Answer:
5/48Step-by-step explanation:
1/8 x 5/6 as a fraction in simplest form
1/8 * 5/6 =
5/48
The fraction in simplest form is 5/48.
Given that are two fractions 1/8 and 5/6, we need to find the product of the fractions,
To multiply fractions, we multiply the numerators together and the denominators together.
In this case, we have 1/8 multiplied by 5/6.
1/8 x 5/6 = (1 x 5) / (8 x 6)
Multiplying the numerators (1 x 5) gives us 5, and multiplying the denominators (8 x 6) gives us 48.
Therefore, 1/8 x 5/6 simplifies to 5/48.
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Multi-Step:
Leigh wants to buy a bike for $429 and a helmet for
$38. If she saves $8 a week, about how many weeks will it take her
to save the money to buy the bike and helmet?
330
Answer:
roughly 58
Step-by-step explanation:
the price of the bike added to the price of the helmet is 467 dollars, and you divide it by the 8 dollars a week to get roughly 59 weeks, which it should all look like this:
429+38=467
467÷8=58.375 (round up)
Answer:
about 59 weeks
Step-by-step explanation:
Find the 8th term of the G.P 9,3,1,
Answer:
a=9 , d=6 n=8
a+(n-1)d = an
9+(8-1)6 = an
9+7×6 = an
9+42 = an
51 = an
Find the measures of angles 1 and 2.
Answer:
angle one:100 degrees
angle two:70 degrees
Step-by-step explanation: so angle two and the angle with 70 degrees are alternate angles, so they would be the same. at this point if you subtracted 70 from 180 because angle b is 180 degrees, you would get 110, so then you would have three angles, and it wouldn't be too hard to find the fourth, which is 100 degrees.
Will give brainliest!
ABC and DEF are similar triangles. If the side lengths of ABC are 6, 8, and 12, and the
longest side of DEF is 18, then what are its other side lengths?
9 and 14
9 and 12
14 and 16
24 and 36
Applying the properties of similar triangles, the other side lengths of ΔDEF are: B. 9 and 12
Properties of Similar Triangles:
The ratio of the corresponding sides two triangles that are similar to each other are the same/equal.Given that ΔABC and ΔDEF are similar triangles, therefore:
Let, a = 6, b = 8, and c = 12 be the sides of ΔABC.Let, x, y, and z be the sides of ΔDEF.Let z = 18Thus:
a/x = b/y = c/z
Substitute6/x = 8/y = 12/18
Find x using 6/x = 12/18:
6/x = 12/18
Cross multiplyx = [tex]\frac{18 \times 6}{12}[/tex]
x = 9
Find x using 8/y = 12/18:
8/y = 12/18
Cross multiplyx = [tex]\frac{18 \times 8}{12}[/tex]
x = 12
Therefore, applying the properties of similar triangles, the other side lengths of ΔDEF are: B. 9 and 12
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A tank pumps out liquid at a rate of 12 gallons every 20 days. What is the unit rate in gallons per week?
Answer:
4.2
Step-by-step explanation:
simplify 12 and 20 to 6 and 10 then divide 6 by 10 and multiply by 7 to get the answer.
The unit rate or rate of change of gallons per week will be 4.2 gallons/week.
What is the rate of change?The rate of change is the change of a quantity over 1 unit of another quantity.
Most of the time the rate of change is the change with respect to time.
For example the speed 3meter/second.
As per the given,
12 gallons in every 20 days,
The unit rate per day will be as,
12/20 = 0.6 gallons per day
It is known that, 1 week = 7 days,
Unit rate per week = 0.6 x 7 = 4.2 gallons/week
Hence "The unit rate, often known as the rate of change, will be 4.2 gallons per week".
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i need help! ill give brainliest
Answer:
They are both correct
Step-by-step explanation:
Both options mean the same thing and will give the same answer
14. Find m
(9x + 2)
(15x -52)
Step-by-step explanation:
triangle BCD ~ triangle EFD so
angle BCD= angle EFD
9x+2=15x-52
6x=54
x=9
angle CBF =9x+2=83°
In the triangle ΔCBD, the angle measure of ∠CBF is 83°.
What are similar triangles?When the triangles have equal shape, but different sizes. It is called as similar triangles. The corresponding angles are congruent. And the sizes have the same proportionality rate.
Given:
The angle measures,
∠CBD = (9x + 2)°
∠EFD = (15x -52)°
From the diagram,
ΔCBD is similar to ΔEFD.
So, the corresponding angles are equal.
∠CBD = ∠EFD
(9x + 2)° = (15x -52)°
15x - 9x = 52 + 2
6x = 54
x = 9°
And ∠CBF = ∠CBD
So, ∠CBF = (9x + 2)°
Substituting the value of x,
∠CBF = (9(9) + 2)°
∠CBF = 83°
Therefore, the angle measure of ∠CBF is 83°.
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Write an equation for the n term of the arithmetic sequence -1, 4, 9, 14, . Then find a50
Step-by-step explanation:
The sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
From the question
a = - 1
To find the common difference subtract the previous term from the next term
We have
d = 4 --1 = 4 + 1 = 5 or 9 - 4 = 5
Therefore d = 5
Substitute the values into the general formula
That's
[tex]A(n) = - 1 + (n - 1)(5) \\ = - 1 + 5n - 5 \\ = 5n - 6 \: \: \: \: \: \: \: \: \: \: \: [/tex]
To find A(50) substitute the value of n that's 50 into the formula above
[tex]A(50) = 5(50) - 6 \\ \: \: \: \: \: \: \: \: \: = 250 - 6 \\ \: = 244[/tex]
Hope this helps you
Step-by-step explanation:
The sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)dwhere a is the first term
n is the number of terms
d is the common difference
From the question
a = - 1To find the common difference subtract the previous term from the next term
d = 4 --1 = 4 + 1 = 5 or 9 - 4 = 5Therefore d = 5
Substitute the values into the general formula
That's
[tex]A(n)=−1+(n−1)(5) \\ \: \: \: \: \: \: \: \: =−1+5n−5 \\ =5n−6[/tex]
To find A(50) substitute the value of n that's 50 into the formula above
[tex]A(50)=5(50)−6 \\ \: \: \: \: \: \: \: \: =250−6 \\ \: \: =244[/tex]
How do you do order of operations step by step?.
Answer:
"Please excuse my dear Aunt Sally or PEMDAS"
____________________________________________________________
Please stands for Parentheses, so we solve everything inside of the parentheses first.
Then, Excuse which is for “Exponents.” We answer that after we answer everything in parentheses.
Multiplication, which is the My, and this happens from left to right.
And then division, which is the “Dear,” which also happens left to right.
And then we have addition and subtraction, which also happens from left to right, and this is “Aunt” and “Sally.”
Grace rides her bike 21 km in 1 1/6 hours. What is her average speed in kilometers per hour?
Find the percentage change of the first quantity with reference to the second quantity: 72 units, 60 units.
Answer:
Step-by-step explanation:
120 percent,
because if you divide by 6, you will get 10:12 and if you make the 10 a 100, you multiply both by 10, so 12 x 10 = 120 which means it is 20 percent because you have to subtract 100 from the quantity. so it is 20 percent
*Or 120 percent, I dont know though*
C+3/8=1 1/3
(3/8 Is a fraction, and so is 1/ 13)
(Solve for C)
Answer:
see below
Step-by-step explanation:
c+9/24=32/24 so c=23/24
Answer:
C = 23/24
Step-by-step explanation:
Step 1: Convert 1 1/3 to an improper fraction.
[tex]C + \frac{3}{8} = 1 \frac{1}{3}[/tex] [tex]C + \frac{3}{8} = \frac{4}{3}[/tex]Step 2: Change the denominator of 3/8 and 4/3 to a common denominator: 24.
[tex]C + \frac{9}{24} = \frac{32}{24}[/tex]Step 3: Subtract 9/24 from both sides.
[tex]C + \frac{9}{24}-\frac{9}{24}=\frac{32}{24} - \frac{9}{24}[/tex] [tex]C = \frac{23}{24}[/tex]Therefore, C = 23/24.
Hong paid $12.53 for a 7.03-kg bag of dog food. A few weeks later, he paid $14.64 for a 7.98-kg bag at a different store.
Find the unit price for each bag. Then state which bag is the better buy based on the unit price.
Round your answers to the nearest cent.
Answer: First bag unit price: 1.78
second bag unit price : 1.83
Step-by-step explanation:
divide the price by the weight. First bag is better
More reviewing purposes
Answer:
143
Step-by-step explanation:
BEDMAS = brackets, exponents, division, multiplication, substraction, addition.
you need to first do the exponents, then the multiplication, then the addition
exponents = 7² = 49
4 x 9 + 2 x7² + 9 = 4 x 9 + 2 x 49 + 9
multiplication = 4x9 = 36
36 + 98 + 9
addition = 36 + 98 = 134 and 134 + 9 = 143
you need to use the BEDMAS (order of opperation) to find the answer, it simplifies the answer and you can do it step by step. I bolded what you needed to use in this question, but you should use all of the ones that you can whenever you can.
good luck. :)
A quality-control inspector examined 260 calculators and found 11 of them to be defective. At this rate, how many defective calculators will be in a batch of 5,200 calculators?
Answer:I got 220
Step-by-step explanation:
5200/260=20
20*11=220
Taryn is measuring ribbon to make decorations for a fall party. She needs
32 feet of ribbon. She has 12 &
1/3 feet of ribbon.
How many more feet of
ribbon does she need?
Answer:
19 2/3
Step-by-step explanation:
32 ft minus 12 and 1/3 ft is 19 and 2/3 ft.
Why rectangular coordinates are better than polar.
Answer:
Rectangular coordinates, or cartesian coordinates, come in the form (x,y).. Polar coordinates, on the other hand, come in the form (r,θ). Instead of moving out from the origin using horizontal and vertical lines, we instead pick the angle θ, which is the direction, and then move out from the origin a certain distance r.
A sunflower grows to be 200cm tall. After four weeks, it was 30% of this height. How tall
was the sunflower after four weeks?
Answer:
60cm
Step-by-step explanation:
200*3/10=20*3=60
Please help ( WILL MARK BRAINLIEST)
Answer:
The bottom right
*you won't see it yourself that the answer is correct because you are working on and iReady test friend*
Step-by-step explanation:
If you map out the shape in your head and slowly fold up the flaps, then you get a rectanglular prism.
I hate math sm I can’t understand any of this even though its probably so simply
Solve this equation by elimination method...
2x+7y=-17
3x+10y=-24
Please show work
I will give Brainliest :)
Answer:
x=2,y=-3
Step-by-step explanation:
detailed explanation showed in the image above
-14 + -8/9 is equivalent to?
16 x [tex]\frac{1}{8}[/tex]
Answer:
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Mary's allowance is based on the amount of time that she spends practicing different activities each week. This week Mary spent 12 hours practicing and earned $12.00.
Part A: Mary's time spent on activities is as follows: 1/5 practicing flute, 1/6 practicing Spanish, 1/2 playing soccer, and 2/15 practicing math. Write an equivalent decimal for the amount of time that she spent on each activity. If necessary, round to the nearest hundredth.
Answer:
Math: 1h 36 min
Flute: 2h 24 min
Soccer: 6h
Spanish: 2h
PLS SOLVE WITH EXPLANATION
-4(v + 1) = 2v-2 +2(3v + 2)
Make sure you simplify it as much as you can!
Answer:
v = -1/2
Step-by-step explanation:
-4(v+1) = 2v - 2 + 2(3v + 2)
-4v - 4 = 2v - 2 + 6v + 4
-4v - 4 = 8v + 2
-4 = 12v + 2
-6 = 12v
-6/12 = v
v = -1/2
whats the GCF of 77 and 55
Answer:
GCF= 11
Step-by-step explanation:
2. Which statement is true? (1 point)
O All quadrilaterals are rectangles.
O All quadrilaterals are squares.
O All rectangles are quadrilaterals.
O All quadrilaterals are parallelograms.
Answer:
the third one
Step-by-step explanation:
all rectangles have 4 sides therefore a quadrilateral
Answer:
3
Step-by-step explanation:
Rectangles require 4 sides and 90 degree corners, a quadrilateral requires 4 sides. So rectangles fulfill the quadrilateral's condition, but quadrilaterals can't always fulfill other forms' condition.
A Girl have 15 apples but she gave her friend 5 apples and ate 1 how many apples are left and show your work
Answer:
She has 9 left
Step-by-step explanation:
15 - 6 = 9
Hope this helps! Brainliest would be appreciated!
△RQP≅△ONM. Find the value of x. ( I WILL GIVE BRAINLIEST! PLS HELP!)
refer to attachment
Answer:
x = 25Step-by-step explanation:
According to picture, PQ and MN are corresponding sides of congruent triangles.
PQ = MN70 = 3x - 53x = 70 + 53x = 75x = 25Help me out! Find the value of x angle theorems part 3 triangle
Answer:
x = 3
Step-by-step explanation:
The triangles are similar.
x + 9 is twice 2x.
x + 9 = 2(2x)
x + 9 = 4x
9 = 3x
x = 3