Step-by-step explanation:
Let q be the number of quarters and d be the number of dimes.
We have q + d = 32 and $0.25q + $0.10d = $5.
=> 5q + 2d = 100 and q + d = 32
Therefore we get q = 12 and d = 20. (12 quarters and 20 dimes)
The number of coins of quarters and dimes will be 12 and 20, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
A collection of quarters and dimes has a total value of $5 and contains 32 coins.
Let 'x' be the number of quarters and 'y' be the number of dimes. Then the equations are given as,
x + y = 32 ...1
0.25x + 0.10y = 5 ...2
From equations 1 and 2, then we have
0.25 x + 0.10 (32 - x) = 5
0.25 x + 3.2 - 0.10 x = 5
0.15 x = 1.8
x = 1.8 / 0.15
x = 12
Then the value of the variable 'y' is given as,
12 + y = 32
y = 32 - 12
y = 20
The number of coins of quarters and dimes will be 12 and 20, respectively.
More about the solution of the equation link is given below.
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Use the distributive property to write the following expression as an equivalent algebraic expression.
−2(−4 + c)
(A) −2(−4c)
(B) 8 + c8 + c
(C) −6 − 2c−6 − 2c
(D) 8 − 2c
12. Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together?
Answer:
2 hrs 45 mins
Step-by-step explanation:
30min + 45min = 1hr 15min + 1hr 30min = 2hrs 45mins
Answer:
15 minutes
Step-by-step explanation:
[tex]\frac{1}{30}[/tex] + [tex]\frac{1}{45}[/tex] + [tex]\frac{1}{90}[/tex] = [tex]\frac{3}{90}[/tex] + [tex]\frac{2}{90}[/tex] + [tex]\frac{1}{90}[/tex] = [tex]\frac{6}{90}[/tex] = [tex]\frac{1}{15}[/tex]
All three can fill the pool in 15 minutes
Can someone please help with finding the domain and range
Answer:
Step-by-step explanation:
(0,75) , (15,0)
domain: (0,15)
range: (0,75)
Can anybody solve this? Just an easy question: ________ is 1/10 of (186.79 - 29.09). Round that answer to the nearest tenths and compare it to 15.7. Whichever number is bigger- add that to the difference between 34.45 and 12.6. Round that to the nearest whole number.
Given :
________ is 1/10 of (186.79 - 29.09). Round that answer to the nearest tenths and compare it to 15.7. Whichever number is bigger- add that to the difference between 34.45 and 12.6.
To Find :
The final answer.
Solution :
First we need to solve 1/10 of (186.79 - 29.09).
So, [tex]\dfrac{(186.79-29.09)}{10}= 15.77[/tex]
The equivalent of above expression is 15.77 which is greater than 15.7 .
So, we need to add 15.77 to the difference between 34.45 and 12.6 .
[tex]=( 34.45 - 12.6 ) + 15.77\\\\= 37.62[/tex]
Hanisha is travelling to another country.
She flies for 4 hours at an average speed of 925 km/h on one plane.
She then flies for 5 hours 15 minutes at an average speed of 968 km/h on a second plane.
What is the total distance, in km, she travelled by plane?
HELP
12x-6y=-6
4x-5y=4
substitute y in second equation in order two solve the system
Answer:
x=-(3)/(2)y=-2
Step-by-step explanation:
Is the inverse of the function shown below also a function? Explain your answer.
Answer:function
Step-by-step explanation:
The line passes the graph once
SAMPLE Answer:
If the graph passes the horizontal-line test, then the function is one-to-one. Functions that are one-to-one have inverses that are also functions. Therefore, the inverse is a function.
Please help me!
A survey of factories and
five north eastern states found that 10% of the 300 workers surveyed were satisfied with the benefits offered by their employees. The margin of error for the population proportion, rounded to the nearest hundredth of a percent, is +/- _____%
Answer:
± seventeen (17) or ± 5.67%.
Step-by-step explanation:
Miki has 104 nickels and 88 dimes. She wants to divide her coins into groups where each group has the same number of nickels and the same number of dimes. What is the largest number of groups she can have?
13
11
8
4
Answer:
8
Step-by-step explanation:
To find the largest number of groups she can have, find the largest number that can divide 104 and 88 evenly.
This number is 8, since 8 divides 104 to 13 and it divides 88 to 11.
This means each group will have 13 nickels and 11 dimes.
So, the answer is 8 groups.
Answer:
eight
Step-by-step explanation:
The curve xy = 11x + 5 cuts the line y = x + 10 at the points A and B. The mid-point of AB is the point C.
Show that the point C lies on the line x + y = 11.
Answer:
Please see the attached picture for the full solution.
9514 1404 393
Explanation:
Substituting the cut line into the curve equation, we have ...
x(x+10) = 11x +5
In standard form this is ...
x^2 -x -5 = 0
The sum of the two roots of this equation is the opposite of the x-coefficient*, so is -(-1) = 1. Then the midpoint between the points of intersection has an x-coordinate of ...
(root sum)/2 = 1/2
__
The midpoint y-coordinate will be the y-value on the cut line, so is ...
y = x + 10 = (1/2) +10 = 10.5
Then the midpoint of AB is C(0.5, 10.5). This is easily shown to lie on the line ...
x + y = 11
0.5 + 10.5 = 11
_____
* The factored form of a monic polynomial can be expanded to show this:
(x -a)(x -b) = x^2 -(a+b) +ab
That is, the sum of the roots a and b is the opposite of the x-coefficient.
Given the points A (-1,2) and B (7, 14), find the coordinates of the point P on directed line segment AB that partitions AB in the ratio 1:3.
Answer:
Now despite what you may believe, 1:3 is not 1/3 in this situation. In this case, it means "1 equal part to 3 equal parts", which is a total of 4 equal parts. In short, this question is to place point P 1/4 the distance from A to B.
Firstly, how far apart is -1 from 7 (the x-coordinates)? That would be 8 units. Multiply 1/4 by 8:
Next, how far apart is 2 from 8 (the y-coordinates)? That would be 6 units. Multiply 1/4 by 6:
Next, since from -1 to 7 you are increasing, add 2 to -1:
1 is your x-coordinate
Next, since from 2 to 8 you are increasing, add 3/2 to 2:
7/2 is your y-coordinate.
Putting it together, your answer is A. (1, 7/2)
Step-by-step explanation:
Four friends go hiking. They bring snacks, a compass, and 3 1/3
quarts of water. If they share the water equally, how many quarts will each person get?
Answer:
Step-by-step explanation:
\
Which statement is true?
The graph of y = logg(x-4) is the graph of y = log, (x) translated 4 units down.
The graph of y = log, (x) -4 is the graph of Y= log, (x) translated 4 units left
qThe graph of y= log, (x)+4 is the graph of y = log (x) translated 4 units up. O
The graph of y= log, (x+4) is the graph of y = log, (x) translated 4 units right.
Answer:
c
Step-by-step explanation:
The correct statement is,
⇒ The graph of y = log (x) + 4 is the graph of y = log (x) translated 4 units up.
What is Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
We have to given that;
To find the correct translation.
Now, Let the function is,
⇒ y = log x
After translated 4 units up, we get;
The correct transformation of the function is,
⇒ y = log x + 4
Thus, The correct statement is,
⇒ The graph of y = log (x) + 4 is the graph of y = log (x) translated 4 units up.
Learn more about the transformation visit:
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What is the solution to -4(8 - 3x)2 6x - 8?
Answer:
=312x2−832x−8
Step-by-step explanation:
Question 3 (0.5 points)
Jimmy ate breakfast at a diner. He ordered a pancake for $7.25 and an orange juice
for $2.35. The tax was 7.5%.
What is the amount of tax for Jimmy's meal?
$0.72
$72.00
$9.60
Answer:
0.72
Step-by-step explanation:
7.25+2.35=9.6
9.6÷100=0.096
0.096×7.5=0.72 the tax
Alyssa has saved nine quarters from each Car Wash he did over 7 days. It's Alyssa did two car washes, how many quarters does Alyssa have ?
Answer:
18 Quarters
Step-by-step explanation:
Question is a bit confusing and broad, but I think I understand it. It says that Alyssa gets 9 quarters from each car wash and that she did it for 7 days. If she does 2 car washes, then they should have made 18 quarters. This is because if she makes 9 quarters for each car wash, then for 2 car washes, she should make 18.
USE ALL THE WORK IT TAKES TO SOLVE THIS PROBLEM
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Solve the system of equations algebraically. Show all of your steps.
y=+ 2z
y=3z+ 20
Answer:
x^2 + 2x = 3x+20
-3x
x^2 - 1x = 20
- 20
x^2 -1x -20=0
(x-5)(x+4)
x-5 =0 or x+4=0
x = 5 or x= -4
g(5) if g(x) = -2x2 - 4x + 1
Answer:
18
Step-by-step explanation:
PLEASE PLEASE HELP ME!!!!!!! You buy a new television for $3,100. The value of the television decreases by 12 percent every year. How much is the television worth after 6 years?
Answer: The answer is $1439.65
Step-by-step explanation:
I don't know the exact formula but all you do is take 3100 find what 12% of it is then subtract that number, and so on and so forth. I.E 12% of 3100 is 372. 3100-372=2728. 12% of 2728......
You evaluated an expression using X=6 and y=9. You correctly got an answer of 105. Which expression did you evaluate?
A. 3x+6y
B. 5x+10y
C.6x+9y
D. 10x+5y
Answer:
D: 10x + 5y
Step-by-step explanation:
If we substituted the x and y values in all of these equations, these are the equations and sums we would get:
A: 18 + 54 = 72
B: 30 + 90 = 120
C: 36 + 81 = 117
D: 60 + 45 = 105
Because we now know all of the sums for these equations, we can rule out A, B, and C because they don't have the correct answer that we got when we evaluated the expression which was 105. The only possible option would be D.
(sorry if this is confusing)
Which compound inequality does represent the phrase all real numbers that are greater than -7 and less than 4?
Answer: Required compound inequality : -7<x<4
Step-by-step explanation:
Let x be an arbitrary real number.
Given phrase: All real numbers that are greater than -7 and less than 4.
i.e. x>-7 and x<4 [We use use '<', '>' signs to show less than or more than]
Combined inequality : -7<x<4
Hence, the required compound inequality : -7<x<4
Find the principal.
Annual rate of interest = 8%
Period = 5 years
Total interest= 2900 rupees
Principal = ___ rupees
Nine more than seven times a number, n, gives the same value as one more than the square of the number. Write an equation and solve it to find the number.
Answer:
7n + 9 = n² + 1
n = -1, 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
FactoringSolving quadraticsStep-by-step explanation:
Step 1: Set up Equation
"Nine more" is + 9
"Seven times a number" is 7n
"One more" is + 1
"Square of the [same] number" is n²
7n + 9 = n² + 1
Step 2: Solve for n
Subtract 7n on both sides: 9 = n² - 7n + 1Subtract 9 on both sides: 0 = n² - 7n - 8Factor quadratic: 0 = (n - 8)(n + 1)Solve roots: n = -1, 8Determine whether the graph represents a proportional relationship. (4 points) A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 17. Four points are shown on the graph on ordered pairs 0, 4 and 2, 8 and 3, 12 and 4, 16. These points are joined by a line. The label on the x-axis is Number of boats. The title on the y-axis is Number of passengers. a Yes, it is a proportional relationship because the graph goes through the origin b No, it is not a proportional relationship because the graph does not go through the origin c Yes, it is a proportional relationship because the graph is a straight line d No, it is not a proportional relationship because the graph is not a straight line
Answer:
c Yes, it is a proportional relationship because the graph is a straight line (and passes the vertical line test)
Step-by-step explanation:
Answer:
b ( No, it is not a proportional relationship because the graph does not go through the origin )
Step-by-step explanation:
Because it does not start at 0,0
what is the value for x?
Answer:
x= 46
Step-by-step explanation:
85 + 53 = 138
180 - 138 = 42
42 + 80 = 122
180 - 122 = 58
58 + 76 = 134
180 - 134 = x
x = 46
Who knows the answer to do this with full work
Answer:
Step-by-step explanation:
Can anyone please help me with these sums? I need it fast.
Thanks,
A number decreased by 0.37 times the number is 12.6 Find that number.
Answer:
Answer below, however this question is worded weirdly
Step-by-step explanation:
x(x - 0.37 ) = 12.6
simplify the equation
x^2 - 0.37x = 12.6
x^2 - 0.37x - 12.6 = 0
Diego is 6 feet tall. There are approximately 2.54 centimeters in 1 inch. Which measurement is closest to Diego height in centimeters.
Answer:
182.88
Step-by-step explanation:
12x6=72
2.54x72
(Vote me brainliest)
WHAT IS THE LINE OF BEST FIT FOR THE FOLLOWING DATA (1,3) (2,0) (5,-8) (9, -25) . WRITE YOUR ANSWERS IN THE FORM OF Y= AX+ B
Answer:
3.471 + 7.2516 x
Step-by-step explanation:
Given the data:
(1,3) (2,0) (5,-8) (9, -25) .
X:
1
2
5
9
Y:
3
0
-8
-25
The line of best fit for the data given can be obtained using an online regression calculator :
The equation of best fit for the data is thus;
Best fit equation; y = -3.471 + 7.2516x
Intercept = - 3.471 ;
Slope = 7.2516
