Hattie is making fruit baskets, which includes apples and bananas, to send to some of her real estate clients. She wants each basket to have 12 pieces of fruit, but the fruit should weigh no more than 80 ounces total. On average, each apple weighs 5 ounces, and each banana weighs 7 ounces.
Answers
The number of apples are 2 and number of bananas is 10.
What is Equation?
Two or more expressions with an Equal sign is called as Equation.
Given that Hattie is making fruit baskets, which includes apples and bananas, to send to some of her real estate clients.
She wants each basket to have 12 pieces of fruit, but the fruit should weigh no more than 80 ounces total.
On average, each apple weighs 5 ounces, and each banana weighs 7 ounces.
Let Bananas is denoted by B and Apples are represented by A.
A+B=12...(1)
5A+7B<80...(2)
A=12-B
Substitute in equation 2.
5(12-B)+7B=80
60-5B+7B=80
60+2B=80
Subtract 60 on both sides.
2B=80-60
2B=20
Divide both sides by 2.
B=10
A+B=12
A+10=12
A=2
Hence, the number of apples are 2 and number of bananas is 10.
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Answer:
Step-by-step explanation:
The answer is 10 bananas and 2 apples
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What is the simplified form of this expression? (5x2 + 2x + 11) − (7 + 4x − 2x2)
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GCF of 48, 36, and 16. (this is all I need thx) :)
Answers
9514 1404 393
Answer:
(a) 4 in²
Step-by-step explanation:
The volume of a rectangular prism is given by the formula ...
V = Bh
where B is the area of the base, and h is the height of the prism.
We can find the area of the base by solving for B.
B = V/h
B = (12 in³)/(3 in)
B = 4 in² . . . . . . . . . . matches the first choice
Answers
Answer:
(a) 0.0178 <= p <= 0.0622
(b) p <= 0.0586
Step-by-step explanation:
We have that the sample proportion is:
p = 12/300 = 0.04
(to)
For 95% confidence interval alpha = 0.05, so critical value of z will be 1.96
Therefore, we have that the interval would be:
p + - z * (p * (1-p) / n) ^ (1/2)
replacing we have:
0.04 + - 1.96 * (0.04 * (1-0.04) / 300) ^ (1/2)
0.04 + - 0.022
Therefore the interval would be:
0.04 - 0.022 <= p <= 0.04 + 0.022
0.0178 <= p <= 0.0622
(b)
For upper bounf z-critical value for 95% confidence interval is 1.645, so upper bound is:
p + z * (p * (1-p) / n) ^ (1/2)
replacing:
0.04 + 1.645 * (0.04 * (1-0.04) / 300) ^ (1/2)
0.04 + 0.0186 = 0.0586
p <= 0.0586
Answers
Answer:
-15
Step-by-step explanation:
If it fell 3 deg every hour for 5 hours so the equation is 3*5 plus a - sign because it dropped degrees
Answers
We will use the segment addition postulate.
PQ + QR = PR
4x - 1 + 3x - 1 = 54
7x - 2 = 54
7x = 56
x = 8
So QR is 3(8) - 1 or 24 - 1 which is 23.
Answer:
QR is 23
Step-by-step explanation:
- PR = 54
- Which means:
- (4x-1)+(3x-1)=54
- We can solve for x to find what QR is:
- 7x-2 =54
- 7x=56
- x=8
- Plug in x for QR equation:
- 3(8)-1 = 24-1=23
- 23 is the answer
Work out the value of his car at the start of 2017.
Answers
The value of Mike's car at the start of 2017 is £4116.
What is percentage ?
Percentage is a ratio in the form of fraction of 100.
Percentage is defined by the "%" symbol.
What is the required value of the car ?
At the start of the year 2014, Mike's car was worth £12000.
The value of the car decreased by 30% every year.
So, The value of the car at the start of 2015 = £12000×
= £ 12000×
= £ 8400
Again, The value of the car at the start of 2016 = £8400×
= £8400×
= £5880
∴ The value of the car at the start of 2017 = £5880×
= £5880×
= £4116
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