Multiple choice, picture attached :)

Mathematics

1 answer:

timofeeve [1]3 years ago

4 0

Answer:

Step-by-step explanation:

A constant rate per week is b = 1.00

1.06 - 1.00 = 0.06

Move the decimal over 2 places to get 6% which is the share's value

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the average of two numbers is 34 the first number is three times the second number what are the two numbers

tino4ka555 [31]

Hi there!

To solve this problem, we need to set up two equations and use the system of equations to solve.

Let x be the first number.
Let y be the second number.

(x + y) ÷ 2 = 34
x = 3y

Now, we can use substitution to solve.

(3y + y) ÷ 2 = 34
4y ÷ 2 = 34
2y = 34
y = 17

Now, we plug the value of y in the equation to solve for x.

x = 3*17
x = 51

Hope this helps!

7 0

3 years ago

At a farm, there are two huge pits for storing hay. 90 tons of hay is stored in the first pit, 75 tons in the second pit. Then,

Travka [436]

Answer:

63 tons

Step-by-step explanation:

The problem statement asks for the tons of hay removed from the first pit. It is convenient to let a variable (x) represent that amount. This is said to be 3 times the amount removed from the second pit, so that amount must be x/3.

The amount remaining in the first pit is 90-x.

The amount remaining in the second pit is 75 -x/3.

Since the first pit remaining amount is half the second pit remaining amount, we can write the equation ...

... 90 -x = (1/2)(75 -x/3)

... 180 -2x = 75 -x/3 . . . . multiply by 2

... 105 - 2x = -x/3 . . . . . . subtract 75

... 315 -6x = -x . . . . . . . . multiply by 3

... 315 = 5x . . . . . . . . . . . add 6x

... 63 = x . . . . . . . . . . . . . divide by 5

63 tons of hay were taken from the first pit.

_____

<em>Check</em>

After removing 63 tons from the first pit, there are 27 tons remaining. After removing 63/3 = 21 tons from the second pit, there are 54 tons remaining. 27 is half of 54, so the answer checks OK.

6 0

3 years ago

A rectangle has a perimeter 86 cm and length 36 cm what is its width

Pani-rosa [81]

Answer: w = 7cm

Step-by-step explanation:

Perimeter = 2 x length + 2 x width = 2L + 2w

Width is 4 cm less than the length, so w = L-4

36 = 2L + 2(L-4)

36 = 2L + 2L - 8

36 = 4L - 8

44 = 4L