A boat can travel 21 miles on 7 gallons of gasoline. How far can it travel on 17 gallons?

Answer:

17 instructors

Step-by-step explanation:

If each instructor will get 10 children, we have to divided the total number of children taking swimming lessons by the number of children assigned to each instructor (10):

165/10 = 16.5

Unfortunately, we can't have 16 and a half instructors. Since 5 children are remaining, we can round up 16.5 to 17 and get 17 instructors. This implies that 16 instructors will teach 10 children (160 in total) and 1 instructor will teach 5 children (5 in total). 160+5 = 165 total children.

Answer:

see explanation

Step-by-step explanation:

The relationship between D and G is

90D = 100G

that is there are 100 grades in 90°

Given any angle in degrees (D)

Divide by 90 to find how many right angles

Then multiply by 100 to convert to grades , so

G = [tex]\frac{D}{90}[/tex] × 100 = [tex]\frac{10}{9}[/tex] D ( multiply both sides by 9 to clear the fraction )

9G = 10D ( divide both sides by 10 )

[tex]\frac{9G}{10}[/tex] = D ( divide both sides by 9 )

[tex]\frac{G}{10}[/tex] = [tex]\frac{D}{9}[/tex]

Answer:

1/625 = 0.0016

Step-by-step explanation:

update, oh sorry, this is about 4 picks and not 5.

so, it is 1/5⁴ = 1/625 = 0.0016

1 in 5 own their own car.

that is 20% or a chance of 1/5 = 0.2 of picking a student owning a car.

let's assume that the total number of students is large enough that each pick does not change the individual probabilities.

each event (picking a student and checking the ownership of a car) is independent and non-overlapping.

so, the probability that all 5 own a car is the chance of picking the 5th student owning a car AND all 4 previous student picks owning a car.

the probability that all 4 previous picks own a car is the chance of picking the fourth student owning a car AND all 3 previous student picks owning a car.

the probability that all 3 previous picks own a car is the chance of picking the third student owning a car AND all 2 previous student picks owning a car.

the probability that all 2 previous picks own a car is the chance of picking the second student owning a car AND the previous student pick owning a car.

the probability that the first student pick owns a car is 1/5 or 0.2

so, we have a clean

1/5×1/5×1/5×1/5×1/5 = 1/5⁵ probability = 1/3125 = 0.00032

Answer:

Step-by-step explanation:

Answer:

q=6

Step-by-step explanation:

3+9+5+7+Q=5Q

5Q-Q=24

Q=6

The logarithmic model is:

[tex]g(x) = \frac{\ln{x}}{0.4}[/tex]

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

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The original function is:

[tex]y = f(x) = e^{0.4x}[/tex]

To find the inverse function, first, we exchange y and x, so:

[tex]e^{0.4y} = x[/tex]

Now, we have to isolate y, and we start applying the natural logarithm to both sides of the equality. So

[tex]\ln{e^{0.4y}} = \ln{x}[/tex]

[tex]0.4y = \ln{x}[/tex]

[tex]y = \frac{\ln{x}}{0.4}[/tex]

Thus, the logarithmic model is:

[tex]g(x) = \frac{\ln{x}}{0.4}[/tex]

A similar question is given at https://brainly.com/question/24290183

Step-by-step explanation:

x=29

y=20

that's the answer

Answer:

B.The coefficient of determination measures the percent of variation explained by the multiple regression model.

Step-by-step explanation:

The answer to this question is option b because the coefficient of variation R² gives a measure of the variability that is ending y values or the dependent variables which can be explained in a multiple linear regression.

In simpler words, it is the percentage of proportion of variation in the dependent variable that can be predicted using the explanatory variables.

Answer:

13 cup i hope this help

Step-by-step explanation:

Hey there!

A right pyramid with a square base just means that it isn't slanted all funny. If you create a triangle with a point on one of the edges of the base, the center of the base, and the top of the pyramid, it would be a right triangle.

To find the volume of a right pyramid, you just take the base area, multiply it by the height, and then divide by three.

However, we are looking for the height. We have been given, so we will just go backwards.

252×3=756 (multiply instead of divide)

6×6=36 (base is a square, so you just square 6. This is our base area)

756/36=21

So, the vertical height of the pyramid is 21 cubic centimeters.

Have a wonderful day! :D

Answer:

(b) 829 seconds

(c) 13.8 minutes

Step-by-step explanation:

(b) 2.48×10⁸/2.99×10⁵ = 829 seconds

(c) 829/60 = 13.8 minutes

Answer:

Hence the required probability is, 3/4

Step-by-step explanation:  

At the shelter, he likes :  

a male coolie, a female coolie, a male boxer, a female boxer, a male beagle, a female beagle, a male Labrador, and a female Labrador.  

Let, A denote the event of selecting a male coolie and B denote the event of selecting a male Labrador.  

P(A) = 1/8 = P(B)  

Here the probability of selecting a puppy except A & B is,  

P(AUB)c = 1 - P(AUB) = 1 - { P(A) + P(B) } = 1 - 1/8 - 1/8 = 3/4

Answer:

Not sure but I think it's 3.75

Answer:

The answer is 82.2  

Step-by-step explanation

hope this helps

Answer:

28

Step-by-step explanation:

Find the gcf

Answer:

x=145°

Step-by-step explanation:

180 = 35 + x

x = 180-35

x= 145°

Answer:

b=(2a-1)/(3a-1)

Step-by-step explanation:

a=(b-1)/(3b-2)

3ab-2a=b-1

3ab-b=2a-1

b(3a-1)=2a-1

b=(2a-1)/(3a-1)

Answer:

(x - 3) inches

Step-by-step explanation:

the ratio of -15 (of the area term) and +5 (of the length term) suggests a term for the width ending in -3. and we need an x in there to get x² for the area.

so, immediate assumption is (x-3) for the width.

let's check

(x+5)(x-3) = x² + 5x - 3x - 15 = x² + 2x - 15

correct.

9514 1404 393

Answer:

Step-by-step explanation:

Let n represent the number of non-cardholder tickets sold. Then total revenue is ...

  2.00n +1.25(578 -n) = 880.00

  0.75n + 722.50 = 880.00

  0.75n = 157.50 . . . . . . . . . . . subtract 722.50

  n = 210 . . . . . . . . . . . . . . . divide by 0.75. Number of non-cardholder tickets

  578 -n = 368 . . . . . number of cardholder tickets

368 cardholder and 210 non-cardholder tickets were sold.

Answer:

B. The largest exponent value of the a terms is equal to the value of the exponent on the binomial. The exponent values then decrease from left to right.

Step-by-step explanation:

The exponent values of the a terms increase from one side of the binomial to the other. The value of the largest exponent is equal to part of the binomial expression.

Answer:

Not a subspace

Step-by-step explanation:

(4,0,0) and (0,4,0) are vectors in R3 with zero or one entries being nonzero, but their sum, (4,4,0) has two nonzero entries.

Answer: infinitely many

Answer:

24.8 units

Step-by-step explanation:

Given

[tex]n = 10[/tex] --- sides

The attached decagon

Required

The perimeter

The decagon is made up of 10 isosceles triangles.

The angle at the vertex of each is:

[tex]Angle = \frac{360}{10}[/tex]

[tex]Angle = 36[/tex]

Next, we create a right-angled triangle from the shape (see attachment)

[tex]\theta[/tex] is calculated as:

[tex]\theta = \frac{Angle}{2}[/tex]

[tex]\theta = \frac{36}{2}[/tex]

[tex]\theta = 18[/tex]

Next, calculate x using:

[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]

So, we have:

[tex]\sin(18) = \frac{x}{4}[/tex]

Make x the subject

[tex]x = 4 * \sin(18)[/tex]

[tex]x = 1.24[/tex]

So, the length (L) of one side of the decagon is:

[tex]L = 2x[/tex]

[tex]L = 2 * 1.24[/tex]

[tex]L = 2.48[/tex]

The perimeter (P) of the shape is:

[tex]P = 10 *L[/tex]

[tex]P = 10 * 2.48[/tex]

[tex]P = 24.8[/tex]

The perimeter of the given polygon rounded to the nearest tenth is; 24.7

The given polygon as we can see has 10 sides.

Now, when we draw a line from the center to the next vertex to the left of the one currently having a line, we will see that the angle can be calculated as; 360/10 = 36° because sum of exterior angles of a polygon sums up to 360°.

Thus, the other two angles will be; (180 - 36)/2 = 72° each

Using sine rule, we can find the length of a side of the polygon as;

x/sin 36 = 4/sin 72

x = (4 * sin 36)/sin 72

x = 2.472

Thus, perimeter = 2.472 * 10 = 24.72 ≈ 24.7

Read more about perimeter at; https://brainly.com/question/397857

Answer:

14 days

Step-by-step explanation:

Answer:

x = 20.8

y = 22.3

Step-by-step explanation:

tan(21) = 8/x

or, x = 8/tan(21)

or, x = 20.8 (rounded to the nearest tenth)

sin(21) = 8/y

or, y = 8/sin(21)

or, y = 22.3 (rounded to the nearest tenth)

Answered by GAUTHMATH

Answer:

C.

Step-by-step explanation:

A P E X

Answer:

D

Step-by-step explanation:

Graph it

Answer:

The two lines are:

y=x+2 and y=-2x+6

Dotted lines represent < or >, whereas the opposite is true for solid lines.

So the correct answer is the first option.

Hope this helps!