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
Allisa [31]
3 years ago
10

How to multiply fractions with a mixed number?

Mathematics
1 answer:
Nady [450]3 years ago
4 0
Okay here's an example so if we have 2, 3/2*1/2 we convert the mixed numbers to improper fractions. So in order to solve a mixed number you add the denominator, numerator and whole to get 7/2*1.2
So Multiple
7/2*1/2
Refine the fractions
7/2*2
Multiple the numbers 2*2=4 to get
7/4
and that equals 1, 3/4
You might be interested in
Find the simplified product. 2V5x^3(-3/10x^2)
mariarad [96]

Answer:

Step-by-step explanation:

4 0
3 years ago
Clara has a garden that is 7 feet wide and 4 feet long she has 30 tomato plants to put in the garden each plant needs one square
ankoles [38]
A = L * W
A = 7 * 4
A = 28 sq ft....this is the area of her garden

and if each plant uses 1 sq ft, then there will be (30 - 28) = 2 plants leftover
6 0
3 years ago
Read 2 more answers
Let a1, a2, a3, ... be a sequence of positive integers in arithmetic progression with common difference
Bezzdna [24]

Since a_1,a_2,a_3,\cdots are in arithmetic progression,

a_2 = a_1 + 2

a_3 = a_2 + 2 = a_1 + 2\cdot2

a_4 = a_3+2 = a_1+3\cdot2

\cdots \implies a_n = a_1 + 2(n-1)

and since b_1,b_2,b_3,\cdots are in geometric progression,

b_2 = 2b_1

b_3=2b_2 = 2^2 b_1

b_4=2b_3=2^3b_1

\cdots\implies b_n=2^{n-1}b_1

Recall that

\displaystyle \sum_{k=1}^n 1 = \underbrace{1+1+1+\cdots+1}_{n\,\rm times} = n

\displaystyle \sum_{k=1}^n k = 1 + 2 + 3 + \cdots + n = \frac{n(n+1)}2

It follows that

a_1 + a_2 + \cdots + a_n = \displaystyle \sum_{k=1}^n (a_1 + 2(k-1)) \\\\ ~~~~~~~~ = a_1 \sum_{k=1}^n 1 + 2 \sum_{k=1}^n (k-1) \\\\ ~~~~~~~~ = a_1 n +  n(n-1)

so the left side is

2(a_1+a_2+\cdots+a_n) = 2c n + 2n(n-1) = 2n^2 + 2(c-1)n

Also recall that

\displaystyle \sum_{k=1}^n ar^{k-1} = \frac{a(1-r^n)}{1-r}

so that the right side is

b_1 + b_2 + \cdots + b_n = \displaystyle \sum_{k=1}^n 2^{k-1}b_1 = c(2^n-1)

Solve for c.

2n^2 + 2(c-1)n = c(2^n-1) \implies c = \dfrac{2n^2 - 2n}{2^n - 2n - 1} = \dfrac{2n(n-1)}{2^n - 2n - 1}

Now, the numerator increases more slowly than the denominator, since

\dfrac{d}{dn}(2n(n-1)) = 4n - 2

\dfrac{d}{dn} (2^n-2n-1) = \ln(2)\cdot2^n - 2

and for n\ge5,

2^n > \dfrac4{\ln(2)} n \implies \ln(2)\cdot2^n - 2 > 4n - 2

This means we only need to check if the claim is true for any n\in\{1,2,3,4\}.

n=1 doesn't work, since that makes c=0.

If n=2, then

c = \dfrac{4}{2^2 - 4 - 1} = \dfrac4{-1} = -4 < 0

If n=3, then

c = \dfrac{12}{2^3 - 6 - 1} = 12

If n=4, then

c = \dfrac{24}{2^4 - 8 - 1} = \dfrac{24}7 \not\in\Bbb N

There is only one value for which the claim is true, c=12.

3 0
2 years ago
What type of polygon would a slice of a hexahedron at a vertex create? Explain. What type of polygon would a slice of an icosahe
harina [27]

Answer:

  • hexahedron: triangle or quadrilateral or pentagon
  • icosahedron: quadrilateral or pentagon

Step-by-step explanation:

<u>Hexahedron</u>

A hexahedron has 6 faces. A <em>regular</em> hexahedron is a cube. 3 square faces meet at each vertex.

If the hexahedron is not regular, depending on how those faces are arranged, a slice near a vertex may intersect 3, 4, or 5 faces. The first attachment shows 3- and 4-edges meeting at a vertex. If those two vertices were merged, then there would be 5 edges meeting at the vertex of the resulting pentagonal pyramid.

A slice near a vertex may create a triangle, quadrilateral, or pentagon.

<u>Icosahedron</u>

An icosahedron has 20 faces. The faces of a <em>regular</em> icosahedron are all equilateral triangles. 5 triangles meet at each vertex.

If the icosahedron is not regular, depending on how the faces are arranged, a slice near the vertex may intersect from 3 to 19 faces.

A slice near a vertex may create a polygon of 3 to 19 sides..

3 0
3 years ago
True or false, there are two solutions to the equation |x-21|= -7
notsponge [240]

Answer:

false

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • An isosceles right triangle has sides that are x+2 units long and a hypotenuse that is 8 units long. What is the length of the m
    8·1 answer
  • 24 Is (2,-3) a solution to the linear equation<br> y=5x-13
    9·1 answer
  • A cyclist rode 3.75 miles in 0.3 hours. How fast was she going in miles per hour
    12·2 answers
  • Someone please help me answer this question
    11·2 answers
  • What is 15% of £19.00
    11·1 answer
  • Find the slope of the line? (6,-2) and (2,0)
    7·1 answer
  • How do i cancel this app? -i was just charged $24 and do not have a subscription - what gives Brainly? How do I get my refund? L
    6·1 answer
  • Mr. Rich has 75 papers. He graded 60 papers, and he had a student teacher grade the rest. What percent of the papers did each pe
    7·2 answers
  • What’s the algebraic expression for this
    7·1 answer
  • Solve this system of equations<br><br> 5x + 4y = 6<br> 10x -2y = 7
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!