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Luden [163]
3 years ago
14

What is the unit rate of four pounds of apples that cost $1.96

Mathematics
2 answers:
forsale [732]3 years ago
4 0
\frac{1.96}{4}=0.49

Solution: 0.49 pounds
Zigmanuir [339]3 years ago
4 0
1.96 ÷ 4 = 0.49

SO, 1 pound = $0.49.

Hope I helped:P

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The diameter is 12 inches. What is the area? What do I do to solve it please help!
SashulF [63]

Answer:

113.04 sq. in.

Step-by-step explanation:

If the diameter of the circle is 12", then the radius is 6" (half the diameter), and the area "A" is (approximately) 3.14 * 6^2. The calculation is approximate because 3.14 is a rounded value for pi.

3 0
3 years ago
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The length of a rectangle is 6 yards longer than its width. If the perimeter of the rectangle is 32 yd, find its area in square
ddd [48]
Let, width = x
Length = x + 6

Now, perimeter, 2(l+b) = 2(x+6+x)
2(2x+6) = 32
4x + 12 = 32
4x = 20
x = 5 &
x+6 = 5+6 = 11

As rectangle's dimensions are 11*5, it's area would be: 11 * 5 = 55 yards²

So, your final answer is 55 Yd²

Hope this helps!
8 0
4 years ago
b. What would be the new account balance in five years at a 5.12% if the interest was compounded monthly?
Korolek [52]

Answer: The account will earn in one year the amount of $10,512,000

Step-by-step explanation:

3 0
3 years ago
If the second number is subtracted from the sum of the first number and 2 times the third number, the result is 1. The thrid num
weeeeeb [17]

Answer:

<h2>x = 0, y = 5, z = 3</h2>

Step-by-step explanation:

x,\ y,\ z-\text{three numbers}\\\\\left\{\begin{array}{ccc}(x+2z)-y=1&(1)\\z+2x=3&(2)\\x+3y+z=18&(3)\end{array}\right\\\\(2)\\z+2x=3\qquad\text{subtract}\ 2x\ \text{from both sides}\\z=3-2x\qquad(*)\\\\\text{Substitute}\ (*)\ \text{to (1) and (3)}\\\\\left\{\begin{array}{ccc}x+2(3-2x)-y=1&\text{use the distributive property}\\x+3y+(3-2x)=18\end{array}\right

\left\{\begin{array}{ccc}x+(2)(3)+(2)(-2x)-y=1\\x+3y+3-2x=18&\text{subtract 3 from both sides}\end{array}\right\\\left\{\begin{array}{ccc}x+6-4x-y=1&\text{subtract 6 from both sides}\\(x-2x)+3y=15\end{array}\right\\\left\{\begin{array}{ccc}(x-4x)-y=-5\\-x+3y=15\end{array}\right\\\left\{\begin{array}{ccc}-3x-y=-5&\text{multiply both sides by 3}\\-x+3y=15\end{array}\right

\underline{+\left\{\begin{array}{ccc}-9x-3y=-15\\-x+3y=15\end{array}\right}\qquad\text{add all sides of the equations}\\.\qquad-10x=0\qquad\text{divide both sides by (-10)}\\.\qquad\boxed{x=0}\\\\\text{Put it to the second equation:}\\-0+3y=15\\3y=15\qquad\text{divide both sides by 3}\\\boxed{y=5}\\\\\text{Put the value of}\ x\ \text{to}\ (*):\\\\z=3-2(0)\\\boxed{z=3}

7 0
3 years ago
12 is 90% of what number?<br><br><br> with steps
a_sh-v [17]

Answer:

<h3><u>Let's</u><u> </u><u>understand the concept</u><u>:</u><u>-</u></h3>
  • Here 12 is 90% of a number.
  • So we can say that 90% of That number is 12 .
  • In this way we can get the the number
<h3><u>Solution</u><u>:</u><u>-</u></h3>

Let,

the number=x

<h3>According to the question ,</h3>

{:}\longrightarrow\sf 90\% \:of \;x=12

  • We know 90%=90/100
  • so add it

{:}\longrightarrow\sf {\dfrac {90}{100}}\times x=12

{:}\longrightarrow\sf {\dfrac {90x}{100}}=12

  • Now use cross multiplication method

{:}\longrightarrow\sf 90x=12\times 100

{:}\longrightarrow\sf 90x=1200

  • Now interchange sides .

{:}\longrightarrow\sf x={\dfrac {1200}{90}}

{:}\longrightarrow\sf x={\dfrac {200}{15}}

  • Answer will come in decimals so we take approximate value.

{:}\longrightarrow\sf x=13.3

{:}\longrightarrow\sf x=approximately \:13

\thereforeThe number is 13.

6 0
3 years ago
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