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3 years ago

PLEASE HELP ME ASAP!

Mathematics

1 answer:

Dmitriy789 [7]3 years ago

3 0

Answer:

Number = 250

Step-by-step explanation:

Let x = "a number"

Difference means subtraction:

3x - (12^2 + 92) = 514

3x = "three times a number"

12^2 + 92 = "the sum of twelve squared and ninety two"

Solve from there.

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analyze this situation and determine how much cookie dough is "wasted" when 3-inch cookies are cut. then have each team member c

Cerrena [4.2K]

Answer:

The result is the same.

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.

Please have a look at the attached photo.

My answer:

Given the information:

square 12 inches wide
3-inch diameter cookies are cut => its radius is: 1.5 inches

Hence we can find some information:

The area of the square is: $12^{2} = 144$ square inches
The area of a cookies is: $r^{2}$ π = 3.14* $1.5^{2}$ = 7.065 square inches
The total number of 3-inch cookies are: 4*4 =16

=> The total area of the cookies is: 16* 7.065 = 113.04 square inches

=> how much cookie dough is "wasted" when 3-inch cookies are cut:

= The area of the square - The total area of the cookies

= 144 - 113.04 = 30.96 square inches

If the diameter is increased to 4 inches => its radius: 2 inches, we have:

The area of a cookies is: $r^{2}$ π = $2^{2} *3.14 = 12.56$ square inches
The total number of 3-inch cookies are: 3*3 =9

=> The total area of the cookies is: 9* 12.56 = 113.04 square inches

=> how much cookie dough is "wasted" when 4-inch cookies are cut:

= The area of the square - The total area of the cookies

= 144 - 113.04 = 30.96 square inches

The result is the same.

8 0

3 years ago

Complete the solution of the equation. Find the<br> value of y when x equals 17.<br> -x + y = -27

Greeley [361]

Answer:

y= -10

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Meaghan and Lily are dividing 43.61 by 7. Meaghan says that the first digit of the quotient is in the ones place. Lily says it i

Ivahew [28]

Answer: Meaghan is right.

Step-by-step explanation:

For a number like:

123.45

the tens place would be the "2" (second number at the left of the decimal point)

The ones place would be the "3" (first number at the left of the decimal point)

Let's suppose that Lily is correct.

Then the quotient of:

43.61/7

Will be a number with two digits in the left of the decimal point.

The smallest number that meets this condition, is the number 10.

Then let's see:

7*10 = 70

then:

70/7 = 10

and:

43.61 < 70

(70 is larger than 43.61)

then:

43.61/7 < 70/7 = 10

Then:

(43.61/7) < 10

This means that our quotient is smaller than 10, then the first digit of the quotient can not be on the tens place.

Then Meaghan is the correct one.

We also could perform the quotient to find:

43.61/7 = 6.23

So yes, Meaghan is correct.

5 0

3 years ago

119. Beatrice decides to deposit $100 per month at the end of every month in a bank with an annual interest rate of 5.5% compoun

sveta [45]

Answer:

Beatrice will accumulate $1230.72 at the end of the year.

Step-by-step explanation:

We can write:

$(1+\frac{0.055}{12})=z$

$100=C$ for deposits

The first month would have only the deposit reflected in her balance, then, expanding some steps of the calculation would yield:

$S_{1}=C\\S_{2}=Cz + C\\S_{3}=Cz^{2}+Cz + C\\S_{n}=Cz^{n-1} +...+Cz+C$

A geometric series is given by:

$1+x+...+x^{m}=\frac{x^{m+1}-1}{x-1}$

Translating our series to the short form:

$S_{n}=C(\frac{z^{n}-1}{z-1} )$

plugin in the values for the 12 month gives:

$S_{12}=100(\frac{(1+\frac{0.055}{12})^{12} -1}{\frac{0.055}{12}})=1230.7169$

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3 years ago

one number is 7 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 307,

Svetach [21]

The three numbers are 23, 161, and 123.

6 0

4 years ago