Onions cost 25 cents each whereas peppers cost 35 cents each. If I buy 5 more onions than peppers

Randall, Kira and Sean have 100 baseball cards altogether. Randall has twice as many as Kira and 10 more than Sean. How many bas

TEA [102]

Kira has 22 cards, Randall has 44 cards, and Sean has 34 cards

Solution:

Given that, Randall, Kira and Sean have 100 baseball cards altogether.

Randall has twice as many as Kira and 10 more than Sean.

We have to find how many baseball cards does each person have?

Now, let the number of cards with Kira be "n", then number of cards with Randall will be "2n"

As Randall has "2n" cards, Sean will have 2n – 10

Now, total cards = 100

Randall cards + Kira cards + Sean cards = 100

2n + n + 2n – 10 = 100

5n = 100 + 10

5n = 110

n = 22

So, kira has 22 cards, then, randall will have 2(22) = 44 cards and cards with sean = 44 – 10 = 34 cards.

Hence, kira has 22 cards, randall has 44 cards, and sean has 34 cards.

8 0

3 years ago

Evan wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn, so he needs no fence

pentagon [3]

Answer: A. A=(1000-2w)*w B. 250 feet

C. 125 000 square feet

Step-by-step explanation:

The area of rectangular is A=l*w (1)

From another hand the length of the fence is 2*w+l=1000 (2)

L is not multiplied by 2, because the opposite side of the l is the barn,- we don't need in fence on that side.

Express l from (2):

l=1000-2w

Substitude l in (1) by 1000-2w

A=(1000-2w)*w (3) ( Part A. is done !)

Part B.

To find the width w (Wmax) that corresponds to max of area A we have to dind the roots of equation (1000-2w)w=0 ( we get it from (3))

w1=0 1000-2*w2=0

w2=500

Wmax= (w1+w2)/2=(0+500)/2=250 feet

The width that maximize area A is Wmax=250 feet

Part C. Using (3) and the value of Wmax=250 we can write the following:

A(Wmax)=250*(1000-2*250)=250*500=125 000 square feets

3 0

3 years ago

The average expenditure on Valentine's Day was expected to be$100.89 (USA Today, February 13, 2006). Do male and femaleconsumers

stealth61 [152]

Answer:

(a) $62.16

(b) Male: $15.00

Female: $10.06

(c) Confidence Interval for male expenditure is ($106.40, $136.40)

Confidence interval for female expenditure is ($49.18, $69.30)

Step-by-step explanation:

(a) Male expenditure

Sample mean = $135.67, sd=$35, n=40, Z=2.576

Population mean = sample mean - (Z×sd)/√n = 135.67 - (2.576×35)/√40 = 135.67 - 14.27 = $121.40

Female expenditure

Sample mean= $68.64, sd=$20, n=30, Z=2.576

Population mean = 68.64 - (2.576×20)/√30 = 68.64 - 9.40 = $59.24

$121.40 - $59.24 = $62.16

(b) Male: Error margin = (t-value × sd)/√n

Degree of freedom = n-1 = 40-1= 39. t-value corresponding to 39 degrees of freedom and 99% confidence level is 2.708

Error margin = (2.708×35)/√40 = 94.78/6.32 = $15.00

Female

Degrees of freedom = n-1 = 30-1 = 29. t-value is 2.756

Error margin = (2.756×20)/√30 = 55.12/5.48 = $10.06

(c) Male

Confidence Interval (CI) = (mean + or - error margin)

CI = 121.4 + 15.00 = $136.40

CI = 121.4 - 15.00 = $106.40

Confidence Interval is ($106.40, $136.40)

Female

CI = 59.24 + 10.06 = $69.30

CI = 59.24 - 10.06 = $49.18

Confidence Interval is ($49.18, $69.30)

7 0

3 years ago

Bob and Caitlyn are playing a trading-card game. Between them, they have 81 cards. Bob has 7 fewer cards than Caitlyn.

Alina [70]

We know that Bob and Caitlyn are playing a trading-card game. Between them, they have 81 cards. Bob has 7 fewer cards than Caitlyn. Since Bob has 7 cards fewer them Caitlyn we have to divide by 2 and subtract 7.

81 / 2 = 40 [rounded]

40 - 7 = cards Bob has

= 33 cards bob has

3 0

3 years ago

Read 2 more answers

Suppose the ratio of Lev's age to Mina's age is $1 : 2$ and the ratio of Mina's age to Naomi's age is $3 : 4$. What is the ratio

lisabon 2012 [21]

Answer:

answer: 2:2

Step-by-step explanation:

1:2+2:2 to get 3:4

5 0

2 years ago