Answer:
-4/11 or -0.36363
Step-by-step explanation:
;)
Hey there!!
Let's take the first number an the smallest number as ' x '
Then, the second consecutive even integer would become ' x + 2 '
Third integer ' x + 4 '
Hence, adding them up, we get,
x + x + 2 + x + 4
... 3x + 6
This is equal to 4 times the smallest number.
We got the smallest number as ' x '
Hence, the final equation :
... 3x + 6 = 4x
Hope my answer helps!!
Answer:
113.115 cm
Step-by-step explanation:
<u>Formula:</u>
C = 2πr
<u>Given:</u>
Radius: 22 cm
Diameter: 44 cm
The perimeter of a semicircle is the sum of half of the circumference of the circle and its diameter.
Simply plug in your numbers to find the circumference first.
C = 2π(22)
C = 44π cm or 138.23 cm
Then, divide the circumference in half, and add your diameter.
Perimeter = (44π/2) + 44 = 113.115 cm
By solving a system of equations, we will see that you must use 6.67 pounds of chocolate-covered almonds.
<h3>
How to solve the system of equations?</h3>
First, we need to define the two variables:
- x = number of pounds of the $9.99 chocolate-covered almonds used.
- y = number of pounds of the $5.99 chocolate-covered raisins used.
If we mix that, we will get:
x*$9.99 + y*$5.99 = (x + y)*C
That equation means that the cost of the individual elements of the mixture, must be equal to the total cost of the mixture. Where C is the cost of each pound of the mixture, and we know that:
C = $8.75
y = 3
Replacing that, we get:
x*$9.99 + 3*$5.99 = (x + 3)*$8.75
Now we can solve that for x:
x*$9.99 - x*$8.75 = 3*$8.75 - 3*$5.99
x*$1.24 = $8.28
x = $8.28/$1.24 = 6.67
Then you must use 6.67 pounds of the chocolate-covered almonds.
If you want to learn more about systems of equations:
brainly.com/question/13729904
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Answer:
B
Step-by-step explanation: