during his vacation, dalyn rents a small boat from a rental service that charges a flat fee of $40 plus $10 per hour (including taxes). The total charge comes to $100. Which equation can be used to calculate the number of hours, x, that Dalyn rents the boat?

Answer:

The inequality would be true

Step-by-step explanation:

4(c+2) < 4c + 10

Distribute the 4 on the left

4c + 8 < 4c + 10

Subtract 4c from both sides

8 < 10

8 < 10 is true

Answer:

All real numbers.

Step-by-step explanation:

Answer:

x= -3

Step-by-step explanation:

First let's work on the right side and use distributive property

15x+9= 3(2x-6)

15x+9= 6x-18

    -9         -9

15x= 6x-27

-6x  -6x

9x= -27

9x/9= -27/9

x= -3

Hope this helps!

Answer:

450 Is the maximum height.

Step-by-step explanation:

Use x=-b/(2a) to get your answer.

Answer:

the ordered pairs which represent points on the line are

(6, -30) ⇒ A

(-3, 15) ⇒ D

(1, -5) ⇒ E

Step-by-step explanation:

To find the ordered pairs represents points on the line y = -5x, substitute x in the equation by the x-coordinate of each point if the value of y equals the y-coordinate of the point, then the point lies on the line

∵ y = -5x

∵ The ordered pair is (6, -30)

∴ x = 6 and y = -30

→ Substitute x in the equation by 6 to find y

∵ y = -5(6)

∴ y = -30

→ y has the same value of the y-coordinate of the point

∴ (6, -30) represents point on the line

∵ The ordered pair is (-2, -10)

∴ x = -2 and y = -10

→ Substitute x in the equation by -2 to find y

∵ y = -5(-2)

∴ y = 10

→ y does not have the same value of the y-coordinate of the point

∴ (-2, -10) does not represent a point on the line

∵ The ordered pair is (5, 25)

∴ x = 5 and y = 25

→ Substitute x in the equation by 5 to find y

∵ y = -5(5)

∴ y = -25

→ y does not have the same value of the y-coordinate of the point

∴ (5, 25) does not represent a point on the line

∵ The ordered pair is (-3, 15)

∴ x = -3 and y = 15

→ Substitute x in the equation by -3 to find y

∵ y = -5(-3)

∴ y = 15

→ y has the same value of the y-coordinate of the point

∴ (-3, 15) represents a point on the line

∵ The ordered pair is (1, -5)

∴ x = 1 and y = -5

→ Substitute x in the equation by 1 to find y

∵ y = -5(1)

∴ y = -5

→ y has the same value of the y-coordinate of the point

∴ (1, -5) represents a point on the line

Answer:

A, D and F are the answers because for the 1st question, 64.7 is the bigger number, for the second 65 is the biggest and for the last 65 is the largest number.

Answer: 5

Step-by-step explanation: I got it right

Answer:

Step-by-step explanation:

13 months

Answer:

a. vertical angles

b. same side interior angles

c. alternate interior

d. corresponding angles

Step-by-step explanation:

Answer:

Step-by-step explanation:

D same side

A alternate

B Corresponding

C Vertical

Answer:

Step-by-step explanation:

7) ∠1  + 30 = 180                {linear pair}

            ∠1 = 180 - 30

            ∠1 = 150

8)  ∠2 = 30    {Vertically opposite angles are congruent}

9) In ΔLMN,

∠L + ∠N + ∠M = 180   {angle sum property of triangle}

50 + 30 + ∠M = 180

       80 + ∠M = 180

                ∠M = 180 - 80

                ∠M = 100°

10) Sum of exterior angle of a triangle equals to sum of opposite interior angles.

∠B + ∠A = ∠BCD

30 +   ∠A = 80

        ∠A  = 80 - 30

      ∠A = 50

This question is incomplete

Complete Question

The lions and the tigers played a football game. The Lions scored three more than three times the number of points the Tigers scored. The total number of points scored by both teams is 31. How many points were scored by each team?

Answer:

The number of points scored by the Lions = 24

The number of points scored by the Tigers = 7

Step-by-step explanation:

Let the number of points scored by the lion = l

The number of points scored by the tiger = t

The Lions scored three more than three times the number of points the Tigers scored.

l = 3 + 3(t)

The total number of points scored by both teams is 31.

= l + t = 31

3 + 3t + t = 31

4t = 31 - 3

4t = 28

t = 28/4

t = 7 points

Note:

l + t = 31

I = 31 - t

l = 31 - 7

l = 24 points

The number of points scored by the Lions = 24

The number of points scored by the Tigers = 7

Answer:

17.25

Step-by-step explanation:

I hope this helps!

The solution is: the fraction 69/4​ as a decimal is 17.25.

we have,

the fraction is 69/4​

now, we get,

69 ÷ 4 = 17.25

i.e. we get,

we have to find how many times 4 would go into 69 by dividing

The quotient is 17 and 4 x 17= 68

Left is 1 which still has to be divided by 4 1/4= 0.25

so, we get,

17+0.25

=17.25

Hence, The solution is: the fraction 69/4​ as a decimal is 17.25.

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Answer:

[tex](2,5), (3,6), (6,9)[/tex]

Step-by-step explanation:

Because the abscissa does not repeat with different ordinate (well, there's actually no repeating abscissa)

Answer:c

Step-by-step explanation:

Step-by-step explanation:

all you have to do is devide the numerator, by the denominator. simple.

Answer:

D. $27.72

Step-by-step explanation:

Calculation for How much more money will she need to pay for text messages

First step is to the Total cost of sending 204 messages

Total cost=204 messages* $0.18 per text message

Total cost =$36.72

Last step is to compute for How much more money will she need to pay for text messages

Amount to be paid =$36.72-$9.00

Amount to be paid=$27.72

Therefore How much more money will she need to pay for text messages will be $27.72

Answer:

D

Step-by-step explanation:

Answer: $1.25

Step-by-step explanation:

Let the cost of cracker be a.

Let the cost of cookies be b.

Let the cost of candy bars be c.

From the question,

6a + 6b + 6c = $21

8a + 5b + 10c = $26

5a + 4b + 7c = $18.50

To solve this, we first pick any two pairs of equation. This will be:

6a + 6b + 6c = $21 ....... i

8a + 5b + 10c = $26 ....... ii

Multiply equation i by 8

Multiply equation ii by 6

48a + 48b + 48c = $168 ....... iii

48a + 30b + 60c = $156 ....... iv

Subtract equation iv from iii

18b - 12c = 12

We then pick another two pairs

8a + 5b + 10c = $26

5a + 4b + 7c = $18.50

Multiply equation i by 5

Multiply equation ii by 8

40a + 25b + 50c = $130

40a + 32b + 56c = $148

Subtract the equations

-7b - 6c = -18

Then, solve the new equations formed

18b - 12c = 12 ....... v

-7b - 6c = -18 ....... vi

Multiply equation i by -7

Multiply equation ii by 18

-126b + 84c = -84

-126b - 108c = -324

Subtract the equations

192c = 240

c = 240/129

c = $1.25

From equation v, put the value of c

18b - 12c = 12

18b - 12($1.25) = 12

18b - $15 = $12

18b = $27

b = $27/18

b = $1.5

Since,

6a + 6b + 6c = $21

6a + 6($1.5) + 6($1.25) = $21

6a + $9 + $7.5 = $21

6a + $16.5 = $21

6a = $21 - $16.5

6a = $4.5

a = $4.5/6

a = $0.75

One candy bar cost $1.25

The cost of one candy bar is $1.5 and this can be determined by forming the linear equation with the help of given data.

Given :

Form the linear equation in order to determine the cost of one candy bar. Let 'x' be the cost of crackers, 'y' be the cost of cookies, and 'z' be the cost of candy bars.

So, the linear equation that represents the situation "A snack bag containing 6 of each type of snack costs $21.00" is:

6x + 6y + 6z = 21  --- (1)

The linear equation that represents the situation "A snack bag containing 8 packages of crackers, 5 packages of cookies, and 10 candy bars costs $26.00" is:

8x + 5y + 10z = 26  --- (2)

The linear equation that represents the situation "A snack bag containing 5 packages of crackers, 4 packages of cookies, and 7 candy bars costs $18.50" is:

5x + 4y + 7z = 18.50  --- (3)

Simplify all three equations in order to determine the value of 'x', 'y', and 'z'.

z = $1.25

y = $1.5

x = $0.75

For more information, refer to the link given below:

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Answer:

If it counts as a question, lol sure, I'd love to help

Answer:

-7

Step-by-step explanation:

(x,y) --> (0,-7) -7 is the y-intercept

Answer:the answer is -7

Step-by-step explanation:

Answer:

$1.00

Step-by-step explanation:

The unit rate in this scenario would be $1.00 , meaning that Toni is paying $1.00 for every shirt. This can be calculated by dividing the total price that she is paying for the shirts by the total number of shirts that Toni is purchasing like so...

$8.00 / 8 = $1.00 per shirt

The unit rate is basically the value over the denominator of 1 which would be the case as seen above since $1 buys 1 shirt ([tex]\frac{1 dollar}{1 shirt}[/tex]) as opposed to $8 dollars 8 shirts ([tex]\frac{8 dollars}{8 shirts}[/tex]) as mentioned in the question.

Answer:

12 minutes

Step-by-step explanation:

Answer: 12 Minuets

Step-by-step explanation:

Answer:

In order to find the missing number (X), you must first identify the pattern in the set of numbers. Upon a glance, you can determine that the pattern starts with 4 and then the next number is 2n+1, with n being the preceding number in the set.

Answer:

-4

Step-by-step explanation:

f(x)= 10-2x,

Let x=7

f(7) =10 -2*7

     = 10-14

     = -4

Answer:

$49.50

Step-by-step explanation:

30% of $50 = $15.00

7% of $50 = $3.50

22% of $50 = $11.00

$50.00 - $15.00 = $35.00

$35.00 + $3.50 = $38.50

$38.50 + $11.00 = $49.50

How much was your dinner?

The total amount is $49.50, so only a total of 50 cents is being taken off from the whole payment of the dinner. (≧◡≦)  (o´∀`o)  (´• ω •`)  (＾▽＾)  (⌒ω⌒)

Answer: Its remainder is 1 when you divide 17 by 2.

In other words, 17/2 = 8 remainder 1.

The 8 is the quotient.

The reason why we know we get a remainder 1 is because the condition of "if n is an odd number" and here n = 17 is odd. So the first condition is met allowing us to use the full "if, then" statement given to us.

Answer:

slope = - 5/7

y intercept = 3

Step-by-step explanation:

Answer:

(2.6,1.8)

Step-by-step explanation:

length of horizontal side = (xB − xA) = 4 units

length of vertical side = (yB − yA) = 2 units

To find the x-coordinate of the point that divides the horizontal side in the ratio 2 : 3, first convert the ratio between the parts into the fraction of the sum that the first part is equal to:    a/a+b= 2/2+3= 2/5

Multiply the length of the horizontal side by the fraction, and then add the result to the x-coordinate of point A:  Xc= Xa  + (a/a+b) (Xb - Xa) = 1+ (2/5 x 4) = 2.6

Multiply the length of the vertical side by the fraction, and then add the result to the y-coordinate of point A:  Yc= Ya  + (a/a+b) (Yb - Ya) = 1+ (2/5 x 2) = 1.8

It follows that point C is located at (2.6, 1.8).

Answer:

The coordinates of point C is (2.6,1.8)

Step-by-step explanation:

Answer:

Total number of congruent sections/parts = 7

[tex] k = \frac{3}{7} [/tex]

Step-by-step explanation:

Given that partitions directed segment AB such that AP : PB = 3 : 4, this implies that:

There are 7 parts/congruent sections that AB has been divided into.

Also, point P, partitions AB in the ratio 3:4.

Therefore, there are a total of 7 congruent sections/parts.

Value of k:

Value of k = numerator of the original ratio ÷ sum of numerator and denominator of the original ratio

[tex] k = \frac{3}{3 + 4} [/tex]

[tex] k = \frac{3}{7} [/tex]

Answer:

13.2 miles/ 1.6 hours= 8.25 miles/hour.Mr. Phillips's speed was 8.25

Answer:

9.14285714286

Step-by-step explanation:

i dont know if you need to round it but heres the answer (hasnt been rounded)

Answer:

4.79 g

Step-by-step explanation:

mass of salicylic acid = ??

Mass of polyethylene = 75 g

% w/w concentration = 6% w/w

Let the mass of  salicylic acid be x

Let the mass of solution = 75 + x

from

% w/w = mass of solute/ mass of solution * 100

Hence concentration of salicylic is;

6 = (x/75 + x) * 100

6/100 = x/75 + x

0.06 (75 + x) = x

4.5 + 0.06x =x

4.5 = x-0.06x

x = 4.5/0.94

x= 4.79 g

4.79 grams of salicylic acid should be added to 75 g of a polyethylene glycol ointment to prepare an ointment containing 6% of salicylic acid.

To determine how many grams of salicylic acid should be added to 75 g of a polyethylene glycol ointment to prepare an ointment containing 6% of salicylic acid, the following calculation must be performed:

Therefore, 4.79 grams of salicylic acid should be added to 75 g of a polyethylene glycol ointment to prepare an ointment containing 6% of salicylic acid.

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Answer:

The probability that there will be

(a) at least 2 such accidents in the next month?

= 0.864

(b) at most 1 accident in the next month?

= 0.136

Step-by-step explanation:

This is a Poisson Distribution question.

The formula is given as:

For X = x ,

= λ^x × e^-λ/x!

The monthly worldwide average number of air- plane crashes of commercial airlines is 3.5. What is the probability that there will be

(a) at least 2 such accidents in the next month?

= λ^x × e^-λ/x!

λ = 3.5

x = at least 2 such accidents

x ≥ 2

= 1 - [P(x = 0) + P(x = 1)]

= 1 - [(3.5^0 × e^-3.5/0!)+ (3.5^1 × e^-3.5/1!)]

= 1 - [ 1 × 0.0301973834 + 3.5 × 0.0301973834]

1 - [ 0.0301973834+ 0.105690842]

= 0.8641117746

≈ 0.864

(b) at most 1 accident in the next month?

= λ^x × e^-λ/x!

λ = 3.5

x = at most 1 such accidents

x ≤ 1

= [P(x = 0) + P(x = 1)]

= [(3.5^0 × e^-3.5/0!)+ (3.5^1 × e^-3.5/1!)]

= [ (1 × 0.0301973834) + (3.5 × 0.0301973834)]

[ 0.0301973834+ 0.105690842]

= 0.1358882254

≈ 0.136

neither

Step-by-step explanation:

parallel has same slope and perpendicular has opposite reciprocal slope and this has neither