Which of the following pairs are alternate interior angles?
A.6 and 7
B.2 and 7
C.5 and 2
D.5 and 4​

Answer:

106 slices left

Step-by-step explanation:

To solve this we need to multiply 19 and 6:

19 * 6 = 114

there was 114 slices of pizza

next subtract 114 and 8

114 - 8 = 106

there was 106 slices of pizza left after Miguel ate 8 slices of pizza

Final answer:

After calculating the total slices from 19 pizzas and subtracting the 8 slices consumed by Miguel, there are 106 pizza slices left for the rest of the French Club.

Explanation:

The student asked about the number of pizza slices left after Miguel ate some. To calculate this, we first need to find the total number of slices in 19 pizzas, each cut into 6 slices, and then subtract the 8 slices that Miguel ate.

Calculate the total number of slices: 19 pizzas × 6 slices/pizza = 114 slices.

Subtract the slices Miguel ate: 114 slices - 8 slices = 106 slices.

So, there are 106 pizza slices left for the rest of the French Club.

Answer:

300.407

Step-by-step explanation:

100*3=300

4*0.1=0.4

7*0.001=0.007

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

300+0.4+0.007

300.407

The mean score on this test is 8.8, and the median score is 9.4.

In order to find the mean of the scores, we use the formula:

[tex]\[ \text{Mean} = \frac{\sum (X \cdot f)}{N} \][/tex]

where X is the score, f is the frequency, and N is the total number of scores. Applying this formula to the given data:

[tex]\[ \text{Mean} = \frac{(4 \cdot 1) + (5 \cdot 1) + (6 \cdot 1) + (7 \cdot 2) + (8 \cdot 1) + (9 \cdot 5) + (10 \cdot 5)}{1 + 1 + 1 + 2 + 1 + 5 + 5} \][/tex]

[tex]\[ \text{Mean} = \frac{4 + 5 + 6 + 14 + 8 + 45 + 50}{15} \][/tex]

Mean = [tex]\frac{132}{15}[/tex]

Mean = 8.8

So, the mean score is 8.8.

To find the median using the formula:

[tex]\[ \text{Median} = L + \frac{\frac{N}{2} - F}{f} \times w \][/tex]

where:

- L is the lower class boundary of the median group,

- N is the total number of observations,

- F is the cumulative frequency of the group before the median group,

- f is the frequency of the median group,

- w is the width of the median group.

First, arrange the data and calculate cumulative frequencies:

Test Score  Frequency     Cumulative Frequency

3                    0                      0

4                      1                      1

5                      1                     2

6                       1                     3

7                       2                     5

8                       1                      6

9                       5                     11

10                     5                     16

The median position is [tex]\( \frac{N}{2} = \frac{16}{2} = 8 \)[/tex]  with a score of 9. The cumulative frequency before the median group is 6, and the frequency of the median group is 5.

Now, using the formula:

Median= 9 + [tex]\frac{8 - 6}{5} \times 1[/tex]

Median= 9 + [tex]\frac{2}{5}[/tex]

Median = 9 + 0.4

Median = 9.4

Therefore, the median score is 9.4.

Answer: slope m = (y2 - y1)/(x2 - x1) so that  m = (2-(-1))/(5.3-4.5)

m = 3 / .8 = 3.75 or 15/4

Step-by-step explanation:

He sold 32 small watermelons and 17 large watermelons.

Step-by-step explanation:

Let,

Small watermelons = x

Large watermelons = y

Cost of one small watermelon = $7

Cost of one large watermelon = $10

According to given statement;

x = y+15   Eqn 1

7x+10y=394   Eqn 2

Putting value of x from Eqn 1 in Eqn 2

[tex]7(y+15)+10y=394\\7y+105+10y=394\\17y=394-105\\17y=289\\[/tex]

Dividing both sides by 17

[tex]\frac{17y}{17}=\frac{289}{17}\\y=17[/tex]

Putting y=17 in Eqn 1

[tex]x=17+15\\x=32[/tex]

He sold 32 small watermelons and 17 large watermelons.

Keywords: linear equations, substitution method

Learn more about linear equations at:

#LearnwithBrainly

Answer: Usually, a denominator should be bigger. If the numerator was bigger, it would make the fraction inproper, which you should convert into a mixed number.

Answer:denominator

Step-by-step explanation:

Answer:a total of 45 students per bus

Step-by-step explanation: 450-5= 445

445/10= 44.5

a total of 45 students per bus

Answer:

$12159 per year.

Step-by-step explanation:

If I invest $x each year at the simple interest of 7.5%, then the first $x will grow for 35 years, the second $x will grow for 34 years and so on.

So, the total amount that will grow after 35 years by investing $x at the start of each year at the rate of 7.5% simple interest will be given by

[tex]x( 1 + \frac{35 \times 7.5}{100}) + x( 1 + \frac{34 \times 7.5}{100}) + x( 1 + \frac{33 \times 7.5}{100}) + ......... + x( 1 + \frac{1 \times 7.5}{100})[/tex]

= [tex]35x + \frac{x \times 7.5}{100} [35 + 34 + 33 + ......... + 1][/tex]

= [tex]35x + \frac{x \times 7.5}{100} [\frac{1}{2} (35) (35 + 1)][/tex]

{Since sum of n natural numbers is given by [tex]\frac{1}{2} (n)(n + 1)[/tex]}

= 35x + 47.25x

= 82.25x

Now, given that the final amount will be i million dollars = $1000000

So, 82.25x = 1000000

⇒ x = $12,158. 05 ≈ $12159

Therefore. I have to invest $12159 per year. (Answer)

Answer:

ionosphere

Step-by-step explanation:

In radio communication, skywave or skip refers to the propagation of radio waves reflected or refracted back toward Earth from the ionosphere, an electrically charged layer of the upper atmosphere

There are total 3500 students in the freshman class.

Radio waves are the electromagnetic radiations whose wave frequency lies in range of 10⁴ and 10¹¹ or 10¹² Hz. These waves are generally used in long distance communication.

Given is to find out which layer of the atmosphere reflects radio waves back to Earth.

None of the layers mentioned reflects radio waves back to Earth. Only the ionosphere reflects the radio waves back to Earth. It is a electrically conducting region extending between 80 km to 300 Km in altitude.

Therefore, there are total 3500 students in the freshman class.

To solve more questions on ionosphere, visit the link below-

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The two numbers are -20 and -82. By creating two equations x + y = -102 and x = y - 62, substitute for x in the first equation and solve for y, then substitute y back into the second equation to solve for x.

To solve the problem, you can create two equations using the given information.

You can now substitute the equation from step 2 into equation 1:

(y - 62) + y = -102.

Combine like terms:

2y - 62 = -102.

Then add 62 to both sides of the equation:

2y = -40.

Finally, divide both sides by 2:

y = -20.

Substitute y = -20 back into x = y - 62:

x = -20 - 62 = -82.

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Answer:

Step-by-step explanation:

Answer:

Total bill=$51.75

Step-by-step explanation:

Step 1: Determine the cost of her meal

Cost of meal=$45

Step 2: Calculate the amount of the tip

Tip amount=15% of the cost of meal

where;

cost of meal=$45

replacing;

Tip amount=(15/100)×45=6.75

The tip amount=$6.75

Step 3: Total bill

The total bill can be expressed as;

Total bill=tip amount+subtotal

where;

tip amount=$6.75

cost of meal=$45

replacing;

Total bill=(45+6.75)=51.75

Total bill=$51.75

Answer:

Your tip was $7.25 so you payed a total of $36.25 on your $29 bill.

Answer:

$36.25

Step-by-step explanation:

Multiply 29.00 by 0.25 to get 25% of 29.00. You would get 7.25. Then add the 25% tip to the dinner amount (29.00+7.25) and you would get 36.25.

Answer:

He can spend $1363 for everything else.

Step-by-step explanation:

x+637<=2000

x<=2000-637

x<=1363

Answer:

The sale price of a T-shirt is $24.

Step-by-step explanation:

1/4 off=25%=0.25

0.25*32=8

32-8=24

Answer: (19,520-1,478) x 8

Answer:

The final price is $ 22.68  And Proportional constant is 1.4  

Step-by-step explanation:

Given as :

The Original price = $ 16.20

The rate of increase = 40%

Let The final price = x

Now,

Final price after increase = initial price × ( 1 + [tex]\frac{\textrm Rate}{100}[/tex]

Or. Final price after increase = $ 16.20 × ( 1 + [tex]\frac{\textrm 40}{100}[/tex]

Or, Final price after increase = $ 16.20 × ( 1.4 )

∴ Final price after increase = $ 22.68

Now , Proportional constant = [tex]\frac{22.68}{16.20}[/tex]

I.e Proportional constant = 1.4

Hence The final price is $ 22.68  And Proportional constant is 1.4  Answer

Answer:

Twice.

Step-by-step explanation:

7 times 2 is 14.

So it can only go in 2x.

Answer:

Seven goes into 18 twice

Step-by-step explanation:

7×2=14

Answer:

y-2=2(x-6)

Step-by-step explanation:

y-y1=m(x-x1)

m=2

y-2=2(x-6)

Answer:by $91

Step-by-step explanation:

In total she withdrew $91 for her piano lessons

22.75x4=91

Answer:

91$

Step-by-step explanation:

Answer:

[tex]17 + \frac{ - 18}{6} = 17 - 3 = 14[/tex]

Answer:

y=8.99+3

Step-by-step explanation:

we will make

x=how many large pizzas are sold

and a flat fee of $3 because they did delivery and do not pick it up them selves

so it would look like this

y=8.99x+3 to find the total cost

and it's not

y=8.99x-3 because they are not getting $3 dollars off their purchase!

Answer:

x=-1, y=-5. (-1, -5).

Step-by-step explanation:

y=-x-6

y=x-4

----------

-x-6=x-4

-x-x-6=-4

-2x-6=-4

-2x=-4+6

-2x=2

x=2/-2

x=-1

y=-1-4

y=-5

Answer:

Step-by-step explanation:

Hajdiabndodisba djdk

Answer:

30/10=10/3

Step-by-step explanation:

because 10/3 if you multiply 3 times 10 and keep 10 and switch it around you'll get 30/10

Answer:

-6

Step-by-step explanation: 2(n+5)=-2

Remove the bracket(expanding):

2×n+2×5=-2

2n+10=-2

collect like terms:

2n=-2+(-10)

2n=-12

Dividing both side by the coefficient of n i.e 2

2n/2=-12/2

n=-6

Answer:

Part 40) [tex]y=-2x+9[/tex]

Part 41) [tex]y=5x+6[/tex]

Part 42) [tex]y=\frac{2}{3}x+\frac{4}{3}[/tex]

Step-by-step explanation:

Remember that

If two lines are parallel, then their slopes are the same

Part 40) Write an equation of the line that passes through the given point

and is parallel to the given line

we have

Point (4,1)

Given line y=-2x+7

step 1

Find the slope of the given line

The given line is a equation of the line in slope intercept form

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

where

m is the slope

b is the y-intercept

so

The slope of the given line is

[tex]m=-2[/tex]

step 2

Find the y-intercept b

we have

[tex]m=-2[/tex]

[tex](4,1)[/tex]

substitute in the linear equation

[tex]1=(-2)4+b[/tex]

solve for b

[tex]b=1+8[/tex]

[tex]b=9[/tex]

step 3

Find equation of the line that passes through the given point and is parallel to the given line

we have

[tex]m=-2[/tex]

[tex]b=9[/tex]

substitute

The equation of the line is

[tex]y=-2x+9[/tex]

Part 41) Write an equation of the line that passes through the given point

and is parallel to the given line

we have

Point (0,6)

Given line y=5x-3

step 1

Find the slope of the given line

The given line is a equation of the line in slope intercept form

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

where

m is the slope

b is the y-intercept

so

The slope of the given line is

[tex]m=5[/tex]

step 2

Find the y-intercept b

[tex]b=6[/tex] ----> because the y-intercept is the point (0,6) (value of y when the value of x is equal to zero)

step 3

Find equation of the line that passes through the given point and is parallel to the given line

we have

[tex]m=5[/tex]

[tex]b=6[/tex]

substitute in the linear equation

[tex]y=5x+6[/tex]

Part 42) Write an equation of the line that passes through the given point

and is parallel to the given line

we have

Point (-5,-2)

Given line y=(2/3)x+1

step 1

Find the slope of the given line

The given line is a equation of the line in slope intercept form

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

where

m is the slope

b is the y-intercept

so

The slope of the given line is

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

step 2

Find the y-intercept b

we have

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

[tex](-5,-2)[/tex]

substitute in the linear equation

[tex]-2=(\frac{2}{3})(-5)+b[/tex]

solve for b

[tex]-2=-\frac{10}{3}+b[/tex]

[tex]b=-2+\frac{10}{3}[/tex]

[tex]b=\frac{4}{3}[/tex]

step 3

Find equation of the line that passes through the given point and is parallel to the given line

we have

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

[tex]b=\frac{4}{3}[/tex]

substitute

The equation of the line is

[tex]y=\frac{2}{3}x+\frac{4}{3}[/tex]

Final answer:

To find the equation of a line that is parallel to a given line and passes through a specific point, use the fact that parallel lines have the same slope. Find the slope of the given line, substitute the slope and the point into the slope-intercept form of a line to find the y-intercept, and write the equation with the new slope and y-intercept.

Explanation:

To find the equation of a line that is parallel to a given line and passes through a specific point, we need to use the fact that parallel lines have the same slope. The given line, y = -2x + 7, has a slope of -2. So, the parallel line we need to find will also have a slope of -2.

Now, we can use the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept. Since we know the slope is -2 and the point (4,1) lies on the line, we can substitute these values into the equation to find the y-intercept:

y = -2x + b

1 = -2(4) + b

1 = -8 + b

b = 9

Therefore, the equation of the line that passes through (4,1) and is parallel to y = -2x + 7 is y = -2x + 9.

Answer:

J

Step-by-step explanation:

All of the other ones have a value of -5 except for J which has a value of 5.

The graph that best represents the described temperature change is Graph A.

The description provided suggests a graph of temperature change over time.

In the morning, the temperature starts around 50°F, so the initial point on the graph would be at (0, 50). As the day progresses, the temperature rises first slowly and then more quickly, indicating a steeper slope.

After reaching a peak, the temperature stays constant for an hour, suggesting a flat line parallel to the x-axis.

Finally, the temperature drops slowly, indicating a decreasing slope.

Based on this description, Graph A represents the temperature change over the day.

The only prime number that is a factor of 16 is 2, since 16 is a power of 2 (2⁴).

The student has asked to identify the only prime number that is a factor of 16. To find the factors of 16, we can break it down into its prime factors. The prime factorization of 16 is 2×4×4, which reduces further to 2×2×2×2 or 24. Since the prime factors of 16 are all 2s, the only prime number that is a factor of 16 is 2. It's important to note that a prime number is defined as a number that has exactly two distinct positive divisors: 1 and the number itself. In the case of 16, 2 is the only prime number that fits this definition and is a factor.

Answer: losing weight from 50lb to 40lb

Step-by-step explanation:

Answer:

50lb to 40lb

Step-by-step explanation:

When you multiply 50 lb to 40lb by 2, it makes 100 lb to 80 lb. 50lb to 40 lb is 20 percent change while 100 lb to 90 lb is 10 percent