Select the correct answer.
Simplify the following expression.

4^-11/3 / 4^-2/3

A.

B.

C.

D.

Answer:

$103,000

Step-by-step explanation:

teacher : 38,900 x 5 = 194,500

principal : 59,500 x 5 = 297,500

$297,500 - $194,500 = $103,000 more

Answer:

no

Step-by-step explanation:

3x−2+x+8=−9x−7

4x+6=−9x−7

4x+6+9x=−7

13x+6=−7

13x=−13

x=−1

Answer:

56/100 or 0.56

Step-by-step explanation:

you first need the dinominators to be the same so to figure that at you can do 100 divided by 10 which is 10. so to make the doniomators even you need to multipy the 2/10 by 10. so 2x10=20 and 10x10=100 so that makes the fraction 20/100. now you have 20/100 + 36/100 =? which makes it a lot easier. so now all you do is add ONLY THE NUMERATOR so you do 20+36 which is 56 and you keep the 100 and that 56/100.

To make it into a decimal, this one is easy because the denominater is 100 so you just take 56.0 and move the decimal two place values so its 0.56. :)

Answer: 26% of 84 is 21.84

Step-by-step explanation:

0.26 * 84 = 21.84

Answer:

26%

of

84

=

21

Step-by-step explanation:

nwhsk sgswke dydownegsownsgsos isbstwkw

Answer:

385,000

Step-by-step explanation:

Answer:

(rectangular prism) Opposite sides are equal;

Area of bottom base:-

11 x 15 = 165

Above base, (165 x 2) = 330

Area of front:-

15 x 32 = 480

Area of back, (480 x 2) = 960

Area of left side:-

11 x 32 = 352

Area of right side, (352 x 2 ) = 704

Add the sums of all the areas;

330 + 960 + 704 = 1,994 square cm

Answer: A

Step-by-step explanation:

Since DE=4 and AB=2, we know the scale factor of the dilation was 4/2 = 2.

Answer:

2 people are waiting if you want a whole number

The probability that the employee is idle in the shopping mall based on the information given will be 0.33.

From the information given, it is believed that people will arrive at the desk at a rate of 20 per hour and that it takes an average of 2 minutes to answer a question.

Therefore, the probability that the employee is idle will be:

= 1 - (20/30)

= 1 - 0.67

= 0.33

Therefore, probability that the employee is idle is 0.33.

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The volume of a box is the amount of space in the box

The dimensions that minimize the cost of the box is 4 in by 4 in  by 4 in

The dimensions of the box are:

Width = x

Depth = y

So, the volume (V) is:

[tex]V = x^2y[/tex]

The volume is given as 64 cubic inches.

So, we have:

[tex]x^2y = 64[/tex]

Make y the subject

[tex]y = \frac{64}{x^2}[/tex]

The surface area of the box is calculated as:

[tex]A =x^2 + 4xy[/tex]

The cost is:

[tex]C = 2x^2 + 4xy[/tex] --- the base is twice as expensive as the sides

Substitute [tex]y = \frac{64}{x^2}[/tex]

[tex]C = 2x^2 + 4x * \frac{64}{x^2}[/tex]

[tex]C =2x^2 + \frac{256}{x}[/tex]

Differentiate

[tex]C' =4x - \frac{256}{x^2}[/tex]

Set to 0

[tex]4x - \frac{256}{x^2} = 0[/tex]

Multiply through by x^2

[tex]4x^3 - 256= 0[/tex]

Divide through by 4

[tex]x^3 - 64= 0[/tex]

Add 64 to both sides

[tex]x^3 = 64[/tex]

Take the cube roots of both sides

[tex]x = 4[/tex]

Recall that:

[tex]y = \frac{64}{x^2}[/tex]

So, we have:

[tex]y = \frac{64}{4^2}[/tex]

[tex]y = 4[/tex]

Hence, the dimensions that minimize the cost of the box is 4 in by 4 in  by 4 in

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Answer:

14

sorry if i need any.

Step-by-step explanation:

9-8=1 + 13 = 14

Answer:

Jack ate two and a half pieces of a pie. Amy ate one and three fourth pieces of a pie. How much pie did they eat altogether?

Step-by-step explanation:

Jack ate 2 1/2 pie

Amy ate 1 3/4 pie

2 1/2 + 1 3/4 = 4 1/4

They ate four and one-fourth pieces of pie altogether.

Answer:

A. 9

Explanation:

2×4=8 and 8+1=9 so that's it.

Answer: x < -3.5

Step-by-step explanation:

Subtract 3 from both sides and we get

-4x > 14

We divide -4 on both sides, but be careful because we have to flip the sign since it's a negative number.

x < -3.5

Answer:

84/25

Step-by-step explanation:

Hello.

Let's solve the absolute value inequality.

In order to do that, let's imagine that |3x-4| is positive.

Since the absolute value of |3x-4| is 3x-4, we write 3x-4 and solve:

[tex]\mathrm{3x-4\geq 8}[/tex]

Now, move -4 to the right, using the opposite operation:

[tex]\mathrm{3x\geq 8+4}[/tex]

Add:

[tex]\mathrm{3x\geq 12}[/tex]

Divide both sides by 3:

[tex]\mathrm{x\geq 4}[/tex]

However, this is only 1 solution.

Let's imagine that |3x-4| is a negative number.

So, the inequality looks like so:

[tex]\mathrm{-3x+4\geq 8}[/tex]

Move 4 to the right:

[tex]\mathrm{-3x\geq 8-4}[/tex]

[tex]\mathrm{-3x\geq 4}[/tex]

Divide both sides by -3:

[tex]\mathrm{x\leq \displaystyle-\frac{4}{3} }[/tex]

Therefore, the solutions are

[tex]\mathrm{x\geq 4}\\\mathrm{x\leq \displaystyle-\frac{4}{3} }[/tex]

[tex]\bigstar[/tex] Note:

If we divide both sides of an inequality by a negative number, we flip the inequality sign.

I hope this helps you.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

[tex]\begin{array}{ccll} houses&weeks\\ \cline{1-2} 7&5\\ x&18 \end{array}\implies \cfrac{7}{x}=\cfrac{5}{18}\implies 126=5x \\\\\\ \cfrac{126}{5}=x\implies 25\frac{1}{5}=x[/tex]

Answer:

9 for 14 is slightly less expensive, but for convenience 3 for 5 is better

Step-by-step explanation:

5/3=1.(6)

14/9=1.(5)

Answer:

Step-by-step explanation:

1399 rounds to 1400 so A is not the answer

1449 rounds to 1400 so B is not the answer

1589 rounds to 1600 so D is not the answer

The hundreds place is second from the left. Third from the left determines what happens to second from the left. 5 and over round up. Less than 5 just use the first 2 digits left and 2 zeros.

The answer is C

1457 rounds to 1500

1547 rounds to 1500

Answer:

Explanation:

collect variables:

simplify:

final answer:

Answer:7picm Circumference = pi x d Diameter = 7 C = pi x 7 C = 7pi cm.

Step-by-step explanation:

The circumference of the circle with diameter 2 cm is 6.28 cm.

A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.

Given that a circle has a diameter of 2 cm we need to find its circumference,

The circumference of a circle is given by, π × diameter

Therefore, the circumference of the circle with diameter 2 cm =

= π × diameter

= π × 2

= 3.14 × 2

= 6.28 cm

Hence, the circumference of the circle with diameter 2 cm is 6.28 cm

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Answer:

9+7=16

Step-by-step explanation:

Step-by-step explanation:

Since 88 is for one night and 20 per night in fees and taxes.

Step 1 : Calculate for $88

[tex] \frac{88n}{88} \\ [/tex]make N the subject of formula

[tex]n = \frac{88}{88} \\ [/tex]

N= 1

Step 2: Calculate for $20

[tex] \frac{20n}{20} \\ [/tex]

make N the subject of formula

[tex]n = \frac{20}{20} [/tex]

N = 1

Answer:

V = [tex]\frac{400}{3}[/tex][tex]\pi[/tex]

Step-by-step explanation:

Volume of a cone is:

[tex]V = \pi r^{2} \frac{h}{3}[/tex]

Substitute values given:

[tex]V = \pi (5^{2} )(\frac{16}{3})[/tex]

[tex]V = \pi (25)(\frac{16}{3} )[/tex]

V = [tex]\pi \frac{400}{3}[/tex]

V = [tex]\frac{400}{3}[/tex][tex]\pi[/tex]

Answer:  52

Step-by-step explanation:

We can plug in the values for a and b.

= 8*3^2 - 6*5 + 10

= 72 - 30 + 10

= 42 + 10

= 52

Answer:

52

Step-by-step explanation:

Start by substituting the given values into the expression:

[tex]8a^2-6b+10\\8(3^2)-6(5)+10\\\text{Solve the expression}\\8(9)-30+10\\72-30+10\\42+10\\52[/tex]

Remember Order of Operations:

Parentheses

Exponents

Multiplication/Division (Whichever comes first)
Addition/Subtraction (Whichever comes first)

Answer:

18 kids

Step-by-step explanation:

because you multiply 0.2 by 90 and it equals 18

Step-by-step explanation:

1. The y-intercept is the value for y when x = 0.

When x = 0, y equals 7.

Represented as:

(0, 7)

2. How to find the Slope?

Find 2 points on the graph then use the slope formula.

[tex] \frac{y2}{x2} - \frac{y1}{x1} = m[/tex]

m = slope

2 points:

(0, 7)

(2, 3)

Substitute the points into the formula:

[tex] \frac{3}{2} - \frac{7}{0} = m[/tex]

Subtract:

[tex] \frac{ - 4}{2} = m[/tex]

[tex] \frac{ - 4}{2} = m[/tex]Simplify:

[tex] \frac{ - 4 \div 2}{2 \div 2} = - \frac{2}{1} [/tex]

The slope is -2.

Forming an equation:

Use the slope-intercept format.

[tex]y = mx + b[/tex]

m = slope

b = y-intercept

Substitute 7 for b, and -2 for m.

[tex]y = - 2x + 7[/tex]