In one week a gas station sells 1,250 gallons of gas. On average, how many quarts did they sell each day during that week? Round your answer to the nearest hundredth. Hint: there are 4 quarts in a gallon.

Answer:

19.SA of a cylinder = (2 * π * r²) + (2 * π * r * h)SA = (2 * π * 5²) + (2 * π * 5 * 20)SA = (2 * π * 25) + (2 * π * 5 * 20)SA = (2 * π * 25) + (2 * π * 5 * 20)SA = (157) + (628)SA = 785The answer is A. 785 square meters.20.SA of a rectangle = 2(wl + hl + hw)w = 15l = 4h = 14SA = 2(15*4 + 14*4 + 14*15)SA = 2(60 + 56 + 210)SA = 2(326)SA = 652The answer is B. 652 square centimeters.

Step-by-step explanation: I did the math and this is what I got.

The given equation simplifies to -2n + 33 = -2n + 33, where both sides are equal, hence 'n' can be any real number. Thus the equation has infinitely many solutions.

This question pertains to solving a linear equation. The given equation is 3(n+11)-5n=-2(n-12)+9.

Let's solve this step by step:

This indicates that we have infinitely many solutions because any value of 'n' satisfies this equation.

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The ratio of trumpet players to tuba players at the high school is 5:2. There are 2 trumpet players for every 5 tuba players.

The ratio of trumpet players to tuba players at a high school is 5:2. This means that for every 5 trumpet players, there are 2 tuba players. Therefore, option C is correct, which states that there are 2 trumpet players for every 5 tuba players.

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24 +24 = 48

11 + 11 = 22

48 +22 = 70

 the perimeter cannot be 60 with dimensions of 24 & 11

Answer:

x intercepts are (4,0) and (-9,0)

Step-by-step explanation:

The given function graphed f(x) = x² + 5x -36 and we have to find the x-intercepts.

Since x intercepts means points on x-axis which will  have y-coordinates as zero.

so f(x) = x² + 5x - 36 = 0

x² + 9x - 4x - 36 = 0

x(x+9) - 4(x-9) = 0

(x-4)=0 ⇒ x = 4

or ( x+9) = 0 ⇒ x = (-9)

Therefore, x intercepts are (4,0) and (-9,0)

Considering the definition of function quadratic and roots, the roots or x-intercepts of the graph of the function f(x) = x² + 5x − 36 are 4 and -9.

The function f(x) = ax²  + bx + c

with a, b, c real numbers and a ≠ 0, is a function quadratic expressed in its polynomial form (It is so called because the function is expressed by a polynomial).

The roots are those values ​​of x for which the expression is 0, so it graphically cuts the x-axis.

This can be solved by:

[tex]x1, x2=\frac{-b+-\sqrt{b^{2} -4ac} }{2a}[/tex]

In this case you know that a=1, b= 5 and c= -36. So the roots can be determined as:

[tex]x1=\frac{-5+\sqrt{5^{2} -4x1x(-36)} }{2x1}[/tex]

[tex]x1=\frac{-5+\sqrt{25 +144} }{2}[/tex]

[tex]x1=\frac{-5+\sqrt{169} }{2}[/tex]

[tex]x1=\frac{-5+13}{2}[/tex]

[tex]x1=\frac{8}{2}[/tex]

x1= 4

and

[tex]x2=\frac{-5-\sqrt{5^{2} -4x1x(-36)} }{2x1}[/tex]

[tex]x2=\frac{-5-\sqrt{25 +144} }{2}[/tex]

[tex]x2=\frac{-5-\sqrt{169} }{2}[/tex]

[tex]x2=\frac{-5-13 }{2}[/tex]

[tex]x2=\frac{-18 }{2}[/tex]

x2= -9

Finally, the roots or x-intercepts of the graph of the function f(x) = x² + 5x − 36 are 4 and -9.

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Let's check each of the cases to determine the solution of the problem

case A) we have

[tex]x+10=-5[/tex]

Substitute the value of [tex]x=-5[/tex] in the equation

[tex](-5)+10=-5[/tex]

[tex]5=-5[/tex] ------> the equation is not true

therefore

The value of [tex]x=-5[/tex] is not a solution of the equation

case B) we have

[tex]-x^{2} +50=25[/tex]

Substitute the value of [tex]x=-5[/tex] in the equation

[tex]-(-5)^{2} +50=25[/tex]

[tex]-(25) +50=25[/tex]

[tex]25=25[/tex] ------> the equation is true

therefore

The value of [tex]x=-5[/tex] is a solution of the equation [tex]-x^{2} +50=25[/tex]

case C) we have

[tex]\left|2x\right|=10[/tex]

Substitute the value of [tex]x=-5[/tex] in the equation

[tex]\left|2(-5)\right|=10[/tex]

[tex]\left|-10\right|=10[/tex]

[tex]10=10[/tex] -----> the equation is true

therefore

The value of [tex]x=-5[/tex] is a solution of the equation [tex]\left|2x\right|=10[/tex]

case D) we have

[tex]x < 0[/tex]

Substitute the value of [tex]x=-5[/tex] in the inequality

[tex]-5 < 0[/tex] --------> the inequality is true

therefore

The value of [tex]x=-5[/tex] is a solution of the inequality [tex]x < 0[/tex]

case E) we have

[tex]2x <10[/tex]

Substitute the value of [tex]x=-5[/tex] in the inequality

[tex]2*(-5) < 10[/tex]

[tex]-10 < 10[/tex] --------> the inequality is true

therefore

The value of [tex]x=-5[/tex] is a solution of the inequality [tex]2x <10[/tex]

the answer is

[tex]-x^{2} +50=25[/tex]

[tex]\left|2x\right|=10[/tex]

[tex]x < 0[/tex]

[tex]2x <10[/tex]

Answer:

Step-by-step explanation:

By definition, the volume of a cone is given by:

[tex] V = (\frac{1}{3}) * (\pi) * (r ^ 2) * (h)
[/tex]

Where,

r: radius of the circular base

h: height of the cone

Since we have 6 conical pots, then the total volume is:

[tex]Vt=6V[/tex]

[tex] Vt = 6 * (\frac{1}{3}) * (\pi) * (r ^ 2) * (h)
[/tex]

Substituting values we have:

[tex] Vt = 6 * (\frac{1}{3}) * (3.14) * (3 ^ 2) * (8)

Vt = 452.16 cm ^ 3
[/tex]

Rounding to the nearest cubic centimeter:

[tex] Vt = 452 cm ^ 3
[/tex]

Answer:

are needed 452 cm^3 of soil to plant the full tray

The cubic centimeters of soil are needed to plant the full tray is approximately 452cubic in

The formula for calculating the volume of a cone is expressed as:

V = 1/3πr²h

r is the radius  = 3cm

h is the height = 8cm

Substitute

V =  1/3 * 3.14 * 3^2 * 8
V = 75.36 cubic cm

Since the gardener uses a tray of 6 conical pots to plant seeds, the total volume will be expressed as:

T = 6(75.36)
T = 452cubic in

Hence the cubic centimeters of soil are needed to plant the full tray is approximately 452cubic in

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Answer:

35 they are right

Step-by-step explanation:

The value of P(0.6 ≤ z ≤ 2.12) is, 26%

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

To find the value of P(0.6 ≤ z ≤ 2.12).

Now, We can simplify as;

P(0.6 ≤ z ≤ 2.12) = P( z ≤ 2.12) - P(z < 0.6)

So, From the Cumulative Standardized Normal Distribution table,

P( z ≤ 2.12) = 0.9830

P(z < 0.6) = 0.7257

Hence, We get;

P(0.6 ≤ z ≤ 2.12) = P( z ≤ 2.12) - P(z < 0.6)

P(0.6 ≤ z ≤ 2.12) = 0.9830 - 0.7257

P(0.6 ≤ z ≤ 2.12) = 0.2573

P(0.6 ≤ z ≤ 2.12) = 0.26

P(0.6 ≤ z ≤ 2.12) = 26%

Thus, The value of P(0.6 ≤ z ≤ 2.12) is, 26%

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x-30 =14-3x

subtract 1 x from each side

-30 =14-2x

subtract 14 from each side

-44 = 2x

x=-44/2 = -22

x=-22

check:-22-30 = -52

14-3(-22) = 14-66 =-52

 both equations equal

X = -22

To solve the proportion v/8 = 13/11, cross-multiply and solve for v. The value of v is approximately 9.5.

To solve the proportion v/8 = 13/11, we can cross-multiply and solve for v. Cross-multiplying gives us v * 11 = 8 * 13. Simplifying, we have 11v = 104. Dividing both sides by 11, we find that v = 104/11. Rounding to the nearest tenth, v ~ 9.5.

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Answer:

As the number of cookies eaten increases, the calories consumed increases.

Step-by-step explanation:

As we can see in the graphic with more cookies we have more calories. Because for 1 cookie we have 50 calories and for 5 cookies we have 200 calories.

Then as the number of cookies increases, the calories consumed increases.