Brooke and Samuel had the same number of marbles. Brooke gave away 20 marbles and Samuel gave away 44 marbles. Brooke then had 3 times as many marbles as Samuel. How many marbles did Brooke and Samuel each have at first?
Answers
Given:
Brooke and Samuel had same number of marbles.
Let x and y be the number of marbles Brooke and Samuel had.
At first, x=y ... (1)
(x-20)=3(y-44) .... (2)
Substitute equation (1) in (2,
\(y-20=3(y-44)\)\(y-20=3y-132\)\(3y-y=132-20\)\(2y=112\)\(y=56\)Therefore, Brooke and Samuel each have 56 marbles each at first.
Related Questions
4. Emily, Ashley and Peter can clean a warehouse in 2 hours. If Emily does the job alone, she can finish it in 6 hours. If Ashley does the job alone she can finish it in 8 hours.
How long will it take for Peter to finish the job alone?
How long will it take for Emily and Peter to finish the job together.
Answers
According to the unitary method,
A) The time taken for Peter to finish the job alone is 4 hours, 48 minutes.
B) The time taken for Emily and Peter to finish the job together is 2 hours, 36 minutes.
Unitary method:
In math, unitary method refers the process of finding the value of a single unit, and based on this value.
Given,
Emily, Ashley and Peter can clean a warehouse in 2 hours. If Emily does the job alone, she can finish it in 6 hours. If Ashley does the job alone she can finish it in 8 hours.
Here we need to find the following:
A) The time take for Peter to finish the job alone
B) The time taken for Emily and Peter to finish the job together
Let us consider x be the time taken for Peter to finish the job alone.
So, based on the given question we can write it as,
=> 1/6 + 1/8 + 1/x = 1/2
=> (8 + 6)/48 + 1/x = 1/2
=> 14/48 + 1/x = 1/2
=> 7/24 + 1/x = 1/2
=> 1/x = 1/2 - 7/24
=> 1/x = 12 -7/24
=> 1/x = 5/24
=> x = 24/5
=> x = 4.8
So, the time taken for Peter to finish the job alone is 4 hours, 48 minutes.
Then the time taken for Emily and Peter to finish the job together is calculated as,
=> 5/24 + 1/6
=> 5 + 4/ 24
=> 9/24
=> 3/8
Therefore, the time taken for Emily and Peter to finish the job together 2 hours, 36 minutes.
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Please help I am struggling bad with this question thank you all
Answers
b = speed of the boat in still water
c = speed of the current
when going Upstream, the boat is not really going "b" fast, is really going slower, is going "b - c", because the current is subtracting speed from it, likewise, when going Downstream the boat is not going "b" fast, is really going faster, is going "b + c", because the current is adding its speed to it.
Now, the boat goes Upstream 48 miles, so Downstream must be travelling the same 48 miles back.
\({\Large \begin{array}{llll} \underset{distance}{d}=\underset{rate}{r} \stackrel{time}{t} \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Upstream&48&b-c&3\\ Downstream&48&b+c&2 \end{array}\hspace{5em} \begin{cases} 48=(b-c)(3)\\\\ 48=(b+c)(2) \end{cases} \\\\[-0.35em] ~\dotfill\)
\(\stackrel{\textit{using the 1st equation}}{48=(b-c)3}\implies \cfrac{48}{3}=b-c\implies 16=b-c\implies \boxed{16+c=b} \\\\\\ \stackrel{\textit{using the 2nd equation}}{48=(b+c)2}\implies \cfrac{48}{2}=b+c\implies 24=b+c\implies \stackrel{\textit{substituting}}{24=(16+c)+c} \\\\\\ 24=16+2c\implies 8=2c\implies \cfrac{8}{4}=c\implies \boxed{2=c}~\hfill~\stackrel{ 16~~ + ~~2 }{\boxed{b=18}}\)
47% as a fraction. Simplified. Answer cant be 47/100
Answers
The screenshot you sent us didn't not require it to be a fraction, so i will make it a decimal
47/100*70=
0.47*70=
4.7*7=
32.9
Answer:
32.9 = x
47% of 70 = 32.9/70
or, if rounded, = 33/70
Step-by-step explanation:
Two ways:
A. 47/100 = x/70
47 = 100x/70
3290 = 100x
32.9 = x
47% of 70 = 32.9
B. 70 * 47% = x
70 * .47 = x
32.9 = x
Write the equation of the line that is parallel to the original equation and passes through the point
(12, 6).
Answers
Answer:
12
Step-by-step explanation:
At the art store, Aisha bought a few blocks of clay to make a teapot and matching mugs for her aunt. She used 2 1/2 pounds of clay to make the mugs and 1 1/2 times as much clay for the teapot. If each block of clay weighed 2 pounds, how many blocks did Aisha use in all?
Answers
Answer:
3 1/8
Step-by-step explanation:
Pls give brainliest
A game of Blackjack or “21” is played with a regular deck of cards. The aim of the game is to have cards that add up to 21. The cards are not replaced to the deck once they have been drawn. If you draw two cards in a row, what is the probability of getting 21, when first card you get is an ace and the second card is a queen?
Answers
The probability of getting 21, when first card is an ace and the second card is a queen = 0.024133.
The term blackjack means that you get a value of 21 with only two cards.
Number of cards in a deck of cards = 52
There are 4 types of cards in a deck of cards - spades, clubs, hearts, and diamonds, out of which spades and clubs are black in colour.
Given that first card is Ace and second one is a Queen.
Odds of getting an Ace are 4/52, odds of the next being Queen is 16/51.
P(blackjack)=4×16/(52/2).
where P is used for probability .
Probability: Probability is simply how likely something is to happen. Whenever we are unsure about the outcome of an event, we can talk about the probabilities of certain outcomes. The analysis of events governed by probability is called statistics.
Probability of getting an ace followed by a queen card: 4/52 * 16/51 = 0.024133.
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Leah works at an appliance store. She recorded her recent sales.
washing machines 3
dishwashers 1
ovens 6
clothes dryers 5
What is the experimental probability that the next appliance Leah sells will be an oven?
Answers
6/15
you add everything she sells together. ( 3+1+6+5=15) Then you put the amount of ovens she sells above taht number, making it a fraction.
Need as much help as I can get before 7 minutes are over
Answers
Answer:
think the answer is E but not 100%. been a while. let me know either way
Help plzz be serious
Answers
Answer: 864
Step-by-step explanation:
mulitiply all
«
Use complete sentences to describe how simplifying expressions with multiple logarithms makes evaluating
expressions less complicated.
Answers
Step-by-step explanation:
bracket first in simplify
100pts! Please help <3
______________________
Answer each question individually
______________________
A community is developing plans for a pool and hot tub. The community plans to
form a swim team, so the pool must be built to certain dimensions. Answer the
questions to identify possible dimensions of the deck around the pool and hot tub.
Part I: The dimensions of the pool are to be 25 yards by 9 yards. The deck will be
the same width on all sides of the pool. Including the deck, the total pool area
has a length of (x+25) yards, with a width of (x+9) yards.
a.) write an equation, representing the total area of the pool and the pool deck. Use white represent the total area. Hint: the area of a rectangle is the length times width
b.) re-write the area equation in standard form. Hint: use the FOIL method.
c.) re-write the equation from part B in vertex form by completing the Square. Hint: move the constant to the other side, add to each side, rewrite the right side as a perfect square trinomial, and finally, isolate the Y.
d.) what is the vertex of the parabola? What are the X - and Y - intercepts? Hint: use your answer from part a to identify the X – intercepts. Use your answers from part B to identify the Y – intercept. Use your answer from part C to identify the vertex.
e.) grab the para bola. Use the key features of the graph that you identified in part D.
f.) in this problem, only positive values of X makes sense why?
g.) what point on your graph shows a total area that includes the pool but not the pool deck?
h.) the community decided on a pool area that add 6 yards of pool deck to both the length and the width of the pool. What is the total area of the pool and deck when X=6 yards?
Part ll
A square hot tub will be placed in the center of an enclosed area near the pool. Each side of the hot tub measures 6 feet. It will be surrounded by X feet of deck on each side. The enclosed space is also square that has an area of 169 ft.². Find the width of the deck the space around the hot tub, x.
Step 1-Ryan equation for the area of the enclosed space in the form Y=(side length)2 hint: don’t forget to add x to each side of the hot tub
Step 2- substitute the area of the enclosed space for y in your equation
Step 3- so if your equation from part B for X
Step 4: what is the width of the deck around the hot tub? Hint : one of the answers from part seat is not reasonable
Answers
a) The equation representing the total area of the pool and the pool deck is: A = (x + 25)(x + 9).
b) The area equation in standard form is A = x² + 34x + 225.
c) The vertex form is A = (x + 17)²- 289
d) The x-intercepts is (-4, 0).
a) The equation representing the total area of the pool and the pool deck is: A = (x + 25)(x + 9).
b) Re-writing the area equation in standard form using the FOIL method:
A = x² + 9x + 25x + 225
A = x² + 34x + 225
c) Re-writing the equation from part b in vertex form by completing the square:
A = (x + 17)²- 289
d) The vertex of the parabola is (-17, -289).
The x-intercepts can be found by setting A = 0:
(x + 17)² - 289 = 0
(x + 17)² = 289
x + 17 = ±17
x = -34, 0 (x-intercepts)
The y-intercept is found by setting x = 0:
A = (0 + 17)² - 289
A = 0 (y-intercept)
e) The graph of the parabola is a downward-opening parabola with vertex (-17, -289).
f) In this problem, only positive values of x make sense because the dimensions of the pool and deck cannot be negative.
g) The point on the graph that shows a total area that includes the pool but not the pool deck is the vertex (-17, -289).
h) When x = 6 yards, the total area of the pool and deck can be calculated by substituting x = 6 into the equation:
A = (6 + 17)² - 289
A = 23² - 289
A = 529 - 289
A = 240 square yards
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A news agent conducted a survey of business magazine subscribers in a town and found that there was
circulation of only three business magazines. He made the Venn diagram below to show the number of
subscribers to each of the three magazines: Board Review, Strategy and Finance, and Investor Journal
Answers
394 subscribers are represented in the venn diagram.
What is venn diagram?Venn diagrams are charts that are used to visually represent relationships between sets, operations on those relationships, and set relationships. The Venn diagram, which uses circles that are overlapped, intersected, and not intersected to depict the relationship between sets, was created by John Venn. A set diagram or a logic diagram is another name for a Venn diagram, which shows a variety of set operations such the intersection, union, and difference of sets.
Additionally, it can be used to set items. a depiction of each relationship between several sets. Any closed figure, such as a circle or a polygon (square, hexagon, etc.), can be used to represent a Venn diagram. However, each group is typically represented as a circle.
according to the venn diagram
196+41+21+52+84 = 394
There are 394 subscribers
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Please answer ASAP my assigned due tomorrow WORTH 15 POINTS
Answers
Answer:
$7.74
Step-by-step explanation:
The school buys 350 books. These books, in total, costed the school $1137.50. The school wants to make a profit of $1500.
For the school to make a profit on its purchase, it needs to earn $1500 more than the price that they paid for the books.
This means that we can add these values together to get the minimum amount that the school needs to earn
\(1137.50+1500=2637.50\)
Now that we have the minimum value, we can divide this by 350 in order to find the minimum price for each individual book.
\(\frac{2637.50}{350} =7.7357=7.74\)
This means that the school needs to sell these books for at least $7.74
(... This fictional school is selling the books for more than double the price they paid for them...)
Ronald repairs computers. He charges $25 for a house call and $24 per hour. If Ronald charges $145 for one of his jobs, including the house call, which equation can be used to find h, the number of hours he worked?
Answers
Answer:
25+24h=145
Step-by-step explanation:
mark is a carpenter he is trying to decide how much money to charge for his next job to do the job he will need to buy supplies that will cost $275 he will also need to rent a machine that will cost $125 he wants to charge enough to have $150 profit how much money should mark charge for the job
Answers
Someone help pleaseee :)) thanks guyss
Answers
2 7/10
Explanation:
First you multiply 5 by 2/5 which is 2.
Next you multiply 2 by 2 which is 4.
Then you multiply -3 by 1.1 or you can turn it into a fraction then multiply
-3x11/10 which is - 33/10 .
Finally you put them all together and add or subtract.
2+4-33/10=?
6 - 33/10=?
60/10-33/10=27/10=2 7/10
A) What is the value of x?
B) What is the value of y?
C) What is the best classification for the triangle?
Answers
Answer: x = 14; y = 74; Isosceles and Acute
Step-by-step explanation: 3(x+7) = 3x + 21
Isosceles triangles have congruent base angles making 63 = 3x +21
Solve for x.
All angles of a triangle add up to 180 making y = 180 - 63 - 63.
Isosceles because two sides are congruent. And acute because all angles are under 90.
Question 1 of 5
The two best runners, Imani and Jack finished first and second. (20 points)
Extra Content
In each of the following sentences, exactly one comma is missing. Determine where the missing comma should be placed, and choose the correct answer.
A after best
B. after Jack
C. after first
Answers
"After first" will be the one comma that is lacking in this sentence. Imani and Jack, the two best runners, came in first and second, so that is the perfect phrase.
what is comma ?In order to create equilibrium, add a comma after a conjunction. We drove to the beach but turned around since there was no more space in the parking lot. The placement of a comma after a conjunction as opposed to before is one of the most frequent mistakes with commas: Nancy always found time despite having a busy schedule to visit the gym.
explanation :
If any of these seven coordinating conjunctions—and, but, for, or, nor, so, yet—are used to unite independent sentences, you should use commas to separate them.
Place commas after the preceding opening (a) sentences, (b) phrases, or (c) words.
"After first" will be the one comma that is lacking in this sentence. Imani and Jack, the two best runners, came in first and second, so that is the perfect phrase.
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Please help! I’ll mark you as brainliest if correct
Answers
Answer:
You need to add 150 mL of 65% alcohol solution.
Step-by-step explanation:
You have 300 mL of 20% solution.
300 mL of 20% alcohol solution has 20% * 300 mL of alcohol.
You have 65% solution.
Let the volume of 65% solution you add be x.
In 65% solution, 65% of the volume is alcohol, so the amount of alcohol in x amount of 65% solution is 65% * x.
You want 35% solution.
The total amount of 35% solution you will make is 300 mL + x. The amount of alcohol in that amount of solution is 35% * (x + 300).
Equation of alcohol content:
20% * 300 + 65% * x = 35% * (x + 300)
60 + 0.65x = 0.35x + 105
0.3x = 45
x = 150
Answer: You need to add 150 mL of 65% alcohol solution.
●
Jamie went out to her grandfather's farm.
Her grandfather has pigs and chickens on his farm.
She noticed that there were a total of 26 heads and
68 feet among them. How many chickens and how
many pigs did her grandfather have?
Answers
Answer:
8 pigs
Step-by-step explanation:
Since every animal has only 1 head, a total of 26 heads suggests that there are 26 animals in total.
Suppose all animals are chickens.
Total no. of feet = 26 chickens × 2 feet
= 52 feet
Difference in total no. of feet = 68 feet - 52 feet
= 16 feet
Difference in no. of feet each animal has
= 4 feet (a pig) - 2 feet (a chicken)
= 2 feet
∴ No. of pigs = 16 feet ÷ 2 feet
= 8 pigs
Are the two triangles congruent?
Answers
Answer:
yes.......................
Step-by-step explanation:
need help with this ASAP
!!!!!!!!!!!!!!!!!!!!!!!!
Answers
The fence in dead center is about 399 feet from the third base.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side, is equals to the sum of the squares of the lengths of the other two sides.
Hence the equation for the theorem is given as follows:
c² = a² + b².
In which:
c > a and c > b is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.For the triangle in this problem, we have that:
The sides are d ft and 90 ft.The hypotenuse is of 409 ft.Hence the distance is obtained as follows:
d² + 90² = 409²
\(d = \sqrt{409^2 - 90^2}\)
d = 399 ft.
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Como faz isso?
1/3 + 2/4 - 3/2
Answers
Answer:
-2/3
Step-by-step explanation:
1/3 + 2/4 - 3/2
= 4/12 + 6/12 - 18/12
= 10/12 - 18/12
= -8/12
= -2/3
I need help fast!! 7th grade math
Answers
Answer:
TU
Step-by-step explanation:
Imagine flipping the original trapezoid on its side and eyeballing which side of the now flipped trapezoid looks like the side CD.
Mrs. Stewart is making banana pudding for a family reunion. Her recipe uses1.5 bananasper dish of pudding. If one dish of pudding can feed 18 people, about how many bananas will she need to feed the 234 people that will be at the reunion?
WILL GIVE BRAINLY
Answers
Should be something like this:
If one dish uses 1.5 bananas and can feed 18 people that proportion would be
\(\frac{1.5}{18}\) = \(\frac{x}{234}\)
so 234 x 1.5 = 18x
351 = 18x
x = 19.5
She needs 19.5 bananas to feed 234 people.
Hanna is recovering hundreds of treasure chests from an ancient shipwreck. She is able to recover 8 chests
every 4 hours.
Complete the table using equivalent ratios.
Treasure chests
Hours
8
4
6
10
Answers
A laptop used to cost $122. After a 35% discount, what is the new cost of the laptop?
Answers
Answer:
42.70
Step-by-step explanation:
Answer:
The new cost is $79.30
Step-by-step explanation:
since 35% of 122 is $42.70 you will subtract that from 122 to get $79.30
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Juan spins two different fair spinners. One spinner has numbers 1 through 8. The other has letters A through F. What is the probaility that one spinner will land on 3 and the other will land on C?
Answers
Answer:
...
Step-by-step explanation:
y = |x - 5| + |x + 5| if x >5
Answers
Answer:
y = 2x
Step-by-step explanation:
You want the simplified form of y = |x -5| +|x +5| if x > 5.
Turning pointsThe graph of the whole function will have turning points where the absolute value expressions are 0:
x -5 = 0 ⇒ x = 5
x +5 = 0 ⇒ x = -5
For values of x > 5, we are concerned with that portion of the graph that is to the right of both of these turning points. Hence, both absolute value expressions are positive and unchanged by the absolute value bars.
y = (x -5) +(x +5) . . . . . . if x > 5
y = 2x . . . . . . . . . . . . . . collect terms
The simplified function is y = 2x.
__
Additional comment
The attached graph shows y=2x and the given function for x > 5. They are identical. (The y=2x graph is shown dotted, so you can see the red graph of the given function.)
2. The table includes results from polygraph experiments. In each case, it was known if the
subject lied or did not lie, so the table indicates when the polygraph test was correct. Find the
test statistic needed to test the claim that whether a subject lies or does not lie is independent of
the polygraph test indication.
Polygraph test indicated
that the subject lied.
Polygraph test indicated
that the subject did not lie.
025.571
Did the Subject Actually Lie?
No (did not lie) Yes (lied)
15
32
42
9
(1 poir
Answers
We cannot conclude that whether a subject lies or does not lie is independent of the polygraph test indication.
How to explain the hypothesisThe test statistic needed to test the claim that whether a subject lies or does not lie is independent of the polygraph test indication is the chi-square statistic.
In this case, the grand total is 90. The row totals are 57 and 33, and the column totals are 42 and 48. The expected frequencies are as follows:
The chi-square statistic is calculated as 0.177. The p-value for the chi-square statistic is calculated using a chi-square table. The degrees of freedom for the chi-square table are the number of rows minus 1, multiplied by the number of columns minus 1.
Since the p-value is greater than 0.05, we fail to reject the null hypothesis. We cannot conclude that whether a subject lies or does not lie is independent of the polygraph test indication.
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