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Flauer [41]
3 years ago
5

A scientist has two solution which she labelled, solution A and solution B, each continue salt,she knows that solution A is 65%

salt and solution B is 90% salt.she wants to obtained 40 ounce of mixture that is 75% salt,how many ounce of each solution should she use
Mathematics
1 answer:
Lorico [155]3 years ago
7 0
A = oz of the solution A

b = oz of the solution B



The scientist knows that solution A is 45% salt and solution B is 95% salt. She wants to obtain 80 ounces of a mixture that is 65% salt.



a + b = 80



0.45a + 0.95b = 0.65*80



by solving the above system of equations you'll find····



a = 48 oz



b = 32 oz

~I hope this helped~

If it doesn't make since, I can try to switch up the wording ^^

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The zeros of function d are -3 and 8. Which expression could be a factor of function d?
marysya [2.9K]
X+3 or x-8
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8 0
3 years ago
What is the 38th term of 459,450,441,..
galina1969 [7]

Answer:

The 38th term of 459,450,441,.. will be:

a_{13}=351

Step-by-step explanation:

Given the sequence

459,450,441,..

An arithmetic sequence has a constant difference 'd' and is defined by

a_n=a_1+\left(n-1\right)d

computing the differences of all the adjacent terms

450-459=-9,\:\quad \:441-450=-9

so

d=-9

The first element of the sequence is

a_1=459

so the nth term will be

a_n=-9\left(n-1\right)+459

a_n=-9n+468

Putting n=38 to find the 38th term

a_n=-9n+468

a_{13}=-9\left(13\right)+468

a_{13}=-117+468

a_{13}=351

Therefore, the 38th term of 459,450,441,.. will be:

a_{13}=351

3 0
3 years ago
Rationalize the denominator and simplify 6/√2-√3
ss7ja [257]
Answer:

<span>=3<span>√6</span>−3<span>√5</span></span>

Explanation:

<span>3<span><span>√5</span>+<span>√6</span></span></span>

We rationalise the denominator by multiplying the expression by the conjugate of the denominator. <span><span>√5</span>−<span>√6</span></span>

<span><span>3⋅<span>(<span>√5</span>−<span>√6</span>)</span></span><span><span>(<span>√5</span>+<span>√6</span>)</span>⋅<span>(<span>√5</span>−<span>√6</span>)</span></span></span>

<span>=<span><span>3⋅<span>(<span>√5</span>)</span>+3⋅<span>(−<span>√6</span>)</span></span><span><span>(<span>√5</span>+<span>√6</span>)</span>⋅<span>(<span>√5</span>−<span>√6</span>)</span></span></span></span>

<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span><span>(<span>√5</span>+<span>√6</span>)</span>⋅<span>(<span>√5</span>−<span>√6</span>)</span></span></span></span>

<span>Applying identity
<span><span>(a+b)</span><span>(a−b)</span>=<span>a2</span>−<span>b2</span></span> to the denominator.</span>

<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span><span><span>(<span>√5</span>)</span>2</span>−<span><span>(<span>√6</span>)</span>2</span></span></span></span>

<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span>5−6</span></span></span>

<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span>−1</span></span></span>

<span>=−3<span>√5</span>+3<span>√6</span></span>

<span>=3<span>√6</span>−3<span>√<span>5
</span></span></span>

5 0
3 years ago
4(x−0.8)=3.8x−5.8 PLZZZ ANSWER FAST!
Hunter-Best [27]
To find the answer:
4(x - 0.8) = 3.8x - 5.8 \\ 4x - 3.2 = 3.8x - 5.8 \\ 4x - 3.8x =  - 5.8 + 3.2 \\ 0.2x =  - 2.6 \\ x =   - \frac{ 2.6}{0.2}  \\ x =  - 13

Therefore, x=-13.

Hope it helps!
5 0
3 years ago
Read 2 more answers
The probability that an event will occur is 95%. Which of these best describes the likelihood of the event occurring?
AfilCa [17]

Answer:

Likely

First option is correct.

Step-by-step explanation:

The probability for occurring the event = 95% = 0.95

Let us understand different types of events:-

  • Certain events: If the probability of occurring an even is 1, then it is a certain event.
  • Impossible events: If the probability of occurring an even is 0, then it is a impossible event.
  • Likely events: If the probability of occurring an even is close to 1, then it is a likely event.
  • Unlikely events: If the probability of occurring an even is close to 0, then it is a unlikely event.

Now, the probability for occurring the event = 95% = 0.95, which is close to 1.

Hence, we can conclude that the event is likely.

First option is correct.

4 0
3 years ago
Read 2 more answers
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