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2 years ago

Order the following integers from least or greatest

Mathematics

1 answer:

mariarad [96]2 years ago

6 0

Answer:

Hope this helps!

Step-by-step explanation:

I'm going to do it from least to greatest:

A. -32, -15, 0, +11, +60

B. -29, -15, -12, 0, +81

Good Luck! $￣︶￣*$

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Heather has divided $5400 between two investments, one paying 8%, the other paying 5%. if the return on her investment is $

Phantasy [73]

Answer:

$2500 at 8%.

$2900 st 5%.

Step-by-step explanation:

Let x be the amount invested at rate of 8% and y be the amount invested at the rate of 5%.

We have been given that Heather has divided $5400 between two investments. We can represent this information as:

$x+y=5400...(1)$

The return on her investment is $345.

Earnings from the investment at 8% will be 8% of x.

Earnings from the investment at 5% will be 5% of y.

$(\frac{8}{100})x+(\frac{5}{100})y=345...(2)$

$0.08x+0.05y=345...(2)$

We will use substitution method to solve our system of equations. From equation (1) we will get,

$x=5400-y$

Substituting this value in equation (2) we will get,

$0.08(5400-y)+0.05y=345$

$432-0.08y+0.05y=345$

$-0.08y+0.05y=345-432$

$-0.03y=-87$

$\frac{-0.03y}{-0.03}=\frac{-87}{-0.03}$

$y=2900$

Therefore, Heather has invested an amount of $2900 at 5%.

Let us substitute y=2900 in equation (1) to solve for x.

$x+2900=5400$

$x+2900-2900=5400-2900$

$x=2500$

Therefore, Heather has invested an amount of $2500 at 8%.

6 0

3 years ago

IF U HELP ME I WILL GIVE U A COOKIE AND BRAINLIEST

Andrej [43]

Step-by-step explanation:

Hope it helps you in your learning process.

3 0

3 years ago

Read 2 more answers

A bag contains n blue and m red marbles. You randomly pick a marble from the bag, write down its color, and then put the marble

Oksana_A [137]

Answer:

(mn+n²)/(m+n)

Step-by-step explanation:

probability of blue marble= n/(n+m)

probability of red marble= m/(n+m)

probability that process stops = Probability of both blue + probability of both red= n/(n+m) × n/(n+m) + m/(n+m)×m/(n+m)

= (n²+m²)/(n+m)²

P(1st marbel is blue)= P(blue and red) + P(blue and blue)

= mn/(n+m) + n²/(n+m)

= (mn+n²)/(m+n)

P(1st marble is blue | process stops)= ( (mn+n²)/(m+n)× (n²+m²)/(n+m)²)/ ((n²+m²)/(n+m)²)

= (mn+n²)/(m+n)

3 0

3 years ago

A child 4 feet tall casts a shadow 6 feet

klio [65]

The Answer should be C) 40.5 feet

3 0

3 years ago

In the triangle above, the cosine of a is 0.8.What is sine of b?

Natalka [10]

Answer:

sin b = 0.8

Step-by-step explanation:

Since a and b are complementary angles , then

sin b = cos a = 0.8

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3 years ago