A cylinder has a base diameter of 10cm and a height of 14cm. What is its volume in cubic cm, to the nearest tenths place?
Answers
Radius of your cylinder = 1/2 of the diameter =5 cm
Volume = π (5 cm)² (14 cm) = 350 π cm³ = 1,099.56 cm³ (rounded)
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Thankz all of you this is my question 14b=56
A. x + 7y = 320
y = 7x
B. x + y = 7
y = 320x
C. x + y = 320
y = 7x
D. x−y=320
y = 7x
2. Nancy bought 360 tropical fish for a museum display. She bought 8 times as many goldfish as angelfish.
How many of each type of fish did she buy?
A. 40 angelfish, 320 goldfish
B. 160 angelfish, 200 goldfish
C. 20 angelfish, 160 goldfish
D. 320 angelfish, 40 goldfish
3. Michael and Kathryn bowl together and their combined total score for one game was 425 points. Michael’s score was 70 less than twice Kathryn’s. What were their scores?
Which is a system of equations to model the problem if x represents Kathryn’s score and y represents Michael’s score?
A. x + y = 70
y = 2x – 425
B. x + y = 425
y = 2x – 70
C. x – y = 425
y = 2x – 70
D. x + y = 425
y = 2x + 70
4. Michael and Kathryn bowl together and their combined total score for one game was 425 points. Michael’s score was 70 less than twice Kathryn’s.
What were their scores?
A. Kathryn: 260, Michael: 165
B. Kathryn: 150, Michael: 275
C. Kathryn: 275, Michael: 150
D. Kathryn: 165, Michael: 260
5. A collection of nickels and dimes is worth $6.10. There are 67 coins in all.
How many nickels are there?
A. 12
B. 18
C. 49
D. 55
Answers
Answer:
D
Step-by-step explanation:
If im wrong, please correct me in the comments.
Answer:
5. D, Let d represent the number of dimes and n represent the number of nickel. We have been given that a collection of coins has 67 coins in all. This means that total number of nickels and dimes is 67. We can represent this information in an equation as:
Since we know that a dime is worth $0.10, so d dimes will be worth 0.10d.
A nickel is worth $0.05, so n nickels will be worth 0.05n. We are also told that the collection is worth $6.10. We can represent this information in an equation as:
We will use substitution method to solve system of linear equations. From equation (1) we will get, upon substituting in equation (2) we will get, Let us divide both sides of our equation by .
Answers
Therefore Sine of 60 = opposite side over hypotenuse
so 9 square roots of 3 over y
Sorry if that is not correct.
Answers
Answer: associative
Step-by-step explanation:
the associative property is used to state that numbers in an addition expression can be grouped differently still giving the same sum
Answers
The Distributiveproperty of addition over multiplication is shown in the expression -6(4x + 5) = -24x - 30.
Given,
-6(4x + 5) = -24x - 30
We need to find out which property is applied in the given expression.
What are the properties of algebra?
Some of the properties are:
- Commutativeproperty of
Addition - a + b = b + a
Multiplication - a x b = b x a
- Associativeproperty of
Addition - (a + b) + c = a + (b + c)
Multiplication - (a x b) x c = a x (b x c)
-Distributiveproperty of addition over multiplication
a x (b + c) = a x b + a x c
a + b x c = (a x c) + (b x c)
- Inverseproperty
a + -a = 0
Inverse property of a is -a.
We have,
-6 ( 4x + 5 )
= (- 6) x 4x + ( - 6 ) x 5
= -24x - 30
If a = -6, b = 4x and c = 5
We have,
= a x ( b + c )
= a x b + a x c
We see that Distributiveproperty of addition over multiplication is applied here.
Thus the Distributiveproperty of addition over multiplication is shown in the expression -6(4x + 5) = -24x - 30.
Learn more about distributiveproperty here:
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This would be the distributive property!!
The distributive property lets you multiply a sum by multiplying each addend separately and then add the products
hope this helps!
0.06x = 0.04y
Answers
x + y = 1000
then:
y = 1000 - x
We can plug that into the other equation to solve for a value of x.
0.06x = 0.04y
0.06x = 0.04(1000-x)
0.06x = 40-0.04x
0.1x = 40
x = 400
We can then solve for y:
y = 1000 - 400
y = 600
Therefore, x = 400 and y = 600.
2/3, 9/16, 0.52