solve for x and y 13x−28=24

Answer:

1. -83/7

2. -11.6666666

3. - square root of 133

4. 11 5/10

Answer:

30.42 in^2.

Step-by-step explanation:

Find the height:

sin 45 = 1/√2 = h/7.8

h = 7.8 /√2

the base = height = 7.8 /√2

Area = h * b

= (7.8 /√2)2

= 30.42.

Hey there!

P = I - E

P = I - E {Add values}

P = 72 - 125

= -53

Negative profit means loss, which means there was no gain

Hopes this helps

Considering the order of operations, the operation that should be performed last is given by:

B Subtraction.

The operations inside the parenthesis take precedence over every operation. Then, multiplication/division take precedence over sum/subtraction. If there are only multiplication/division or sum/subtraction, the precedence is from left to right.

In this problem, the expression is:

(1 x 2.5) + (52-13) + (6.7 - 5) - (98+8)

Solving the operations inside the parenthesis, the expression will be given by:

2.5 + 30 + 1.7 - 90

Only addition and subtraction, hence the order is from left to right, and the subtraction is done last, hence option B is correct.

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The correct statement is that the range of the function is  (8, [infinity])

Given the function as shown below:

g(x) = √(x + 4) + 8

The domain of the function is the point here x + 4 ≥ 0

Domain = x ≥ -4

In interval form, the domain of the function is [-4, 0)

The range of the function is the real values from 8 and above. Hence the range of the function is  (8, [infinity])

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Answer:

your answer is positive 8/3

Step-by-step explanation:

When you are subtracting something by a negative number, it is the same as adding by a positive. For example, this equation would be solved like:

-2 1/3 + 5      

Instead of -2 1/3 - (-5)

Hope that helps!

Answer:

1/4

Step-by-step explanation:

This question is asking for the probability of just picking a blue bead

It does NOT say anything about picking a smooth or rough!

This means you don't have to worry about it being smooth or rough (it is just extra information to throw you off)

So to find just picking one blue bead, you want to have the amount of blue beads divided by the total amount of beads

the amount of blue beads is 13

and the total is 52

So:

13/52 is your probability, but you want to simplify

Which comes out to

1/4

The line plot is used to show the lengths of the scrap woods using check marks above the line

From the question, we have the following frequency table

Lengths      Frequency

[tex]4\frac 18[/tex]                       2

[tex]4\frac 14[/tex]                       3

[tex]4\frac 38[/tex]                       1  

[tex]4\frac 12[/tex]                       6

[tex]4\frac 58\\[/tex]                       1

[tex]4\frac 34[/tex]                      2

[tex]4\frac 78[/tex]                      2

[tex]5[/tex]                         1

Next, we plot the number line.

Such that the lengths of the scrap woods are on the x-axis while their frequencies are on the y-axis

See attachment for the line plot

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Answer:

Step-by-step explanation:

Answer:

20 designs

Step-by-step explanation:

Some websites have limited data and bytes to hold, so she might have to have one theme, 5 fonts, and 2 background colors to look nice. 1 × 5 × 2 = 10. Add all the other background colors and fonts and themes and divide them by 10.

Therefore, she can create about 20 designs

Answer:

16 x 4.

Step-by-step explanation:

What multiplies into 64?

could be 16 and 4?

16 x 2 = 32

4 x 2 = 8

32 + 8 = 40, therefore, this is correct.

Answer:

sum up all the sizes and multiple it by 2

Answer:

Rounded to the nearest whole number is 1

Step-by-step explanation:

when you divide 6 by 5 you get 1.2. Since 2 is not five or greater you round down.

Answer:

B

Step-by-step explanation:

The perimeter is decreased by 4 because 2(5+2) = 14 when 2(5+4) = 18

Answer:

0.6 x 0.1

Step-by-step explanation:

Answer:

2:263

Step-by-step explanation:

6:789

Let's try simplying it completely, by that I means, divide both of the values by 6.

6:789

1:131.5

We need it to be a whole number, so it's not working. We can't divide by 2, because dividing 789 by 2 is not gonna give us a whole number. (an odd number)

Let's divide by 3

6:789

2:263

Answer:

-9/2

Step-by-step explanation:

parallel lines have the same slope/gradient

16

lcm : 4= 4, 8, 12 , 16

8= 8 , 16

The line TU is tangent to the circle whose center is at point S

The measure of angle U is 84 degrees

From the question, we understand that:

This second highlight means that:

Angle STU = 90 degrees

And:

Angle STU = Angle STV + Angle VTU

This gives

90 = 84 + Angle VTU

Subtract 84 from both sides

Angle VTU =  6

The measure of angle U is then calculated as:

U + Angle VTU + Angle UVT = 180 ------ sum of angles in a triangle

This gives

U + 6 + 90= 180

Evaluate the sum

U + 96 = 180

Subtract 96 from both sides

U = 84

Hence, the measure of angle U is 84 degrees

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Answer: If you want you can put 480 seconds or 8 minutes.

480 seconds = 8 minutes

Step-by-step explanation:

8 inches multiply by 60 feet

P(z ≤ 0. 82)  or p-value corresponding to z ≤ 0. 82 comes to be approximately 80%.

Z-score indicates how much a given value differs from the standard deviation.

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Where [tex]\mu[/tex] = mean

[tex]\sigma[/tex]=standard deviation

P(z ≤ 0. 82) means the p-value corresponding to z≤ 0. 82.

From the standard normal table

P(z ≤ 0. 82) ≈80%.

Hence, P(z ≤ 0. 82)  or p-value corresponding to z ≤ 0. 82 comes to be approximately 80%.

To get more about the z-score visit:

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Answer:

7/8

Step-by-step explanation:

First you have to make the fractions into a common denominator. So I made 1 1/4 into 10/8. Now you just subtract 2/8 from 10/8 and get 7/8.

Answer:

116 2/3 liters of milk

Step-by-step explanation:

4 2/3 liters of milk per cow * 25 cows = 350/3 liters of milk = 116 2/3 liters of milk

I hope this was good enough. Happy mathing!

Answer:

How can you reduce the variability of a statistic? By taking a larger sample. Larger samples give smaller spread. Also by better design, such as stratified sampling. What effect does the size of the population have on the variability (spread) of a statistic?

Step-by-step explanation:

The length of all the strings combined is 84 inches, while the length of the smallest string is 6 inches.

A line plot is a graph that shows the frequency of each value by displaying data as points or checkmarks above a number line.

In the given line plot, if we consider each of the options with the plot given to us, we will get to know which of the options are true or not.

A.) A. The difference between the longest length and shortest length is 14 inches.

As given in the plot, the longest string is 14 units while the smallest is 6 units, therefore, the first option is incorrect.

B.) I have twice as many 12-inch strings as I do 8-inch strings.

In the plot since the number of dots represents the number of strings of a particular length, therefore, the number of strings of length 12-inches is 4 and the number of strings of length 8-inches is 2. Thus, the given options are correct.

C.)  The total length of string that I have is 84 inches.

As per the plot, the number of strings of length 6 inches is 1, the number of strings of length 8 inches is 2, the strings of length 12inches is 4, and the number of strings of length 14 inches is 1. Thus, the sum of the length of all the strings is 84 inches.

Hence, the statement is correct.

D.) I cannot determine what the shortest string is by looking at my line plot.

As given in the plot, the length of the smallest string is 6 inches, thus, the statement is incorrect.

E.) Since I need 100 total inches of string for my project, I have enough string.

As the length of all the strings combined is just 84 inches, thus, the statement is incorrect.

Hence, the only option that is correct is 'B' and 'C'.

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The difference in price per passenger for a group of 16 versus a group of 10 for this condition is given by: Option D: $26.25

A graph contains data of which input maps to which output.

For Cartesian plane, this includes inputs x-axis, and corresponding output on y axis and the highlighted point (x,y) shows that the x value is related to the specific y value.

For the considered case, the missing image is attached below.

From the image, we see that corresponding to the value of number of people 10, the corresponding point on the graph is connected with vertical axis at $1300

For number of people 16, it is $2500

The difference in these prices is 156.25 - 130 = 26.25 (in dollars)

Thus, the difference in price per passenger for a group of 16 versus a group of 10 for this condition is given by: Option D: $26.25

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Answer:

D. $26.25

Step-by-step explanation:

edg

Answer:

9/8

Step-by-step explanation:

3/4 2/3

LCM=12

9/8

Am not sure

Answer:

I don't see the picture of the problem

Step-by-step explanation:

4.5 s, 324 ft

Explanation:

The object is projected upward with an initial velocity of

v_0 = 144 ft/sv

0

=144ft/s

The equation that describes its height at time t is

s(t) = -16t^2 + 144 ts(t)=−16t

2

+144t (1)

where t, the time, is measured in seconds.

In order to find the time it takes for the object to reach the maximum height, we must find an expression for its velocity at time t, which can be found by calculating the derivative of the position, s(t):

v(t) = s'(t) = -32t +144v(t)=s

′

(t)=−32t+144 (2)

At the maximum heigth, the vertical velocity is zero:

v(t) = 0

Substituting into the equation above, we find the corresponding time at which the object reaches the maximum height:

\begin{gathered}0=-32t+144\\t=\frac{144}{32}=4.5 s\end{gathered}

0=−32t+144

t=

32

144

=4.5s

And by substituting this value into eq.(1), we also find the maximum height:

s(t) = -16(4.5)^2+144(4.5)=324 fts(t)=−16(4.5)

2

+144(4.5)=324ft