Answers
Answer:
Step-by-step explanation:
7/15 + 3/5
I'd multiply 3/5 by 3 so that both of the denominators (bottom number) are the same.
Now all we have to do is add the Numerators tog
7/15 + 9/15ether (the top number)
7/15 +9/15 = 16/15 or 1 1/15
Answer:
Step-by-step explanation:
As the fractions are not like fraction, find LCM for 5 and 15
5 is a prime number and 15 is multiple of 5.So, LCM = 15
[tex]\dfrac{3}{5}=\dfrac{3*3}{5*3}=\dfrac{9}{15}\\\\\dfrac{7}{15}+\dfrac{3}{5}=\dfrac{7}{15}+\dfrac{9}{15}[/tex]
[tex]= \dfrac{7+9}{15}\\\\=\dfrac{16}{15}\\\\= 1\dfrac{1}{15}[/tex]
Related Questions
Insert the indicated number of arithmetic means between the given first and last
terms of an arithmetic sequence.
1. 2 and 32 [1]
2. 6 and 54 [3]
3. 68 and 3 [4]
4. 10and 40 [5]
5. 1⁄2 and 2 [2]
Answers
The complete Arithmetic Sequence for each of the sequences are;
1) 2, 17, 32
2) 6, 18, 30, 42, 54
3) 68, 55, 42, 29, 16, 3
4) 10, 15, 20, 25, 30, 35, 40
5) ½, 1, 3/2, 2
How to solve arithmetic sequence?
1. Using the formula for the nth term of an arithmetic sequence:
a_n = a₁ + (n - 1)d , find d.
a₁ = 2 n = 3
a_n = a₁ + (n – 1)d
32 = 2 + (3 – 1)d
32 = 2 + (2)d
32 = 2 + 2d
32 – 2 = 2d
30 = 2d
30/2 = 2d/2
15 = d
Using d = 15, find a₂.
a₂ = a₁ + (2 – 1)15
a₂ = 2 + (1)15
a₂ = 2 + 15
a₂ = 17
2. Using the formula for the nth term of an arithmetic sequence:
a_n = a₁ + (n - 1)d , find d.
a₁ = 6 n = 5 a_n = 54
a_n = a₁ + (n – 1)d
54 = 6 + (5 - 1)d
54 = 6 + (4)d
54 = 6 + 4d
54 - 6 = 4d
48 = 4d
48/4 = 4d/4
12 = d
Using d = 12, find a₂, a₃, and a₄.
a₂ = a₁ + (n - 1)d a₃ = a₁ + (n - 1)d a₄ = a₁ + (n - 1)d
a₂ = 6 + (2 - 1)12 a₃ = 6 + (3 - 1)12 a₄ = 6 + (4 - 1)12
a₂ = 6 + (1)12 a₃ = 6 + (2)12 a₄ = 6 + (3)12
a₂ = 6 + 12 a₃ = 6 + 24 a₄ = 6 + 36
a₂ = 18 a₃ = 30 a₄ = 42
3. Using the formula for the nth term of an arithmetic sequence:
a_n = a₁ + (n - 1)d , find d.
a₁ = 68 n = 6 a_n = 3
a_n = a₁ + (n – 1)d
3 = 68 + (6 - 1)d
3 = 68 + (5)d
3 = 68 + 5d
3 - 68 = 5d
-65 = 5d
-65/5 = 5d/5
-13 = d
Using d = -13, find a₂, a₃, a₄ and a₅.
a₂ = a₁ + (n - 1)d a₃ = a₁ + (n - 1)d a₄ = a₁ + (n - 1)d
a₂ = 68 + (2 - 1)-13 a₃ = 68 + (3 - 1)-13 a₄ = 68 + (4 - 1)-13
a₂ = 68 + (1)-13 a₃ = 68 + (2)-13 a₄ = 68 + (3)-13
a₂ = 68 - 13 a₃ = 68 - 26 a₄ = 68 - 39
a₂ = 55 a₃ = 42 a₄ = 29
a₅ = a₁ + (n - 1)d
a₅ = 68 + (5 - 1)-13
a₅ = 68 + (4)-13
a₅ = 68 - 52
a₅ = 16
4. Using the formula for the nth term of an arithmetic sequence:
a_n = a₁ + (n - 1)d , find d.
a₁ = 10 n = 7 a_n = 40
a_n = a₁ + (n – 1)d
40 = 10+ (7 - 1)d
40 = 10 + (6)d
40 = 10 + 6d
40 - 10 = 6d
30 = 6d
30/6 = 6d/6
5 = d
Using d = 6, find a₂, a₃, a₄ a₅ and a₆.
a₂ = a₁ + (n - 1)d a₃ = a₁ + (n - 1)d a₄ = a₁ + (n - 1)d
a₂ = 10 + (2 - 1)5 a₃ = 10 + (3 - 1)5 a₄ = 10 + (4 - 1)5
a₂ = 10 + (1)5 a₃ = 10 + (2)5 a₄ = 10 + (3)5
a₂ = 10 + 5 a₃ = 10 + 10 a₄ = 10 + 15
a₂ = 15 a₃ = 20 a₄ = 25
a₅ = a₁ + (n - 1)d a₆ = a₁ + (n - 1)d
a₅ = 10 + (5 - 1)5 a₆ = 10 + (6 - 1)5
a₅ = 10 + (4)5 a₆ = 10 + (5)5
a₅ = 10 + 20 a₆ = 10 + 25
a₅ = 30 a₆ = 35
5. Using the formula for the nth term of an arithmetic sequence:
a_n = a₁ + (n - 1)d , find d.
a₁ = 1/2 n = 4 a_n = 2
a_n = a₁ + (n – 1)d
2 = 1/2+ (4 - 1)d
2 = 1/2 + (3)d
2 = 1/2 + 3d
2 - 1/2 = 3d
3/2 = 3d
3/2/3 = 3d/3
1/2 = d
Using d = 1/2, find a₂, and a₃.
a₂ = a₁ + (n - 1)d a₃ = a₁ + (n - 1)d
a₂ = 1/2 + (2 - 1)1/2 a₃ = 1/2 + (3 - 1)1/2
a₂ = 1/2 + (1)1/2 a₃ = 1/2 + (2)1/2
a₂ = 1/2 + 1/2 a₃ = 1/2 + 1
a₂ = 1 a₃ = 3/2
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#SPJ1
Please help if you can solve this puzzle I don’t know how to do it
Answers
Answer:
January 28 Dalton Math Skateboard
February 17 Sierra Woodshop Segway
May 9 Anastasia Art Mountain bike
May 19 Kylie History Scooter
X + 2/3 = -5/6 solving equations
Answers
Answer: i think 3/3 is the answer to this
whats the perimiter of the following rectangle? The side says x - 2 and the bottom says 2x + 1
Answers
Answer:
6x-2
Step-by-step explanation:
The perimeter of a rectangle is found by
P = 2(l+w)
=2( x-2 + 2x+1)
Combine like terms
P = 2(3x-1)
Distribute
P = 6x-2
8 x 6 = (4 6) + (
x6)
= 24 +
Answers
Answer:
4,24,48
Step-by-step explanation:
For the first equation, they are splitting 8 in half. So 8/2 would be 4. The 4 would go in the first box.
Then 4x6 is 24 in the second box.
Then just add 24 and 24. 24+24=48
And your last answer is 48.
(50 Points) ∠1 and ∠2 are supplementary angles. m∠1 is 4y+7, and m∠2 is 9y+4. Find m∠2.
Answers
∠1 and ∠2 are supplementary angles. m∠1 is 4y+7, and m∠2 is 9y+4. Find m∠2.
Solution:The sum of supplementary angle is 180°
First, solve for the value of y.
∠1 + ∠2 = 180°(4y + 7) + (9y + 4) = 180°13y + 11 = 180°13y = 180° - 1113y = 169/13y = 13°Then, plug and substitute the value y = 13 to find the m∠2.
m∠29y + 49(13) + 4117 + 4121Answer:The angle of m∠2 is 121The measure of angle 2 is 121 degrees.
Given:
[tex]m\angle1=4y+7\\m\angle2=9y+4[/tex]
Recall: Supplementary angles are angles whose sum equals [tex]180^{o}[/tex]
To solve this problem, create an equation to find the value of x:
Thus:
[tex]m\angle1 +m\angle2=180[/tex]
Therefore:
[tex](4y+7)+(9y+4) = 180\\[/tex]
Solve for y:
[tex]4y+7+9y+4 = 180\\\\[/tex]
Add like terms:
[tex]13y+11 = 180\\\\[/tex]
Subtract 11 from both sides
[tex]13y+11 - 11= 180 - 11\\13y = 169[/tex]
Divide both sides by 13
[tex]\frac{13y}{13} = \frac{169}{13} \\y = 13[/tex]
Find the m∠2 by substituting [tex]y = 13[/tex] into [tex]9y +4[/tex]
[tex]m\angle= 9(13)+4\\m\angle = 121^{o}[/tex]
Therefore, m∠2 = 121 degrees.
Learn more about supplementary angles here:
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please someone answer this for me, i need help asap
Answers
Answer:
4/9 cups
Step-by-step explanation:
1 1/3 x 1/3
4/3 x 1/3 = 4/9
Help is due today!!!!!! Which property is used in the following? 2 x (5 + 9) = 2 x 5 + 2 x 9
A. Distributive Property
C. Associative Property
B. Commutative Property
D. None of the above
Answers
Answer:
A. Distributive Property
Step-by-step explanation:
The 2 is being distributed to the 5 and the 9.
Answer:
Distributive Property
Step-by-step explanation:
You are distributing 2➡️(5+9)
The Buffalo bills are offering autographs signings they charge a supply fee of 8.00 and a player fee of 13.25 per autograph you have 50.75 to spend on autographs how many autographs can you buy
Answers
Number of autographs you can buy = 2(21.25)= 42.5
You can buy two autographs and have a change of 8.25
Can someone plz help me plz ??
Answers
Answer:
-5/2, -2.3, sqrt2, sqrt5, 2 1/4, 2.3, 4
what is the answer 2(5c + 8)?
Answers
Answer:
How to solve your problem
2 ( 5 + 8 )
Simplify
Step-by-step explanation:
Distribute
2 ( 5 + 8 )
1 0 + 1 6
solution:
1 0 + 1 6
there you go
hope this helps(8 ^ 4 * 9 ^ 5)/(16 ^ 2 * 27 ^ 3)
help needed plzzzzzz helppppp
Answers
Answer:
answer is 48
Step-by-step explanation:
simplified after exponents.
4,096 x 59,049/ 256 x 19,683
simplified after multipled
241,864,704/5,038,848
= 48
4. Tabatha is dining out at Mandee's and decides to get an order of curly fries.
chicken fingers, and a coca-cola. The total cost of the food with sales tax came to
$18.61. If Tabatha decides to give the cashier a 20% gratuity (tip), what does ber
total bill come to?
Answers
Answer:
$22.33
Step-by-step explanation:
A 20% tip would be 0.20. Multiply the cost by 0.20 to get the tip amount or multiply the cost by 1.20 to get the total amount including tip.
subtotal --> $18.61
tip --> $3.72
18.61 x 0.20 = 3.72
total --> $22.33
if each side of a square classroom is 25 feet then what is the perimeter of the room? what is the area of the floor of the room?
Answers
Answer:
P = 100
Area = 625
Step-by-step explanation:
Area = s^2
sqrt(area) = sqrt(s^2)
area = 25*25
sqrt(25*25) = sqrt(s^2)
s = 25
P = 4*s
P = 4 * 25
P = 100
Area = s^2
s = 25
Area = 25^2
Area = 625
the length of a new rectangular playing field is 9 yards longer than double the width. if the perimeter of the rectangular playing field is 288 yards, what are it's dimensions?
Answers
Answer:
Step-by-step explanation:
Width = w
Length =2w + 9
Perimeter = 288 yards
2*(length + width) = 288
2*(2w + 9 + w) = 288
2*(2w + w +9) = 288 {Combine like terms}
2*(3w + 9 ) = 288
2*3w + 2*9 = 288 {Use distributive property}
6w + 18 = 288 {Subtract 18 from both sides]
6w = 288 - 18
6w = 270 {Divide both sides by 6}
w = 270/6
w = 45 yards
Length = 2*45 + 9 = 90 +9 = 99 yards
Length = 99 yards
Width = 45 yards
1.2p - 2q for p = 3.5 and q = 1.2 = ??
Answers
Answer:
1.8
Step-by-step explanation:
1.2p - 2q
Let p = 3.5 and q = 1.2
1.2 ( 3.5) - 2(1.2)
Multiply
4.2 - 2.4
Subtract
1.8
A scale drawing of a school bus has a scale of 2 inches to 5 feet if the length of the school bus is 16 inches on the scale drawing what is the actual length of the bus
Answers
Answer:
40 feet
Step-by-step explanation:
2/5 = 16/x
2x = 80
x = 40
. If P={1,2,3,5,7} ,Q={1,3,6,10,15}. Then the cardinal number of P∩Q is
a) 1
b) 2
c) 3
d) 4
Answers
Step-by-step explanation:
answer is a）1。。。。。。。…。。。。。。。。。
What is 2+2
akjsdkljjjaaaaanswerjadklss
Answers
Hope this helped lol :)
The vertex form of the equation of a parabola is y = 2(x+ 4)2 - 7.
What is the standard form of the equation?
Answers
Answer:
100%
Step-by-step explanation:
your answer is 4x + 9
A box of candy was divided into three bottles P, Q and R in the ratio 9:4:11. If, instead, the candy had been divided equally between them, there would be 21 fewer pieces of candy in bottle R. How many pieces of candy were there in the box?
Answers
There are a total of 44 candies in the box.
How many pieces of candy were there in the box?The total ratio is 24
Let;
the total number of candies be xthe number of candies in R be11/22 * x = y ---- (1)
If the candies were shared equally
The ratio of candies in R will be 6
6/24 * x = y - 11 --- (2)
substitute y = 11/22 * x in (2)
6x/24 = 11x/22 - 11
x/4 = x/2 - 11
multiply through with 4
x = 2x - 44
x = 44
Therefore, there are a total of 44 candies.
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Jimmy had 1000 doughnuts he gave his mum 500 how much doughnuts does he have left
Answers
Step-by-step explanation:
500 lolzzzz ...........
Answer:
500
Step-by-step explanation:
1000-500=500 Half of 1000 is 500
An art teacher has 1 pounds of red clay
and pound of yellow clay. The teacher
mixes the red clay and yellow clay
together. Each student in the class needs
pound of the clay mixture to finish the
assigned art project for the class. How
many students can get enough clay to
finish the project?
Answers
Answer:
2 students
Step-by-step explanation:
just divided by 2
if f(x) = 3x+7 find f(x+1)
Answers
Answer:
-3
Step-by-step explanation:
3x +7 =f(x+1)
3x +7=x+1
3x-x=-7+1
2x=-6
-3
A number x, rounded to 1 decimal place is 3.7 write down the error interval for x
Answers
Step-by-step explanation:
3.65<x<3.75
plsss mark brainliestt
The two triangular prisms shown are similar
What is the volume of the larger prism
Answers
Answer:
D
Step-by-step explanation:
D
Step-by-step:
Joan got fast food for lunch. Joan paid $2.41 on a salad and $2.15 on a sandwich
with a $10 bill. Joan got a combo deal. What was the change from the purchase?
Answers
Hello :D
To do this you need to add up the cost of the sandwich and salad.
$2.41 + $2.15 = $4.56
$10.00 - $4.56 = $5.44
The answer is $5.44. I hope this helps :)
please help me, it's really important
Answers
Answer:
PUT 130° IN THE BOX.
X=26
SEE IMAGE FOR SOLUTION
if a box of tiles costs R85. 00 calculate the cost of tiles per square metre
Answers
The cost of tiles per square meter is an illustration of unit rates. If the area of the tiles is 17m^2, the cost of tiles per square metre is R5.00 per square metre.
Given that:
[tex]Cost = R85.00[/tex]
The unit cost (i.e. cost of tiles per square metre) is calculated as:
[tex]Unit =\frac{Cost}{Area}[/tex]
Where:
[tex]Cost = R85.00[/tex]
[tex]Area \to[/tex] Area of the tiles
The dimension of a tile is not given. So, I will use an assumed value.
Assume the tile has an area of 17m^2.
So, the unit cost is:
[tex]Unit = \frac{85.00}{17}[/tex]
[tex]Unit = 5[/tex]
Hence, if the area of the tiles is 17m^2, the cost of tiles per square metre is R5.00 per square metre.
Read more about unit rates at:
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need help-asap, will give person brainliest
Answers
Answer:
Step-by-step explanation:
