Amos bought 5 cantaloupes for $8. How many cantaloupes can he buy for $24?

3/4 divided by 6 and 2/3

Talja [164]

It would be 0.125 for the first answer

8 0

3 years ago

Read 2 more answers

X and y simplifying problem. Please explain how to do thiese. I will gove 15 points

Strike441 [17]

$\dfrac 56 x + \dfrac25 y - \dfrac14 x + \dfrac3{10} y$

First, combine like terms:

$\left(\dfrac 56 - \dfrac14\right) x + \left(\dfrac25 + \dfrac3{10}\right)y$

Now just simplify the coefficients of x and y. We do this by converting each pair of fractions to ones with a common denominator. Then we can combine them easily.

$\dfrac56 - \dfrac14 = \dfrac56\cdot\dfrac22 - \dfrac14\cdot\dfrac33 = \dfrac{5\cdot2}{6\cdot2} - \dfrac{1\cdot3}{4\cdot3} = \dfrac{10}{12} - \dfrac3{12} = \dfrac{10-3}{12} = \dfrac7{12}$

$\dfrac25 + \dfrac3{10} = \dfrac25\cdot\dfrac22 + \dfrac3{10} = \dfrac{2\cdot2}{5\cdot2} + \dfrac3{10} = \dfrac4{10} + \dfrac3{10} = \dfrac{4+3}{10} = \dfrac7{10}$

So the simplified expression would be

$\dfrac7{12} x + \dfrac7{10} y$

4 0

3 years ago

3^-3 x 10^-3 what is the value?

Semenov [28]

Answer:

$\frac{1}{27000}$ or $3.703$ × $10^{-5} \\$

Step-by-step explanation:

$3^{-3} \\$ is the same as $\frac{1}{3}^{3}$ or $\frac{1}{27}$ .

$10^{-3}$ is the same as $\frac{1}{10}^3$ or $\frac{1}{1000}$ .

So, $3^{-3}$ × $10^{-3}$ is basically $\frac{1}{3}^{3}$ × $\frac{1}{10}^3$ or $\frac{1}{27}$ × $\frac{1}{1000}$ , which both are simplified to $\frac{1}{27000}$ .

$\frac{1}{27000}$ can also be written as $3.703$ × $10^{-5} \\$ in scientific notation in decimal form.

7 0

2 years ago

Find the value of x. A. 53–√ in B. 241−−√ in C. 55–√ in D. 9

castortr0y [4]

Answer:

<h2>x = 5√3 inches</h2>

Step-by-step explanation:

Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side x

Using Pythagoras theorem we have

${a}^{2} = {b}^{2} + {c}^{2}$

where a is the hypotenuse

Substitute the values into the above formula

The hypotenuse is 10 inches

We have

${10}^{2} = {5}^{2} + {x}^{2}$

${x}^{2} = {10}^{2} - {5}^{2}$

${x}^{2} = 100 - 25$

${x}^{2} = 75$

We have the final answer as

<h3>x = 5√3 inches</h3>

Hope this helps you

3 0

3 years ago

Kalone has $175 and needs to save at least $700 for a new computer. If he can save 35$ per week, what is the minimum number of w

34kurt

Hello!

To find the minimum number of weeks Jakob will need to wait if he saved 35 dollars per week, we would need to create an inequality equation.

Since he needs to save at least 700 dollars, it can be represented by the the greater than or equal to symbol. Also, the variable x, will be used in this equation representing the number of weeks. Then, we can create an equation for this problem.

35x + 175 ≥ 700 (subtract 175 from both sides)

35x ≥ 525 (divide both sides by 35)

x ≥ 15

Therefore, Jakob will have to wait a minimum of 15 weeks in order to save at least 700 dollars for a new computer.

3 0

3 years ago