2 1 ​ r−3=3(4− 2 3 ​ r)

Answers

Answer 1

Answer:

3/16

Step-by-step explanation:

21r-3=3(4-23r)

21r-3=12-69r

21r+69r=12+3

80r=15

r=15/80=3/16

Answer 2

Answer:

3

Step-by-step explanation:

on khan I tried the other guys answer it was wrong trust me


Related Questions

Help please urgent 25 point

Answers

Answer:

60

Step-by-step explanation:

b = the hypotenuse of a right angle triangle

a = the adjacent side.

R is being defined by the cosine

cos(R) = adjacent /  hypotenuse

adjacent = 16* sqrt(2)

hypotenuse = 32*sqrt(2)

Cos(R) = 16*sqrt(2) / 32*sqrt(2)      sqrt(2) cancels.

cos(R) = 1/2

R = cos-1(1/2)

R = 60 degrees.

x^2= 14x +11
------------

Answers

Answer:

[tex]x=7+2\sqrt{5} ,7-2\sqrt{5}[/tex]

Step-by-step explanation:

[tex]x^{2} =14x+11[/tex]

[tex]x^{2} -14x-11=0[/tex]

[tex]x\frac{-b\pm\sqrt{b^{2} -4ac} }{2(a)}[/tex]

[tex]x=\frac{14\pm\sqrt{(-14)^{2} -4(1)(-11)} }{2(1)}[/tex]

[tex]x=\frac{14\pm\sqrt{240} }{2}[/tex]

[tex]x=\frac{14\pm4\sqrt{15} }{2}[/tex]

[tex]x=7+2\sqrt{5} ,7-2\sqrt{5}[/tex]

------------------------

OAmalOHopeO

-----------------------

Answer:

Solution given:

x²=14x+11

keeping all term on same side

x²-14x-11=0

trying to make it a perfect square

x²-2*7*x+7²-7²-11=0

By using formula of (x-y)²=x²-2xy+y²we get

(x-7)²-60=0

keeping 60 in right side

(x-7)²=60

doing square root on both side

[tex]\frac{(x-7)²}=\sqrt{60}[/tex]

we get

x-7=[tex]\sqrt{5*3*2*2}[/tex]

x-7=±2[tex]\sqrt{15}[/tex]

So

x=7±2[tex]\sqrt{15}[/tex]

Either

x=7+2[tex]\sqrt{15}[/tex]

or

x=7-2[tex]\sqrt{15}[/tex]

help me please it's important!!​

Answers

Answer:

Does the answer help you?

Answer:

102 cm³

Step-by-step explanation:

Volume of R1:

length = 7 cm

Width = 3 cm

Height = 2 cm

Volume = 7* 3  * 2 = 42 cm³

Volume of R2:

length = 5 cm

Width = 4 cm

Height = 3 cm

Volume = 5 * 4 * 3=  60 cm³

Volume of the figure = 42 + 60 =  102 cm³

Penny attended a four year state college. She took out a student loan to pay for her tuition and room & board for the four years she was attending the college. Her tuition fees were $6,970 per year, and the cost of her room and board was $11,320 per year. Now that she has graduated, she will have to start paying back her loan. Fortunately, Penny has a grace period of one year before she has to start paying back the loan. Her loan details are as follows: there is a fixed-rate interest of 4.5% and the interest compounds each month. During her one year grace period, interest will accrue on the loan, so that when she has to start paying the loan back she will owe more than what she owes now. Her goal is to be able to payoff the loan in 10 years.

Given all of this information, answer the following questions:

1. What is the original loan amount, i.e. how much were the total costs for tuition plus room & board for the four years that Penny attended the college?

2. What is the new loan amount after the one-year grace period (remember that interest will accrue on the loan during this initial 12-month period that she is not paying anything back on the loan)? This is the amount that she will be responsible for paying back. (Round your answer to the nearest whole dollar)

3. Given that she can pay back the loan in full after 10 years of payments, what is the total amount she will end up paying back (both principal and interest that has accrued over the 10 years)? And how much will her monthly payments on the loan be for those 10 years? (Round your answers to the nearest whole dollar)

Answers

Answer:

27,880 for tutitions + 45,280 for room and board= 73,160 total

I really need these answered!

Answers

Answer:

Step-by-step explanation:

#1) [tex]\arcsin \left(0.64958\right)=0.70703\dots \quad \begin{pmatrix}\mathrm{Degrees:}&40.51^{\circ \:}\end{pmatrix}[/tex]

∡C =62.49

[tex]\frac{\left(\sin \left(27^{\circ \:}\right)\right)}{3}=\frac{\sin \left(54^{\circ \:}\right)}{x}\quad :\quad x=\frac{3\left(\sqrt{5}+1\right)}{\sin \left(27^{\circ \:}\right)\cdot \:4}\quad \left(\mathrm{Decimal}:\quad x=5.34603\dots \right)[/tex]

5.
Krishna got on an elevator on the 12" floor and went up 3 floors. If he then went down 8 floors,
what floor is krishna now on?​

Answers

Answer:

Krishna is at the 7th floor

Step-by-step explanation:

Given

[tex]Start = 12[/tex]

[tex]Up = 3[/tex]

[tex]Down = 8[/tex]

Required

The current floor

This is calculated as:

[tex]Floor = Start + Up - Down[/tex]

[tex]Floor = 12 + 3 - 8[/tex]

[tex]Floor = 7[/tex]

(PLEASE HELP ASAP I REALLY DON’T UNDERSTAND THIS PLEASE EXPLAIN)

Answers

Answer:

Intergers

Step-by-step explanation:

A subset is a part of a whole math concept, idea, or sample space.

We need to find what math concept -5 is apart of.

-5 is part of the All Real Numbers section.

-5 is also part of integers as well.

Which equation below has a slope greater than the slope of the line shown above?
A. y = 2 x + 2
B.y = 3x - 1
C. y = - 3
D. y = 4 + 1.75 x​

Answers

Answer:

B.y = 3x - 1

Step-by-step explanation:

Pick two points on the line

(0,1) and (2,5)

The slope using the slope formula

m = (y2-y1)/(x2-x1)

   = ( 5-1)/(2-0)

  = 4/2

  = 2

We want a slope that is greater than 2

The slope intercept form of the equation is

y = mx+b where m is the slope

y = 3x - 1  has a slope of 3 which is greater than 2

Find the square root of 7250 by prime factorisation.

Answers

Answer:

The square root of 7250 is 85.15

Step-by-step explanation:

[tex]{ \boxed{ \sf{7250}}} \\ ↓ \div 2 \\ { \boxed{ \sf{3625}}} \\ ↓ \div 5 \\ { \boxed{ \sf{725}}} \\ ↓ \div 5 \\ { \boxed{ \sf{145}}} \\ ↓ \div 5 \\ { \boxed{ \sf{29}}}[/tex]

Find square roots of divisors:

[tex]{ \sf{ = \sqrt{2} \times \sqrt{5 \times 5 \times 5} \times \sqrt{29} }} \\ = { \sf{ \sqrt{2} \times \sqrt{125} \times \sqrt{29} }} \\ = { \sf{85.15}}[/tex]

[tex]{ \underline{ \sf{ \blue{christ \:† \: alone }}}}[/tex]

Please help! Thank you.

Answers

Answer:

B

Step-by-step explanation:

x((7/2)-(7/3))=y+x

x(7/6)=y+x

7x=6y+6x, x=6y. y/x=1/6

Tyrone measured the floor of his rectangular storage unit. It is 3 feet wide and 8 feet from one corner to the opposite corner. How long is the storage unit? If necessary, round to the nearest tenth.

Answers

Answer:

Rounded to the nearest tenth, 7.4 feet long.

Step-by-step explanation:

Tyrone has a rectangular storage unit. We are given the width and the diagonal length.

So we can use Pythagorean Theorem.

3^2 + b^2 = 8^2

9 + b^2 = 64

subtract 9 from both sides

b^2 = 55

b = sqrt55

b is around 7.4161984871, so b rounded to the nearest tenth is 7.4 feet long.

8x+4=3(x-1) +7 solve​

Answers

Answer:

x = 0

Step-by-step explanation:

8x + 4 = 3(x − 1) + 7

Simplify both sides of the equation:

8x + 4 = (3)(x)+ (3)(−1) + 7

8x + 4 = 3x + (−3) +7

Combine like terms:

8x + 4 = (3x) + (−3+7)

8x + 4 = 3x + 4

Subtract 3x from both sides:

8x + 4 − 3x = 3x + 4 − 3x

5x + 4 = 4

Subtract 4 from both sides:

5x + 4 − 4 = 4 − 4

5x =0

Divide both sides by 5:

5x/5 = 0/5

x = 0

(52)-1 + 5÷1
Answer please..​

Answers

Answer:

I believe this might be the answer 52 − 1 + 5/1= 56

Answer:

56

Step-by-step explanation:

hope it helps ^^.

The distance AB rounded to the nearest tenth = [?]

Answers

Answer:

4.5 units

Step-by-step explanation:

Use the distance formula

[tex]\sqrt{(-1-3)^{2}+(-1-1)^{2} }[/tex]

[tex]\sqrt{16+4}=\sqrt{20}[/tex]

The distance AB on the diagram rounded to the nearest tenth is: 4.5 units

Meaning of Distance

Distance can me defined as a measure that tells us how far apart two objects or individual are to each other.

Distance is very important as it helps us know where exactly things are located and whether they are close or  far apart

In conclusion, The distance AB on the diagram rounded to the nearest tenth is: 4.5 units

Learn more about Distance: https://brainly.com/question/17273444

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Help me please Will give brainlist

Answers

Answer:

Step-by-step explanation:

These are geometric means problems. In the top one, a is the geometric mean as the height for both the smaller triangles inside the big one. Therefore,

[tex]\frac{4}{a} =\frac{a}{25\\}\\a^2=100\\a=10[/tex]

The next one has the geometric mean of b, being a part of the smaller triangle on the left and the big triangle as a whole:

[tex]\frac{4}{b} =\frac{b}{29}\\b^2=116\\b=10.77[/tex]

Find the measure of angle A.

Answers

probably i think it is 22.5°

HELP!!!
I need to know if this is Function or not a function.

Answers

Answer:

Not a function

Step-by-step explanation:

Since  x  =  1  produces  y = 3  and  y  = 4 , the relation is not a function.

( − 2 , − 5) , ( − 1 , − 3 ) , ( 0 , 0 ) , ( 1 , 3 ) , ( 1 , 4 )

The domain cannot be the same value.

Which figure is described below?
The locus of points in a plane
equidistant between
(-5, -6) and (-5, 7).

Answers

Answer:

A.Line

Step-by-step explanation:

The locus of points in a plane equidistant between (-5, -6) and (-5, 7) is describe by the Line. so option A is correct.

What is a line segment?

A line segment is a straight line with finite length, and thus, have to endpoints(points on either ends).

We know that the graph of x = 5 is the vertical line through 5 on the x-axis. Two points on this line are (-5, -6) and (-5, 7).

We form a horizontal line through (0,1) and (1,1). This is the locus of points equidistant between (-5, -6) and (-5, 7)

We have parallel lines like this, the locus of points equidistant from the two lines is always one single line, and it's the middle line as described above.

This applies to diagonal parallel lines as well, and vertical parallel lines.

Hence, The locus of points in a plane equidistant between (-5, -6) and (-5, 7) is describe by the Line. so option A is correct.

Learn more about a point dividing a line segment in a ratio here:

https://brainly.com/question/14186383

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Monica took a survey of her classmates' hair and eye color. The results are in the table below.

What is the conditional relative frequency that a participant has red hair, given that he/she has green eyes.


0.5

0.13

5

0.38

Answers

Answer:

let R represent red hair

let G represent green eyes

from Baye's theorem:

[tex]P( \frac{R}{G} ) = \frac{P(RnG)}{P(G)} [/tex]

P(RnG) = 5

[tex]P(G) = { \sum}(green \: hair) \\ = (3 + 5 + 5) \\ = 13[/tex]

Therefore:

[tex]P( \frac{R}{G} ) = \frac{5}{13} \\ = 0.385[/tex]

The conditional relative frequency = 0.385

The conditional relative frequency will be  0.385

What is Baye's theorem?

It is a theorem showing how to compute the conditional probability of each of a set of possible causes for a given observed outcome using knowledge about the probability of each cause and the conditional probability of each cause's outcome.

let R represent red hair

let G represent green eyes

from Baye's theorem:

[tex]P=\dfrac{R}{G}=\dfrac{P(R\cap G)}{P(G)}[/tex]

P(RnG) = 5

P(G) = ∑(Green hairs)

P(G)= 13+5+5 = 13

Therefore:

[tex]P(\dfrac{R}{G})= \dfrac{5}{13}=0.385[/tex]

The conditional relative frequency = 0.385

Hence the conditional relative frequency will be  0.385

To know more about Baye's theorem follow

https://brainly.com/question/14989160

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Ethan sells e candy bars for $2.50 apiece and Chloe sells c candy bars for $2.00 apiece to raise
money for a school trip. Ethan sold 15 fewer candy bars than Chloe, but he also got a $6.00
donation. If Chloe and Ethan raised the same amount of money, which of the following systems
could be used to find how many candy bars each sold?

Answers

The system that could be used to find how many candy bars each sold is given is option B.

What is the candy bar about?

Since Ethan sold 15 fewer candy bars than Chloe, as portrayed in the question, so:

e = C - 15

Based on the fact that Chloe and Ethan raised the same amount of money, the equation will be:

2C: 2.5e + 6

Therefore, The system that could be used to find how many candy bars each sold is given is option B.

Learn more about candy bars from

https://brainly.com/question/250062

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Given that E=MC find E when M=20 and C =2.5

Answers

Answer:

50 or 125

Step-by-step explanation:

if u want E=MC then it would be 20 ×2.5=50

OR

if u what to find E=MC² then it would be 20×2.5×2.5 =125

ACCORDING TO ME THIS SHOULD BE THE ANSWER, BUT NOT QUITE SURE ABOUT THIS.

Answer:

E = 50

Step-by-step explanation:

If M=20 and C=2.5, replace the letters in the equation with their numerical values so E=20*2.5

20*2.5 = 50

thus E=50

(-8)^-2 / 3^-4 simplify the expression. Write your answer using only positiv exponents.

Answers

Answer:

3^4 / 8^2 or 81/64

Step-by-step explanation:

(-8)^-2 / 3^-4 =

= 3^4 / (-8)^2

= 3^4 / 8^2

= 81/64

The pair of shoe cost 2500,On the ocation of Dashain its cost 2000,how much discount does buyer get?
plz help​

Answers

Total Cost Of Shoe=2500

Totall discount Cost=2000

= 2500-2000

=500

what is the answer to -3/7 x -1 2/3

Answers

Answer:

-9x-35/21

Step-by-step explanation:

Answer:

[tex]\frac{5}{7}[/tex]

Step-by-step explanation:

[tex]\frac{-3}{7}* (-1\frac{2}{3})=\frac{-3}{7}*\frac{-5}{3}\\\\= \frac{5}{7}[/tex]

A car starts from rest. if the velocity of car become 15m/s after 20s calculate the acceleration of the car.​

Answers

Answer:

[tex]0.75 {ms}^{ - 2} [/tex]

Step-by-step explanation:

[tex]acceleration = \frac{velocity}{time} \\ = \frac{15ms ^{ - 1} }{20s} \\ = \frac{3}{4} ms ^{ - 2} \\ = 0.75 {ms}^{ - 2} [/tex]

[tex]\Large\rm{\underbrace{\green{ \: Acceleration \: = \: \ \frac{v}{t} \: }}}[/tex]

V denotes rate of change in Velocity

t denotes time taken

[tex] \bf \large \implies \: Acceleration \: = \: \frac{15}{20} \\ [/tex]

[tex]\bf \large \implies \: Acceleration \: = \: \cancel\frac{15 \: \small \: m /s }{20 \: s} \: = \: \frac{3}{4} \: m /s ^{ - 1} \\ [/tex]

[tex]\bf \large \implies \: Acceleration \: = \: \cancel\frac{3}{4} \:m /s ^{ - 1} \: = \: 0.75 \: \: m /s ^{ - 1} \\ [/tex]

[tex] \bf \large \implies \: \: Acceleration \: = \: 0.75 \: \: m /s ^{ - 1} \\ [/tex]

THIS IS TIMED! Find the equation of the graphed line.

On a coordinate plane, a line goes through (negative 6, 0) and (0, negative 7).
a.
y = negative 6 x minus 7
c.
y = negative StartFraction 6 Over 7 EndFraction x minus 6
b.
y = 6 x minus 7
d.
y = negative StartFraction 7 Over 6 EndFraction x minus 7



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

D

Step-by-step explanation:

x/(-6)+y/(-7)=1

7x+6y=-42

7x+6y+42=0

y=(-7/6)x-7

What is the congruence correspondence, if any, that will prove the given triangles congruent?
multiple choices on pic

Answers

Answer:

Option: C

Step-by-step explanation:

As marked,

In triangle WKQ. In triangle MQK

WK. = MQ. (Given)

WQ. = MK. (Given)

KQ. = KQ. (Common side)

Hence,

As three sides of a triangle are equal so they will be proved by SSS Congruence Condition.

which has a steeper slope y-1/2x or y=2/3x?

Answers

Answer:

y=2/3x

Step-by-step explanation:

2/3 is greater than 1/2. It doesn't matter if one of the slopes are negative.

0.135 written as a fraction is _____.

27/200
5/37
27/100

Answers

Answer:

27/200

Step-by-step explanation:

To write 0.135 as a fraction you have to write 0.135 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number. 0.135 = 0.135/1 = 1.35/10 = 13.5/100 = 135/1000

Answer:

27/200

Step-by-step explanation:

your teacher tried to be tricky.

0.135 is simply 135/1000.

that is how you can express any finite decimal number.

anyway, now, we need to transform that fraction into one of the provided fractions. so, which one fits ?

with experience you see it right away. otherwise by simply trying.

in any case, the first option is the right one.

proof :

27/200 = 135/1000 ?

the denominator is our driver : what factor do I need to turn 200 into 1000 ? right, 5 ! 200×5 = 1000

so, we multiply numerator and denominator by 5 (it is important to do that for both, so that the value of the fraction does not change).

27/200 × 5/5 = (27×5) / (200×5) = 135/1000

and that is the proof. 27/200 is indeed 0.135

HELP PLEASE 100 POINTS

Answers

Answer:

Step-by-step explanation:

That's an awful lot of points. You don't have to give that many. 10 or 15 points would be more than enough.

The graph touches the x axis at 1 point. That means its basic formula is y = (x - a)^2

Since it  upside down, the formula is y = -(x - a)^2. A couple of other things are true.

a = 1 because that's where the graph touches the x axis. y = - x^2 has shifted 1 unit to the right.

Finally the y intercept is -4 which means that the final equation is y = -4(x-1)^2

That's all preliminary. The actual question is, what does the discriminate look like?

y = -4(x^2 - 2x + 1)

y = -4x^2 + 8x - 4

a = - 4

b = 8

c = - 4

sqrt(b^2 - 4ac)

sqrt(8^2 - 4(-4)(-4) )

sqrt(64 - 64) = 0

The answer is the third one. The answer will always be 0 when the graph touches the x axis and does not go through it.

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