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3 years ago

There are 32 forwards and 80 guards in Leo's basketball league.

Mathematics

2 answers:

Alex17521 [72]3 years ago

5 0

Answer:

Step-by-step explanation:

harina [27]3 years ago

4 0

honestly I think that if Leo included each forward to be equal then it would be 2.5 difference on each team

im not one 100 on this but I think that each forward was raised to be equal at 2.5

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Sarah has a collection of nickels, dimes, and quarters worth $28.75. She has 10 more dimes than nickels and twice as many quarte

Ymorist [56]

Answer:

Step-by-step explanation:

Write an equation for each statement:

"Sarah has a collection of nickels, dimes, and quarters worth $15.75."

.05n + .1d + .25q = 15.75

"She has 10 more dimes than nickels"

d = n + 10

"twice as many quarters as dimes."

q = 2d

How many coins of each kind does she have?

Take the 2nd equation and arrange it so n is in terms of d also

n + 10 = d

n = (d - 10)

In the 1st equation substitute (d-10) for n and 2d for q:

.05n + .1d + .25q = 15.75

.05(d-10) + .1d + .25(2d) = 15.75

.05d - .5 + .1d + .5d = 15.75

.65d - .5 = 15.75

.65d = 15.75 + .5

.65d = 16.25

d = 16.25/.65

d = 25 dimes

Remember the statement "twice as many quarters as dimes."

q = 2(25)

q = 50 quarters

The statement "She has 10 more dimes than nickels"

n = 25 - 10

n - 15 nickels

Check our solutions

.05(15) + .1(25) + .25(50) =

.75 + 2.50 + 12.50 = 15.75 proves our solutions

8 0

2 years ago

The function Q(x)=2x^2-kx+18. For what value of k does Q(x) have one distinct real solution? (NEEDS TO BE DONE WITHIN 2 HOURS!)

Aliun [14]

Answer:

k = 12

Step-by-step explanation:

Given:

The equation $Q(x)=2x^2-kx+18$

To find:

Value of $k = ?$ for which the given equation has one distinct real solution.

Solution:

The given equation is a quadratic equation.

There are always two solutions of a quadratic equation.

For the equation: $ax^{2} +bx+c=0$ to have one distinct solution:

$b^2 - 4ac = 0$

Here,

a = 2,

b = -k and

c = 18

Putting the values, we get:

$(-k)^2 - 4\times 2\times 18 = 0\\\Rightarrow k^2 = 18\times 8\\\Rightarrow k^2 =144\\\Rightarrow k = 12$

The equation becomes:

$Q(x)=2x^2-12x+18$

And the one root is:

$2(x^2-6x+9 ) = 0\\\Rightarrow 2(x-3)^2=0\\\Rightarrow x = 3$

4 0

3 years ago

16 larger than the product of a and b

leva [86]

A(b)+16 = 16 larger than the product of a and b.

7 0

3 years ago

Read 2 more answers

I need to increase the number of customers by 20% daily, I talk to an average of 8 customers per hour during an 8 hour shift so

MA_775_DIABLO [31]

Before we figure out how many customers you will need to talk per day to reach your goal, let's calculate what is 20% of how many customers you normally talk to a day.

current no. = 8

goal = 8 + 20%

20% = 8 x 0.20

(a percent is really just a fraction with the percent number over 100)

20% = 1.60

goal = 8 + 1.60

goal = 9.60

However, there is no such thing as .60 of a person so we will have to round up. You will need to talk to 10 customers per day.

6 0

3 years ago

Read 2 more answers

In a vegetable garden,1/4 of the plants are peppers. of the pepper plants ,1/3 are yellow peppers. what fraction of the plants a

max2010maxim [7]

Given that 1/4 of the plants in the garden are peppers, and 1/3 of the 1/4 pepper plants are yellow peppers, we could get the fraction of the yellow peppers by multiplying 1/4 by 1/3. And we get the answer 1/12. Therefore, 1/12 is the fraction of yellow peppers.

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3 years ago