Billy's Boat Rental Company charges a yearly fee of $105 and $9.50 each time a member wants to rent a boat. Lisa's Boat Rental Company does not charge a yearly fee, but charges $14.75 every time a member rents a boat. How many times does a person have to rent a boat for the cost to be the same amount at both rental companies?

Answer:

[tex]\frac{22}{3}[/tex] = b

or

7[tex]\frac{1}{3}[/tex] = b

(they are the same value, just different ways of writing it)

Step-by-step explanation:

4 = -[tex]\frac{2}{3}[/tex] (5) + b

simplify

4 = -[tex]\frac{10}{3}[/tex] + b

now use inverse operations

4 = -[tex]\frac{10}{3}[/tex] + b

+[tex]\frac{10}{3}[/tex]  +[tex]\frac{10}{3}[/tex]

[tex]\frac{22}{3}[/tex] = b

The values of x are : 6.27 and -1.27

Answer:

These lines are parallel to each other

Step-by-step explanation:

It has the same slope of 3 and the only thing that is different is the y-intercept

Given:

Malik's arts and crafts shop has a bolt of crimson velvet 32 meters long.

Velvet purchased by first customer = 120 centimeters

Velvet purchased by second customer = 14 meters

To find:

The remaining velvet in Malik's shop.

Solution:

We know that,

1 meter = 100 cm

Using this conversion, we get

32 meter = 3200 cm

14 meter = 1400 cm

Now,

Remaining velvet in Malik's shop = (3200 - 120 - 1400) cm

                                                    = 1680 cm

Therefore, the remaining velvet in Malik's shop is 1680 cm.

Answer:

262, 440

Step-by-step explanation:

40 x 3^8

40 x 6561

262, 440

Given parameters:

        1.        [tex]-\frac{7}{8} + \frac{1}{4}[/tex]  

         [tex]-\frac{7}{8} + \frac{1}{4}[/tex]; find the LCM = 8

             =    [tex]\frac{-7 + 2 }{8}[/tex]        

             =     [tex]\frac{-5}{8}[/tex]

       2.   [tex]-\frac{12}{5} + 15.3[/tex]  

            Make the fraction decimal;

             [tex]-\frac{12}{5}[/tex]   = -2.4

            So;

                        -2.4 + 15.3  = 12.9  

Answer:

Part 1:

Due to these magnitudes are too big, it is better to use km as a unit of diameter measurement.

Part 2:

The diameter of the sun is approximately 109 times the diameter of the earth.

Step-by-step explanation:

Part 1:

Due to these magnitudes are too big, it is better to use km as a unit of diameter measurement.

So we can rewrite the diameter of the Earth in terms of km, knowing that 1 km = 1000000 mm.

[tex]D_{E}=1.2742\times 10^{10}mm*\frac{1km}{1000000mm}=1.2742\times 10^{4} km[/tex]

Part 2:

We can divide each diameter to find the relation between them.

[tex]\frac{D_{S}}{D_{E}}=\frac{1.391\times 10^{6} km}{1.2742\times 10^{4} km}=109.2[/tex]

Therefore the diameter of the sun is approximately 109 times the diameter of the earth.

I hope it helps you!

Answer:

B.)

Step-by-step explanation:

that is a characteristic of a maximum value parabola.

Answer: it's the letter b.

Step-by-step explanation:

Answer:

[tex]d=\sqrt{593}[/tex]

Step-by-step explanation:

Distance Between two Points in the Plane

Given two points A(x,y) and B(w,z), the distance between them is:

[tex]d=\sqrt{(z-y)^2+(w-x)^2}[/tex]

We are given the points (5, 14) and (−3, −9). Substituting into the formula:

[tex]d=\sqrt{(-9-14)^2+(-3-5)^2}[/tex]

[tex]d=\sqrt{(-23)^2+(-8)^2}[/tex]

[tex]d=\sqrt{529+64}[/tex]

[tex]\boxed{d=\sqrt{593}}[/tex]

Answer:

257

Step-by-step explanation:

Let the number of Adults = x

Number of senior citizens = y

Number of children = z

x + y + z = 670 tickets

The Family Arts Center charges $22 for adults, $13 for senior citizens, and $5 for children for their live performance on Sunday afternoon.

$22 × x + $13 × y + $5 × z = $8526

22x + 13y + 5z = 8526

There were 49 more children than adults.

z = x + 49

x + y + z = 670 tickets

x + y + x + 49 = 670

2x + 49 + y = 670

y = 670 - 2x - 49

We substitute

22x + 13y + 5z = 8526

22x + 13(670 - 2x - 49) + 5(x + 49) = 8526

22x + 8710 - 26x - 637 + 5x +245 = 8526

22x + 5x - 26x + 8710 - 637 + 245 = 8526

x + 8318 = 8526

x = 8526 - 8318

x = 208

The number of Adults = 208

The number rod children is calculated as:

z = x + 49

z = 208 + 49

z = 257

The number of children = 257

Answer:

Step-by-step explanation:

If Ramina found the length of two pieces of ribbon to be 47.6 inches and 39.75 inches, the effective strategy of finding the sum of the two lengths is to:

1) First is to add the two values together

47.6 + 39.75

= (47+0.6)+(39+0.75)

= (47+39)+(0.6+0.75)

= 86 + 1.35

= 87.35

2) Round up the answer to nearest whole number.

87.35 ≈ 87 (note that we couldn't round up to 88 because the values after the decimal point wasn't up to 5)

Option C is correct

Answer:

B. Round 39.75 to 40 and 47.6 to 48, then add.

Step-by-step explanation:

Answer: -3.125

Step-by-step explanation: -1.25 x 2.5 = -3.125.

Answer:

b

Step-by-step explanation:

Answer:

1. The runner travels 8 miles in 2 hours

2. The runner's speed is 4 miles per hour

Step-by-step explanation:

EDG 2020

The runner travels 10 miles in 2 hours.

From the graph determine how much distance travel by runner in 2 hours.

The graph is a demonstration of curves  which gives the relationship between x and y axis.

Question seems to be incomplete. Here is the assumed data, from graph.

x (time) in hours       = 1  2  3  4  5
y (distance) in miles =  5 10 15 20 25

Here, from data runner travels 10 miles in 2 hours.

Thus, the runner travels 10 miles in 2 hours.

Learn more about graphs here:

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Answer: 0.91

Step-by-step explanation: im hungry

Answer:

for the first one rule x6-3:

4=21, 8=45, 5=27, 9=51, 7=39, and 10=57

For the next one:

1=2, 2=4, 3=6, 6=12, 9=18, and 10=20

Step-by-step explanation:

Okayy! Done! The first number is input, the second number is output. So first you have 2 times 4 divided by 2! 3 times 4 divided by 2. Just follow the rule.

Answer:

y = [tex]\sqrt{19^2 + 8.2^2}[/tex]

Step-by-step explanation:

to get the hypotenuse:

use the Pythagorean theorem:

a² + b² = c²

where a = 19,  b = 8.2  c = y

plugin values:

19² + 8.2² = y²

y = [tex]\sqrt{19^2 + 8.2^2}[/tex]

Answer:

y = [tex]\sqrt{19^2+8.2^2}[/tex]

Step-by-step explanation:

Find the hypotenuse

Answer:

I can't see it.

Step-by-step explanation:

Answer:

the unit rate is 1.33$ per pound of apples

Step-by-step explanation:

you can rewrite the word problem as

3x = 3.99.

now just divide both sides by 3.

3x / 3 = 3.99/3

x = 1.33

Answer:

x=1

Step-by-step explanation:

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

Answer:

Step-by-step explanation:

20 + 16

= 4 (5 + 4)

= 4(5) + 4(4)

= 20 + 16

therefore, the answer is 4 (5 + 4)

Answer:

He will pay $640 in interest in 4 years.

Step-by-step explanation:

Yearly interest will be $160

because $4,000 x 7% = $160

$160 x 4 years = $640

Answer:

the answer is B hope this helps

Function y=(x-1)(x-1) satisfy the condition for the given graph.

A function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.

According to given graph,

At x =0, the value of y = 1,

So substitute x = 0 in the given options,

Which option gives y = 1 will be correct option.

(A)

y = x² - 5x + 6

y = 0 -5x0 + 6

y = 6

(B)

y = (x-1) (x-1)

y = (0-1)x (0 - 1)

y = 1

(C)

y=(x-3) (x+1)

y = (0-3)x(0+1)

y = -3

(D)

y = x² -x + 5​

y = 0 - 0 + 5

y = 5

Option (B) is the correct option.

To know more about Function on:

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Step-by-step explanation:

Solution,

since two of these triangle are similar so,

i) LK/LJ=MN/NO

or,j/8=18/12

or,j=18×8/12

.°. j = 12m

ii)JK/JL=MO/NO

or,10/8=n/12

or,120/8=n

.°.n=15m

Answer:

11,3

Step-by-step explanation: basic midpoint formula

Answer:f(x)=-3x+6

Step-by-step explanation:

Answer:

A. f(x)=-3x+6

Step-by-step explanation:

Answer:

X-intercept= (1/2,0) Y-intercept= (0,1)

Step-by-step explanation:

You're welcome :)