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
kykrilka [37]
3 years ago
15

Simon makes 8 towers of 10 blocks each. Ron makes 9 towers of 10 blocks each. How many blocks did they use?

Mathematics
2 answers:
notsponge [240]3 years ago
7 0
they used 107 blocks!
Lady_Fox [76]3 years ago
3 0
They used 170 blocks
You might be interested in
Let X be a set of size 20 and A CX be of size 10. (a) How many sets B are there that satisfy A Ç B Ç X? (b) How many sets B are
Svetlanka [38]

Answer:

(a) Number of sets B given that

  • A⊆B⊆C: 2¹⁰.  (That is: A is a subset of B, B is a subset of C. B might be equal to C)
  • A⊂B⊂C: 2¹⁰ - 2.  (That is: A is a proper subset of B, B is a proper subset of C. B≠C)

(b) Number of sets B given that set A and set B are disjoint, and that set B is a subset of set X: 2²⁰ - 2¹⁰.

Step-by-step explanation:

<h3>(a)</h3>

Let x_1, x_2, \cdots, x_{20} denote the 20 elements of set X.

Let x_1, x_2, \cdots, x_{10} denote elements of set X that are also part of set A.

For set A to be a subset of set B, each element in set A must also be present in set B. In other words, set B should also contain x_1, x_2, \cdots, x_{10}.

For set B to be a subset of set C, all elements of set B also need to be in set C. In other words, all the elements of set B should come from x_1, x_2, \cdots, x_{20}.

\begin{array}{c|cccccccc}\text{Members of X} & x_1 & x_2 & \cdots & x_{10} & x_{11} & \cdots & x_{20}\\[0.5em]\displaystyle\text{Member of}\atop\displaystyle\text{Set A?} & \text{Yes}&\text{Yes}&\cdots &\text{Yes}& \text{No} & \cdots & \text{No}\\[0.5em]\displaystyle\text{Member of}\atop\displaystyle\text{Set B?}&  \text{Yes}&\text{Yes}&\cdots &\text{Yes}& \text{Maybe} & \cdots & \text{Maybe}\end{array}.

For each element that might be in set B, there are two possibilities: either the element is in set B or it is not in set B. There are ten such elements. There are thus 2^{10} = 1024 possibilities for set B.

In case the question connected set A and B, and set B and C using the symbol ⊂ (proper subset of) instead of ⊆, A ≠ B and B ≠ C. Two possibilities will need to be eliminated: B contains all ten "maybe" elements or B contains none of the ten "maybe" elements. That leaves 2^{10} -2 = 1024 - 2 = 1022 possibilities.

<h3>(b)</h3>

Set A and set B are disjoint if none of the elements in set A are also in set B, and none of the elements in set B are in set A.

Start by considering the case when set A and set B are indeed disjoint.

\begin{array}{c|cccccccc}\text{Members of X} & x_1 & x_2 & \cdots & x_{10} & x_{11} & \cdots & x_{20}\\[0.5em]\displaystyle\text{Member of}\atop\displaystyle\text{Set A?} & \text{Yes}&\text{Yes}&\cdots &\text{Yes}& \text{No} & \cdots & \text{No}\\[0.5em]\displaystyle\text{Member of}\atop\displaystyle\text{Set B?}&  \text{No}&\text{No}&\cdots &\text{No}& \text{Maybe} & \cdots & \text{Maybe}\end{array}.

Set B might be an empty set. Once again, for each element that might be in set B, there are two possibilities: either the element is in set B or it is not in set B. There are ten such elements. There are thus 2^{10} = 1024 possibilities for a set B that is disjoint with set A.

There are 20 elements in X so that's 2^{20} = 1048576 possibilities for B ⊆ X if there's no restriction on B. However, since B cannot be disjoint with set A, there's only 2^{20} - 2^{10} possibilities left.

5 0
3 years ago
Half of number q is 4
Anastaziya [24]

1/2 (1q) = 4

insert extra text here

8 0
2 years ago
Twice the sum of a number and 8 is the same aa the difference of 3 and the number. Find the equation that could be used to find
Nezavi [6.7K]

Answer:

f your number is x, then the difference between that number and 8 would be x-8. Twice that is 2(x-8)

 

Three times the sum of the number and 3 would be 3(x+3). So, you get the equation:

 

2(x-8)=3(x+3)

2x-16=3x+9

x=-25

5 0
3 years ago
Joe has eaten 3/5 of a pizza. Jane has eaten 1/6 of a pizza.
Lelu [443]

Answer:

3.6

Step-by-step explanation:

8 0
3 years ago
The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = y minus 4 equals StartFra
Stels [109]

Answer:

Third option: y= \frac{1}{4}x+2

Step-by-step explanation:

<h3><em> The correct form of the exercise is: "The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y -4 = \frac{1}{4}(x -8). What is the slope-intercept form of the equation for this line?"</em></h3><h3><em /></h3>

<em> </em>The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

Given the equation of the line in Point-Slope form:

y -4 = \frac{1}{4}(x -8)

You need to solve for "y" in order to write the given equation of the line in Slope Intercept form.

Then, this is:

y -4 = \frac{1}{4}(x -8)\\\\y-4= \frac{1}{4}x-\frac{8}{4}\\\\y-4= \frac{1}{4}x-2\\\\y= \frac{1}{4}x-2+4\\\\y= \frac{1}{4}x+2

You can identify that the slope "m" is:

m=\frac{1}{4}

And the y-interecept "b" is:

b=2

7 0
3 years ago
Read 2 more answers
Other questions:
  • The universal set in this diagram is the set of integers from 1 to 15. place the integers in the correct place in the venn diagr
    15·2 answers
  • I'm having trouble with #2. I've got it down to the part where it would be the integral of 5cos^3(pheta)/sin(pheta). I'm not sur
    9·2 answers
  • Find an equation for the line perpendicular to 4x+12y=72 and goes through the point (-9,6)
    13·1 answer
  • Which expression is equivalent to (a^8)^4
    5·1 answer
  • 12. Marvin is paying off a $6,800 loan that he
    11·1 answer
  • On a map, there are 3 centimeters between two cities. The actual distance between the cities is 45 kilometers.
    14·2 answers
  • A line with a slope of 5 passes through the point (0,0). What is its equation in slope-intercept form?
    14·1 answer
  • Gary’s pay is $15 per hour. He receives a 6% pay raise. Did her pay increase by the same percent amount as Gary’s? Explain.
    8·2 answers
  • Please Hurry!!!!
    11·1 answer
  • Look at the figure. How can you prove the triangles are congruent?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!