Write an equation system based on the problem
For an instance, e stands for the price of a carton of eggs, and b stands for the price of a loaf of bread
"Kate bought 3 cartons of eggs and 5 loaves of bread for $30.07" could be written as 3e + 5b = 30.07 (first equation)
"Melissa bought 2 cartons of eggs and 2 loaves of bread for $14.74" could be written as 2e + 2b = 14.74 (second equation)
Solve the equation system using elimination method
Eliminate b to find e. To eliminate b, we should equalize the coefficient of b.
3e + 5b = 30.07 (multiplied by 2)
2e + 2b = 14.74 (multiplied by 5)
-------------------------------------------
6e + 10b = 60.14
10e + 10b = 73.70
------------------------- - (substract)
-4e = -13.56
e = -13.56/-4
e = 3.39
The price for a carton of eggs is $3.39
Answer:
Circumcenter theorem states that the vertices of the each triangle are equidistant from the circumcenter.
As per the statement:
It is given that: P is the circumference
From the given figure:
CP = 12 units.
then;
by circumcenter theorem;
AP= BP =CP = 12 units.
Next find the value of AB:
Labelled the diagram:
AD = 11 units
then;
AB = AD+DB
Since: AD=DB [You can see it from the given figure]
then;
AB = 2AD = 2(11) = 22 units
Therefore, the value of BP and AB are: 12 units and 22 units
Answer:
m and k
Step-by-step explanation:
Answer:
The correct answer would be C
Step-by-step explanation:
Looking at the data, you can tell that the first two are going to be wrong. The minimum is 1, and the maximum is 5.
A mode, by definition, is the number that appears most in the data. According to answer D, 3 appears 3 times in the data. That is incorrect, as 3 only appears twice in the data.
This leaves only answer C. We need to make sure it's correct. The answer mentions the mean as a value between 2 and 3. Mean is the average. To find the average, you must add all the values together first.
1 + 2 + 5 + 3 + 2 + 2 + 5 + 3 = 23
Then, you must divide the value by the number of data given. There are 8 numbers here, so you must divide 23 by 8.
23/8 = 2.875
2.875 is between the numbers 2 and 3 like answer C said, so C is correct.
<em>Answer:</em>
<em>-24, 48, -96</em>
<em>Step-by-step explanation:</em>
<em>The number before multiplies by -2.</em>
<em>3*-2=-6</em>
<em>and so on. </em>
<em>Hope this helps. Have a nice day.</em>
