The fraction of the money belonging to Rachel is [tex]\frac{5}{16}[/tex]
Let [tex]R[/tex] be the amount of money Rachel has
Let [tex]N[/tex] be the amount of money Neil has
Let [tex]C[/tex] be the amount of money Caroline has
Let [tex]M[/tex] be the total amount of money shared between the three people
Then, from the problem we have the following relationships
[tex]R+N+C=M\\\\5N=R \implies N=\frac{R}{5}\\\\\frac{C}{2}=R\implies C=2R[/tex]
Substituting the formulae for [tex]N[/tex] and [tex]C[/tex] into the sum [tex]R+N+C=M[/tex], we get
[tex]R+\frac{R}{5}+2R=M\\\\\frac{5R+R+10R}{5}=M\\\\\frac{16R}{5}=M\\R=\frac{5M}{16}[/tex]
Or, we can say that, [tex]R=\frac{5}{16}\text{ of }M[/tex]
Therefore, the fraction of money Rachel gets is [tex]\frac{5}{16}[/tex] of the total amount.
For an additional example of how to solve word problems that involve sharing money among people, see this answered question: https://brainly.com/question/23286685
angle x and angle y are complementary angles. angle x is eight times larger than angle y. what are the measurements of angle x and angle y?
Answer:
x=80
y=10
Step-by-step explanation:
pleaseeeee helpppppppppppppp
A math class has 3 girls and 7 boys in the seventh grade and 3 girls and 3 boys in the eight grade. The teacher randomly selects a seventh grader and an eight grader from her class for a competition. What is the probability that the students she selects are both boys?
Answer: 3/5
What is a_50 of the arithmetic sequence 45, 40, 35, 30.
Answer:
5s
Step-by-step explanation:
45-5=40
can somebody please help me
Answer:
b
Step-by-step explanation:
How to get p value from t.
Answer:
For a lower-tailed test, the p-value is equal to this probability; p-value = cdf(ts).For an upper-tailed test, the p-value is equal to one minus this probability; p-value = 1 - cdf(ts)a 4 foot statue has a shadow of 3 feet.next to the statue is a telephone pole with a shadow of 18 feet.what is the height of the telephone pole
Answer:
c 15.9 m
Step-by-step explanation:
you are welcome
The height of a ball in feet is modeled by f(x) = -16x² +96x, where x is the time in seconds after it is hit. How long is the ball in the air?
Answer:
The answer is 144 feet and it will be in the air for 6 sec
Step-by-step explanation:
Answer:
92
Step-by-step explanation:
Like and give 5 star rating
An engineer is designing a new dam for a river. The retaining wall of the dam will be angled such that the height above the ground of the top at the wall is three times the horizontal distance between where it begins and where it ends at ground level. The outer angled wall will be 100 feet long this relationship is shown in the picture along with the rest of the question.
A: x+y=100
y=3x
B: x^2 + y^2 = 100^2
y= 3x
C: x+y=100
x=3y
D: x^2 + y^2 = 100^2
x=3y
Answer:
B) x² + y² = 100²
y = 3x
Step-by-step explanation:
The pythagorean theorem : a² + b² = c²
c² in this case is 100, and a and b are x and y
The . vertical distance is three times the horizontal, or y = 3x
The correct option is x² + y² = 100², where y = 3x
-Chetan K
Find x get 15 points and brainliest
4/5x+9/10=5 1/5
Answer:
x=43/8
Step-by-step explanation:
Answer:
43/8
BUT IN A SIMPLIFIED MIXED NUMBER IT IS
5 3/8
How would you write 12 as a Roman numeral?
Answer:
ⅠⅠⅩ
Step-by-step explanation:
ok
Answer:
Step-by-step explanation:
Therefore, 12 in roman numerals is written as XII = X + II = 10 + 2 = XII.
Select the correct answer.
Which graph best represents a function with zeros of -3, 0, and 2?
Answer: C
Step-by-step explanation:
The answer is C
The graph C. represents the polynomial with zeros of -3, 0 and 2.
What are zeros of a polynomial?The zeros of a polynomial p(x) are all the x-values that make the polynomial equal to zero. They are interesting to us for many reasons, one of which is that they tell us about the x-intercepts of the polynomial's graph.
Or we can say that the x- intercept of the graph of the polynomial are the zeros of that polynomial. Thus, the graph with x - intercept -3, 0, 2 represent the required function.
Learn more about zeros of a polynomial here
https://brainly.com/question/10702726
#SPJ2
2. Find the value of x. Give your answer in
simplest radical form.
20
16
Answer:
12
Step-by-step explanation:
The Pythagorean theorem shows that 400 or 20² - 256 or 16² = 144 or 12² which means that the other side is 12
x=12
PLS HELP ASAP ILL GIVE BRAINLKEST
Answer:
4th option
Step-by-step explanation:
Two consecutive numbers exist such that the sum of three times the first number and two less than the second number is equal to 144. What are third numbers
Step-by-step explanation:
two consecutive numbers means that one is larger by 1 than the other number.
so, we have to choices depending on whether the first number (multiplied by 3) is the larger one, or the second number.
to show what I mean, let's start with the second number being the larger one.
we are dealing therefore with x and (x+1).
3x + (x+1) - 2 = 144
4x - 1 = 144
4x = 145
x = 145/4
this is not an integer (but this is necessary to have 2 dedicated consecutive numbers).
so, it is actually not a valid solution.
therefore we are checking the other approach :
we are dealing therefore still with x and (x+1). but now we multiply the other number by 3.
3(x+1) + x - 2 = 144
4x + 1 = 144
4x = 143
x = 143/4
this is still not an integer (but this is necessary to have 2 dedicated consecutive numbers).
so, it is actually not a valid solution either.
and now I am beginning to think you left out some important information in the question.
could it be these 2 numbers are consecutive even or consecutive uneven numbers ?
because then the difference between the both of them is 2 and not 1.
we are dealing therefore with x and (x+2). first attempt to make the smaller number the "first" number :
3x + (x+2) - 2 = 144
4x = 144
x = 144/4 = 36
ah ! now that looks different !
36 and 38 are valid solutions under the changed assumptions. and we are dealing with consecutive even numbers.
let's check :
36×3 + 38 - 2 = 36×3 + 36 = 36×4 = 144
correct.
and fun fact, if we turn this around and make the larger number the "first" number, we are still dealing with x and (x+2), but now we multiply the larger number by 3 :
3(x+2) + x - 2 = 144
4x + 6 - 2 = 144
4x + 4 = 144
4x = 140
x = 140/4 = 35
35 and 37 are also valid solutions under the new assumptions and two consecutive uneven numbers ...
so, please check what your original question (and maybe the headlines and description around it) says. and then pick the right solution.
Timmy is 6 feet tall and casts a 10-foot shadow. Nikki casts a 9-foot shadow. How tall is Nikki?
Answer:
5.4 im pretty sure
Step-by-step explanation:
1) State the area of the given trapezoid.
5m
5m
8m
4m
A) 20 square meters
B) 26 square meters
C) 32 square meters
D) 40 square meters
Answer:
The answer would be 26
Step-by-step explanation:
First I divided the shape to make a rectangle and a right angle triangle, then i calculated the shape of the rectangle which came out to be 20. After that I calculated the area of the right angle triangle which is 6. So The answer would be 6 + 20 = 26
Solve. −2/9x+2.7=4 Enter your answer as a decimal or as a mixed number in simplest form in the box. x =
Answer:
−5 17/20
Step-by-step explanation:
I took the test lol
How do I solve this?
Answer:
x= -2
Step-by-step explanation:
y=x+4
y=2
2=x+4
-4+2=x
-2=x
x=-2
Answer:
x= -2
Step-by-step explanation:
[tex]\sf 4x-15=3[/tex]
[tex]\sf \longmapsto4x-15=3[/tex]
[tex]\sf \longmapsto4x = 3 + 15[/tex]
[tex]\sf \longmapsto4x = 18[/tex]
[tex]\sf \longmapsto{x }= \frac{18}{4}[/tex]
[tex]\sf \longmapsto x = 4.5[/tex]
Answer:
[tex]x=\cfrac{9}{2}\;\; or \;\;4.5[/tex]
Step-by-step explanation:
[tex]4x-15=3[/tex]
[tex]4x-15+15=3+15[/tex] Add 15
[tex]4x=18[/tex]
[tex]\cfrac{4x}{4}=\cfrac{18}{4}[/tex] Divide by 4
[tex]x=\cfrac{9}{2}[/tex]
Martin had 7 pounds of grapes left, and he gave away 2
5
of them. Explain how to use compatible numbers to estimate the amount of grapes he gave away.
#Nova
Answer: 2/5 is closer 1/2. and it is easy to find half of 7 mentally. Half of 7 is 3.5, so Martin gave away about 3.5 pounds away.
Help I am in 4 grade number 5
You're almost there. Write the numbers 0, 1, 2, 3, and 4. Since the mixed number is 3 4/5, we know that the point will be somewhere in between 3 and 4 on the number line. To figure out how many ticks/lines to draw in between each number, look at the fraction attached to the mixed number. Remember, a fraction is a part of a whole. We want to know the total number of parts that are in the whole- so we are looking at the denominator, 5. So there are 5 ticks/lines. The numerator represents the number of parts we need to count: 4. This places the point 4 ticks/lines after the "3." The number line should look like this:
Meshal earns $750 per week. He has 1/5 of his income withheld for federal taxes, 1/15 of his income withheld for state taxes, and 3/25 of his income withheld for medical coverage. How much income is left each week after those deductions?
Answer:
$460 is the Income Left.
Step-by-step explanation:
1/5 of $750 is $150 so after Federal Taxes he has $600
1/15 of $750 is $50 so after State Taxes he has $550
3/25 of $750 is $90 so after Medical Coverage he has $460
Therefore after the Income that’s left after those deductions would be $460.
HELPMEPLZZ.
Figure ABCD is transformed to obtain figure A'B'CD Part A Write the sequence of transformations that changes figure ABCD to figure A'B'C'D' Explain your answer and write the coordinates of the figure obtained after each transformation. (6 points) Part B: Are the two figures congruent? Explain your answer (4 points)
Answer: yes because they both go to the 0 and has the same shape.
Step-by-step explanation: yes
How to find unique prime factorization of 10 factorial.
Mr. Green’s hobby was restoring old houses. He recently purchased an old rundown house that needed a lot of repair, especially with the plumbing. The kitchen faucet dripped all day and night. It intrigued Mr. Green how much water dripped from this faucet in one day, but he surely didn’t want to sit and watch the faucet drip all day. So he figured that if he could discover how much water dripped within a certain time span, he could calculate the dripping rate for any time span. In his first observation he noted that 6 ounces of water dripped in 10 minutes.
A) Using Mr. Green’s observation, can you help him figure out how much water would have dripped in only 5 minutes?
Answer:
3 ounces of water
Step-by-step explanation:
If 6 ounces of water dripped in 10 minutes, then that means that in HALF the time (5 minutes), HALF the amount of water would drip, which is 3 ounces.
I rlly need help it’s due tmrw
Answer:
3.Top: |-80| + |50| = 80 + 50 = 130m
Bottom: same as top
Left: |50| + |-20| = 50 + 20 = 70m
Right: same as left
4.
130m+130m+70m+70m=400m
The perimeter is 400 meters
4) Which orde
inequality
3) Which ordered pair is a solution to the linear
inequality below?
2x – 3y < 9
A. (6,-4)
B. (-1,-9)
C. (2,-5)
D. (-3,-3)
Answer:
D)
Step-by-step explanation:
A is incorrect because: 2(6) -3(-4)<9 which is 24<9 which is not true
B is incorrect because: 2(-1) -3(-9)<9 which is 25<9 which is not true
C is incorrect because: 2(2) -3(-5)<9 which is 19<9 which is not true
D is correct because: 2(-3) -3(-3)<9 which is 3<9 which is true
m divided 6 when m=48
[tex]\dfrac m 6 = \dfrac{48}6 = \dfrac{ 8 \times 6}6 = 8[/tex]
How do you know it is positive or negative in exponents.
Kal decides to open a home-based cupcake business. His cost is an initial value of $10 in operating expenses plus $0.25 to make each cupcake. He will sell each cupcake at $1.50 to try and make a profit. How many cupcakes will he need to sell before he makes a profit?
Also need an equation
Answer:
4
Step-by-step explanation:
