Simplifying fractions Sheet 2
Simplifying fractions:
1) [tex]\frac{14}{20} =\frac{7}{10}[/tex] 2) [tex]\frac{4}{8} =\frac{1}{2}[/tex]
3) [tex]\frac{9}{12} =\frac{3}{4}[/tex] 4) [tex]\frac{12}{15} =\frac{4}{5}[/tex]
5) [tex]\frac{8}{18} =\frac{4}{9}[/tex] 6) [tex]\frac{14}{21} =\frac{2}{3}[/tex]
7) [tex]\frac{12}{16} =\frac{3}{4}[/tex] 8) [tex]\frac{10}{24} =\frac{5}{12}[/tex]
9) [tex]\frac{15}{35}=\frac{3}{7}[/tex] 10) [tex]\frac{13}{26} =\frac{1}{2}[/tex]
11) [tex]\frac{11}{55}=\frac{1}{5}[/tex] 12) [tex]\frac{9}{21} =\frac{3}{7}[/tex]
13) [tex]\frac{16}{26} =\frac{8}{13}[/tex] 14) [tex]\frac{20}{32} =\frac{5}{8}[/tex]
15) [tex]\frac{18}{24} =\frac{3}{4}[/tex] 16) [tex]\frac{21}{27} =\frac{7}{9}[/tex]
17) [tex]\frac{4}{32} =\frac{1}{8}[/tex] 18) [tex]\frac{25}{40} =\frac{5}{8}[/tex]
Hope this helps :)
Given the definitions of f (x) and g(x) below, find the value of (g • f)(9).
f(x) = -x +11
g(x) = 3x^2– x+ 14
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Answer:
(g·f)(9) = 496
Step-by-step explanation:
One way to do this is to find the values of g(9) and f(9).
g(9) = (3x -1)x +14 = (3(9) -1)(9) +14 = 26(9) +14 = 248
f(9) = -(9) +11 = 2
Then ...
(g·f)(9) = g(9)·f(9) = 248·2
(g·f)(9) = 496
(Help please)
If 1 liter = 1.057 quarts, how many quarts are in 1 kiloliter?
( )quarts
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Answer:
1057 quarts
Step-by-step explanation:
"Kilo-" is an SI prefix meaning 1000. 1 kiloliter is 1000 liters, so will be ...
1000 liters = 1000 × 1.057 quarts = 1057 quarts
What is 62 1/2 in a fraction?
Answer:
125/2
Step-by-step explanation:
62 * 2 = 124
124 1/2 = 124 + 1 = 125/2
Answer:125/2
Step-by-step explanation:
Express 2 as a fraction
Answer:
2/1 would be the answer since you have a whole number
Answer:
2/1
Step-by-step explanation:
when expressing two as a fraction, you're only demonstrate that invisible denominator of 2, as it will get your back to 2 when you calculate it
Brianna predicted that 16 puppies would
be sold at the pet store on Saturday.
However, only 9 were sold. What was
Brianna's percent error?
1466899876+245689999999&&
please mark this answer as brainlist
3√12•√6
please show a step by step explanation
Answer: [tex]18\sqrt{2}\\\\[/tex]
This is the same as saying 18*sqrt(2) or you could say 18√2
============================================================
Explanation:
We'll be using this square root rule: [tex]\sqrt{A}*\sqrt{B} = \sqrt{A*B}[/tex]
So we could have this as our steps:
[tex]3\sqrt{12}*\sqrt{6}\\\\3\sqrt{12*6} \ \text{ ... Apply the rule mentioned}\\\\3\sqrt{72}\\\\3\sqrt{36*2}\\\\3\sqrt{36}*\sqrt{2} \ \text{ ... Apply the rule again, but in reverse}\\\\3*6*\sqrt{2}\\\\18\sqrt{2}\\\\[/tex]
Therefore, [tex]3\sqrt{12}*\sqrt{6} = 18\sqrt{2}[/tex]
The basic idea is to first combine the roots using that rule. From there, we factor the radicand such that we pull out the largest perfect square factor. This will allow us to break the root apart and fully simplify it.
The arithmetic mean of ten numbers is 36. if one of the numbers is 18,What is the mean of the other nine?
My answer is in the picture
Find the distance between the points (5, 3) a
and (5, -6).
Answer:
Answer is 9.
Step-by-step explanation:
a (5, 3), b (5, -6)
[tex]\sqrt(x^2 - x^1) ^2+(y^2- y^1)^2\\\sqrt(5 - 5)^2 +(-6- 3)^2\\\\\sqrt(0)^2 +(-9)^2\\\\\sqrt(81)\\\\9[/tex]
Answer: 9
Step-by-step explanation:
Sqrt (5-5)^2+(-6-3)^2 =
Sqrt (0)+(-9)^2
Sqrt 81 = 9
15-(4m - 5) = 32 please help me
Answer:
m = -3
Step-by-step explanation:
15 - (4m - 5) = 32 (Given)
15 - 4m + 5 = 32 (Distributed)
20 - 4m = 32 (Added like terms)
20 - 4m - 20 = 32 - 20 (Subtract 20 on both sides)
-4m = 12 (Simplify)
-4m/-4 = 12/-4 (Divide -4 on both sides)
m = -3 (Simplify)
Joseph wants a television for his
birthday that originally cost $740. Right
now, the television is on sale for 40%
off! Joseph's dad agreed to buy it, as
long as Joseph pays for 30% of the cost.
How much will Joseph have to pay?
Answer: $133.20
Step-by-step explanation:
Simplify the expression below, if a=2/5 and b=-1/6. Leave your answer as a fraction.
10a−5ab+4b
Answer:11/3
Step-by-step explanation:
1Determine the vertex of the quadratic function f(x) = (x - 3)^2 +7.
Please give detailed steps!! thank you
Answer:
vertex = (- 3, 7 )
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
f(x) = (x - 3)² + 7 ← is in vertex form
with vertex = (3, 7 )
a structure The table shows the distance below ground of items found at an archaeological site Researchers also found a mouse fossil at the same site. Which, if any, of the items in the table were a greater distance below ground than the mouse fossil shown? 1 Item Distance below ground (feet) Spoon key cup 42 62 bowl for Problems 14-17, find the LCM of the number pair
Spoon ;
[tex]5 \frac{3}{8} = \frac{43}{8} = 5.375[/tex]
Key ;
[tex]6 \frac{3}{4} = \frac{27}{4} = 6.75[/tex]
Cup ;
[tex]4 \frac{3}{12} = \frac{17}{4} = 4.25[/tex]
bowl;
[tex]5 \frac{5}{6} = \frac{35}{6} = 5.83[/tex]
The distance from the smallest to the largest ; 4.25 , 5.375 , 5.83 , 6.75 So the greater distance —> Key = 6.75[tex]key = 6 \frac{3}{4} = \frac{27}{4} = 6.75[/tex]
I hope I helped you^_^
14. Determine the y-intercept of the quadratic function f(x) = x^2+ 8x - 13
please give detailed steps/walkthrough!! thank you
Answer:
When we talk about Intercept... We refer to the place where the line touches or Crosses a Mentioned axis.
In this question... We needed the y - Intercept
Know This: At the intercept of a mentioned axis...The other axis is zero at that point.
In other words... If we're asked for intercept at x-axis ... The y value at that point is zero and Vice Versa
So To find the y Intercept... the x value at this point is zero(0).
With this in Mind...
substitute x = 0 into the quadratic eqn
f(x) = 0² +8(0) - 13
f(x) = -13
This is Our Y Intercept .
To get the x intercept(if asked)
substitute y = 0 and solve
0 = x² + 8x - 13
This is a quadratic equation
Solving this would get you two value and those values would be your x intercept.
I hope it helps.
Have a great day.
i have a school project and really don’t pay attention in class … so i need to know What is an equation in integers that equals " 1 " ? ♀️
Answer:
Step-by-step explanation:
The answer is actually
Let:
S=1+2+3+4+5+6+7+8+9+n
We know the answer to the following infinite sum:
S2=1-1+1-1+1-1+1-1+1-1+1-1+1-....= - 1/2
We can therefore solve for this sum:
S3=1-2+3-4+5-6+7-8+9-....
We add them:
S3= 1-2+3-4+5-6+7-8...
S3= +1-2+3-4+5-6+7-8...
________________
2S3= 1-1+1-1+1-1+1-1+1-....
Therefore:
2S3=S2=
4/x-7=7/x+6
What is x
Answer:
21
Step-by-step explanation:
[tex]4x + 24 = 7x - 49 \\ then \: collect \: the \: same \: variable \\ 4x - 7x = - 49 - 24 \\ x = - 63 \div - 3 = 21[/tex]
Write 52,640 in scientific notation. Please
Answer:
5.264 * 10^4
Step-by-step explanation:
We put a decimal point to the right of the number, so
52640.
Then we move it to the left until we get a number that is between 1 and 10.
5.2640
This was four hops to the left.
We can remove the trailing 0, and write
5.264 * 10^4
10^4 because of the four hops
Answer:
5.264×10^4
Step-by-step explanation:
10^4 = 10,000 x 5.264 = 52,640
2n-3/5=5
Solve for n
Okay this is the answer I hope this help
what is the diagnosis of a rectangular room which measures 16 feet by 7 feet
Eli wants to buy a video game that costs 35$ he has a 25$ coupon how much is the discount what will he pay for the video game
Answer:
He will pay $10
Step-by-step explanation:
35-25=10
Solve for t and show your work in details please
Answer:
0t=8
Step-by-step explanation:
3t+4=12+3t
3t-3t=12-4
0t=8
Mary is putting money into savings account. She starts with $750 in the savings accounts, and each week she adds $30. Let S represent The total amount of money in the savings account (in dollars), and Let w represent the number of weeks Mary has been equation relating S to W. Then use this equation to find the total amount of money in the savings account after 11 weeks.
Answer:
$1080
Step-by-step explanation:
s=30w+750
s=30(11)+750
s=330+750
s=1080
-5-
2.4.1
The school ask you to determine the number scale of the drawing if the map length
actual 20 m boundary measurCs 16 cm on the diawing.
(Remember that both units must be the same
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Answer:
1/125
Step-by-step explanation:
The map scale is usually shown as the ratio of the map distance to real-world distance. Here, that is ...
16 cm : 20 m = 16 cm : 2000 cm = 16 : 2000 = 1 : 125
The map scale is 1/125.
a shopkeeper buys an old fridge for 7220. he spends 1235 for repairing it and sells it for 8500. what is the profit or loss
Answer:
profit is 45 dollars
Step-by-step explanation:
you add 7220+1235 to get 8455 and he sold it for 8500 so that's a 45$ profit
If 8 men or 17 boys do a piece of work in 26 days, in how many days will 4 men and 24 boys take do a piece of work 5 times as great ?
Answer:
which class Of question is this
in a survey of a school 300 student favour to play volleyball 200 student favour to play cricket and 110 favour both find the number of students who favour to play cricket only and find the number of student who favour to play either volleyball or cricket
What is the answer to this (2)(-5) -(-3)
Answer:
-8
Step-by-step explanation:
(2)(-5) -(-3)
Multiply:
2 × -5 = -10
-10 -(-3)
-10 + 3
-8
Hope this helped.
Answer:
(2) (-5)- (-3)
-10 - (-3)
-10 + 3
-7
therefore the final answer is ((( -7 )))
Step-by-step explanation:
hope this helps
15 cm
C
8 cm
Perimeter =
cm, Area =
square cm
Answer:
refer to workings
Step-by-step explanation:
Perimeter=15+15+8+8=46cm
Area=15×8=120cm²