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3 years ago

AKAJAXOSPAPXODAOAPA HELP

Mathematics

1 answer:

Leya [2.2K]3 years ago

7 0

Answer:

He used 6 bananas at .50 which cost $3.00

12 oranges at .75 which cost $9.00 and

3 papayas at $1.25 which cost $3.75

Step-by-step explanation:

We can set up a system of equations using the information given.

b for banana, r for orange, p for papaya

b + r + p = 21. Also given r = 2b So substitute to simplify for calculating two unknowns:

b + 2b + p = 21 The number of items.

50b + 75(2b) +125p = 1575 The cost.

I multiplied everything by 100 to eliminate the decimals.

To solve by substituion, rewrite the first equation to get a value for p in terms of b

p = 21 - 3b

Substitute this value in the second equation and solve for b.

50b + 150b + 125(21–3b) = 1575

200b +2625 –375b = 1575 Subtract 2625 from both sides and combine the like terms:

–175b = 1575 –2625

–175b = –1050. Divide both sides by –175

b = 6

Substitute in the original equation to find the amount of each fruit:

b + r + p = 21

b = 6 bananas

r = 2b. 2(6) = 12 oranges. I used r so as not to mix up o with 0.

6 + 12 + p = 21

p = 21 –18

p = 3 papayas

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What is the value of the expression z2+3z-3 when z=6?

oksano4ka [1.4K]

Answer:

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Define

z² + 3z - 3

z = 6

Step 2: Substitute and Evaluate

6² + 3(6) - 3

36 + 18 - 3

36 + 15

8 0

3 years ago

A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No fencing is needed along the bar

san4es73 [151]

Answer:

x = 125 ft and y = 250/3 ft

Step-by-step explanation:

Let assume that,

x be the length of the northern part of the fence (parallel to the north wall)

y be the length of the western and eastern pieces of the fence

As well as farmer has $4000 to spend hence we can write,

8x + 8y + 4y = 4000

8x + 12y = 4000

Hence we can say that,

from the above equation we can write

$y=\frac{4000}{12} -\frac{2x}{3}$

We know that area

A=xy.

$A(x) =\frac{500x}{3}-\frac{2x^2}{3}$

we can write

$A'(x) = \frac{500}{3} -\frac{4x}{3}$

equating it 0 we get

$A'(x) = \frac{500}{3} -\frac{4x}{3}=0$

$x=125$

Also,

$A"(x) = -\frac{4}{3}$

which is less than zero.

we can see that A''(x) is always less than 0 hence using second derivative test we can say that x = 125 is a maximum point.

now, solving for y we get $y= \frac{250}{3}$

Hence we can say that dimensions for the plot that would enclose the most area is,

x = 125 ft and y = 250/3 ft

5 0

4 years ago

The product of two consecutive integers is 72. The equation x(x + 1) = 72 represents the situation, where x represents the small

Natali [406]

ANSWER

${x}^{2} + x - 72 = 0$

EXPLANATION

The given equation is

$x(x + 1) = 72$

Expand the parenthesis to obtain;

${x}^{2} + x = 72$

Add -72 to both sides of the equation.

${x}^{2} + x - 72 = 0$

Hence the equation that can be factored and solve for the smaller integer is

${x}^{2} + x - 72 = 0$

7 0

4 years ago

Read 2 more answers

Urgent! Please answer ALL of the following questions to receive brainliest answer! Use the picture attached to solve! Thank you!

wolverine [178]

1. The two angles add up to 180°.

2. You can create an equation because of this:
2x - 3 + 7x + 21 = 180
9x + 18 = 180
- 18
9x = 162
÷ 9
x = 18

3. <KMP is equal to <YMA because they are vertically opposite, so you can substitute in the value of x to find it.
(7 × 18) + 21
126 + 21 = 147
answer = 147°

4. The complement of an angle is the value that makes it add up to 90°, so first we need to find <KMA:
(2 × 18) - 3
36 - 3 = 33°
90 - 33 = 57
answer = 57°

I hope this helps!

5 0

3 years ago

For three consecutive years, Sam invested some money at the start of the year. The first year, he invested x dollars. The second

nikitadnepr [17]

Year Sam Sally1: X (3/2)X-10002: (5/2)X-2000 2X-15003: X/5+1000 X/4+1400Total 37X/10-1000 15X/4-1100
Since their investments are known to be equal, we equate the two totals and solve for X.37X/10-1000=15X/4-1100(150-148)X/40 = 1100-1000X/20=100X=2000
So Sam invested $2000 the first year.Sally invested X/4+1400=1900 in the last year.

6 0

3 years ago