Answer:
25 dimes
Step-by-step explanation:
Given
Coins: Nickels (N), Quarters (Q) , and Dimes (D)
$0.05 = 1 nickel, $0.10 = 1 dime and $0.25 = 1 quarter
So, the amount implies:
[tex]0.05N + 0.10D + 0.25Q = 5.25[/tex]
The number of coin implies:
[tex]N + D + Q = 48[/tex]
and
[tex]N = 7 + Q[/tex]
Required
Determine the number of Dimes
[tex]0.05N + 0.10D + 0.25Q = 5.25[/tex]
[tex]N + D + Q = 48[/tex]
[tex]N = 7 + Q[/tex]
Substitute 7 + Q for N in the first and second equation
[tex]0.05N + 0.10D + 0.25Q = 5.25[/tex]
[tex]0.05(7 + Q) + 0.10D + 0.25Q = 5.25[/tex]
[tex]0.35 + 0.05Q+ 0.10D + 0.25Q = 5.25[/tex]
Collect Like Terms
[tex]0.10D + 0.25Q+0.05Q = 5.25 - 0.35[/tex]
[tex]0.10D + 0.30Q = 4.90[/tex] ----- (1)
[tex]N + D + Q = 48[/tex]
[tex]7 + Q + D + Q = 48[/tex]
Collect Like Terms
[tex]D + Q + Q= 48 - 7[/tex]
[tex]D + 2Q= 41[/tex]
Make Q the subject
[tex]2Q = 41 - D[/tex]
[tex]Q = \frac{41}{2} - \frac{D}{2}[/tex]
[tex]Q = 20.5 - 0.50D[/tex]
Substitute 20.5 - 0.50D for Q in (1)
[tex]0.10D + 0.30Q = 4.90[/tex]
[tex]0.10D + 0.30(20.5 - 0.50D) = 4.90[/tex]
[tex]0.10D + 0.30*20.5 - 0.30*0.50D = 4.90[/tex]
[tex]0.10D + 6.15 - 0.15D = 4.90[/tex]
[tex]0.10D - 0.15D = 4.90 - 6.15[/tex]
[tex]-0.05D = -1.25[/tex]
Solve for D
[tex]D = \frac{-1.25}{-0.05}[/tex]
[tex]D = 25[/tex]
Hence, there are 25 Dimes
Rate of change and unit rate basically
mean the same thing.
false or True?
Answer: yes they are the same
5/9 % of a quantity is equal to what fraction of the quantity?
Answer: 5/9
Step-by-step explanation:
HELPPPPPP!!!! PLZZZ!!! (all three answers) ill give brain thing
Combine like terms
7a^2+ 10a - За - 2а2^2
Answer:
5a^2+7a
Step-by-step explanation:
You combine things based off the variable and exponent. So if they have the same variable and exponent, you put them together. 7-2=5 and 10-3=7 so your answer is 5a^2+7a
Finding the Vertex What is the vertex of the quadratic function f(x) = (x – 8)(x – 2)? (,)
Answer:
vertex = (h, k) = (5, -9)Step-by-step explanation:
[tex]f(x) = (x-8)(x-2)\quad\implies\quad x_1=8\,,\ \ x_2=2\\\\ h=\dfrac{x_1+x_2}2=\dfrac{8+2}2=5\\\\k=f(h)=(5-8)(5-2)=-3\cdot3=-9[/tex]
Barry is lifting one end of a post so that it will be perpendicular to the ground. He has already lifted it 49° from the ground, but needs a friend to help with the
remaining amount. How many more degrees must the pole be lifted?
O A. 49
OB. 131
O C. 41°
O D. 31°
PLEASE HELP PLEASE 10 POINTS!!
Answer:
a
Step-by-step explanation:
What is the slope.please help
(-2,-11) and (-16,15)
Answer:
-13/7
is the slope for m I believe
Answer:
26/-14
Step-by-step explanation:
m=y2-y1/x2-x1
15-(-11)=26
(-16)-(-2)=(-14)
26/-14
hope this helps :3
if it did pls mark brainliest
Start with the top figure. Which transformation was used to create the pattern?
The transformation that was used to create the pattern is rotation. The correct option is A, rotation.
What is the transformation in logic?If two formulae are logically identical, either one may replace the other in any well-formed context without changing anything's truth value or inferential qualities. This is a fundamental property of logic.
The given figure in the top is needed to be transformed such that the pattern given below is produced. Therefore, if we observe the figure at the top and the pattern, then it can be seen that the given figure is rotated by 90° to create the given pattern. The pattern will be formed.
Hence, the transformation that was used to create the pattern is rotation.
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Find the units of displacement of the point (4,2) to get the image of (7,7). Chapter (transformation) (coordinates) (translation).
Answer:
translation (3 right, 5 up)
Step-by-step explanation:
A ship anchored in a port has a ladder which hangs over the side. The length of the ladder is 200cm, the distance between each rung in 20cm and the bottom rung touches the water. The tide rises at a rate of 10cm an hour. When will the water reach the fifth rung?
Bakugou here:
Answer:
The tide raises both the water and the boat so the water will never reach the fifth rung.
Step-by-step explanation:
Brainlyest??!!
Maggie bought a pound of bananas and 4 boxes of cereal for $10.11. If each box of cereal cost $2.40, what was the price of a pound of bananas? $0.51 $0.61 $1.51 $2.91 I WILL GIVE YOU 23 POINTS!!!! PLEASE ANSWER FAST AND CORRECTLY!
Answer: the answer is 0.51
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Howie's hero his brother, has a beard that grows at a rate of 0.075 inches a week. how how many inched will it grow after 12 weeks?
Answer:
0.9 of an inch
Step-by-step explanation:
Answer:
His beard will be 0.9 inches long after 12 weeks.
Step-by-step explanation:
0.075 x 12 = 0.9
in scientific notation , 8,599,000,000=8.599.*10^z what is the value of z
Answer:
6
Step-by-step explanation:
The value of z is the number of zeros in the number, which is 6. Hope this helped!
If im born in July 13th, 2007...how old will i be in 2025?
Answer:
18 years 0 months 0 days
Step-by-step explanation:
or 216 months 0 days
or 939 weeks 2 days
or 6,575 days
or 157,800 hours
or 9,468,000 minutes
or 568,080,000 seconds
Answer:
you will be 18!
Step-by-step explanation:
So if you are born In 2007 add 3 years to that. Now it's 2010 add 10 years to that. Now it is 2020. Now just add another 5 years to that and you get- 18!
What is 50 percent of 62?
0.31
3.1
31
310
Answer:
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 62 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 62 is 100%, so we can write it down as 62=100%.
4. We know, that x is 50% of the output value, so we can write it down as x=50%.
5. Now we have two simple equations:
1) 62=100%
2) x=50%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
62/x=100%/50%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 50% of 62
62/x=100/50
(62/x)*x=(100/50)*x - we multiply both sides of the equation by x
62=2*x - we divide both sides of the equation by (2) to get x
62/2=x
31=x
x=31
now we have:
50% of 62=31
50 percent of 62 is equal to 31. the correct answer is option C) 31.
To convert a number to a percentage, you typically multiply the number by 100 and add the percentage symbol (%).
To find 50 percent of 62, we can calculate it by multiplying 62 by 0.50 (which is equivalent to 50 divided by 100).
62 * 0.50 = 31
Therefore, 50 percent of 62 is equal to 31.
So, the correct answer is option C) 31.
Options A) 0.31, B) 3.1, and D) 310 are not correct as they either incorrectly place the decimal point or exaggerate the value by orders of magnitude. The accurate value is 31.
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Help please -?
An answer and an explanation to understand would be helpful
Answer:
A c b
Step-by-step explanation:
A
2. Kevin asked Olivia what parallel lines are. Olivia responded, "They are lines that never
intersect.
What important piece of information is missing from Olivia's response?
A. The lines must be straight.
B. The lines must be coplanar.
C. The lines can be noncoplanar.
D. The lines for four right angles.
If A= 1, Be= 7, then ADD=?
Answer:
D or DD was not given any factor, but A was given which is 1, ADD= 1 multipltied by D
Based on the diagram, which expresses all possible lengths of segment AB?
AB = 25
27 81
Answer:B
Step-by-step explanation:
27 < AB < 81 expresses all possible lengths of segment AB
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
The sum of the lengths of any two sides of a triangle is greater than the length of the third side (Triangle Inequality Theorem)
So AC+BC>AB
27+54>AB
81>AB
AB<81
27+AB>54
AB>54-27
AB>27
54+AB>27
AB>-27
Hence, 27 < AB < 81 expresses all possible lengths of segment AB
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Based on the diagram, which expresses all possible lengths of segment AB?
AB = 25
27 < AB < 81
AB = 85
AB< 27 or AB > 81
John went to the store and bought a $5.00 magazine and four erasers. If he spent a total of $25.00, how much did each eraser cost?
Answer:
Each eraser costed 5 dollars
Step-by-step explanation:
25.00 - 5.00= 20.00 and 20.00 ÷ 4=5 and 5x4=20
Find the area of the shape shown below.
Answer:
Step-by-step explanation:
44.5
Answer:
42 units²
Step-by-step explanation:
A = [tex]\frac{(1+6)}{2}[/tex] (12) = 42 units²
A box contains 48 marbles.
1/3 of them are red.
1⁄2 of them are blue
The rest are green?
How many are green marbles?
Answer:
8
Step-by-step explanation:
1/2 of 48 marbles is 24
1/3 of 24 is 8
hope this helps
this is pretty easy
two step equation!!
Answer:
Step 1: Simplify both sides of the equation.
z
3
−8=−4
1
3
z+−8=−4
1
3
z−8=−4
Step 2: Add 8 to both sides.
1
3
z−8+8=−4+8
1
3
z=4
Step 3: Multiply both sides by 3.
3*(
1
3
z)=(3)*(4)
z=12
Answer:
z=12
Step-by-step explanation:
0.67 as a fraction
A) 67/10,000
B) 67/1,000
C) 67/100
D) 67/10
Answer:
C
Step-by-step explanation:
Shelila had $4.75 to buy pencils for an art class and each pencil costs 89c. How much pencils will she have?
Answer:
5 pencils
Step-by-step explanation:
4.75 / 0.89 = 5.33
Since you can't buy 1/3 of a pencil, Shelila can only buy up to 5 pencils
x - y = 1
Convert the equation from standard form to slope-intercept form.
Answer:
y=x-1
Step-by-step explanation:
The equation is currently in standard form which is a+b=y and slope-intercept is y=mx+b where m is the slope and b is the y-intercept. To change the form we must move the terms around using Properties of Equality.
First, subtract 1 from both sides
x-y-1=1-1
x-y-1=0
Then, add y to both sides
x-y-1+y=0+y
x-1=y
So that is the equation in slope-intercept form with a slope of 1 and a y-intercept of -1.
Answer:
y=x-1
Step-by-step explanation:
It is y=x-1 because first when we do ANYTHING first. We leave the y on the left side of the equation, since the slope y=mx+b has the y always on the left side. So we subtract x from both sides and we get -y=-x+1. We are NOT DONE yet, so after this, we divide both sides by -1. Why? This is because you cannot have a negative y. Dividing both sides by -1 you finally get y=x-1. If this is trouble some to read, I will also put how to solve the problem down below. :)
Let's solve for y.
x−y=1
Step 1: Add -x to both sides.
x−y=1+−x
−x
−y=−x+1
Step 2: Divide both sides by -1.
−y/ −1 = −x+1 /−1
y=x−1
Answer:
y=x−1
What is the answer to answer to 7m-3m-6<6?
Answer:
m<3
Step-by-step explanation:
This the answer to the equation.
Which point is a solution to the inequality shown in this graph?
If m = 3 and n = 2, then m 2 - n 2 is equal to _____. 2 5 1 13
Answer:
6-4=2
Step-by-step explanation:
3x2=6 2x2=4
what is 2 over 3 divided by 4 over 5
Answer:
it is .8333333333 and more 3's forever
Step-by-step explanation:
Answer:1/2
Step-by-step explanation: