Diego drank x ounces of juice. Lin drank 1/8 less than that.

Answer:

Step-by-step explanation:

1 foot = 12 inches

47.5 inches × (1 foot)/(12 inches) = (47.5/12) feet

24 boards × ((47.5/12) feet)/board = 95 feet

:::::

(8 feet)/board × (12 inches)/foot = (96 inches)/board

96/47.5 = 2 remainder 1

An 8-foot board provides two 47.5" boards, with an inch wasted.

He needs to buy 12 of the 8-foot boards.

Answer:

33/20

Step-by-step explanation:

Answer:

1.65 is the answer just put a decimal

Answer:

its A.

Step-by-step explanation:

Answer: A. .Ten times the sum of a number and 45 cents is the same as 25 times the number. What is the number, x?

Step-by-step explanation:

10x + 45 = 25x can be written = its 10 times (x) + 45 is the sum of 25 times (x) the number

Hope this helps :)

Answer:

A soda bottle contains 2 liters of liquid. Therefore:

The soda bottle contains  67.62 fluid ounces of liquid.

The soda bottle contains 0.525  gallons of liquid.

2) A milk jug contains 2 gallons of milk. Therefore:

The milk jug contains 8  quarts of milk.

The milk jug contains 7.6 liters of milk.

Step-by-step explanation:

We need to complete the statements.

1)

A soda bottle contains 2 liters of liquid. Therefore:

The soda bottle contains -------  fluid ounces of liquid.

We know that 1 liter = 33.81 fluid ounces

So,  2 liter = 2 x 33.81 = 67.62 fluid ounces

The soda bottle contains 67.62  fluid ounces of liquid.

The soda bottle contains  gallons of liquid.

As, we are not given direct conversion from liters to gallons, first we convert liter to quarts and then convert quarts to gallons

We know that

1 liter = 1.05 quarts

2 liters = 2 x 1.05 = 2.1 quarts

4 quarts = 1 gallon

1 quarts = 1/4 gallon

2.1 quarts = 1/4 * 2.1 = 0.525 gallon

The soda bottle contains 0.525  gallons of liquid.

2)

A milk jug contains 2 gallons of milk. Therefore:

The milk jug contains -------- quarts of milk.

We know:

1 gallon = 4 quarts

2 gallons = 2 x 4 = 8 quarts

The milk jug contains 8 quarts of milk.

The milk jug contains ------  liters of milk.

We know:

1 gallon = 4 quarts

2 gallon = 8 quarts

1.05 quarts = 1 liter

1 quarts = 1/1.05 liter

8 quarts = 1/1.05 * 8 = 7.6 liter

The milk jug contains 7.6 liters of milk.

Answer:

Step-by-step explanation:

500÷9=55.56miles/h (correct to 3 decimal places)

Answer:

$549

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year,

then, solving our equation

I = 3050 × 0.06 × 3 = 549

I = $ 549.00

The simple interest accumulated

on a principal of $ 3,050.00

at a rate of 6% per year

for 3 years is $ 549.00.

Answer:

I’m pretty sure 549

Step-by-step explanation:

Answer:

Closed circle

Step-by-step explanation:

When it's ≤ or ≥ it's a closed circle, when it's < or > it's an open circle.

Answer:

The area of the deck is of 146.14 squared units.

Step-by-step explanation:

Regular hexagon:

A regular hexagon has 6 sides, all with the same measure.

Perimeter of a regular hexagon:

The perimeter of a regular hexagon with side x is given by:

[tex]P_h = 6x[/tex]

Area of a regular hexagon:

The area of a regular hexagon with side x is given by:

[tex]A_h = \frac{3\sqrt{3}x^{2}}{2}[/tex]

It has a perimeter of 45 units.

This means that:

[tex]6x = 45[/tex]

[tex]x = \frac{45}{6}[/tex]

[tex]x = 7.5[/tex]

What is the are of the deck

[tex]A_h = \frac{3\sqrt{3}x^{2}}{2} = \frac{3\sqrt{3}*(7.5)^{2}}{2} = 146.14[/tex]

The area of the deck is of 146.14 squared units.

Step-by-step explanation:

if to apply the Piphagorean theoreme, then one of the angles is 90° (opposite to the side with the length 5):

3²+4²=5²; ⇔ 9+16=25.

Step-by-step explanation:

5(2a - 6) + 3a

10a - 30 + 3a

13a - 30

right

Answer:

4+4+4+4+5

Step-by-step explanation:

is 5 times the number only expanded

Answer:

4+4+4+4+5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Total number of workers = 20+ 15 + 10 = 45

Suppose 6 workers are selected from 45 workers, the number of ways they can be selected is [tex](^{45}_6)[/tex] ways

If 7 workers are selected from 20 workers on a day shift;

Then, the number of ways to select 7 members from a group of 20 is [tex](^{20}_7)[/tex] ways;

∴

P( all 7 selected workers will be from the day shift) is:

[tex]= \dfrac{(^{20}_7)}{(^{45}_6)}[/tex]

[tex]=\dfrac{ \dfrac{20!}{7!(20-7)!} } { \dfrac{45!}{6!(45-6)!}}[/tex]

= 0.0095

The possible number of ways to select all day shift workers is:

[tex]=(^{20}_{7})[/tex]

The  possible number of ways to select all swing shift workers is:

[tex]=(^{15}_{7})[/tex]

The possible number of ways to select all graveyard shift workers is:

[tex]= ( ^{10}_{7})[/tex]

∴

The probability that all selected workers are from the same shift is:

[tex]= \Bigg [ \dfrac{ (^{20}_7) }{(^{45}_6) } + \dfrac{ (^{15}_7) }{(^{45}_6) } + \dfrac{ (^{10}_7) }{(^{45}_6) } \Bigg][/tex]

[tex]= \begin {bmatrix} \dfrac{ \dfrac{20!} {7!(20-7)!}}{ \dfrac{ 45! }{6!(45-6)!} } + \dfrac{ \dfrac{15!} {7!(15-7)!}}{ \dfrac{ 45! }{6!(45-6)!} } + \dfrac{ \dfrac{10!} {7!(10-7)!}}{ \dfrac{ 45! }{6!(45-6)!} } \end {bmatrix}[/tex]

= 0.0095 + 0.00079 + 0.000015

= 0.010305

P(selected workers are from at least two different shifts)

= 1 - P(selected workers are from 1 shift from any of the 3 shifts)

= 1 - 0.010305

= 0.989695

≅ 0.9897

We can determine the probability that at least one shift is unrepresented through the following ways:

Let assume that:

[tex]X_1 =[/tex] event that day shift is unrepresented

[tex]X_2 =[/tex] event that swing shift is unrepresented

[tex]X_3 =[/tex] event that graveyard shift is unrepresented

Thus; [tex](X_1 \cap X_2)[/tex] = event that all of them are drawn from graveyard shift.

[tex](X_1 \cap X_3) =[/tex] event that all are drawn from swing shift

[tex](X_2 \cap X_3) =[/tex] event that they are all drawn from day shift.

So;

[tex]P(X_1) = \dfrac{(^{25}_{7})} { (^{45}_{6}) } = 0.0590[/tex]

[tex]P(X_2) = \dfrac{(^{30}_{7})} { (^{45}_{6}) } = 0.2499[/tex]

[tex]P(X_3) = \dfrac{(^{35}_{7})} { (^{45}_{6}) } = 0.8256[/tex]

[tex]P(X_1 \cap X_2) = \dfrac{(^{10}_{7})} { (^{45}_{6}) } = 0.000015[/tex]

[tex]P(X_1 \cap X_3) = \dfrac{(^{15}_{7})} { (^{45}_{6}) } = 0.00079[/tex]

[tex]P(X_2 \cap X_3) = \dfrac{(^{20}_{7})} { (^{45}_{6}) } = 0.0095[/tex]

[tex]P(X_1 \cap X_2 \cap X_3) =0[/tex]

Probability (that at least one shift is unrepresented) is:

[tex]= P(X_1) + P(X_2) +P(X_3) - P(X_1 \cap X_2) - P(X_1 \cap X_3) - P(X_2 \cap X_3) + P(X_1 \cap X_2 \cap X_3)[/tex]

= 0.0590 + 0.2499 + 0.8256 - 0.000015 - 0.00079 - 0.0095 + 0

≅ 1.124

Answer:

4,400

Step-by-step explanation:

Answer:

x= 1/2

Step-by-step explanation:

13x+7 and 9x+9 with x inserted in both equal 13.5

(if the equation was 13x+7=9x+9)

Let H represent heads and T represent tails.

Writing HH means we get two heads and HT means we get heads first, then tails second, and so on.

We have these four possible outcomes when flipping two coins

Of those four outcomes, two of them have exactly one head show up (HT and TH). The probability of getting exactly one head is 2/4 = 1/2, so this is why Jose is correct.

Answer:

x = 5

Step-by-step explanation:

Add 2x to both sides: 2 = 3x - 13

Add 13 to each side: 15 = 3x

Divide both sides by 3: 5 = x

Isolate with the variable by dividing each side by factors that don't contain the variable. So, x= 15

Answer:

C

A

B

D

Step-by-step explanation:

Answer:

B. $4143.50

Step-by-step explanation:

Wendy has purchased condominium and is financing it through the loan. The loan term is for 8 years with an interest rate of 5.65%. The payment at the start of the year 1 is $595,000 * 5.65% = $3344.70. The loan term reached maturity so the payment will increase to 4143.50

Have you found the answer yet?

Answer:

put 37, 22,59,35,6,41,72,28,100 in chart < That is for the ppl who cant click on the brainly site but it still shows alitttle

For the ppl who can click on brainly:

Part A:

Like Cupcakes

Do Not Like Cupcakes

Total

Like Brownies

37

22

59

Do Not Like Brownies

35

6

41

Total

72

28

100

Part b: 6

Part c: You really have to figure out how to word this 37- 72=35 35-41=6

hope it helps

Answer:

89

Step-by-step explanation:

Answer:

15 to 20

Step-by-step explanation: hope this helps! have a supercalifragilisticexpialidocious day ◑﹏◐

Answer:

15:x or 15 to x

Step-by-step explanation:

it depends on what the question is asking, so if they want you to fill in a number, you could replace x with any number you'd like. but its probably a word problem they want you to put as numbers, so bc you dont know what 'a number' is, you can pick a variable such as x to replace it with.

hope this helps :)

Cut each sandwich into thirds.

Hopefully, your friends aren't very hungry

Answer:

He saved $705 pls mark brainliest

Step-by-step explanation:

So 10% is $150 and 25% is 375 and 18% is 270 so you would add all those togeather to get 795 and 1500-795 is 705 so he saved $705!

Answer:

43

Step-by-step explanation:

Answer:

Subtract 2 from both sides.

Step-by-step explanation:

Remember to do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

> Also, note the equal sign, what you do to one side, you do to the other side of the equation.

First step is to subtract 2 from both sides of the equation:

3x + 2 (-2) = 29 (-2)

3x = 29 - 2

3x = 27

The second step is to divide 3 from both sides of the equation:

(3x)/3 = (27)/3

x = 27/3

x = 9

~

Answer:

The first step is subtracting the two on both sides.

Step-by-step explanation:

You arent exactly following PEMDAS in this equation, but you are still in a way. Before going on to x you need to go on to the numbers first. 3x would be equal to 27.

Answer: The project is 7/8 painted.

Step-by-step explanation: Add 1/8 to 3/4 for the total.

Use the least common denominator, /8

3/4 is equivalent to 6/8.

6/8 + 1/8 = 7/8

Step-by-step explanation: To find how much of the wall Maya painted, we will add the two fractions. Let's do it step-by-step.

1. These fractions have unlike denominators, to make them alike, we have to find the LCD (Least Common Denominator).

3/4 = 6/8

1/8 = 1/8

Note: What you did to the bottom, you do to the top.

1a. I multiplied 2 by 3 and 4 to get 6/8.

1b. I multiplied 1 by 1 and 8 to get 1/8.

2. Since we have like denominators, we can add!

[tex]Solve:\frac{6}{8} +\frac{1}{8} = \frac{7}{8}[/tex]

Therefore, your answer is 7/8. The fraction don't need to be reduced to lowest terms.