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
monitta
3 years ago
9

My little sister need help with this problem. Annabelle arranged her 42 building blocks into 3 rows of 14 blocks. Then, she rear

ranged them into 6 rows of 7 blocks. What two other factor pairs could Annabelle use to help her rearrange the blocks again?
Explain your answer using complete sentences.
Mathematics
2 answers:
Tcecarenko [31]3 years ago
7 0
Annabelle could arrange her blocks in one row of 42 building blocks as 1 times 42 = 42.

She could also arrange her blocks in 2 rows of 21 blocks because 2 times 21 is also 42.
tensa zangetsu [6.8K]3 years ago
3 0

Answer:

21 rows and two Blocks

1 row 42 Blocks

Step-by-step explanation:

Number of blocks with Annabelle = 42

First arrangement = 3 rows 14 blocks

Second arrangement = 6 rows 7 blocks

Solution

The other two factor pairs that could be used to rearrange the blocks again?

Solution:

Here, we will have to find the factor pairs of total number of blocks present with Annabelle.

i.e. 42

First of all, let us have a look at the factor pairs of 42.

Therefore, the other two factor pairs can be 2, 21 and 1, 42.

The other two possible factor pairs are:

21 rows 2 blocks

1 row 42 blocks

You might be interested in
What is the recursive formula when given the explicit formula for the following geometric sequence?
satela [25.4K]

Answer:

C

Step-by-step explanation:

Take a careful look at a(n) =  6(-8)^(n-1).

The first term is 6.  This is the result if we let n = 1; 6(-8)^0 = 6(1) = 6.  Thus, we can immediately eliminate possible answer choices A and D.

What's the next term?  Knowing that the first term, a(1), is 6, the next term is found by multiplying this 6 by (-8)^1, obtaining -48.

The next (third) term is found by multiplying this -48 by (-8)^2, obtaining -48*(+64), or - 3072.

Note that the sign of (-8)^(n-1) alternates, being odd when n-1 is odd and even when n-1 is even.

Answer C is the correct one.  

5 0
4 years ago
A circle passes through points A(7,4), B(10,6), C(12,3). Show that AC must be the diameter of the circle.
Artist 52 [7]

so we have three points, A, B and C, if indeed AC is the diameter of the circle, then half the distance of AC is its radius, and the midpoint of AC is the center of the circle, morever, since B is also on the circle, the distance from B to the center must be the same radius distance.

in short, half the distance of AC must be equals to the distance of B to the midpoint of AC, if indeed AC is the diameter.

\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{7}~,~\stackrel{y_1}{4})\qquad C(\stackrel{x_2}{12}~,~\stackrel{y_2}{3}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{12+7}{2}~~,~~\cfrac{3+4}{2} \right)\implies \left( \cfrac{19}{2}~~,~~\cfrac{7}{2} \right)=M\impliedby \textit{center of the circle}

now, let's check the distance from say A to the center, and check the distance of B to the center, if it's indeed the center, they'll be the same and thus AC its diameter.

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{7}~,~\stackrel{y_1}{4})\qquad M(\stackrel{x_2}{\frac{19}{2}}~,~\stackrel{y_2}{\frac{7}{2}})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AM=\sqrt{\left( \frac{19}{2}-7 \right)^2+\left( \frac{7}{2}-4 \right)^2} \\\\\\ AM=\sqrt{\left( \frac{5}{2}\right)^2+\left( -\frac{1}{2} \right)^2}\implies \boxed{AM\approx 2.549509756796392} \\\\[-0.35em] ~\dotfill

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ B(\stackrel{x_1}{10}~,~\stackrel{y_1}{6})\qquad M(\stackrel{x_2}{\frac{19}{2}}~,~\stackrel{y_2}{\frac{7}{2}}) \\\\\\ BM=\sqrt{\left( \frac{19}{2}-10 \right)^2+\left( \frac{7}{2}-6 \right)^2} \\\\\\ BM=\sqrt{\left( -\frac{1}{2}\right)^2+\left( -\frac{5}{2} \right)^2}\implies \boxed{BM\approx 2.549509756796392}

6 0
3 years ago
Stilton is paying for a $25 meal. He has a 15%-off coupon for the meal. After the discount, a 7% sales tax is applied
timofeeve [1]

Answer:

$19.76

Step-by-step explanation:

First you turn the 15% to 0.15 and then you multiply it with $25 to get 3.75.

That isn't the meal though, but the discount you are going to get.

Now subtract 3.75 from 25 to get $21.25

After that multiply 21.25 with 7% which gets you 1.4875

Then, subtract 1.4875 from 21.25 to get 19.7625 which is rounded to $19.76

3 0
3 years ago
A projectile was launched straight up from the ground with an initial velocity of 48 ft/s. The height of the projectile t second
alex41 [277]
Factor f(t) and you can identify the values of t for which the height is zero.
.. f(t) = -16t(t -3)

The projectile lands after 3 seconds in the air. (selection A)

8 0
4 years ago
Find the variance for the given sample data, Round your answer to one more decimal place than the original data 7 725 1 A. 11.8
VladimirAG [237]

Answer:

D. 7.7

Step-by-step explanation:

7.725, 2 does not round up so its left to 7.7

5 0
4 years ago
Other questions:
  • An ostrich can run at a rate of 50 miles in 60 minutes.
    15·1 answer
  • Wrote the fraction below as a sum or difference <br> 40 POINTS!!!! EASY
    12·1 answer
  • You go to buy a new sofa and find that it is on sale.
    15·2 answers
  • The graph of the equation LaTeX: x^2+y^2-20x+14y+28=0
    7·1 answer
  • The sum of two number is 42.Their difference is 12.What are the two numbers?
    11·1 answer
  • 6C + 47M=893.50<br> 25C + 22M=527.86
    9·1 answer
  • Help please and no links!!!!
    15·1 answer
  • Choose the inequality that represents the following graph.
    14·1 answer
  • Write an equation for the line parallel to the given line that contains C.<br> C(3,5); y = - 4x + 5
    12·1 answer
  • Please answer! thanks
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!