In the triangle the length of side a is 5ft and measure of angle a is 60°.find the exact lengths of b and c

Ms. Flatau went to a garden shop and bought some potting soil for $17.50 and 4 shrubs. The total bill was $53.50. Write and solv

yKpoI14uk [10]

The equation would be (53.50-17.50)<span>÷4 because we need to subtract the potting soil, and since there are 4 shrubs, then you need to divide to get the total of one shrub. It could also be (s=shrubs) 4s + 17.50 = 53.50 and then solve for s. Now, let's solve it. 53.50-17.50=36. Now, divide 36 by 4, to get 9. So, each shrub cost $9. Hope this helped!</span>

8 0

2 years ago

Read 2 more answers

William has $12.80 in coins to be deposited in the bank. There are 3 times as many quarters as nickels and 20 more dimes than ni

Natali5045456 [20]

Let the number of nickels be = n

Let the number of dimes be = d

Let the number of quarter be = q

Total money William has = $12.80

As given, there are 3 times as many quarters as nickels

$q=3n$

And 20 more dimes than nickels

$d=20+n$

As total money is $12.80

$0.05n+0.10d+0.25q=12.80$

Putting the values of 'q' and 'd' to find 'n'

$0.05n+0.10(20+n)+0.25(3n)=12.80$

$0.05n+2+0.10n+0.75n=12.80$

$0.90n+2=12.80$

$0.90n=10.80$

$n=12$

Hence the number of nickels are = 12

If you want to also find dime and quarter, then

$q=3n=3\times12=36$

$d=20+n=20+12=32$

7 0

3 years ago

At a restaurant you only have 20 dollars to spend on dinner. in addition to the cost of the meal you must pay only 5% sales tax

aev [14]

Alright so to do this you need some basic algebra
you have to pay an extra 20% of whatever you buy
thus we can make the following equation
.2x+x=20 (since 20 is the amount of money you have)
combining the like terms,
1.2x=20
and finally, dividing both sides by 1.2
x=$16.67
don't forget to check!
.05*16.67=.83 (sales tax makes the total $17.5)
.15*16.67=2.5 (tip makes the total $20)
whaddya you know, it works!
most expensive item you can buy will cost $16.67
hope this helped!

4 0

2 years ago

What is 26/32 in simplest form

melomori [17]

13/16 I hope this helps.

5 0

3 years ago

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A college job placement office collected data about students’ GPAs and the salaries they earned in their first jobs after gradua

frez [133]

Answer:

X is the GPA

Y is the Salary

Standard deviation of X is 0.4

Standard deviation of Y is 8500

E(X)=2.9

E(Y)=47200

We are given that The correlation between the two variables was r = 0.72

a) $y = a+bx$

$b = \frac{\sum(x_i-\bar{x})(y_i-\bar{y})}{\sum(x_i-\bar{x})^2} = \frac{r \times \sqrt{var(X) \times Var(Y)}}{Var(X)} = \frac{0.72 \times \sqrt{0.4^2 \times 8500^2}}{0.4^2} = 15300$

$a=y-bx = 47200-(15300 \times 29) = 2830$

So, slope = 15300

Intercept = 2830

So, equation : $y = 2830+15300x$

b) Your brother just graduated from that college with a GPA of 3.30. He tells you that based on this model the residual for his pay is -$1880. What salary is he earning?

$y = 2830+15300 \times 3.3 = 53320$

Observed salary = Residual + predicted = -1860+53320 = 51440

c)) What proportion of the variation in salaries is explained by variation in GPA?

The proportion of the variation in salaries is explained by variation in GPA = $r^2 = (0.72)^2 =0.5184$

8 0

2 years ago