Jonas has 40 marbles. He gave 1/5 of the marbles to marvin and 3/8 of the marbles to leroy. How many marbles did each boy get?

Answers

Answer 1

Answer: 1/5 x 40

= 8 marbles

3/8 x 40

= 15 marbles

Answer 2

Answer: just multiply all both fraction with 40, hence u will get

Marvin=1/5 x 40=8
Leroy=3/8 x 40=15
Jonah will have 17 marbles left.

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If the angles of a triangle are 10 45 and 23 what is the perimerter of the triangle

Answers

Answer:

No Solutions

Step-by-step explanation:

In a triangle, the sum of the angles has to be 180 degrees. It also is impossible to find the length of sides without at least one side, since the range of lengths is practically infinite. There are no solutions to this problem.

The volume of a cube depends on the length of its sides. This can be written in function notation as v(s). What is the best interpretation of v(3) = 27?A. A cube with a volume of 3 cubic feet has side lengths of 27 feet.
B. A cube with side lengths of 3 feet has a volume of 27 cubic feet.
C. 3 sides of the cube have a total length of 27 feet.
D. 3 of these cubes will have a total volume of 27 cubic feet.

Answers

we know that

The volume of a cube is equal to

$V(s)=s^(3)$

where

s is the length side of the cube

In this problem we have

$s= 3\ ft$

The volume is equal to

$V(3)=3^(3)=27\ ft^(3)$

therefore

the answer is the option B

A cube with side lengths of 3 feet has a volume of 27 cubic feet

I think the correct answer from the choices listed above is option B. The best interpretation of the function given as v(3) = 27 would be a cube with side lengths of 3 feet has a volume of 27 cubic feet. Hope this answers the question. Have a nice day.

Help please!!A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 8 inches.

Part A: Write a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first hour after it started burning. For example, the point (0, 8) would represent a height of 8 inches after 0 hours. Explain how you obtained the ordered pairs. (5 points)

Part B: Is this relation a function? Justify your answer using the list of ordered pairs you created in Part A. (2 points)

Part C: If the rate at which the candle burned was 0.4 inches per hour instead of 0.5 inches per hour, would the relation be a function? Explain your answer using input and output values. (3 points)

Answers

for every hour you need to subtract 0.5 an you get your answer

Write an explicit formula for each sequence.
3, 7, 11, 15, ...

Answers

Answer:

f(n)= f(1)+d(n-1)

Step-by-step explanation:

the aerithmetric explict formula is the one above, but im not sure what the question is asking, your difference is 4 btw

If alpha and beta are the zeroes of the polynomial 6x2+x-2 find the value og alpha/beta + beta/alpha

Answers

$6x^2+x-2=6x^2+4x-3x-2=2x(3x+2)-1(3x+2)\n\n=(3x+2)(2x-1)\n\n3x+2=0\to x=-(2)/(3)\n\n2x-1=0\to x=(1)/(2)\n\n\alpha=-(2)/(3);\ \beta=(1)/(2)\n\n(\alpha)/(\beta)+(\beta)/(\alpha)=(-(2)/(3))/((1)/(2))+((1)/(2))/(-(2)/(3))=-(2)/(3)\cdot(2)/(1)-(1)/(2)\cdot(3)/(2)=-(4)/(3)-(3)/(4)\n\n=-(16)/(12)-(9)/(12)=-(25)/(12)=-2(1)/(12)$

$use\ Vieta's\ formula:\n\n(\alpha)/(\beta)+(\beta)/(\alpha)=(\alpha^2+\beta^2)/(\alpha\beta)=(\alpha^2+2\alpha\beta+\beta^2-2\alpha\beta)/(\alpha\beta)=((\alpha+\beta)^2-2\alpha\beta)/(\alpha\beta)=((\alpha+\beta)^2)/(\alpha\beta)-2\n\n\alpha+\beta=(-b)/(a);\ \alpha\beta=(c)/(a)\n\n((\alpha+\beta)^2)/(\alpha\beta)-2=(\left((-b)/(a)\right)^2)/((c)/(a))-2=(b^2)/(a^2)\cdot(a)/(c)-2=(b^2)/(ac)-2$

$6x^2+x-2\n\na=6;\ b=1;\ c=-2\n\n(\alpha)/(\beta)+(\beta)/(\alpha)=(1^2)/(6\cdot(-2))-2=(1)/(-12)-2=-2(1)/(12)$

Find the volume of the triangular prism shown in the diagram. The unlabeled point is F (0,0,1) . Outline your steps to explain the process you used.

Answers

Volume = (LWH)/2
Length = Difference between the two x values
Using A (4, 3, 1) an B (0, 3, 1) we can use these two x values to find the length of the triangular prism
4 - 0 = 4
Length = 4
Width = This is exactly the same process, however we use the y values
Using E (4, 0, 1) and A (4, 3, 1) we can use the two y values to find the width
3 - 0 = 3
Width = 3
Height = Again, the same but using the z values
Using E (4, 0, 1) and D (4, 0, 5) we can find the difference
5 - 1 = 4
Height = 4

Now we have all out values, we can put them in the formula to work out the volume.
(4 x 3 x 4)/2
48/2
24 (units)³

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