Choose the correct solution and graph for the inequality
Z+1/8>1/5

X<13/40
Z<3/40
Z>13/40
Z<3/40

7 rows in total. However, to be more precise, it's 7.75. But you round that down to 7, so 7 exact shelves. All you do is 558 divided by 72, and you get 7.75 which is 7 shelves cause you can't half 7 and .75 shelves

An example that has no real solution could be an equation like:

-11x+4=-11x-11

Answer: 1/2

Step-by-step explanation:

7

11

×

22

28

=

7 × 22

11 × 28

=

154

308

=

154 ÷ 154

308 ÷ 154

=

1/2

(15+24a)x

Because when using distributed

15(x)+24a(x)

Is

15x+24ax

This expression would equal to 8.

Answer:

8

Step-by-step explanation:

45, you substitute 3 in for k and multiply

21 miles per hour would be her miles per hour.

Answer:

The answer is .4sqr ft

Step-by-step explanation:

That board is 2 feet by 4 feet:

Area = 2 x 4 = 8 sq. ft.

The hole will have an area that is 5% of this value.

8 sq. ft x 0.05 = 0.4 sq. ft.

Answer:

0.4 sq. ft.

That would be 24 inches the cornholes probability is due to the angles and geometric force. If you throw it at the 24 by 48 dimension of thee board the probability for it to actually go in is a small but more likely chance. if you tweak how hard you are tossing' it the more results you will get of width and distance from the hole. Eventually tho you will indefinitely get it in to the hole.

The two numbers are 41 & 37.

The way to solve this is by setting up an equation. We know that 2 numbers are going to equal 78, so here would be the general equation (let x represent the number we don't know):

(x) + (x + 4) = 78

Now, we need to simplify it (combine like terms):

2x + 4 = 78

Then you can solve it like any other equation. Subtract 4 on both sides:

2x = 74

Divide by 2 on both sides:

x = 37.

So, now you know one number is equal to 37 and that the other is 37 + 4.

That's how you get 37 & 41.

X = ?

X +4= ?

(X+4) + x = 78

2X + 4 = 78. Subtract 4 from both sides

You get 2X = 74.  Divide both sides by 2 and you get x= 37

Now plug 37 in and you get 37 and 41

Any person who is 55 inches or taller can go on the carnival ride. This is an inference made using inequalities in Mathematics. For instance, if one person is 58 inches tall and another is 52 inches tall, only the person 58 inches tall meets the height condition.

The criterion to go on the carnival ride, as provided in the question, is that the person must be at least 55 inches tall.

Therefore, any person who is 55 inches or taller can go on the carnival ride. This is a basic application of inequalities in Mathematics.

For example, if John is 58 inches tall and Maria is 52 inches tall, only John would be able to go on the ride because he meets the height requirement (58 is greater than or equal to 55), whereas Maria does not (52 is less than 55).

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Anyone who meets or exceeds the minimum height requirement of 55 inches can go on the carnival ride, as this is the condition set by the operators.

Answer:

[tex]9*10^{11}[/tex]

Step-by-step explanation:

we have

[tex](3*10^{6})*(3*10^{5})[/tex]

we know that

[tex](a*10^{b})*(a*10^{c})=(a*a)*10^{(b+c)}[/tex] -----> the bases are multiplied and the exponents are added up

so

in this problem

[tex](3*10^{6})*(3*10^{5})=(3*3)*10^{(6+5)}[/tex]

[tex]=9*10^{11}[/tex]

Answer:

The first box plot.

Step-by-step explanation:

In a box plot, the lower quartile is the right hand side of the box.  In the first plot, this is 3.

The upper quartile is the left hand side of the box.  In the first plot, this is 8.

The interquartile range is the difference between these two values:

8-3 = 5.

Answer:

the first option

Step-by-step explanation:

Only 19 is a function because a function only has one y value for every x value.  For the other graphs, there are at least two y values for each x value.

Answer:

29.31 cubic inches

Step-by-step explanation:

The dimension of the cylindrical mold is:

Radius (r) = 2 inches

Height of the cylinder (h)= 5 inches

The dimension of the sphere is:

Radius (r) = 2 inches

Lets calculate the amount of wax needed for the cylindrical candle:

A [tex]=\pi \times r^2\times h[/tex]

[tex]A=3.14\times 2^2\times 5=3.14\times 4\times 5=62.8[/tex] cubic inches

Now, lets calculate the amount of wax needed for the spherical mold:

[tex]A=\frac{4}{3}\times \pi \times r^3=\frac{4}{3}\times 3.14 \times (2)^3=\frac{4}{3}\times 3.14\times8=33.49[/tex] cubic inches

So the approximate difference in the amount of wax needed to make a candle from each of these molds is given by:

Amount of wax for the spherical mold subtracted by the amount of wax for cylindrical mold:

[tex]62.80-33.49=29.31[/tex] cubic inches

So the approximate difference in the amount of wax is 29.31 cubic inches.

Answer:

29.31

Step-by-step explanation:

The annual Income is 49,000 $.

It is required to find the family’s annual income.

The arithmetic refers to working with numbers by doing addition, subtraction, multiplication, and division. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.

Given:

Say, the annual income =x $

(32/100)*x=15680

x=15680*100/32

x =49,000 $

Therefore, the annual Income is 49,000 $

Learn more about arithmetic here:

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i think the answer is 5% compounded annually for 2 years.

                                              hope it helps

Answer:

Sami should invest in 1st case, to get the maximum money.

Step-by-step explanation:

Sami has $500 to invest.

We will use the compound interest formula :

[tex]A=p(1+r/n)^{nt}[/tex]

Case 1:

p = 500

r = 3% or 0.03

t = 4

n = 1

Putting the values in formula we get,

[tex]A=500(1+0.03/1)^{4}[/tex]

[tex]A=500(1.03)^{4}[/tex]

A = $562.75

Case 2:

p = 500

r = 4% or 0.04

n = 1

t = 3

Putting the values in formula we get,

[tex]A=500(1+0.04/1)^{3}[/tex]

[tex]A=500(1.04)^{3}[/tex]

A = $562.43

Case 3:

p = 500

r = 2.5% or 0.025

n = 3

t = 6

Putting the values in formula we get,

[tex]A=500(1+0.025/3)^{6}[/tex]

[tex]A=500(1.0083)^{6}[/tex]

A = $525.42

Case 4:

p = 500

r = 5% or 0.05

n = 1

t = 2

Putting the values in formula we get,

[tex]A=500(1+0.05/1)^{2}[/tex]

[tex]A=500(1.05)^{2}[/tex]

A = $551.25

Comparing all values we can see that case 1 has the highest amount.

Hence, Sami should invest in 1st case, to get the maximum money.

[tex]2^{-10} = \frac{1}{2^{10}} = \frac{1}{1024}[/tex]

A negative power is equal to 1/that to the positive power.

Final answer:

2 to the -10th power equals 1/1024 or 0.0009765625 in decimal form. It is calculated by taking the reciprocal of 2 raised to the 10th power, following the rules of negative exponents.

Explanation:

The student is asking about 2 to the -10th power, which is a mathematical expression involving negative exponents. When dealing with negative exponents, it's important to remember that a negative exponent indicates the reciprocal of the base raised to the absolute value of the exponent. Therefore, to calculate 2 to the -10th power, we use the following steps:

Identify the base (2) and the negative exponent (-10).

Understand that a negative exponent means the reciprocal is taken.

Calculate the reciprocal of the positive exponent: 2¹⁰.

Since 2¹⁰ is 1024, the reciprocal is 1 divided by 1024.

So, 2 to the -10th power equals 1/1024, which can also be written as 0.0009765625 in decimal form. This concept is crucial for understanding scientific notation, where negative exponents represent small numbers.

No.

|y| = x isn't a function because it doesn't pass the vertical-line test. If you need more clarification, please let me know :)

Answer:

B. $76.86

Step-by-step explanation:

Step 1: Insurance premium is $0.33 per $100.

Step 2: In 279500, there are 2795 hundreds of dollar.

Step 3: find the premium.

2795*0.33 = 922.35

This is premium per year.

Step 4: There are 12 months in a year.

Therefore, his month mortgage payment = 922/35 = $76.86

Thank you.

Answer:

Step-by-step explanation:

1. B

2. C

The answer to the first is C

Second is B. Hope I'm not mistaken.

100x^2−36=4(5x+3)(5x−3)

I will try my best to assist you with your question.

4/9 to -2/9 = -2/3

Show work!

_____________________________

4/9 -4/9 = 0/9

0/9 + (-2/9) =-2/9

-4/9+-2/9= -6/9

-6/9=-2/3

The answer is -2/3

Hope I helped!

Good Luck!

x + (-7) = 3

To solve this, add 7 on both sides

Final Answer: x = 10

X+(-7)=3

x-7=3

Add 7 on both sides.

x-7+7=3+7

x=10

The answer is 7209.306

40% would be the answer because it has to equal 100% and 2/5 of it is 40%

Look at where the line crosses the X axis.

Here we see it crosses -2

So your answer is A (-2, 0)

The [tex]x[/tex]-intercept of the graph using the definition of intercepts is [tex](-2,0)[/tex].

Thus, option [tex]1[/tex] is correct.

A point on the y-axis, through which the slope of the line passes, is called as intercept . The point at which the line crosses [tex]x[/tex]- axis is called [tex]x[/tex] intercept and the point at which the line crosses [tex]y[/tex] - axis is called [tex]y[/tex]  intercept .

According to the information provided by the graph,

The line crossed [tex]x[/tex]- axis at [tex]x = -2[/tex].

So, the intercepts of  [tex]x\\[/tex] axis will be [tex](-2,0)[/tex].

The [tex]x[/tex]-intercept of the graph using the definition of intercepts is [tex](-2,0)[/tex].

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Answer:

15

15

Step-by-step explanation:

x + 20 = 35

   - 20   -20

        x = 15

5x - 14 = 16 + 3x

    + 14   +14

5x        = 30 + 3x

-3x                - 3x

2x         = 30

x            = 15