So you go to the store one day with 50$ to spend. You wanna buy some apples and some pears. The apples are 5$ per pack (3 in each pack) and the pears are 3$ each pack (4 in each pack.) you end up buying 5 packs each fruit. How much money do you have left over?

Answer:

324in2

Step-by-step explanation:

A=bxwxh (basexwidthxheight)

A=4.5x6x12=324

A=324in2

Answer:

306

Step-by-step explanation:

hope this helps

Answer:

Since each card is about $1, the total cost is approximately 3 × 1 = $3.

Step-by-step explanation:

So 3 x 1 = 3

1 > 0.97

0.97 x 3 ≈ 2.91 which if rounded to the nearest WHOLE number it would be approximately 3$

Hope this helps!

Answer:

4........................

Answer:A

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

By definition, tan∅=opposite/adjacent, so A would be your other option. HI represents the length of the side opposite to ∠H while GI represents the length of the side adjacent to ∠H.

Hope that clears things up!

Answer:

a) $3.50

b) 2,500 cups

c) $6,250

Step-by-step explanation:

a) The number of cups of coffee the student sells, n = 2,000 cups

The price at which the student sells the coffee, P = $4.0

The number of extra cups sold for every $0.1 reduction in price = 100 cups

The cost of making one cup of coffee, C = $1.0

Let 'x' represent the set charge for a cup of coffee, we get;

The number of cups, nₙ = 2,000 + 100 × (4.0 - x)/0.1 = 6,000 - 1,000·x

Therefore, the revenue is given as follows;

Revenue, R = x × (6,000 - 1,000·x) = 6000·x - 1,000·x² = 1,000·(6·x - x²)

The cost, C = 1 × 6,000 - 1,000·x = 6,000 - 1,000·x

The profit, P = Revenue - Cost

∴ Profit = 6000·x - 1,000·x² - (6,000 - 1,000·x) = 7,000·x - 1,000·x² - 6,000

Profit, P = 7,000·x - 1,000·x² - 6,000 = 1,000 × (7·x - x² - 6)

At the maximum profit, we have; , we have;

dP/dx = 0

∴ dP/dx = d(1,000 × (7·x - x² - 6))/d

dR/dx = 1,000·d(7·x - x² - 6)/dx = 1,000 × (7 - 2·x) = 0

x = 7/2 = 3.5

The price that gives the maximum profit, x = $3.50

Therefore, the amount the student center should charge for a cup of coffee to maximize profit, x = $3.50

b) We have;

The number of cups, n = 6,000 - 1,000 × 3.5 = 2,500

The number of cups of coffee the student center sells at the price that gives the maximum profit, n = 2,500 cups

c) The maximum profit, [tex]P_{max}[/tex] = 1,000 × (7 × 3.5 - 3.5² - 6) = 6,250

The maximum profit, [tex]P_{max}[/tex] = $6,250.

Step-by-step explanation:

Using the equation [tex]a^{2} + b^{2} = c^{2}[/tex]

so [tex]a^{2} = 35[/tex] and [tex]b^{2} =50[/tex]

[tex]a^{2} + b^{2} = 85^{2}[/tex]

Answer:

85 units²

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

The hypotenuse is the side opposite the right angle ( third side ) , then

area = 35 + 50 = 85 units²

Answer:

x=10/9

y=10/81

Step-by-step explanation:

Answer:

-11 4/9

Step-by-step explanation:

-3 1/9 minus 8 1/3 with common denominators would be -3 1/9 minus 8 3/9, and that would be -11 4/9.

Answer:

[tex]12.5(x + 20) = 460 \\ x + 20 = 460 \div 12.5 \\ x + 20 = 36.8 \\ x = 36.8 - 20 \\ x = 16.8[/tex]

Hence, 16.8 miles is your answer

Answer:

A

Step-by-step explanation:

1/4 is the required answer.

hope it helps u and keep smiling :)

Answer:

C

Step-by-step explanation:

there are 2 vowels in the 8 letters

so

2/8 but simplify it and 1/4

Answer:

Step-by-step explanation:

-7r - 5

Hope that helps! :)

-Aphrodite

Answer:

-7r - 5

Step-by-step explanation:

3r - 7 and -10r + 2

*remember that you can only combine the like terms

3r - 10r = - 7r

-7 + 2 = -5

Final Answer: -7r - 5

Answer:

22in.^2

Step-by-step explanation:

Area of a triangle formula is A= b*h* 1/2

(b= base  h= height)

the base is 8

the height is 5 1/2

8*5 1/2

----------

  2

5  1/2 = 5.5

8* 5.5 = 44

44/2 = 22

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of maths,

here, A.) is correct because.

2/3(27) - 6 ==> 18 - 6 = 12

hence, LHS = RHS,

so option A is correct

Answer:

x = 3/2 + y/2

Step-by-step explanation:

:)

Answer:

1/2

Step-by-step explanation:

reduce the numbers with the greatest common factor 5

1/5×5 1/2

1/2

Answer:

this is the answer hope it helps

Answer:

[tex]BD = 30[/tex]

Step-by-step explanation:

Given

[tex]AB = 17[/tex]

[tex]AC = 16[/tex]

See attachment

Required

Find BD

If AC = 16, then:

[tex]AO = 16/2[/tex] i.e. half the diagonal AC

[tex]AO = 8[/tex]

The diagonals of a rhombus are perpendicular.

This implies that we can apply Pythagoras theorem.

Using Pythagoras theorem on triangle AOB, we have:

[tex]AB^2 = AO^2 + OB^2[/tex]

[tex]17^2 = 8^2 + OB^2[/tex]

[tex]289 = 64 + OB^2[/tex]

Collect like terms

[tex]OB^2 = 289 - 64[/tex]

[tex]OB^2 = 225[/tex]

Take positive square roots of both sides

[tex]OB = 15[/tex]

To solve for BD, we use:

[tex]OB = \frac{BD}{2}[/tex] --- i.e. half the diagonal BD

[tex]BD = 2 * OB[/tex]

[tex]BD = 2 * 15[/tex]

[tex]BD = 30[/tex]

Answer:

You can find 0.5% of a number by multiplying the number by

Step-by-step explanation:

Answer:

Mai has less variability as compared to that of Priya

Step-by-step explanation:

IQR is the Inter quartile range and is the difference between upper and lower quartiles. It measures the variability as in terms it depicts the middle 50% of values when the values are arranged in ascending order

In case of Priya's median score was 118, and her IQR was 15. IQR = 15 means that there is a difference of 15 between the upper and lower quartiles

While in case of Mai, the IQR is 5 only.

Hence, Mai has less variability as compared to that of Priya

Answer:

y = -2x + 150

Step-by-step explanation:

y2 - y1 / x2 - x1

120 - 100 / 15 - 25

20 / -10

= -2

y = -2x + b

100 = -2(25) + b

100 = -50 + b

150 = b