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Pie
3 years ago
9

1. Multiply using distributive property.

Mathematics
2 answers:
luda_lava [24]3 years ago
7 0

<u>Answer:</u>

2. 3x^2-13x-10<em />

<u>Step-by-step explanation:</u>

<em>Expand (x−5)(3x+2) using the FOIL Method.</em>

Step 2: <em>Apply the distributive property.</em>

<em />x(3x+2)-5(3x+2)<em />

Step 3: <em>Apply the distributive property.</em>

x(3x)+x(2)-5(3x+2)

Step 4: <em>Apply the distributive property.</em>

<em />x(3x)+x(2)-5(3x)-5(2)<em />

<em>Simplify and combine like terms.</em>

Step 5: <em>Simplify each term.</em>

<em />3x^2+2x-15x-10<em />

Step 6: <em>Subtract 15x from 2x.</em>

<em />3x^2-13x-10<em />

RoseWind [281]3 years ago
3 0

Answer:

The distributive property tells us how to solve expressions in the form of a(b + c). The distributive property is sometimes called the distributive law of multiplication and division.

Step-by-step explanation:

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If 32 horses consume 112 kg of grass in a certain period, how much grass will be
Aloiza [94]

Answer:

38.5 kg of grass

Step-by-step explanation:

We can solve this problem by using a proportion. (Kg of grass over horses)

Let x = the amount of grass 11 horses will eat in the same period of time.

112/32 = x/11      Cross multiply

1232 = 32x        Divide both sides by 32

x = 38.5

I hope this helped and please mark me as brainliest!

4 0
2 years ago
An arhitect wants to draw a rectangle with a diagonal of 20 inches. The length of the rectangle is to be 8 inches more than twic
kiruha [24]

The diagonal of a rectangle = sqrt(w^2 + l^2)

w = width

l = length

In this problem,

The diagonal = 20 in

w = x

l = 2x + 8

Let's plug our numbers into the formula above.

20in = sqrt((x)^2 + (2x + 8)^2)

Let's simplify the inside of the sqrt

20 in = sqrt(5x^2 + 32x + 64)

Now, let's square both sides.

400 = 5x^2 + 32x + 64

Subtract 400 from both sides.

0 = 5x^2 + 32x - 336

Factor

0 = (5x - 28)(x + 12)

Set both terms equal to zero and solve.

x + 12 = 0

Subtract 12 from both sides.

x = -12

5x - 28 = 0

Add 28 to both sides.

5x = 28

Divide both sides by 5

x = 28/5

The width cant be a negative number so now we know that the only real solution is 28/5

Let's plug 28/5 into our length equation.

Length = 2(28/5) + 8 = 56/5 + 8 = 96/5

In conclusion,

Length = 96/5 inches

Width = 28/5

4 0
3 years ago
A recipe calls for 2 1/5 cups of chopped tomatoes and 3 2/5 cups of diced turnips how many more cups of turnips did the recipe c
Zarrin [17]
The answer would be 1 1/5 more turnips. 
6 0
3 years ago
Read 2 more answers
A mystery number is multiplied by 11 then 10 is subtracted from it to give you a result of 34. What is the mystery number?
klemol [59]

Answer:

4

Step-by-step explanation:

And let the missing number be x

We can solve using Algebra

11x - 10 = 34

11x = 34 + 10

11x = 44

x = 44/11

x = 4

For verification:

4(11) - 10 = 34

44 - 10 = 34

34 = 34

Hence, Proved

3 0
2 years ago
Question 17, 19 and 21 ?
Vaselesa [24]
If this is Textbook work- use SLADER (the app or the website)
3 0
3 years ago
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