Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $23 monthly fee and charges an additional $0.11 for each minute of calls. The second plan has no monthly fee but charges $0.15 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal?

Answer:

10

Step-by-step explanation:

(10*2) ÷ (1+1)

Parentheses first

20 ÷2

Then divide

10

Answer:

The answer to the equation is 10.

Step-by-step explanation:

Use PEMDAS/Order of operations.

Parentheses go first.

(10*2) divided by (1+1)

remove the parentheses after working on the equation in them

20 divided by 2

20/2=10

the answer is 10

If you have any questions tell me them in the comments, I will come answer them. Have a good day.

The two lines are parallel if they are at same distant, but these lines will never meet at any point.

Parallel lines do not intersect each other. These lines are equidistant from each other.

In the given angles the line CB will be parallel to line AC.

CB ≅ AC

These two lines will be equidistant from each other since they both form an equivalent angle. These lines will not intersect with each other.

Learn more at https://brainly.com/question/24370301

Answer: 9ft

One side is given 16ft

The other is 7ft

The 7ft is in the same length of the 16ft line

So 16-7 = 9ft

Must click thanks and mark brainliest

Answer:

cos a = 12/13

tan a = 5/12

You use these properties to solve the question,

sin²a+cos²a=1

tana=sina/cosa

Answer:

16 packs

Step-by-step explanation:

Take the number of children and divide by the number of pens in a pack

125/8

15.625

We need to round up to get the number of packs

16 packs

Answer:

125 pens and 16 packs.

Step-by-step explanation:

Given:

Each child gets 1 pen, so there needs to be 125 pens.

Since there are 8 pens in a pack, there will need to be:

125 / 8 = 15.62

Estimate:

16 packs

There needs to be 16 packs for the 125 children.

Answer:

Step-by-step explanation:

Given circle:

Convert the equation into the standard form of (x - k)² + (y - h)² = r²:

As per above:

Correct choice is A

A.2

Answer:

Solution given:

equation of a circle is:

x²+y²+4x-2y=-1

x²+y²+4x-2y+1=0

Comparing above equation with

ax²+by²+2gx+2fy+c=0

we get

a=1

b=1

g=2

f=-1

c=1

now

radius of a circle (r)=[tex]\sqrt{g²+f²-c}[/tex]

substituting value

r=[tex]\sqrt{2²+(-1)²-1}=2[/tex]

therefore radius of a circle is 2 units

Answer:

please mark me brainlist I really need it

Step-by-step explanation:

Say the height of the room is X metres. So the length is 3X, and the breadth is length/2, or 3X/2.

The area of the 4 walls is then 3x^2 + 3X^2 + 3X^2/2 +3X^2/2 = 9X^2

If the cost of plastering is R5/sq m, then 9X^2 * 5 = 720

Solving this gives X = 4 m - a rather high ceiling

The floor area is then (3*4) * (3*4/2) = 72 sq m

Carpeting is then 250*72 = R18000

Answer:

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

so 1 half is colored in so 1/2 is also 50%

Answer:

it's 50% because it's half the circle

Answer:

i think iys 6 lol

Step-by-step explanation:

its wright

Answer:

p(a) =|2a+2|

p(–9) = | 2 (–9) +2 | = | –18 +2 | = | – 16 | = + 16

I hope I helped you^_^

Answer:

Is -15

Step-by-step explanation:

Answer:

Step-by-step explanation:

Taxable income = $ 91,307

Tax for $ 17,850 = 10% of 17850 = 0.1*17850 = $ 1785

Tax for $17,850 to $72,500 = 15% of (72,500-17850) = 0.15* 54650 = $ 8197.5

Tax  $72,500 to $91,307 = 25% of (91307-72500)=0.25*18807= $ 4701.75

Total tax = 1785 + 8197.5 + 4701.75 = 14684.25

Total tax = $14684

Answer:

Step-by-step explanation:

[tex]\frac{\sqrt{x}+1 }{x-\sqrt{x}+1 }=\frac{\sqrt{x}+1}{(x+1)-\sqrt{x}}\\\\=\frac{(\sqrt{x}+1)([x+1]+\sqrt{x})}{([x+1]-\sqrt{x})+([x+1)+\sqrt{x}])}\\\\=\frac{\sqrt{x}*x+\sqrt{x}*1+\sqrt{x}*\sqrt{x}+1*x+1*1+1*\sqrt{x}}{(x+1)^{2}-(\sqrt{x})^{2}}\\\\\\=\frac{x\sqrt{x}+\sqrt{x}+x+1+x+\sqrt{x}}{x^{2}+2x+1-x}\\\\=\frac{x\sqrt{x}+2\sqrt{x}+2x+1}{x^{2}+x+1}\\\\[/tex]

Answer:

$72

Step-by-step explanation:

The sale offers 2 pair of shoes for $45, but the price is same for 1 pair of shoes.

The cost of 3 pair of shoes

= The sale price of 2 pair of shoes + Regular price of 1 pair of shoes

= $45 + $27

= $72

So, 3 pairs of shoes will cost $72 today.

Answer: x+6

Step-by-step explanation:

30^∘ Another boy is standing on the roof of a 10 second string be x mIn Δ ABC sin 30^∘ = AC/AB 1/2 = AC/100 AC =

Answer: hope this helps ♡

The kite was 16.9 feet high.

Step-by-step explanation:

Pythagorean theorem

b = [tex]\sqrt{c^{2} - a^{2} }[/tex]

b = [tex]\sqrt{22^{2} - 14^{2} }[/tex]

b = [tex]\sqrt{484 - 196}[/tex]

b = [tex]\sqrt{288}[/tex]

b = 16.9

Answer:

sin theta = -2 sqrt(14)/15

Step-by-step explanation:

cos theta = adj / hyp

We can find the opp side by using the Pythagorean theorem

adj ^2 + opp ^2 = hyp^2

(-13)^2 + opp ^2 = 15^2

169 + opp ^2 = 225

opp ^2 = 225 -169

opp ^2 =56

Taking the square root of each side

sqrt( opp^2) = sqrt(56)

opp = sqrt(4 * 14)

opp = 2 sqrt(14)

Since we are in the third quadrant opp is negative

opp = -2 sqrt(14)

We know

sin theta = opp / hyp

sin theta = -2 sqrt(14)/15

Given that :

[tex] \frak {\cos( \theta_{1} ) = - \frac{13}{15} }[/tex]

To find :

[tex] \frak{ sin( \theta_{1} )}[/tex]

We know that cos θ is base/hypotentuse

So, here the base is -13 and the hypotentuse is 15

As we got the base and hypotentuse, perpendicular needs to be found out

Now, applying Pythagoras Theorem

According to Pythagoras theorem we know that :

Let us assume perpendicular be x

Putting the values we get

By transposing we get

sin θ formula : Perpendicular/Hypotentuse

[tex] \star \: \: \underline{ \overline{ \boxed{ \frak{ sin (\theta_{1})} = \frac{-2 \sqrt{14} }{15} }}}[/tex]

Hence, the answer is -2√14/15

Answer: Day 4 and 15

Step-by-step explanation:

Set up system of equations:

[tex]25x+136=-x^2+44x+76[/tex]

Simplify:

[tex]x^2-19x+60=0[/tex]

Factor: Both factors must be positive as the days can only be natural numbers.

[tex](x-15)(x-4)=0[/tex]

x=4,15

Answer:

Your last step ( step 5 ) :

[tex] {x}^{2} + \frac{b}{a} x + \frac{ {b}^{2} }{4 {a}^{2} } = - \frac{c}{a} + \frac{ {b}^{2} }{4 {a}^{2} } [/tex]

Step 6:

[tex]{ \boxed{x + ( \frac{b}{2a}) = ± \frac{ \sqrt{ {b}^{2} - 4ac } }{ \sqrt{4a^2} } }}[/tex]

Step-by-step explanation:

[tex] {x}^{2} + \frac{b}{a} x + \frac{ {b}^{2} }{4 {a}^{2} } = - \frac{4ac}{4 {a}^{2} } + \frac{ {b}^{2} }{4 {a}^{2} } \\ \\ {x}^{2} + \frac{b}{a} x = \frac{4ac}{4a {}^{2} } \\ \\ {x} = \sqrt{ \frac{ - 4ac + b {}^{2} }{4a {}^{2} } } [/tex]

.,............. ..... ..nnkkjk

Isolate the variable by dividing each side by factors that don't contain the variable.

x  =  1

-6+3x+4=2-4x+3

-8+7x+1=0

7x=7

x=1

Answer:

x=1

Step-by-step explanation:

SEE IMAGE for Solution

Answer:

a = 24.0

Step-by-step explanation:

We can use the law of sines to solve

sin 150       sin 12

---------- = ----------

a                    10

Using cross products

10 sin 150 = a sin 12

10 sin 150 / sin 12 = a

a=24.04867

To the nearest tenth

a = 24.0

Answer:

base = 18.89

legs = 16.89

Step-by-step explanation:

x + x + 68 = 180

2x + 68 = 180

2x = 112

x = 56

The altitude = 14

Tan(56) = opposite / adjacent

adjacent = base

opposite = altitude

Tan(56) = opposite / base                Multiply both sides by the base

base * Tan(56) = opposite                Divide by Tan(56)

base = opposite / Tan(56)

base = 14/tan(56)

base = 9.443

The base is actually twice this length because the altitude lands on the midpoint of the opposite side and is perpendicular to the third side (base).

base = 18.886  

Legs are the hypotenuse formed by 1/2 the base and the attitude.

Sin(56) = opposite / hypotenuse

Sin(56) = altitude / hypotenuse

hypotenuse = altitude / Sin(56)

hypotenuse = 14 / sin(56)

hypotenuse = 16.887

Rounded

base = 18.89

legs = 16.89

Answer: x = 1 hour and 33 minutes

Step-by-step explanation:

Let x = time (hours) it takes typing together

then

x(1/2 + 1/7) = 1

 multiplying both sides by 14:

x(7 + 2) = 14

x(9) = 14

x = 14/9

x = 1.56 hours

or

x = 1 hour and 33 minutes

Hope tjis help you!:)

Answer: 14/9 hr

Step-by-step explanation:

If you divide Frank's ability to write 1 report by 2 hours, he could write half a report in an hour. James could write one seventh of the report in a hour after dividing his ability to write 1 report in 7 hours. Find the least common denominator between 2 and 7, which is 14 convert 1/2 to that, which would be 7/14 and 2/14. Add That together and you'd get the amount of report they can write in an hour. If you multiply this by a number equalvilent to flipping 9/14, you'd get 1. This number is 14/9 hours.

Answer:

hope this helps you

havea great dayy

Answer:

39

Step-by-step explanation:

3(6m-17)

3(30-17)

3(13)

39

Answer:

256

Step-by-step explanation:

because all of them are squared so

2^2= 4 balls

2 x 2

4^2 = 16 balls

4 x 4

16^2 = 256 balls

16 x 16

Answer:

Step-by-step explanation:

no body is answering

Answer:

The 95% confidence interval for the difference in proportion of registered voters that support this candidate between the northern and southern halves of the state is (0.05, 0.112).

Step-by-step explanation:

Before building the confidence interval, the central limit theorem and subtraction of normal variables is explained.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Northern half:

1062 out of 2000, so:

[tex]p_N = \frac{1062}{2000} = 0.531[/tex]

[tex]s_N = \sqrt{\frac{0.531*0.469}{2000}} = 0.0112[/tex]

Southern half:

900 out of 2000, so:

[tex]p_S = \frac{900}{2000} = 0.45[/tex]

[tex]s_S = \sqrt{\frac{0.45*0.55}{2000}} = 0.0111[/tex]

Distribution of the difference:

[tex]p = p_N - p_S = 0.531 - 0.45 = 0.081[/tex]

[tex]s = \sqrt{s_N^2 + s_S^2} = \sqrt{0.0112^2 + 0.0111^2} = 0.0158[/tex]

Confidence interval:

The confidence interval is:

[tex]p \pm zs[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower bound of the interval is:

[tex]p - zs = 0.081 - 1.96*0.0158 = 0.05[/tex]

The upper bound of the interval is:

[tex]p + zs = 0.081 + 1.96*0.0158 = 0.112[/tex]

The 95% confidence interval for the difference in proportion of registered voters that support this candidate between the northern and southern halves of the state is (0.05, 0.112).

Answer:

c=65

Step-by-step explanation:

Answer:

c=65

Step-by-step explanation:

c=a2+b2=63

632+162=65

Answer:

C. II only

Step-by-step explanation:

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