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astra-53 [7]
3 years ago
8

Use the Distributive Property to write each expression as an equivalent expression. Then evaluate it.

Mathematics
1 answer:
Alla [95]3 years ago
5 0

Distributive property means that you must multiply the number directly outside the parentheses to all the numbers inside the parentheses

Look at the image below for the work!

Hope this helped!

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What is the probability of drawing a 3 or a 4 or a heart from a deck of cards?
Effectus [21]
\Omega=\{2\spadesuit;\ 3\spadesuit;...;A\spadesuit;2\heartsuit ;\ 3\heartsuit;...;A\heartsuit;\ 2\diamondsuit;\ 3\diamondsuit;...;A\diamondsuit;\ 2\clubsuit;\ 3\clubsuit;...;A\clubsuit\}\\\\|\Omega|=52\\\\A=\{3\spadesuit;\ 4\spadesuit;\ 3\diamondsuit;\ 4\diamondsuit;\ 3\clubsuit;\ 4\clubsuit;\ 2\heartsuit;\ 3\heartsuit;\ 4\heartsuit;...;A\heartsuit\}\\\\|A|=2+2+2+13=19\\\\P(A)=\dfrac{|A|}{|\Omega|}\to P(A)=\dfrac{19}{52}

Answer:\ \dfrac{19}{52}
5 0
3 years ago
Which equation is equivalent to 9x+4y=16
g100num [7]

Answer:

8x time 2x= 16

4 0
3 years ago
Find three consecutive numbers such that the sum of one-fourth the first and one-fifth the second is five less than one-seventh
mafiozo [28]

Answer:

The numbers are -16,-15 and -14

Step-by-step explanation:

Let

x ----> the first number

x+1 ----> the second number

x+2 ---> the third number

we know that

(1/4)x+(1/5)(x+1)=(1/7)(x+2)-5

Multiply by (4*5*7) both sides

35x+28(x+1)=20(x+2)-140*5

35x+28x+28=20x+40-700

43x=-688

x=-16

so

x+1=16+1=-15

x+2=-16+2=-14

The numbers are -16,-15 and -14

5 0
3 years ago
Do you think it is easy to determine the solution set of a system of linear equations by graphing? Explain your answer.​
iogann1982 [59]

Answer:

Yes, if you keep all of this in mind... This all came from my lesson during class btw.

Step-by-step explanation:

Each shows two lines that make up a system of equations. If the graphs of the equations intersect, then there is one solution that is true for both equations. If the graphs of the equations do not intersect. Almost any situation where there is an unknown quantity can be represented by a linear equation, like figuring out income over time, calculating mileage rates, or predicting profit. Many people use linear equations every day, even if they do the calculations in their head without drawing a line graph. When both equations have the same slope, but not the same y-intercept, they'll be parallel to each other and no intersections means no solutions. When both equations have different slopes than regardless of the y-intercept they'll intersect for certain, therefore it has exactly one solution. The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.

3 0
3 years ago
How do you explain how to find the area of a combined rectangle
Olin [163]

Answer:

I explain down below:

Step-by-step explanation:

First, you divide the combined rectangle into separate parts. Then you find the area of the first rectangle. Then the second and/or third one.

After all the areas have been solved, you add all of the areas together.

Hope this helps!

4 0
3 years ago
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