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4vir4ik [10]
3 years ago
15

Explain how you know whether to add or subtract when you use the distributive property to multiply?

Mathematics
2 answers:
Anettt [7]3 years ago
6 0

Answer: You must see if it is a distributive property of multiplication over addition or a distributive property of multiplication over subtration.

Step-by-step explanation:

You can find two kind of expressions in this property:

- Distributive property of multiplication over addition: When you mulitply a sum by a number. For example:

a(b+c)=ab+ac

-  Distributive property of multiplication over subtration: When you mulitply a subtration expression by a number. For example:

a(b-c)=ab-ac

Y_Kistochka [10]3 years ago
4 0

Answer:

Distributive property is only for multiplication of two or more terms

Step-by-step explanation:

Distributive property:

It is an algebra property which is used to multiply a single term and two or more terms

So, distributive property is for multiplication only

For example:

For two terms:

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

For more than two terms:

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

Suppose, we want to multiply

7 with (9+3)

then we can use distributive property

7(9+3)=7\times 9 +7\times 3

7(9+3)=63+21

7(9+3)=84

We can verify it

7(9+3)=7\times (12)

7(9+3)=84

So, distributive property is only for multiplication of two or more terms

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The speed of the current in a creek is 5 mph. A person clan kayak 3 mi upstream in the same time that it takes him to kayak 13 m
Brut [27]

Answer:

8

Step-by-step explanation:

0) the basic formula is: L=v*t, where L - distance, v - speed/velocity; t - time;

1) if the person's speed in still water is 'v' and the speed of water is 5 (according to the condition), then the upstream speed is 'v-5' and the downstream speed is 'v+5';

2) according to the condition the upstream time and the downstream time are the same, it means t₁=t₂=t, where t₁=upstream time and t₂=downstream time;

3) according to the items above it is possible to make up the equation of the upstream travel: t(v-5)=3; ⇒ t=3/(v-5);

4) according to the items above it is possible to make up the equation of the downstream travel: t(v+5)=13; ⇒ t=13/(v+5);

5) if t=3/(v-5) and t=13/(v+5), then

\frac{3}{v-5} =\frac{13}{v+5}; \ => \ v=8.

8 0
2 years ago
Perform the indicated operations. Reduce the answers to lowest terms .<br>​
kozerog [31]

Step-by-step explanation:

1. (2+4+1)/9 = 7/9

2. 2 1/3 + 2/3 = 2 + (1+2)/3 = 2 + 3/3 = 2+1 = 3

3. 1 1/5 + 2 3/5 = 1+2 + 1/5 + 3/5 = 3 + (1+3)/5 =

3 4/5

4. 5/6 + 2/10 + 1/5 = 5/6 + 1/5 + 1/5 = 5/6 + 2/5

= (5×5)/(6×5) + (2×6)/(5×6)

= 25/30 + 12/30

= (25+12)/30

= 37/30 = 1 7/30

5. 3 1/2 + 4 2/3

= 3+4 + 1/2 + 2/3

= 7 + (1×3)/(2×3) + (2×2)/(3×2)

= 7 + 3/6 + 4/6

= 7 + (3+4)/6 = 7 7/6 = 8 1/6

6. 9/13 - 5/13 = (9-5)/13 = 4/13

7. 7 6/8 - 5 2/8

= (7-5) + (6/8 - 2/8)

= 2 + 4/8

= 2 1/2

8. 2/3 - 3/7

= (2×7)/(3×7) - (3×3)/(7×3)

= 14/21 - 9/21 = (14-9)/21 = 5/21

9. 11 1/5 - 5 4/5

= 10 6/5 - 5 4/5

= (10-5) + (6/5 - 4/5)

= 5 + 2/5 = 5 2/5

10. 15 4/5 - 7 7/10

= (15-7) + (4/5 - 7/10)

= 8 + (4×2)/(5×2) - 7/10

= 8 + 8/10 - 7/10

= 8 + 1/10

= 8 1/10

6 0
2 years ago
The summer solstice can occur on any day of the week with each day being equally likely. What is the probability the summer sols
chubhunter [2.5K]
Out of a single week it's 2/7. Out of a month it'd be 8/30 with only 30 days in a month. I hope this helps.
6 0
3 years ago
Read 2 more answers
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Alex787 [66]

Answer:

The answer is C.

Step-by-step explanation:

In order to find the value of m, you have to eliminate -10 on the right side by adding 10 to both sides :

8 = -10 + m

8 + 10 = -10 + m + 10

18 = m

m = 18

5 0
3 years ago
Read 2 more answers
In the triangles, Line segment B C is-congruent-to line segment D E and Line segment A C is-congruent-to line segment F E. Trian
harina [27]

Answer:

Longer than

Step-by-step explanation:

The lengths of sides A C and F E are congruent. The lengths of sides B C and D E are congruent. Therefore:

AC = FE, BC = DE

Also m∠C is greater than m∠E

∠C is the angle opposite to line AB and ∠E is the angle opposite to line DF. Since AC = FE, BC = DE and m∠C is greater than m∠E. The length of a side of a shape is proportional to its opposite angle, since the opposite angle of AB is greater than the opposite angle of DF  therefore AB is greater than DF

3 0
3 years ago
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