Quik Call charges 18¢ per minute for long-distance calls. Econo Phone totals your phone usage each month and rounds the number of minutes up to the nearest 15 minutes. It then charges $7.90 per hour of phone usage, dividing this charge into 15-minute segments if you used less than a full hour. If your office makes 5 hours 3 minutes worth of calls this month using the company with the lower price, how much will these calls cost?

Answer:

y=21-7x

-7 is your slope

21 is your y-intercept

Step-by-step explanation:

you send the 4x the other side and you send the other side opposite so it going to be -4x

-3y= 24-4x

than you divide -3 on 24 and -4x

Add 3y to both sides then divide both sides by 5.

[tex]2y=4-3y\implies 5y=4\implies y=\frac{4}{5}[/tex]

Hope this helps.

Answer:

y = 0.8

Step-by-step explanation:

You must rewrite the equation so that the y variables are all on one side of the =, and the numbers are on the other. To do this, you must add 3y to 2y (because it is originally -3y, and you have to do the opposite, meaning you add rather than subtract):

5y = 4

Next, to remove 5 from the equation, since 5y means they are multiplied together, you must do the opposite, so divide each side by 5:

5y ÷ 5 = y

4 ÷ 5 = 0.8

Therefore, y = 0.8

Answer:

Step-by-step explanation:

The exponent is just the amount of times you multiply a number by itself. So if you're multiplying three five times, the power would be 5.

Answer:

Since 2.1387 is Greater Than 1.645;

we reject null hypothesis; we conclude that, the nickname is justified based on the data.

Step-by-step explanation:

Given the data in the question;

Null hypothesis H₀ : p = 0.262

Alternative Hypothesis H₁ : p > 0.262.

p" = 0.357

q = 1 - p = 1 - 0.262 = 0.738

n = 98

so;

z = (p" - p) / √(pq/n)

we substitute

z = (0.357 - 0.262) / √((0.262×0.738) / 98)

z = 0.095 / 0.04441869

z = 2.1387

at 5% CONFIDENCE INTERVAL

z-critical = 1.645

Since 2.1387 is Greater Than 1.645;

we reject null hypothesis; we conclude that, the nickname is justified based on the data.

Answer:

5/21

Step-by-step explanation:

Answer:

i dont know but the answer comes out as 0.238095

Step-by-step explanation:

Answer:

area of top and bottom (total of 2) = 4x4x2 = 32 yd^2

area of 4 sides = 4x1x4 =16 yd^2

32+16 = 48 yd^2

============================================================

Work Shown:

x = orange juice amount

x = (7/9)*(total amount of juice)

x = (7/9)*45

x = (7/9)*(45/1)

x = (7*45)/(9*1)

x = 315/9

x = 35 gallons of orange juice

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

Another way to approach the problem:

Draw a rectangle and split it into 9 equal slips. If the whole rectangle's area is 45 square units, then each little skinny rectangle is 45/9 = 5 square units.

Shade in exactly 7 of these little rectangular slips. The shaded portion represents 7*5 = 35 square units, which corresponds to the answer of 35 gallons.

Step-by-step explanation:

profit = selling price - cost price

= $975 - $450

Answer:

151°

Step-by-step explanation:

Pentagons interior angles are always 540°. So to solve, you must put

540= (5x+2)+(10x-3)+(8x-19)+(7x-11)+(13x-31). After solving this you will get x=14 and you can now substitute x in for measure s.

13(14) -31

182 - 31

measure of s = 151°

Answer: 151

Step-by-step explanation:

Step-by-step explanation:Pentagons interior angles are always 540°.

So to solve, you must put 540= (5x+2)+(10x-3)+(8x-19)+(7x-11)+(13x-31).

After solving this you will get x=14 and you can now substitute x in for measure s.

13(14) -31182 - 31 

measure of s = 151°

-9...................

Answer:

b

Step-by-step explanation:

Given

(8 - j10)(6 + j4) ← expand factors using FOIL

= 48 + j32 - j60 - j²40 [ j² = - 1 ]

= 48 - j28 + 40

= 88 - j28 → b

Answer:

y=-7

Step-by-step explanation:

Answer:

A sample size greater than 25

Step-by-step explanation:

Margin of error of a confidence interval:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which z is related to the confidence level(higher confidence level means higher z) [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

The higher the margin of error, the wider the interval is.

To have a narrower interval:

For a narrower interval, the margin of error has to be diminished. This can be achieved reducing the confidence level, or increasing the sample size.

In this question:

There are no options that say reducing the confidence level, so we should increase the sample size, that is, a sample size greater than 25.

Answer:

gfdebebbebebdbrbvrbrbbrbrbfvvfvf

Answer:

x = 63°, y = 27°

Step-by-step explanation:

We know that x + y = 90°

Since ∠ x and 117° are on the same line, they are adjacent angles and add up to 180°.

x + 117 = 180

x = 180 - 117

x = 63°

Now back to the first equation:

x + y = 90°

63 + y = 90

y = 90 - 63

y = 27°

Answer:

x=63

y=27

Step-by-step explanation:

x y 117 son suplementarios x+117=180, entonces para obtener x debemos de restarle 117 a 180

el angul x y y son complementarios x+y=90 , en el anterior x nos dio igual a 63, entonces 90-63=y(que y es 27)

Answer:

no

Step-by-step explanation:

The provided quadrilateral is a parallelogram because diagonals are bisecting each other option Yes is correct.

In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.

It is given that:

A quadrilateral is given in the picture.

As we know, in the parallelogram the diagonals of the parallelogram bisect each other.

In the figure, it is given that the diagonals are bisecting each other.

From the figure, the two opposite sides are parallel.

In the parallelogram the pair of opposite sides are parallel.

Thus, the provided quadrilateral is a parallelogram because diagonals are bisecting each other option Yes is correct.

Learn more about the parallelogram here:

brainly.com/question/1563728

#SPJ2

Answer:

m<JMK=54°

m<JKH=63°

m<HLK=90°

m<HJL=27°

m<LHK=63°

m<JLK=27°

Step-by-step explanation:

m<JMK=54°

m<JKH=63°

m<HLK=90°

m<HJL=27°

m<LHK=63°

m<JLK=27°

Answer:-4x^2+22x+-12cm^2

Step-by-step explanation:

Answer:80 students

Step-by-step explanation:

80% of 100 is 80. :)

Answer: D

Step-by-step explanation:

The volume of the box is equivalent to 400 cubic inches.

Given is that a a box is 5 inches high, 10 inches wide, and 8 inches deep.

The volume of a cuboid is equivalent to -

V{C} = L x B x H

V{C} = 8 x 10 x 5

V{C} = 80 x 5

V{C} = 400 cubic inches

Therefore, the volume of the box is equivalent to 400 cubic inches.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

Answer:

Kindly check explanation

Step-by-step explanation:

Acceptable = a

Fails = f

For machines X, Y, Z ;

Sample space, S = {aaa, aaf, aff, fff, faa, afa, ffa, faf}

Total elements in sample space = 8

B.)

Elements of the set:

ZF={circuit from Z fails},

XA ={circuit from X is acceptable}.

ZF = {aaf, aff, fff, faf}

XA = {aaa, aaf, aff, afa}

C.)

c. Are ZF and XA mutually exclusive?

Check if ZF n XA = ∅

ZF n XA = {aaf, aff}

Hence, ZF and XA are not mutually exclusive

d. Are ZF and XA collectively exhaustive?

To be collectively exhaustive :

ZF u XA = Sample space

ZF u XA = {aaa, aaf, aff, afa, faf, fff}

{aaa, aaf, aff, afa, faf, fff} ≠ sample space

Hence, ZF and ZA are not collectively exhaustive.

e. What are the elements of the sets

C={more than one circuit acceptable},

C = {aaa, aaf, faa, afa}

D={at least two circuits fail}.

D = {ffa, faf, aff, fff}

f. Are C and D mutually exclusive?

Check if C n D = ∅

C n D = ∅

Hence, A and D are mutually exclusive

g. Are C and D collectively exhaustive?

To be collectively exhaustive :

C u D = Sample space

C u D = {aaa, aaf, aff, afa, faf, fff}

{aaa, aaf, faa, ffa, aff, afa, faf, fff} = sample space

Hence, C and D are collectively exhaustive.

Answer:

84.85cm

Step-by-step explanation:

Let the sides of the square be x

The perimeter of the square = 4x

Get x using the pythagoras theorem

x^2 + x^2 = 30^2

2x^2 = 900

x^2 = 450

x = 21.21cm

Perimeter of the plate = 4(21.21)

Perimeter of the plate = 84.85cm

Answer:

C.)

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{x^{-8}}{x^5}\\ \\ x^{-13}[/tex]

Answer:

- Discount car rentals charges less daily

- After 3 days

Step-by-step explanation:

Required

Which charges less per day

When is the total cost the same

First, calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

From the table, we have:

[tex](x_1,y_1) = (2,185)[/tex]

[tex](x_2,y_2) = (6,345)[/tex]

So, we have:

[tex]m = \frac{345 - 185}{6 - 2}[/tex]

[tex]m = \frac{160}{4}[/tex]

[tex]m = 40[/tex]

The equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = 40(x - 2) + 185[/tex]

[tex]y = 40x - 80 + 185[/tex]

[tex]y = 40x + 105[/tex]

So, the equation of the table (i.e. Discount Car rental) is: [tex]y = 40x + 105[/tex]

While the equation of Pay Less is: [tex]y = 55x + 60[/tex]

The company that charges less per day has the smaller slope and that is: Discount car rental because the slope (40) is less than the slope (55)

For the total cost to be the same, we simply equate both expressions:

i.e.

[tex]y = y[/tex]

[tex]55x + 60 = 40x + 105[/tex]

[tex]55x - 40x = - 60 + 105[/tex]

[tex]15x =45[/tex]

[tex]x = 3[/tex]

Answer:

Step-by-step explanation:

Remark

The problem with this question is that you don't exactly know what the 25% does.

I think the way to do the problem is to consider where the 42 dollars comes from.

I think the beginning part of the problem is to develop an equation which you may not be able to solve.

So the cost using the 30% reduction is 0.7c where c is the original cost. But the 25% makes the actual cost for the person = 0.7c - 25% of 0.7c

The result is 42 dollars.

0.7c - 0.25*0.7c = 42

If I'm right, that can be solved.

0.7c - 0.175c = 42

0.525c = 42

c = 42/0.525

c = 80 dollars.

So before all the reductions and everything else, the case actually cost 80 dollars.

Answer:

18 quarts

Step-by-step explanation:

Answer:

5.81%

Step-by-step explanation:

2.89

Hope you got your answer.