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den301095 [7]
3 years ago
15

A countertop is 17 feet long and 2 feet wide. Part 1 out of 2 What is the area of the countertop in square meters? Use the conve

rsion 1 foot = 0.305 meter. Round your final answer to 2 decimal places.
Mathematics
1 answer:
Aleks04 [339]3 years ago
5 0
17 feet= 17 x 0.305= 5.185 meters
2 feet= 2 x 0.305= 0.610 meters

A=LxB
= 5.185 x 0.610
= 3.16285
= 3.16 meters
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Melody picks a number. She triples the number, squares the result, divides the square by 2, subtracts 30 from the quotient, and
Aleksandr-060686 [28]

The possible numbers that Melody could have picked are -4 and 4.

The operation that prevents us from knowing with 100% certainty the number Melody had picked is multiplication which is implied by the phrase "double the number".

Given, Let x be the number Melody had chosen.

Thus, tripling the number will give 3x, and

squaring this will result to (3x)² which is equals to 9x².

Dividing the square of the number by 2 and subtracting 30 from its quotient will give 42:

9x²/2 ₋ 30 = 42

9x²/2 = 42 ₊ 30

9x²/2 = 72

9x² = 72 × 2

9x² = 144

x² = 144/9

x² = 16

x = ±√16

x = ±4

x = ₊4 or x = 4

hence melody could have picked ₊4 or ₋4 numbers.

Learn more about Equations here:

brainly.com/question/22688504

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8 0
2 years ago
Factorize fully 12x^3-4x^2
serg [7]

Answer:

4x² (3x - 1)

Step-by-step explanation:

→ Find the LCM of 12 and 4

LCM = 4

→ Find the LCM of x³ and x²

LCM = x²

→ Combine both LCM's together to form the outside multiplier

4x² (? - ?)

→ Complete the operations of 12x³ ÷ 4x² to find the first ? and 4x² ÷ 4x² to find the second ?

12x³ ÷ 4x² = 3x

4x² ÷ 4x² = 1

→ Therefore,

∴ 4x² (3x - 1)

4 0
3 years ago
5x1/5 what is the anscer
alexgriva [62]

Answer:

Is 1

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The vertex of this parabola is at (2, -4). When the y-value is -1, the x-value is 3. What is the coefficient of the squared term
Blizzard [7]
\bf ~~~~~~\textit{parabola vertex form}
\\\\
\begin{array}{llll}
\boxed{y=a(x- h)^2+ k}\\\\
x=a(y- k)^2+ h
\end{array}
\qquad\qquad
vertex~~(\stackrel{2}{ h},\stackrel{-4}{ k})\\\\
-------------------------------\\\\
\underline{y}=a(\underline{x}-2)^2-4
\\\\\\
\textit{we also know that }
\begin{cases}
y=-1\\
x=3
\end{cases}\implies \underline{-1}=a(\underline{3}-2)^2-4
\\\\\\
3=a(1)^2\implies 3=a
8 0
3 years ago
a school debate team has 4 girls and 6 boys. a total of 4 of the team members will be chosen to participate in the district deba
alexgriva [62]
The correct question is:
What is the probability that 2 girls and 2 boys will be selected?

Solution:
Total number of students = 10
Ways to select a team of 4 students = 10C4 = 210

2 Boys can be selected from 6 boys in ways = 6C2 = 15
2 Girls can be selected from 4 girls in ways = 4C2 = 6

Number of ways to select 2 boys and 2 girls = 15 x 6 = 90

Probability of choosing 2 boys and 2 girls = 90/210 = 3/7

Thus, if 4 team members are selected, the probability of choosing 2 boys and 2 girls will be 3/7
3 0
3 years ago
Read 2 more answers
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