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Explanation:
[tex]0.\overline{5}[/tex] means that the 5's go on forever because of that horizontal bar over top. So we can write it as [tex]0.\overline{5} = 0.55555\ldots[/tex]
The three dots indicate it goes on forever following that pattern.
Let
x = 0.55555....
Multiply both sides by 10 to move the decimal point 1 spot to the right
10x = 5.55555....
Notice how both x and 10x involve a decimal number such that we have a string of 5's going on forever. If we subtract the two equations, then 10x-x becomes 9x, while the (5.55555....) - (0.55555....) simplifies to 5. The decimal portions cancel out when we subtract since they line up perfectly. We're effectively subtracting 5-0 when we cross off the decimal portions.
After those subtractions, we're left with 9x = 5 which solves to x = 5/9 when you divide both sides by 9.
Use of a calculator should show that 5/9 = 0.555555.... to help confirm the answer. Your calculator may show the last digit to be a 6 instead of a 5, but this is due to rounding. Ideally you should have a string of infinitely many 5's, but the calculator can only how so many digits.
Will spent $15 for 12 pounds of granola. What is his unit rate in dollars per pound?
Answer:
1.25
Step-by-step explanation:
to find the unit rate you have to find out how much one pound will be so you divide 15 by 12 and you get 1.25
How do you write 156 in scientific notation?
Answer:
Why is 156 written as 1.56 x 10^2 in scientific notation?
Step-by-step explanation:
The ice cream vendor ‘s cold box holds 24 ice cream cups. The freezer has 8 cases of ice cream each with 48 cups. How many trips to the freezer will the vendor make if he sells all the ice cream? I have more for my brother.
Answer:
16
Step-by-step explanation:
24/8=3
48/3=16
16x^2 + 10x — 27 = -6x + 5
What are the solutions to this equation?
Answer:
x=1 or x=−2
Step-by-step explanation:
16x2+10x−27=−6x+5
Step 1: Subtract -6x+5 from both sides.
16x2+10x−27−(−6x+5)=−6x+5−(−6x+5)
16x2+16x−32=0
Step 2: Factor left side of equation.
16(x−1)(x+2)=0
Step 3: Set factors equal to 0.
x−1=0 or x+2=0
x=1 or x=−2
Find the slope and y-intercept of the line in each graph.
PLEASE HELP ME IF YOU GET IT RIGHT THEN I WILL GIVE YOU BRAINLIEST JUST HELP ME I BEG OF YOU
Answer: Jody can buy at most 63 sheets of paper
Step-by-step explanation:
you would start by subtracting $18.25 from the total $40, which leaves you with $21.75
you then do 21.75 ÷ (divided by) 0.34
that gives you 63.971, and you can only buy whole sheets of paper, you round to 63 and thats your answer
Which line has a slope of -1/2? Line a, line b, line c, line d
Answer: a
Step-by-step explanation:
Answer:
line d
Step-by-step explanation:
Please help!!! Thank you!!!!!
Answer:
Its the third answer choice
Step-by-step explanation:
Hope this helps
Select all possible solutions
help!
triangle ABC has sides of lengthAB = 10 cm, BC = 12 cm , and AC = 15 cm . List the angles from smallest to largest.
Answer:Ok 19$ fortnite card. Who wants it!, and yes I am giving it away, and remember, share, share, share, and trolls, don't get blocked!
Step-by-step explanation:
i need help with this i really dont understand it. :)
Answer:
see explanation
Step-by-step explanation:
Given 2 sides of a triangle then the third side x is in the range
difference of 2 sides < x < sum of 2 sides
(11)
given 2 sides 2, 6 , then
6 - 2 < x < 6 + 2
4 < x < 8
(12)
Given 2 sides 4, 12 , then
12 - 4 < x < 12 + 4
8 < x < 16
(13)
Given 2 sides 2, 11 , then
11 - 2 < x < 11 + 2
9 < x < 13
tell whether the ratios are equivalent: 3 days to 4 hours and 9 days to 12 hours. show your work.
Answer:
yes.
Step-by-step explanation:
write these ratios as fractions to see if they are proportional
3/4
9/12 -------> this can be simplified by dividing by 3
= 3/4
therefore yes they are equivalent
which statement is true
1.
2.
3.
4.
What is the product of (3to the square root of 8)(4 to the square root of 3)? Simplify your answer
Answer:
A. [tex] 24\sqrt{6} [/tex]
Step-by-step explanation:
Given:
[tex] (3\sqrt{8})(4\sqrt{3}) [/tex]
Multiply both together as shown below:
[tex] (3*4*\sqrt{8}*\sqrt{3}) [/tex]
[tex] 12\sqrt{24} [/tex]
[tex] 12\sqrt{4*6} [/tex]
[tex] 12*\sqrt{4} * \sqrt{6} [/tex]
[tex] 12*2 * \sqrt{6} [/tex]
[tex] 24* \sqrt{6} [/tex]
[tex] 24\sqrt{6} [/tex]
Is 2/5 and 8/20 equivalent
Answer:
Yes, they are.
Step-by-step explanation:
what is the answer of this 5-x=7-2x
Answer:
x = 2
Step-by-step explanation:
5 - x = 7 - 2x
-x + 2x = 7 - 5
x = 2
Answer:
x=2
Step-by-step explanation:
5-x=7-2x
5+x=7 (Move 2x to the other side)
x=2 (Minus 5 from both sides)
Check:
5-x=7-2x
5-2=3
7-(2*2)= 7-4 = 3
(Correct)
give the missing term 4:5=n:45
Answer:
n = 36
Step-by-step explanation:
4 : 5 = n : 45
It can be also written as :-
[tex]\frac{4}{5} = \frac{n}{45}[/tex]
Multiplying both the sides by 45 ,
[tex]=> \frac{4}{5} \times 45 = \frac{n}{45} \times 45[/tex]
[tex]=> n = 4 \times 9 = 36[/tex]
how could you write 4/8 as a percent without dividing? I am really stuck I need help!!! thank you
Answer:
it's 50% because the 4 is just half of 8 (plus if you did divide you get 0.5 and 0.5 as a percent is 50%)
Hope this helped!
Step-by-step explanation:
Jackson invested $750 into a savings bond that earned 3% interest each month. At the same time, he also began saving money in a savings account. The value of the savings account is represented by f(x) = 1,000 + 25x, where x represents the number of months since the account was opened. At the end of how many months did the value of the savings bond first begin to exceed the value of the savings account?
Answer:
33 Is the ANSWERArrange the expressions in increasing order of their estimated
what is 2,394x57,234
Someone plz help me I’m in mine last question
Step-by-step explanation:
21)
Frog C - Frog B
318.5-199.25=119.25 cm
22)
Frog A = 213.33
to the nearest whole number= 213 cm
help help help boi i literally don’t know the answer
What is the area of the circle below?
10 ft
Answer:
CircleSolve for area
A=π r^2
r =Radius
You about this first:The circumference of a circle is its perimeter or distance around it. It is denoted by C in math formulas and has units of distance, such as millimeters (mm), centimeters (cm), meters (m), or inches (in). It is related to the radius, diameter, and pi using the following equations: C = πd. C = 2πr.
Step-by-step explanation:
Hope it is helpful....
What is this answer?
Answer:
B is the correct answer
please help 25 points !!!!!!!!!!!!!!!!!!!
look at the picture below . write a word problem for that equation.
Now we have to,
Write a word problem for the equation,
→ 2/6 × 3/4
Let's write a word problem,
Nobita had got salary, then he spent his 2/6 of his salary for every 3/4 times. How much he had spent totally (in fraction), give the required expression?
a boat traveled 19 kilometers east and 53 kilometers south, how far from its starting position is it?
A 25-foot ladder rest against a house at a point 24.1 feet above the ground. How far away from the house is the base of the ladder?
Answer:
56.3
6.6
Step-by-step explanation:
Answer:
A boat traveled 19 kilometers east and 53 kilometers south, how far from its starting position is it?: √3170≈56.3 km.
A 25-foot ladder rest against a house at a point 24.1 feet above the ground. How far away from the house is the base of the ladder?: √44.19≈6.65 ft.
Step-by-step explanation:
For these questions, we will need to use the pythagorean theorem: a²+b²=c², where a and b are the legs of the right triangle and c is the hypotenuse.
A boat traveled 19 kilometers east and 53 kilometers south, how far from its starting position is it?
In this question, we are looking for the hypotenuse.
19 and 53 are the legs of the triangle, so we can plug it into the equation:
19²+53²=c²
361+2809=c²
3170=c²
√3170=c
56.30275304103699, or approximately 56.3 km.
A 25-foot ladder rest against a house at a point 24.1 feet above the ground. How far away from the house is the base of the ladder?
25 is the hypotenuse since it is leaning sideways and is the longest side. 24.1 is one of the legs.
In this question, we are looking for one of the legs.
Let's plug it in: 24.1²+b²=25²
580.81+b²=625
Subtract 580.81 from both sides.
b²=44.19
b=√44.19
6.647555941848102, or approx. 6.65 ft.
I need help ASAP!!!!!!!
Answer:
yes GFEH ~LKJM and DCBA ~CRQP
Step-by-step explanation:
if you turn the DCBA shape 90 degrees to the right you can easily see that they're the exact same shape
hope this helps!!
if there are 2 beats in each measure and the quarter notes get the beat ( equals 1), what time signature would you be in
Answer:
2/4
Step-by-step explanation:
because if there are two in each measure that automatically makes it two beats out of 4.
HELP PLEASE!!!!!! 20 POINTS!!!!!!!!!!
