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lesantik [10]
3 years ago
6

Write 72xy^2? as a prime factorization. Show all of your work!​

Mathematics
1 answer:
kolezko [41]3 years ago
6 0

9514 1404 393

Answer:

  2³·3²·x·y²

Step-by-step explanation:

Unique prime factors are 2, 3, x, y. Each of those is raised to a power to obtain the given expression.

  72xy² = 8·9·x·y² = 2³·3²·x·y²

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A small box holds 80 books. A large box holds 195% as many books, How many books does the large box hold?
Triss [41]

Answer: 156

Step-by-step explanation:

80 x 195% = 156

OR

80 x 1.95 = 156

4 0
3 years ago
Angle E has what measurement according to the protractor?
oksian1 [2.3K]

Answer:

Angle E has 120\°

Step-by-step explanation:

we know that

Observing the figure, according to the protractor

Angle B has 30\°

Angle C has 50\°

Angle D has 90\°

Angle E has 120\°

Angle F has 140\°

5 0
3 years ago
If the perimeter of A rectangle is 70" in and the length is 11" in more than its width find the area of the rectangle
steposvetlana [31]
First, write an equation system based on the problem
An equation for "the perimeter of a rectangle is 70 in" can be written as following
∴ 2l + 2w = 70  <em>(first equation)</em>
An equation for "the length is 11 in more than its width" can be written as following
∴ l = w + 11 <em>(second equation)</em>

Second, solve the equation by substitution method o find the dimension of the rectangle.
Substitute/plug l as (w+11) into the first equation
2l + 2w = 70
2(w + 11) + 2w = 70
2w + 22 + 2w = 70
4w + 22 = 70
4w = 70 - 22
4w = 48
w = 48/4
w = 12
The width of the rectangle is 12 in

Substitute w with 12 to the second equation
l = w + 11
l = 12 + 11
l = 23
The length of the rectangle is 23 in

Third, find the area of the rectangle
a = l × w
a = 23 × 12
a = 276
The area of the rectangle is 276 in²
4 0
3 years ago
Perform the indicated operation.<br><br> + <br><br><br><br> 1
serg [7]

Answer:

what?%%%%%%%%%>[&$<^[email protected]

3 0
3 years ago
Jason has $0.37 worth of pennies and nickels. He has a total of 13 pennies and nickels altogether. Determine the number of penni
fredd [130]

Answer: Jason has 7 pennies and 6 nickels.

Step-by-step explanation:

Let be "p" the number of pennies that Jason has and "n"  the number of nickels that Jason has.

Set up a system of equations:

\left \{ {p+n=13} \atop {0.01p+0.05n=0.37}} \right.

You can use the Elimination Method. Multiply the first equation by -0.01 and add both equations:

\left \{ {-0.01p-0.01n=-0.13} \atop {0.01p+0.05n=0.37 }} \right.\\................................\\0.04n=0.24\\\\n=6

Susbtitute this value into the first equation and solve for "p":

p+6=13\\\\p=13-6\\\\p=7

4 0
3 years ago
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