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
kap26 [50]
2 years ago
10

Estimate the sum 10 1/9+ 5 14/15

Mathematics
2 answers:
mezya [45]2 years ago
7 0

Answer: 16\frac{2}{45}

<u>Turn 10 1/9 into an Improper Fraction</u>

Multiply 10*9 and get 90. Now add 1 and get 91.

10\frac{1}{9} =91/9

<u>Turn 5 14/15 into an Improper Fraction</u>

Multiply 5*15 and get 75. Now add 14 and get 89.

5\frac{14}{15} =89/15

New Problem: 91/9+89/15

<u>Find Common Denominator</u>

9: 9,18,27,36,45\\15: 15,30,45,60,75\\CD=45

New Problem: 91/45+89/45

<u>Add</u>

91/45+89/45=722/45

<u>Simplify</u>

722/45=16\frac{2}{45}

cupoosta [38]2 years ago
6 0

Answer:

16 \frac{2}{45}

Step-by-step explanation:

10 \frac{1}{9}  + 5 \frac{14}{15}  \\  \frac{91}{9}  +  \frac{89}{15}  \\  \frac{91 \times 5}{9 \times 5}  +  \frac{89 \times 3}{15 \times 3}  \\  \frac{455}{45}  +  \frac{267}{45}  \\  =  \frac{722}{45}  \\  = 16 \frac{2}{45}

You might be interested in
Divide x^4 + 7 by x - 3.
yaroslaw [1]

Answer:

c

Step-by-step explanation:

Divide using synthetic division, remembering to place a zero to denote the terms x³, x² and x

Since division by (x - 3) then evaluate using h = 3

3 | 1  0  0  0  7

    ↓

    1    3  9  27 81

   ----------------------

    1  3  9  27  88 ← degree 3 polynomial

quotient = x³ + 3x² + 9x + 27 , remainder = 88 → c

5 0
3 years ago
What is the length of ab
Strike441 [17]
It is 56 times 343 yeah
4 0
2 years ago
Intersection point of Y=logx and y=1/2log(x+1)
GalinKa [24]

Answer:

The intersection is (\frac{1+\sqrt{5}}{2},\log(\frac{1+\sqrt{5}}{2}).

The Problem:

What is the intersection point of y=\log(x) and y=\frac{1}{2}\log(x+1)?

Step-by-step explanation:

To find the intersection of y=\log(x) and y=\frac{1}{2}\log(x+1), we will need to find when they have a common point; when their x and y are the same.

Let's start with setting the y's equal to find those x's for which the y's are the same.

\log(x)=\frac{1}{2}\log(x+1)

By power rule:

\log(x)=\log((x+1)^\frac{1}{2})

Since \log(u)=\log(v) implies u=v:

x=(x+1)^\frac{1}{2}

Squaring both sides to get rid of the fraction exponent:

x^2=x+1

This is a quadratic equation.

Subtract (x+1) on both sides:

x^2-(x+1)=0

x^2-x-1=0

Comparing this to ax^2+bx+c=0 we see the following:

a=1

b=-1

c=-1

Let's plug them into the quadratic formula:

x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

x=\frac{1 \pm \sqrt{(-1)^2-4(1)(-1)}}{2(1)}

x=\frac{1 \pm \sqrt{1+4}}{2}

x=\frac{1 \pm \sqrt{5}}{2}

So we have the solutions to the quadratic equation are:

x=\frac{1+\sqrt{5}}{2} or x=\frac{1-\sqrt{5}}{2}.

The second solution definitely gives at least one of the logarithm equation problems.

Example: \log(x) has problems when x \le 0 and so the second solution is a problem.

So the x where the equations intersect is at x=\frac{1+\sqrt{5}}{2}.

Let's find the y-coordinate.

You may use either equation.

I choose y=\log(x).

y=\log(\frac{1+\sqrt{5}}{2})

The intersection is (\frac{1+\sqrt{5}}{2},\log(\frac{1+\sqrt{5}}{2}).

6 0
2 years ago
Classify the triangle shown below. check all that apply? 60 60 60
Stells [14]
Your Answer Is....

A) Acute, C) Equilateral, And D) Isosceles. 

Why?

Acute = All Sides Less Than 90°. Equilateral = All Sides The Same. Isosceles = 2 Or 3 Sides The Same. Therefore, A, C, And D Are Your Answers.

≈≈≈≈ Glad I Could Help, And Good Luck! ≈≈≈≈

My Name: AnonymousGiantsFan 
6 0
3 years ago
Read 2 more answers
What is 4+ 69<br><br> Look in comment
olganol [36]

Answer:

73

Step-by-step explanation:

...wait 69?!?!?!?!

4 0
2 years ago
Read 2 more answers
Other questions:
  • $100 is deposited in the bank at 5% interest compounded continuously. What will be the average value of the money in the account
    8·1 answer
  • Lena deposits and withdraws money from a bank account. This table shows her transactions for March. Week 1= deposit $300 - Week
    13·2 answers
  • What ordered pair is a solution to the equation y=-3x-5
    14·1 answer
  • A train is going 304 miles in 4 hours. If it continues to travel at the same rate, how many miles would it travel in 7 1/2 hours
    12·2 answers
  • 13 out of every 20 cans are recycled. What percentage of cans are recycled?
    10·1 answer
  • Estimate the product by rounding 5 x 5,503
    13·2 answers
  • An air-conditioning company counted 56 invoices at the end of the month. They charge $450 for a new installation and $75
    7·1 answer
  • Please help me with this.
    15·1 answer
  • How much will you spend on an investment if you want to receive $7,000 at an annual rate of 6% compounded weekly in 4 years?
    8·1 answer
  • The radius of a circle is 13 in. Find its circumference in terms of T(pi)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!