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Jobisdone [24]
3 years ago
10

Can the sum of two mixed numbers be equal to 2? Explain why or why not.

Mathematics
1 answer:
Vesna [10]3 years ago
6 0

-- A "mixed number" is (a whole number) plus (a fraction).

-- Two mixed numbers = (two whole numbers) and (two fractions).

-- The smallest whole number is ' 1', so when you add up all of that,
the smallest possible sum is      (2) plus (two fractions).

-- So the sum must always be greater than  2 .

============================================

<em>THAT'S IF BOTH MIXED NUMBERS ARE POSITIVE </em>.

<em>If one of them is negative</em>, then it's easy to do:

(3 and 1/2) + negative (1 and 1/2) = <u>2</u>

(25 and 7/10) + negative (23 and 7/10) = <u>2</u>


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A golfer attempts to hit a golf ball over a valley from a platform above the groun
leonid [27]

Answer: NO

Step-by-step explanation:

The functions that models the height of the ball is given as

h(t) = -5t2 + 40t + 100

Where

a = -5, b = 40, c = 100

The time the ball will reach the maximum height will be the vertex of the parabola. At the line of symmetry, the time t will be:

t = -b/2a

Substitute b and a into the formula above.

t = - 40 / -5 = 8

Substitute 8 for t in the function f(t)

h(t) = - 5(8)^2 + 40(8) + 100

h(t) = -5(64) + 40(8) + 100

Open the bracket

h(t) = -320 + 320 + 100

h(t) = 100

The maximum height of the ball is 100m

Given that the power lines is 185 metres above the ground. The golf ball will therefore not hit power lines because the maximum height the ball can go is 100 metres

3 0
3 years ago
Beginning from a depth of 35 ft below the surface, a whale swims upward and jumps to a height of nearly 17 feet above the surfac
Shtirlitz [24]

Answer: there is a proplem in here

oi

Step-by-step explanation:

6 0
3 years ago
The cost of 4 pounds of bananas is $1.88. What is the constant of proportionality that relates the cost in dollars, y, to the nu
aniked [119]

Answer:

  47 cent per banana

5 0
3 years ago
Read 2 more answers
If you go out to eat with 3 friends and your meal was $72.50, what should you leave for gratuninty if you want to tip your waite
kvv77 [185]

Answer:

$10.88 or round up to $11

Step-by-step explanation:

Since 15 is expressed as a percent, you can convert it to a decimal.

.15, which can also be 15/100 if you were to write it as a fraction.

You are trying to find 15% of 72.50 so you would need to multiply your new decimal (.15) to your meal total. This will give you 10.875 or 10.88.

5 0
3 years ago
A line passes through the points (2,4) and (5,6) .
Alenkinab [10]

Answer:

Option B and D are correct.

Step-by-step explanation:

Given: A line passes through the points (2,4) and (5,6).

* Case 1:

If a line passes through the points (2, 4) and (5, 6)

Point slope intercept form:

for any two points (x_1,y_1) and (x_2, y_2)

then the general form y -y_1=m(x-x_1) for linear equations where m is the slope given by:

m =\frac{y_2-y_1}{x_2-x_1}

First calculate slope for the points (2, 4) and (5, 6);

m = \frac{y_2-y_1}{x_2-x_1} =\frac{6-4}{5-2} = \frac{2}{3}

then, by point slope intercept form;

y-4=\frac{2}{3}(x-2)

* Case 2:

If a line passes through the points (5, 6) and (2, 4)

First calculate slope for the points (5, 6) and (2, 4);

m = \frac{y_2-y_1}{x_2-x_1} =\frac{4-6}{2-5} = \frac{-2}{-3}= \frac{2}{3}

then, by point slope intercept form;

y-6=\frac{2}{3}(x-5)

Yes, the only equation of line from the given options  which describes the given line are;

y-4=\frac{2}{3}(x-2)  and y-6=\frac{2}{3}(x-5)



8 0
4 years ago
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