what is the exact volume of the cylinder?

[tex]6 = 1 \: \over 3x + 5[/tex]

Answer:   $5.64

Step-by-step explanation:

Let x represent 1 box of batteries

Let y represent 1 case of batteries

Given: 14x = 3y

Given: 158 = 14x + 3y

Use substitution: 158 = 14x + 14x

Simplify:                158 = 28x

Divide by 28:        5.64 = x

Answer:

10 km

Step-by-step explanation:

8^2+6^2=10^2

Answer:

Juan traveled 10 km.

Step-by-step explanation:

is also right on EDGEN.

The spiciness of chili is determined by comparing the proportion of chili powder to tomato sauce. Jack consistently uses 222 teaspoons of chili powder per cup of sauce, whereas Marsha's ratio varies, but never exceeds 126.86 teaspoons per cup. Therefore, Jack's chili is spicier.

To determine whose chili is spicier, we must compare the ratio of chili powder to tomato sauce used by Jack and Marsha. Jack uses 222 teaspoons of chili powder for every 1 cup of tomato sauce. For Marsha, we'll have to establish the ratios based on her table.

Regardless of the quantity she makes, Marsha's ratio never goes below 115.43, which is less than Jack's ratio of 222. So, Jack's chili is spicier than Marsha's.

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Answer:

B

Step-by-step explanation:

Multiplying something by 10^-1 is just dividing it by 10.

So 3.02 / 10 = 0.302 since the decimal point moves one to the left.

B

Explication pas à pas:

[tex]3.02 / 10 = 0.302[/tex]

le point décimal se déplace de un à gauche.

Answer:

160 cups of lemonade and 80 packages of cookies.

Step-by-step explanation:

l = lemonade

c = cookies

l+1.5c=280

2c=l

Substitute.

3.5c=280

Simplify.

c=80

Substitute into the second equation.

l=160.

Plug it back into the equations to check.

Answer:

f

−

1

(

x

)

=

2

x

+

6

?

f^-1(x)=2x+6 is the answer i believe

Answer:

−2x−3

Step-by-step explanation:

I don't know if right

Answer:

The line which has slope 1/3 is a shallow line.

The line which has slope 2 is a steep line.

Both are increasing.

Step-by-step explanation:

Compare the lines by finding the slope between each pair of points.

Using the slope formula, substitute the points.

[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{4-2}{6-0} = \frac{2}{6} = \frac{1}{3}[/tex]

[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{7-1}{5-2} = \frac{6}{3} = 2[/tex]

The line which has slope 1/3 is a shallow line.

The line which has slope 2 is a steep line.

Answer:

Fifty two thousand nine hundred forty

Step-by-step explanation:

Thank you!!

Please mark this as the brainliest one!!!

Answer:

parallelogram with equal diagonals that bisect the angles

Step-by-step explanation:

A square is a geometric shape with four equal sides and four right angles. Its diagonals are equal and bisect each other at right angles. The perimeter is calculated as 4 times the side length, and the area is the side length squared.

A square is a fundamental geometric shape, characterized by several distinct properties:

For example, if each side of a square is 2 feet long,

area= 2 feet x 2 feet = 4 square feet.

These geometric properties make squares an important figure in mathematics and are often found in various structures and designs, emphasizing clarity and symmetry.

Leisure activities can be categorized as either active or passive and include a variety of pursuits from bowling, hunting, and team sports to reading, computer games, and television viewing. Technological advancements have led to an increase in sedentary leisure activities such as web surfing.

Leisure activities encompass a range of pursuits that individuals engage in during their free time for enjoyment, relaxation, and entertainment.

In contemporary society, leisure activities have evolved to include both active and passive forms.

Examples of active leisure activities that were popular in the past include sports such as bowling, hunting, fishing, boating, and golf, as well as attendance at team sports like baseball, basketball, and football.

These activities usually involve physical exertion and outdoor participation.

On the other hand, sedentary or passive leisure activities have grown in prevalence with advancements in technology, including computer games, web surfing, and television viewing.

Furthermore, cultural activities such as reading books and magazines, enjoying music, dancing, and art have remained significant leisure pursuits.

Examples of recreational goods and services include televisions, cable television, pets and pet products, sports equipment, and admissions to events or locations relating to these activities.

Answer:

x=10

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

7x-3 + 12x-7 = 180

Combine like terms

19x-10 = 180

Add 10 to each side

19x-10+10 = 180+10

19x = 190

Divide by 19

19x/19 = 190/19

x= 10

Answer:

10

Step-by-step explanation:

We are given a diagram which we are to analyze and and solve for x.

We can see the a straight line is intersected by another line thus forming two angles which are supplementary. It means that the sum of these angles is equal to 180 degree.

So we can write them as:

[tex] ( 7 x - 3 ) + ( 12 x - 7 ) = 180 \\\\ 12 x + 7 x = 180 + 3 + 7 \\\\ 19 x = 190 \\\\ x = \frac { 190 } { 19 }\\\\ x = 10 [/tex]

Therefore, the correct answer option is 10.

Answer:

8:10

Step-by-step explanation:

If you add the amount of minutes it takes for her to get ready, then add them to 7:15 (55 minutes after 7:15) you get 8:10

The answer is d. I already did the math on the calculator

Answer:

A. $240,000

Step-by-step explanation:

look at the chart - find $30,000 and find 35 year old / 75%.. go down and to the right of the chart and find 8.0.. multiply 30,000 by 8.0 = 240,000.

hope this helps!!

let's set up an equation

4x=24

solve normally:

x=6

so the expression is 4x=24 and she can have 6 kids in each group

Answer:

your answer is 20. Hope this helped! :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

its 15

Answer:

C. If two points lie in a plane, the line containing those points lies in the same plane.

D. If two points lie in a plane, the line containing those points lies in the same plane.

Best regards

Answer: D. Taking Art class and taking French class are not independent events because P(A|B)≠P(A) and P(B|A)≠P(B) .

Step-by-step explanation:

We know that for dependent events A and B , the conditional probability of getting a given that B is given by :-

[tex]P(A|B)=\dfrac{P(A\cap B)}{P(B)}[/tex]

From the given table, if A represent taking French class and B represent taking Art class.

Then P(A)=0.6

and P(B)=0.55

[tex]P(\cap B)=0.2[/tex]

Now, [tex]P(A|B)=\dfrac{0.2}{0.55}=0.036363\approx0.036[/tex]

[tex]P(B|A)=\dfrac{P(A\cap B)}{P(A)}=\dfrac{0.2}{0.6}=0.33333\aprox0.333[/tex]

Clearly, [tex]P(A|B)\neq P(A)[/tex]

[tex]P(B|A)\neq P(B)[/tex]

Therefore taking Art class and taking French class are not independent events because P(A|B)≠P(A) and P(B|A)≠P(B) .[ By definition of independent events]

The correct statement is D; Taking Art class and taking French class are not independent events.

Consider A represent taking a French class and B represents taking an Art class.

The formula to determine whether two events are independent or not is P(A and B) = P(A) x P(B),

where P(A and B) is the probability of both events happening together, P(A) is the probability of event A happening, and P(B) is the probability of event B happening.

D. Taking Art class and taking French class are not independent events because P(A|B)≠P(A) and P(B|A)≠P(B).

This statement is incorrect because the formula to determine whether two events are independent or not is;

P(A and B) = P(A) x P(B),

not P(A|B) ≠ P(A) and P(B|A) ≠ P(B).

Using the values in the table:

P(A) = 0.6 (taking French class)

P(B) = 0.55 (taking Art class)

P(A and B) = 0.2 (taking both classes)

P(A and B) ≠ P(A) x P(B)

0.2 ≠ 0.6 x 0.55

The correct statement is option D.

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[tex]\bf \textit{difference of squares} \\\\ (a-b)(a+b) = a^2-b^2 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (a-5)^2(5+a)^2\implies (a-5)^2(a+5)^2\implies [(a-5)(a+5)]^2\implies \stackrel{\stackrel{\textit{difference}}{\textit{of squares}}}{[a^2-5^2]^2} \\[2em] [a^2-25]^2\implies (a^2-25)(a^2-25)\implies \stackrel{\mathbb{F~O~I~L}}{a^4-50a^2+25^2}\implies a^4-50a^2+625[/tex]

Answer:

16 team members.

Step-by-step explanation:

To find 80% of 20, multiply 20 by 0.8.

20 × 0.8 = 16.

Answer:

Step-by-step explanation:

If the radius of a circle is doubled, the area of the circle will be quadrupled and the circumference will also be doubled. This makes sense because the area of a circle is directly proportional to the square of the radius of the circle (if the radius of a circle is increased x times, its area will be increased to x^2 times the original area), whereas the circumference is proportional to the size of the radius (if the radius of a circle is increased x times, its circumference will increase x times).

Final answer:

To find the speed of the current, we can set up equations for the boat's downstream and upstream speeds and solve for the current speed.

Explanation:

To find the speed of the current, let's assume the speed of the boat in still water is x mph. Since the boat's speed downstream is 60 mph, we can set up the equation:

(x + c) * t = 60

Where 'c' represents the speed of the current, and 't' represents the time taken. Similarly, the equation for the upstream speed of the boat (36 mph) can be written as:

(x - c) * t = 36

Simplifying these equations, we get:

x + c = 60/t

x - c = 36/t

Adding these equations, we obtain:

2x = 96/t

Solving for x, we get:

x = 48/t

Substituting this value back into one of the original equations, we can solve for t:

(48/t) + c = 60/t

Simplifying, we find:

c = 12/t

Therefore, the speed of the current is inversely proportional to the time taken for the downstream and upstream journeys.

The expression 4(2x+1)-(-6x) simplifies to the equivalent expression 14x + 4 using the distributive property and the rule for subtracting negative numbers.

The expression given is 4(2x+1)-(-6x). To simplify this expression, we should use the distributive property and also the rule that subtracting a negative is the same as adding a positive.

Let's break down the steps:

The equivalent expression for the given problem is found to be 14x + 4.

B 3-5 is the correct answer.

Final answer:

You should prepare a separate sheet with 3-5 references when an employer requests them, choosing them strategically and ensuring they agree to vouch for you.

Explanation:

When an employer asks for your list of references, you should be prepared to provide a separate sheet with this information, rather than listing it directly on your résumé. A generally accepted number of references is three, so the best answer to how many references should be ready to list if an employer asks for them is 3-5. These references could include a mix of superiors, co-workers, clients, or instructors. It is important to contact each reference to confirm their willingness to speak on your behalf and to ensure your reference sheet is consistent with the look of your cover letter and résumé. Moreover, always choose references strategically, selecting those who can positively attest to your skills, knowledge, and work habits.

Answer:

The correct answer is C.

Step-by-step explanation:

For stem leaf plot, the only thing you do is put the number on the tens place under "stem" and the number on the ones place under "leaf".

The stem-and-leaf plot that represents the data is the Stem and leaf of option C.

Option C is the correct answer.

In statistics, a stem-and-leaf plot is a way to display a set of numerical data in a visual format that allows for easy analysis of the distribution of the data.

We have,

The data are:

10, 70, 37, 65, 88, 86, 70, 10, 15, 15, 15

This can be written in stem and leaf form as:

Stem and leaf of option C.

Now,

There are 5 numbers where the first value is 1.

i.e

10, 10, 15, 15, and 15.

This can be seen in the Stem and leaf of option C.

Thus,

The stem-and-leaf plot that represents the data is the Stem and leaf of option C.

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Answer:

1 23/24

Step-by-step explanation:

Add up distance between park, home, and store. 7/8 + 1/4 + 5/6 = 47/24

Turn into mixed number (simplest form). 1 23/24 miles

Answer:

pythag. theorem

100^2 +60^2 =c^2

10,000+3600= (take sq. root) 13,600

c= 116.62ft

Step-by-step explanation:

The length of the diagonal of the football field is 116.62 yards.

The Pythagorean theorem states that in a right-angled triangle, the sum of the squares of the two smaller sides is equal to the square of the hypotenuse.

A football field is rectangular in shape.

The diagonal of a rectangle divides it into two right-angled triangles.

Therefore, the diagonal becomes the hypotenuse of the right-angled triangles.

Therefore, diagonal² = length² + width²

⇒ diagonal² = 10,000 + 3600 yards²

⇒ diagonal² = 13,600 yards²

⇒ diagonal = 116.62 yards

Therefore, the length of the diagonal of the football field is 116.62 yards.

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Answer:

B. [tex]g(x)=(x+4)^2-3(x+4)-2[/tex]

Step-by-step explanation:

The given function is

[tex]f(x)=x^2-3x-2[/tex]

If [tex]f(x)[/tex] is shifted to the left 4 units and the result is [tex]g(x)[/tex].

Then;

[tex]g(x)=f(x+4)[/tex]

We substitute [tex](x+4)[/tex] into [tex]f(x)=x^2-3x-2[/tex] to find the [tex]g(x)[/tex].

[tex]g(x)=(x+4)^2-3(x+4)-2[/tex]

The correct choice is B.

Answer:

The son is 7 and the daughter is 21

Step-by-step explanation:

So, if they’re his kids they must be younger than him which means that both ages are more than 42. One number also has to be the other one times 3. 7*3 = 21 and they are also both less than 42. That means it’s your answer.

Brainliest please

After 10 years, the two siblings are 12 years and 36 years old.

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given:

A father who is 42 years old has a son and a daughter.

The daughter is three times as old as the son.

Let x be the age of the son, then 3x be the age of the daughter.

After 10 years, the sum of all their ages will be 100 years.

That means,

x + 10 + 3x + 10 + 42 = 100

4x = 48

x = 12

Then 3x = 36.

Therefore, the ages of the siblings are 12 and 36.

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Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square

• The coefficient of the x² term must be 1

y = 2(x² - 9x) + 8

• add/subtract (half the coefficient of the x- term)² to x² - 9x

y = 2(x² + 2 (- [tex]\frac{9}{2}[/tex]) x + (- [tex]\frac{9}{2}[/tex])² - (- [tex]\frac{9}{2}[/tex])²) + 8

y = 2(x - [tex]\frac{9}{2}[/tex])² - 2([tex]\frac{81}{4}[/tex] + 8

  = 2(x - [tex]\frac{9}{2}[/tex])² - [tex]\frac{65}{2}[/tex] ← in vertex form