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Ilya [14]
3 years ago
14

To make 5 apple pies, you need 2 pounds of apples. How many pounds of apples would you need to make 20 pies?

Mathematics
1 answer:
Dmitrij [34]3 years ago
8 0
10 pounds use division , 20/2=10 pounds of apples total
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-a^2+46a-480=0<br> a - ?
sattari [20]
a = 30
a = 16

-a² + 46a -480 = 0

(-a + 30) (a -16) = 0
(-a)(a) + (-a)(-16) + 30(a) + 30(-16) = 0
-a² + 16a + 30a -480 = 0
-a² + 46a - 480 = 0

(-a + 30) = 0   ; (a - 16) = 0
-a = -30          ;   a = 16
 a = 30

To check:
a = 30
-(30)² + 46(30) - 480 = 0
-900 + 1380 - 480 = 0
480 - 480 = 0
0 = 0

a = 16
-(16)² + 46(16) - 480 = 0
-256 + 736 - 480 = 0
480 - 480 = 0
0 = 0
5 0
3 years ago
Read 2 more answers
Y+9÷2=y-3÷4-(y/3)<br>pls help​
Ann [662]

Answer:

y = - \frac{63}{4} or - 15.75

Step-by-step explanation:

Order of operations.

y + \frac{9}{2} = y - \frac{3}{4} - \frac{y}{3} Subtract y from each side.

y - y + \frac{9}{2} = y - y - \frac{3}{4} - \frac{y}{3}

\frac{9}{2} =  - \frac{3}{4} - \frac{y}{3}   Add \frac{3}{4} to each side

\frac{9}{2} + \frac{3}{4} = - \frac{3}{4} + \frac{3}{4} - \frac{y}{3}

\frac{9}{2} + \frac{3}{4} = - \frac{y}{3}    Find the common denominator for \frac{9}{2} and \frac{3}{4}, which is 4

\frac{9}{2} * \frac{2}{2} + \frac{3}{4} = - \frac{y}{3}

\frac{18}{4} + \frac{3}{4} = - \frac{y}{3}

\frac{21}{4} = - \frac{y}{3}   Multiply each side by 3

\frac{21}{4}  * 3 = - \frac{y}{3} * 3

\frac{63}{4} = - y      Divide each side by -1

y = - \frac{63}{4} = - 15 \frac{3}{4}

y = - 15.75

3 0
3 years ago
Read 2 more answers
Need to know the area of the composite figure.
Deffense [45]

Answer:

  51 m^2

Step-by-step explanation:

The shaded area is the difference between the area of the overall figure and that of the rectangular cutout.

The applicable formulas are ...

  area of a triangle:

     A = (1/2)bh

  area of a rectangle:

     A = bh

  area of a trapezoid:

     A = (1/2)(b1 +b2)h

___

We note that the area of a triangle depends only on the length of its base and its height. The actual shape does not matter. Thus, we can shift the peak of the triangular portion of the shape (that portion above the top horizontal line) so that it lines up with one vertical side or the other of the figure. That makes the overall shape a trapezoid with bases 16 m and 10 m. The area of that trapezoid is then ...

  A = (1/2)(16 m + 10 m)(5 m) = 65 m^2

The area of the white internal rectangle is ...

  A = (2 m)(7 m) = 14 m^2

So, the shaded area is the difference:

  65 m^2 -14 m^2 = 51 m^2 . . . . shaded area of the composite figure

_____

<em>Alternate approach</em>

Of course, you can also figure the area by adding the area of the triangular "roof" to the area of the larger rectangle, then subtracting the area of the smaller rectangle. Using the above formulas, that approach gives ...

  (1/2)(5 m)(16 m - 10 m) + (5 m)(10 m) - (2 m)(7 m) = 15 m^2 + 50 m^2 -14 m^2

  = 51 m^2

7 0
3 years ago
Instructions: Read the prompt, respond to the prompt below the sources provided. Use the quote and sources provided to support y
olga55 [171]

Answer: cool

Step-by-step explanation:

6 0
3 years ago
Which of the following numbers is greatest, or furthest to the right on the number line? {56, 39, 74, 81, 62}
Dimas [21]
The greatest number is 81
4 0
3 years ago
Read 2 more answers
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