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3 years ago

What is: 2/3 X 5/6 X 14 = ___.

1 answer:

3 0

Lets start with 2/3 × 5/6 so first we multiply the numerator with the numerator and then the denominator with the denominator: 2×5 and 3×6
so after we multiply the numerators we get 10 and after multiplying the denominators we get 18
10/18 is our new fraction
next we have 10/18 × 14 so we multiply 14 with the numerator and we get our new numerator of 140
and our new fraction is 140/18 which also means 140 ÷ 18
now 18 can go into 140 only 7 times as a whole but then afterwards there is a remainder of 14
so 140/18 = 7 14/18 but 14/18 can be simplified since the have a GCF of 2
so you divide the numerator and denominator by 2 and get 7/9
7 7/9 is your answer i hope this helps

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murzikaleks [220]

Answer:

14.25 - d

Step-by-step explanation:

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3 years ago

Your basketball team scored 4 fewer than twice as many points, x, as the other team. a. Write an expression for the number of po

velikii [3]

Answer:

A) p = 2x - 4 for the expression. B) Your team scored 44 points.

Step-by-step explanation:

Let P represent the points your team made.

Since the question says "Your basketball team scored 4 fewer than twice as many points as the other team." this is how I came up with the expression.

p = 2x - 4 ( our points = 2 times more then the other teams points minus 4.

Using this expression and the given information that the other team made 24 points, I solved B.

44 = 2(24) - 4.

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3 years ago

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tangare [24]

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3 years ago

Lisa took out a loan for 5 months and was charged simple interest at an annual rate of 4.8%.

denis-greek [22]

Answer:

Lisa borrowed $8,500

Step-by-step explanation:

Simple Interest

Occurs when the interest is calculated on the original principal of a loan only.

Unlike compound interest where the interest earned in the compounding periods is added to the old principal, simple interest only considers the principal to calculate the interest.

The interest earned is calculated as follows:

I=Prt

Where:

I = Interest

P = initial principal balance

r = interest rate

t = time

Lisa took out a loan for t=5 months and was charged simple interest at an annual rate of r=4.8% = 0.048. She paid interest for I=$170.

We need to convert the time to years (there are 12 months per year):

t = 5 /12 years.

The formula must be solved for P:

$\displaystyle P=\frac{I}{rt}$

Substituting:

$\displaystyle P=\frac{170}{0.048*5/12}$

$\displaystyle P=\frac{170}{0.02}=8,500$

Lisa borrowed $8,500

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3 years ago

Solve the following simultaneous equations: 1. a) x-y=-5 and x + y = -1

Sonbull [250]

Answer:

x = -3, y = 2

Step-by-step explanation:

x - y = -5

x = -5 + y

Let's put this into the other equation

(-5 + y) + y = -1

-5 + 2y = -1

2y = 4

y = 2

Now we can solve for x by plugging y into either equation

x + (2) = -1

x = -3

8 0

2 years ago

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