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Tpy6a [65]
3 years ago
12

Isaiah and his children went into a grocery store and where they sell apples for $0.50 each and peaches for $1.50 each. Isaiah h

as $15 to spend and must buy no less than 14 apples and peaches altogether. If Isaiah decided to buy 8 apples, determine the maximum number of peaches that he could buy. If there are no possible solutions, submit an empty answer.
Mathematics
2 answers:
pychu [463]3 years ago
8 0

Answer:

8x0.50=4

15-4=9

9/1.50= 6

6 peaches

erica [24]3 years ago
6 0

Answer:

Maximum of <u>6 peaches</u>, and 8 apples

Explanation:

Given that the quantity of apples and peaches must total to 14, a total cost of $15, with a cost of $0.50 each for apples and a cost of $1.50 each for peaches, we can create a system of equations to solve for each variable.

0.5a + 1.50p = 15.

a + p = 14.

There are many methods that can be used but the easiest one that works for this problem is elimination.

Start by multiplying the top equation by 2 to get rid of the decimals.

0.5 a × 2 + 1.5 p × 2 = 15 × 2.

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Karolina [17]

Answer:

$90.75

Step-by-step explanation:

First we convert kilograms to pounds.

1 kg = 2.2 lb

15 kg = 15 * 2.2 lb = 33 lb

Cost of shipping: $2.75/lb

Cost of shipping 33 lb: 33 lb * 2.75/lb = $90.75

Answer: $90.75

5 0
3 years ago
A farmer owns 30 acres of land on which he wishes to grow corn and barley. The cost per acre for seed corn is $30, and the cost
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Answer:

Step-by-step explanation:

The farmer makes 3.58$

4 0
3 years ago
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Question 22 A city has a population of people. Suppose that each year the population grows by . What will the population be afte
Alexeev081 [22]

Answer:

911,690.

Step-by-step explanation:

Please consider the complete question.

A city has a population of 390,000 people. Suppose that each year the population grows by 6.75%. What will the population be after 13 years? Round your answer the nearest whole number.

We will use exponential growth formula to solve our given problem.

y=a\cdot (1+r)^x, where,

y = Final value,

a = Initial value,

r = Growth rate in decimal form,

6.75\%=\frac{6.75}{100}=0.0675

y=390,000\cdot (1+0.0675)^x

y=390,000\cdot (1.0675)^x

To find the population after 13 years, we will substitute x=13 in population growth equation as:

y=390,000\cdot (1.0675)^{13}

y=390,000\cdot 2.3376661492982871

y=911689.798226331969

Upon rounding to nearest whole number, we will get:

y\approx 911,690

Therefore, the population of the city after 13 years would be 911,690.

8 0
3 years ago
The equations 2 x minus y = negative 2, 3 x + 2 y = 5, 4 x minus y = 2, and 22 x + 10 y = 7 are shown on the graph below. On a c
KiRa [710]

Answer:

<em>The correct answer is First option</em>:

22x+10y=7\\ 2x-y=-2

Step-by-step explanation:

We are given 4 equations:

22x+10y=7\\ 2x-y=-2\\3x+2y=5\ and\ \\4x-y=2

Let us solve the first two:

22x+10y=7...... (1)\\ 2x-y=-2 ...... (2)

Multiplying (2) with 10 and adding to (1):

22x+20x=7-20\\\Rightarrow 42x=-12\\\Rightarrow x = -0.2857 \approx -0.3

So, approximately, value of x is -0.3.

Putting value of x in (2):

2 \times -0.3 - y =-2\\\Rightarrow y = -0.6+2\\\Rightarrow y = 1.4

value of x is approximately -0.3 so y is approximately 1.4.

So, the solution is \approx (–0.3, 1.4)

<em>The correct answer is First option</em>:

22x+10y=7\\ 2x-y=-2

The above two equations have a solution <em>approximately (–0.3, 1.4).</em>

3 0
3 years ago
Read 2 more answers
John borrowed $20,000 from Beth. He pays $500 per month in interest. What is the percentage interest rate?
user100 [1]

Answer: 2.5%

Step-by-step explanation:

From the question, we are informed that John borrowed $20,000 from Beth and that he pays $500 per month in interest.

The percentage interest rate would be calculated thus:

= Amount paid as interest / Amount borrowed × 100

= 500/20000 × 100

= 2.5%

7 0
2 years ago
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