Answer:
35 dimes and 60 nickels
Step-by-step explanation:
let d = # of dimes and n = # of nickels
We know that Timmy has a total of 95 coins, consisting of dimes and nickels
So d + n = 95
The total value of his bank is $6.50
A dime is worth $0.10 and a nickel is work $0.05
So 0.10d + 0.05n = $6.50
Note that we've just created a system of equations that we can solve
We have the two equations
0.10d + 0.05n = 6.50 and d + n = 95
There are many different methods we can use to solve this system but the easiest way in this situation is probably going to be the substitution method.
First we are going to want to rearrange the terms of the second equations so that one of the variables are defined.
d + n = 95
- subtract d from both sides -
n = 95 - d
We now defined "n"
Now that we have defined one of the variables we can plug in ( or substitute ) the value of it into the other equation. Once we substitute it we can solve for the other variable.
0.10d + 0.05n = 6.50
n = 95 - d
0.10d + 0.05(95 - d) = 6.50
we now solve for d
0.10d + 0.05(95 - d) = 6.50
step 1 distribute the 0.05
0.05 * 95 = 4.75 and 0.05 * -d = -0.05d
0.10d + 4.75 - 0.05d = 6.50
step 2 combine like terms 0.10d - 0.05d = 0.05d
0.05d + 4.75 = 6.50
step 3 subtract 4.75 from both sides
0.05d = 1.75
step 4 divide both sides by 0.05
0.05d / 0.05 = d and 1.75 / 0.05 = 35
d = 35
Now that we have found the value of one variable we can plug it into one of the equations and solve for the other variable ( note that the equation that we use does not matter, we will acquire the same answer )
d + n = 95
d = 35
35 + n = 95
subtract 35 from both sides
n = 60
We can conclude that he has 35 dimes and 60 nickels
708.97 as a fraction
What is the experimental probability of spinning the given result? Round your answer to the nearest hundredth if necessary.
Outcome
A
B
C
D
Frequency
20
11
14
30
C
a.
0.14
c.
0.81
b.
1
d.
0.19
Answer: Option 'c' is correct.
Step-by-step explanation:
Since we have given that
Number of times the spinner spun = 75
Outcomes Frequency
A 20
B 11
C 14
D 30
We need to find the experimental probability of spinning an "A" :
so, Probability of spinning an A is given by
Probability of getting an A is 0.27.
Hence, Option 'c' is correct
please mark me brainiest i am almost an expert!!
Solve 2x2 + 20x + 8 = 0 by completing the square.
a. x = –5 + √17, x = –5 √–17
b. x = –5 + √21, x = –5 –√21
c. x = 5 + √21, x = 5 –√21
d. x = 5 + √17, x = 5 –√17
Answer:
Answer B:
Step-by-step explanation:
just took the test)))):
the answer: B
ok done. Thank to me :>
Help please !!!!!!!!
Answer:
yes
Step-by-step explanation:
yes, they are congruent for the AAS rule ( angle angle side)
write an equation in slope intercept form of the line that passes through the given points -4,9 -2,4 0,-1 2,-6 PLS HELP ILL GIVE BRAINLY TO WHOEVER IS RIGHT
Answer:
y=-2/5X-12
Step-by-step explanation:
M=x2-x1/y2-y1
= -2-(-4)/4-9
= 2/-5
C was given when u received the point (0, -12)
so C is -12
Answer:
y = -5/2x - 1
Step-by-step explanation:
First, we will figure out the slope. We will use the points (0, -1) and (2, -6). To do this, we look at the y values, -1 and -6, and we look at their rate of change. To get to -6 from -1 we subtract 5, or add -5. Now look at x: 0 and 2. To get from 0 to 2, we add 2. Our slope is [tex]\frac{-5}{2}[/tex].
We can use the point (0, -1) because that's our y-intercept. Your y-intercept is the value of y when x is equal to 0. Now, we put our slope and y-intercept into the slope intercept equation:
y = mx + b: where b is the y-intercept and m is the slope
y = -5/2x - 1 is your answer
Hope this helps! :D
find the equation of the line with slope of 2 passing through (3,1)
Answer:
y = 2x - 5
Step-by-step explanation:
Lily needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3.5 hours and charged her $159 for parts. The total was $456.50. Write and solve an equation which can be used to determine x x, the cost of the labor per hour.
The equation to represent the problem is written as
$456.50 = 3.5x + $159
the cost of the labor per hour is $85.
How to determine the cost of the labor per hourLet x be the cost of the labor per hour.
The technician worked on the computer for 3.5 hours, so the labor cost would be 3.5x.
The total cost, including the labor and parts, was $456.50.
So, we can set up an equation to represent the total cost:
Total cost = Labor cost + Parts cost
$456.50 = 3.5x + $159
Solving for x:
Subtract $159 from both sides:
$456.50 - $159 = 3.5x
$297.50 = 3.5x
Finally, divide both sides by 3.5 to find the value of x:
x = $297.50 / 3.5
x = $85
Therefore, the cost of the labor per hour is $85.
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identify the x- and y- intercepts for the line: -3x+3y=27
Step-by-step explanation:
-3x + 3y = 27
-x + y = 9
y = x + 9
so the y-intercept is 9 (y value when x =0).
and as point (0, 9)
the x-intercept is the x value when y = 0 :
0 = x + 9
x = -9
and as point (-9, 0)
I need help. What is the slope?
please help i'm stuck and it's a unit test if correct i will give brainiest
Which inequality represents this statement?
A number is no more than 5.
a. n≥5
b. n<5
c. n>5
d. n≤5
Answer:
d. n≤5
Step-by-step explanation:
This is the answer
Answer:
D) n≤5
Step-by-step explanation:
No more than 5 means that the number cannot exceed 5, but it's ok to have any number less than 5 or equal to 5. So, this means that D is correct.
8x - 2y = - 8 5x - 4y = 17
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
( − 3 , − 8 )
Equation Form:
x =- 3 , y = − 8
Step-by-step explanation:
8 x 1/2=4 simplified
Answer:
Step-by-step explanation:
8➗2=4
since 1/2 is divinding
Marco is five years less then twice hi sister Leah's age. Their mother is 14 years older than Marco and Leah's combined ages. If their mother is 48 years old, how old is Marco?
Answer:
Marco is 21
Step-by-step explanation:
Let the sister's age = x
Marco's age = 2*x - 5
x + 2x - 5 + 14 = 48 Combine the left side of the equation.
3x + 9 = 48 Subtract 9 from both sides
3x = 48 - 9
3x = 39 Divide by 3
x = 39/3
x = 13
So the sister is 13
Marco = 2x - 5 = 2*13 - 5
Marco = 21
There are 5 groups of 5 pencils. Which number sentence can you use to find how many pencils there are in all
Answer:
5x5= 25
Step-by-step explanation:
A class has $140 for tickets to a science museum. The teacher writes $140÷10=14. Alma says that tickets are $14 each. Mohamed says that $14 students are going on the trip. Who is correct?
Alma was definitely correct to say that the tickets are $14 each.
The total amount in dollars the class have for tickets to the science museum
is $140.
The teacher writes as follows:
140 ÷ 10 = 14Alma says the tickets are $14 each.
Mohammed says that 14 students are going for the trip
The teacher divided 140 by 10. This means the number of student in the class is 10 not 14 as Mohammed enunciated.
The teacher divided the total amount available for the ticket($140) by the number of student in the class(10). Then the quotient ($14) is the amount in dollars which each student will pay for the ticket to the science museum.
Therefore, Alma was definitely correct.
learn more about algebra here: https://brainly.com/question/11455464?referrer=searchResults
Admission to the gymnastics meet was $2.40 for adults and $1.25 for students. If 540
tickets were sold for a total of $934.90, how many tickets of each were sold? (i’ll give brainliest just answer within the next 15 mins pls!!)
Answer:
hi friends I need help with the following me
Which statement is true about the equation f(x)=g(x) given f(x)=2x+3 and g(x)=x^2? please help
Answer:
x=3 and x=-1
Step-by-step explanation:
If f(x)=g(x), then 2x+3=x^2:
x^2-2x-3=0
(x-3)(x+1)=0
x=3 and x=-1
We can conclude that the statement:
There are values of x for which f(x) = g(x)" is true.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To determine which statement is true about the equation f(x) = g(x) given f(x) = 2x + 3 and g(x) = x²,
We can substitute the expressions for f(x) and g(x) into the equation and simplify:
f(x) = g(x)
2x + 3 = x^2
Now we have a quadratic equation.
We can rearrange it to standard form and solve for x using the quadratic formula:
x² - 2x - 3 = 0
a = 1, b = -2, c = -3
x = (-b ± √(b² - 4ac)) / 2a
x = (2 ± √(16)) / 2
x = (2 ± 4) / 2
x = -1 or x = 3
Therefore,
The equation f(x) = g(x) is true for some values of x, namely x = -1 and x = 3.
Thus,
Based on this, we can conclude that the statement "There are values of x for which f(x) = g(x)" is true.
Learn more about functions here:
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If total employee benefits are calculated as a percentage of their gross pay whitch of the following employees receive the largest percentage of their gross pay in employee benefits
The employee that receives the largest percentage of their gross pay in employee benefits is Marcel.
The percentage of employee benefits to total gross pay for each worker has to be determined.
Percentage = (total job benefits / gross pay) x 100
Emily: (33,600 / 32,600) x 100 = 103.07%
Jack: (34,700 / 33,700) x 100 = 102.97%
Judy: (33,900 / 33,400) x 100 = 101.5%
Marcel: (34,000 / 32,900) x 100 = 103.43%
A similar question was answered here: https://brainly.com/question/25764815
Please find attached a complete question
Archie and Michael are helping their friend George move the washers and dryers from his laundromat to a larger building. Archie's truck is carrying three washers and four dryers that have a combined mass of 1260 kg Michael's truck is carrying two washers and three dryers that have a combined mass of 880 kg.
How much does one of George's washers weigh?
Answer:
A
Step-by-step explanation:
Yes
I could not find the answer so I guessed and got it right here you go
Answer:
u can use the scientific calculator to answer this question easily.
Step-by-step explanation:
Find the equation that has a slope of -2 and passes through the point (0,4)
Answer:
y=-2x+4
Step-by-step explanation:
equation: y-y1=m(x-x1)
x1=0,y1=4,m=-2
y-4=-2(x-0)
y-4=-2x
y=-2x+4
How do you write 6.6 × 100 in standard form?
Answer:
660
Step-by-step explanation:
Move the decimal point on the 6.6 right by 2 spaces, and left 2 spaces on the 100:
From 6.6 × 100
to 660. × 1.00
660
guyssss please help me with this maths problem it's from coordinates I hope you will help me I literally need this one pls will give 8 points
Answer:
find the perpendicular of the angle of pole
I need help with this question
Answer:
30.75 hours.
hope it helps, so may i have my brainliest?
Step-by-step explanation:
20.5 * 1.5 = 30.75
Peggy earned $20 for each lawn she mowed last summer. This summer, she raised her price to $23 per lawn. What is the percent increase of Peggy’s charges?
Answer:
15 percent
Step-by-step explanation: You will substract the new value from the old value.
23-20
Now you will get the difference between them and divide that by the original amount.
3/20
This will equal 0.15 in which you now multiply by 100
15 percent
(-9z + 8) + (-3z - 6)
Answer:
-12z + 2
Step-by-step explanation:
yeah-ya........ right???
On her multiple choice math test, 1720 of Lydia's answers are correct. What is the ratio of correct to incorrect answers for Lydia on her test?
Answer: [tex]\frac{17}3}[/tex] or 17:3
Step-by-step explanation:
Since Lydia got 17 out of 20 questions correct, that means she got 3 out of 20 incorrect. To get the ratio of correct (17) to incorrect (3) answers, we can simply divide the two numbers as follows:
[tex]\frac{17}3}[/tex] or 17:3
Since this ratio is already in simplest terms, this is the final answer.
Ms. Rowlen went Black Friday shopping and she bought a flat screen TV that originally costs $259.00. She used her super savings coupon of 45%, how much did Ms. Rowlen pay for the tv?
Answer:
142.55
Step-by-step explanation:
Cooper drove his car for 2 hours at a constant speed of 60 miles per hour and then for another 30 minutes at a constant speed of 40 miles per hour. How far did Cooper drive?
100 miles
170 miles
180 miles
160 miles
Answer:
None of the answer choices show the correct answer.
The actual answer is 140 miles.
Step-by-step explanation:
Since Cooper drove 60 miles per hour for 2 hours, that means that he drove 120 miles for the first 2 hours.
60 * 2 = 120
Cooper then drove for another 30 minutes at a speed of 40 miles per hour.
30 minutes is half of and hour so we need to divide the 40 miles by 2.
40 / 2 = 20
Now we just have to add them together.
120 + 20 = 140
So the answer is 140 miles.
Hope this helps! :)
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If you change something about an atom, you change the type of element it makes.
A. True
B. False
No links
Answer:
B
Step-by-step explanation:
Depends on what you change. If you change the number of electrons or neutrons, it will still be the same element. It will just become a charged ion or an isotope respectively. If you change the number of protons, it will become a different element.
Hope that helps
