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3 years ago

20 points -simplify fully

Mathematics

2 answers:

natulia [17]3 years ago

7 0

Answer:

4√7

Step-by-step explanation:

5√7 + √7 - 2√7

Taking out common term, √7.

= √7 ( 5 + 1 - 2)

Simplify the terms in the bracket.

= √7 (4)

= 4 √7

Dovator [93]3 years ago

7 0

Answer:

pls make this the brainliest

hope this helps

4√7

Step-by-step explanation:

5√7 + √7 - 2√7

Taking out common term, √7.

= √7 ( 5 + 1 - 2)

Simplify the terms in the bracket.

= √7 (4)

= 4 √7

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Kiera's dance class starts at 4:30pm and ends at 6:15 pm how long is her dance class

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Samuel received $250 as prize money for winning the St. Peterson High School Badminton Tournament. The money was deposited in a

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Complete Question

Samuel received $250 as prize money for winning the St. Peterson High School Badminton Tournament. The money was deposited in a special scholarship account that offered an annual interest of 1.8% compounded semiannually. The amount he will have in the accoutnt after t years can be calculated using the expression below.

$250(1+\frac{0.018}{2})^{2t}$

Use the given expression to complete the statements below.

The expression is the___(Product , Sum , Quotient , Square) of the amount initially deposited and the____(Quotient , Product , Difference , Sum) of one and the rate of increase raised to the number of ___.(Compounding Periods , Years, Months)

Answer:

Product
Sum
Compounding Periods

Step-by-step explanation:

For an amount invested at compound interest at a rate of r% with period for t years,

Amount $=P(1+\frac{r}{k})^{tk}$

Comparing with the given expression: $250(1+\frac{0.018}{2})^{2t}$

Period =2

Rate =0.018

Total Compounding Period =2 X t, where t=Number of years

Therefore:

The expression is the Product of the amount initially deposited and the Sum of one and the rate of increase raised to the number of Compounding Periods .

4 0

3 years ago

How can a mixed number be written as a sum?

k0ka [10]

First, write the mixed number as a sum of a whole number and a proper fraction. Then write the two parts with common denominator , and add. Once you're used to this, you can use a shortcut method: 1) Multiply the whole part by the denominator of the fractional part, and add the numerator of the fractional part.

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3 years ago

The length of a rectangle is twice its width. The perimeter is 30. Find its dimensions

bogdanovich [222]

Answer:

Step-by-step explanation:

The width of the rectangle = x

Therefore the length of the rectangle = 2x, as it is twice its width

We know that the perimeter of a rectangle = 2 × （length + width）

So since the perimeter equals to 30, then we can form the equation:

2×(2x+x) = 30

2×(3x) = 30

6x = 30

x = 5

width of the rectangle = x = 5

length of the rectangle = 2x = 2×5 = 10

If there is an unit which is in the question, remember to add it to the end of the answer. As you have not written any units in the posted question, I will leave it as it is.

Hope this helps :)

7 0

4 years ago

Read 2 more answers

find three consecutive integers. such that 4 times of first integer is 18 more than the sum of the second and third integer

Juliette [100K]

Three consecutive numbers are x, x+1 and x+2.

Four times the first integer is 4x

The sum of the second and third is (x+1)+(x+2)=2x+3.

So, we have

$4x = 2x+3+18\iff 4x=2x+21$

Subtract 2x from both sides:

$2x=21$

Divide both sides by 2:

$x=10.5$

So, you can't have three consecutive integers such that four times the first is 18 more than the sum of the other two: the three numbers would be 10.5, 11.5, 12.5.

In fact, you have

$4\cdot 10.5 = 42$

and

$11.5+12.5+18 = 24+18=42$

8 0

3 years ago