Answer: The tripled tofu is 4 lb. 14 oz. Explanation: So you first want to turn your mass into the same unit, so change the pounds of tofu into ounces. There are 16 ounces in a pound, which means the total mass of the original tofu could be written as (16 oz.) + 10 oz. = 26 oz. tofu. Multiply this by 3, and you have tripled the tofu. 3 * 26 = 78. To simplify it, divide 78 oz by 16 to find pounds, and leave the remainder in ounces. 78/16 = 4 lb. 14 oz tofu.
<span>it all looks confusing when we try to juggle with all those numbers in the head. The problem can be solved systematically by constructing a contingency table.
</span>role/gender B G total
speaking...... 4 4 8
<span> silent............ 4 8 12
total............. 8 12 20
</span>Probability of a child having a speaking part is therefore
(4+4)/20=8/20=2/5
a. 2/5
The solution is the point where the two lines intersect (are equal) so y=y and we can say:
6-x=-10-x upon adding x to both sides:
6=-10
This is never true so there is no solution to this system of equations. And for this to be true the two lines must be parallel and have different y-intercepts...
Answer:
169
Step-by-step explanation:
Use a proportion:
72/85=x/200
Solve for x
(72)(200)=85x
x=(72)(200)/85
x=169.41≈ 169
She can make 169 of 200 free throws.
Answer:
Step-by-step explanation:
If you call "5x-2x^2+1" an "equation," then you must equate 5x-2x^2+1 to 0:
5x-2x^2+1 = 0
This is a quadratic equation. Rearranging the terms in descending order by powers of x, we get:
-2x^2 + 5x + 1 = 0. Here the coefficients are a = -2, b = 5 and c = 1.
Use the quadratic formula to solve for x:
First find the discriminant, b^2 - 4ac: 25 - 4(-2)(1) = 25 + 8 = 33
Because the discriminant is positive, the roots of this quadratic are real and unequal.
-b ± √(discriminant)
Applying the quadratic formula x = --------------------------------
2a
we get:
-5 ± √33 -5 + √33
x = ----------------- = --------------------- and
2(-2) -4
-5 - √33
---------------
-4