There are 30 students in Mrs. Bristow‘s class. 20% of the students receive a gold ticket on the last quiz. How many students receive a golden ticket?

Answer:

x = 9

Step-by-step explanation:

1: Make an equation

[tex]180 = 54 + 6x + 8 + 180 - (11x + 17)[/tex]

2: factor the -1

[tex]180 = 54 + 6x + 8 + 180 -11x - 17[/tex]

2: move x to one side

[tex]11x - 6x = 54 + 8 + 180 - 17 - 180[/tex]

3: simplify

[tex]5x = 45[/tex]

4: solve for x

[tex]x=9[/tex]

Answer:

The sales tax is equal to 5.6%

Step-by-step explanation:

To solve first we have to subtract the item's cost before sales tax from the total due. 91.08 - 86.25 = 4.83.

Next we take the amount we payed as tax and divide it by the pre-tax price. 4.83/86.25 = 0.056

Lastly we take 0.056 and convert it to a percentage. This can be accomplished by moving the decimal sign to 2 times to the left or multiplying the tax rate by 100.

The sales tax percentage is equal to 5.6%

Hope this helps you out :)

Answer:

168.75

Step-by-step explanation:

135.00 + 25% is 168.75

168.75 - 25% is 135.00

Approximate difference between √12 and √15 on plotted number line is 0.4. Option B is the correct option.

The number line is the way of representation of number and digits in an arranged form to understand the data batter.

The number line going from 0 to 4. √12 is to the right of 3, and √15 is to the right of √12. Therefore, the arranged value on the number line appears as,

3,   √12,   √15

In the number line given, the value of √12 is near 3.4 and the value of √15 is near 3.8. The difference between both the values is,

[tex]d=3.8-3.4\\d=0.4[/tex]

The approximate difference in tenths between √12 and √15 on the plotted number line is 0.4. Option B is the correct option.

Learn more about the number line here;

https://brainly.com/question/24644930

Answer:

its c 28

Step-by-step explanation:

You already have the answer. It is "One type of proof is a two-column proof. It contains statements and reasons in columns. Another type is a paragraph proof, in which statements and reasons are written in words. A third type is a flowchart proof, which uses a diagram to show the steps of a proof." which looks correct to me.

First

angle in front of c is 30°, so hypotenuse is equal to 2c

it's right triangle, so let's use Pythagorean theorem\

[tex](2c)^2=c^2+4^2\\4c^2=c^2+16\\3c^2=16\\\\c^2=\dfrac{16}{3} \\\\c=\dfrac{4}{\sqrt{3} } =\dfrac{4\sqrt{3} }{3 }[/tex]

Second

b - the base of the triangle, angles at the base are equal ⇒ cathets are equal

it's right triangle, so let's use Pythagorean theorem

[tex]b^2=7^2+7^2\\b^2=49+49\\b=\sqrt{2\times49} =7\sqrt{2}[/tex]

Answer:

∠ 1 = 109° , ∠ 2 = 29° , ∠ 3 = 71°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , then

∠ 1 + 35° + 36° = 180°

∠ 1 + 71° = 180° ( subtract 71° from both sides )

∠ 1 = 109°

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

∠ RVU and ∠ 1 are adjacent angles on a straight line and sum to 180° , then

∠ RVU + ∠ 1 = 180°

∠ RVU + 109° = 180° ( subtract 109° from both sides )

∠ RVU = 71°

In Δ RVU

∠ 2 + 80° + 71° = 180° ( sum of angles in triangle )

∠ 2 + 151° = 180° ( subtract 151° from both sides )

∠ 2 = 29°

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

∠ 3 and ∠ RVU are vertically opposite angles and are congruent , then

∠ 3 = 71°

Δ UVT has: ∠V₁ = 180⁰ - ∠TUV - ∠VTU = 180⁰ - 35⁰ - 36⁰ = 109⁰

We have: ∠RVU = ∠V₃ = 180⁰ - ∠V₁ = 180⁰ - 109⁰ = 71⁰

ΔRVU has: ∠U₂ = 180⁰ - ∠URV - ∠ RVU = 180⁰ - 80⁰ - 71⁰ = 29⁰

Answer:

Ok done. Thank to me :>

[tex] \tt \to \dfrac{96}{8} [/tex]

[tex] \\ \\ [/tex]

[tex] \tt \to \: 12 \: stickers[/tex]

Verify:-

12 × 8 = 96

hope it helped u!

Answer:

96/8

I promise you that it os

Answer:

x^2 - 1 = 0

3x^2 - 15x = 0

x^2 - 3x = 0

Step-by-step explanation:

Sorry if I am wrong.

Answer:

b = 0.35 ; c = 2.03

Step-by-step explanation:

tan = opposite/hypotenuse

Therefore, tan (10) = b/2

b = 2 tan (10) = about 0.35

Use the Pythagorean theorem to find that c = 2.03

Answer:

Do you understand?

Step-by-step explanation:

you gained 23 (14+9)

and lost 7 yards(23-7=16)

so you will still have gained 16yds in total

16 yards was the overall gain.

Answer:

Use your protractor to draw the lines

Step-by-step explanation:

You worked out the angles, so using the centre point as the middle and the line underneath France as your starter line, do 108° sector for Spain, then a 90° for Greece and a 12° for Others

Answer:

y=x-2

Step-by-step explanation:

set up in y1-y2/x1-x2

2 - (-2)/4 - 0

4/4 = 1

so x=1 and the y intercept is -2

so the answer is C

Answer:

CEFA

Step-by-step explanation:

1. [tex]p=2(2x)+2(3x+2)=4x+6x+4=10x+4[/tex]

2. [tex]p=2(x)+2(4x+1)=2x+8x+2=10x+2[/tex]

3. [tex]p=2(7)+2(x+5)=14+2x+10=2x+24[/tex]

4. [tex]p=2(5)+2(4x-3)=10+8x-6=8x+4[/tex]

Hope this helps

Answer:

15 cm²

Step-by-step explanation:

To find the volume of a prism you multiply the area of the end face (pentagon in this example) by the length (9 cm). Here you would reverse that and divide the volume by the length to find the area. 135/9 is 15 so the area of the pentagon is 15 cm².

In equation form would be:

V=A×L    [V=volume   A=area   L=length]

So if you do inverse operations you would divide the volume by the length to get the area.

V/L=A

Answer:

See answer below

Step-by-step explanation:

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

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

[tex]V = \frac{4}{3}\pi (8)[/tex]

[tex]V = \frac{4}{3}(8)\pi[/tex]

[tex]V =\frac{32}{3}\pi[/tex]     [tex]\pi =3.14[/tex]

[tex]V = \frac{32}{3}(3.14)[/tex]

[tex]V = 33.493[/tex]

V≈ 33.49        

Using π on the calculator

[tex]V = \frac{32}{3} \pi[/tex]

[tex]V = 33.510[/tex]

V ≈ 33.51

Answer:

is there any others?

Step-by-step explanation:

The cards that should be chosen by Claudia from the integers in order to make the greatest product will be 0 and 3.

From the complete question, it should noted that the number on the cards are -3, -2, 3, and 0.

In this case, she needs the card that will give her the greatest product. Therefore, the cards that should be chosen will be 0 and 3 which gives 0 unlike others that will give a negative value.

Learn more about integers on:

https://brainly.com/question/17695139

Answer:

(3x+2) + (2x-2) = 2*15

....

Answer:

1 × 24 = 24          1, 24

2 × 12 = 24          2, 12

3 × 8 = 24          3, 8

4 × 6 = 24          4, 6

6 × 4 = 24         6, 4

8 × 3 = 24         8, 3

12 × 2 = 24        12, 2

24 × 1 = 24        24,1

Step-by-step explanation:

Hi!

I can help you with joy!

Remember, the product of means we multiply 2 numbers.

There are lots of ways we can write 24 as a product of 2 factors:

1×24

2×12

3×8

4×6

And the other way around as well:

6×4

8×3

12×2

24×1

Hope it helps!

Enjoy your day!

~Misty~

Answer:

The input x = 1 has many outputs.

The graph is a vertical line.

Step-by-step explanation:

Hi there!

A function is defined as a relation that only gives one output for every given input. For every x-value, there is only one y-value.

Because the x-value of 1 gives us an infinite number of y-values, this is therefore not a function.

More generally, no vertical line is a function for this reason.

I hope this helps!

Answer:

1. 7x + 2 3/5

2. 2x-6.3

3. 27t + 36b

4. 3.5a - 9.1p

5. 8(x+7)

6. 3(x+19)

7.  y= -8.9

8.  n = -18

Step-by-step explanation:

1. combine like terms

2. Keep change change then combine like terms

3. distribute

4. distribute

5. have 8 in common

6. have 3 in common

7. subtract 1.6 from -7.3

8. multiply both sides by -2/3

Using the normal distribution, it is found that 59.09% of students scored above 75 points.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The proportion of students who scored above 75 points is 1 subtracted by the p-value of Z when X = 75, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{75 - 76.4}{6.1}[/tex]

[tex]Z = -0.23[/tex]

[tex]Z = -0.23[/tex] has a p-value of 0.4091.

1 - 0.4091 = 0.5909

0.5909 = 59.09% of students scored above 75 points.

You can learn more about the normal distribution at https://brainly.com/question/24663213

Answer:

They have already traveled 20.25 miles.

Step-by-step explanation:

To find out how far they've already traveled, we need to subtract the length of the road trip and the distance until their final destination.

32.75-12.5=20.25

Answer:20.25

Step-by-step explanation:

just subtract the length of the road trip and the distance to their final destination.

Answer:

See below

Step-by-step explanation:

Add 5 to each preceding number

               [tex]a_{n}[/tex] = ([tex]a_{n-1}[/tex])+5

1 9  9

2  14   [9+5]

3  19   [14+5]

4  24  [19+5]

5  29  [24+5]

6 34 34  [29+5]

Answer:

75°

Step-by-step explanation:

1:2:3

so there are a total of 6 parts. Then, each part would be:

=) 150÷6= 25

The largest angle is 3 parts. so, if 1 part is 25, 3 parts is 25×3= 75

The largest angle is is 75°

Hope this helps!

Answer:

$ 11699.69

Step-by-step explanation:

Step-by-step explanation:

the altitude makes a right angle at hypotenuse

cd^2+ ad^2 = ac^2

36+ (h/5)^2 = ac^2

ad/ab = 1/5; ad/h = 1/5; ad=h/5

similarly

bd^2+cd^2 = bc^2

(4/5)^2+ 36 = bc^2

ac^2+bc^2 = ab^2

36+h^2/25+ 16/25h^2+36 = h^2

h= 15

bd/ab = 4/5

bd= .8*15=12

Answer:

In year 6 monthly rent would cost you $1650 and it would cost $19,800 for the whole year of year 6

Step-by-step explanation:

1200x12=14,400 = year 1

1290x12=15,480=year 2

1380x12=16,560=year 3

1470x12=17,640=year 4

1560x12=18,720=year 5

1650x12=19,800=year 6

The monthly rent during the 6th year of apartment is A = $ 1,650

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

After each year, the rent goes up by $90, so in the second year the rent would be $1200 + $90 = $1290 per month, in the third year it would be $1290 + $90 = $1380 per month, and so on

On simplifying the equation , we get

Therefore, during the 6th year of living in the apartment, the monthly rent would be:

A = $1200 + ($90 x 5)

A = $1200 + $450

A = $ 1,650

Hence , the monthly rent is A = $ 1,650

To learn more about equations click :

https://brainly.com/question/19297665

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