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3 years ago

10

a shipping company delivered 38728 letters and 41584 packages. write and solve an equation to find how many items the company de

livered.

1 answer:

kolbaska11 [484]3 years ago

7 0

38,728 + 41,584 = 80,312

The company delivered 80,312 items.

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Martin throws a ball straight up in the air. the equation h(t) = -16t^2 + 40t + 5 gives the height of the ball, in feet, t secon

Lisa [10]

Answer:

2.62 seconds

Step-by-step explanation:

Let

t ----> the time in seconds

h(t) ----> he height of the ball, in feet

we have

$h(t)=-16t^2+40t+5$

we know that

When the ball hits the ground, the height is equal to zero

so

$-16t^2+40t+5=0$

The formula to solve a quadratic equation of the form

$at^{2} +bt+c=0$

is equal to

$t=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-16t^2+40t+5=0$

so

$a=-16\\b=40\\c=5$

substitute in the formula

$t=\frac{-40\pm\sqrt{40^{2}-4(-16)(5)}} {2(-16)}$

$t=\frac{-40\pm\sqrt{1,920}} {-32}$

$t=\frac{-40+\sqrt{1,920}} {-32}=-0.12\ sec$

$t=\frac{-40-\sqrt{1,920}} {-32}=2.62\ sec$

therefore

The solution is t=2.62 seconds

4 0

3 years ago

It takes Carl 2/3 of an hour to clean his room every day.How many hours did he spend cleaning his room in the month of May?

MrMuchimi

20 2/3 hrs or 20 hours and 40 minutes cleaning his room. There are 30 months in may, so you multiply this by 2/3 to get 20 2/3 hrs

7 0

4 years ago

Read 2 more answers

Nancy and bill collect coins. Nancy has x coins. Bill has 6 coins fewer than times the number of coins nancy has. Write and simp

tino4ka555 [31]

Answer:

Total number of coins Nancy and bill have = 6x - 5

Step-by-step explanation:

Nancy and bill collect coins. Nancy has x coins. Bill has 5 coins fewer than five times the number of coins Nancy has. Write and simplify an expression for the total number of coins Nancy and bill have . Simplify your answer .

Let

Number of Nancy's coins = x

Number of Bill's coins = 5x - 5

Total number of coins Nancy and bill have = Number of Nancy's coins + Number of Bill's coins

= x + (5x - 5)

= x + 5x - 5

= 6x - 5

Total number of coins Nancy and bill have = 6x - 5

6 0

3 years ago

1) When the plumber comes to my house to fix the leaky faucet, he charges a flat rate of

Travka [436]

Answer:

3 hours

Step-by-step explanation:

To find the number of hours the plumber was at the house, we need to solve for x.

22x + 50 = 116

22x = 116 - 50

22x = 66

22x/22 = 66/22

x = 3

4 0

3 years ago

Read 2 more answers

F(x) = x2 + 1 g(x) = 5 – x<br><br> (f + g)(x) =

Gnom [1K]

Answer:

$(f + g)(x) = {x}^{2} - x + 6$

Step-by-step explanation:

We have

$f(x) = {x}^{2} + 1$

and

$g(x) = 5 - x$

We want to find (f+g)(x).

By the algebraic properties of polynomial functions,

$(f + g)(x) = f(x) + g(x)$

$(f + g)(x) = {x}^{2} + 1 + 5 - x$

This simplifies to

$(f + g)(x) = {x}^{2} - x + 6$

We can't simplify further, hence the simplest form

4 0

4 years ago