Answer:
Solution : 29
Step-by-step explanation:
As this is an equilateral triangle all sides present are congruent.
3x + 8 = 5x - 6 = 2x + 15
3x + 8 = 5x - 6
- 2x = - 14,
x = 7
And hence one side length will be say 3(7) + 8 = 21 + 8 = 29 units. We can double check this solution by substituting x for other side lengths. Remember that all the side length have an equal measure.
5(7) - 6 = 35 - 6 = 29 ✓
2(7) + 15 = 14 + 15 = 29 ✓
A drive has a maximum speed of 10000 revolutions per minute. If a disc has a diameter of 12 cm what is the linear speed, in km/h, of a point 4cm from the center if the disc is spinning at a rate of 7000 revolutions per minute?
Answer:
10.8 km/hr
Step-by-step explanation:
Given that
radius of the diameter is 4 cm
Converting 4 cm to km, we have
4/100000 = 0.00004 km or 4*10^-5 km
Angular speed is given as
v = 2πr/T
Where T is, 1/n,and n is the number of revolutions
v = (2 * 3.142 * 0.00004) / (1/7000)
v = 0.00126 / 0.007
v = 0.18 km/min
This is in km/min, now we convert to km/hr as requested.
0.18 * 60 = 10.8 km/hr
The graph of f(t) = 6.2" shows the value of a rare coin in year t. What is the
meaning of the y-intercept?
fit
10
A. When it was purchased (year 0), the coin was worth $2
B. Every year the coin is worth 6 more dollars.
C. When it was purchased (year 0), the coin was worth $6.
D. In year 1, the coin was worth $12
Answer:
C. When it was purchased (year 0), the coin was worth $6.
Step-by-step explanation:
The y-intercept is 6, indicating the value of the rare coin was 6 in year zero.
Point c d and g lie on plane x. Point e and f lie on plane y. Which statements are true
The true statements are: 3, 4 and 5
Step-by-step explanation:
search it up
Answer:
2,3,and 4
Step-by-step explanation:
The area of quadrilateral ABCD in the below figure is
(a) 57 cm
(b) 95 cm2
(c) 102 cm2
(d) 114 cm
Answer:
a)57
Step-by-step explanation:
what is a short introduction of the story happy prince?
Answer:
happy prince was born and one day he died
What slope is parallel to m=3/4
Answer:
[tex]\large \boxed{{m= \frac{3}{4} }}[/tex]
Step-by-step explanation:
Parralel lines have the same slope.
The slope will be [tex]\frac{3}{4}[/tex]
The line with a slope m = 3/4, the slope of the line parallel to this line will also be 3/4
The slope is the measure of the steepness of a line. It is also known as the gradient of a line.
Two parallel lines are known to have equal slopes. For example;
The line y = 2x - 5 and y = 2x + 3 are parallel because they have the same slope which is 2.Therefore for the line with a slope m = 3/4, the slope of the line parallel to this line will also be 3/4
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I can’t figure this out pls help 17-2p=2p+5+2p
Answer:
p=2
Step-by-step explanation:
17-2p=2p+5+2p
17-2p=4p+5
17=6p+5
12=6p
2=p
Evaluate 4-0.25g+0.5h when g=10 and h=5
Answer:
[tex]4[/tex]
Step-by-step explanation:
[tex]4 - 0.25g + 0.5h = 4 - 0.25(10) + 0.5(5) = 4 - 2.5 + 2.5 = 1.5 + 2.5 = 4[/tex]
Answer:
4Step-by-step explanation:
[tex]4-0.25g+0.5h\\g =10\\h=5\\\\4 -0.25(10)+0.5(5)\\\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=4-0.25\times\:10+0.5\times\:5\\\\\mathrm{Multiply\:the\:numbers:}\:0.25\times\:10=2.5\\=4-2.5+5\times\:0.5\\\\\mathrm{Multiply\:the\:numbers:}\:0.5\times\:5=2.5\\=4-2.5+2.5\\\\\mathrm{Add/Subtract\:the\:numbers:}\:4-2.5+2.5\\=4[/tex]
5{3c-[d-2(c+d)]}
PLS ANSWER WILL MARK BRAINLIEST
Answer:
25c+5d
Step-by-step explanation:
First, write out the equation as you have been given in the problem:
[tex]5(3c-[d-2(c+d)])\\[/tex]
Next, distribute the -2 to the set of parenthesis containing "c+d" and combine any like terms that you can:
[tex]5(3c-[d-2c-2d])\\5(3c-[-2c-d])[/tex]
Then, distribute the "-"to the "-2c-d" in the brackets and combine and like terms that you can:
[tex]5(3c+2c+d)\\5(5c+d)[/tex]
Finally, distribute the coefficient 5 to the terms inside the parenthesis:
[tex]25c+5d[/tex]
Therefore, 25c+5d is you simplified answer to the problem.
hii:) anyone able to help with practice 6? Thanks:)!
Answer:
The answer is
[tex]x = \frac{ {e}^{ \frac{3}{ ln(2) } } }{4} [/tex]Step-by-step explanation:
[tex] ln(2) \times ln(4x) = 3[/tex]Divide both sides of the equation by ln 2
That's
[tex] \frac{ ln(2) ln(4x) }{ ln(2) } = \frac{3}{ ln(2) } [/tex]We have
[tex] ln(4x) = \frac{3}{ ln(2) } [/tex]Covert the logarithm into exponential form using the property
[tex] ln(x) = b\: \: is \: \: \: the \: \: \: same \: \: \: as \: \: \: \:
x = {e}^{b} [/tex]Are all the same
So
[tex] ln(4x) = \frac{3}{ ln(2) } [/tex]is the same as
[tex]4x = {e}^{ \frac{3}{ ln(2) } } [/tex]Divide both sides by 4
We have the final answer as
[tex]x = \frac{ {e}^{ \frac{3}{ ln(2) } } }{4} [/tex]Hope this helps you
3x-2=25 solve equation
Answer:
x=9
Step-by-step explanation:
3x-2=25
Add 2 to each side
3x-2+2=25+2
3x = 27
Divide by 3
3x/3 = 27/3
x = 9
Answer:
x=9
Step-by-step explanation:
3x-2=25
3x =25+2
3x =27
x =27/3
x =9
Step by step please: x^3+2x^2-5x-6=0
Answer:
x=-1, x=2, x=3
Step-by-step explanation:
Factor the left side of the equation.
(x+1)(x^2+x-6)
(x+1)(x-2)(x-3)
Now set everything equal to 0
x+1=0
x-2=0
x-3=0
Now solve for x
therefore, the answer is x=-1, x=2, x=3
[tex] \frac{ {x}^{3} }{x { }^{2} + 2x + 1} [/tex]
Hi! I need help with the problem above. I know the answer to it is x-2+((3x+2)/(x^2+2x+1)), but I need help knowing and understanding the process. I can usually divide polynomials with ease, but I have never had to divide when the divisor is larger than the dividend. Can you please show me how to solve this with long division? Also, if you still have time to help me, how would synthetic division work with this? Thank you in advance!
Since
[tex]\dfrac{x^3}{x^2+2x+1}=\dfrac{x^3}{(x+1)^2}[/tex]
we can perform synthetic division twice, first for
[tex]\dfrac{x^3}{x+1}[/tex]
then dividing the result by [tex]x+1[/tex] again.
... || 1 0 0 0
-1 || -1 1 -1
================
... || 1 -1 1 -1
This translates to
[tex]\dfrac{x^3}{x+1}=x^2-x+1-\dfrac1{x+1}[/tex]
Now divide [tex]x^2-x+1[/tex] by [tex]x+1[/tex]. (Dividing the remainder term by [tex]x+1[/tex] can wait until the end.)
... || 1 -1 1
-1 || -1 2
=============
... || 1 -2 3
or equivalently,
[tex]\dfrac{x^2-x+1}{x+1}=x-2+\dfrac3{x+1}[/tex]
Taking everything together, we have
[tex]\dfrac{x^3}{x^2+2x+1}=\dfrac{x^2-x+1}{x+1}-\dfrac1{(x+1)^2}[/tex]
[tex]\dfrac{x^3}{x^2+2x+1}=x-2+\dfrac3{x+1}-\dfrac1{(x+1)^2}[/tex]
Combine the last two fractions:
[tex]\dfrac{x^3}{x^2+2x+1}=x-2+\dfrac{3(x+1)-1}{(x+1)^2}[/tex]
[tex]\dfrac{x^3}{x^2+2x+1}=x-2+\dfrac{3x+2}{(x+1)^2}[/tex]
which agrees with the solution we found in your other question.
(There's a variant of synthetic division that works with directly dividing a polynomial by another one of any degree, but it's basically just a condensed version of applying the algorithm for dividing a polynomial twice by a linear one, like we've done here.)
What number needs to be eliminated to solve this equation? 3d = -81
Answer:
You must first divide 3 from both sides.
Step-by-step explanation:
Whenever you solve an equation such as this you are always trying to isolate the variable that is given. In this case we are arriving at the value of d alone.
3d = -81
d = -27
Hope this helps!
Answer:
i believe that 3 needs to be eliminated
Step-by-step explanation:
3d÷3=-81÷3
d=27
hope i helped :D
1. Three times the the difference between x and five?
2. One half times a number increased by six?
Answer:
Step-by-step explanation:
1. 3(x - 5)
2. 0.5x + 6.
Answer:
1) 3(x-5)
2) 1/2x+6
Step-by-step explanation:
Three times the difference between x and five.
Three times=3* or 3(
difference between x and five= x-5
Together it will be
3(x-5)
One half times a number increased by six
One half times a number= 1/2x
increased by six= +6
Together it will be
1/2x+6
Hope this helps ;) ❤❤❤
Jose Plans to make a down payment plus monthly payments in order to buy a Harley Davidson motorcycle. At one dealership, he would pay $8,000 down and pay $250 each month. At another dealership, he would pay $10,000 down and pay $125 each month. After how many months would the payment be the same for both dealers? What will that amount be?
a) 16 month
b) $12 000
Step-by-step explanation:$8000 + 250m = $10000 + 125m
250m - 125m = $10000 - $8000
125m = $2000
m = $2000 : 125
m = 16 months
After how many months would the payment be the same for both dealers ?16 months
What will that amount be ?$8000 + $250×16 =
= $8000 + $4000
= $12000
$10000 + $125×16 =
= $10000 + $2000
= $12000
0.138.2 + 0.0032 correct to 1 decimal place
Answer:
Exact: 0.1414
Rounded: 0.1
Step-by-step explanation:
please help me with this
Answer:
14/18 =0.7778
Step-by-step explanation:
14/18 =0.7777.........=0.7778 rounded to the nearest thousandth
Solve for x in the simplest form 11=1/2(x+8)
Answer:
[tex] \boxed{\sf x = 14} [/tex]
Step-by-step explanation:
Solve for x:
[tex] \sf \implies 11 = \frac{1}{2} (x + 8)[/tex]
[tex] \sf 11 = \frac{1}{2} (x + 8) \: is \: equivalent \: to \: \frac{1}{2} (x + 8) = 11 : [/tex]
[tex] \sf \implies \frac{1}{2} (x + 8) = 11[/tex]
[tex] \sf Multiply \: both \: sides \: of \: \frac{1}{2} (x + 8) = 11 \: by \: 2 : [/tex]
[tex] \sf \implies \frac{1}{ \cancel{2}} (x + 8) \times \cancel{2 }= 11 \times 2[/tex]
[tex] \sf \implies 1(x + 8) = 11 \times 2[/tex]
11 × 2 = 22:
[tex] \sf \implies x + 8 = 22[/tex]
Subtract 8 from both sides:
[tex] \sf \implies x + (8 - 8) = 22 - 8[/tex]
8 - 8 = 0:
[tex] \sf \implies x = 22 - 8[/tex]
22 - 8 = 14:
[tex] \sf \implies x = 14[/tex]
The value of x is 4, for the equation 11 = 1/2 (x + 8).
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
The given equation is,
11 = 1/2 (x + 8)
Simplify the equation by multiplying 2 in both the sides,
11 × 2 =2 × 1/2 × (x + 8)
22 = x + 8
Subtract 8 from both the sides,
22 - 8 = x + 8 - 8
14 = x
or x = 14
The required value of x for the given equation is 14.
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Help meeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
by the way and the answer is c for yhe reasin because the of tje by theand i thaith
Enter the mixed number as an improper fraction. 2 3/8 =
Answer:
19/8
Step-by-step explanation:
To find the mixed number
Take the denominator times the whole number
8*2 = 16
Add the numerator
16+3 = 19
Put this over the denominator
19/8
-5-(-7)
Full work plz
Answer:
-5 - (-7) = 2Step-by-step explanation:
-5 - (-7) = -5 + 7 = (-5) + (7) = (7) + (-5) = 7 - 5 = 2
whats the pattern 729, -243, 81, -27, 9
Answer:
This is the product of three nines (three factors of 9). 9 × 9 × 9 × 9 = 6561 --> This is the product of four nines (four factors of 9). It's a common mistake among educators to state that 81 is what we get by "multiplying nine by itself twice".
Expand and simplify 5(2x-1) -2(3x+2) First person to answer gets brainliest !!
Answer:
[tex] \boxed{ \mathsf{ \bold{ \purple{ 4x - 9}}}}[/tex]Step-by-step explanation:
[tex] \mathsf{5(2x - 1) - 2(3x + 2)}[/tex]
Distribute 5 through the parentheses
[tex] \mathsf{10x - 5 - 2(3x + 2)}[/tex]
Distribute 2 through the parentheses
[tex] \mathsf{10x - 5 - 6x - 4}[/tex]
Collect like terms
[tex] \mathsf{4x - 5 - 4}[/tex]
Calculate
[tex] \mathsf{4x - 9}[/tex]
Hope I helped!
Best regards!
please help :) Evaluate the expression: 75+125÷25×5 A.1.6 B. 40 C. 100 D. 76
Answer:
C = 100
Step-by-step explanation:
PEMDAS
multiplication and division first from left to right so
125/25 = 5
5x5 = 25
25 + 75 = 100
Answer:
C. 100
Step-by-step explanation:
To complete this question you must use systems of equations.
First you must complete multiplication or division depending on which comes first in the left to right sequence. In this case it is 125/25 which equals 5. This now makes the equation 75+5 x 5
Next, you complete any other division or multiplication Which in this case is, 5x5. The answer to this is 25, making the new equation, 75+25 which when added together equals 100!
And that is how you use systems of equations. Hope it helps ;)
Rewrite 2/20 : 1/40 as a unit rate
Answer:
[tex]\frac{4}{1}[/tex]
Step-by-step explanation:
Given:
2/20 : 1/40
A). First re-write the ratio as follows;
(i) Change the ratio sign to division (÷). i.e
2/20 ÷ 1/40
(ii) Solve the expression by changing the division to multiplication(×). This also means you will need to swap the numerator and the denominator of the second term. i.e (1 / 40) becomes (40 / 1)
(2/20) × (40 / 1) = [tex]\frac{2}{20}[/tex] × [tex]\frac{40}{1}[/tex] = [tex]\frac{4}{1}[/tex]
B). Now convert the result from above to unit rate. A unit rate is a rate in which the denominator has a value of 1.
So to convert [tex]\frac{4}{1}[/tex] to unit rate, we keep simplifying until the denominator becomes 1.
And since the denominator is already 1, there is no need for further simplification.
Therefore, 2/20 : 1/40 to unit rate is [tex]\frac{4}{1}[/tex]
Answer:4/1
Step-by-step explanation:
I say this because you are supposed to divided it and the answer is 4 then you find the answer choice with a 1 as the denominator and it should say 4/1 and that is the correct answer.
2.67 (7 repeating) as a fraction
Answer:
241/90 or 2 61/90
Step-by-step explanation:
Let's call the given number 2.67(7) = x
Then use below steps:
10x = 26.7(7)100x = 267.7(7)100x - 10x = 241 ⇒ subtract to get rid of the repeated part90x=241 ⇒ solve to get fractionx= 241/90 = 2 61/90 ⇒ answer241/90
2 61/90
Step-by-step explanation:2.67(7) =
= (2677 - 267)/900
= 2410⁽¹⁰/900
= 241/90
= 2 61/90
What is an equation of the line that passes through the points (6,2) and (-6, -8)?
Put your answer in fully reduced form.
Step-by-step explanation:
Hey, there!!
Let me simply clear you.
The given points are (6,2) and (-6,-8).
Remember if you are finding the equation of the line passing through point, you will get equation in slope intercept form.
If there is two point you simply use one point formula. {i.e (y-y1)= m(x-x1)} (as the slope will be given too).If you are finding the equation for two points then use double point formula for the equation. { i.e (y-y1) = (y2-y1/x2-x1) × (x-x1)}.As in your question there are two points we must use double point formula,
[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]
[tex]( y - 2) = \frac{ - 8 - 2}{ - 6 - 6} (x - 6)[/tex]
Simplifying them we get,
6(y-2)= 5(x-6)
6y - 12 = 5x -30
Therefore, 5x - 6y - 18 = 0 is the required equation.
Hope it helps.....
Solve for h.
-12h + 4 = 0
Answer:
[tex]h=1/3[/tex]
Step-by-step explanation:
So we have the equation:
[tex]-12h+4=0[/tex]
Subtract 4 from both sides:
[tex](-12h+4)-4=(0)-4\\-12h=-4[/tex]
Divide both sides by -12:
[tex](-12h)/-12=(-4)/-12\\h=-4/-12[/tex]
Simplify and reduce:
[tex]h=1/3[/tex]
Answer:
h =1/3
Step-by-step explanation:
[tex]-12h + 4 = 0\\\\\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}\\-12h+4-4=0-4\\\\\mathrm{Simplify}\\-12h=-4\\\\\mathrm{Divide\:both\:sides\:by\:}-12\\\frac{-12h}{-12}=\frac{-4}{-12}\\\\Simplify\\h=\frac{1}{3}[/tex]
Which equation represents this proportional relationship
y=3x
y=1/6x
y=6x
y=1/3x
Answer:
I think that, please check it y=3x