Which expression best estimates Negative 18 and one-fourth divided by 2 and two-thirds?

James answered 14 items correctly on a 16-item quiz. what percent did he answer correctly?

Troyanec [42]

So,

I like to simplify a fraction first. This is what I do when I'm in a store trying to find the unit price.

$\frac{14}{16}$

Factor.
$\frac{2*7}{2*2*2*2}$

Cross out ones.
$\frac{7}{2*2*2}$

Multiply it out.
$\frac{7}{8}$

In my head, I remember that one-eighth is equal to 0.125.

So seven-eighths is equal to 0.125 times 7.
0.125 * 7 = 0.875

Convert to percent form.
0.875 --> 87.5%

James answered 87.5% of his quiz correctly.

I actually have the decimal equivalents for eighths in my head when I'm shopping. So once I get seven-eighths, I immediately know how much that is. I can also subtract 0.125 from 1.000 to get seven-eighths.

3 0

3 years ago

Read 2 more answers

Fairview auto repair originally paid its mechanics $20 per hour. Now that there is a new owner, the mechanics make 5% less. How

sattari [20]

Answer:

The new amount paid to mechanics per after by new owner is $ 19 Answer

Step-by-step explanation:

Given as :

The amount paid to mechanics initially = $ 20 per hour

Now, The new owner paid less at the rate = 5%

Let the amount paid to the mechanics after 5 % less = x per hour

So, According to question

The new amount paid to mechanics per hour = initial amount paid per hour × ( 1 - $\frac{rate}{100}$ )

or, The new amount paid to mechanics per hour = $ 20 × ( 1 - $\frac{5}{100}$ )

I.e The new amount paid to mechanics per hour = $ 20 × 0.95

∴ The new amount paid to mechanics per hour = $ 19

Hence The new amount paid to mechanics per after by new owner is $ 19 Answer

7 0

2 years ago

Please help! acellus

ch4aika [34]

Answer:

The number that belongs in the green box is equal to 909.

General Formulas and Concepts:
Algebra I

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Trigonometry

[Right Triangles Only] Pythagorean Theorem:
$\displaystyle a^2 + b^2 = c^2$

a is a leg
b is another leg
c is the hypotenuse

Step-by-step explanation:

Step 1: Define

Identify given variables.

a = 30

b = 3

c = x

Step 2: Find x

Let's solve for the general equation that allows us to find the hypotenuse:

[Pythagorean Theorem] Square root both sides [Equality Property]:
$\displaystyle \begin{aligned}a^2 + b^2 = c^2 \rightarrow c = \sqrt{a^2 + b^2}\end{aligned}$

Now that we have the formula to solve for the hypotenuse, let's figure out what x is equal to:

[Equation] Substitute in variables:
$\displaystyle \begin{aligned}c & = \sqrt{a^2 + b^2} \\x & = \sqrt{30^2 + 3^2}\end{aligned}$
Evaluate:
$\displaystyle \begin{aligned}c & = \sqrt{a^2 + b^2} \\x & = \sqrt{30^2 + 3^2} \\& = \boxed{ \sqrt{909} } \\\end{aligned}$