Lucy has a bag of marbles. She shares one third of them with Carol, keeping one quarter for herself. Amrita joins them, so Lucy gives the rest of the marbles to her. If Carol has seven more marbles than Lucy, how many does Amrita have?
PLEASE TELL HOW YOU GOT THE ANSWER!!
Answer:
Step-by-step explanation:
Let L = Lucy, C = Carol and A = Arita , x = Total amount of marbles
Lucy shares 1/3 with Carol and keeps 1/4 for herself.
This means that Carol has 1/3 of the total amount of marbles, Lucy has 1/4 of the total amount of marbles.
C = 1/3x
L = 1/4x
We are also told that Carol has 7 more marbles than Lucy
C = L + 7
Since C = 1/3x and L = 1/4x you can sub these into the above equation and you get:
1/3x = 1/4x + 7
Subtract 1/4x from both sides
1/3x - 1/4x = 7
1/12x = 7
Multiply both sides by 12 to find x.
x = 7 times 12 = 84 (Total amount of marbles = 84)
Amrita gets the remaining number of marbles.
A = x - C - L
A = 84 - 1/3 (84) - 1/4 (84)
A = 35
pressions: Practice
Question 1 of 5
Select the correct answer.
Which expression is equivalent to the given expression?
3(x – 7) + 4(x2 – 2x + 9)
Answer: 14
Step-by-step explanation: Factoring x2-2x+9
The first term is, x2 its coefficient is 1 .
The middle term is, -2x its coefficient is -2 .
The last term, "the constant", is +9
Step-1 : Multiply the coefficient of the first term by the constant 1 • 9 = 9
Step-2 : Find two factors of 9 whose sum equals the coefficient of the middle term, which is -2 .
The first term is, 4x2 its coefficient is 4 .
The middle term is, -5x its coefficient is -5 .
The last term, "the constant", is +15
Step-1 : Multiply the coefficient of the first term by the constant 4 • 15 = 60
Step-2 : Find two factors of 60 whose sum equals the coefficient of the middle term, which is -5 .
-60 + -1 = -61
-30 + -2 = -32
-20 + -3 = -23
-15 + -4 = -19
-12 + -5 = -17
-10 + -6 = -16
For tidiness, printing of 18 lines which failed to find two such factors, was suppressed
4x2 - 5x + 15= x=14
Two maps are made of a park. The scale from the park to map A is 30 mi to 6 cm. The length of Great Oaks Trail is 4.5 cm on map A. The scale from the same park to map B is 24 mi to 3 cm. The length of Salamander Trail is 3.5 cm on map B. 1. What is the actual length (in miles) of Salamander Trail?
Answer:
The actual length of Salamander Trail is 28 miles
Step-by-step explanation:
Here, we want to calculate the actual length of salamander trail.
From the question, we are told that a a distance of 3cm on the map B is 24 miles in the park
So now, we have length of 3.5 cm and we want to calculate what is the actual length in miles
From the question on map B;
3 cm = 24 miles
so
3.5 cm = x miles
x * 3 = 24 * 3.5
x = (24 * 3.5)/3
x = 8 * 3.5 = 28 miles
a single digit times a power of 10 to estimate the number 0.00007216
Katie wants to buy a bracelet. She only has $30 to spend. She has found a bracelet with a regular price of $45 and a discount of 35%. If the sales tax is 7%, will she have enough to buy the bracelet? If so, how much money will Katie have left? If not, how much more money will she need?
Given :
Money Katie has, M = $30.
She has found a bracelet with a regular price of $45 and a discount of 35%.
The sales tax is 7%.
To Find :
Will she have enough to buy the bracelet.
Solution :
Original price = $45 .
Price after discount = $( 45 - 45×0.35) = $29.25 .
Selling Price = $( 29.25 + 29.25×0.07 ) = $31.2975 .
Since, selling price is greater than $30.
Money needed = $( 31.2975 - 30 ) = $1.2975 .
Therefore, Katie will not buy the bracelet.
Sonji paid $25 for two scarves, which were different prices. When she got home she could not find the receipt. She remembered that one scarf cost $3 more than the other. What was the price of the more expensive scarf?What is the best approximation for the input value when f(x)=g(x)?
Answer:
11$
Step-by-step explanation:
big brain
Answer:
11 just took the test
Step-by-step explanation:
What is the reciprocal of -3 2/7
Answer:
7/23
Step-by-step explanation:
First you make it an improper fraction, which gets you 23/7. Then to find the reciprocal, you simply flip it over. Therefore you get 7/23.
There you go! Have a nice day. Mark brainliest if possible please ;)
What is the least common denominator of 1/14, 3/16, 2/15
the least common multiple of 14, 15, amd 16 is 1680
Diana is buying plates and cups for a party. She wants the same number of each. Plates are sold in packs of eight and cups are sold in packs of 12. What is the least number of plates and cups she can buy? How many packs of plates? How many packs of cups? Explain how you know.
Answer:
The least number of plates and cups she can buy is 24
She will buy 3 packs of plates
She will buy 2 packs of cup
Step-by-step explanation:
Plates = 8 per pack
Cups = 12 per pack
Find the Lowest common multiple of 8 and 12
8 = 16, 24, 32, 40, 48, 56, 64, 72, 80
12 = 24, 36, 48, 60, 72
What is the least number of plates and cups she can buy?
The Lowest common multiple of 8 and 12 is 24
The least number of plates and cups she can buy is 24
How many packs of plates?
Packs of plates = 24 plates / 8 per pack
= 3 packs
She will buy 3 packs of plates
How many packs of cups?
Packs of cups = 24 / 12 per pack
= 2 packs
She will buy 2 packs of cup
NASCAR driver Jimmy Johnson completed 200 laps as he crossed the finish line. From the start of the race to the finish line, is a description of his _________________.
A. displacement
B. speed
C. velocity
D. Distance
Answer:
B!!
Step-by-step explanation:
think its B im not sure
Ashley is preparing for a horse riding competition. She has trained her horse for 6 hours and has completed 240 rounds. At what rate has Ashley ridden her horse in rounds per hour?
Answer:
40
Step-by-step explanation:
Suppose scores on exams in statistics are normally distributed with an unknown population mean. A sample of 26 scores is given below. Use Excel to find a 90% confidence interval for the true mean of statistics exam scores. Round your answers to one decimal place and use increasing order.
Answer:
Step-by-step explanation:
Using the formula for calculating confidence interval
CI = xbar±z×S/√n
xbar is the mean of the sample
z is the z score at 90% = 1.645
S is the standard deviation of the score
n is the sample size = 26
Since we are not given the scores, we can assume the values of our mean and standard Deviation
Let xbar = 38
S = 3.0
Substitute the given values into the formula
CI = 38±(1.645×3.0/√26)
CI = 38±(1.645×3.0/5.099)
CI = 38±(1.645×0.5884)
CI = 38±0.9678
CI = (38-0.9678, 38+0.9678)
CI = (38.0322, 38.9678)
CI = (38.0, 38.9)
Hence the 90% confidence interval for the true mean of statistics exam scores is 38.0≤p≤38.9
Note that the we will need to generate the mean and standard deviation from the data but since we are not given the required data, we had to assume the value we used in calculation.
Help ASAP please please plsssssssssssss
Answer: 11 1/3 (eleven and one third)
Step-by-step explanation:
Denise buys a $100,000 condo using a $20,000
down payment on a 30-year fixed-rate loan.
After 5 years of payments, she's made
approximately $24,000 in payments and still
owes approximately $75,000. How much
equity does Denise have in her house? *
how long will it take you to drive 135 miles at a speed of 45 miles per hour?
Answer:
3 hours
Step-by-step explanation:
divide 135 by 45 to get your answer
√12
A. 2√5
B. 2√3
Which one?
Answer:
B. [tex]2\sqrt{3}[/tex]
Hope this helps!
Answer:
B.2√3
Explanation:
√2^2×√3
√2^2√3
2√3
Graph a line that passes through the point (- 7,- 4 ) and have pending -2/3
Answer:
I think you are right!
Step-by-step explanation:
Chips are $1.49 a bag. They are 27% off. What is the new price?
A. $1.09
B. $3.20
C. $87.25
Answer:
A
Step-by-step explanation:
you do 1.49 x 0.79 to find the remaining amount after the discount and it is 1.09
in January Mr Timms class read 20 books in February his class read 15 books
what is the percent increase or decrease in the number of books they read
Answer:
5?
Step-by-step explanation:
if abc is an isosceles triangle and m∠A=40º,what are possible measures for angles B and C
Answer:
They could both be 70
Step-by-step explanation:
The reason why is because if you subtract 40 from 180 you get 140 and that can be evenly split in 2 ways by 70.
An isosceles triangle is one with two equal-length sides. The possible measures for ∠B and ∠C are 70°.
What is an isosceles triangle?An isosceles triangle is one with two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case.
Since in an isosceles triangle the measure of any two angles is equal to each other. Therefore, assuming that ∠B and ∠C are those equal angles.
Now, given that the measure of ∠A is 40°. Therefore, the sum of the measure of all the angles of the triangle can be written as,
∠A + ∠B + ∠C = 180°
40° + ∠B + ∠C = 180°
40° + ∠B + ∠B = 180°
2 ∠B = 180° - 40°
2 ∠B = 140°
∠B = 140°/2
∠B = 70°
∠B = ∠C = 70°
Hence, the possible measures for ∠B and ∠C are 70°.
Learn more about Isosceles Triangle here:
https://brainly.com/question/2456591
#SPJ2
Is 25 x 10 to the power of 0 in scientific notation? If not, explain. Use pencil and paper. Explain why 10 is used as the base in the second scientific notation factor.
Answer:
a) Scientific notation is written as a unit digit, that can have other digits after the decimal place, multiplied by 10 to the power of n, where n can be any integer number.
Then 25x10^0 is not scientific notation, because there are two digits at the left of the decimal point.
The scientific notation would be:
2.5x10^1
b) Why is this useful?
Because we divide all our measures in powers of 10.
For example, you know that 1 meter = 100c
But we can also write this as:
1m = 1.0*10^3 cm.
The use of scientific notation comes useful because we can have a fast read of the dimensions of our measure, and in another hand, is way easier work with the 10 as a base when we solve equations.
ASAP HELP ASAP HELPPPP
Answer:
3 or 2 is the answer to the question
PLEASE HELP PLEASe IT'S ONLY ONE QUESTION AND ITS SHORT
Answer:
Yes.
Step-by-step explanation:
It passes the line test.
(Random question)
Guys I have 2 doubts
1.If anything is possible, is it possible for anything to be impossible?
2. If you enjoy wasting time, is that time really wasted?
Can you answer it??
Only answer if you can answer it
(well it says tht these two are unanswerable questions)
Step-by-step explanation:
to be honest in my opinion
1.)the impossible makes things possible nothing is possible untill it goes through impossible (simply implying the impossible makes things possible)e.g when you undergo anything hard you learn to not give up making that thing possible in the end
2.)one should not enjoy wasting but should enjoy making and building up time for fun and important things in life like hanging out with your family and friends that's a result of making time for enjoyment instead of wasting it lol
Yuuki kun hopes he was helpful^^
Answer:
if anything was possible that it WOULD be possible for the unpossible to be possible just confused myself
Step-by-step explanation:
The result of a survey show that out of 160 people, 100 of them recycle on a regular basis. Based on this survey, what percent of people recycle regularly?
Answer:
47% is the correct answer
GEOMETRY/EASY PROBABILITY, urgent!
Answer:
2/7, 3/7
Step-by-step explanation:
Total outcomes=7
No. 6 outcomes=2
P(E)= Favourable outcomes/total outcomes
=2/7
Total even no.= 3
∴ P(E)= 3/7
Mark me as brainliest
why doesn’t 0^1 equal 0 but 1^1 equals 1 and 1^0 . can you explain why?
Answer:
because 0^1 equals 1
Step-by-step explanation:
in most cases anything to the power of 0 would equal one so that means that 0 to the power 1 would equal one.. I think
Explain why a+b=d because I don’t understand
Answer:
a and b connect to d in the slope
Step-by-step explanation:
Answer:
Aight mate
Step-by-step explanation:
So every triangles angles will add up to 180 degrees no matter the triangle. Now a circle is 360 and a line is 180. Look at the line that A and C are on this line equals 180. So angle c and d added together make 180 and angles a b and c added together make 180. so if a+b+c = c+d then a+b=c. I hope thaqtmakes sense.
I NEED HELP PLEASE!!!!!!!
1) How long is it from 9:15 am to 4:48 pm? h
2) Find the value of 4n if n=7
3) Solve the equation 3y=21
4) Change the index notation of a⁴ to its factors
What is the volume of the cylinder below
Answer:
I think d or b
Step-by-step explanation:
Answer:
c
Step-by-step explanation: