1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MAVERICK [17]
3 years ago
8

Are these expressions equivalent 20d - 16 and 4(5d - 4)

Mathematics
2 answers:
ELEN [110]3 years ago
4 0

Answer:

Yes

Step-by-step explanation:

If we where to simplfy the 4(5d - 4) it would be 20d - 16 and that is equivalent to 20d - 16.

weqwewe [10]3 years ago
3 0

Answer: Yes they are equivalent

--------------

The reason why is because

4(5d - 4) = 4*(5d) + 4(-4) = 20d - 16

You multiply the outer term 4 by each term inside the parenthesis

4 times 5d = 4*5d = 20d

4 times -4 = 4*(-4) = -16

I'm using the distributive property.

---------------

Alternatively, you can start with 20d - 16 and factor out the GCF 4. Divide each term by 4 to get

20d/4 = 5d

-16/4 = -4

So after dividing each term of 20d-16 by 4, we get 5d-4 and the 4 will be pulled out to say 20d - 16 = 4(5d - 4)

As you can probably see, factoring is just thinking of distributing in reverse. Instead of multiplying each term by the same number, you divide each term by the same number. You can distribute the 4 back in to check your factorization.

You might be interested in
The police department uses a formula to determine the
laiz [17]

9514 1404 393

Answer:

  78.71 mph

Step-by-step explanation:

You're looking for the solution to ...

  d = 88

  0.0015r^2 +r = 88

  0.0015r^2 +r -88 = 0

Using the quadratic formula*, we find ...

  r = (-1 +√(1² -4(0.0015)(-88)))/(2×0.0015)

  r = (-1 +√1.528)/0.003 = 0.236123/0.003 = 78.7077

The speed of the car was about 78.71 mph.

_____

* The quadratic formula will also give a negative answer of about -745 mph, which is not relevant to the situation.

8 0
2 years ago
A triangle with a base of 10 units and height of 8 units. Find the area of the triangle. The area of the triangle is square unit
Semmy [17]
The area is 40 units
6 0
3 years ago
Read 2 more answers
Help please asap PLEASE TELL ME THE WORKING AS WELL.​
DanielleElmas [232]

Answer:

a = 9 / 7

step by step explanation:

9 / - a + 15 = 8

Determined the defined range

9 / ( - a ) + 15 = 8 , a ≠ 0

subtract 15 from each side

9 / - a + 15 - 15 = 8 - 15

calculate the difference

9 / - a = - 7

multiply both side of equation by - a

9 / - a × - a = - 7 × - a

9 = 7 a

divide each side by of equation by -7

9 / 7 = 7 a / 7

9 / 7 = a

swap the side of equation . ( optional )

a = 9 / 7

6 0
3 years ago
Read 2 more answers
Shadow Software company earned a total of 800,009 selling programs during the year 2012. 125,300 of taht amount was used to pay
Softa [21]
Subtract 125,300 from 800,009. From there you find that they made 674,709 in profit. Answer is 674,709
6 0
3 years ago
If a frozen yogurt has 75 calories in 2 oz, how many are in 8 oz of yogurt?
irina [24]

Answer:

The answer would be 300 calories

Step-by-step explanation:

To find the amount of calories in 8 ounces we need to make the ounce amount the same. Let x equal the number of calories.

75/2=x

To get to 8 ounces we need to multiply the bottom by 4. and what we do to the bottom we do to the top.

75*4/2*4=x

multiply

300/8=x

There are 300 calories in 8 ounces.

4 0
3 years ago
Other questions:
  • Store A is offering two tubes of lip gloss for $7. The costs for lip gloss at Store B are shown in the table. Assume the cost fo
    6·1 answer
  • What is the area of the polygon?
    7·1 answer
  • Lorinda has 101010 books on her bookshelf. \blue{\text{$6$}}6start color #6495ed, start text, 6, end text, end color #6495ed of
    12·1 answer
  • 0.0125 convert to fraction
    12·2 answers
  • What are the terms and coefficients of the expression?<br><img src="https://tex.z-dn.net/?f=12%20%2B%208r%20-%203%28s%20-%205%29
    10·1 answer
  • Which is the correct identity for cos(π/2-θ) ? A. cos θ B. sin θ C. sec θ D. csc θ
    5·2 answers
  • Suppose U1 and U2 are i.i.d. Unif(0,1) withU1=0.1 and U2=0.8. Use the "cosine" version of Box-Muller to generate a single Nor(-1
    11·1 answer
  • Can you guys please help me..
    8·1 answer
  • 6.
    7·1 answer
  • 1+1*4+3-7+5*23-13+450123*0
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!