Apples with mass 90 grams or less cost 32p each. Apples with mass more than 90 grams cost 39p each.
Estimate the total cost of the 200 apples.
(3 marks)

Answer:

52 cm^2

Step-by-step explanation:

1) find the area of the rectangle

A = base x width = 8 x 5 = 40 cm^2

2) find the area of the triangle

A = (base x height)/2 = (8x3)/2 = 12 cm^2

3) find the total area

A = 40 + 12 = 52 cm^2

Answer:

Step-by-step explanation:

Area = 8 x 5 + 4 x 3  x 1/2 x 2

Area = 40 + 12 x 1/2 x 2

Area = 40 + 6 x 2

Area = 40 + 12

Area = 52

Hope that helps! :)

-Aphrodite

Answer: To calculate the sample mean of a distribution, you add up all the values and divide by the number of values in the sample. The sample mean is also known as the average.

The formula for the sample mean is:

X-bar = (X1 + X2 + ... + Xn) / n

To calculate the sample variance of a distribution, you first need to calculate the sample mean. Then, for each value, you subtract the sample mean and square the result. You add up all these squared differences, and divide the sum by the number of values in the sample.

The formula for the sample variance is:

s^2 = ( (X1 - X-bar)^2 + (X2 - X-bar)^2 + ... + (Xn - X-bar)^2 ) / (n - 1)

It would be helpful to have the sample data, however I cannot complete this task without it.

Please provide me with the data.

Step-by-step explanation:

Answer:

Step-by-step explanation:

There should be a video to help you probably says something like hint? then click there

Answer:

They have videos you can watch

Step-by-step explanation:

those videos will help explain them better and show you exactly how to do that problem

Answer:18

Step-by-step explanation:15 + 6 u add the 15 and the 6 for it to be 18

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) mean: sum the values and divide for how many they are

Red birds: (87+94+99+85+106+111)/6 = 97

Rockets : (93+107+87+89+108+92)/6 = 96

the Red birds have the higher mean, that is 97

2) median

set the numbers from the least to the greatest and check the number in the middle

Red birds: 85, 87, 94, 99, 106, 111

there are two numbers in the middle, so we have to added up them and divide the result by two

median = (94  + 99)/2 = 96,5

Rockets = 87, 89, 92, 93, 107, 108

median = (92+93)/2 = 92,5

the Red birds have the higher median, that is 96,5

3) range: difference between the highest and the lowest value

Red birds = 111 - 85 = 26

Rockets = 108 - 87 = 21

the Red birds have the highest range, that is 26

Answer: 0

Step-by-step explanation:

Answer:

14.5833333333

Step-by-step explanation:

3.5x2.5=8.75, divided by 0.6 is 14.5833333333

Answer:What is the probability that you will finish this quiz in 23.84 minutes or less?

0.03593

Write your answer as a percentage with 2 decimals

= 3.59%

Step-by-step explanation:

The z score formula is given as:

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Mean = 26 minutes

Standard deviation = 1.2 minutes.

Answer:

Angle x = 120 degrees

Angle y = 60 degrees

Step-by-step explanation: Angle x has to be equivalent to the 120 degree angle that is already given since lines l and m are parallel as well as lines p and q. To find angle y, you must realize that angles x and y are supplementary angles, so their sum is 180 degrees. Since we now know that angle x is 120 degrees, you must subtract 120 from 180 in order to find the value of angle y: 180 - 120 = 60 degrees. I'm sure that there are other methods to figuring this question out, but this is how I did it.

here x = option c and here y= option a

Answer:

Distance LM = 5.20 unit (Approx.)

Step-by-step explanation:

Given coordinates;

L(1, 4, 7) and M(2, 9, 8)

Find:

Distance LM

Computation:

Distance between three-dimensional plane = √(x2 - x1)² + (y2 - y1)² + (z2 - z1)²

Distance LM = √(2 - 1)² + (9 - 4)² + (8 - 7)²

Distance LM = √(1)² + (5)² + (1)²

Distance LM = √1 + 25 + 1

Distance LM = √27

Distance LM = 3√3 unit

Distance LM = 3(1.732)

Distance LM = 5.196

Distance LM = 5.20 unit (Approx.)

Answer:

m∠P = 107º

Step-by-step explanation:

Since two sides are parallel this is a trapezoid

In a trapezoid, the angles on the same leg (called adjacent angles) are supplementary, meaning they add up to 180 degrees.

(7x + 31) + (21x - 19) = 180

combine like terms

28x + 12 = 180

Subtract 12 from both sides

28x = 168

Divide both sidees by 28

x = 6

m∠P = 21x - 19

m∠P = 21(6) - 19

m∠P = 107º

Answer: the bigger bottle (90 fl. oz) is better value

Step-by-step explanation:

One method is to scale the quantities up to the same value.

The LCM (lowest common multiple) of 50 and 90 is 450

9 of the smaller bottle will cost $44.95 and contain 450 fl. oz

5 of the bigger bottle will cost $37.50 and also contain 450 fl. oz

A second method is to find the cost per (say) 10 fl. oz from each bottle

In the 50 fl. oz bottle each 10 fl. oz costs 4.99 / 5 = $0.998

In the 90 fl. oz bottle each 10 fl. oz costs 7.50 / 9 = $0.8333...

Answer:

4 * 7/8

Step-by-step explanation:

It's asking to multiply.

On solving the provided question we can say that - the value of the ellipse will be (5+ , root5)

In mathematics, an ellipse is a planar curve that encompasses two focus points and ensures that the sum of the two distances from any point on the curve to the focal points is constant. In doing so, the circle—a particular variety of ellipse with two equal focus points—is generalized. The ellipse, whose eccentricity is less than 1, indicates the area containing the points whose distances from its two foci add up to a certain amount. Running tracks in sporting arenas and 2D egg forms are two straightforward examples of ellipses in daily life.

here we have,

center at (5,-2), one vertex at (2, -2) and a focus at

(5+ √5,-2)

so the answer is (5+ , root5)

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132 divided by 12 is equal to 11 with a remainder of 2.

To perform the division, you can use long division:

Step 1: Set up the division equation:

      _______

12 | 132

Step 2: Identify how many times 12 can fit into the first digit of 132 (1). Write the quotient (result) above the line:

      11

      _______

12 | 132

Step 3: Multiply the divisor (12) by the quotient (11) and write the result below the first part of the dividend:

      11

      _______

12 | 132

     -  12

      _______

Step 4: Subtract the result from step 3 from the first part of the dividend (132 - 12 = 120). Write the new result below the line:

      11

      _______

12 | 132

     -  12

      _______

        120

Step 5: Bring down the next digit of the dividend (in this case, the digit "3") and put it next to the remainder (120):

      11

      _______

12 | 132

     -  12

      _______

        120

         3

Step 6: Determine how many times 12 can fit into 120. The answer is 10. Write the new quotient digit (10) above the digit "3":

      11

      _______

12 | 132

     -  12

      _______

        120

         3

      _______

        110

Step 7: Multiply the divisor (12) by the new quotient digit (10) and write the result below the second part of the dividend:

      11

      _______

12 | 132

     -  12

      _______

        120

         3

      _______

        110

        -  108

      _______

Step 8: Subtract the result from step 7 from the second part of the dividend (110 - 108 = 2). Write the new result below the line:

      11

      _______

12 | 132

     -  12

      _______

        120

         3

      _______

        110

        -  108

      _______

          2

Step 9: There are no more digits to bring down from the dividend, and the remainder is less than the divisor. The division process is complete.

The final result is the quotient (11) with a remainder of 2. So, 132 divided by 12 is 11 with a remainder of 2.

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Answer:

Only sequence B

Step-by-step explanation:

Got the answer from Khan Academy.

A translation 6 units to the right and 6 units up, then a 180° rotation about point B. The correct option is B.

The process of changing the location of the image on the coordinate system will be known as the translation. Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation.

It is given that triangles XYZ and ABC are congruent. The side length of each square on the grid is 1 unit.

In the figure, we can see the translation 6 units to the right and 6 units up, then a 180° rotation about point B.

Therefore, the translation is 6 units to the right and 6 units up, then a 180° rotation about point B. The correct option is B.

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Answer:

The high of the water is 2 cm.

Step-by-step explanation:

The equation of this volume is:

[tex]V=45*10*x[/tex]

We know that the volume is 900 cm³. So we just need to put this value in the above equation and solve it for x, which is the height.

[tex]900=45*10*x[/tex]

[tex]900=450*x[/tex]

[tex]x=\frac{900}{450}[/tex]

[tex]x=\frac{900}{450}[/tex]

[tex]x=2\: cm[/tex]

Therefore, the high of the water is 2 cm.

I hope it helps you!

If the perimeter of the triangle is 64 units, then the length of the side PR is 24 units.

This is referred to as a three-sided polygon that consists of three edges and three vertices and the longest side is referred to as the hypotenuse.

The perimeter of a triangle is the sum of all the sides which is:

P = a + b + c

64 = 3x +4x - 1 + x + 1

64 = 8x

x = 64/8 = 8 units

Therefore the length of side PR is :

3x = 3 (8) = 24 units.

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Answer:

55°

Step-by-step explanation:

Total: 90°

90° - 35°

55°

Answer:

4^5 = 1024

4×4×4×4×4 = 1024

Step-by-step explanation:

An exponential expression is going to have an exponent representing the repeated multiplication. 4 times itself 5 times over is 4^5.

A product of factors is going to show the multiplication written out sort of in a long format:

4 × 4 × 4 × 4 × 4

4^5 = 1024

4×4×4×4×4 = 1024

Answer:

I am sure the answer is 300

Answer: (-3,-1)

Step-by-step explanation:

Answer:

1 17/20 is the answer

Answer:

5/8

Step-by-step explanation:

1/4=2/8

7/8-2/8=5/8

xfgxfsdfxcxcxAnswer:

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

Five multiplied by a certain number is added to two

 5          *                          x                        +             2

equals four times the number plus four

  =          4       *              x          +       4

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

5x + 2 = 4x + 4

Subtract 4x from both sides

x + 2 = 4

Subtract 2 from both sides

x = 2

Answer:

120 in²

Hope this helps!

Answer:

Step-by-step explanation:

it's asking what is the y out put.. if you added  the green line with the red line at the input of 2.    I feel like graph math ever clearly states what they want you to understand or give an answer to. you are just supposed to "get it" and most people don't just "get it".   anyway..  so add  the red lines y value at the x of 2 with the green lines y value at 2

0+2 =2

I also feel like the answer to made to totally confuse people too.   b/c of how how when you input a 2 and add the two graphs, you also get a 2 , it's just circular and confusing.

2 is the answer BTW  :p

Answer:

Step-by-step explanation

First, let's remember the equation for point-slope form and how to find the 'm' value:

[tex]y-y1 = m (x-x1)\\m = rise/run\\m = \frac{-4-(8)}{-1-(0)} = 12[/tex]

Now plug your m value and (x1, y1) into point-slope form:

[tex]y - 8 = 12(x-0)\\reduce\\y=12x+8[/tex]