Answer:
Step-by-step explanation:
We'll call the 2 numbers x and y. Starting with the last part of that first sentence "one number is 10 times the other number" can be written, in algebraic form:
y = 10x
Now on to the first statement about the numbers: "twice their sum" is 2(x + y) and "equals their product" is = xy. Putting that all together:
2(x + y) = xy and we know that y = 10x so
2(x + 10x) = x(10x) and
and
and
x(10x - 22) = 0 so
x = 0 or 10x - 22 = 0 which makes
x equal to 
So x = 2.2 and y = 22.
Answer:
Total amount of fluid sold = 63 ounces
Step-by-step explanation:
Given:
Each bottle contain = 2.1 ounces
Total number bottle = 30
Find:
Total amount of fluid sold
Computation:
Total amount of fluid sold = Each bottle contain x Total number bottle
Total amount of fluid sold = 2.1 x 30
Total amount of fluid sold = 63 ounces
Answer:
100°
Step-by-step explanation:
The angle between chords is the average of the intersected arc angles.
∠FKJ = ½ (84° + 76°)
∠FKJ = 80°
∠HKJ is supplementary to ∠FKJ.
∠HKJ = 180° − 80°
∠HKJ = 100°
532,532 would be the answer
Answer:
x=12
Step-by-step explanation:
This is a right triangle, so the Pythagorean theorem can be used. The Pythagorean theorem states that
where C is the hypotenuse and a and b are legs. In this question, we are given a and C. So, plugin 13 for C and 5 for a and solve for b. Once you rearrange the equation you get,
. Next, solve what is under the root to get,
. Finally, square root 144 for the final answer b=12.