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saveliy_v [14]
3 years ago
9

A kangaroo hopped 3{,}5203,5203, comma, 520 yards to the lake with her baby in her pouch. She hopped the remaining 5{,}2805,2805

, comma, 280 yards without her baby in her pouch. How many miles did the kangaroo hop to the lake? Miles
Mathematics
1 answer:
7nadin3 [17]3 years ago
8 0

Answer:

5 miles

Step-by-step explanation:

Here is a more clear question :

A kangaroo hopped 3,520 yards to the lake with her baby in her pouch. She hopped the remaining 5,280 yards without her baby in her pouch. How many miles did the kangaroo hop to the lake? Miles

to determine the answer

1. add the yards hopped with the baby with the yards hopped without the baby together

3520+5280=8800 yards

2. convert yards to miles

1 yards = 0.000568182 miles

0.000568182 x 8800 = 5 miles

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3) James earned a total of $900 last week. He worked for 5 hours at his usual rate, then earned a bonus of $20 for each hour tha
agasfer [191]

Answer:

$160 hourly rate

Step-by-step explanation:

20 x 5 = 100

900 - 100 = 800

800 ÷ 5 = 160

To check: Multiply 160 by 5 and then add 100

3 0
2 years ago
In the expansion (ax+by)^7, the coefficients of the first two terms are 128 and -224, respectively. Find the values of a and b
madam [21]

Answer:

a = 2, b = 3.5

Step-by-step explanation:

Expanding (ax+by)^7 using Binomial expansion, we have that:

(ax+by)^7 =

(ax)^7(by)^0 + (ax)^6(by)^1 + (ax)^5(by)^2 + (ax)^4(by)^3 + (ax)^3(by)^4 + (ax)^2(by)^5 + (ax)^1(by)^6 + (ax)^0(by)^7

= (a)^7(x)^7+ (a)^6(x)^6(b)(y) + (a)^5(x)^5(b)^2(y)^2 + (a)^4(x)^4(b)^3(y)^3 + (a)^3(x)^3(b)^4(y)^4 + (a)^2(x)^2(b)^5(y)^5 + (a)(x)(b)^6(y)^6 + (b)^7(y)^7\\\\\\= (a)^7(x)^7+ (a)^6(b)(x)^6(y) + (a)^5(b)^2(x)^5(y)^2 + (a)^4(b)^3(x)^4(y)^3 + (a)^3(b)^4(x)^3(y)^4 + (a)^2(b)^5(x)^2(y)^5 + (a)(b)^6(x)(y)^6 + (b)^7(y)^7

We have that the coefficients of the first two terms are 128 and -224.

For the first term:

=> a^7 = 128

=> a = \sqrt[7]{128}\\ \\\\a = 2

For the second term:

a^6b = -224

b = \frac{-224}{a^6}

b = \frac{-224}{2^6} \\\\\\b = \frac{-224}{64} \\\\\\b = 3.5

Therefore, a = 2, b = 3.5

5 0
3 years ago
Record this number in standard form: twenty-five thousand, four hundred fifty
bogdanovich [222]

Hi!

  • 25 thousand
  • 4 hundred
  • 50
<h3>25,000 + 400 + 50 = 25,450</h3><h2>The answer is 25,450</h2>

Hope this helped you! :)

-Peredhel

4 0
3 years ago
What is the probability of drawing a jack from a standard deck of cards, replacing it,shuffling, then drawing an ace?
xz_007 [3.2K]

- We have 52 cards in a deck of cards.

- We have 4 cards of the same number (4 jack, 4 aces...).

Probability of drawing a jack = 4/52

Probability of drawing a jack followed by an ace =(4/52)*(4/52)=0.00592

6 0
1 year ago
4-8m=-8-5m what is m​
faust18 [17]

Answer:

-9m-4

Step-by-step explanation:

Move the -4 to the right hand side by adding 4 to both sides, like this: To the left hand side:

-4 + 4 = 0

9m ‹ 5m

6 0
2 years ago
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