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Vitek1552 [10]
4 years ago
10

Renee can see a 25 square foot quilt in 16 hours. Genera can sew the same size quilt in 12 hours. How long would it take them to

see the quilt together?
Mathematics
2 answers:
seraphim [82]4 years ago
7 0

Answer:

Approximately 6.86 hours.

Step-by-step explanation:

Renee sews at a rate of 1.5625 sq ft an hour. Found using square feet divided by hours.

Genera sews at a rate of 2.084 sq ft an hour. Found using square feet divided by hours.

To find how fast they can sew the quilt together, we must add their sewing speeds together: 1.5626 + 2.084 = 3.64583333.

Using this equation we can divide a 25 sq ft quilt by their speed of 3.64583333 to get approximately 6.86 hours.

The answer is approximate because we used rounded decimals.

scoundrel [369]4 years ago
3 0

28 hours because they are too long from each other

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Jet001 [13]

Answer: The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other. Then you back-solve for the first variable.

Step-by-step explanation:

4 0
3 years ago
The graphs of g(x) = x³- ax² + 6 and h(x) = 2x² + bx + 3 touch when x = 1. Therefore, the tangent to
Olegator [25]

Answer:

(1,\, 10).

Step-by-step explanation:

Differentiate each function to find an expression for its gradient (slope of the tangent line) with respect to x. Make use of the power rule to find the following:

g^\prime(x) = 3\, x^2 - 2\, a\, x.

h^\prime(x) = 2\, (2\, x) + b = 4\, x  + b.

The question states that the graphs of g(x) and h(x) touch at x = 1, such that g^\prime(1) = h^\prime(1). Therefore:

3 - 2\, a = 4 + b.

On the other hand, since the graph of g(x) and h(x) coincide at x = 1, g(1) = h(1) (otherwise, the two graphs would not even touch at that point.) Therefore:

1 - a + 6 = 2 + b + 3.

Solve this system of two equations for a and b:

\begin{aligned}& a + b = 2 \\ & 2\, a + b = -1\end{aligned}.

Therefore, a = -3 whereas b = 5.

Substitute these two values back into the expression for g(x) and h(x):

g(x) = x^3 + 3\, x^2 + 6.

h(x) = 2\, x^2 + 5\, x + 3.

Evaluate either expression at x = 1 to find the y-coordinate of the intersection. For example, g(1) = 1 + 3 + 6 = 10. Similarly, h(1) = 2 + 5 + 3 = 10.

Therefore, the intersection of these two graphs would be at (1,\, 10).

6 0
3 years ago
The yearbook club is handing out T-shirts to its members. There are 5 blue, 7 green, 9 red, and 4 yellow T-shirts in all. If Jac
Neporo4naja [7]

Answer:

well it's 9/25 or 0.36% or (36%) only

Step-by-step explanation:

So you add all the numbers up it would be 25, divide the numerator by the denominator and get 0.36%, i can't remember if you divide .36 by 100 or not but anyway you get 36%.

But I hope i have helped you in anyway.

5 0
3 years ago
Equivalent (-1)+10+9 please
vagabundo [1.1K]

Answer:

18

Step-by-step explanation:

1) Simplify the expression

-1 + 10 + 9

9 + 9

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4 0
3 years ago
If the standard deviation for a Poisson distribution is known to be 3.60, the expected value of that Poisson distribution is
Charra [1.4K]

Answer: 12.96

Step-by-step explanation:

given data:

Poisson distributio = 3.60

solution:

The Poisson distribution expected value is same as Variance.

which is expressed as = SD^2

therefore;

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= 3.60^2

= 12.96

5 0
3 years ago
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