A school determined that there is about a 33% chance that a student will choose a salad over a grilled chicken sandwich for lunch. Which simulation could you use to answer questions about the type of lunch students will choose?

Answer: no solution

Step-by-step explanation: 4/5z - 1/5z = 3/5z

3/5z + 4 = 3/5z + 6

No solution

Answer:

[tex]$z=-\frac{48}{55} $[/tex]

It has one solution.

Step-by-step explanation:

[tex]$\frac{4}{5z}-\frac{1}{5z+4}=\frac{3}{5z+6} $[/tex]

Once we have fractions we already know the values when the equation is not true. I'm talking about division when the denominator is 0. It is undefined.

The values for [tex]z[/tex] are:

[tex]$0 ; -\frac{4}{5} \text{ and } -\frac{6}{5} $[/tex]

Now let's find [tex]z[/tex]. First, we have to find the least common multiplier:

In this case: [tex](5z+4)(5z+6)(5z)[/tex]

[tex]$\frac{4}{5z}-\frac{1}{5z+4}=\frac{3}{5z+6} $[/tex]

[tex]$\frac{4(5z+4)(5z+6)}{(5z+4)(5z+6)(5z)}-\frac{1(5z)(5z+6)}{(5z+4)(5z+6)(5z)}=\frac{3(5z)(5z+4)}{(5z+4)(5z+6)(5z)} $[/tex]

I will not proceed in the way above because it would take some time to type, instead, multiply [tex](5z+4)(5z+6)(5z)[/tex] both sides.

[tex]4(5z+4)(5z+6)-1(5z)(5z+6)=3(5z)(5z+4)[/tex]

[tex](20z+16)(5z+6)-(5z)(5z+6)=15z(5z+4)[/tex]

[tex]100z^2+200z+96-25z^2-30z=75z^2+60z[/tex]

[tex]200z+96-30z=60z[/tex]

[tex]200z-90z=-96[/tex]

[tex]110z=-96[/tex]

[tex]$z=-\frac{96}{110} $[/tex]

[tex]$z=-\frac{48}{55} $[/tex]

[tex]\frac{8}{25} = 0.32\\[/tex] when simplified into decimals.

This means that these two are equal. hope this helps!

8/25 is equal to 0.32

let me know if u need explanation

Answer:

The nth term of the geometric sequence is is 32805

Step-by-step explanation:

The nth term of a geometric sequence is given by

[tex]$ a_n = a_1 \cdot r^{n - 1} $[/tex]

Where [tex]a_1\\[/tex] is the first term and [tex]r[/tex] is the common ratio

We are given the fourth term of this sequence

[tex]a_4 = -135[/tex]

The common ratio is

[tex]r = -3[/tex]

Once we find the 1st term then we can find any other term.

[tex]a_4 = a_1 \cdot r^{4 - 1} \\\\a_4 = a_1 \cdot r^{3} \\\\-135 = a_1 \cdot (-3)^{3} \\\\-135 = a_1 \cdot (-27) \\\\a_1 = \frac{-135}{-27} \\\\a_1 = 5[/tex]

So the ninth term of this geometric sequence is

[tex]a_n = a_1 \cdot r^{n - 1} \\\\a_9 = a_1 \cdot r^{9 - 1} \\\\a_9 = a_1 \cdot r^{8} \\\\a_9 = 5 \cdot (-3)^{8} \\\\a_9 = 5 \cdot (6561) \\\\a_9 = 32805[/tex]

Therefore, the nth term of the geometric sequence is is 32805

Answer:

1/5

Step-by-step explanation:

F(x)=x^2

g(x)=1/(2x+3)

g(f(-1))=?

x=-1→f(-1)=(-1)^2→f(-1)=1

g(f(-1))=g(1)=1/[2(1)+3]=1/(2+3)→g(f(-1))=1/5

Answer:

Definitely A

Step-by-step explanation:

When multiplying you add exponents.

[tex]x^{4} (3x^{2} -2) = 3x^{7} -2x^{4} \\FOIL (3x^{7} -2x^{4})(4x^{2} +5x) = 12x^{9} +15x^{8} -8x^{6} -10x^{5}[/tex]

Answer:

A)

Step-by-step explanation:

1000% sure. Use foil method and add exponents together... Also on edge.

Answer:

[tex](\frac{4}{3} \pi 40.7^{3})/2[/tex]

[tex]\pi =3.14[/tex]

[tex](4*3.14*40.7^{3} )/3 = 282,261.5[/tex]

[tex](282,261.5)/2 = 141,130.7 in^{3}[/tex]

Step-by-step explanation:

1. Volume of sphere

[tex]V=\frac{4}{3} \pi r^{3}[/tex]

2. Volume of hemisphere

[tex]V=(\frac{4}{3} \pi r^{3} )/2[/tex]

The volume of hemisphere  is 1,41,130.7 cubic inch.

The words hemisphere and sphere can be separated into hemi, which denotes half, and sphere, which refers to the mathematical 3D shape. Consequently, a hemisphere is a 3D geometric object that is made up of half of a sphere, with one side being flat and the other being a bowl-like shape. It is created by precisely cutting a spherical along its diameter, leaving behind two identical hemispheres.

Given the radius of hemisphere  = 40.7 inches

to find the volume,

volume of hemisphere  = 2/3πr³

volume of hemisphere  = 2/3(3.14)(40.7)³

volume of hemisphere  = 2/3(3.14)(67419.143)

volume of hemisphere  = 1,41,130.7 cubic inch.

Hence the volume is 1,41,130.7 cubic inch.

Learn more about hemisphere;

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Answer:

180-88

92

Step-by-step explanation:

x=92

Answer:

I think its 92

Step-by-step explanation:

Supplementary angles always add up to 180

Answer: D

Step-by-step explanation:

For a student who did not study for the test you will still score 40 on the test by using you own  knowledge.

Answer:

1/4

Step-by-step explanation:

Each term is a fourth of the term before.

So, each term is the previous term multiplied by 1/4

Answer:

1/4

Step-by-step explanation:

Answer:

-x (2 x - 5) (3 x + 2)

Step-by-step explanation:

Factor the following:

-6 x^3 + 11 x^2 + 10 x

Factor -x out of -6 x^3 + 11 x^2 + 10 x:

-x (6 x^2 - 11 x - 10)

Factor the quadratic 6 x^2 - 11 x - 10. The coefficient of x^2 is 6 and the constant term is -10. The product of 6 and -10 is -60. The factors of -60 which sum to -11 are 4 and -15. So 6 x^2 - 11 x - 10 = 6 x^2 - 15 x + 4 x - 10 = 2 x (3 x + 2) - 5 (3 x + 2):

-x 2 x (3 x + 2) - 5 (3 x + 2)

Factor 3 x + 2 from 2 x (3 x + 2) - 5 (3 x + 2):

Answer:  -x (2 x - 5) (3 x + 2)

Answer:

The length WX is about 14 feet.

Step-by-step explanation:

This problem involves finding the adjacent side to a known acute angle in a right-angle triangle, therefore, the trigonometric function that we use is that of the tangent of the angle:

[tex]tan(\theta)=\frac{opposite}{adjacent} \\tan(31^o)=\frac{8.4}{x}\\x=\frac{8.4}{tan(31^o)}\\x=13.9799\\x \approx 14[/tex]

Therefore, the length WX is about 14 feet.

Answer:

x = 20

Step-by-step explanation:

→Add 6 to both sides:

[tex]\frac{1}{2} x-6=4[/tex]

[tex]\frac{1}{2} x=10[/tex]

→Multiply both sides by 2:

x = 20

Answer:

20%

Step-by-step explanation:

Divided the two which is 80% so the increase is 20% I'm not good at explaining

Answer:

150-120=30

30/120=0.25

0.25=25%

25% is correct

120 x 0.25 = 30

120+ 30 = 150 so 25% is correct

Step-by-step explanation:

Answer: The cost to buy all the paint he needs = [tex]\pounds \ 176.70\ .[/tex]

Step-by-step explanation:

Formula: Area of trapezium = [tex]\dfrac{1}{2}(a+b)h[/tex], where a and b are the parallel sides and h is the height.

From the given figure of trapezium, we have

a = 10 m

b = 16 m

h = 7.6 m

Then, area of trapezium floor = [tex]\dfrac{1}{2}(10+16)(7.6)=\dfrac{1}{2}(26)(7.6)=98.8\ m^2[/tex]

Also, 1 litre paint is required to paint and area of [tex]1.9\ m^2[/tex].

Then, the amount of paint required to paint [tex]98.8\ m^2[/tex] area = [tex](98.8\ m^2)\div(1.9\ m^2)[/tex]

[tex]= 52[/tex] litres

Since cost if 5 litres of paint = [tex]\pounds\ 16.99[/tex]

then cost of 1 liter paint = [tex]\pounds \dfrac{16.99}{ 5}=\pounds 3.398[/tex]

Then, cost of 52 litres of paint = [tex]52\times3.398=\pounds \ 176.696\approx\pounds\ 176.70[/tex]

Hence, the cost to buy all the paint he needs = [tex]\pounds \ 176.70\ .[/tex]

Answer:

D

Step-by-step explanation:

0.333... is rational because it can be lined up to the fraction 1/3.

Answer:

D.

Step-by-step explanation:

The definition of a rational number is a number that can be expressed as the ratio of two integers.

We cannot represent pi as a ratio of two integers, so it cannot be A. Apply the same definition and B and C are out.

We know that 0.333... = 1/3. This number can be represented as the ratio of two integers, so this is the correct answer.

I hope this helps!

The lateral surface area of the rectangular prism is: D. 240 cm²

The lateral surface area of rectangular prism =  2(l + w)h.

Given the following:

Plug in the values into the formula

Lateral surface area of the rectangular prism =  2(9 + 6)8

Lateral surface area of the rectangular prism =  240 cm²

Learn more about lateral surface area of rectangular prism on:

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Answer:

2.24

Step-by-step explanation:

[tex]\sqrt{5}[/tex] = 2.236067977...

Rounded to the nearest hundredth = 2.24

Answer: 2.24

Step-by-step explanation:

Use a calculator of some sort and find the square root of 5. Round to two decimal places after the whole number.

Answer:

Step-by-step explanation:

5.25x +6 =74.25

5.25x = 74.25 -6

5.25x =68.25

x = 68.25÷5.25

x = 13

Answer:

x=13

Step-by-step explanation:

1) Subtract 6 from both sides.

2) Divide by 5.25 on both sides to get x on its own.

[tex]5.25x+6=74.25\\5.25x+6-6=74.25-6\\5.25x=68.25\\\frac{5.25x}{5.25} = \frac{68.25}{5.25} \\x=13[/tex]

Answer:

D

Step-by-step explanation:

Answer:

Its trying to trick you, you dont need any fancy shmancy formula. If you see the 8 its trying to make you think of a formula but if there is a formula and you get it wrong then you get it wrong. Its easy the 8 is there but a circle has a radius no matter where you measure it. 8/2 = 4. Radius is 4 Diameter is 8

Answer:

5. corresponding sides -> Sides paired with one another in a  one-to-one correspondence between  figures.  

4. congruent figures -> If a one-to-one correspondence  between the parts of two figures is such  that the corresponding parts are equal,  then the figures are congruent.

2. included side -> The side of a triangle that is formed  by the common side of two angles.

1. one-to-one correspondence -> A situation for which each member  of a set, such as angles of a triangle, can  be paired with one and only one  member of another set.

6. included angle  -> The angle formed by two sides of a  triangle

3. corresponding angles -> Angles paired with one another in a  one-to-one correspondence between   geometric figures.

Answer:

2.5

Step-by-step explanation:

2.5(4k+2) =12k

2.5*6k=12k

Answer: 2.5

Step-by-step explanation:

Step-by-step explanation:

First, I would work out the missing angle:

25° + 90° (right-angle) = 115°

180° - 115° = 65°

The missing angle is 65°.

-I'm too dumb and don't remember how to work out the rest but I hope I helped a bit

Answer:

Side AB = 4.41

Answer:

[tex]3x^2-13x+4[/tex]

Step-by-step explanation:

[tex](x - 4)(3x - 1)[/tex]

[tex]3x^2-1x-12x+4[/tex]

[tex]3x^2-13x+4[/tex]

Answer:

43

Step-by-step explanation:

13+14+16=43

Answer:

43

Step-by-step explanation:

Answer:

[tex]a^2[/tex]

Step-by-step explanation:

[tex]\sqrt[m]{a^{2m}}[/tex]

[tex]a^{2m \times 1/m}[/tex]

[tex]a^{\frac{2m}{m}}[/tex]

[tex]a^2[/tex]

Answer:

The one with the fraction is the answer.

Step-by-step explanation:

Quotient means dividing, so the answer has to have a fraction sign in it. We can't see the answer options properly, so whatever one with the fraction is the one you should choose. I think it's the third option that you wrote.

Hope this helped!

Answer:

It’s d

Step-by-step explanation: