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Karolina [17]
3 years ago
8

3t + 5sqrt(t) - 2 = 0 solve by using substitution

Mathematics
2 answers:
notsponge [240]3 years ago
3 0

Answer:

The answer is t=1/9

Step-by-step explanation:

If we substitute sqrt(t) = u, then we can write the equation as 3u^2+5u-2=0.

Using the <em>quadratic formula</em>, we can solve that <u>u = 1/3 and u = -2.</u>

We can go back to our original substitution and say that <em>sqrt(t) = 1/3</em>. The sqrt(t) can not be -2 because a <u>square root can not be negative.</u>

If we solve the equation sqrt(t) = 1/3, we get that t=1/9.

dlinn [17]3 years ago
3 0
This is something that I haven’t learned yet but I think the answer is 25
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Coach Johnson need to buy shin guards for junior varsity and varsity basketball players the following package of shin guards are
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Answer:

$1.50

Step-by-step explanation:

To find the best deal, we first want to consider price per unit. To find the price per unit, we divide the price by the number of units. For the 10 shin guard package, our price is 14.50, and we divide that by 10 to get 1.45 . Therefore, our unit price for the package of 10 is $1.45 per shin guard. Similarly, we can find the unit price for the package of 15 to be 22.5/15 = $1.50 per shin guard. As 1.50 is greater than 1.45, the lowest unit price is for the package of 10.

The question is asking for us to compare the prices if we bought 30 of each. For the package of 10, we get 1.45*30 (as we're buying 30 for 1.45) = 43.5 as the total price, and for the package of 15, we get 1.5*30 = 45 as our price. As 15 and 10 are both factors of 30, we don't need to worry about converting it back into packages of 10/15. The difference between buying 30 at the lowest and highest unit price is therefore (45-43.5)=1.5 dollars

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Step-by-step explanation:

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Hayley has $155 in savings, and her brother Hank has $230. Hayley is saving $10 each week, and her brother is spending $15 each
Sindrei [870]

Answer:

After 3 weeks they both will have the same amount in their savings account.

Step-by-step explanation:

Given:

Amount saved by Haley = $155

Amount saved by Hank = $230

Amount saving each week by Haley = $10

Amount spending each week by Hank = $15

We need to find Number of weeks when both both will have same amount in savings account.

Solution:

Let Number of week be 'x'.

Total Amount of Haley can be calculated by Amount saved by Haley plus Amount saving each week by Haley multiplied by number of weeks.

framing in equation form we get;

Total Amount of Haley = 155+10x

Also;

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framing in equation form we get;

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Now we need to find the number of weeks when both will have same amount.

To find the same we will have to make both the equation equal.

So we can say.

155+10x=230-15x

On Solving above equation we get;

We will combine the like terms together;

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Now Dividing both side by 25 using Division property of equality we get;

\frac{25x}{25} = \frac{75}{25}\\\\x=3 \ weeks

Hence, After 3 weeks they both will have the same amount in their savings account.

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