Solve the equation. 20x-7=5+16x

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

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.

Answer:

35 they are right

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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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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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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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.

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:

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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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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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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