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1 year ago

Which one of the quotients is correct? A) 876 ÷ 43 = 20r17B) 876 ÷ 43 = 20r16C) 876 ÷ 43 = 20r7D) 876 ÷ 43 = 20r6

1 answer:

4 0

To check which of the quotients is correct, multiply 43 times 20 and add the remainder. The result must be equal to 876.

First, notice that 20 times 43 equals 860.

The remainder is 17. 860 + 17 = 877, which is not equal to 876.

The remainder is 16. 860 + 16 = 876, which is equal to 876.

The remander is 7. 860 + 7 = 867, which is not equal to 876.

The remainder is 6. 860 + 6 = 866, which is not equal to 876.

Since 20*43 + 16 = 876, then the correct quotient is shown in option B:

876 ÷ 43 = 20 r 16

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If D is the midpoint of EG, find the length of EG

Brrunno [24]

ED = x - 5 given

DG = 4x - 38 given

ED = DG definition of midpoint

x - 5 = 4x - 38 substitution

-5 = 3x - 38 subtraction property of equality (subtracted x from both sides)

33 = 3x addition property of equality (added 38 to both sides)

11 = x division property of equality (divided 3 from both sides)

ED = x - 5 → ED = 11 - 5 → ED = 6 substitution

since ED = DG, then DG = 6 transitive property

ED + DG = EG segment addition property

6 + 6 = EG substitution

12 = EG simplified like terms

Answer: 12

7 0

3 years ago

Whats the 11th term of 2,6,18,54

Natalija [7]

The 11th term would be 39,366.

The rule for this sequence is 3n (n times 3). Simplying multiplying by 3 until you get to the 11th term (54 * 3 * 3 * 3 * 3 * 3 * 3), would give you this answer.

I hope this helps!!

8 0

3 years ago

car as the following utility function: U(X,Y)equals10Upper X squaredY where X is her consumption of Blu-ray disks with a pri

mr_godi [17]

Answer:

She consumes 30 blue ray disk and 60 DVD respectively.

Step-by-step explanation:

Consider the provided information.

$U(x,y)=10x^2y$

Calculate marginal utility of good

Differentiate with respect of x and y.

$MU_x=20xy$

$MU_y=10x^2$

Her consumption of Blu-ray disks (X) with a price of $40 and Y is her consumption of DVDs with a price of $10.

The ratio of marginal utility of good x to y is equal to the price ratio:

$\frac{MU_x}{MU_y}=\frac{P_x}{P_y}$

Substitute the respective values.

$\frac{20xy}{10x^2}=\frac{40}{10}$

$\frac{2y}{x}=4$

$2y=4x$

$y=2x$

She has $1800 with which to spend on the two goods.

Her consumption of Blu-ray disks (X) with a price of $40 and Y is her consumption of DVDs with a price of $10. She has $1800 with which to spend on the two goods.

Therefore, $40x+10y=1800$

$4x+y=180$

Substitute the value of y in above equation.

$4x+2x=180$

$6x=180$

$x=30$

Thus, $y=60$

She consumes 30 blue ray disk and 60 DVD respectively.

6 0

2 years ago

Which weighs more, one that weighs 2/3 of a pound or one that weighs 5/6 of a pound?

xeze [42]

Answer:

5/6 of a pound

Step-by-step explanation:

When you multiply 2/3 by 2 it will equal 4/6 making it smaller then 5/6. and divide the fraction and you will see which is smaller.

4 0

2 years ago

Find an explicit formula for the following sequence, an which starts with a1=−1. −1,1/2,−1/3,1/4,−1/5,…

Dimas [21]

Answer:

The sequence can be represented by the formula of its nth term:

$a_n=\frac{(-1)^n}{n}$

Step-by-step explanation:

Notice that we are in the presence of an alternate sequence (the values alternate from negative to positive. Therefore we need to take into account that there should be a factor "-1" raised to the "n" value for the sequence. Also, given that the sequence looks in absolute value like the harmonic sequence, we conclude upon the following general form for the "nth" term of the sequence:

$a_n=\frac{(-1)^n}{n}$

5 0

2 years ago