Answer:
[tex]63[/tex]
Step-by-step explanation:
Let number of nickels be [tex]x[/tex]
Number of dimes be [tex]y[/tex]
Number of quarters be [tex]z[/tex]
Total number of coins is [tex]185[/tex]
[tex]x+y+z=185[/tex]
Number of dimes is 5 more than quarters
[tex]y=5+z[/tex]
[tex]x+(5+z)+z=185\\\Rightarrow x+2z=180\\\Rightarrow x=180-2z[/tex]
Amount of money in the jar is $25.25
[tex]0.05x+0.1y+0.25z=25.25\\\Rightarrow 0.05x+0.1(5+z)+0.25z=25.25\\\Rightarrow 0.05x+0.5+0.1z+0.25z=25.25\\\Rightarrow 0.05x+0.35z=24.75[/tex]
[tex]0.05(180-2z)+0.35z=24.75\\\Rightarrow 9-0.1z+0.35z=24.75\\\Rightarrow 9+0.25z=24.75\\\Rightarrow z=\dfrac{24.75-9}{0.25}\\\Rightarrow z=63[/tex]
[tex]y=5+z=5+63\\\Rightarrow y=68[/tex]
[tex]x=180-2z=180-2\times 63\\\Rightarrow x=54[/tex]
So, the number of quarters is [tex]63[/tex].
Answer:
63 is the correct answer :)
Step-by-step explanation:
Which figure could be the result of dilating this rectangle with a scale factor between 0 and 1? On a coordinate plane, a rectangle has points (0, 0), (0, 3), (6, 3), (6, 0).
On a coordinate plane, a rectangle has points (0, 0), (0, 1), (2, 0), (2, 1).
On a coordinate plane, a rectangle has points (0, 0), (0, 4), (8, 4), (8, 0).
On a coordinate plane, a rectangle has points (0, 0), (0, 1), (4, 1), (4, 0).
On a coordinate plane, a rectangle has points (0, 0), (0, 2), (8, 2), (8, 0).
I HAVE 30 MINUTES LEFT ON A TIMED ASSIGNMENT!!!
9514 1404 393
Answer:
(a) On a coordinate plane, a rectangle has points (0, 0), (0, 1), (2, 0), (2, 1)
Step-by-step explanation:
Every point coordinate of the dilated figure will be smaller by the same factor.
Looking at the original (0, 3) coordinate, we find that possible answer choices include ...
A (0, 1) has a scale factor of 1/3
B (0, 4) has a scale factor greater than 1
C (0, 1) has a scale factor of 1/3
D (0, 2) has a scale factor of 2/3
__
Looking at the rest of the points in the answer selections, we find that the scale factors in choices C and D are not consistent from one point to another (or even within the same point). Those choices must be rejected.
In selection A, the image points are listed out of order, tending to confuse the issue. However, A is the correct choice.
Given the following sequence, which other representations below represent the SAME sequence?
Answer:
...
Step-by-step explanation:
Plz help I’m in confusion!!!
324m is the surface area
12x=-4y-8 in slope-intercept form
Answer:
x=-y
Step-by-step explanation:
Which costs the last per ounce, a 20 ounce soda for $0.60, 68 ounce for $2.38, or 100 ounce for $3.32? Explain how you got your answer.
9514 1404 393
Answer:
20 oz for $0.60
Step-by-step explanation:
You can determine the least-cost item by comparing costs at the same size. (This can be done using mental arithmetic.)
68 ounces is between 3 and 4 times the size of 20 ounces. If the costs were the same, 68 ounces would cost between 3·$60 = $1.80 and 4·$60 = $2.40. The cost of 68 ounces is closer to $2.40 than 68 is to 80, so we conclude the 20-ounce soda costs less.
The cost of 100 ounces at the 20-ounce price would be 5·$0.60 = $3.00, which is less than the cost of the 100-ounce soda. Again, the 20-ounce soda is cheaper.
The least cost per ounce is the 20-ounce soda.
__
If you like, you can actually find the cost per ounce by dividing the cost by the ounces. Those results are shown in the attached table. The 20-ounce soda costs the least.
A hemispherical tank is filled with water and has a diameter of 14 feet. If water
weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank,
to the nearest pound?
Answer:
[tex]44,826.72\ \text{pounds}[/tex]
Step-by-step explanation:
Given that,
The diameter of a hemispherical tank= 14 feet
Radius, r = 7 feet
water
Water weighs 62.4 pounds per cubic foot.
We need to find the total weight of the water in a full tank to the nearest pound.
The volume of the hemisphere is given by :
[tex]V=\dfrac{2}{3}\pi r^3\\\\V=\dfrac{2}{3}\pi \times (7)^3\\\\V=718.377\ \text{feet}^3[/tex]
If water weighs 62.4 pounds per cubic foot, it means
[tex]V=718.377\times 62.4\\\\V=44,826.72\ \text{pounds}[/tex]
So, the total weight of the water is [tex]44,826.72\ \text{pounds}[/tex].
8cm
20cm
What is the volume of this cylinder?
Answer:
4021.2386 cm ^3
Step-by-step explanation:
V = πr2h = π·82·20 = 4021.2386 cm ^3
someone please help me this is really confusing
Answer:
Area of trapezoid is: [tex]\mathbf{11x^3y^2}[/tex]
Area of triangle is: [tex]\mathbf{6a^3b^2}[/tex]
Perimeter of triangle is: [tex]\mathbf{3ab+14a^2b}[/tex]
Step-by-step explanation:
Image 1:
We need to Find area of trapezoid.
The formula used is: [tex]Area=\frac{1}{2}h(b_1+b_2)[/tex]
where h is height and b₁ and b₂ are parallel sides.
Looking at the figure we get:
h = 2xy
b₁ = 4x²y
b₂ = 7x²y
Putting values and finding area:
[tex]Area=\frac{1}{2}h(b_1+b_2)\\Area=\frac{1}{2}\times 2xy(7x^2y+4x^2y)\\Area=\frac{1}{2}\times 2xy(11x^2y)\\Area=\frac{1}{2}\times 22x^3y^2\\Area=11x^3y^2[/tex]
So, Area of trapezoid is: [tex]\mathbf{11x^3y^2}[/tex]
Image 2:
We need to find area and perimeter of triangle.
First we will find area of triangle.
The formula used is: [tex]Area=\frac{1}{2}\times b \times h[/tex]
where b is base and h is height
Looking at the figure,
b = 3ab
h = 4a²b
Finding area:
[tex]Area=\frac{1}{2}\times b \times h\\Area=\frac{1}{2}\times 3ab \times 4a^2b\\Area=\frac{1}{2}\times 12a^3b^2\\Area=6a^3b^2[/tex]
So, Area of triangle is: [tex]\mathbf{6a^3b^2}[/tex]
Now, finding Perimeter of triangle
The formula used is: [tex]Perimeter = Sum\:of\:lengths\:of\:all\:sides\:of\:triangle[/tex]
Looking at figure:
Length of side 1 = 3ab
Length of side 2 = 4a²b
Length of side 3 = 10a²b
Finding Perimeter
[tex]Perimeter = Sum\:of\:lengths\:of\:all\:sides\:of\:triangle\\Perimeter = 3ab+10a^2b+4a^2b\\Perimeter=3ab+14a^2b[/tex]
So, Perimeter of triangle is: [tex]\mathbf{3ab+14a^2b}[/tex]
Calculate the length of the diagonal, d, of this cylinder
the answer is 10ft hope this helps!
The ration of child to teen to adult tickets sold at a water park on Saturday was 4:1:2. A total of 294 tickets were sold. How many child tickets were sold?
Answer: 168 child tickets were sold.
Step-by-step explanation:
Given: The ratio of child to teen to adult tickets sold at a water park on Saturday was 4:1:2.
Let the number of child tickets = 4x , teen tickets = x , adult tickets = 2x
Total tickets = x+4x+2x = 7x =294
[tex]\Rightarrow\ x=\dfrac{294}{7}\\\\\Rightarrow\ x=42[/tex]
Number of child tickets = 4(42) = 168
Hence, 168 child tickets were sold.
Samantha makes a conjecture that the product of two odd integers is always an odd integer. Which choice is the best proof of her conjecture? CLEAR CHECK Look at these different examples: 7 × 3 = 21, 5 × 9 = 45, 11 × 3 = 33. So the product of two odd numbers must be odd. Every time you multiply two odd numbers, the product is an odd number. Let (2a + 1) be an odd number. Let (2b + 1) be another odd number. The product 2(2ab + a + b) + 1 is a multiple of 2 plus 1, which is an odd number. Let a and b both represent odd numbers, and let a × b be an odd number. Therefore, a × b = b × a, which shows that the product of two odd numbers is odd.
Answer:
Let (2a + 1) be an odd number. Let (2b + 1) be another odd number. The product 2(2ab + a + b) + 1 is a multiple of 2 plus 1, which is an odd number.
Step-by-step explanation:
12. Which of these is an algebraic
expression?
A 3 - 1.4
B 1.4 - 3
C 1.4 - n
D 1.4 + 3
Answer:
C.
Step-by-step explanation:
Hi there!
for an expression to be algebraic, there needs to be a variable.
The only option with a variable is c, with a variable of n.
I hope this helped!
evaluate 40 divided by 8 plus 3 multiplied by 4 multiplied bye 2
Answer:
29
Step-by-step explanation:
40/8 + 3*4*2 =
5 + 12*2 =
5 + 24 =
29
Answer: GIVE ME BRAINLIEST! THANKS!
29
Step-by-step explanation:
CHECK FO YO SELF BOIIII!!!!!!!!
What is half of 7 5/8 and 5 3/8
Answer:
6.5
Step-by-step explanation:
7 5/8 + 5 3/8= 13
13/2=6.5
What is 7.4 + ? = 1.
tell me ur white with out saying ur white
Typing this as an actual answer this time smh:
My house is still decorated for christmas
Answer:
im not black, im the opposite
30 points! See pic attached. Will mark brainliest.
Answer:
Step-by-step explanation:
i think it a c e i hope this helps :^
answer: D,B,C
Step-by-step explanation:
line A is perpendicular to B and line A and B is parallel to line C
What is the equation of a line that passes through (1,2) and has a slope of 7?
Write your answer in the slope -intercept format, y=mx+b.
Pls help
100 pts for a few questions Ill give brainliest! (if you answer 5 ?s you get the other 50)
Answer: ik nothing of basketball sorry
Answer:
11
Step-by-step explanation:
its the most common number
Please help me. Wich one is correct.
Answer:
100(x-3)
Step-by-step explanation:
100x - 300= 100x - 3×100
= 100(x-3)
by the way the third expression is true too
5/7 + 2/3
Plz Answer
Answer:
29/21
Step-by-step explanation:
5/7 = 15/21
2/3 = 14/21
Answer:
1.38 or 1 and 1/7
Step-by-step explanation:
5/7 + 2/3
10/21 + 14/21= 24/21
then your have to divide 24 by 21 = 1 and 3/21
then simplify 1 1/7
does this help?
Q: A is 8km due north of phone mast B. C is 9.5km due west of phone mast B. Calculate the distance AC
Answer:
AC = 12.4 km (nearest tenth)
Step-by-step explanation:
AC can be calculated by using Pythagorean Theorem.
Thus:
AC² = AB² + BC²
Plug in the values
AC² = 8² + 9.5²
AC + √{154.25)
AC = 12.4 km (nearest tenth)
Use the distributive property to rewrite each expression. 4(5-2y)
Answer:
20-8y is your answer
Step-by-step explanation:
What is -1/8 divided by -1/6
A train at the local fair is 6 feet long. This 1.10 scale of an actual passenger train. You want to draw a mural that includes a 1;30 scale picture of the actual passenger train.
Answer:
Step-by-step explanation:
Help me please 9w+4= 2w+32
Answer:
w=4
Step-by-step explanation:
9w+4=2w+32
-2w -2w
7w+4=32
-4 -4
7w=28
w=4
Answer:
w = 4
Step-by-step explanation:
How to solve...
You have your equation 9w + 4 = 2w + 32, now you take 4 and subtract on both sides, so you will subtract it to 4 and 32. You get 28 as your answer. Now leave that alone, next you will take 2w and subtract it on both sides, when you subtract 2w to 9w you will get 7w. Now just do 28 divided by 7, which is 4. So w = 4. Hope this helps!
9w + 4 = 2w + 32
- 4 = - 4
--------------------------
9w = 2w + 28
-2w = -2w + 28
---------------------------
7w = 28
7w = 7w
---------------------------
w = 4
The missing number in the arithmetic sequence 60, 51, ___, 33 is:
Answer:
42
Step-by-step explanation:
In this question, we have the find the rate of change in the sequence.
To find this, we need to find how much the sequence is changing by.
We know from 60 to 51 is -9, so we know that our sequence is changing by -9.
To find our unknown number, we would subtract 9 from 51.
51 - 9 = 42
Our missing number in the sequence is 42.
We can check our answer by subtracting 9 from 42. This gives us our next number, which is 33.
42 would be your answer.
NEED HELP ASAP PLS HELP WILL GIVE BRAINLIEST
A triangle has side lengths of 1512, 223, and 314. What is the perimeter of the triangle? Remember that the perimeter of a triangle is the sum of its side lengths.
Answer:
Step-by-step explanation:
P= a+b+c
P= 1512+223+314
=2049
I NEED THIS PLEASE NOW RIGHT NOW
Answer:
The answer to the question provided is letter B.
Answer: The answer for this problem would be (B). -_-
Step-by-step explanation:
I need help, i don’t understand if
Answer:
(6,6)
Step-by-step explanation:
Hope this helps!