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
The temperature of a mixture changes by −5.2°F between 8 a.m. and 11 a.m. At 6 p.m., the temperature is 14.5°F, which is half what it was at 11 a.m.
What was the temperature at 8 a.m. of the mixture?
Enter your answer as a decimal in the box.
Answer:
34.2
Step-by-step explanation:
Answer:
K12 Answer
Step-by-step explanation:
The mean of 7 numbers is 15. When an 8 thnumber is added, the mean decreases to 12. What is the 8 thnumber?.
Answer:
-9?????????????????????????
Step-by-step explanation:
hat is an equation of the line that passes through the point (4,-6) and has a slope of -3?
1. y=-3x + 14
2. y=-3x + 6
3. y=-3x - 6
4. y = -3x + 10
Answer:
2
Step-by-step explanation:
y=-3x+6
how do I find a slope that does not have zero as a point of origin
Answer:
See answer below.
Step-by-step explanation:
Pick any two ordered pairs that is on the given graph line.
The Slope = (the change in the y-values)/(the change in the x-values) or
-1.2= y/2.4 -1.7
Solve for y
[tex]{\huge{\boxed{\sf{Question}}[/tex]
[tex]-1.2= y\div2.4 -1.7[/tex]
Solve for y
[tex]{\huge{\boxed{\sf{Answer\:with\:explanation }}}[/tex]
let's put our equation first
[tex]-1.2= y\div2.4 -1.7[/tex]
Flip the equation
[tex]y\div2.4-1.7=-1.2[/tex]
Now follow the rule of [tex]BOMDAS/PEMDAS[/tex]
[tex]{\huge{\boxed{\sf{BOMDAS }}}[/tex]
BracketsOf multiplicationDivisionAdditionSubtraction[tex]{\huge{\boxed{\sf{PEMDAS}}}[/tex]
ParenthesisExponentsMultiplicationDivisionAdditionSubtraction_________________________
[tex]{\huge{\boxed{\sf{Solve\:the\:equation}}}[/tex]
_________________________
[tex]y\div2.4-1.7=-1.2[/tex]
[tex]{\underline{simplify}}[/tex]
[tex]0.416667y-1.7=-1.2[/tex]
add [tex]1.7[/tex] to both sides
[tex]0.416667y=0.5[/tex]
Divide both sides by [tex]0.416667[/tex]
[tex]y=1.2[/tex]
[tex]{\huge{\boxed{\sf{Answer}}}[/tex]
[tex]y[/tex] would equal [tex]1.2[/tex]
Harley downloads 8 games the total amount of available memory used for the games 57.2 gigabytes
Answer:
each game takes up 7.15 gigabytes (assuming each game takes up the same amount of storage.
Step-by-step explanation:
57.2 divided by 8 is 7.15
at a baseball game, henry bought 5 hotdogs and 3 bags of chips for $14.82. scott bought 7 hotdogs and 6 bags of chips for $22.89.
Answer Please will give brainliest.
Step-by-step explanation:
blue is natural: 1, 4, 0, 2 and root of 25.
green is whole: -9 and -15.
yellow is rational: 2/3
orange is irrational: pi and root of 15.
white is real numbers.
don't know about that purple one.
A group of adults and kids went to see a movie. Tickets cost $8 each for adults and $5 each for kids. The group paid $59 in total. There were 10 people in the group.
Find the number of adults and kids in the group.
A
2 adults and 8 kids
B
3 adults and 7 kids
C
4 adults and 6 kids
D
5 adults and 5 kids
please answer this I’ll mark brainliest and follow
this is the correct answer
For a Brainlist please help me out
+ give accurate explanation
Answer:
A:Tina's. B: Gabby's
Step-by-step explanation:
Luckly the two people are using the same unit to measure both time (in weeks) and height (in inches), so no conversion needed.
At this point, let's start dealing with the questions.
A. They bought the plants at week 0.
For Tina, we calculate [tex]f(0) = 0+1.5 = 1.5[/tex]
For Gabby, we scout the table till we find week 0 and check the corrisponing value: it's (0; 1) Since 1 is smaller than 0, at start Tina plant was taller.
B. The easiest way would be to stare at Gabby's table for a bit, and notice that each increase is 2 more than the previous, and the progression starts at 1. We can write it as an equation as [tex]g(x) = 2x+1[/tex]. If you confront with Tina's growth, you can tell that Gabby's plant grows twice as fast - the slope is double. Else, you can see that even just after one week, Tina's plant will be 2.5 in tall, while Gabby's outgrew hers already. That's possible only if the plant is growing faster.
Determine the solution for the following equation: (8x-8)3/2=64
Answer:
X=3
Step-by-step explanation:
Edge2021
What is the answer?? I need help!!
NO LINKS!!!
Function
Use "vertical line test"
searched it if you don't know
Step-by-step explanation:
yes, it is a function.
every value of x has exactly one associated (result) value of y.
that several different x have the same result value y, is not a problem.
a problem would be, if there were at least one value of x that would have multiple possible result values. then it would not be a function.
please help me :,)
x=-2
x=-1
x=0
x=1
x=2
Answer:
x can equal either 0 or 1
Step-by-step explanation:
If we look at the chart, we see that the values of 3^x = 2x+1
when x is 0 and when x is 1
so f(x) = g(x) when x = 0 or 1
Please show all work
No links please
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today! I hope you are having a nice day.
So we can solve this in one single step, I'll start off with solving it.
So first we know that [tex]AB=DF[/tex] and of which [tex]DF[/tex] is the Hypotenuse of triangle [tex]DE F[/tex].
Since the hypotenuse is equal to one of the legs of the 2nd triangle, we cannot use any rule that has Side in it as they are both not really getting us anywhere.
We do know that [tex]<ABC=<DE F[/tex] as they are both 90 degrees.
As we don't have enough proof, these triangles are not congruent as we would need to do/prove rule RHS.
Cheers!
What is the slope of the equation Y= 5/4 x - 7/4?
a. -7
b. -7/4
c. 5/4
d. 5
Answer:
a
Step-by-step explanation:
Answer: c
Step-by-step explanation:
What is the solution to the system of equations?
V
스를
2
X +3
X = -2
ㅇ(-2,-1)
ㅇ(2)
0
11
0
아2를
Step-by-step explanation:
x = -2
is a given.
now use this also in the first equation :
y = 2/3 × -2 + 3 = -4/3 + 9/3 = 5/3
so, [-2, 5/3] is correct
help asap help asap for a brainlist
Answer:
x=4
Step-by-step explanation:
Step 2 and 3 are incorrect,
4x+8 = 24
24-8 = 16
it should then be 4x=16
you then divide by 4 on each side
x=4
If Jada runs 5 laps around the track in 6 minutes how many minutes per lap is that
Answer:
1.2 minutes
Step-by-step explanation:
5 laps >> 360 ( 6×60)
1 lap >> x
cross multiplication
5x = 360
x = 360/5
x= 72 second
x = 72/60 = 1.2 minute
21 by 36 subtract 2 by 5 multiple 5 by 8
Answer:
676That's my opinionStep-by-step explanation:
Imsureeeeeeee123Answer:
0.3333333333
Step-by-step explanation:
21/36 Convert To 0.58333333333
2/5 Convert To 0.4
5/8 Convert To 0.625
A ceramic artist can shape a pot in 3 minutes. It takes 10 minutes to fire one batch of pots in the kiln. If there are p pots in a batch, which expression represents the time it takes to shape and fire one batch of pots? How long will it take the potter to form and fire
Answer:
3p to shape and 10 minutes to fire
= 3p + 10
3x10 + 10 = 40 minutes for a batch of 10 pots
therefore D is the correct answer.
The expression is 3p + 10. It takes 40 minutes to shape and fire 10 pots. Therefore, option D is the correct answer.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Given that, a ceramic artist can shape a pot in 3 minutes. It takes 10 minutes to fire one batch of pots in the kiln.
There are p pots in a batch.
3p to shape and 10 minutes to fire
So, the expression is 3p+10
To form and fire a batch of 10 pots:
Put p=10 in 3p+10, we get
3x10 + 10 = 40
Therefore, option D is the correct answer.
To learn more about an expression visit;
https://brainly.com/question/28170201.
#SPJ6
"Your question is incomplete, probably the complete question/missing part is:"
A ceramic artist can shape a pot in 3 minutes. It takes 10 minutes to fire one batch of pots in the kiln. If there are p pots in a batch, which expression represents the time it takes to shape and fire one batch of pots? How long will it take the potter to form and fire a batch of 10 pots? A.The expression is 3p. It takes 30 minutes to shape and fire 10 pots.
B.The expression is 3p − 10. It takes 20 minutes to shape and fire 10 pots.
C.The expression is 3(p + 10). It takes 60 minutes to shape and fire 10 pots.
D.The expression is 3p + 10. It takes 40 minutes to shape and fire 10 pots.
Tyrone has already typed 100 words for an essay and can type 35 words per minute. Vanessa has already typed 120 words and can type 30 words per minute. In how many minutes will Tyrone and Vanessa have typed the same number of words?
Answer:
cant help you, but thanks for the points
how much time is required to change 22Ns momentum by a force of 20N.
Answer: time is 1.1 sec
Step-by-step explanation:
Answer:
1.1s
Step-by-step explanation:
t=m/F
t=time, m=momentum, F=Force
t=22/20= 1.1s
Evaluate.
3.23
+52
- 18 ÷6 A.25 B.31 C.40 D.46
Answer:
d
Step-by-step explanation:
work out the m and c for the line 3y+2x=-1
Answer:
m = -2/3 and b = -1/3
Step-by-step explanation:
Write the equation of this line in slope-intercept form. Then m = slope and b = y-intercept and the basic equation is y = mx + b.
Solving 3y+2x=-1 for y, we get 3y = -2x - 1, or y = (-2/3)x - 1/3
Here we can easily see that m = -2/3 and b = -1/3.
helpppppp asapppppp pls
A: 80°
B: 75°
C: 110°
D: 95°
Answer:
A. 80 degrees
Step-by-step explanation:
the equation at the top tells you that they are the same shape so you just need to find which angle one the first shape is equal to the angle H
Paul was thinking of a number.Paul doubles it and gets a answer of 13.1.What was the orginal number?
Answer:
See below:
Step-by-step explanation:
So first, Paul has a number that he got before he multiplied it, we can call that [tex]p[/tex], and for his answer after doubling it. we'll call it [tex]n[/tex].
So with this information, we know that [tex]n=13.1[/tex] so we can use that to make an equation.
[tex]p*2=n\\p*2=13.1[/tex]
We can solve it by first dividing on both sides and getting our answer.
[tex]p=\frac{13.1}{2} \\p=6.55[/tex]
Cheers! We get our final answer of 6.55.
Distribute to write an equivalent expression 7(x+3)
Answer:
7x + 21
Step-by-step explanation:
7(x + 3)
= 7.x + 7.3
= 7x + 21
Answer:
[tex]7x+21[/tex]
Step-by-step explanation:
Multiply the single term 7 by each term of the polynomial [tex](x+3)[/tex]
14) When simplified, -2(x + 1) - 4(x - 3) is equivalent to
Answer:
-6x+10
Step-by-step explanation:
-2(x + 1) - 4(x - 3)
Distribute
-2x-2 -4x+12
Combine like terms
-6x+10
Answer:
-6x +10
Step-by-step explanation:
First, open the parenthesis by multiplying the number outside to the terms inside:
-2(x+1) = -2x - 2
-4(x-3) = -4x + 12
then combine the like terms:
-2x - 4x + 12 - 2 = -6x + 10
PLZZZ HELPPPP MEEEEEEE
Step-by-step explanation:
I can help you, but first make me brainliest