A box of 120 crayons contains variations of three colors: blue, red, and purple. The ratio of blue crayons to red crayons is 11:2, and the ratio of the number of red crayons to purple crayons is 2:7. If all of the purple crayons were removed, how many crayons would be left in the box?

Answer:

Is this correct

Answer:

1. 47 correct, 0 wrong and 3 unanswered

2. 48 correct, 1 wrong and 1 unanswered

Step-by-step explanation:

Given;

Total number of questions = 50

For correct answers = 2

For wrong answers = -2

Unanswered questions = 0

Yash scored 94 marks

Let c, w and u represent the number of correct, wrong and unanswered questions

2×c - 2 × w + 0×u = 94

2c -2w = 94 .....1

And;

c + w + u = 50 .....2

We have 2 equations and 3 unknowns

By observing the problem, we can see two possible solutions;

Case 1: Assuming he did not miss (get wrong) any answer;

He needs to score 47 answers right;

47 × 2 = 94

Then;

c = 47 w = 0 and u = 50 - (47+0) = 3

47 correct, 0 wrong and 3 unanswered

Case 2: Assuming he got one answer wrong;

He would need to score one more answer right compared to the first case;

(47+1) × 2 - 1 × 2 = 96 - 2 = 94

c = 47+1 = 48

w = 1

u = 50 - (48+1) = 1

So he need to score 48 correct answers, 1 wrong answer and 1 unanswered.

Answer:

Step-by-step explanation:

<2=180-(1+B)

<3=180-(4+D)

trg ACB=trgACD(<2=<3, AC =AC, <1=<4

ASA

Answer:E

Step-by-step explanation:

Answer:

C. 3√3

Step-by-step explanation:

Remember your 30-60-90 triangle rules.

They give you 3 as a side in the 30-60-90. That side length 3 will be your x. The side opposite of it is x√3. Simply plug in 3 as it is x and you should get 3√3 as your answer.

Answer:

C

Step-by-step explanation:

In all 30 60 90 triangles, the side opposite the 60 degree angle will be the short leg times [tex]\sqrt{3}[/tex]

So, the length of that side in this triangle will be 3[tex]\sqrt{3}[/tex]

Answer:

The equation are:

1) h + s = 20

2) 4h = 1s

Step-by-step explanation:

Number of hats Elliott made = h

Number of scarfs Elliott made = s

total number of items Elliott made = 20

h + s = 20 ..[1]

1 hat uses 0.2 kilograms of yarn

1 hat = 0.2 kg of yarn

Then h hats will use = 0.2h kg of yarn

1 scarf uses 0.1 kilograms of yarn

1 scarf= 0.1 kg of yarn

Then s scarfs will use = 0.1s kg of yarn

She wants to twice as much as yarn for scarves for hats:

2 × (0.2h kg of yarn) = 0.1s kg of yarn

0.4h = 0.1s

4h = 1s...[2]

The equation are:

1) h + s = 20

2) 4h = 1s

Answer:C

0.1s=2•0.2h

H+S=30

Step-by-step explanation: I did it on khan

Answer:

30⁰ , 60⁰ , 90⁰

Step-by-step explanation:

Let the angles x , 2x , 3x

By angle sum property:

x + 2x + 3x = 180⁰

6x = 180⁰

x = 30⁰

Angles are : 30⁰ , 60⁰ , 90⁰

Answer:

30°, 60°, 90°

Step-by-step explanation:

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

Sum the parts of the ratio, 1 + 2 + 3 = 6 parts

Divide to find the value of one part of the ratio

180° ÷ 6 = 30° ← value of 1 part of the ratio, thus

2 parts = 2 × 30° = 60°

3 parts = 3 × 30° = 90°

Thus angles are 30°, 60° and 90°

Answer:

AC = 10

Step-by-step explanation:

AC+ BC =AB

If C is the midpoint then AC = BC

AC + AC = 20

2 AC = 20

Divide by 2

2AC /2 = 20/2

AC = 10

Answer:

AC=10

Step-by-step explanation:

If a-------c-------b and AB=20 and C is the midpoint, then half of 20 would be 10.

Answer: They need to use 1,638 square meters of flooring.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given, and  apply the next formula:

Area of a rectangle: length x width

Replacing with the values given and solving for the area (A):

A = 42 x 39 = 1,638 m2

They need to use 1,638 square meters of flooring.

Feel free to ask for more if needed or if you did not understand something.

Answer:

C. the average total cost for the first month of a gym membership

Step-by-step explanation:

x=1 is for month 1,

the value of y includes 1-month fee and one off payment, so this is the average total for the first month of membership

answer: $1,012.50

Step-by-step explanation:

12.5 ÷ 100 = 0.125

0.125 × 800 = 100

800 + 100= 900 ( half-yearly interest)

0.125 × 900 = 112.5

900 + 112.5 = $1,012.50 ( end of first year interest)

Answer:

A

Step-by-step explanation:

Answer:

is 8 porque s mi nose maje

Answer:

Domain: ∞

Range: y ≥ -4

Step-by-step explanation:

The domain of any quadratic function is always infinite or ∞. The range ends where the minimum value is or the maximum value depending on which way the parabola is facing- upward or downward.

Answer:

[tex]56.55[/tex] [tex]in[/tex]

[tex]254.47[/tex] [tex]in^{2}[/tex]

Step-by-step explanation:

[tex]C=\pi d[/tex]

[tex]C=18\pi[/tex]

[tex]C=56.54866776[/tex]

[tex]A=\pi r^{2}[/tex]

[tex]A=\pi(9)^{2}[/tex]

[tex]A=81\pi[/tex]

[tex]A=254.4690049[/tex]

37.68 is the area of the Pac-Man

Answer:

k = 8

Step-by-step explanation:

You are solving for the variable, k. Note the equal sign, what you do to one side, you do to the other.

Do the opposite of PEMDAS. PEMDAS =

Parenthesis

Exponents

Multiplications

Division

Addition

Subtraction

First, add 62 from both sides:

8k - 62 = 2

8k - 62 (+62) = 2 (+62)

8k = 2 + 62

8k = 64

Next, divide 8 from both sides:

(8k)/8 = (64)/8

k = 64/8

k = 8

8 is your answer for k.

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Answer:

Point Y (4, -1) lies on the circle.

Step-by-step explanation:

Distance = √[(x2-x1)² + (y2 - y1)²] = √[(4-1)² + (-1-(-5))²] = √[3² + 4²]= √25 = 5

Point Y (4, -1) lies on the circle, because the distance from the center to this point equals radius of the circle.

Answer:

On the circle

Step-by-step explanation:

Answer:

The sum of the arithmetic series

[tex]S_{n} = \frac{n}{2} (2 a + (n-1) d)[/tex]

Step-by-step explanation:

Explanation

Let  a , a+d , a+2 d , ..........a+(n-1)d +....... is an arithmetic sequence

The sum of the sequence is called arithmetic series

The [tex]n^{th}[/tex] term of the sequence

[tex]t_{n} = a + (n-1) d[/tex]

The sum of the arithmetic series

[tex]S_{n} = \frac{n}{2} (2 a + (n-1) d)[/tex]

Here 'a' is the first term of the sequence

and 'd' be the difference between two values

sum of first term

put n=1  ⇒  [tex]S_{1} = a[/tex]

Put n =2 ⇒ [tex]S_{2} = \frac{2}{2} (2 a + (2-1)d)[/tex]

                  [tex]S_{2} = 2 a + d[/tex]

......and so on

The sum of the  arithmetic series

[tex]S_{n} = \frac{n}{2} (2 a + (n-1) d)[/tex]

Answer:

They would receive $22,500 which is 75% of her income

Step-by-step explanation:

Here, we want to know how much the beneficiaries of a life insurance scheme would receive if their principal die.

From the question, we are told that they have the right to claim 75% of her income

From the question also, we were told that what she earns per annum is $30,000

Now, since they have the right to claim 75%, the amount they can claim out of the said income will be;

75/100 * $30,000 = $22,500

Answer:225,000

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The probability that Laura will go first and Andy second is 1/210

Answer:

Jenny needs £8 extra to buy the tiles.

Step-by-step explanation:

Jenny's kitchen floor is in the form of trapezoid.

Area of a trapezoid = [tex]\frac{1}{2}(b_1+b_2)h[/tex]

                                [tex]=\frac{1}{2}(2.5+1.5)14[/tex]

                               = 28 meter²

One pack of tiles covers the area = 3 meter²

She needs the number of packs of tiles =  [tex]\frac{\text{total area }}{\text{area covered by one pack of tile}}[/tex]

[tex]=\frac{28}{3}[/tex]

= 9.33

Therefore, she has to purchase 10 packs of tiles.

Since the price of one pack of tiles = £14.40

Price of 10 packs of tiles = 14.40 × 10

                                                = £144

Price after using discount card of 25% = 144 -(25% of 144)

                                                                = 144 - (0.25 × 144)

                                                                = 144 - 36

                                                                = £108

Jenny has £100, so she needs £8 extra to buy the tiles.

Answer:

42 degrees.

Step-by-step explanation:

[tex]\angle BOC+\angle AOB=90^\circ $(Complementary Angles)\\6x - 6^\circ+5x + 8^\circ=90^\circ\\6x+5x-6^\circ+ 8^\circ=90^\circ\\11x+ 2^\circ=90^\circ\\11x=90^\circ-2^\circ\\11x=88^\circ\\$Divide both sides by 11\\x=8^\circ\\$Therefore:\\m\angle BOC=6x - 6^\circ\\=6(8) - 6^\circ\\=48-6\\=42^\circ[/tex]

The measure of angle BOC is 42 degrees.

Answer:

BOC = 42º

Step-by-step explanation:

Angle BOC is equal to 42 degrees, due to these steps -

1. Create the equation which will result to be -

6x - 6 + 5x + 8 = 90

2. Simplify by adding variables and numbers together -

11x + 2 = 90

3. Subtract 2 from both sides to get -

11x = 88

4. Divide by 11 on both sides to get-

x = 8

5. Substitute x in angle BOC as 8 to get this equation -

6(8) - 6

6. Solve

48 - 6 =

42º

Your final answer for angle BOC is 42º!

Answer:

ES IGUAL A 15

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

So we start solving like:

x+1x=3

(x+1x)3=33

x3+3.x2.1x+3.x.1x2+1x3=27

(x3+1x3)+3.x2.1x+3.x.1x2=27

x3+1x3+(3x+3x)=27

x3+1x3+3(x+1x)=27

x3+1x3+3×3=27

x3+1x3+9=27

x3+1x3=18  

Therefore the answer is 18

Answer:

infinite solutions

Step-by-step explanation:

Given the 2 equations

y = 6x - 3 → (1)

12x - 2y - 6 = 0 → (2)

Substitute y = 6x - 3 into (2)

12x - 2(6x - 3) - 6 = 0 ← distribute and simplify left side

12x - 12x + 6 - 6 = 0

0 = 0

This solution 0 = 0 indicates that any value of  x is a solution

Thus there are an infinite number of solutions to the system

Answer:

c find the value

Step-by-step explanation:

plz workout

Answer:

5:4

Step-by-step explanation:

In Mrs. Nathan's class,  the ratio of girls to boys is 5:4.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given, In Mrs. Nathan's class, there are 16 boys and 20 girls.

the ratio of girls to boys = 20/16

the ratio of girls to boys = 5/4

Therefore, the ratio of girls to boys in Mrs. Nathan's class is 5: 4.

Learn more about ratios here:

https://brainly.com/question/13419413

#SPJ1

Answer:

70°

Step-by-step explanation:

∠A =112°,

Exterior angle to angle B is 2x, therefore ∠B = 180 -2x (angle on straight line)

Exterior angle to angle C is 2x + 12, therefore ∠C = 180 -(2x +12) (angle on straight line) = 180 - 12 -2x = 168 - 2x

∠A + ∠B + ∠C = 180 (sum o angles in a triangle)

112 + 180 - 2x + 168 - 2x = 180

460 - 4x = 180

4x = 460 - 180 = 280

x = 280/4 = 70

x = 70°

Answer:

70º

Step-by-step explanation:

i took the test