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natulia [17]
3 years ago
13

Use a system of equations to solve this problem.

Mathematics
1 answer:
emmainna [20.7K]3 years ago
6 0
We have to set up 2 equations:
A) x + y = 10 liters
B) .05x + .25y = 10 * .10

Multiply equation B) by -4
B) -.2x  - y = -4 then add to equation A)
A) x + y = 10 liters
.8x = 6 liters
x = 7.5 liters of 5%
y = 2.5 liters of 25%

You might be interested in
1. 232 is 8 times the sum of Mark's and his sister's ages. His sister is 21. Find Mark's age.
AURORKA [14]

Answer:

a. 8 years

b. $49.20

Step-by-step explanation:

The computation is shown below:

a. The mark age is

Given that

232 is 8 times of the sum of mark and his sister ages

And, his sister is 21

So,

Let us assume the mark age be x

now

8(x + 21) = 232

x + 21 = 29

x = 29 -21

x = 8

b. The original price of the socks is

As each pair get $3 off

And she bought 6 pairs for $31.20

= $31.20 + 6 × $3

= $31.20 + 18

= $49.20

3 0
3 years ago
Help please!!!!!!!!!!!!!!!!
labwork [276]

Answer:

D. (8,3)

Step-by-step explanation:

Factor the equation

x2-11x+24=0

To factor an equation, you want the answer to add up to the second number, so in this case, 8+3 is equal to 11, and 8 times 3 also equals 24

5 0
3 years ago
Read 2 more answers
Simply each question
dalvyx [7]
2x-8y////2r+5+3r-s+11=5r+16-s////-7x+7
8 0
3 years ago
The average daily volume of a computer stock in 2011 was ų=35.1 million shares, according to a reliable source. A stock analyst
Shtirlitz [24]

Answer:

a

   The  null hypothesis is  H_o :  \mu =  35 .1 \ million  \ shares

    The  alternative hypothesis  H_a  :  \mu  \ne  35.1\ million  \ shares

b

 The   95% confidence interval is  27.475   <  \mu < 37.925

Step-by-step explanation:

From the question the we are told that

      The  population mean is  \mu  = 35.1 \  million \ shares

      The  sample size is  n = 30

       The  sample mean is  \= x  =  32.7 \ million\    shares

       The standard deviation is  \sigma =  14.6 \ million\  shares

     

Given that the confidence level is  95\% then the level of significance is mathematically represented as

                  \alpha  = 100-95

                  \alpha  = 5\%

=>               \alpha  = 0.05

Next we obtain the critical value of \frac{\alpha }{2} from the normal distribution table

    The value is  Z_{\frac{\alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as

                 E  =  Z_{\frac{\alpha }{2} } *  \frac{ \sigma }{\sqrt{n} }

substituting values

                E  =  1.96 *  \frac{ 14.6 }{\sqrt{30} }

                E  =  5.225

The 95% confidence interval confidence interval is mathematically represented as

              \= x  -E  <  \mu <  \= x  +E

substituting values

               32.7 - 5.225   <  \mu < 32.7 + 5.225

                27.475   <  \mu < 37.925

       

6 0
3 years ago
HELP I NEED HELP ASAP
marta [7]
X^2 -5x+6

X^2-2x-3x+6

(X-2)*(x-3) is the answer

4 0
3 years ago
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