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3 years ago

7

There are 12 math classrooms. Each classroom needs 2 pencil sharpeners. Each pencil sharpener costs $2.45, including tax. How mu

ch does it cost to purchase enough pencil sharpeners for the math classroom? *

1 answer:

disa [49]3 years ago

3 0

Answer:

$58.80 for 12 math classrooms

Step-by-step explanation:

$2.45 x 2 = $4.90

12 x $4.90 = $58.80

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In simplest form …..

777dan777 [17]

Answer:

2 $\sqrt[3]{2}$

Step-by-step explanation:

$\sqrt[3]{54} - \sqrt[3]{2}$

$\sqrt[3]{2 * 3 * 3 * 3}$ - $\sqrt[3]{2}$ Prime factorization.

$3\sqrt[3]{2}$ - $\sqrt[3]{2}$ Simplify the radical.

2 $\sqrt[3]{2}$ Subtract.

8 0

3 years ago

How do I solve this equation and check the solutions?

IgorLugansk [536]

<h3>SOLUTION :-</h3>

<u>By squaring on both sides :</u>

$: \implies \sf {\big( \sqrt{20 - 8x} \:\big)}^{2} = x^2 \\ \\$

$:\implies \sf {20 - 8x} = {x}^{2} \\ \\$

<u>Solving quadratic equation :</u>

$: \implies\sf{ {x}^{2} + 8x - 20 = 0 } \\ \\$

$: \implies\sf{ {x}^{2} + (10 - 2)x - 20 = 0 } \\ \\$

$: \implies\sf{ {x}^{2} + 10x - 2x - 20 = 0 } \\ \\$

$: \implies\sf{ x(x + 10) - 2(x + 10 )= 0 } \\ \\$

$:\implies\sf{( x + 10 )(x - 2)= 0 } \\ \\$

$: \implies\sf x + 10 = 0 \: or \: x - 2 = 0 \\ \\$

$: \implies\sf x = 0 - 10\: or \: x = 0 + 2\\ \\$

$: \implies \underline{\boxed{ \bf{x = - 10 \: or \: x = 2}}}$

$\huge {\therefore}$ The roots of this equation are -10 and 2.

3 0

3 years ago

Read 2 more answers

A physical education teacher plans to divide the seventh graders at Wilson Middle School into teams of equal size of year-ending

Crank

Step-by-step explanation:

Consider the provided information.

The total number of students are: 24+26+21=71

He wants each team will have the same number of students between 5 and 9.

The number between 5 to 9 are 6, 7 and 8.

The number 71 is a prime number so we need to divide the 71 students in group so that minimum students left without team.

Dividing 6 students in each group.

Number of teams: $\frac{71}{6}$ = 11 teams and 5 students.

Dividing 7 students in each group.

Number of teams: $\frac{71}{7}$ = 10 teams and 1 students.

Dividing 8 students in each group.

Number of teams: $\frac{71}{8}$ = 8 teams and 7 students.

Thus, we can not divide 71 students into equal teams, but 70 divided by 7 gives the least students left out i.e 10 teams each with 7 students and only 1 student will remain at last.

6 0

3 years ago

Si se invierten $ 500 a una tasa de 5% anual. Hallar el valor futuro a 3 años si el interés es compuesto trimestralmente.

9966 [12]

Answer:

the future value is $5800.38

Step-by-step explanation:

Given that

The invested amount i.e present value is $500

The rate is 5 % per year so quarterly rate is 5% ÷ 4 = 1.25%

The time period is 3 per year so for quartely it is 3 × 4 = 12

We need to find out the future value

So as we know that

Future value = Present value × (1 + rate of interest)^time

= $500 × (1 + 0.0125)^12

= $580.38

hence, the future value is $5800.38

5 0

3 years ago

A ladder 5 feet long leans against a wall and makes an angle of 65% with the ground. a. Find, to the nearest tenth of a foot, th

SpyIntel [72]

Answer: 2.1 feet

Step-by-step explanation:

The ladder forms a right angle triangle with the wall and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height from the top of the ladder to the base of the wall represents the opposite side of the right angle triangle.

The distance, d from the bottom of the ladder to the base of the wall represents the adjacent side of the right angle triangle.

To determine the distance, d from the bottom of the ladder to the base of the wall, we would apply we would apply the cosine trigonometric ratio.

Cos θ = adjacent side/hypotenuse. Therefore,

Cos 65 = d/5

d = 5Cos 65 = 5 × 0.4226

d = 2.1 feet

7 0

3 years ago