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aleksklad [387]
3 years ago
9

A canoe requires 8 hours of fabrication and a rowboat 5 hours. The fabrication departments has at most 107 hours of labor availa

ble each week. Let X be the number of canoes and let Y be the number of rowboats. Select the correct letter for answerA) 8x+5y<107B) 5x+8y<107C) 8x+5y>107D) 5x+8y>107
Mathematics
1 answer:
Elina [12.6K]3 years ago
6 0

Answer: A

Step-by-step explanation: Canoe → 8h →X

                                            Rowboat → 5h → Y

Fabrication department has at most 107, which means it need to be <u>less</u> than 107 hours.

This way, the amount of time to fabricate X canoes = 8X plus the amount of time to fabricate Y Rowboat = 5Y must be less than 107.

8X + 5Y < 107

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Which expression is equivalent to Negative 28 x y 35 y? 7 y (Negative 4 x y 5 y) 7 x (negative 4 x 5 y) 7 x (negative 4 y 5 y) 7
GREYUIT [131]

You can use the distributive property of multiplication over addition to find the equivalent expression to the given expression.

The expression which is equivalent to the given expression is given by

Option D: 7y(-4x + 5)

<h3>What are equivalent expressions?</h3>

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

<h3>What is distributive property of multiplication over addition?</h3>

Suppose a, b and c are three numbers. Then we have:

a(b + c) = a \times b + a \times c

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

<h3>Using the above property and the fact that 28 and 35 are multiples of 7 to get the equivalent expression</h3>

The given expression is -28xy + 35y

Since 28 = 7 times 4 and 35 = 7 times 5

Thus,

-28xy + 35y = -7 \times 4 \times x \times y + 7 \times 5 \times y = 7y(-4x + 5)

Thus,

The expression which is equivalent to the given expression is given by

Option D: 7y(-4x + 5)

Learn more about equivalent expressions here:
brainly.com/question/10628562

3 0
3 years ago
T costs $6 per pound for peanuts at Blessed Food Market. Which of the following represents the range of the function in terms of
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Answer:

"Cost of Peanuts Purchased" My Guy.

4 0
3 years ago
Read 2 more answers
Intr un album numarul de fotografii s a micsorat cu 50%. Cu cat trebuie sa se mareasca pentru a reveni la numarul initial? Raspu
hodyreva [135]

Răspuns:

100%

Explicație pas cu pas:

Permiteți numărul inițial de fotografii = x

x - 50% din x = x - 0,5x = 0,5x

0,5x + câte% din 0,5x = x

x - 0,5x = y% de 0,5x

0,5x / 0,5x = 1

Prin urmare,

100% = 1

Prin urmare, x trebuie mărit cu 100% pentru a reveni la numărul original.

3 0
3 years ago
Consider the equation ay'' + by' + cy = d, where a, b, c, and d are constants. (a) find all equilibrium, or constant, solutions
Orlov [11]
Rewrite equation so that it is homogeneous . 
ay'' +by' + cy = 0

Solve characteristic equation:
ar^2 +br + c = 0 \\ \\ r = \frac{(-b) \pm \sqrt{b^2 -4ac}}{2a} 

The solutions to the homogeneous equation are:
y = k_1 e^{r_1 t} + k_2 e^{r_2 t}

Finally you need the constant term in "cy" to equal 'd' to satisfy the particular solution.
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4 0
3 years ago
A standard American Eskimo dog has a mean weight of 30 pounds with a standard deviation of 2 pounds. Assuming the weights of sta
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Answer:

Approximately 24–36 pounds

Step-by-step explanation:

Given:

Weight of standard American Eskimo dog has mean= 30 pounds

A standard deviation= 2 pounds

For 99.7% of the dogs according to normal distribution would lie between 3 standard deviations on either side of the mean.

i.e. lower bound= Mean- 3 (standard deviation)

= 30-3(2)

=30-6

=24

Upper bound = Mean +3 (standard deviation)

= 30+3(2)

=30+6

=36

Hence the range of weights : 24-36 pounds

correct answer Approximately 24–36 pounds!

4 0
4 years ago
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