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Blababa [14]
3 years ago
8

What is the missing side length in this right triangle? 9 in & 12 in

Mathematics
1 answer:
KengaRu [80]3 years ago
3 0
The length of the hypotenuse is 15 feet.



Explanation


9 x 9+12

81+144


225/2

15
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A chemist has 200 mL of a 10% sucrose solution. She adds x mL of a 40% sucrose solution. The percent concentration, y, of the fi
user100 [1]

Answer:

The chemist needs to add 400mL of 40% solution.

Step-by-step explanation:

The equation

y=\frac{0.1(200)+0.4x}{200+x} *100

gives the percent concentration y of the final mixture, when x mL of the 40% solution are added.

Now we are asked, how many milliliters x of the 40% solution should the chemist add to get final percent concentration y=30; this is just a matter of solving the equation

30=\frac{0.1(200)+0.4x}{200+x} *100

and we solve it the following way:

30=\frac{0.1(200)+0.4x}{200+x} *100\\\\0.3 =\frac{0.1(200)+0.4x}{200+x}\\\\0.3(200+x)=0.1(200)+0.4x\\\\60+0.3x=20+0.4x\\\\40=0.1x\\\\x=\frac{40}{0.1} \\\\\boxed{x=400\:mL}

Thus, the chemist needs 400mL of 40% solution to get 30% concentration of the final mixture.

7 0
4 years ago
Solve the two-step equation and identify the steps.
Novay_Z [31]

Answer:

x=-10

Step-by-step explanation:

The first step is to subtract 6.1 on both sides:

1.4x=-14

The second step is to divide 1.4 on both sides:

x=-10

Hope this helps

3 0
3 years ago
Read 2 more answers
Which statement is true about the end behavior of the graphed function?
tatyana61 [14]

The <em><u>correct answer</u></em> is:

A) as the x-values go to positive infinity, the functions values go to negative infinity.  

Explanation:

We can see in the graph that the right hand portion continues downward to negative infinity.  The right hand side of the graph is "as x approaches positive infinity," since x continues to grow larger and larger.  This means as x approaches positive infinity, the value of the function approaches negative infinity.

8 0
3 years ago
Read 2 more answers
Katie runs on day 1 8/1/8 mile and on day 2 she runs 4/3/8. how many more miles did she run on Day 1 than Day 2?
Otrada [13]
8 1/8 - 4 3/8 = 3 6/8

3 0
3 years ago
Read 2 more answers
The polygons in each pair are similar. find the missing side length​
pochemuha

If both are similar ratio of sides will be same

\\ \sf\longmapsto  \frac{x}{25}  =  \frac{7}{5}  \\ \\ \sf\longmapsto 5x = 7 \times 25 \\ \\ \sf\longmapsto 5x = 175 \\ \\ \sf\longmapsto x =  \frac{175}{5}  \\ \\ \sf\longmapsto x = 35

6 0
3 years ago
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