Answer:
a) 35/40, 36/40
b) 4/8, 6/8, 6/8
Step-by-step explanation:
In order to convert into like fractions, we must find a common denominator for both.
This just means finding the LCM of the existing denominators.
To find the LCM, list the prime factorization of each number, and multiply each factor together the maximum amount of times it appears in one factor.
Then figure out what you need to multiply the existing denominator by to get the common denominator, and multiply that number to the numerator as well.
Note that multiplying a fraction by x/x won't change the value because x/x is equal to 1.
If this sounds confusing- don't worry- it'll become more clear in the work below.
a) 7/8 and 9/10
Start by finding the LCM of 8 and 10
Prime factorization:
8- 2*2*2
10- 2*5
Multiple: 2*2*2*2*5
However, 2 appears in 10 once and 8 three times.
So we can cross out one "2" since the maximum amount of times it appears is three times, not four.
Hence the LCM is 2*2*2*5=40
40 will be the common denominator.
To get to 40 from 8, you need to multiply it by 5.
So we can do:
7/8*5/5=35/40
Repeat with the second fraction.
To get to 40 from 10, you need to multiply it by 4.
So we can do:
9/10*4/4=36/40
36/40>35/40
Therefore, the ascending order would be
35/40, 36/40 or 7/8, 9/10
b) 1/2, 3/4, 6,8
Start by finding the LCM of 2, 4 and 8.
Prime Factorization:
2: 2
4: 2*2
8: 2*2*2
Since 2 appears a maximum of 3 times in one number the LCM is:
2*2*2=8
So our common denominator will be 8.
To get to 8 from 2, you need to multiply it by 4.
1/2*4/4=4/8
To get to 8 from 4, you need to multiply it by 2.
3/4*2/2=6/8
The last fraction is already good.
6/8
Hence, the ascending order would be:
4/8, 6/8, 6/8 or 1/2, 3/4, 6/8
Hope that helps! Let me know if you have any questions :)
Which pieces of information can be gathered from these box plots?
Answer:
A & C
Step-by-step explanation:
Use Euclid’s Ladder (or a factor tree) to write the prime factorization.
1. 64
2. 100
3. 54
Answer:
64
Step-by-step explanation:
the answer is 64 hope this helps
A polynomial has one root that equals 2 + i. Name one other root of this
polynomial.
Answer:
sorry
Step-by-step explanation:
polynomial is not given
question is incomplete
comeplete using distributive property (x+2x+3x)(x+4)
Answer:
6x^2 + 24x
Step-by-step explanation:
A vehicle is travelling from rest. After 10 seconds its velocity will be 20ms find acceleration?
Initial velocity (u) = 0m/s
Final velocity (v) = 20m/s
Time (t) = 10 s
Acceleration (a)
= (v - u)/t
= [(20m/s) - (0m/s)]/10s
= (20m/s)/10s
= (20m/s²)/10
=> 2m/s²
PLS HELP ME ON THIS QUESTION I WILL MRK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Which of the following measures is a measure of spread?
A. median
B. range
C. mode
D. mean
Answer:
range
Step-by-step explanation:
Answer:
B. range.
Step-by-step explanation:
others are:
» Standard variation.
» Interquatile range.
» Quatiles, deciles and percentiles.
» variance.
[tex]{ \underline{ \blue{ \sf{christ \: † \: alone}}}}[/tex]
round to the nearest underlined place 18 904 A. 18,000 B. 19,000 C. 20,000 D. 18,920
Answer:
B 19,000
Step-by-step explanation:
;------------------------;
The average price for a new car is $30,000. Each year, the value of that car decreases by 15%.
Explain the meaning of the y-intercept, appropriate domain and range, and whether the function is increasing or decreasing.
Answer:
y int: The starting value. Domain: All Real Numbers. Range: y<=30,000. The Function is decreasing
Step-by-step explanation:
The y int. is the starting value because it is the point where no years have started yet on the x axis so that means that the value of the car will be as if you had just bought it. The domain is all real numbers because the number of years you could have the car could be infinate. The range is the y axis part meaning that it could be any number starting from 30,000 and decreasing because the car value is constantly decreasing. And due to the fact that the price is going down every year by 15%, the function is decreasing.
3/2x + 7/2 = 2x what is the solution to the equation
Answer:
x=7
Step-by-step explanation:
3/2x + 7/2 = 2x
Subtract 3/2x from each side
3/2x -3/2x + 7/2 = 2x-3/2x
7/2 = 2x -3/2x
Get a common denominator
7/2 = 4/2x - 3/2x
7/2 = 1/2 x
Multiply each side by 2
7/2 *2 = 1/2x*2
7 =x
Answer:
x=7
Step-by-step explanation:
im smart
Which one of the following equations is equivalent to 3x - 12 = -9 ?
A= 2x = 4
B= x - 5 = -6
C= x + 3 = x - 1
D= 7x - 3 = 4
Step-by-step explanation:
, it's was helpful to you
[tex]3x - 12 = - 9 \\ x - 4 = - 3 \\ x = - 3 + 4 \\ x = 1 \\ \\ 2x = 4 \\ x = \frac{4}{2} \\ x = 2 \\ \\ x - 5 = - 6 \\ x = - 6 + 5 \\ x = - 1 \\ \\ x + 3 = x - 1 \\ x - x = - 1 - 3 \\ x = - 1 - 3 \\ x = - 4 \\ \\ 7x - 3 = 4 \\ 7x = 4 + 3 \\ 7x = x \\ x = \frac{7}{7} \\ x = 1[/tex]
If I start a road trip with 10,425 miles on my auto meter and I end it with 23,840 miles showing how many miles was my trip
Answer:
13,415 miles
Step-by-step explanation:
Final position - initial position = Miles traveled:
23,840 miles - 10,425 miles = 13,415 miles
The water level in a plastic pool changed
by −8 gallons each hour due to a small
hole in the bottom. After 6 hours, the pool
contained 132 gallons. How much water
was in the pool originally?
Answer: 180 gallons
Step-by-step explanation:
If you take 8 times 6 you get 48, now take 132 plus 48 and you get 180.(hope this helped):)
Can you please answer this answer with a step by step explanation?
the BEST answer gets the BRAINLIEST answer mark!
Answer:
Step-by-step explanation:
If K is square number, then exponents in number N are even.
3 angles
triangle
in
ratio 1:3:3
3:.
Find the angles
Answer:
1st angle = 30
2nd angle = 60
3rd angle = 90
Step-by-step explanation:
let ,1st angle be x , 2nd angle be 2x and 3rd angle be 3xx+2x +3x =1806X =180x =180/6x =3011.49 for 3 packages
Answer:
Individual package would be 3.83
Hope this helps <3 Comment if you want more thanks and be sure to give brainliest (4 left) <3
Use graphing technology to find the range of the function f(x)=|x-3|
Answer:
[0,infinity)
Step-by-step explanation:
Since it's a modulus function, f(x) will have a range of [0,infinity). Use desmos for graphing it
You are looking at your power bill for the month, you pay 15 cents per kilowatt-hour. Your power bill came out to $70.74 how many KWH of energy were used in your house this month?
The number of kilowatt-hours used KWH is 471.6 KWH.
Since the power bill for the month says you pay 15 cents per kilowatt-hour, this is the rate of the bill. We convert this a a dollar rate.
So, 15 cents per kilowatt-hour = 15 cents × $ 1/100 cents per kilowatt-hour (since $ 1 = 100 cents)
= 15 cents/100 × $ 1/100 cents per kilowatt-hour
= 0.15 × $ 1/100 cents per kilowatt-hour
= $ 0.15 cents per kilowatt-hour.
Since the power bill came out to be $ 70.74, we need to find the number of kilowatt-hours used KWH.
The total amount on bill = rate of bill × number of kilowatt-hours used.
So, number of kilowatt-hours used = total amount on bill/rate of bill
Total amount on bill = $ 70.74 and rate of bill = $ 0.15 cents per kilowatt-hour.
So, number of kilowatt-hours used = total amount on bill/rate of bill
number of kilowatt-hours used = $ 70.74 /$ 0.15 cents per kilowatt-hour.
number of kilowatt-hours used = 471.6 KWH
So, number of kilowatt-hours used KWH is 471.6 KWH.
Learn more about power bill here:
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HELP!!!!!!!!!!!!!!!!
Answer:
14...
area = 1/2 b h
b= 7-0 = 7 ... 7/2 = 3.5
h = 7-3 = 4
3.5 * 4 = 14
Step-by-step explanation:
This is Solving Linear Equations.
Answer:
x=12
Step-by-step explanation:
you have to group the like terms in order to solve this equation, this will result to;
5/2x-3/4x=14+7
1.75x/1.75=21/1.75
x=12
I hope this helps
Required solution :
The given equation is,
(5 / 2)x - 7 = (3 / 4)x + 14⇒ 5x - 14 / 2 = (3 / 4)x + 14
Transposing 14 from R.H.S. to L.H.S.,
⇒ (5x - 14 / 2) - 14 = (3/4)x
⇒ 5x - 14 - 28 / 2 = 3x / 4
⇒ 5x - 42 / 2 = 3x / 4
⇒ 4 (5x - 42) / 2 = 3x
⇒ 4 × (5x - 42) / 2 = 3x
⇒ 2 (5x - 42) = 3x
⇒ 10x - 84 = 3x
⇒ 10x - 3x = 84
⇒ 7x = 84
⇒ x = 84 / 7
⇒ x = 12
Therefore, option d that is 12 is correct.
3) Suppose Sandra makes credit card purchase for $4,000 that compounds interest daily. The APR is 3%. How much interest is earned on Sandra’s card after 1 year if Sandra makes no payments? (Use the formula below for help).
A=P(1+r/n)nt
Answer:
$121.81
Step-by-step explanation:
A= 4000(1+.03/365)^365
[tex]4000\left(1+\frac{0.03}{365}\right)^{365}=4121.81305\dots[/tex]
Total interest earned on Sandra’s card after 1 year is $4,121.81
What is compound interest?Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.
A=P(1+r/n[tex])^{nt}[/tex]
Where:
A = the future value of the investment or loan
P = the principal investment or loan amount
r = the interest rate (decimal)
n = the number of compound periods
Given,
A=P(1+r/n[tex])^{nt}[/tex]
Sandra makes a credit card purchase for $4,000 that compounds interest daily.
P = $4,000
r =3%
t = 1 year
A=P(1+r/n[tex])^{nt}[/tex]
Substitute the values of P, r and t in the formula,
First, convert R as a percent to r as a decimal
r = R/100
r = 3/100
r = 0.03 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 4,000.00(1 + 0.03/365)(365)(1)
A = 4,000.00(1 + 8.2191780821918E-5)(365)
A = $4,121.81
Therefore, total interest earned on Sandra’s card after 1 year is $4,121.81.
To learn more about the compound interest rate;
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PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
A construction company buys a certain number of boxes of nails depending on how many houses they plan to build in a year. They have 5 boxes left over from the previous year and predict that this year they will need 3 boxes per house. Write an equation where y represents the number of boxes they need to purchase and x the number of houses they plan to build.
A. y=5x−3
B. y=3x+5
C. y=5x+3
D. y=3x−5
Answer:
I'm not so sure but i guess it's option D y=5x-3
the question said that the number of box of nails are purchased depending on how many houses they planned to build. so for knowing the boxes of nails they need to purchase they need to subtract the boxes which were left and the boxes we need now
Question 2 Evaluate the expression 2(x - 3) + 3y when x = 5 and y = 3. Mark the correct answer.
A. 13
B. 15
C. 16
D. 25
Answer:
A. 13
Step-by-step explanation:
2(x - 3) + 3y
2(5 - 3) + 3×3
2× 2 + 3×3
4 + 9
13
Answer:
The correct answer is A
Step-by-step explanation:
2(x-3) + 3y so you replace them and get 2( 5 - 3) +3(3)
next,
you would solve it
2 x 5 and 2 x 3 you get 10-6 + 9, the 9 is from multiplying 3 by 3
finally you solve it
10-6 = 4 +9
= 13!
The circumference of a circular garden is 106.76 feet. What is the radius of the garden? Use 3.14 for π and do not round your answer.
Answer:
Step-by-step explanation:
The circumference formula is
C = 2πr. If we are solving the for the radius, and we are using 3.14 for π, we can fill in accordingly:
106.76 = 2(3.14)r and
[tex]\frac{106.76}{2(3.14)}=r[/tex] so
r = 17
express y=2x²+9x+4 in the form a(x+b)²+c . where a ,b,c are constant
Answer:
2(x+9)^2 + 4
Step-by-step explanation:
.............
What is the value of the expression below when z=6
z²+3z-3
Answer:
51 I hope it will help you
Step-by-step explanation:
mark me as a brainlist answer
Answer:
51
Step-by-step explanation:
Plug in z
(6)^2 + 3(6) - 3
36+18-3
54-3= 51
solve for x: 3x²-243
3x²–243=0 —> 3 (x²–81) = 0 —>
x²–81=0 —> (x-9)(x+9)=0
x-9=0 —> x=9
x+9=0 —> x=–9
I hope I helped you^_^
3 times the sum of a number and 4 is 20
Answer:
as per the statement we form an algebraic equation as
3(x+4) = 20
3x + 12 = 20
3x = 8
x = 8/3
as per my understanding that's the answer
term 1 is -3, term five is 5. find the tenth term?
Answer:
t(10) = 15
Step-by-step explanation:
5 - (-3)/ 5 - 1
= 2
t(n) = t1 + (n - 1)(d)
t(10) = -3 + (10 - 1)(2)
t(10) = -3 + (9)(2)
t(10) = -3 + 18
t(10) = 15
If the function f is given by f(x)= 4x -3, find the value of f(2+h)
[tex]\\ \sf\longmapsto f(2+h)[/tex]
[tex]\\ \sf\longmapsto 4(2+h)-3[/tex]
[tex]\\ \sf\longmapsto 4h+8-3[/tex]
[tex]\\ \sf\longmapsto 4h+5[/tex]
2.(08.01 MC)
Find the volume of a cylinder with a diameter of 8 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to the nearest hundredth. (Hint:
You may only enter numerals, decimal points, and negative signs in the answer blank)
Answer:
Step-by-step explanation:
Start by finding the radius
d = 8
r = d/2
r = 8/2
r = 4
Next find the height
the height = 3 times the radius
the height = 3 * 4
The height = 12
Volume = pi * r*r * h
pi = 3.14
r = 4
h = 12
V = 3.14 * 4 * 4 * 12
V = 602.88
