ← distribute both parenthesis

= 8x² + 6x + 36xy² + 27y² → C

7 0

3 years ago

Shelby mixes a 25% bleach solution with 5 cups of a 10% bleach solution, resulting in a 20% bleach solution. The table shows the

german

Answer:

Step-by-step explanation:

We will use a system of equations to solve this. We do not know how much of the 25% bleach solution is used; we will use x to represent this. We know that 5 cups of the 10% solution was used. We do not know how much of the resulting solution we have; we will use y to represent this. This gives us the equation

x+5 = y

Using the decimal forms of the percentages for each solution, we have 0.25x (25% solution for x cups), 0.1(5) (10% solution for 5 cups) and 0.2y (20% solution for y cups); this gives us the equation

0.25x+0.1(5) = 0.2y

This gives us the system

$\left \{ {{x+5=y} \atop {0.25x+0.1(5)=0.2y}} \right.$

To use elimination, we will make the coefficients of x the same by multiplying the top equation by 0.25:

$\left \{ {{0.25(x+5=y)} \atop {0.25x+0.5=0.2y}} \right. \\\\\left \{ {{0.25x+1.25=0.25y} \atop {0.25x+0.5=0.2y}} \right.$

We will now subtract the second equation from the first:

$\left \{ {{0.25x+1.25=0.25y} \atop {-(0.25x+0.5=0.2y)}} \right. \\\\0.75 = 0.05y$

Divide both sides by 0.05:

0.75/0.05 = 0.05y/0.05

15 = y

There were 15 cups of the resulting 20% solution. Substituting this into the first equation, we have

x+5=15

Subtract 5 from each side:

x+5-5=15-5

x = 10

7 0

3 years ago

Read 2 more answers

Jessica and Martha each have a bag of cookies with unequal quantities. They have 30 cookies total between the two of them. Each

Basile [38]

Answer:

Part 1) The inequality that describes the relationship between the number of cookies each one of them has is $x^{2} -30x+224\geq 0$

Part 2) Jessica has at least 2 cookies more than Martha

Step-by-step explanation:

Part 1) Find the inequality that describes the relationship between the number of cookies each one of them has

Let

x----> the number of cookies when Jessica started

30-x ----> the number of cookies when Martha started

we know that

Each of them ate 6 cookies from their bag

The cookies left in each bag are

(x-6) ----> Jessica

and (30-x-6)=(24-x) ---> Martha

The product is equal to (x-6)(24-x)

The product of the number of cookies left in each bag is not more than 80.

$(x-6)(24-x)\leq 80\\ \\24x-x^{2}-144+6x\leq 80\\ \\-x^{2} +30x-144-80\leq 0\\ \\-x^{2} +30x-224\leq 0$

Multiply by -1 both sides

$x^{2} -30x+224\geq 0$

Part 2) Solve the quadratic equation

$x^{2} -30x+224\geq 0$

Solve by graphing

The solution is x=16 cookies

(30-x)=30-16=14 cookies

therefore

The number of cookies when Jessica started was 16 cookies

The number of cookies when Martha started was 14 cookies

The number of cookies left in each bag is equal to

Jessica

16-6=10 cookies

Martha

14-6=8 cookies

Jessica has at least 2 cookies more than Martha

7 0

3 years ago

Read 2 more answers

11/98 x 2/99 = ???????

Nutka1998 [239]

All we have to do is multiply the numerator by the other numerator and the denominator by the other denominator.
11•2=22
98•99=9702
They are both even, so we can divide by two with both numbers.
11/4851
4851 can be divided by 11. So we can divide the top and bottom by 11.
1/441 is the product.

3 0

3 years ago

Mrs. Murphy earns a 3.5% commission at her job in retail. How much does she need to sell in order to earn $630

nexus9112 [7]

Answer

$22.05

She need to sell she need to sell $22.05 in order to earn in order to earn $630

4 0

3 years ago

Read 2 more answers

Write the sentence as an expression with a variable : 6 less than the quotient of 5 and a number​

Write the sentence as an expression with a variable : 6 less than the quotient of 5 and a number