Which expression is equivalent to – 12 + (-4/5) + 31 and includes the correct justification for the equivalence?

Answer:

$430.20

Step-by-step explanation:

35.85 x 12= 430.20

a. Any number that is not the minimum or maximum could be removed without changing the range.

b. Removing the number 97 changes the range.

What is set ?

In mathematics, a set is a collection of distinct objects, called elements or members, that are treated as a single entity. Sets can contain any type of object, such as numbers, letters, or other mathematical objects.

To find a number that could be removed from the data set without changing the range, we need to determine the minimum and maximum values in the set. In this case, the minimum value is 53 and the maximum value is 97, so any number that is not the minimum or maximum could be removed without changing the range. For example, we could remove the number 85:

53 54 63 63

68 68 68 74

82 85 92 88

89 92 92 97

The range of the data set is still 97 - 53 = 44.

To find a number that could be removed from the data set that would change the range, we need to identify a number that is either the minimum or maximum value. For example, we could remove the number 97:

53 54 63 63

68 68 68 74

82 85 85 88

89 92 92

b. The range of the data set is now 92 - 53 = 39, which is smaller than the original range of 44.

Therefore, removing the number 97 changes the range.

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Answer:

false

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

QR and WX are parallel lines. XV and ST or congruent lines. ST, QR, VR, XS, are lines perpendicular to RS.

Step-by-step explanation:

Its self explanatory  (just kidding dont know how to explain)

Answer:

30°

Step-by-step explanation:

180-75-75=30

Answer: 4/15

Step-by-step explanation:

Given:

The center of the circle = (-1,0)

Point on the circle = (2,-4).

To find:

The equation of the circle.

Solution:

Distance between two points is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Distance between the center (-1,0) and the point on the circle (2,-4) is the radius of the circle.

[tex]r=\sqrt{(2-(-1))^2+(-4-0)^2}[/tex]

[tex]r=\sqrt{(2+1)^2+(-4)^2}[/tex]

[tex]r=\sqrt{(3)^2+(-4)^2}[/tex]

On further simplification, we get

[tex]r=\sqrt{9+16}[/tex]

[tex]r=\sqrt{25}[/tex]

[tex]r=5[/tex]

Now, the equation of the circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where, (h,k) is the center and r is the radius of the circle.

The radius of the circle is 5 and the center is at (-1,0), so the equation of the circle is

[tex](x-(-1))^2+(y-0)^2=5^2[/tex]

[tex](x+1)^2+y^2=25[/tex]

Therefore, the first option is correct, i.e., [tex](x+1)^2+y^2=25[/tex].

Part A

Answer: 89.50 dollars

---------------------------

Work Shown:

10% = 10/100 = 0.10

10% of $895 = 0.10*895 = 89.50

=====================================================

Part B

Answer:  $1350

---------------------------

Work Shown:

x = amount of sales for the week

10% of x = 0.10*x = 0.10x

0.10x = amount Geoff earns in commission

He needs $135, so 0.10x = 135

Divide both sides by 0.10 to isolate x

0.10x = 135

0.10x/0.10 = 135/0.10

x = 1350

He must have $1350 in sales for the week

Given:

An exponential function goes through points (0,6) and (5, 6144).

To find:

The exponential function.

Solution:

The general form of an exponential function is

[tex]y=ab^x[/tex]          ...(i)

It goes through points (0,6) and (5, 6144). It means the equation must be satisfied by these two points.

Putting x=0 and y=6, we get

[tex]6=ab^0[/tex]

[tex]6=a[/tex]

Putting a=6, x=5 and y=6144, we get

[tex]6144=6b^5[/tex]

[tex]\dfrac{6144}{6}=b^5[/tex]

[tex]1024=b^5[/tex]

Taking 5th root on both sides, we get

[tex]\sqrt[5]{1024}=b[/tex]

[tex]4=b[/tex]

Putting a=6 and b=4, we get

[tex]y=6(4)^x[/tex]

Therefore, the required exponential function is [tex]y=6(4)^x[/tex].

Answer:

He spent 150% than what he estimated.

Step-by-step explanation:

15 ÷ 10 = 1.5 = 150%

Answer: 66.67%

Step-by-step explanation: The first step is to divide 10 by 15 to get the answer in decimal form: 10 / 15 = 0.6667 Then, I multiplied the answer from the first step by one hundred to get the answer as a percentage: 0.6667 * 100 = 66.67%

Answer:

722-30=y

-99--99=x

(0,692)

I hope this helps, have a nice day :)

Step-by-step explanation:

Answer:When paying for a restaurant order, a customer's total for food was $30.00. What is a 18% tip for that total? I WILL GIVE BRAINLEIST PLEASE

Step-by-step explanation:

The answer is 5.40 and also like they said you can round if you need too

Answer:

Hopefully this helps on the graphing part.

Answer:

Go to desmos dot com it's a life saver. Type the equation into the thing and it shows up

Or, the equation would be y=-1/3x+3. 3 is your y intercept, and you have a slope of -1/3 (down one, to the right three)

Step-by-step explanation:

Well, basically this is how it is graphical, you can also check on your scientific calculator because it is a prendicular line, I hope it has served you

So If Hannah weighed 7.2 lb at birth during the six months that are shown on the table hanna puts on 8.7 during those six months so if we’re estimating what her weight will be at her one year visit

8.7(what she put on during the six months)+ 15.9 (her weight now)= 24.6

Answer: I estimate she will weigh 24.6lb at her one year visit

Hope this helps

Answer:

Step-by-step explanation:

The number 4/9 is a rational number. It is a ratio, or fraction, made up of two integers, 4 and 9. So a rational number less than 4/9 will be any fraction less.

Answer: 52:41

Step-by-step explanation:

Answer: -12

Step-by-step explanation:

if you'd like to convert a Fahrenheit temperature to an approximate Celsius temperature: Start with the temperature in Fahrenheit

Answer:

-12 degrees

Step-by-step explanation:

Fahrenheit and Celsius

10 degree fahrenheit

What is the celsius?

____________________

Take a look at the picture with the information provided, we see that f is the vertical line while c is the horizontal line. Since we are looking for 10 degree fahrenheit, let's find it on the vertical line. If we look at the red line, when it goes across 10 fahrenheit, the approximate part that it hits celsius is -12 degrees.

Answer:

Trapezoid

Step-by-step explanation:

The two sloped opposite sides are congruent. The two uncongruent opposite sides are parallel. There are no right angles. You can do this by finding the distance and slopes of the lines.

Not triangle because has four vertices.

Answer:

the answer is weenie I THINK i coudl be wrong tho

Step-by-step explanation:

:)

Answer:

24

Step-by-step explanation:

We are given a strand of numbers and are asked to find the mode.

To find mode, we have to see which number appears the most within the number strand, let's start with ordering the numbers from least to greatest.

20, 22, 23, 24, 24, 25, 46

Looking at the strand we see that 24 appears the most, therefore 24 is the mode.

Answer:

24

Step-by-step explanation:

Put the numbers in order.

20, 22, 23, 24, 24, 25, 46

Count how many of each number.

20

22

23

24, 24

25

46

The number that appeared the most is the mode.

24 appeared twice and the other numbers appeared only once.

Answer:

25

Step-by-step explanation:

Answer:

-9(2y+3) Tip: Download photo math lol : )

Answer:

34 degrees.

Step-by-step explanation:

Assuming AK is a straight line and being shown angle JDK is right and 90 degrees it can be stated that 4x + (3x-8) = 90 degrees.

Drop the parentheses and get 7x - 8 = 90.

Add 8 to both sides 7x = 98.

Divide both sides by 7, x = 14.

Plug that x value into (3x-8), [3(14)-8] = 34 degrees.

Answer:

34 degrees

Step-by-step explanation:

So, because mJDK and mJDA lie on a line, they must be supplementary, and since mJDK is 90 degrees, mJDA must be too. So, you know that the combination of mADC and mCDJ must be 90 degrees. 4x+3x-8=90 simplified is 7x=98, which says that x is equal to 14. So you plug in the values for 3x-8, and voila! mCDJ is 34!

Answer:

The probability is 1/18.

Step-by-step explanation:

There are 10 balls in total. Let's start with the probability of just the green. There is 1 green ball.out of 10 balls total, so the probability of pickin just the green one would be 1/10. Since we aren't replacing the balls after we choose them, the total number of balls is now 9. now the probability of picking one yellow ball out of the nine balls left is 5/9 because there are 5 yellow balls. To get the probability of the green and yellow balls picked, we multiply the individual probabilities to get the actual probability of choosinf one green and one yellow ball without replacement. So multiply 1/10×5/9= 5/90, simplified to 1/18.

Two balls are selected at random, the probability of choosing two balls 1 green and 1 yellow without replacement is 1 / 20

What information do we have?

Number of green balls = 1

Number of red balls = 4

Number of yellow balls = 5

Total number of balls = 1 + 4 + 5 = 10

Probability of green ball = 1 / 10

Probability of yellow ball = 5 / 10

Probability if there is no replacement of P(1 green and 1 yellow) = (1/10)(5/10)

Probability if there is no replacement of P(1 green and 1 yellow) = 1 / 20

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