Activity 1: Directions: Convert the following to the indicated unit of measures. 1. 4 gal. = _________quarts 2. 1,400 feet = ______miles 3. 16 hours = _______ min 4. 16 cups = ______pints 5. 1.6 miles = _______ yards

Answers

Answer 1

The conversion of the following values to their desired units are as follows:

4 gal = 16 quarts1400 feet = 0.2651516 miles 16 hours = 960 mins16 cups =  8 pints1.6 miles = 2816 yards

The dimension analysis shows the relation of different physical quantities by converting them from one unit to another.

According to the standard conversion rates:

1 gallon (gal) = 4 quarts1 foot = 0.000189394 mile1 hour = 60 minutes1 cup = 0.5 pints1 mile = 1760 yards

1.

4 gallons will be:

= (4 gal × 4 quarts)/1 gal

= 16 quarts  

2.

1400 feet will be:

= (1400 foot ×  0.000189394 miles)/ 1 foot

= 0.2651516 miles

3.

16 hours will be:

= (16 hours × 60 mins)/ 1 hour

= 960 mins

4.

16 cups will be:

= (16 cups × 0.5 pints)/1 cup

= 8 pints

5.

1.6 miles will be:

= (1.6 miles × 1760 yards)/ 1 mile

= 2816 yards

Learn more about conversion rates here:

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Related Questions

identify the pair of similar triangles in each of the groups of triangle below​

Answers

Answer:

its triangle ABC and XYZ

Step-by-step explanation:

kyle has two snakes fluffy is 2 meters long muffy is 900 millimeters long compare their lengths to fill in the blanks

_____ is the longest snake.
_____ is ______
millimeters longer than ____


PLSS HELP!!

Answers

Answer:

fluffy is the longest snake.

muffy is 900 millimeters longer than  fluffy

Step-by-step explanation:

PA BRAINLIEST

HOPE ITS HELP

GOD BLESS

In Phoenix, Arizona, the average number of sunny days is 211 per year. About what percent of the year is Phoenix sunny?​

Answers

Answer:

57.81

Step-by-step explanation:

Answer:

58%

Step-by-step explanation:

there are 365 days on one year so you need to divide 211 by 365.

211÷365 = 0.578

round: 0.58 or 58%

Need help with this geometry question

Answers

The Answer Is Number 1

Answer:

The first option:yellow shirt, white trouseryellow shirt, black trousergreen shirt, white trousergreen shirt, black trouser

Step-by-step explanation:

To find the possibilities, you would see that you would have two yellow shirts and two green shirts with different trousers, so you can eliminate the bottom two. And because there will be two of each shirt with defferent trousers, it will be the same for trousers: two of each trouser will be in the possibilities. The only one that fits this description, is the first one.

yellow shirt, white trouser

yellow shirt, black trouser

green shirt, white trouser

green shirt, black trouser


Given log 102 = 0.3010 and log 103= 0.4771, find log 1049 without using a calculator.

Answers

Bearing in mind that when the base is omitted, base 10 is assumed, or namely log(x) = log₁₀(x).

[tex]\begin{array}{llll} \textit{Logarithm of rationals} \\\\ \log_a\left( \frac{x}{y}\right)\implies \log_a(x)-\log_a(y) \end{array}~\hfill \begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\log_{10}(2)=0.3010\qquad \qquad \log_{10}(3)=0.4771 \\\\[-0.35em] ~\dotfill\\\\ \log_{10}\left( \cfrac{4}{9} \right)\implies \log\left( \cfrac{4}{9} \right)\implies \log\left[ \cfrac{2^2}{3^2} \right]\implies \log\left[ \left( \cfrac{2}{3} \right)^2 \right]\implies 2\log\left[ \cfrac{2}{3}\right] \\\\\\ 2[\log(2)-\log(3)]\implies 2[0.3010~~ - ~~0.4771]\implies -0.3522[/tex]

Write the equation of the line passing through the points (9,2 ) and (-3, -2)

Answers

Answer:

[tex]y=\frac{1}{3} x-1.[/tex]

Step-by-step explanation:

if A(9;2), B(-3;-2) then it is possible to make up the required equation according to the form:

[tex]1. \ \frac{x-X_B}{X_A-X_B} =\frac{y-Y_B}{Y_A-Y_B}[/tex]

2. after the substitutuion X(A)=9; X(B)=-3; Y(A)=2 and Y(B)=-2 into the form:

[tex]\frac{x+3}{9+3} =\frac{y+2}{2+2}; \ => \frac{x+3}{12} =\frac{y+2}{4}; \ => \frac{x+3}{3} =y+2.[/tex]

or in slope-interception form:

[tex]y=\frac{1}{3} x-1.[/tex]

Find The nth Term of this number sequence
18, 16, 14, 12

Answers

☆Answer :

a = 18

d = 16 - 18 = -2

an = a + (n - 1) × d

an = 18 + (n - 1) × (-2)

an = 18 - 2n + 2

an = -2n + 20


A six sided die is tossed. Determine the odds against rolling a 3.

The odds are :

Answers

Answer:

1/6 because 3 is one of the sides of the 6

The odds against rolling a 3 are 5:1 and the probability of rolling a 3 is 1/6

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

There are five numbers (1, 2, 4, 5, 6) that are not 3, so the number of ways to roll a number that is not 3 is 5.

The total number of possible outcomes is 6, since there are six sides on the die.

Therefore, the odds against rolling a 3 are:

5:1

This can also be expressed as a probability by dividing the number of unfavorable outcomes by the total number of outcomes:

P(not rolling a 3) = 5/6

Alternatively, the probability of rolling a 3 is 1/6, so we can also say:

P(rolling a 3) = 1/6

And the probability of not rolling a 3 is:

P(not rolling a 3) = 1 - P(rolling a 3)

= 1 - 1/6

= 5/6

Hence, the odds against rolling a 3 are 5:1 and the probability of rolling a 3 is 1/6

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Integer in algebra
Need help 9th grade

Answers

Answer:

4x + 10 >1

-10. -10

4x < -9

Step-by-step explanation:

make sure to make it less than or equal to

LM bisects
KL = LN
m m m

Answers

Answer:

Only one must be true

Step-by-step explanation:

‏Mr. Jones's prescription calls for 1.04 tablets per day. Based on this information, how many tablets should Mr. Jones take per day? a) 1.25 O b) 1.5 c) 1 O d) 2
I think the answer is a but I'm not sure I'm really a little confused I want to check with this app please can someone heelp me

Answers

I think it’s C because 1.04 is closest to 1

The table below shows the number of classes offered at a fine arts school in New York.
Art: 45
Dance: 30
Music: 40
Theater: 35
What part-to-whole ratio represents the number of music classes offered at the school? ​

Answers

Answer:

40:140

Step-by-step explanation:

The explanation.is in the diagram above

Find the lengths of the sides of the triangle formed by the coordinates below. Then classify the triangle by sides.
A(1,1) B (4,1) C (4,5)

AB =
BC =
AC =

Number of congruent sides=

Then classify the triangle
Isosceles, scalene or equilateral

Answers

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{1}~,~\stackrel{y_1}{1})\qquad B(\stackrel{x_2}{4}~,~\stackrel{y_2}{1})\qquad \qquad AB = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AB=\sqrt{(4-1)^2+(1-1)^2}\implies AB=\sqrt{3^2-0^2}\implies AB=3 \\\\[-0.35em] ~\dotfill\\\\ B(\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad C(\stackrel{x_2}{4}~,~\stackrel{y_2}{5})\qquad \qquad BC=\sqrt{(4-4)^2+(5-1)^2} \\\\\\ BC=\sqrt{0^2+4^2}\implies BC=4 \\\\[-0.35em] ~\dotfill[/tex]

[tex]C(\stackrel{x_1}{4}~,~\stackrel{y_1}{5})\qquad A(\stackrel{x_2}{1}~,~\stackrel{y_2}{1})\qquad \qquad CA=\sqrt{(1-4)^2+(1-5)^2} \\\\\\ CA=\sqrt{(-3)^2+(-4)^2}\implies CA=\sqrt{3^2+4^2}\implies CA=5[/tex]

well, how many congruent sides? none, all three sides differ, meaning is an scalene triangle.

The mileage on Ori's car is 73,033 miles. What is the fewest number of miles that Ori needs to drive before the mileage shows three identical digits again?

Answers

Answer:40

Step-by-step explanation:

The fewest number of miles that Ori needs to drive before the mileage shows three identical digits again is 40.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We have been given that the mileage on Ori's car is 73,033 miles.

We need to find the fewest number of miles that Ori needs to drive before the mileage shows three identical digits again.

Therefore, the mileage on Ori's car = 73,033 miles.

identical digits = 40

The fewest number of miles that Ori needs to drive before the mileage shows three identical digits again is 40.

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factorize
1) x²-4y²
2) 27-8y³ ​

Answers

you cant factorise both of them as they have nothing in common

can find anything to answer this

Answers

Answer:

where?

Step-by-step explanation:

maybe I can help to your question

Answer: C
Explain bc MN is not midsegment

A 44-foot long wire will be attached to the top of a
pole for support, and will be pulled tight and
anchored to the ground. If the wire makes a 13
degree angle with the ground, how tall is the pole?
Round your answer to the nearest hundredth of a
foot

Answers

Answer:

Step-by-step explanation:

h = 44sin13 = 9.89784... = 9.90 ft

Help help help help help help help please

Answers

Answer:

B I think.

Step-by-step explanation:

Answer:

270

Step-by-step explanation:

The figure B is just one 90° rotation away from becoming A, i.e.,

If we rotate B 90° counterclockwise, we get A.

To obtain the same figure after rotating it (counterclockwise or clockwise), the minimum degrees required are 360

So, B becomes A after 90° of rotation, while A becomes A after 360° rotation (in the same direction)

That means,

[tex] \boxed{ \mathsf{Angle \: of \: rotation \: + 90 \: = \: 360}}[/tex]

(angle of rotation is the angle which A turns about in order to line itself with B)

_________________

That makes it 270°

Solve the inequality. 53(2x + 2) – 10 ≥ 2x + 2(23x + 2) please help

Answers

Hope this helps!!!!!!!!!!!!

A relationship between two expressions or values that are not equal to each other is called 'inequality. inequality 53(2x + 2) – 10 ≥ 2x + 2(23x + 2)  is x≥-92/58.

What is Inequality?

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The given inequality is

53(2x + 2) – 10 ≥ 2x + 2(23x + 2)

Apply the distributive property

106x+106-10≥ 2x + 46x+4

Add the like terms

106x+96≥ 48x+4

Take all common variables on one side

106x-48x≥4-96

106x-48x is 58 and 4 minus 96 is minus 92.

58x≥-92

x≥-92/58

Hence inequality 53(2x + 2) – 10 ≥ 2x + 2(23x + 2)  is x≥-92/58.

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Solve the triangles for X: include the steps if you can

Answers

Answer:

10) x=9

11) x=25

Step-by-step explanation:

a triangle is 180º total

10)   2x+8x+90=180

10x=90

x=9

11) 3x+1+2x+2+2x+2=180

7x+5=180

7x=175

x=25

maria has a share of 2/10 slice of cake what is the difficult form of the fraction

A. 0.02
B.0.2
C.0.002
D.0.20​

Answers

~fractions

= 2 ÷ 10

= B. 0,2 ✔️

the method is attached

~ nice to help you ^^

12 x 12 x 12 = 4 x # x 4 what number must replace the '#' symbol​

Answers

Answer:

I'm pretty sure it's 108.

Step-by-step explanation:

12 x 12 x 12 = 1,728

4 x 4 = 16

1,728 ÷ 16 = 108

5x + 5 = x + 25 what is x?

Answers

Answer:

x = 5

Step-by-step explanation:

5x + 5 = x + 25

subtract 5 from both sides

5x = x + 20

subtract x from both sides

4x = 20

divide both sides by 4

x= 20/4

x= 5

. At a certain airport, 75% of the flights arrive on time. A sample of 10 flights is studied. a. Find the probability that all 10 of the flights were on time.

Answers

Answer:

0.5256

Step-by-step explanation:

X ~ B(10,0.75)

q = 1 - 0.75 = 0.25

9.091 as a mixed number

Answers

9091/1000 just multiply!

What is the mean? 3 8 7 2 9 6 6 7​

Answers

Answer:

6

Step-by-step explanation:

To find the mean, you add up all the numbers and divide that by the number of numbers there are.

In this case, the total is [tex]3+8+7+2+9+6+6+7=48[/tex]

There are 8 numbers.

Thus, the mean is 48 ÷ 8 = 6

Hey there!

When you hear/see the word “mean” in mathematics it usually means “average” or “total”.

Formula: sum of the total numbers ÷ total numbers in the data plot

YOUR EQUATION:

3 + 8 + 7 + 2 + 9 + 6 + 6 + 7 ÷ 8

= 11 + 7 + 2 + 9 + 6 + 6 + 7 ÷ 8

= 18 + 2 + 9 + 6 + 6 + 7 ÷ 8

= 20 + 9 + 6 + 6 + 7 ÷ 8

= 29 + 6 + 6 + 7 ÷ 8

= 35 + 6 + 7 ÷ 8

= 41 + 7 ÷ 8

= 48 ÷ 8

= 6

Therefore, your mean is: 6

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

P= ?????????
Pls help and explain

Answers

Check the picture below.

1. Transplant operations have become routine. One common transplant operation is for kidneys. The most dangerous aspect of the procedure is the possibility that the body may reject the new organ. There are several new drugs available for such circumstances and the earlier the drug is administered, the higher the probability of averting rejection. The New England Journal of Medicine recently reported the development of a new urine test to detect early warning signs that the body is rejecting a transplanted kidney. However, like most other tests, the new test is not perfect. In fact, 20% of patients that experience kidney rejection and 9% of patients that do not experience kidney rejection receive a test result that proves to be incorrect. Physicians know that in about 30% of kidney transplants the body tries to reject the organ. If the new test has a positive result (indicating early warning of rejection), what is the probability that the body is attempting to reject the kidney?

Answers

Using conditional probability, it is found that there is a 0.7921 = 79.21% probability that the body is attempting to reject the kidney.

Conditional Probability

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.

In this problem:

Event A: Positive test.Event B: Body attempting to reject the kidney.

The percentages associated with a positive test are:

80% of 30%(experience kidney rejection).9% of 70%(do not experience kidney rejection).

Hence:

[tex]P(A) = 0.8(0.3) + 0.09(0.7) = 0.303[/tex]

The probability of both a positive test and the body attempting to reject the kidney is:

[tex]P(A \cap B) = 0.8(0.3) = 0.24[/tex]

Hence, the conditional probability is:

[tex]P(B|A) = \frac{0.24}{0.303} = 0.7921[/tex]

0.7921 = 79.21% probability that the body is attempting to reject the kidney.

A similar problem is given at https://brainly.com/question/25553471

What is the cost of 4 pounds of apples, if 3 pounds of apples cost $5.28 and the unit price for each pound of apples is the same?
HELP ASAP!

Answers

Answer:

$7.04

Step-by-step explanation:

We use proportions so if 3/$5.28 = 4/x. X being the price of 4 pounds. X works out to 7.039 with the 9 infinitely repeating. We round it up for cents and we get $7.04

i really need some help with these!

Answers

Answer C

Explain bc E is the midpoint and AC are segment

The answer is the letter A
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