Select the locations on the number line to plot the points 92 and −72.

may give brainliest

Answer: 5/24

Step-by-step explanation:

(-2/3)+(7/8)=

(-2/3)+(7/8)*24/24=        ==> 24 is the LCM of 3 and 8

\(\frac{(-2*24)/3+(7*24)/8}{24}\)=

\(\frac{-2*24/3+7*24/8}{24}\)=

\(\frac{-2*8+7*3}{24}\)=

\(\frac{-16+21}{24}\)=5/24

a) The inequality for the expression 2z + 9 is 2z + 9 > 13.

b) The inequality for the expression 3(z - 4) is 3z - 12 > -6.

c) The inequality for the expression 4 + 2z is 4 + 2z > 8.

d) The inequality for the expression 5(3z - 2) is 15z - 10 > 20.

a) To write an inequality for the expression 2z + 9, we can multiply the given inequality z > 2 by 2 and then add 9 to both sides of the inequality:

2z > 2 * 2

2z > 4

Adding 9 to both sides:

2z + 9 > 4 + 9

2z + 9 > 13

Therefore, the inequality for the expression 2z + 9 is 2z + 9 > 13.

b) For the expression 3(z - 4), we can distribute the 3 inside the parentheses:

3z - 3 * 4

3z - 12

Since we are given that z > 2, we can substitute z > 2 into the expression:

3z - 12 > 3 * 2 - 12

3z - 12 > 6 - 12

3z - 12 > -6

Therefore, the inequality for the expression 3(z - 4) is 3z - 12 > -6.

c) The expression 4 + 2z does not change with the given inequality z > 2. We can simply rewrite the expression:

4 + 2z > 4 + 2 * 2

4 + 2z > 4 + 4

4 + 2z > 8

Therefore, the inequality for the expression 4 + 2z is 4 + 2z > 8.

d) Similar to the previous expressions, we can distribute the 5 in the expression 5(3z - 2):

5 * 3z - 5 * 2

15z - 10

Considering the given inequality z > 2, we can substitute z > 2 into the expression:

15z - 10 > 15 * 2 - 10

15z - 10 > 30 - 10

15z - 10 > 20

Therefore, the inequality for the expression 5(3z - 2) is 15z - 10 > 20.

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Reducing the radical, we'll get:

The number of square meters that the space that Araceli rents is, is 30. 66 square meters.

The space that Araceli rents has a rectangular space so to find the area of the rectangular space that Araceli rents, we need to multiply the length by the width.

The given width is 4. 2 meters and the length is 7. 3 meters.

The area of the space in square meters is therefore :

Area = Length × Width

Area = 7. 3 meters × 4. 2 meters

Area = 30. 66 square meters

In conclusion, the space that Araceli rents has an area of 30. 66 square meters.

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When x = 13, the equation that is true is option D) 5(x - 9) = 20.

To determine which equation is true when x = 13, we can substitute the value of x into each equation and see which equation holds true. Let's go through each option:

A) 3(18 - x) = 67

Substituting x = 13:

3(18 - 13) = 67

3(5) = 67

15 = 67

The equation is not true when x = 13. Therefore, option A is false.

B) 4(9x) = 23

Substituting x = 13:

4(9*13) = 23

4(117) = 23

468 = 23

Again, the equation is not true when x = 13. Therefore, option B is also false.

C) 2(x - 3) = 7

Substituting x = 13:

2(13 - 3) = 7

2(10) = 7

20 = 7

Once again, the equation is not true when x = 13. Therefore, option C is false as well.

D) 5(x - 9) = 20

Substituting x = 13:

5(13 - 9) = 20

5(4) = 20

20 = 20

Finally, the equation is true when x = 13. Therefore, option D is true.

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Note: the translated questions is

X = 13, which equation is true?

Answer:

1/10

Step-by-step explanation:

6 goes in 10 times into 60 :)

Using the variable x to represent the cost of each soda, we can write the following equation to represent the balance in Edward account:

Now, solving this equation, we have:

So the cost of each soda is $2.

Answer: \(130.9^{\circ}\)

Step-by-step explanation:

Given

The number of students in the first year is 800

The number of students in the second year is 950

The number of students in the third year is 1000

If this data is graphed on a pie chart, then the area percentage of area occupied by third years is

\(\Rightarrow \dfrac{1000}{1000+950+800}\times 100=36.36\%\)

Now, the angle around the center of the circle is \(360^{\circ}\)

\(\therefore \text{angle covered by third years=}0.3636\times 360^{\circ}\\\Rightarrow 130.896\approx 130.9^{\circ}\)

Answer:*

Step-by-step explanation:

Answer:

Cylinder

Step-by-step explanation:

Answer:

cylinder

Step-by-step explanation:

The number of mini cherry pie and mini peach pie that she sold each would be = 12

The price for each cherry pie = $4

The price for each peach pie = $3

The total price for the whole pies sold = $84

The quantity of each pie sold. is calculated as thus;

= 4+3 = 7

For cherry pie;

= 4/7 × 84

= 336/7

= $48

The number of cherry pie sold = 48/4 = 12

For peach pie;

= 3/7× 84

= 252/7

= $36

The number of peach pie sold = 36/3 = 12

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Since the sides are the same, this problem is unsolvable

Answer:

Step-by-step explanation:

The given data is expressed as

1204, 1206, 1345, 1306, 1207, 1078, 1357, 1232, 1228, 1302, 1189, 1177, 1083, 1094, 1326, 1071, 1427, 1348, 1420, 1253, 1270

The number of items in the data, n is 21. The lowest value is 1071 while the highest value is 1427. The convenient starting point would be 1070.5 and the convenient ending point would be 1427.5

The number of class intervals is

√n = √21 = 4.5

Approximately 5

The width of each class interval is

(1427.5 - 1070.5)/5 = 72

The end of each class interval would be

1070.5 + 72 = 1142.5

1142.5 + 72 = 1214.5

1214.5 + 72 = 1286.5

1286.5 + 72 = 1358.5

1358.5 + 72 = 1430.5

The frequency for the fifth class, that is between 1358.5 to 1430.5 would be 2

The entire area is under the standard normal distribution curve, which is 1 by definition.

In other words, a typical normal random variable has a 100% chance of landing anywhere within its range of potential values (-∞ to +∞).

This makes sense since the area under the standard normal distribution curve, which is a continuous probability distribution, shows the likelihood that the random variable will take on any value within its range. Since the entire area under the curve is 1, the likelihood that any potential value for the random variable will occur is 1, or 100%.

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let p= pounds of expensive $6.50 coffe

Then 140-p = pounds of $2.00 coffee

6.5p + 2(140-p) = 4.89(140)

Multiply through the parenthesis,

combine like terms... solve for p.

Then you know how many pounds of

$6.50 coffee to use.

Subtract that from 140 to get how many

pounds of $2.00 coffee the use.

Answer:

Step-by-step explanation:

area of top face = π15² = 225π in²

volume = 225π × 40 = 9000π ≅28,260 in³

Answer:    \(\bold{x^2-2x+4-\dfrac{14}{x+2}}\)

Step-by-step explanation:

I am going to use Synthetic Division.

The divisor is:    x + 2 = 0     →   x = -2

The coefficients are: 1x³ + 0x² + 0x - 6    →      1, 0, 0, -6

-2 |  1      0     0     -6

   |  ↓     -2     4     -8          

      1     -2      4    -14    ← remainder

Reduced Polynomial is: x² -2x + 4 -  14/(x + 2)

The result of dividing x³ - 6 by x + 2 gives;

(x + 2)(x² -  2x  + 4) - 14

f(x) = x³ - 6

g(x) = x + 2

We want to divide x³ - 6 by x + 2. This denotes f(x)/g(x)

Thus; f(x)/g(x) = (x³ - 6)/(x + 2)

            x² -  2x + 4

           ______________

  x + 2 I x³ - 6

          - (x³ + 2x²)

           ----------------  

                    -2x²  - 6  

                  -(-2x² - 4x)  

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

                                4x -  6  

                              -(4x + 8)  

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

                                           -14

(x + 2)(x² -  2x  + 4) + (-14)

⇒ (x + 2)(x² -  2x  + 4) - 14

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According to the definition,

find the composition

then, find the inverse of the function,

Answer:

The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is  (APR / 365) x 30 days x adjusted balance.

The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.

The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.

Credit card interest method = adjusted balance method

Beginning balance = $780

Purchase = $170

Payment = $210

Adjusted balance, AB = $740 ($780 + $170 - $210)

APR = 17% = 0.17 (17/100)

The interest charged = (APR / 365) x 30 days x adjusted balance

= $10.34 [(0.17/365) x 30 x $740]

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Answer:

Step-by-step explanation:

Solution

0.125125125

Cut . Thus after cut . Count numbers then we get there is 9 numbers so divide it in form of 0 like

Thus after cutting . we get

125125125

___________

1000000000

It is in p/q form

Answer:

\(\frac{125}{999}\)

Step-by-step explanation:

Create 2 equations with the repeating numbers 125 placed after the decimal point.

let x = 0.125125125 → (1) ← multiply both sides by 1000 )

1000x = 125.125125125 → (2)

Subtract (1) from (2), thus eliminating the repeating decimal

999x = 125 ( divide both sides by 999 )

x = \(\frac{125}{999}\) ← in the form \(\frac{p}{q}\)

Answer:

50,000

Step-by-step explanation:

The product would be 654,100. Replace the other numbers to find the value of 5. The value of 5 is 050,000 or 50,000.

I hope this helps!

\(~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$750\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ t=years\dotfill &6 \end{cases} \\\\\\ A = 750e^{0.08\cdot 6}\implies A=750e^{0.48} \implies A \approx 1212.06\)

Answer: neither

Step-by-step explanation:

To get rid of the fractions, we pick a useful number and multiply both sides of the equation by that number. The number is useful if multiplying eliminates all fractions.

Equation: 9× J= 108

Answer :J=12

If the point you end up at is coordinate (0.25, 0) then you would have ran one full lap around the track.

1. The given track is a circular track with a radius of 0.25 miles, and the center of the track is at (0, 0).

2. If you end up at the point (0.25, 0), then you would have ran one full lap around the track. This is because the coordinates of the point you end up at, (0.25, 0), are the same as the coordinates of the circumference of the track, which is located 0.25 miles from the center of the track.

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Answer:

Step-by-step explanation:

→ If includes the point (0,2) first mark that point on the graph

→From point (0,2) go up 5 and to the right 1 and mark that point

Slope = rise / run = 5/ 1 so go 5 up and 1 to the right (because 5 is a positive number and a positive slope will give un a line that goes up from left to right)

→Draw a line trough the points (0.2) and (1,7)

Answer:

24-8=t

Step-by-step explanation:

I cant really explain much...

but, Hope it helps

plz mark brainiest if it does

Monthly payment for United bank = $1207.70, monthly payment for capitol bank =$1834.62. Total interest from United bank = $75600 and from capitol bank = $135000.

Total interest is determined by the addition of all the interest payments.

United bank offers mortgage at an APR of 4.2%

APR means annual percentage rate.

mortgage is offered for the period of 15 years.

initial principal amount of Marcy = $120000

we need to determine the monthly payment from United bank.

at first, we will determine the rate of interest per month.

monthly interest rate = (4.2) / (100 × 12) = 0.0035

1 year = 12 months

15 years = 15×12 = 180 months

monthly payment is calculated by the formula = [rate + (rate) / {(1+rate)∧month}⁻¹] ×principal

monthly payment = [ 0.0035 + (0.0035) / {(1+0.0035)∧180}⁻¹] ×120000

                          = $1207.70

from united bank monthly payment = $1207.70

Now we calculate the monthly payment from Capitol bank.

APR for capitol bank = 4.5%

number of years for which mortgage is issued = 25 years

number of months = 12×25 = 300.

monthly interest rate = (4.5) / (100×12) = 0.00375

monthly payment for capitol bank = [0.00375 + (0.00375) / {(1+0.00375)∧300}⁻¹] × 120000

                 = 1834.62

monthly payment from Capitol bank = $1834.62

total interest from Capitol bank = principal money × yearly interest rate × time period.

Total interest = 120000 × 4.5/100× 25

                        = $135000 for the Capitol bank

Total interest from United bank = principal amount × yearly interest × time period

            = 120000× 4.2/100 × 15

total interest from united bank   = $75600

United bank has lower total interest.

difference in monthly payment = 1834.62 - 1207.70

                                                   = 626.92 dollars

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