1 over 3 +2over 5) x 2 over 3

Answers

Answer 1

Answer: 1/3 + 2/5 • 2/3

2 • 2 = 4
5 • 3 = 15

1/3 = 5/15

5/15 + 4/15 = 9/15 = 3/5

1/3 + 2/5 • 2/3 = 3/5

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The largest state in the US is Alaska, covering 663,267 square miles (including water). What is the approximate radius of a sphere with the same surface area as the area of Alaska?

Answers

So we wan't to calculate the radius of a sphere that has the area of Alaska that is A=663.267 square miles. First, lets see what is the formula for the area of the sphere: A= 4*pi*r^2. Here we can solve the equation to get the radius: r^2=A/(4*pi) and the last step is: r= sqrt ( A/(4*pi) ). After we input the numbers we get: r= 224.54 miles.

Answer:

answer is C

Step-by-step explanation:

Please try to help thanks

Answers

Answer:

1 ) alternate interior angle

2) corresponding part of congruent triangle

3) vertically opposite angle

4)∆HED congruent to ∆FEG

5) parallel lines and alternate interior angle

A customer buys five cans of baked beans, four packets of brown sugar and two packets of biscuits from a supermarket.He gives the cashier R150.00 and gets R26.00 in change. A can of baked beans costs half as much as a packet of biscuits whilst a packet of sugar is R3.00 cheaper than a packet of biscuits.1.How much did all the items cost?
2.Calculate the cost of a can of baked beans, a packet of sugar and a packet of biscuits.
3.How much will 8 cans of baked beans,1 packet of sugar and 6 packets of biscuits cost?

Answers

can of baked beans = x
packet of brown sugar = y
packet of biscuit = z

5x + 4y + 2z = 150 - 26 ⇒ 5x + 4y + 2z = 124 is the total cost of all items.

can of baked beans = x = 1/2 of z
packet of sugar = y = z - 3

5(z/2) + 4(z-3) + 2z = 124
5z/2 + 4z - 12 + 2z = 124
5z/2 + 6z = 124 + 12
2(5z/2 + 6z) = 2(136)
5z + 12z = 272
17z = 272
z = 16 cost of a packet of biscuit.

x = 1/2 of z = 16/2 = 8 cost of a can of baked beans
y = z - 3 = 16 - 3 = 13 cost of a packet of sugar

5x + 4y + 2z = 124
5(8) + 4(13) + 2(16) = 124
40 + 52 + 32 = 124
124 = 124

8(8) + 1(13) + 6(16) = 64 + 13 + 96 = 173 total cost on question 3.

Which of these statements is the best definition of a circle with center Point O?All points 1" from Point O

All points equidistant from Point O

All points a given distance from Point O in one plane

All points in the plane equidistant from Point O

Answers

All points in the plane equidistant from Point O

Write an expression for the total cost, in pounds, of: X jumpers at £15 each and y shirts at £12 each

Answers

x jumpers at £15 each. Total = 15*x = £15x

y shirts at £12 each. Total = 12*y = £12y

Total cost = £15x + £12y

Total cost = £(15x + 12y)

Final answer:

The total cost, in pounds, for X jumpers at £15 each and Y shirts at £12 each can be written as the mathematical expression: 15X + 12Y, where X and Y are the quantities of jumpers and shirts respectively.

Explanation:

To write an expression for the total cost of X jumpers at £15 each and Y shirts at £12 each in pounds, you need to multiply the cost per item by the quantity of each items and then add these two products together.

So, the total cost can be given as:

15X + 12Y

where

X represents the number of jumpers
Y represents the number of shirts

In this expression, '15X' stands for the total cost of the jumpers and '12Y' stands for the total cost of the shirts.

Learn more about Algebraic Expressions here:

brainly.com/question/34192827

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Point E is located at (−2,4) and point F is located at (5,10) . What are the coordinates of the point that partitions the directed line segment EF⎯⎯⎯⎯⎯ in a 7:3 ratio? Enter your answer, as decimals, in the boxes.