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2 years ago

Find two mixed numbers so that the sum is 16 and the difference is 5

2 answers:

4 0

See, pls, suggested decision:

If suppose, that 1-st number is 'x' and the 2-d is 'y', it is possible to make up system of equations:
$\left \{ {{x+y=16} \atop {x-y=5}} \right. \ =\ \textgreater \ \ \left \{ {{x=10.5} \atop {y=5.5}} \right.$

Murrr4er [49]2 years ago

3 0

10 1/2 and 5 1/2
Because 10+5=15 and 1/2+1/2=1
15+1 =16
10 1/2 - 5 1/2
10-5 =5 and 1/2 - 1/2=0
So the answers are 10 1/2 and 5 1/2

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A football is kicked toward an end zone with an initial vertical velocity of 30 ft/s. The function h(t) = -16+ 30t models the he

Ulleksa [173]

Answer:

A. The football does not reach a height of 15ft

Step-by-step explanation:

Given

$h(t) = -16t^2 + 30t$

Required

Determine which of the options is true

The option illustrates the height reached by the ball.

To solve this, we make use of maximum of a function

For a function f(x)

Such that:

$f(x) = ax^2 + bx + c$ :

$f(\frac{-b}{2a}) = maximum/minimum$

i.e we first solve for $\frac{-b}{2a}$

Then substitute $\frac{-b}{2a}$ for x in $f(x) = ax^2 + bx + c$

In our case:

First we need to solve $\frac{-b}{2a}$

Then substitute $\frac{-b}{2a}$ for t in $h(t) = -16t^2 + 30t$

By comparison:

$b = 30$

$c = -16$

$\frac{-b}{2a} = \frac{-30}{2 * -16}$

$\frac{-b}{2a} = \frac{-30}{-32}$

$\frac{-b}{2a} = \frac{30}{32}$

$\frac{-b}{2a} = \frac{15}{16}$

Substitute $\frac{15}{16}$ for t in $h(t) = -16t^2 + 30t$

$h(\frac{15}{16}) = -16(\frac{15}{16})^2 + 30(\frac{15}{16})$

$h(\frac{15}{16}) = -16(\frac{225}{256}) + \frac{450}{16}$

$h(\frac{15}{16}) = -(\frac{225}{16}) + \frac{450}{16}$

$h(\frac{15}{16}) = \frac{-225 + 450}{16}$

$h(\frac{15}{16}) = \frac{225}{16}$

$h(\frac{15}{16}) = 14.0625$

This implies that the maximum height reached is 14.0625ft.

So, the option that answers the question is A because $14.0625 < 15$

8 0

2 years ago

Two sections of a class took the same quiz. Section A had 15 students who had a mean score of 80, and section B had 20 students

faltersainse [42]

B, because when you add 90+80 you get 170 and 170/2 = 85

8 0

2 years ago

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PLEASE CHECK THIS WILL MARK BRAINLIEST

VikaD [51]

Answer:

This time all of them are right

I'm not writing this to achieve points, I have already actually check and read through it :D

Good work mate

Step-by-step explanation:

7 0

2 years ago

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What is the mean for this list of numbers? 13, 26, 33, 45

olasank [31]

The mean is <span>29.25 but you need to round it so it would be 30 hope it helps <3</span>

4 0

2 years ago

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5. Guests are given a random goodie bag at a party. There are less than 15 bags, but more than 8. Part A: How many bags were pre

Artemon [7]

Answer:

12 bags

Step-by-step explanation:

Number of the bags = between 8 and 15 and

1/2 of bags contain money
1/6 of bags contain candy
1/3 of bags contain a toy

As per above the number is divisible by 2, 3 and 6. LCM of the three numbers is 6.

<u> The number between 8 and 15 and divisible by 6:</u>

This number is 6*2 = 12

So the number of bags is 12

4 0

3 years ago