Write an equation and solve:


Kiran is trying to save $144 to buy a new guitar. she has $34 and is going to save $10 a week from money she earns mowing lawns. she wants to know how money weeks it will take her to have enough money to purchase the guitar.

Answer:

n = 59

Step-by-step explanation:

There's definitely a better way, i just did math randomly but here goes:

First i squared both sides. which gets you:

[tex](\sqrt{n+5}-\sqrt{n-10} )(\sqrt{n+5}-\sqrt{n-10} )=1^2\\\\n+5 -2\sqrt{(n+5)(n-10)} +n-10=1[/tex]

Cleaning this up gives you:

[tex]2n-5 -2\sqrt{(n+5)(n-10)}=1[/tex]

Now move everything to the other side so we can square this equation again

[tex]-2\sqrt{(n+5)(n-10)}=-2n+6[/tex]

Divide both sides by -2

[tex]\sqrt{(n+5)(n-10)}=n-3[/tex]

square again

[tex](n+5)(n-10)=(n-3)^2\\n^2-5n-50=n^2-6n+9[/tex]

subtract n^2 from both sides, add 6n, and add 50

[tex]-5n-50=-6n+9\\n-50 = 9\\n=59[/tex]

Put this back into the equation and you get a correct answer!

sqrt(59 + 5) = sqrt(64) = 8

sqrt(59-10) = sqrt(49) = 7

8 - 7 = 1

Answer:

Solution given'

<2+90+49=180°[sum of interior angle of a triangle]

<2=180-139

<2=41°

9514 1404 393

Answer:

Step-by-step explanation:

The relevant relationships are ...

__

The arc measures can be found to be ...

  MN = 68°

  LM = 180° -68° -87° = 25° . . . . semicircle KLN less the marked angles

  KLN = 180° . . . . a semicircle

  JLN = JM +MN = 180° +68° = 248° . . . . semicircle JLM + MN

  JN = 180° -68° = 112° . . . . semicircle JNM less MN

  NJL = 180° +87° = 267° . . . . semicircle NJK + KL

Answer:

70 amps

Step-by-step explanation:

The current I is inversely proportional to the resistance R

I=k/R   (k is the constant of proportionality)

A)   I=210 amperes

     R=4 ohms

I=k/R

k=I×R

k=210×4=840

B)    R=12 ohms

     k=840

    I=k/R

   I=840/12=70 amperes

The current will be 40 mA when the resistance is 15 ohms.​

Ohms law says that the current running through the conductor is directly proportional to the potential difference across its extremities as long as the temperature and other physical conditions are constant.

Ohms law formula is -

V=IR, Where

Voltage is V and is measured in Volts,

The current flowing through the conductor is I and it represented in amperes and the resistance is R and is measured in ohms.

Given that, the voltage, V, in an electric circuit is held constant, If the current is 120mA when resistance is 5 ohms,

120 mA = 0.12 A

Therefore,

V = IR

V = 0.12 × 5

V = 0.6 volts

Now, when the resistance is 15 ohms, the current will be =

0.6 = I × 15

I = 0.6 / 15

I = 0.04 A

I = 40 mA

Hence, the current will be 40 mA when the resistance is 15 ohms.​

Learn more about Ohms law, click;

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Answer:

The answer is [tex]15.00[/tex] %

Step-by-step explanation:

Let's start defining the random variable. We have the following variable :

[tex]X:[/tex] '' The amount spent per year on reading and entertainment among adults in the 25- to 34- year age group ''

We assume that [tex]X[/tex] follows the normal distribution. We can write :

[tex]X[/tex] ~ N ( μ , σ )

Where μ is the mean of the distribution and σ is the standard deviation (both are parameters from the normal distribution). Using the data from the question :

[tex]X[/tex] ~ [tex]N(2060;495)[/tex]

In order to answer the question, we first must calculate the probability :

[tex]P(X>2575)[/tex] (I)

We are going to calculate this probability by making a substitution. If we substract the mean to the variable [tex]X[/tex] and then divide by the standard deviation, we obtain a new variable [tex]Z[/tex] which can be modeled as a [tex]N(0;1)[/tex]. This is convenient because the cumulative distribution from [tex]Z[/tex] is tabulated and can be found on any book or either in Internet.This process is called standardizing the variable :

[ ([tex]X[/tex]-μ) / σ ] = [tex]Z[/tex] ~ [tex]N(0;1)[/tex] ⇒ If we apply this to the equation (I) ⇒

[tex]P(X>2575)=P(Z>\frac{2575-2060}{495})=P(Z>1.04)[/tex]

Then,

[tex]P(Z>1.04)=1-P(Z\leq 1.04)[/tex] (II)

Looking in any cumulative distribution table of [tex]Z[/tex] ⇒ [tex]P(Z\leq 1.04)=0.85[/tex]

If we replace this value in (II) ⇒

[tex]P(Z>1.04)=1-P(Z\leq 1.04)=1-0.85=0.15[/tex]

Using percent we obtain [tex]15.00[/tex] %

Answer:

See attachment for graph

Step-by-step explanation:

Given

[tex]1\ hr = 10\ miles[/tex]

Required

The graph that shows the number of miles in x hours

We have:

[tex]1\ hr = 10\ miles[/tex]

Multiply both sides by x

[tex]x * 1hr = 10miles * x[/tex]

[tex]xhr=10x\ miles[/tex]

So, the function is:

[tex]f(x) =10x[/tex]

Answer:

1. a = 14

2. m = 8

3. N/A

4. m = 2

5. N/A

6. n = 0, [tex]\frac{9}{25}[/tex], 0.36

7. x = 27

8. x = 65

Step-by-step explanation:

Answer:

x = 67/4

Step-by-step explanation:

Let x = smaller number and y = bigger number

Then x +y = 64 and y = 3x-3

Plugging y into x+y = 64

x + 3x -3 = 64

4x = 67

x = 67/4

Hope it helps.

Answer:

3 gallons of paint hope it helps my guy

Answer:

go on MATH.WAY. it'll give you the answer and explanation

Step-by-step explanation:

Answer:

y = -1/3x + 2

Step-by-step explanation:

First, find the slope using rise over run: (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(3 - 5) / (-3 + 9)

-2 / 6

= -1/3

Plug in a given point and the slope into y = mx + b, and solve for b:

y = mx + b

3 = -1/3(-3) + b

3 = 1 + b

2 = b

Plug in the slope and y intercept into y = mx + b

y = -1/3x + 2

So, the equation is y = -1/3x + 2

Answer:

B. 3/9 = 4/12 = 1/3

Step-by-step explanation:

I calculated it logically

Answer:

44.16 ; 4.88

Step-by-step explanation:

Recall :

Mean, μ = np

Sample size, n = 96

Sample proportion, p = 0.46

For the mean :

Mean, μ = 96 * 0.46

0.46 * 96 = 44.16

The standard deviation :

σ = √npq

q = 1 - p = 1 - 0.46 = 0.54

σ = √npq = √(96 * 0.46 * 0.54)

σ = √23.8464

σ = 4.88

[tex]\displaystyle\bf\\x^2+x^2=10^2\\\\2x^2=19^2\\\\x^2=\frac{10^2}{2}\\\\ \sqrt{x^2}=\sqrt{\frac{10^2}{2}}\\\\x=\frac{10\sqrt{2}}{\sqrt{2}\times\sqrt{2}}\\\\x=\frac{10\sqrt{2}}{2}\\\\\boxed{\bf x=5\sqrt{2}~~~~~~Correct~ansver:~~D)}[/tex]

Answer:

4,8 is the answer

hope it helped

can you make me brianliest

Answer:

2/3

Step-by-step explanation:

Answer:

1

53421 divided by three is 17807

Answer:

The answer is 0.015625

Answer:

Step-by-step explanation:

F(x) = (1/4)^x    F(3)

F(3) = (1/4)^3

F(3) = (1/4)×(1/4)×(1/4)

F(3) = 1/64

Answer:

54

Step-by-step explanation:

3 3/8 / 1/4 = 13 1/2

13 1/2 x 4 = 54

Answer:

perpendicular lines are when two lines intercect in a right angle. so it would be A then

Step-by-step explanation:

A has a right degree angle where the two lines cross, so this is the answer

B that is not a right angle it has acute and obtuse angles

C does not even have two lines that touch

D the two lines don't cross at all

E is an acute angle

B, C,D, and E are not the answers

Answer:

-5

Step-by-step explanation:

Answer:

slope = -5

Step-by-step explanation:

m = y2-y1/x2-x1 (this is the equation for finding a slope of 2 points)

so plug them into this equation.

2+3/-2+1 = 5/-1 = -5.

the slope is -5

Answer:

22

Step-by-step explanation:

Count the dot

Answer:

remy would be correct

Step-by-step explanation:

9514 1404 393

Answer:

  C.  $1.50

Step-by-step explanation:

The graph is a straight line through the origin, so the revenue is proportional to the number of tickets. The ratio of revenue to tickets will tell you the money raised for each ticket sold. Pick any point on the graph and divide the revenue value by the number of tickets.

The division can be easy if the number of tickets is 10. We see that the revenue for 10 tickets is $15, so the amount raised for each ticket is ...

  $15/10 = $1.50 . . . . raised per ticket sold

Answer:

120

Step-by-step explanation:

Angle x + 9 and 2x - 111 are adjacent angles.

Adjacent angles are equal.

2x - 111 = x + 9

2x - x = 9 + 111

x = 120

Answer:

2x-111=x+9[corresponding angle]

2x-x=111+9

x=120

Answer: 50%

Step-by-step explanation:

Answer:

What percent of 186 is 93?

answer:50