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k0ka [10]
3 years ago
13

How many kilograms of coffee worth 40/kg must be mixed with coffee worth $11/kg to give 12kg of coffee worth $9.50/kg

Mathematics
1 answer:
Kazeer [188]3 years ago
4 0

Answer:

0.62kg

Step-by-step explanation:

Let

x = 40/kg coffee

y = 11/kg coffee

two equations can be derived from the question

x + y = 12 equation 1

40x + 11y = 114 (9.5 x 12)  equation 2

multiply equation 1 by 11

11x + 11y = 132 equation 3

subtract eqn 3 from eqn 2

29x = 18

divide both sides of the equation by 29

x = 0.62kg

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Line plot
klio [65]

Answer:

Mode

Step-by-step explanation:

The answer is Mode. Mode is basically a number or data item that appears most frequently in a data set. First lets see how we find Mode. To find the Mode in the data set, first the numbers or data items are placed in order. Then it is counted that how many times each number appears. A number or data item that appears most frequently is the mode.

So lets a student builds unifix cube towers to represent the ages of the five children as following:

3 1 2 2 4

Now the student first places them in order from smallest to largest

1 2 2 3 4

Now she removes the shortest and tallest tower. Shortest is 1 and tallest is having 4 cubes. After removal of shortest and tallest tower:

2 2 3

Then removes the next shortest and tallest tower. Now the shortest tower has 2 cubes and tallest has 3 cubes. After removal of shortest and tallest tower:

2

The tower in the middle is remaining i.e. 2

So as you can see the most frequently occurring from 1 2 2 3 4 is also 2 as it appears twice. So that means student has found Mode. Although the same method is used to find the median too but here the most appropriate option is Mode. Mean is the way to find the average but it is computed by adding the numbers in the data set with the total size of data. So its not an appropriate option because the method that the student followed does not match with the method to compute mean. Also range is not a valid option because range finds the difference of the largest and smallest number and the method that student used is different from the method to compute range. If we compute the difference between largest and smallest number we get 3.

8 0
3 years ago
a test has 20 questions it award 3 points is the answer is correct and takes away 1 point if the answer is incorrect . what inte
Alex73 [517]

Answer:

1(20-x)

Step-by-step explanation:

let the number of correct answers be x

so wrong will be 20-x

1 mark cancelled from each question

therefore,

1(20-x) will be the answer

6 0
3 years ago
Choose the equation of a line that is perpendicular to the y-axis and passes through the point (5, -2).
Irina-Kira [14]
It would moat likly be y=-2 due to it having to be perpendicular to the y axis and pass through the 5,-2 point
5 0
2 years ago
Brach and Larue is a home goods store chain, and it is about to introduce a new convection oven that’s expected to sell very wel
zvonat [6]

Answer:

\$12,465

Step-by-step explanation:

The functions for cost and revenue are given below:

Projected \:Revenue,R(x)=  -13.85x^2 + 1660x\\$Projected Cost, C(x)=55400 -279x\\Projected Profit = Revenue-Cost=R(x)-C(x)\\=-13.85x^2 + 1660x-(55400 -279x)\\=-13.85x^2 + 1660x-55400 +279x\\P(x)=-13.85x^2 + 1939x-55400

The profit will be maximized at its <u>line of symmetry,</u>x=-\dfrac{b}{2a}<u />

From P(x), a=-13.85, b=1939

<u>Line of symmetry,</u>

<u />x=-\dfrac{b}{2a}=-\dfrac{1939}{2(-13.85)}=70<u />

<u>The maximum profit that can be made will occur when x=70</u>

<u />P(x)=-13.85x^2 + 1939x-55400\\P(70)=-13.85(70)^2 + 1939(70)-55400\\=\$12,465<u />

The maximum profit that can be made form the sales of the oven is $12,465.

6 0
3 years ago
What are the x and y intercepts of the line??<br><br> 5x-2y=-20
uysha [10]
X=(-4,0)
y=(0,9)
hope this helps

8 0
3 years ago
Read 2 more answers
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