Jonathon has a collection of coins worth a total of $10.75. If he has one-fourth as many dimes as pennies, and two-thirds as many dimes as nickels, how many of each coin does Jonathon have?
The number of dimes, pennies and nickels are required.
The number of dimes is 50, pennies is 200 and nickels is 75.
Let the number of dimes be [tex]x[/tex]
From the question the number of dimes is one-fourth the number of pennies and two-thirds the number of nickels.
So,
The number of pennies is [tex]4x[/tex]
and number of nickels is [tex]\dfrac{3}{2}x[/tex]
1 nickel = 0.05$
1 penny = 0.01$
1 dime = 0.01$
Total value of the coins is $10.75
[tex]0.1x+0.05\times \dfrac{3}{2}x+0.01\times 4x=10.75\\\Rightarrow 0.215x=10.75\\\Rightarrow x=\dfrac{10.75}{0.215}\\\Rightarrow x=50[/tex]
The number of dimes is 50.
The number of pennies is [tex]4x=4\times50=200[/tex]
The number of nickels is [tex]\dfrac{3}{2}x=\dfrac{3}{2}\times50=75[/tex].
Learn more:
https://brainly.com/question/24875263
https://brainly.com/question/20842274
Maddie is making pineapple punch for her birthday party. The recipe says you need 3 cups of pineapple juice for every 4 cups of ginger ale. If she uses 16 cups of ginger ale, how much pineapple juice will she need?
Answer:
12 cups of pineapple juice for 16 cups of ginger ale.
Step-by-step explanation:
4+4+4+4= 16
3+3+3+3= 12
How many yards for 15 uniforms?
Answer: For fabrics with a nap and/or one-way designs, add 1/4 yard for each yard specified. For plaids, add the length of one plaid repeat for each yard specified.
Step-by-step explanation:
Juan drove to the shore and traveled 32 km in 2 hours. He stopped for 8 hours and contained driving 60 km arriving at his destination in 4 hours. What is his average speed?
Answer:
Step 1: The formula for distance is
Distance = Rate × Time
Total distance = 32 × 3 + 60 × 4 = 624
Step 2: Total time = 2 + 4 = 6
Step 3: Using the formula:
average speed formula
624/6 = 104
Step-by-step explanation:
Write the equation of a line perpendicular to the line 2x + 3y = 12 and passes through (9, -2). (fractions go in one box - use lower case letters)
Answer:
Step-by-step explanation:
Write the equation of the line perpendicular to 2x-3y=12 that passes through the point (16,-7)
Rewrite the equation as y = (2/3)x - 4 This has slope 2/3
A perpendicular line will have slope -3/2 so the equation of a perpendicuar line is y = -(3/2)x + c where c is a constant found from the fact that the line must go through point (16, -7).
-7 = -(3/2).16 + c
c = 24 - 7
c = 17
Hence perpendicular line has equation y = -(3/2)x + 17
I dont really understand this question
Answer:
B
Step-by-step explanation:
Answer:
A. A worker with 1700 hours of training is paid $40 per month
Step-by-step explanation:
Given : the table of hours of training and monthly pay
To find : meaning of h(40)=1700
Answer : here 40 is given under hours of training and 1700 is given under monthly pay.
So, h(40)=1700 means the workers with 40 hours of training is paid $1700 every month
Help me please I will give your brainliest
Answer:
1. not
2. repeats
3. problem
I think those are the answer to fill in the blank unless there is a word bank that you might have forgot to post.
Step-by-step explanation:
Answer:
1. ends
2. repeatedly continues
3.problem solving
A carton measures 200 cm by 100 cm by 100 cm.
The carton is to be completely filled with boxes.
Each box measures 50 cm by 20 cm by 20 cm.
Work out the number of boxes which can completely fill the carton.
Answer:
the answer is below
Step-by-step explanation:
multiply like this
L×b×hSimplify the ratio. Use values in terms of the smaller measurement units.
6 feet to 80 inches
Step-by-step explanation:
1 ft = 12 in
=>
6 ft = 12×6 = 72 in
so, the given ratio is
6 ft / 80 in = 72 in / 80 in = 9/10 in
Solve -2 < 2x + 4 < 12 for x
Answer:
[tex]-3<x<4[/tex]
Step-by-step explanation:
[tex]-2<2x+4<12[/tex]
We want to isolate [tex]x[/tex].
Subtract 4 from all sides:
[tex]-2-4<2x+4-4<12-4[/tex]
[tex]-6<2x<8[/tex]
Divide all sides by 2:
[tex]\frac{-6}{2} <\frac{2x}{2} <\frac{8}{2}[/tex]
[tex]-3<x<4[/tex]
Hope this helped.
Brainliest Question!!
Q1.) 5929 students are sitting in an auditorium in such a manner that there as are many students in a row as there are rows in the auditorium. How many rowsare there in the auditorium?
Answer:
77 rows
Explanation:As per the provided information in the given question, we have :
Total number of students sitting in the auditorium = 5929 studentsThere are as many students in a row as there are rows in the auditorium.We've been asked to calculate the number of rows in the auditorium.
Let us suppose the the number of rows be x. Then, the number of number of students in each row becomes x as there are as many students in a row as there are rows in the auditorium.
Now, we have to simply frame a linear equation to tackle this question. Total number of the students will be equal to the product of number of students in each row and the number of rows.
Writing it in the form of a linear equation,
[tex] \longrightarrow \sf{\quad {5929 = x \times x}} \\ [/tex]
As there are 5929 students sitting in the auditorium.[tex] \longrightarrow \sf{\quad {5929 = x^2}} \\ [/tex]
Now, put the square root symbol on both sides.[tex] \longrightarrow \sf{\quad {\sqrt{5929} = \sqrt{x^2}}} \\ [/tex]
Square root of x² is x since x × x is x².[tex] \longrightarrow \sf{\quad {\sqrt{5929} = x }} \\ [/tex]
Now, we have to find the value of √5929. By prime factorisation, 5929 = 7 × 7 × 11 × 11, make the pairs of the common factors and their product will be the square root of 5929 that is √5929 = 7 × 11 = 77.
[tex] \longrightarrow \quad\underline{\boxed{ \pmb{\frak{77 = x}} }} \\ [/tex]
Therefore, there are 77 rows in the auditorium.
please help me~~......
Step-by-step explanation:
vyo yesko solutions yeti matra xa
Cross products: what’s the value of the cross product?
Can someone please tell me the answer to this
Answer:
x equals to 5
jist cross multiply
HELP! Work out the question below.
Step-by-step explanation:
area of circle = πr²
radius ² = 9.15 = 83.72 (approx.)
now,
→ 22/7 × 83.72
→ 22 × 11.96 = 263.02 m²
therefore, area the centre circle is 263.02 according to nearest circle the area is 263 m².
hope this answer helps you dear..take care and may u have a great day ahead!
State whether the lines are parallel, perpendicular, coinciding, or neither: y=2.5x+3 and y=5/2x
Answer:
gok jhtgrfedcfrgtyhu57i86i8ujyhg
Step-by-step explanation:
f(x) =4 over x - 3
g(x) =x - 2 over x
(a) Express the inverse function f −1
in the form f ^-1 (x)
Step-by-step explanation:
[tex]f(x) = \frac{4}{x - 2} \\ g(x) = \frac{x - 2}{x} [/tex]
[tex] {f}^{ - 1} (x) ... \\ x = \frac{4}{y - 2} \\ y - 2 = \frac{4}{x} \\ {f}^{ - 1} (x) = \frac{4}{x} + 2[/tex]
[tex] {g}^{ - 1} (x)... \\ x = \frac{y - 2}{y} \\ xy = y - 2 \\ xy - y = - 2 \\ y(x - 1) = - 2 \\ {g}^{ - 1} (x) = \frac{ - 2}{x - 1} [/tex]
A contractor bought 10.8 ft2 of sheet metal. has used 3.5 ft2 so far and has 146$ worth of sheet metal remaining. The equation 10.8x-3.5x=146 represents how much sheet metal is remaining and the cost of the remaining amount. How much does sheet metal cost per square foot?
Answer:
A contractor bought 10.8 ft2 of sheet metal. has used 3.5 ft2 so far and has 146$ worth of sheet metal remaining. The equation 10.8x-3.5x=146 represents how much sheet metal is remaining and the cost of the remaining amount. How much does sheet metal cost per square foot?
There were ten tables with the same amount of chairs around it in the cafeteria. There were 5 more chairs lined up against the wall. There were 65 chairs in all. How many chairs were at each table?
Answer:
The answer is 325
Step-by-step explanation:
hope it helps<333
Answer: there were 6 chairs
Step-by-step explanation: 10x + 5 = 65
Find three consecutive odd integers whose sum is -255
Answer:
Step-by-step explanation:
If the sum of three consecutive odd integers is 255, then the three integers are 83, 85, and 87.
The sum of four consecutive integers is 390. Find the integers (Please show your work)
Answer:
The integers are 96, 97, 98, and 99
Step-by-step explanation:
first integer = x
second integer = x+1
third integer = x+2
fourth integer = x+3
(that what consecutive means, like 4, 5, 6, 7 are just adding 1 more each time
The sum (add them all up) is (=) 390 so
x+(x+1)+(x+2)+(x+3) = 390
4x+6=390
4x+6-6=390-6
4x=384
4x/4=384/4
x=96
x+1=97
x+2=98
x+3=99
The integers are 96, 97, 98, and 99
A hiker is 15 feet above sea level. A diver is 11 feet below sea level .What is the distance between them?
Answer:
15-11=4 feet
Step-by-step explanation:
Damon skateboards from his house to school 4 miles away. It takes him 20 minutes to get to school.
How many minutes will it take Damon to skateboard to his friend Stefan's house, which is 2 1/2 miles from school, if he travels at the same rate that he did from his house to school.
Answer:
about 12 1/2 minutes
each mile he went to school took him 5 minutes and if his friend's house is 2 1/2 miles away then 2.5x5= 12.5
======================================================
Work Shown:
20 min = 20/60 = 1/3 of an hour
distance = rate*time
d = r*t
4 mi = (x mph)*(1/3 hr)
4 = x*(1/3)
4*3 = x
x = 12 mph
Damon's speed is 12 mph
--------------
Now calculate the time it takes go travel to his friends house.
d = r*t
2.5 = 12*t
t = (2.5)/12
t = 25/120
t = (5*5)/(5*24)
t = 5/24
He takes 5/24 of an hour to go from school to Stefan's house.
Multiply by 60 to convert to minutes
(5/24)*60 = 12.5 minutes
help me please!
-3+|x-2| > 5
Answer:
x<-6 or x>10
Step-by-step explanation:
-3+|x-2|>5
add 3 to both sides
|x-2|>8
x-2>8
x>10
There are 2 answers because it is absolute value.
It can't be 10, so the only other option is -6.
|x-2|>8
|-6-2|=8
|-8|=8
Apply absolute rule. If |u| > a, u < -a
because one of the answers is -6, it has to be x<-6
Solve for x
will give brainliest and 5.0 star
Answer:
x = 10
Step-by-step explanation:
1. Because this is a right angle (an angle with 90°), 54 + 3x + 6 = 90.
2. (Solving equation above)
Step 1: Simplify both sides of the equation.
[tex](3x)+(54+6)=90[/tex] [tex]3x + 60 = 90[/tex]Step 2: Subtract 60 from both sides.
[tex]3x + 60 - 60 = 90 - 60[/tex] [tex]3x = 30[/tex]Step 3: Divide both sides by 3.
[tex]\frac{3x}{3} =\frac{30}{3}[/tex] [tex]x = 10[/tex]Step 4: Check if solution is correct.
[tex]54 + 3(10)+6=90[/tex] [tex]54+30+6=90[/tex] [tex]84+6=90[/tex] [tex]90=90[/tex]Therefore, x = 10.
Can someone please tell me is it correct?
Answer:
It is correct :)
Step-by-step explanation:
Write an equation in Point-Slope form for a line that passes through the points (-10,8) & (-20,-12)
surprise i need help again
the first one is the answer using the first ordered pair. the second is the answer using the second ordered pair.
If 5(1 - 2x) + 25 = 0, then x =
A. 20
B. 15
C. 3
D.-3
Answer:
C
Step-by-step explanation:
5-10x+25=0
5+25=10x
30=10x
x=3
i dont know the answer what is 2+2=
Answer: 4
Step-by-step explanation:
2 + 2 = 4 or II+II=IIII
Make sense?
Answer:
2+2=4
Step-by-step explanation:
That is like the easiest math problem ever .
Write 5x−y=14 in slope-intercept form.
Answer:
y=5x-14
Step-by-step explanation:
What is the measure of ∠ABC?
Answer:
not sure
Step-by-step explanation:
I'm not sure how to do this guys I am very sorry for the inconvenience
Step-by-step explanation:
brother or sister whoever you are, please try to post the full question.