Converting fractions, decimals, and percents
When we talk, we often use different words to express the same thing. For example, we could describe the same car as tiny or little or small. All of these words mean the car is not big. Fractions, decimals, and percents are like the words tiny, little, and small. They're all just different ways of expressing parts of a whole.
screenshot of 1/2
In this image, each measuring cup has the same amount of juice in it. But we've expressed this amount in three ways: as a fraction, as a percent, and as a decimal. Since they're expressing the same amount, we know that 1/2, 50%, and 0.5 are equal to each other. Any time we see 1/2, we'll know it can also mean 50% or 0.5.
Sometimes it's useful to convert one kind of number into another. For example, it's much easier to add 1/4 and 0.5 if you turn 0.5 into a fraction. Learning how to convert fractions, decimals, and percents will also help you as you learn more advanced math.
Fractions and decimals
Every fraction can also be written as a decimal, and vice versa. You may not do this very often, but converting decimals and fractions can help you in math. For example, it's easier to subtract 1/6 from 0.52 if you turn 1/6 into a decimal first.
Converting a fraction into a decimal
Let's convert a fraction into a decimal. We'll be using a math skill you've already learned: long division. To refresh your memory on this skill, you can review our Long Division lesson.
Step-by-step explanation:
Hope this is understood
Meteorologists recorded a temperature change from 72˚F to 28˚F in one day. Write an equation that represents how many degrees the temperature fell.
Answer:
72-x=28 or 72-28=x
Step-by-step explanation:
Ar a furniture store, a bed frame costs $440 and mattress costs $654. There are currently 7 bed frames in the store, and together the bed frames and the mattresses are worth $10,820. How many mattresses are in the store?
A.1
B.5
C.12
D.15
A step y step explanation please!
Answer:
the three angles of a triangle have measures x,2x,and 4y,where x>56.If x and y are integers, what is one possible value of y?
Tanya runs diagonally across a rectangular field that has a length of 40 yards and a width of 30 yards, as shown in the diagram. What is the length of the diagonal, in yards, that Tanya runs?
Answer:
70 besarse you have to add
PLEASE HELP ME I WILL GIVE YOU A BRAINILIST
A six sided die is rolled then a quadrilateral is chosen at random parallelogram ,rhombus, rectangle square and trapezoid. What is the probability of getting five quadrilateral with four congruent sides?
Answer:
1. Square
2. Rhombus
I hope I helped, if not please let me know and I will correct my answer.
Happy new year, good luck with your future studies.
Step-by-step explanation:
The probability of getting five quadrilateral with four congruent sides is,
⇒ 1 / 3
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Given that;
A six sided die is rolled then a quadrilateral is chosen at random parallelogram ,rhombus, rectangle, square and trapezoid.
Hence, Total number of outcomes = 6
And, We know that;
Square and Rhombus have four congruent sides.
Hence, Number of possible outcomes = 2
Thus, The probability of getting five quadrilateral with four congruent sides is,
⇒ 2 / 6
⇒ 1 / 3
Learn more about the probability visit:
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Select the correct answer from each drop-down menu.
1_____ × 10-3 is 2,000 times greater than 1.9 × 10-6. It is also
2_____ times greater than 9.5 × 10-4.
Answer:
Well, 1 is 3.8 The second one is 40,
Step-by-step explanation:
I believe 1 is 3.8, b/c 1.9*2 is 3.8, and the difference between exponents makes 3 zeros, so 2000.
The second one is 40, I confirmed this by doing .0001 to replicate 10 to the negative 4th power
By doing 9.5*.0001*40, I got the 0.038 from 1
Answer:
3.8 × 10-3 is 2,000 times greater than 1.9 × 10-6. It is also 4 times greater than 9.5 x 10-4.
Step-by-step explanation:
I started by doing 0.0000019 x 2000 and got 0.0038. If you move the decimal point 4 over you get 3.8.
EVERYONE ELSE IS WRONG!!! I got this correct on the test after retaking it, the second one is NOT 40 it is 4.
The number of gallons used to wash dishes varies directly with the number of loads. If it takes 65 gallons to wash 5 loads. How many gallons would be needed to wash 3 loads?
Answer:
13 gallons
Step-by-step explanation:
Answer:
39 gallons
Step-by-step explanation:
We would use a simple relation here
65 gallons washes 5 loads, then
65/5 gallons will wash one load
13 gallons washes one load
Now, to find 3 loads will be
13 * 3 gallons = 39 gallons
is 4(x+1) - 3 and 4x + 1 equivalent and why ??
Answer:
Step-by-step explanation:
4x + 4 - 3
= 4x + 1
Yes they both are equivalent because the algebraic expression is same
Read the caption! And pls help me :))
Answer:
ASA
Step-by-step explanation:
If 2 angles and the included side of one triangle are congruent to 2 angles and the included side of the other triangle, then the triangles are congruent.
The included side is the side between the vertices of the 2 triangles.
Here
∠ S = ∠ W ( 1 angle )
∠ R = ∠ X ( 2 angles )
RS = XW ( side between the 2 angles )
Thus the 2 triangles are congruent by the ASA postulate
please help im stuck on this question and its due for tomorrow please help!
rearrange y= 1/3x+1 to make x the subject
please help ill be very grateful tysm x
9514 1404 393
Answer:
x = 3(y -1)
Step-by-step explanation:
In this, and any, "solve for ..." situation, you want to first take a look at where the variable of interest is in the equation, and what has been done to it.
Here, x is on the right side (only). It has these operations done to it:
multiplied by 1/31 added to the productYou solve for x by undoing these operations, in reverse order. As always, with any equation, you do the same thing to both sides of the equation.
__
First, we will undo "add 1". We do that by adding the opposite of 1.
y -1 = 1/3x +1 -1 . . . . . -1 added (to both sides)
y -1 = 1/3x . . . . . . . . . simplify
To undo the "multiply by 1/3", we can multiply by the "multiplicative inverse" (reciprocal) of 1/3. That is, we want to multiply by 3.
3(y -1) = 3(1/3x) . . . . . multiply (both sides) by 3
3(y -1) = x . . . . . . . . . simplify
We can leave it like this.
x = 3(y -1)
Or, we can eliminate parentheses using the distributive property .
x = 3y -3
These are completely equivalent equations with x as the subject.
One batch of cookies requires two eggs and two and a half cups of flour. How many cups of flour are needed to make three and a half batches of Cooke's?
Answer:
7 1/2
Step-by-step explanation:
Write an equation and solve. Round to the nearest hundredth where necessary.
16 is what percent of 32?
A.) 16 = n • 32; 55%
B.) 16 = n • 32; 50%
C.) 32 = 16 • n; 2%
D.) 32 = 16 • n; 42.5%
please help me i will mark brainliest!!! Rewrite as a simplified fraction 0.612 also the 12 is repeating
Answer:
= 68/111
Step-by-step explanation:
What is the congruence theorem used to prove that the two triangles are congruent?
Answer:
ASA
Step-by-step explanation
They have a congruent angle at the top of the triangle and they both have a right angle at the bottom. They share the same side, so this is ASA.
I need help ASAP thanks xd
Keisha makes a large sandwich for a family picnic. She takes
1\2
of the sandwich to the picnic. At the picnic, her family eats
1/4
of the whole sandwich.
What fraction of the whole sandwich does Keisha bring back from the picnic?
I will brainliest Please
Answer:
3/4 becuae fractions if u have 1/2 which is like 50% and take 25% of it u have only 25% left
simplify this expression 4^5/4^3
Answer:
It is 4 squared
Step-by-step explanation:
When dividing exponents it’s almost like subtraction so 4^5/4^3 is 4^2
Solve for X (This should be easy)
Answer:
17
Step-by-step explanation:
15^2+8^2=17^2
use the area of a triangle to write a formula for the area of a regular polygon and solve of the formula for height
Answer:
4
Step-by-step explanation:
[Function Composition] could someone help me with this answers or show work either is fine
Answer:
(f ￮ g)(8) = - 6
Step-by-step explanation:
Evaluate g(8), then substitute the value obtained into f(n)
g(8) = 8 - 2 = 6 , then
f(6) = - 6
Answer:
-62
Step-by-step explanation:
Two functions are given to us , which are ,
[tex]\bf\implies f(n)= -n \\\\\bf\implies g(n)= n - 2 [/tex]
We need to find , ( f • g )(8) . So ,
⇒ ( f • g) = - n ( n - 2 )
⇒ ( f • g) = -n² + 2
⇒ (f • g) = 2 - n²
==================================
Substituting n = 8 :-
⇒ ( f • g)(n) = 2 - n²
⇒ ( f • g)(8) = 2 - 8²
⇒ (f • g)(8) = 2 - 64
⇒ ( f • g)(8) = -62 .
Hence the required answer is (-62) .Mara put down 7.5% on the purchase of her new home. If she put down $14.175, find the purchase price of the home
Given:
Mara put down 7.5% on the purchase of her new home.
She put down $14.175.
To find:
The purchase price of the home.
Solution:
Let x be the purchase price of the home.
According to the question,
Put down = 7.5% of the purchase price of the home.
[tex]14.175=\dfrac{7.5}{100}\times x[/tex]
[tex]14.175=0.075x[/tex]
Divide both sides by 0.075.
[tex]\dfrac{14.175}{0.075}=x[/tex]
[tex]189=x[/tex]
Therefore, the purchase price of the home is $189.
1/6 x 8 + 2/3 x 9/8 =
Answer:
A
Step-by-step explanation:
do the multiplication first
Answer:
25 /12
Step-by-step explanation:
its the first one.
I did it on math_way
Please help me ASAP!!!
Answer: -5, 5, 9
Step-by-step explanation: Range means y values.
Fu Haifeng of China set a badminton world record with a smash of 332 kilometers per hour. A kilometer is about 58 mile.What is the speed in miles per hour, to the closest whole number?
Answer:
206 miles/hour
Step-by-step explanation:
1 kilometre per hour = 0.621 mile per hour
332 km/hr to miles per hour
= 332 km/hr × 0.621 miles per hour
= 206.295 miles per hour
Approximately to the nearest whole number
= 206 miles per hour
Badminton world record smash speed in miles is 260.17 mile per hour.
Convert into mile per hour:Given that;
Badminton world record smash = 332 kilometers per hour
1 kilometer per hour = 0.621 mile per hour
Find:
Badminton world record smash speed in miles
Computation:
Badminton world record smash speed in miles = 332 × 0.621
Badminton world record smash speed in miles = 260.17 mile per hour
Find more information about 'mile per hour'.
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For each percentage, find a matching statement to describe it. PLZ HELP!!!
16c^2+ 18c+5
Factor Each Trinomial.
Answer:
(2c +1)(8c+5)
Step-by-step explanation:
I got my answer based off how i understood the problem.
What is the value of the expression below when x=4?
7x^2+8x−7
Answer:
137
Step-by-step explanation:
when x=4 , We substitute in the above equation
(7 x 4²)+(8x4)-7 = 112+25 =137
A recipe for cake used 3 1/3 cups of flour. Audre has 12 1/12 cups of flour. What is the most number of cakes she can make?
Answer:
3 cakes.
Step-by-step explanation:
12 1/2 divided by 3 1/3 gives you 3.625, then you round it off to 3.
Answer:
3 cakes hope this helps :)
3x + 1 = 10
Show work
Answer:
x = 3
Step-by-step explanation:
3x + 1 = 10
subtract 1 from both sides of the equation
3x + 1 - 1 = 10 - 1
3x = 10 - 1
3x = 9
divide both sides of the equation by 3
3x/3 = 9/3
x = 9/3
x = 3
Answer:
X=3
Step-by-step explanation:
3x+1=10 -> switch 1 3x = 10 - 1
3x = 9
9/3 = 3
5. A broken rectangular-shaped window is
being replaced. It measures 24 inches by 187
inches. How many square inches of glass are
needed to repair the window? Draw a picture
to help.
Answer:
4488
Step-by-step explanation:
(24)(187)
if you had a score of 60% how many marks out of 150 did he obtain
Answer:
90
Step-by-step explanation:
60/100=x/150
180/300=2x/300
2x=180
x=90
Answer:
90 marks
Step-by-step explanation:
10 % of 150 is 15
multiply that by 6
60% of 150 is 90