Answer:
413_7
Step-by-step explanation:
Convert the following to base 7:
206_10
Hint: | Starting with zero, raise 7 to increasingly larger integer powers until the result exceeds 206.
Determine the powers of 7 that will be used as the places of the digits in the base-7 representation of 206:
Power | \!\(\*SuperscriptBox[\(Base\), \(Power\)]\) | Place value
3 | 7^3 | 343
2 | 7^2 | 49
1 | 7^1 | 7
0 | 7^0 | 1
Hint: | The powers of 7 (in ascending order) are associated with the places from right to left.
Label each place of the base-7 representation of 206 with the appropriate power of 7:
Place | | | 7^2 | 7^1 | 7^0 |
| | | ↓ | ↓ | ↓ |
206_10 | = | ( | __ | __ | __ | )_(_7)
Hint: | Divide 206 by 7 and find the remainder. The remainder is the first digit from the right.
Determine the value of the first digit from the right of 206 in base 7:
206/7=29 with remainder 3
Place | | | 7^2 | 7^1 | 7^0 |
| | | ↓ | ↓ | ↓ |
206_10 | = | ( | __ | __ | 3 | )_(_7)
Hint: | Divide the whole number part of the previous quotient, 29, by 7 and find the remainder. The remainder is the next digit.
Determine the value of the next digit from the right of 206 in base 7:
29/7=4 with remainder 1
Place | | | 7^2 | 7^1 | 7^0 |
| | | ↓ | ↓ | ↓ |
206_10 | = | ( | __ | 1 | 3 | )_(_7)
Hint: | Divide the whole number part of the previous quotient, 4, by 7 and find the remainder. The remainder is the last digit.
Determine the value of the last remaining digit of 206 in base 7:
4/7=0 with remainder 4
Place | | | 7^2 | 7^1 | 7^0 |
| | | ↓ | ↓ | ↓ |
206_10 | = | ( | 4 | 1 | 3 | )_(_7)
Hint: | Express 206_10 in base 7.
The number 206_10 is equivalent to 413_7 in base 7.
Answer: 206_10 =413_7
The tree in Debra's backyard is 6 meters high. How high is it in centimeters?
Be sure to include the correct unit in your answer.
Answer:
600 centimeters. 1 meter is equal to 100 centimeters
What is the solution for x in the equation?
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5) The perimeter of the given square is 56cm. Construct an equation and hnd
the side of the square.
2x
Answer:
side = 14 cm
Step-by-step explanation:
Let 'x' be the side of the square.
Perimeter = 4 * side
= 4*x
= 4x
4x = 56
Solution:
4x = 56
Divide both sides by 4
x = 56/4
x = 14 cm
Lisa takes a night walk after dinner every night. She walks 1/4 mile in 2 minutes. How how does she walk in 10 minutes?
Answer:
Step-by-step explanation:
.25 mile in 2 mins
.25(5) miles in 10 min
1.25 mins in 10 mins
There is 5-2 mins in 10 mins. So times by the 5.
Answer:
Its 1.25
Step-by-step explanation:
express 12 2/3 in simplest radical form
BRAINLEST Please solve this question copy and paste the link! For 5 hours nobody has answered my question so please answer! Link: https://brainly.com/question/19457951
Answer:
As the ratio is 5:3, it totals 8 parts. I would do 480 divided by 8 to get the number of pages per part, then multiply that number into the ratio.
480 / 8 = 60
The value of each part being 60 put into the ratio 5:3 = 60x5 : 60x3
Which gives your answer.
If I charged 30$ a hair cut the whole year how many times would each customer have to come in to get 17,510$
What is the slope of a line parallel to the line whose equation is 6x-2y=32
Answer:
Write this:
y= -3x + 1
Step-by-step explanation:
Solve the equation:
6x -2y = 32
Subtract 6x from both sides
-2y = -6x +32
divide by negative to on both sides
y = -3x -16
ANSWER:
y = -3x (any number ,negative or positive, except 16)
The slope of the line will be 3.
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The equation of parallel line is,
⇒ 6x - 2y = 32
Now,
The slope of two parallel lines are always same.
So, We find the slope of the parallel line.
Since, The standard form of equation line is,
⇒ y = mx + c
Where, m is slope of the line.
So, We can change the equation of parallel line in the standard form.
The equation of parallel line is,
⇒ 6x - 2y = 32
Add 2y both side,
⇒ 6x - 2y + 2y = 32 + 2y
⇒ 6x = 32 + 2y
Subtract 32 both side,
⇒ 6x - 32 = 2y
⇒ 2y = 6x - 32
Divide by 2, we get;
⇒ y = 3x - 16
Compare with y = mx + c, we get;
The slope of the line (m) = 3
Thus, The slope of the line will be 3.
Learn more about the equation of line visit:
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Find the next two numbers and state a rule describing each pattern
44. 0,7,14,21, ... 45. 1,3,9,27, ... 46. 1,4,9,16, ...
Answer: Informally: When you multiply an integer (a “whole” number, positive, negative or zero) times itself, the resulting product is called a square number, or a perfect square or simply “a square.”
Step-by-step explanation:
So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.
Use a geometric model to factor x2 - 9 by following these steps:
Step 1: Model x2 - 9 by placing tiles in the product section. (Do not try and form a rectangle.)
Answer:(x-3) (x+3)
Step-by-step explanation:
The equation x^2 - 9 is modeled by placing tiles. The image is attached below.
What is tile modeling?It is the kind of modeling in which tiles are used to represent products. It provides a visual representation of the multiplication.
How can we make a model of multiplication?To make a model, first, we must factorize the expression.
The given expression is x^2 - 9.
This can be factored as shown below:
x^2 - 9 = (x - 3)(x + 3)
We must now make a horizontal row containing x, -1, -1, and -1.
Similarly, we must make a vertical column containing x, 1, 1, and 1.
Now we must multiply each row and columnn to together and add them together as shown below:
x^2 - x - x - x + x + x + x - 9 = x^2 -9
This is the same as the given expression.
Thus, we have modeled the given expression by placing tiles in the product section.
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very easy! 6th grade stuff! brainliest promised!
Answer:
It's Number A.
Step-by-step explanation:
It is number A because she walks 15 miles per hour, the ratio would be
hours - miles.
So, it means there are 15 miles to 4 hours.
SOMEONE HELP?!! ASAP !! I’ll give brainliest!! Please and ty !!
Answer:
[tex](\pi 4^2 (9))-(\pi 2^2 (9))[/tex]
and
[tex]339.292 cm^3[/tex]
Step-by-step explanation:
This question is simple once you break it down.
Let's concentrate on the outer cylinder.
First, find the volume of the outer cylinder.
The volume of a cylinder is expressed as: [tex]V = \pi r^2 h[/tex]
Gathering information from the diagram..
d = 8 cm
h = 9 cm
You can get the radius from the diameter by just dividing the diameter by 2.
[tex]r = \frac{8}{2}=4[/tex]
r = 4
Plug everything into the volume equation.
[tex]V = \pi 4^2 (9)[/tex]
Don't solve just yet!
Now, find the volume of the inner cylinder.
Do the exact same thing as you did for the outer cylinder.
d = 4 cm
h = 9 cm
[tex]r = \frac{4}{2}=2[/tex]
r = 2
Plug everything into the volume equation..
[tex]V = \pi 2^2 (9)[/tex]
The question asks for an expression to represent the volume of the large cylinder after the cylindrical hole is removed. This means you need to subtract the volume of the cylindrical hole from the volume for the large cylinder.
Again, the volume for the large cylinder is [tex]V = \pi 4^2 (9)[/tex] and the volume for the cylindrical hole is [tex]V = \pi 2^2 (9)[/tex]
This means..
[tex](\pi 4^2 (9))-(\pi 2^2 (9))[/tex]
That is your answer to the first part of the question.
For the second part, just solve.
[tex](\pi 4^2 (9))-(\pi 2^2 (9))[/tex]
[tex](\pi*16*9)-(\pi*4*9)[/tex]
[tex](\pi*144)-(\pi*36)[/tex]
[tex]144\pi-36\pi[/tex]
[tex]108\pi[/tex]
[tex]339.292[/tex]
Don't forget the units.
[tex]339.292 cm^3[/tex]
Hope this helped you!
Answer:
What ever the other guy said
Step-by-step explanation:
THIS IS 30PTS. help hi
Answer:
The first one.The first one.The first one The first one too (not 100 percent sure, though) And once again, the first one.Step-by-step explanation:
The sign should change (flip) when dividing by a negative number.
I hope all is correct. Good luck
Answer:
x>1
Step-by-step explanation:
2x+5<7
subtract 5 from both sides
-2x<2
divide by negative 2 and flip the sign
x>1
HTH :)
Find the missing side lengths.
Answer:
Sides are 3√2
Step-by-step explanation:
45-45-90 triangle shortcut, both sides are the same but needs to make multiply the √2 to make it the hypotenuse.
WILL GIVE BRAINLY TO THE CORRECT ANSWER Which temperature during the week is farthest from 0? Explain how you decided this using absolute value.
A -3.5 F
B 5 F
C 1.5 F
D -0.5
E -2 F
the rest of the choices 2.5 and -4
Answer:
B
Step-by-step explanation:
Hopes this helps
Answer:
The farthest temperature from zero during the week is 5 °F because it's absolute value, 5, is the highest out of all the other numbers. So its answer B!
Step-by-step explanation:
Multiply. Write your answer in scientific notation.
(3 * 1010)(2 x 1010)
Answer:
6,120,600
Step-by-step explanation:
5(x - 6) + 2 = 7x - 8
what is x
Answer:
x = -10
General Formulas and Concepts:
Order of Operations: BPEMDAS
Properties
DistributiveStep-by-step explanation:
Step 1: Define equation
5(x - 6) + 2 = 7x - 8
Step 2: Solve for x
Distribute 5: 5x - 30 + 2 = 7x - 8Subtract 5x on both sides: -30 + 2 = 2x - 8Add: -28 = 2x - 8Add 8 on both sides: -20 = 2xDivide 2 on both sides: -10 = xRewrite: x = -10Step 3: Check
Plug in x to verify it's a solution.
Substitute: 5(-10 - 6) + 2 = 7(-10) - 8Subtract: 5(-16) + 2 = 7(-10) - 8Multiply: -80 + 2 = -70 - 8Add/Subtract: -78 = -78Determine triangle type?
Answer:
scalene right
Step-by-step explanation:
all side are opposite and there is a 90% so that makes it right
PLZ HELP IM HAVING TROUBLE ON MY RSM!
Answer:
=
64 / 7x -2
Step-by-step explanation:
You multiply 16 and 4/7 than you take away 2 I think im bad at this-
For the function f(x) = (x – 9)7, find f-1(x).
Answer:
Let y=x,
y=(x-9)7
(y+9) ÷7=x
f-1(x)=(y+9)÷7
If it takes 6 men 4 days to dig a hole 3 metres deep, how long will it take 10 men to dig same hole 7 metres deep?
Step-by-step explanation:
6 men → 4 days → 3 metres
1 man → 24 days → 3 metres
1 man → 8 days → 1 metres
1 man → 56 days → 7 metres
10 men → 5.6 days → 7 metres
therefore, 5.6 days
Topic: direct n inverse proportions
If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!
Answer:
It will take 5.6 days for the 10 men to dig the same hole 7 m deep.
Step-by-step explanation:
Laying the data in column
----------------------------------------------------
6 men 3 m hole 4 days
10 men 7 m hole x days
-----------------------------------------------------
As [tex]6[/tex] men dig a hole in [tex]4[/tex] days, so their rate will be:
[tex]rate\:=\:\frac{4}{3}[/tex]
Then [tex]6[/tex] men would take [tex]7\times \frac{4}{3}=\frac{28}{3}[/tex] days to dig a hole of depth 7 m.
As we are letting 10 men do work, so they would
take [tex]\frac{6}{10}\times \frac{28}{3}=\frac{28}{5}[/tex] days.
so
[tex]\frac{6}{10}\times \frac{28}{3}=\frac{28}{5}[/tex]
[tex]=5.6[/tex] days
Therefore, it will take 5.6 days for the 10 men to dig the same hole 7 m deep.
Write the equation of the line that passes through the points (2,5) and (2,-6). Put
your answer in fully redaced point-slope form, unless it is a vertical or horizontal line.
Answer:
Submit Answer
attempt 1 out of
Yolanda paid for her movie ticket using 28 coins, all nickels and quarters. The ticket cost $4. Which system of linear equations can be used to find the number of nickels, n, and the number of quarters, q, Yolanda used?
n + q = 28
0.05n + 0.25q = 4
n + q = 4
5n + 25q = 28
n + q = 28
5n + 25q = 4
n + q = 4
0.05n + 0.25q = 28
Answer:
n + q = 28 0.05n + 0.25q = 4
Answer:
The answer is A :>
Can you please help me
Answer:
6
Step-by-step explanation:
You must multiply both sides by a common multiple of all denominators. Usually, the least common multiple, LCM, is used since it is the smallest common multiple and makes calculations easier.
The LCM of 2, 3, and 6 is 6.
Answer: 6
Help! I’ll give I Brainlyst to the first person but please I need it right now!
Answer:What’s your question?
Step-by-step explanation:
THIS IS 30PTS. help fast
Answer:
1. x>-1 D
2. x<-8 A
3. A
4. C
5.A
Step-by-step explanation:
1. -2x+5<7
-2x<2
x>-1
2. 3-(2x-5)<-4(x+2)
3-2x+5<-4x-8
8-2x<-4x-8
16-2x<-4x
16<-2x
(because youre dividing by a negative, the sign flips. this is not a typo)
-8>x
x<-8
3. A
4. C
5. A
What is the best estimate for the value of the expression?
(34/8-16/3)-14/9
Answer:
The best estimate is -2.64
Step-by-step explanation:
To get the estimate value we are rounding all values to the nearest hundredth
You use BOMDAS/PEMDAS to do this expression
(34/8 - 16/3) - 14/9
= 4.25 - 5.33 - 14/9
= 4.25 - 5.33 - 1.56
= -1.08 - 1.56
= -2.64
Stuart bought a sweater on sale for 30% off the original price and another 25% off the discounted price. If the original price of the sweater was $30, what was the final price of the sweater?
Answer:
$15.75
Step-by-step explanation:
30 multiplied by 0.3 is 9. 30-9 is 21. 21 multiplied by 0.25 is 5.25. 21-5.25 is 15.75
A survey about issues affecting Bluff City Park was
given to 60 residents. The results of the survey are
shown below.
Issue
Yes No
Curfew
48 12
Skateboard use
26 34
Children under 14 accompanied by
38 22
a person at least 14 years old
Assume that the results in the table accurately predict
the response ratios for the town's 1.200 residents. How
many of the 1,200 residents would respond No on the
curfew issue?
F. 240
G. 300
H. 600
J. 680
K. 960
Someone please help me with this! Thanks :)
Answer:
[tex]y=2x+7[/tex]
Step-by-step explanation:
Given the equation
[tex]y=-\frac{1}{2}x[/tex]
comparing the equation with the slope-intercept form
[tex]y=mx+b[/tex]
Here,
m is the slope y is the interceptso the slope of the line is -1/2
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
the slope of the perpendicular line will be: 2
Therefore, the point-slope form of the equation of the perpendicular line that goes through (-2, 3) is:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
substituting the values m = 2 and the point (-2, 3)
[tex]y-3=2\left(x-\left(-2\right)\right)[/tex]
[tex]y-3=2\left(x+2\right)[/tex]
Add 3 to both sides
[tex]y-3+3=2\left(x+2\right)+3[/tex]
[tex]y=2x+7[/tex]