Each person rode 2.9 miles and A total of 8 ones and 7 tenths are shaded to model the total length of the race. The shading is equally divided into 3 groups to model the 3 riders. And each group has 2 ones and 9 tenths shaded to model the distance each person rode
Answer:
-47
Step-by-step explanation:
-8(5)+-7
= -40 -7 (+ gets elimanated by the -)
= -47
We are given with an original salary of $x and it says that after x years, the salary doubles. Hence after 10 years of working in the company, the salary increases by twice the value of the original salary. The answer to this problem is 2 multiplied to $x or letter D. $2x.
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Given
Alchemist wishes to mix a solution that is 10% acid.
She has on hand 6 liter of a 8% acid solution and wishes to add some 16% acid solution to obtain the desired 10% acid solution. H
To find: ow much 146 acid solution should she add?
Explanation:
It is given that,
Alchemist wishes to mix a solution that is 10% acid.
Let x be the amount o acid mixed to obtain the desired 10% solution.
Since she has on hand 6 liters of a 8% acid solution and wishes to add some 16% acid solution to obtain the desired 10% acid solution.
Then,
![\begin{gathered} 6l\text{ }of\text{ }8\%+16\%\text{ }of\text{ }x=10\%\text{ }of\text{ }(6+x) \\ 6\times\frac{8}{100}+\frac{16}{100}\times x=\frac{10}{100}\times(6+x) \\ \frac{48}{100}+\frac{16x}{100}=\frac{10}{100}(6+x) \\ 48+16x=10(6+x) \\ 48+16x=60+10x \\ 16x-10x=60-48 \\ 6x=12 \\ x=\frac{12}{6} \\ x=2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%206l%5Ctext%7B%20%7Dof%5Ctext%7B%20%7D8%5C%25%2B16%5C%25%5Ctext%7B%20%7Dof%5Ctext%7B%20%7Dx%3D10%5C%25%5Ctext%7B%20%7Dof%5Ctext%7B%20%7D%286%2Bx%29%20%5C%5C%206%5Ctimes%5Cfrac%7B8%7D%7B100%7D%2B%5Cfrac%7B16%7D%7B100%7D%5Ctimes%20x%3D%5Cfrac%7B10%7D%7B100%7D%5Ctimes%286%2Bx%29%20%5C%5C%20%5Cfrac%7B48%7D%7B100%7D%2B%5Cfrac%7B16x%7D%7B100%7D%3D%5Cfrac%7B10%7D%7B100%7D%286%2Bx%29%20%5C%5C%2048%2B16x%3D10%286%2Bx%29%20%5C%5C%2048%2B16x%3D60%2B10x%20%5C%5C%2016x-10x%3D60-48%20%5C%5C%206x%3D12%20%5C%5C%20x%3D%5Cfrac%7B12%7D%7B6%7D%20%5C%5C%20x%3D2%20%5Cend%7Bgathered%7D)
Hence, she should add 2 liters of acid solution.
Answer:
7: (3,9) 8:(-2,1) 6: (2,10)
Step-by-step explanation:
7) 2x+3=-2x+15
x=3
y=2(3)+3
y=6+3
y=9
8)x= -1(1+2y)/3
-4-2y=-6
y=1
x=-2(1+2(1))/3
x=-2
6)2x-16=-12
x=2
y=2+8
y=10