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omeli [17]
3 years ago
9

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

y (Negative 4 x 5).
Mathematics
1 answer:
GREYUIT [131]3 years ago
3 0

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

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Can someone help me out please
Levart [38]

Answer:

x = 9

∠B = 7 x 9 - 1 = 62°

∠BCD = 120°

Step-by-step explanation:

exterior angle of a triangle is equal to the sum of two opposite interior angles

∠BCD = ∠CBA + ∠BAC

10x + 30 = (7x - 1) + (58)

10x + 30 = 7x + 57

3x = 27

x = 9

∠B = 7 x 9 - 1 = 62

∠BCD = 10 x 9 + 30 = 120

7 0
3 years ago
I need help I dont know how to do it
ludmilkaskok [199]

To solve this problem, we will use the completing the square method of solving quadratic equations

12)

First we find half the coefficient of x:

\begin{gathered} \frac{1}{2}\text{ of B}=\frac{B}{2} \\  \end{gathered}

4 0
1 year ago
Ian’s monthly allowance is $21. In January he starts saving for a birthday gift in June. Each month he saves 2/3 of his allowanc
Art [367]

He starts saving $ in January to buy a gift in June. (which is 6 months, or 5 months not including June)

Each month he saves 2/3 of his allowance, which is $14.

[his allowance each month is $21, 2/3 of his allowance is $14]

(you multiply 21 by 2/3 = 42/3 = 14)

The gift he wants to buy is $110


x = the number of months

y = total cost


14x = y  

14x = 110    [he saves $14 each month, he wants to have a total of $110 to buy a gift]


Plug in 6 for x in the equation

14(6) = 110

84 = 110   (He is $26 short, so saving either for 5 or 6 months will not get Ian $110)


Ian will not have enough money because he is $26 short for 6 months or $40 short for 5 months. (you can decide whether you want to go by 5 months or 6(including June), sorry for the confusing answer)

4 0
4 years ago
What percent is 56 of 200​
GrogVix [38]

Answer:

28%

Step-by-step explanation:

7 0
3 years ago
The drama clue is showing a video of their recent play. The first showing begins at 1:30 p.m. The second showing is scheduled at
OLga [1]
-----------------------------------------------
Given information
-----------------------------------------------
First showing : 1.30pm
Second showing : 4.15 pm
Inbetween : 1/2 hour break

-----------------------------------------------
Find the time the first showing ends
-----------------------------------------------
1/2 hours before 4.15pm
⇒ 30 mins before 4.15pm
⇒ 3.45pm

-----------------------------------------------
Calculate the duration of the firs show
-----------------------------------------------
1.30pm to 3.30pm = 2 hours
3.30pm to 3.45pm = 15 mins
Total duration = 2 hours 15 mins

-----------------------------------------------
Answer: 2 hours 15 mins
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7 0
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