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
Finger [1]
3 years ago
11

Tamara says she used the GCF to factor the expression 21x + 56xy as 7(3x + 8xy). Is she correct? Explain.

Mathematics
1 answer:
coldgirl [10]3 years ago
6 0

Answer:

Tamara incorrectly factored the whole expression.

Step-by-step explanation:

Note that

•21x=3·7·x;

•56xy=2·2·2·7·x·y.

Mark in bold all common factors, then GCF(21x,56xy)=7·x=7x.

Thus,

21x+56xy=7x(3+8y).

Hence, Tamara correctly found the GCF of numbers 21 and 56, but incorrectly factored the whole expression.

You might be interested in
In two or more complete sentences describe why the following series is an example of an infinite series.
Svetlanka [38]

Answer:


Step-by-step explanation:

There are an infinite number of these whole numbers. Thus the series goes on without bounds. Whatever very big number you can think of there is another one which is 1 greater.

4 0
3 years ago
Read 2 more answers
Solve this inequality for x 81 -1 1/5r <55
allsm [11]

81-1\dfrac{1}{5}r < 55\qquad|\text{subtract 81 from both sides}\\\\-\dfrac{1\cdot5+1}{5}r < -26\qquad|\text{change the signs}\\\\\dfrac{6}{5}r > 26\qquad|\text{multiply both sides by 5}\\\\6r > 130\qquad|\text{divide both sides by 6}\\\\r > \dfrac{130}{6}\\\\r > \dfrac{65}{3}\to r > 21\dfrac{2}{3}

7 0
3 years ago
Read 2 more answers
the Hog's head pub decide to make mixture thst is 50% butterbeer. how much of an 80% butterbeer solution should mixed with 20 ga
evablogger [386]
There are 20 gallons of 20% butterbeer solution.
Assume there are x gallons of 80% solution.

So total amount of the solution will be (x+20) gallons
The final solution is 50%.

So, we can set up the equation as:

0.2(20)+0.8(x)=0.5(x+20) \\ \\ 4+0.8x=0.5x+10 \\ \\ 0.8x-0.5x=10-4 \\ \\ 0.3x=6 x=20.

Thus, there will be 20 gallons of 80% butterbeer solution that is needed to be mixed with 20 gallons of 20% butterbeer solution. 

4 0
3 years ago
What would the total bill be of a painting that cost's $44.80 with a tax rate of 6%
Juliette [100K]

p\%=\dfrac{p}{100}\to6\%=\dfrac{6}{100}=0.06\\\\6\%\ of\ \$44.80\ is\ 0.06\cdot\$44.80=\$2.688\approx\$2.69\\\\\$44.80+\$2.69=\$47.49\\\\Answer:\ The\ total\ bill\ is\ \$47.49.

7 0
3 years ago
a car and a lorry started travelling at the same time from town r to town s. When the car arrived in town s, Th lorry had only t
Eddi Din [679]

Answer:

112.5 km

Step-by-step explanation:

The lorry needed 45 minutes to travel the remaining 0.4 of the journey and was traveling at 60 km/hr.

First, convert minutes to hours:

45 min × (1 hr / 60 min) = 0.75 hr

Now use distance equation:

distance = rate × time

0.4d = 60 × 0.75

d = 112.5

The distance between the towns is 112.5 km.

5 0
3 years ago
Other questions:
  • Which of the binomials below is a factor or this trinomial x-2 +5x+6
    8·1 answer
  • todays Temperature is 3 degrees warmer than it yesterday. Write an expression for today's temperature
    7·1 answer
  • Mr. Olaffsen opened a sandwich shop and a smoothie stand in his neighborhood. The following table and equation show function f,
    14·2 answers
  • Which expression is equivalent to (f + g)(4)?
    15·1 answer
  • A set of data with 100 observati removed, what is the mean of the new data se of 267 There are six outliers in the data set, whi
    14·1 answer
  • Help plz I need big help someone plz help me with this question!
    6·1 answer
  • Which figures below are similar?<br><br><br><br> 1 and 2<br> 2 and 3<br> 2 and 4<br> 1 and 4
    15·1 answer
  • Someone help me with this
    13·2 answers
  • The cookie jar has six chocolate chip cookies and five oatmeal cookies. What is the ratio of oatmeal to chocolate chip cookies?
    7·1 answer
  • Which of the following ( 15, 20, 30, 57 ) is the product of exactly three different prime numbers?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!