Which has a greater capacity: a bottle containing 32 ounces of iced tea, a bottle containing 1 Liter of iced tea, or a bottle containing 2 pints of iced tea?

2 pints
They are all the same capacity.
32 ounces
1 Liter

Answer:

50°

Step-by-step explanation:

angle ABE and angle CBD are vertical angles and has same measure so <ABE = 50°

Answer:

29 more points

Step-by-step explanation:

We basically need to find, what's the distance from -14 to 15.

We know that from -14 to 0 is 14 points, and from 0 to 15 is 15 points.

So in total we travelled [tex]15+14=29[/tex] points.

Hope this helped!

Answer:

Step-by-step explanation:

I have listed every number and unbolded the numbers that are divisible by 2 and 3

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

so it is 13/20

The probability of selecting a multiple of 2 or a multiple of 3 from the integers 1-20 is 13/20.

Probability is the likeliness of happening an event among all the events possible to happen. The formula of calculating probability is number/ events/total numbers/ total events. The value of probability lies between 0 and 1.

We have to find out the probability of selecting a multiple of 2 or a multiple of 3 from the integers 1-20.

Multiples of 2 from 1 to 20=2,4,6,8,10,12,14,16,18,20= 10 numbers

Multiples of 3 from 1 to 20=3,6,9,12,15,18=6 numbers

Common multiples 6,12,18=3 numbers

Total numbers from 1 to 20=20

Probability=(10+6-3)/20

[ we have deducted 3 because we have to just take a number once while calculating probability]

=13/20

Hence the probability of selecting a multiple of 2 or a multiple of 3 from the integers 1-20 is 13/20.

Learn more about probability at https://brainly.com/question/24756209

#SPJ2

So every 5 inches in height, there are 32 marbles. You want to know how many marbles there are per 18 inches in height.

[tex]\frac{32}{5} = \frac{x}{18}[/tex]

To get from 5 to 18, you multiply by 3.6.

Do the same thing to the numerator; 32 × 3.6 = 115.2.

Since 0.2 marbles is no marbles, you round down.

There are 115 marbles in the box.

♡ Hope this helps! ♡

❀ 0ranges ❀

Answer:

Change In velocity= 13.72 ms^-1

Step-by-step explanation:

fish experiences an acceleration of

9.8 m/s^2 over a period of 1.4s

Change in velocity/time= acceleration

Time in seconds= 1.4 s

Acceleration in meter per second square= 9.8 m/s^2

Change in velocity/time= acceleration

Change In velocity= acceleration*time

Change In velocity= 9.8*1.4(m/s^2 *s)

Change In velocity= 13.72 ms^-1

Answer:

the answer is -10

Step-by-step explanation:

-2 × 5 = -10

Answer:

see below

Step-by-step explanation:

This solution is based off of the Triangle Inequality, which states that the sum of the two shortest sides of a triangle must be greater than the longest side of the triangle. The solution looks at the diagram on the bottom where y = DB. Looking at ΔABD, to find the range of values for y, we must consider two possible cases: y is either the shortest side or the longest side. If y is the shortest side then y + 5 > 6 which means y > 1 and if y is the longest side then 6 + 5 > y which means 11 > y. Therefore, the range of values for y is 1 < y < 11.

Next, they made y as small as possible, which would be 1.1 in this case. Looking at ΔDCB, again, to find the range of values for x, we must consider two possible cases: x is either one of the shortest sides or x is the longest side. If x is one of the shorter sides then 1.1 + x > 8 so x > 6.9 and if x is the longest side, 1.1 + 8 > x so 9.1 > x. Therefore, the range of values for x is 6.9 < x < 9.1. The smallest integer value that satisfies this inequality is x = 7.

Answer:

68,67 cm^2

Step-by-step explanation:

Let's calculate first the total area of pastry that we have.

Let A be that area.

The pastry has rectangular form so its area is:

● A = width × length

The width here is 16 and the length is 20

● A = 20 × 16

● A = 320 cm^2

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let's calculate the are of the 20 pastry circles

Let A' be the area of one circle.

● A' = Pi × r^2

r is the radius wich is the diameter over 2.

● d/2 = 4/2 = 2 cm

● A' = Pi × 2^2

● A' = 4Pi cm^2

The area of 20 pastry circles is 20A'

● 20A'= 20 × 4 × Pi

● 20A'= 80Pi

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let A" be the area of the remaining pastry

● A" = A-20A'

● A" = 320 - 80Pi

● A" = 68.67 cm^2

Answer:

4 - 16 ÷ 4 + 4² =

Step-by-step explanation:

= 4 - 16 ÷ 4 + 4²

= 4 - 16 ÷ 4 + 16

= 4 - ( 16 ÷ 4 ) + 16

= 4 - 4 + 16

= 16

Answer:

y intercept

y = -5

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

Explanation:

There are two methods to approach this type of problem.

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

Method 1

A = junior

B = girl

P(A) = probability of selecting a junior

P(B) = probability of selecting a girl

P(B) = (number of girls)/(number total)

P(B) = (4+7+3+4)/(4+4+5+7+2+3+1+4)

P(B) = 18/30

P(B) = 9/15

P(A and B) = probability of selecting a girl who is a junior

P(A and B) = (number of girl juniors)/(number total)

P(A and B) = 3/30

P(A and B) = 1/10

P(A given B) = P(A and B)/P(B)

P(A given B) = (1/10) divided by (9/15)

P(A given B) = (1/10) times (15/9)

P(A given B) = (1*15)/(10*9)

P(A given B) = 15/90

P(A given B) = 1/6

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

Method 2

This method doesn't involve dividing two fractions which could get messy, which is why I find this the easier route. Since we are given the person is a girl, this means we only need to focus on the "girls" column. There are 3 who are juniors out of 4+7+3+4 = 18 total. The probability of selecting a girl junior is 3/18 = 1/6

Answer:

11^5/3

Step-by-step explanation:

when you move the 5 over to the right, it always goes above the other exponent. if that makes sense? I use this shortcut.

another way of showing is:

[tex]x\frac{a}{b} = \sqrt[b]{x^a}[/tex]

Answer:

[tex]11^{\frac{3}{5} }[/tex]

Step-by-step explanation:

Proof:

The power of a fraction is:

[tex]x^{\frac{a}{b} } =\sqrt[b]{x^{a} }[/tex]

Answer:

[tex]\Huge \boxed{{x=15\°}}[/tex]

Step-by-step explanation:

Angles on a straight line add up to 180 degrees.

We can create an equation.

x + 165 = 180

Solve for x.

Subtract 165 from both sides.

x + 165 - 165 = 180 - 165

Simplify the equation.

x = 15

Answer:

15°

Step-by-step explanation:

Angle of a line with a center is 180°

To find x:

x = 180 - 165°

x = 15°

15° is the answer.

Answer:

Option A. f(x) = 4x + 7

Step-by-step explanation:

To obtain the answer to the question, we simply try each of the equation using the first two value of x in the table to see which of them will satisfy the table. This is illustrated below:

For option A

1. f(x) = 4x + 7

x = - 1

f(x) = 4(-1) + 7

f(x) = - 4 + 7

f(x) = 3

2. f(x) = 4x + 7

x = 0

f(x) = 4(0) + 7

f(x) = 0 + 7

f(x) = 0

For option B

1. f(x) = 7x - 4

x = - 1

f(x) = 7(-1) - 4

f(x) = - 7 - 4

f(x) = - 11

2. f(x) = 7x - 4

x = 0

f(x) = 7(0) - 4

f(x) = 0 - 4

f(x) = - 4

For Option C

1. f(x) = -4x - 1

x = - 1

f(x) = -4(-1) - 1

f(x) = 4 - 1

f(x) = 3

2. f(x) = -4x - 1

x = 0

f(x) = -4(0) - 1

f(x) = 0 - 1

f(x) = - 1

For Option D

1. f(x) = x + 7

x = - 1

f(x) = - 1 + 7

f(x) = 6

2. f(x) = x + 7

x = 0

f(x) = 0 + 7

f(x) = 7

From the illustrations made above, only option A satisfy the table.

Answer:

Write out your decimal as the numerator of a fraction:

0.50 /1

Multiply to remove the 2 decimal places:

0.50 /1 ×  100 /100=  50 /100

Find the Greatest Common Factor of 50 and 100:

GCF is 50

Divide both numerator and denominator by 50:

50 ÷ 50

100 ÷ 50 =  1 /2

therefore your answer is 1/2

Hope this helps! （づ￣3￣）づ╭❤～

Answer:

115/198

Step-by-step explanation:

The correct answer is 115/198.

Answer:

D. The length is 5 times the width

because width is x

and the length is x x x x x

Answer:

15/2, 13/2.

Step-by-step explanation:

Here's a graph as well.

Answer in fraction form = (15/2, 13/2)

Answer in decimal form = (7.5, 6.5)

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

Explanation:

To get the midpoint, we average the two endpoint values. We handle the x and y coordinates separately.

The x coordinates of each point are 6 and 9. They average to (6+9)/2 = 15/2 = 7.5; so you add up the x coordinates and divide by 2.

The y coordinates are handled the same way. Add them to get 4+9 = 13 and then divide by 2 to get 13/2 = 6.5

The midpoint is (15/2, 13/2) = (7.5, 6.5)

I think you multiply 3/5 times 14. You would get 8.4 pounds which would be 8 2/5.

Answer:

In descending order, you answer would be (70v - 18). Hope this helps!

Step-by-step explanation:

Answer:

the answer is C on edge

Step-by-step explanation:

Question:

One number is 7 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 505, Find the numbers.

Answer:

The numbers are 45, 315 and 145

Step-by-step explanation:

Represent the three numbers with A, B and C

Required

Find A, B and C

From the first statement;

[tex]B = 7 * A[/tex]

[tex]B = 7A[/tex] --- (i)

From the second;

[tex]C = 100 + A[/tex]  ---- (ii)

From the third;

[tex]A + B + C = 505[/tex]  ---- (iii)

Substitute 7A for B and 100 + A for C in (iii)

[tex]A + 7A + 100 + A = 505[/tex]

Collect like terms

[tex]A + 7A + A = 505 - 100[/tex]

[tex]9A = 405[/tex]

Divide both sides by 9

[tex]A = 45[/tex]

Substitute 45 for A in (i)

[tex]B = 7A[/tex]

[tex]B = 7 * 45[/tex]

[tex]B = 315[/tex]

Substitute 45 for A in (ii)

[tex]C = 100 + A[/tex]

[tex]C = 100 + 45[/tex]

[tex]C = 145[/tex]

Hence, the numbers are 45, 315 and 145

Answer:

y+1 = 3(x-4)

Step-by-step explanation:

Point slope form is

y-y1 = m(x-x1) where m is the slope and (x1 , y1) is a point on the line

y - -1 = 3(x-4)

y+1 = 3(x-4)

Answer:

56.88

Step-by-step explanation:

2 ways to do this

45.50 x 25% = 11.375

45.50 + 11.375 = 56.875

and that rounds to 56.88

for option 2 I recommend a calculater

45.50 + 25% = 56.875

56.88

Answer:

C) =

Step-by-step explanation:

I -56I   = I56I

Absolute value of a number I X I is always non-negative value

Value of I -2 I = 2 &  I 2I = 2

Answer:

C

Step-by-step explanation:

Since they are absolute value, they are both the same distance from zero

The individuals in this data set are C) Cities

Same idea as last time, but now we're listing cities and their associated weather data.

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

The data set contains B) 4 variables, 2 of which are categorical

The four variables are

The two categorical variables are "kind of precipitation" and "severe weather alert". This is because the choices for each of these variables is a list of labels rather than numeric values. We cannot do things like find the average of the kind of precipitation as it doesn't make sense to do so. Each of these categorical variables are also nominal. This means they simply have a label or name. We cannot do things like order the data.

Answer:

The amount each took home was 20 unit currency.

Step-by-step explanation:

The given parameters are

The number of apples with each of the seven apple women = 20, 40, 80, 100, 120, and 140

The number of apples each woman has can be written in the following formula obtained online which is a series formula

a·n + (n - 1), (a + b)·n + (n - 2), (a + 2·b)·n + (n - 3), (a + 3·b)·n + (n - 4), (a + 4·b)·n + (n - 5), (a + 5·b)·n + (n - 6), (a + 6·b)·n + (n - 7)

Which gives;

a·n + (n - 1) = 20

(a + b)·n + (n - 2)=40

(a + 2·b)·n + (n - 3) = 60

(a + 3·b)·n + (n - 4) = 80

(a + 4·b)·n + (n - 5) = 100

(a + 5·b)·n + (n - 6) = 120

(a + 6·b)·n + (n - 7) = 140

Solving the above system, we get

n = 7, a = 2, b = 3

Which gives

2×7 + 6 = 20

5×7 + 5=40

8×7 + 4 = 60

11×7 +  3 = 80

14×7 + 2 = 100

17×7 + 1 = 120

20×7 + 0 = 140

Whereby all the women sold the apples for the same sum price, based on market pricing if groups of apples are sold at 1 unit currency for 7, and extras are sold for 3 unit currency per extra 1, we have the amount taking home by each of them given as follows;

2×1 + 6×3 = 20

5×1 + 5×3=20

8×1 + 4×3 = 20

11×1 +  3×3 = 20

14×1 + 2×3 = 20

17×1 + 1×3 = 20

20×1 = 20

Therefore, the amount each took home was 20 unit currency.

Answer:

5 cheeseburgers would be 12.50

Step-by-step explanation:

5 / 2 is 2.50 , 2.50 for one cheeseburger times 5 is 12.50

Answer: If two cheeseburgers are $5 the then one cheeseburger is 2.50

So 2.50 x 5 is 12.50

So it's 12.50 for 5 cheeseburgers

Answer:

3. 60/37 hours

4. 35/12 hours

Step-by-step explanation:

3.

Nicole: 1 room in 6 hours; in 1 hour: 1/6 room

Alexandra: 1 room in 5 hours; in 1 hour: 1/5 room

Liana: 1 room in 4 hours; in 1 hour: 1/4 room

Combined in 1 hour:

1/6 + 1/5 + 1/4

When they work together, they paint a room in x hours.

In 1 hour: 1/x room

1/6 + 1/5 + 1/4 = 1/x

10/60 + 12/60 + 15/60 = 1/x

37/60 = 1/x

x = 60/37

Answer: 60/37 hours

4.

Jake: 1 room in 7 hours; in 1 hour: 1/7 room

Karen: 1 room in 5 hours; in 1 hour: 1/5 room

Combined in 1 hour:

1/7 + 1/5

When they work together, they paint a room in x hours.

In 1 hour: 1/x room

1/7 + 1/5 = 1/x

5/35 + 7/35 = 1/x

12/35 = 1/x

x = 35/12

35/12 hours

Answer: 35/12 hours

Answer:

a) 166x.

Step-by-step explanation:

167x - x

= 166x.

Answer:

The correct answer is A) 166x

Hoped I helped