Answer:
Let's define the variables :
Q = number of quarters that Victor has
P = number of pennies that victor has
D = number of dimes that victor has.
We know that:
"He has three times fewer pennies than dimes"
P = D*3
"he has 4 fewer quarters than pennies."
Q = P - 4
And we know that in total, he has $4.60, then:
Q*$0.25 + P*$0.10 + D*0.05 = $4.60
Then we have a system of equations:
P = D/3
Q = P - 4
Q*$0.25 + P*$0.01 + D*0.10 = $4.60
To solve this, we need to replace variables in order to eliminate them.
We can start by replacing the first equation into the other two:
Q = D/3 - 4
Q*$0.25 + (D/3)*$0.01 + D*0.10 = $4.60
Now we can replace the top equation into the bottom one:
(D/3 - 4)*$0.25 + (D/3)*$0.01 + D*0.10 = $4.60
And now solve this for D:
D*($0.25/3 + $0.01/3 + $0.10) -$1 = $4.60
D*$0.1866... = $4.60 + $1.00 = $5.60
D = $5.60/$0.1866... = 30
Then he has 30 dimes.
P = D/3 = 30/3 = 10 pennies
Q = P - 4 = 10 - 4 = 6 quarters.
In total he has 30 + 10 + 6 = 46 coins.
Select three ratios that are equivalent to 5:2. Choose 3 answers:
А 2 : 5
B 10:4
C 20 : 50
D 35 : 14
E 55 : 22
Answer:
B, E, D
Step-by-step explanation:
You just look for the ones that have the same factors as 5:2
Answer:
A
C
D
Step-by-step explanation:
if I'm not wrong, I'm sure is that
Explain how to find the slope of the line. And explain answer
Answer:
by using the slope incercept form: y=mx+b
this one is m=7/3 (m is the letter we use for the word slope btw) :)
Step-by-step explanation:
Which linear inequality is represented by the graph?
PLEAe help
Answer:
The answer to your problem is the last option
ratio of 5 to 2 total number of servers and cooks is 42 how many servers
Answer:
30
Step-by-step explanation:
5 x 6 = 30
2 x 6 = 12
30+12 = 42
Plz help me I am timed
What kind of triangle is shown below?
OA) scalene triangle
OB) right triangle
OC) equilateral triangle
OD) isosceles triangle
Answer:
The answer is equilateral triangle
Answer:
OA) scalene triangle
Step-by-step explanation:
hope this helped also all angles are 60 degrees that's how you know ;)
In 1986 a family member invested$ 100 each month into savings account with an interest rate of 0.25% that didn't change. In 2016 you decided you needed to use that saved up money for a big purchase so you cash the savings account out
Complete question is;
In 1986, a family member invested $100 each month into a savings account with an interest rate of 0.25% (that didn't change). In 2016, you decided you needed to use that saved up money for a big purchase, so you cash the savings account out.
How much money should be in the account using the FV formula?
Answer:
FV = $107.78
Step-by-step explanation:
We are given;
Present value; PV = 100
Interest rate; r = 0.25% = 0.0025
We are told the PV was in 1986 and In 2016 you decided you needed to use that saved up money .
This is a period of 30 years.
Thus, the number of compounding periods is n = 30
Formula for FV is;
FV = PV(1 + r)ⁿ
FV = 100(1 + 0.0025)^(30)
FV = $107.78
3. There are 156 students in an after-school program. The program director would like to split the
students into groups of equal sizes with no students left over. She wants at least 4 but no more
than 12 students in each group. Describe the possible number of groups and students in
each group.
Answer:
well you could do 26 groups of 6 people
Step-by-step explanation:
What is the length of the missing side of this triangle? *
Answer:
8.9
Step-by-step explanation:
- there are two given sides and its a right angle triangle so you can use pythagoras
- 12^2 = 8^2 + y^2
- rearrange
y = [tex]\sqrt{(12)^2 -(8)^2}[/tex]
y = 8.9
does the equation 4(2x+3)=16x+12-8x have one solution, infinitely many solutions, no solution, or two solutions.
Answer:
Infinite number of solutions
Step-by-step explanation:
Use distributive property to eliminate the parenthesis on the left:
8 x + 12 = 16 x + 12 - 8 x
combine like terms on the right:
8x+ 12 = 8 x + 12
subtract 12 from both sides
8 x = 8 x (notice both sides are identical)
subtract 8 x from both sides
0 = 0
This is a true statement that takes place for whatever x-value we use in the original equation. Therefore, the equation has infinite number of solutions (any real number "x")
3/2:1/4 as a unit rate
Answer:
25
Step-by-step explanation:
These two triangles are similar. What are a and b? Note: the two figures are not drawn to scale. Please help with this!!!
9514 1404 393
Answer:
a = 6b = 22.5Step-by-step explanation:
The ratio of smallest sides in the two triangles is ...
smaller / larger = 4/10
To find A and B, we write proportions involving corresponding side lengths.
__
Side A in the smaller triangle is ...
A/15 = 4/10
A = (4/10)(15) = 6
__
The ratio of larger to smaller is the inverse of the above ratio, so ...
B/9 = 10/4
B = (10/4)(9) = 22.5
Marc earns $45,000 per year. If he does not work for 2 months in a year, how much money would he earn?
Answer:
$37500
Step-by-step explanation:
45000 divided by 12 = 3750
3750 is how much he earns each month.
3750x2=7500
7500 is how much he earns in 2 months
45000-7500=37500
Answer:
37,500
Step-by-step explanation:
if he makes 45,000 a year, we need to find out how much he makes per month.
divide 45,00 by 12= 3750 per month
3750 times 2 months= 7500
45,000-7,500= 37,500
ahhh sorry i didnt realize someone else already answered while i was typing this
what is the difference of 1/5 - 3/4
Answer:
1/5 and 3/4 difference is —
-11/20
What is the value of -16 divided by 2.5
Divide the binomial by the monomial to find the quotient.
Answer:
9x²-36[tex]y^{5}[/tex]
Step-by-step explanation:
Answer this pleaseeee
Answer:
A) (5)^48
Step-by-step explanation:
They both equal 3.552713679E33.
Find the other endpoint of the line segment with the given
endpoint and midpoint: Midpoint = (8,-2) and Endpoint= (3,10).
Answer:The other endpoint is at ( − 4 , 3 )
Explanation:
The line segment passing through ( − 4 , 9 ) and ( − 4 , 6 )
is a vertical line with the midpoint 3
units below the first point.
The other endpoint must be 3
further units below the midpoint i.e. at ( − 4 , ( 6 − 3 )
Step-by-step explanation:
.............helppppppppppppppppppp
Answer:
what????????????????
Answer: I think its A
Step-by-step explanation: I think its A because it depends if its night for the light to flash on the window.
The distance traveled, D in feet, is a function of time, t, in seconds, with
D=f(t)= t 3 +1
Find f(10), f'(10), and the relative rate of change f'/f at t=10. Interpret your answers in terms of distance travele
Answer:
1001 m/s
300 [tex]m/s^2[/tex]
0.299.
Step-by-step explanation:
Given that:
[tex]D=f(t)=t^3+1[/tex]
[tex]f(10)[/tex] means putting the value of [tex]t=10[/tex] in [tex]f(t)[/tex].
[tex]f(10) = 10^3+1=1001[/tex] [tex]m/s[/tex]
To find [tex]f'(10)[/tex], we need to find [tex]f'(t)[/tex] first.
Differentiating the equation of Distance [tex]D[/tex] w.r.to [tex]t[/tex]:
[tex]f'(t) = \dfrac{d}{dt}(t^3+1)= 3t^{3-1}+1 = 3t^2[/tex]
[tex]f'(10) = 3(10)^2=300[/tex] [tex]m/s^2[/tex]
Relative rate of change:
[tex]\dfrac{f'}{f}\ at\ t = 10 \Rightarrow \dfrac{300}{1001} \approx 0.299[/tex]
What is the value of z in the equation 5(2z+4)
Answer: z = -2
Step-by-step explanation:
5(2z + 4) = 0
10z + 20 = 0 [distributive property]
10z = -20 [carry over the 20]
z = -2 [divide]
Which linear inequality is represented by the graph?
PLEASE HELP
Answer:
It would be c.
I hope that helps
Step-by-step explanation:
If you look at (0,0) you can see that if you go up two it will be right across second point.
pls help Eithan needs to divide theese base ten blocks (9 ten blocks and 6 one blocks)
HOW MANY WOULD BE IN EACH GROUP?
Answer:
carrot
Step-by-step explanation:
give me brainlyist i never got it pls bt i have snap if you want im a girl
Free Brainlyest for who says bababoi first
Answer:
bababoi .. yay I did something
Answer:
bababoi
Step-by-step explanation:
bababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoivbababoibababoibababoibababoibababoibababoibababoibababoivbababoibababoibababoibababoibababoibababoibababoibababoioibababoibababoivbababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoi
Which graph does NOT represent a function?
A)
A
B)
B
C)
С
D)
D
Answer:
(B)
Step-by-step explanation:
it is an undefined
whats5666778877 x 81 + 1
Answer: 459009089038
Step-by-step explanation: I smart for a 3yrs old kid. And I don't even need a diAper but my 17 yrs old sister does so she weirdo...
HEY, I also have good news. I JUST GOT POTY TRANED!! YA Boi.
Show how to find the following product using a diagram
1/4 × 2/3
Answer:
3/3
Step-by-step explanation:
What is the percent?
32/80 = %/100
Answer: 40% OUT OF 100
A pet shelter maintains a ratio of 5 cats to 8 dogs. If there are 117 total animals in the shelter, how many are dogs? Set up and solve a proportion.
Given that Jocelyn saved $60 in 8 weeks, predict the number of weeks it will take Jocelyn to save $90. Include in your explanation any assumptions that must be made in order to make the prediction. Enter your explanation in the space provided.
number of weeks: w is the x value, and the number of money saved: m is the y value. First, we need to find out how much she makes in 1 w and because k = y/x, we need to divide 60 by 8, which gives u 7.5, so she saves $7.50 every week Finally, we figure out the number of weeks it takes her to save $90, and to do that, we use the formula x = y/k. Using that formula, we get the expression $90/$7.50 or $90/$7.5. 90/7.50 = 12, so x = 12. It will take her 12 weeks to save $90. In order to check our answer, we can say that we didn't know the number of m she saved, but we do know how many weeks. To find a solution, we use the formula y = kx (the blank between kx means that we are multiplying). Using that formula, we get the equation 12 X 7.50. When we solve this equation, we get 90, and since it is the same answer as the real problem, that means the answer for the real problem is correct. (BTW sorry this is so long)
For a science project, Daniel planted 51 flower seeds. Of those seeds, 12 did not grow at all. Of the seeds that did grow, 2/3 of them grew green tomatoes. How many green tomatoes grew?
a) 12
b) 8
c) 26
d) 13
Answer:
C. 26
Step-by-step explanation:
According to the question,
Daniel planted 51 seeds.
12 seeds did not grow at all,
Therefore, the number of seeds that grew are 51-12= 39
Then, from the 39 seeds that grew, 2/3 of them are green tomatoes.
So, to find out how many green tomatoes grew, we solve
2/3 * 39= 26.
Therefore, the amount of green tomatoes are 26.