At each football game, the team drinks at most 4 coolers of water. Write an inequality
that represents this situation. Let c represent the number of coolers of water.

Answer:

The difference in the areas of the cross section is 32 m²

Step-by-step explanation:

The given parameters are;

The height of the rectangular pyramid = 8 meters

The length of the base of the pyramid = 7 meters

The width of the base of the pyramid = 15 meters

Whereby triangular cross sections are formed through the vertex and perpendicular to the base, and to each other, we have;

The sides of the two triangles consists of the following;

1) Two slant height of the pyramid each

2) The two perpendicular lines joining the midpoints of the opposite sides of the base of the pyramid with length equal to the length of the adjacent side to the sides from which they are drawn which are 15 meters and 7 meters

3) The two lines and the corresponding slant height form triangles cross section which are perpendicular to each other.

the slant height, [tex]h_l[/tex], is given as follows;

[tex]h_l[/tex] = √(8² + (15/2)²) ≈ 10.966

For the triangular cross section with base = 15 m

The area of the cross section = 1/2 × Base₁₅ × Height = 1/2 × 15 m × 8 m = 60 m²

For the triangular cross section with base = 7 m

The area of the cross section = 1/2 × Base₇ × Height = 1/2 × 7 m × 8 m = 28 m²

The difference in the areas of the cross section = 60 m² - 28 m² = 32 m².

Answer:

Is the w2, w(2) or

[tex] {w}^{2} [/tex]

?

If it's w(2) the answer is -4--8+1=-4+8+1=5

if it's w^2 then the answer would be 4--8+1=4+8+1=13

Answer:

1000a+100b+10c+d

Step-by-step explanation:

place value of a =1000×a

place value of b=100×b

place value of c=10c

place value of d=1×d

Answer:

x < y

Step-by-step explanation:

Answer:

133.33 years

Step-by-step explanation:

Given that:

Principal = $500

Interest rate (r) = 1.5% = 0.015

Triple amount of principal = $500 * 3 = $1500 = final amount (A)

Number of years (t) =?

Using the relation :

A = P(1 + rt)

1500 = 500(1 + 0.015t)

1500 / 500 = 1 + 0.015t

3 = 1 + 0.015t

3 - 1= 0.015t

2 = 0.015t

2 / 0.015 = 0.015t / 0.015

133.333 = t

133.33 years

Answer:

$59.75

Step-by-step explanation:

1065-826=239

239÷4=59.75

Answer:

Peyton in the correct option

Step-by-step explanation:

The correct expression is given by Peyton.

An expression is a sentence with a minimum of two numbers or variables and at least one math operation.

Consider if m is any integer, then

gcd (a + m⋅ b, b) = gcd (a, b).

If m is a positive divisor, then

gcd (a/m, b/m) = gcd (a, b)/m.

So, if x and y are prime, then

gcd(x*y, b) = gcd(x, b) *  gcd(y, b).

First, find the greatest common factor of the given terms.

The greatest common factor or GCF is the largest factor that all terms have in common.

Then, Factor out the greatest common factor from each term.

Learn more about this expression here:

https://brainly.com/question/14083225

#SPJ2

Answer:

Solution in photo

Step-by-step explanation:

Given:

The function is

[tex]f(x)=\dfrac{x^2-2x-2}{x-2}[/tex]

To find:

The vertical asymptote and oblique asymptote.

Solution:

We have,

[tex]f(x)=\dfrac{x^2-2x-2}{x-2}[/tex]

To find vertical asymptote, equate denominator equal to 0.

[tex]x-2=0[/tex]

[tex]x=2[/tex]

So, the vertical asymptote is [tex]x=2[/tex].

In the given function degree of numerator is greater than denominator so, their is an oblique asymptote. To find oblique asymptote divide the numerator by denominator.

Dividing [tex]x^2-2x-2[/tex] by [tex]x-2[/tex] using synthetic division, we get

2 |  1   -2    -2

          2     0

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

     1    0    -2

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

Here, starting elements of bottom row represent coefficient of quotient and last element of bottom row represents the remainder.

[tex]Quotient=x, Remainder=-2[/tex]

Since, quotient is x, therefore, the oblique asymptote is [tex]y=x[/tex].

Therefore, the correct option is B.

Answer:

You are multiplying the whole number with the reciprocal of the fraction.

Step-by-step explanation:

To divide a whole number by fraction.

You are taking X which is a whole number over the fraction.

its the same as taking x and multiplying it by the reciprocal of the fraction

So if you have 5 divided by 1/2, it's the same as saying 5 times 2/1.

Answer:

a)

Step-by-step explanation:

Answer:

Present salary is 550

Step-by-step explanation:

Here, we want to calculate the present salary seeing that it was 10% added to what we had last year

mathematically, that will be;

10/100 * 500 = 50

Adding this to 500, his present salary is 50 + 500 = 550

Answer:

550 is the answer

Step-by-step explanation:

I got it in the test

Answer:

= 30m

Step-by-step explanation:

to find the length of the fence, find the perimeter of the triangle.

that is b + h + hyp assuming b is the base, h is height and hyp is hypotenuse.

we have the base; height and hypotenuse are not given.

to get the height,

area(A) = 30m2

base(B) = 12m

height(H) = ?

A = 0.5 x B x H

30m2 = 0.5 x 12m x H

30m2 = 6m x L

H = 30m2 / 6m

H = 5m

to get the hypotenuse,

we have to complete the Pythagorean family the base ,12, and height, 5. is in.

formula = a2 + b2 = c2, c is the hypotenuse, a and b can be interchanged either way with base and height.

             = (12 x 12) + ( 5 x 5) = c2

             = 144 + 25 = c2

             = 169 = c2

        c2 = 169

        c = 13

perimeter = b + h + hyp

                = 5 +12 + 13

                 = 30m

Final Answer: [tex]7 + 18r[/tex]

Steps/Reasons/Explanation:

Question: Solve [tex]7 + 8r + 10r[/tex].

Step 1: Collect like terms.

[tex]7 + (8r + 10r)[/tex]

Step 2: Simplify.

[tex]7 + 18r[/tex]

~I hope I helped you :)~

Answer:

The scale: 1 inches = 5 feet

Step-by-step explanation:

Given:

Actual length of backyard = 75 ft

Model's length = 15 inches

Complete;

The scale: 1 inches = ?

Computation:

The scale = Actual length of backyard / Model's length

The scale = 75 / 15

The scale = 5 ft

So,

The scale: 1 inches = 5 feet

Answer:

y= −3 /2 x+ −7 /2

slope= -3/2

Step-by-step explanation:

y−1= −3 /2 (x+3)

y= −3 /2 x+ −7 /2

according to y=mx+b slope intercept form

-3/2 is the slope

Answer:

x=(3y-11)/5

3(y-2)= 5(x+1) by cross multiplication

5x+5=3y-6

5x=3y-6-5

5x=3y-11

We divide by 5 on both sides

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

Explanation:

Think of x as a placeholder for a number. For me, I tend to think of it as a box. It's handy that the letter x is part of box, to help make that connection better. We have some box and inside the box goes a number.

If we multiply 5 by whatever is in the box, we can write it like [tex]5*\square[/tex]

Then let's say we fill that box with the value 7. We would then have [tex]5*\boxed{7}[/tex]

If we put 3 in the box instead we'll have [tex]5*\boxed{3}[/tex] and so on

Unfortunately the box symbol isn't something we could easily write on a keyboard, so we go with x instead to make life simpler.

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

So far we've shown that "5 times a number" turns into 5*x or just 5x.

From here we subtract off 3 to get 5x-3 as the final answer. Whatever the result of 5x is, we subtract off 3.

The answer would not be 3-5x since this means "subtract 5x from 3". The order of subtraction matters. In general, A-B is not the same as B-A.

Answer:  C) Segment PR

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

Explanation:

Let's find the missing angle R. We'll use the idea that all three angles of any triangle always add to 180

P+Q+R = 180

48+83+R = 180

131+R = 180

R = 180-131

R = 49

Here are the three angles of triangle PQR

The largest angle is Q = 83, so the opposite side PR is the longest side. The longest side of a triangle is always opposite the largest angle.

Answer:

1/3 < 2/5 < 3/7 < 4/9

Step-by-step explanation:

:)

Answer: 9/16

18/32 simplified is 9/16

Answer:

9/16

4/8

2/4

Step-by-step explanation:

plz mark brainliest

Answer:

2

Step-by-step-

It would equal both the numbers combined