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lord [1]
3 years ago
8

Use the distributive property to write an expression equivalent to 5 Times (3+4)

Mathematics
1 answer:
ivolga24 [154]3 years ago
6 0
The distributive property states:

a(b+c) = ab + ac

Using that we get:

5\times (3+4)\\5(3+4) \\5(3) + 5(4)\\15 + 20\\35

You could also do it like:
5(3+4)\\5(7)\\35

So an expression that is equivalent to 5(3+4) is:

7(2+3)

That is your answer. It gets you the same final answer of 35.

Hope that helped :)
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Suppose that a is a nonzero constant for which the equation ax^2+20x+7=0 has only one solution. find this solution.
Talja [164]
\Delta=0\\\\
\Delta=20^2-4\cdot a\cdot7=400-28a\\
400-28a=0\\
28a=400\\
a=\dfrac{400}{28}=\dfrac{100}{7}


4 0
3 years ago
Find the area of an equilateral triangle with a side of 6 inches
olga55 [171]

Answer:

9√3in^2 hope this helps. found an answer...

5 0
3 years ago
Tammy bought a nightstand that was marked down 60% from an original price of $50. If she paid 10% sales tax, what was the total
AURORKA [14]

Answer: the total cost of the nightstand is $22

Step-by-step explanation:

The original price of the night stand is $50. If the original price of the night stand was marked down by 60%, it means that the amount of money by which it was reduced would be

60/100 × 50 = 0.6 × 50 = 30

The new selling price would be

50 - 30 = $20

If she paid 10% sales tax,the amount of tax paid would be

10/100 × 20 = 0.1 × 20 = 2

Therefore, the total cost of the nightstand would be

20 + 2 = $22

7 0
3 years ago
On the first part of her trip Natalie rode her bike 16 miles and on the second part of the trip she rode her bike 42 miles. Her
-BARSIC- [3]

Answer:

14 mph   ( average speed during the second part of the trip )

Step-by-step explanation:

Let´s call  "x"  the average speed during the first part then

t = 5 hours

t  =  t₁  +  t₂        t₁   and  t₂   times during part 1 and 2 respectively

l = t*v           (  distance is speed by time )      t =  l/v

First part

t₁  = 16/x        and      t₂  = 42 / ( x + 6)

Then

t =   5   =  16/x   +   42 /(x + 6)

5 = [ 16 * ( x  +  6 ) +  42 * x ] / x* ( x + 6 )

5 *x * ( x + 6 )  =  16*x  + 96 +  42 x

5*x² + 30*x  - 58*x - 96  =  0

5*x²  -  28*x  -  96  =  0

We obtained a second degree equation, we will solve for x and dismiss any negative root since negative time has not sense

x₁,₂  =   [28 ± √ (28)² + 1920  ] / 10

x₁,₂  = ( 28  ± √2704 )/ 10

x₁  = 28  -  52 /10        we dismiss that root

x₂  = 80/10

x₂  =  8 mph       average speed during the first part, and the average speed in the second part was 6 more miles than in the firsst part. then the average spedd dring the scond part was 8 + 6 = 14 mph

6 0
3 years ago
Simplify: -16b4 + (-18b4)
GuDViN [60]

Answer:

-34b4

Step-by-step explanation:

Since the variables are the same b4, you just add the constants (-16 & -18).

4 0
1 year ago
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