How can you use ratios to convert metric units of measure?​

Answers

Answer 1

Answer:

We can convert any measuring unit to another by multiplying it by a very special ratio (or ratios) that equals ONE. We can form these special ratios from the conversion factors. For example, 1 ft = 12 in is a conversion factor, and we can write from it the ratios 1 ft/12 in and 12 in/1 ft, which both equal 1.

Answer 2

Answer: You can convert any measuring unit to another by multiplying it by ratios that equals one.

Step-by-step explanation:


Related Questions

Brianna measured the length of the cafeteria table in inches. She measured the same table in feet. Which unit would Brianna need more of to measure the length of the table? feet or inches and why?

A. She will need more inches than feet since feet are larger.
B. She will need more inches than feet since inches are larger.
C. She will need need more feet than inches since feet are smaller.
D. She will need the same number of inches and feet since they are the same size.

Answers

Answer:

A .she will need more inches than feet because feet are larger

Step-by-step explanation:


BCD is a straight line.
ABC is a triangle.
Show that triangle ABC is an isosceles triangle.
Give a reason for each stage of your working.

Answers

It’s an isosceles triangle because angle A is equal to angle C (63deg). This is calculated by 180 - 117 = 63 degrees.
Using the exterior angle is equal to the interior angles property, angle A is equal to 117 - 54 (which is 63).
Because these two angles are equal to eachother, the triangle is isosceles.
Hope this helps and please mark me brainliest

Yes, Triangle ΔABC is an isosceles triangle.

What are the properties of Triangle?

The properties of the triangle are:

The sum of all the angles of a triangle (of all types) is equal to 180°. The sum of the length of the two sides of a triangle is greater than the length of the third side. In the same way, the difference between the two sides of a triangle is less than the length of the third side.

We can prove that triangle ABC is an isosceles triangle using the fact that BCD is a straight line, and the angles of a triangle add up to 180 degrees.

First, we note that the angles of triangle ABC add up to 180 degrees:

∠ABC + ∠ACB + ∠BAC = 180 degrees

Since ∠ACD and ∠ACB are adjacent angles, we know that:

∠ACD + ∠ACB = 180 degrees

Substituting the value of ∠ACD (117 degrees) into this equation gives:

117 degrees + ∠ACB = 180 degrees

Simplifying, we get:

∠ACB = 63 degrees

Now we can rewrite the equation for the sum of the angles of triangle ABC as:

∠ABC + 63 degrees + ∠BAC = 180 degrees

Substituting the value of ∠ABC (54 degrees) and simplifying, we get:

∠BAC = 63 degrees

Since ∠ABC = ∠BAC, we have shown that triangle ABC is an isosceles triangle.

Reasoning:

The angles of a triangle add up to 180 degrees.Adjacent angles on a straight line add up to 180 degrees.Substituting the value of ∠ACD into the equation for adjacent angles on a straight line gives ∠ACB = 63 degrees.Substituting the value of ∠ABC and simplifying the equation for the sum of the angles of triangle ABC gives ∠BAC = 63 degrees.Since ∠ABC = ∠BAC, triangle ABC is an isosceles triangle.

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alex, Brittany, Charles, David, Eric and Felicia are six students sitting around a round table. David is to the right of Alex and Brittany is to the left of Charles. Felicia and David are opposite of each kther, as are Brittany and Eric. Who is sitting to the left of Felicia?​

Answers

Answer:

Charles

Step-by-step explanation:

I don’t know it help!

Answers

Answer: The answer is (4, 600)

Step-by-step explanation:

x² + 4 = 55
What is x

Answers

Answer:

7.1414284285

answer...

(b) (7.5 x 10^5) - (8.6 x 10^4) + (2.7 x 10^3) +(1.4 x 10^4)​

Answers

Answer:

680700

Step-by-step explanation:

this method can calculate more quickly

A bookstore pays $4.50 for a novel. The percent of markup is 45%. Find the novel's selling price. 55 TE OME TELE mm​

Answers

Answer:

Selling price= $6.53

Step-by-step explanation:

Giving the following information:

A bookstore pays $4.50 for a novel. The percent of markup is 45%.

To calculate the selling price, we need to use the following formula:

Selling price= purchase price*(1 + mark up percentage)

Selling price= 4.5*1.45

Selling price= $6.53

what’s the y-intercept? i found the slope already.

Answers

Answer:

3.5

Step-by-step explanation:

3.5 is the y-intercept because the point is (0,3.5). This is where it intercepts with the y-axis.

Hope it helps!

Suppose you have purchased a filling machine for candy bags that is supposed to fill each bag with 16 oz of candy. Assume that the weights of filled bags are approximately normally distributed. A random sample of 10 bags yields the following data (in oz):

15.87, 16.02, 15.78, 15.83, 15.69, 15.81, 16.04, 15.81, 15.92, 16.10

On the basis of this data, can you conclude that the mean fill weight is actually less than 16 oz?
a. State the appropriate null and alternate hypotheses.
b. Compute the value of the test statistic.
c. Find the P-value and state your conclusion.

Answers

Answer:

H0: μ ≥ 16

H1: < 16

−2.748749;

0.011275;

Reject the Null

Step-by-step explanation:

Given the data:

15.87, 16.02, 15.78, 15.83, 15.69, 15.81, 16.04, 15.81, 15.92, 16.10

Null hypothesis ; H0: μ ≥ 16

Alternative hypothesis ; H1: < 16

Sample size, n = 10

From the data:

Using calculator,

Sample mean, m = 15.887

Standard deviation, s = 0.13

The test statistic, T

(m - μ) / s/sqrt(n)

(15.887 - 16) / (0.13/sqrt(10))

= −2.748749

Using the p value from test statistic calculator :

Degree of freedom (df) = 10 - 1 = 9 at 0.05 significance level is 0.011275

Since the p value is < 0.05

0.011 < 0.05

We reject the Null and conclude that the mean fill weight is less than 16 oz

Never was given anything to help solve they just assume you know it

Answers

Answer: 0.4575

Step-by-step explanation:

.915/2

A restaurant serves hot chocolate that has a mean temperature of 175 degrees with a standard deviation of 8.1 degrees. Find the probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees. Would this outcome warrant a replacement cup (meaning that it would be unusual)

Answers

Answer: The probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees =0.042

This outcome would warrant a replacement cup.

Step-by-step explanation:

Let x be a random variable that represents the temperature of hot chocolates.

GIven: Mean temperature = 175 degrees

standard deviation = 8.1 degrees

The probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees =[tex]P(x<161)[/tex]

[tex]=P(\dfrac{x-\mu}{\sigma}<\dfrac{161-175}{8.1})\\\\=P(Z<-1.7284) [Z=\dfrac{x-\mu}{\sigma}]\\\\=1-P(Z<1.7284)\\\\=1-0.9580\\\\=0.042[/tex]

Hence, the probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees =0.042 < 0.5 (unusual)

i.e. this outcome would warrant a replacement cup.

what is the area of this tile?

10in

8in

6in

Answers

Answer: I can give you the volume: 480. But to find the area I need more context to know which are the length and width.

ILL GIVE BRAINLIEST! PLEASE ANSWER IF YOU SEE THIS!!! David has a container filled with quarters and nickels. He has 29 coins which add up to $5.85. How many quarters does he have?

Answers

22 quarters and 7 nickels
David has 22 quarters and 7 nickels.

There were 70 wings at the Super Bowl party. I ate 14. What percent of the wings did I devour?

Answers

Answer: omg yes I ate like 10 wings last night. Your answer should be 20

Step-by-step explanation:

Given the function f(x) = [tex]\frac{|x|}{x}[/tex] , find [tex]\lim_{x \to \00^-} f(x) and \lim_{x \to \00^+} f(x) and \lim_{x \to \00} f(x)[/tex]

Answers

Answer:

[tex]\displaystyle \lim_{x \to 0^-} f(x) = -1 \\ \lim_{x \to 0^+} f(x) = 1 \\ \lim_{x \to 0} f(x) = DNE[/tex]

General Formulas and Concepts:

Algebra I

Graphing FunctionsFunction Notation

Calculus

Limits

Evaluating Limits GraphicallyIf [tex]\displaystyle \lim_{x \to a^-} f(x) = \lim_{x \to a^+} f(x)[/tex], then [tex]\displaystyle \lim_{x \to a} f(x)[/tex] exists

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle f(x) = \frac{|x|}{x}[/tex]

Step 2: Graph/Evaluate

Graph the function so we can evaluate the given limits. See attachment.

We see from the function that when we approach 0 from the left, we will get a -1.

∴ [tex]\displaystyle \lim_{x \to 0^-} f(x) = -1[/tex]

We see from the function that when we approach 0 from the right, we will get a 1.

∴ [tex]\displaystyle \lim_{x \to 0^+} f(x) = 1[/tex]

Since the limit from the left does not equal the limit from the right, the limit as x approaches 0 of f(x) does not exist (DNE).

The sum of two numbers is 55. The large number is 13 more than the smaller number. What are the numbers?

Answers

Answer:

x = 34

y = 21

thus the two numbers are 34 and 21...

The smaller number is 21, and the larger number is 34 when the sum of two numbers is 55. The large number is 13 more than the smaller number.

Let's assume the smaller number is represented by x.

According to the given information, the larger number is 13 more than the smaller number. So, the larger number can be represented as (x + 13).

The sum of the two numbers is 55. We can set up the equation:

x + (x + 13) = 55

Simplifying the equation:

2x + 13 = 55

Subtracting 13 from both sides:

2x = 42

Dividing both sides by 2:

x = 21

Now that we have found the value of x (the smaller number), we can find the larger number by substituting it back into the expression (x + 13):

Larger number = x + 13 = 21 + 13 = 34

Therefore, the smaller number is 21, and the larger number is 34.

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how many solutions does the problem c*r*(a+f+t)=21 have if different letters represent different digits

Answers

Step-by-step explanation:

Factors of 21 are 1, 3, 7 and 21.

a + f + t cannot be 1 or 3 as it cannot be written as a sum of 3 distinct digits, so it is 7.

The smallest 3 remaining digits are 2, 5 and 6 which add to 13.

So there are no solutions.

Answer: 12

Step-by-step explanation:

21 = 21 x1 3x7

=1x3 expand over3= 12

Which expression is equivalent to
3x + 2(4y + x)?

Hurry please, thanks!

Answers

Answer:

A.

Step-by-step explanation:

The rates of currency exchange published in the newspaper on a certain day showed that 12 pounds could be exchanged for 96 dollars. How many dollars could be obtained for 102 pounds?

Answers

Answer:

Step-by-step explanation:

Your answer

816 dollars

Mark it as Brainlist answer. Follow me.

2x(x - 3) + 7(x - 3)
Can I have an explanation on how it works factors

Answers

Answer:

Step-by-step explanation:

2x(x - 3) + 7(x - 3)

2x^2 - 6x + 7x - 21

reduce

2x^2 + x - 21

if this is equal to 0 then:

2x^2 + x - 21 = 0

factored:

(2x + 7)(x - 3) = 0

How that was done:

Divide the (2x^2) into (2x) and (x).

Divide the (-21) into (+7) and (-3). You choose these numbers so that their sum, when multiplied by (2x) and (-3), adds up to (+x).  

A set of equations is given below:

Equation M: y = 3x + 4
Equation P: y = 3x + 7

Which of the following options is true about the solution to the given set of equations? (4 points)

Question 5 options:

1)

No solution

2)

One solution

3)

Two solutions

4)

Infinite solutions

Answers

Answer:

Step-by-step explanation:

No solution. Lines M and P have the same slope but different y-intercepts., so they are parallel lines.

Parallel lines don’t intersect each other, so there is no solution.

The answer is option 1)No solution

both equations have same slope and different y intercepts so they are parallel, parallels always have no solution

hope this helps !

The diameter of a bike wheel is 27 inches. If the wheel makes 15 complete rotations,
how far does the bike travel?

Answers

405 inches - 27 x 15 = 405

WILL GIVE BRAINLIEST TO CORRECT ANSWER!!!

The perimeter of a triangle is 63 in. The longest side is 12 in. longer than the medium side, and the medium side is 6 in. more than the shortest side. Find the length of each side of the triangle?

1. longest side is?
2. medium side is?
3. shortest side is?​

Answers

Answer:

1.13

2.19

3.31

Step-by-step explanation:

Let the length of the shortest side be a.

a+a+6+a+6+12=63

3a=39

a=13

What is this fraction shown above?

Answers

Answer:

1/3 because they have only colored on out of three, so the answer will be 1/3. Hope this helped!

Step-by-step explanation:

1/3 hope you pass!!

Debra is buying prizes for a game at her school's fundraiser. The game has three levels of prizes, and she has already bought the second and third prizes. She wants the first prize to be nice enough to attract people to the game. The game's manufacturer has supplied her with the probabilities of winning first, second, and third prizes. Tickets cost $3 each, and she wants the school to profit an average of $1 per ticket. How much should she spend on each first prize

Answers

Answer:

$9.19

Step-by-step explanation:

We are given that

Cost of each ticket=$3

Average profit per ticket=$1

Expect gain for ticket purchaser must be -$1

Let x be the cost of first prize

Probability of first prize=0.15

Probability of second prize=0.30

Probability of third prize=0.45

Cost of second prize=$1.15

Cost of third prize=$0.74

Total probability=0.15+0.30+0.45=0.9

Probability of winning =0.9

Probability of losing=1-0.9=0.1

According to question

[tex]x(0.15)+0.30(1.15)+0.74(0.45)-3(0.1)=-1[/tex]

[tex]0.15x+0.378=-1[/tex]

[tex]0.15x=-1-0.378[/tex]

[tex]0.15x=-1.378[/tex]

[tex]x=-\frac{1.378}{0.15}=-9.19[/tex]

Hence, she spend money on each first prize=$9.19

(10-3)x(3-2^5) Use pemdas.

Answers

Answer:

-203

Step-by-step explanation:

(10−3)×(3−2^5 )

Subtract 3 from 10 to get 7.

7(3−2^5 )

Calculate 2 to the power of 5 and get 32.

7(3−32)

Subtract 32 from 3 to get −29.

7(−29)

Multiply 7 and −29 to get −203.

−203

Pemdas (parenthesis, exponents, multiply, divide, add and subtract)
So first we start with the parenthesis
(10-3) which is 7 and
(3-2^5) since exponents is next it would be (3-32) which is -29
So now we have 7 x -29 which is -203

What is 4 2/3 + 5 1/12
You did not give me even close to the correct answer

Answers

Answer:

9 3/4! I hope this helps!

Step-by-step explanation:

Find an equivalent expression -2(6d-1) + 2(d-4)
PLSSSSS I need help

The options are
1.) 10d + 26
2.) -10d+ 26
3.) -10d-6
4.) 10d +16
5.) 10d - 4

thankyouuu

Answers

Answer:

3 . - 10d - 6

Step-by-step explanation:

-2(6d-1) + 2(d-4)

= - 12d + 2 + 2d - 8

= - 10d - 6

Hope it will help :)❤

Is 15/16 bigger than less than or equal to 1/2

Answers

Answer:15/16 > 1/2

Step-by-step explanation:

Answer:

15/16 is greater

Step-by-step explanation:

What’s the side length of x2+4x+4

Answers

Answer:

(x+2)^2

Step-by-step explanation:

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