How can you solve a system of two equations or inequalities in which one is linear and one is quadratic?

Answer:

Green is 0.3, Yellow is 0.1

There are 12 green pins in the bag

Step-by-step explanation:

The probability is the ratio between the possible outcomes over the total outcomes

∵ A bag contains some green, yellow, purple and grey pins

∵ The probability of picking a purple pin P(purple) = 0.35

∵ The probability of picking a grey pin P(grey) = 0.25

→ The total of all possible outcomes is 1

∴ The sum of the probability of green and yellow pins = 1 - 0.35 - 0.25

∴ The sum of the probability of green and yellow pins = 0.4

∴ P(green) + P(yellow) = 0.4 ⇒ (1)

∵ The probability of picking a green pin is 3 times the probability

   of picking a yellow pin

∴ P(green) = 3 P(yellow) ⇒ (2)

→ Substitute (2) in (1)

∴ 3 P(yellow) + P(yellow) = 0.4

∴ 4 P(yellow) = 0.4

→ Divide both sides by 4

∴ P(yellow) = 0.1

∴ The probability of picking a yellow pin is 0.1

→ Substitute P(yellow) in (20 by 0.1

∴ P(green) = 3(0.1)

∴ P(green) = 0.3

∴ The probability of picking a green pin is 0.3

∴ Green = 0.3, Yellow = 0.1

∵ There are 14 purple pins in the bag

∵ P(purple) = 0.35

∴ 0.35 of purple pins = 14

→ To find the total number of pins in the bag divide 14 by 0.35

∴ The total number of pins = 14 ÷ 0.35

∴ The total number of pins = 40 pins

∵ P(green) = 0.3

∴ The number of green pins = 0.3 × 40

∴ The number of green pins = 12 pins

∴ There are 12 green pins in the bag

Answer:

What is the difference? Express the answer in scientific notation.

(4.34 times 10 Superscript negative 8 Baseline) minus (3.8 times 10 Superscript negative 8)

0.54 times 10 Superscript negative 16

5.4 times 10 Superscript negative 9

0.54 times 10 Superscript negative 8

5.4 times 10 Superscript negative 7

Step-by-step explanation:

The answer is B

Step-by-step explanation: I just took the test

Answer:

45.84

Step-by-step explanation:

Answer: 45.835 rounded to the nearest hundredth is 45.84.

Answer:

x = 15

Step-by-step explanation:

subtract 10 from both sides: x/3 = 5

multiply both sides by 3: x = 15

Answer:

x=15

Step-by-step explanation:

[tex]\frac{x}{3} +10=15\\\frac{x}{3}=5\\x=15[/tex]

Answer:

854

Step-by-step explanation:

Find the area of triangle then the square also I was ACTUALLY THE IMPOSTER AHAHAHAHAHAHHAHA

Answer:

m = 3

Step-by-step explanation:

Since model ABCD has all equivalent side lengths, QRST is the same way, just smaller.

(Not sure if this is right, just the way I learned it!)

Answer: 45

Step-by-step explanation:

3x3x5

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

2y+3=15

2y=12

y=6

Answer:

5/33

Step-by-step explanation:

........... Explanation in pic ...........

Answer:

No, Arjun would need 2546 boxes

Step-by-step explanation:

Since he needs to pack 15,276 pastries into boxes of 6, this equation can be used to determine the amount of boxes needed. Hope this helps!

Answer:

1 1/12

Step-by-step explanation:

3/4 + 1/3

Get a common denominator of 12

3/4 * 3/3 = 9/12

1/3 * 4/4 =4/12

9/12 + 4/12

13/12

12/12 + 1/12

1 1/12

Answer:

Part A:  [tex]\frac{1}{2}[/tex]

Part B: [tex]\frac{10}{9}[/tex]

Step-by-step explanation:

Part A: What is the reciprocal of 2.

2 is just [tex]\frac{2}{1}[/tex] in fraction terms. To find the reciprocal, you just have to flip it over. That would get to [tex]\frac{1}{2}[/tex]. Therefore, the reciprocal is [tex]\frac{1}{2}[/tex].

Part B: What is the reciprocal of 9 over 10?

9 over 10 in numerical terms is just [tex]\frac{9}{10}[/tex]. o find the reciprocal, you just have to flip it over. That would get to [tex]\frac{10}{9}[/tex]. Therefore, the reciprocal is [tex]\frac{10}{9}[/tex].

Hope this helped! If not, please let me know! <3

Answer:

10/29

Step-by-step explanation:

[tex]2\frac{9}{10}=\frac{29}{10}[/tex]

Reciprocal of [tex]\frac{29}{10}= \frac{10}{29}[/tex]

Answer:

y=8

Step-by-step explanation:

l3l=3

3+5=8 so y=8

Answer:

1/4x+3/4

Step-by-step explanation:

Answer:The answer would be infinite solutions

Step-by-step explanation:

Answer:

Step-by-step explanation:

In order to know that this is true, you must do simple steps to solve it. The first equation (y = 2 (x + 4)) is unsolved. In order to make it equal to the second equation (Y = 2 x + 8

), you must first use the distributive property, so multiply the x and the 4 in the first equation to get Y= (2x + 8), remove the parenthesis, and now, the equations are equal. Since they are equal, they overlap each other on the graph, so any number replacing x will change both equations equally, so they will forever overlap no matter what.

Hope this helps! [?][?]

the answer is A and D

when you differentiate the question you find that the maximum point is (0,0)i.e

[tex] \frac{dy}{dx} = - 8x[/tex]

when dy/dx is 0 values of x are 0,0

and the function shows that valies of x are real numbers.

The domain of the graph is (−∞,∞), {x|x∈R} and the maximum point (0,0) which is the correct answer would be options (A) and (D)

The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.

Given function as

f(x) = -4x²

The range is the set of values that correspond with the domain.

Range: (−∞,0], {y|y≤0}

Domain: (−∞,∞), {x|x∈R}

and the function shows that values of x are real numbers.

The maximum point is when differentiating the function, which is (0,0) i.e

dy/dx = -8x

Values of x are 0 when dy/dx is 0.

Hence, the domain of the graph is (−∞,∞), {x|x∈R} and the maximum point (0,0) which is the correct answer would be options (A) and (D)

Learn more about the domain and the range here:

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Answer:

In the second ratio, the number of people is the denominator. It should be the numerator to match the first ratio.

Step-by-step explanation:

Answer:

5 students

Step-by-step explanation:

We have to get the difference between these two numbers to find out how much space is left. 23 - 18 is 5.

Answer:

C. 16

Step-by-step explanation:

1. Calculate the absolute value

|-8|+4(-5+9)/2

2. Reduce the fraction with 2

8+4(4/2)

3. Multiply

8+4(2)

4. Calculate

8+8 = 16

Answer:

what class is this?

Step-by-step explanation:

Answer: 1 over 2

Step-by-step explanation: if you take the coordinates of the pre-image, letter A. which is (2,6) and the coordinates of the transformed image A’ which is (1,3) and only use the first number of the coordinates. You would put the number of of the pre-image as the denominator and the number of the transformed image as the numerator. And It would become 1/2.

[tex]Question[/tex]

A coordinate grid is shown from negative 10 to 0 to positive 10 on both x- and y-axes at increments of 1. A triangle PQR has P at ordered pair 3, 3, Q at 6, 3, R at 3, 6. A polygon P prime Q prime R prime has P prime at ordered pair 1, 1, Q prime at ordered pair 2, 1, R prime at ordered pair 1, 2.

What is the scale factor of dilation?

1 over 2

1 over 3

1 over 4

1 over 5

Answer:

The Answer Is 1 Over 2 :D

Step-by-step explanation:

Hope this Helps!!

Answer:

105

Step-by-step explanation:

theres 3 feet in a yard

Answer:

6 r 30

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 31 on the left side and the dividend 216 on the right side like this:

 3 1 ⟌ 2 1 6

Step 2:

The divisor (31) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:

       0    

 3 1 ⟌ 2 1 6

Step 3:

Multiply the divisor by the result in the previous step (31 x 0 = 0) and write that answer below the dividend.

       0    

 3 1 ⟌ 2 1 6

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.

       0    

 3 1 ⟌ 2 1 6

     - 0    

       2    

Step 5:

Move down the 2nd digit of the dividend (1) like this:

       0    

 3 1 ⟌ 2 1 6

     - 0    

       2 1  

Step 6:

The divisor (31) goes into the bottom number (21), 0 time(s). Therefore, put 0 on top:

       0 0  

 3 1 ⟌ 2 1 6

     - 0    

       2 1  

Step 7:

Multiply the divisor by the result in the previous step (31 x 0 = 0) and write that answer at the bottom:

       0 0  

 3 1 ⟌ 2 1 6

     - 0    

       2 1  

         0  

Step 8:

Subtract the result in the previous step from the number written above it. (21 - 0 = 21) and write the answer at the bottom.

       0 0  

 3 1 ⟌ 2 1 6

     - 0    

       2 1  

     -   0  

       2 1  

Step 9:

Move down the last digit of the dividend (6) like this:

       0 0  

 3 1 ⟌ 2 1 6

     - 0    

       2 1  

     -   0  

       2 1 6

Step 10:

The divisor (31) goes into the bottom number (216), 6 time(s). Therefore put 6 on top:

       0 0 6

 3 1 ⟌ 2 1 6

     - 0    

       2 1  

     -   0  

       2 1 6

Step 11:

Multiply the divisor by the result in the previous step (31 x 6 = 186) and write the answer at the bottom:

       0 0 6

 3 1 ⟌ 2 1 6

     - 0    

       2 1  

     -   0  

       2 1 6

       1 8 6

Step 12:

Subtract the result in the previous step from the number written above it. (216 - 186 = 30) and write the answer at the bottom.

       0 0 6

 3 1 ⟌ 2 1 6

     - 0    

       2 1  

     -   0  

       2 1 6

     - 1 8 6

         3 0

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 216 divided by 31 calculated using Long Division is:

6

30 Remainder

Answer:

What is the question? I canno't understand this without the full question or can you include a picture please?

Step-by-step explanation:

Answer:

Blouse = $13.00

Jeans = $25.50

Step-by-step explanation:

x = blouse

y = jeans

x + y = 38.5

y = x + 12.5

Use substitution:

x + x + 12.5 = 38.5

2x = 26

x = 13

Blouse = $13.00

Jeans = $25.50

The price of  Blouse is $13.00 and price of Jeans is $25.50.

Two or more expressions with an Equal sign is called as Equation.

Let x represents the price of blouse and y represents the price of jeans.

mary bought a blouse and a pair of jeans for 38.50

x+y=38.5

jeans cost 12.50 more then the blouse

y=12.5+x

We need to find the price of jeans.

Substitute y value in above equation.

x + x + 12.5 = 38.5

Add the like terms

2x+12.5 = 38.5

Subtract 12.5 on both sides

2x = 26

Divide both sides by 2

x = 13

Hence, the price of  Blouse is $13.00 and price of Jeans is $25.50.

To learn more on Equation:

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