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3 years ago

1/3 + a = 5/4 What does the a equal?

Mathematics

2 answers:

liraira [26]3 years ago

8 0

Answer:

$a = \frac{11}{12}$

Step-by-step explanation:

In order to find the value of a we just solve the equation as follows....

$\frac{1}{3} + a = \frac{5}{4} \\$

$a = \frac{5}{4} - \frac{1}{3}$

$a = \frac{15}{12} - \frac{4}{12}$

$a = \frac{11}{12}$

alekssr [168]3 years ago

4 0

Answer:

1/3 + a = 5/4 = 4/15

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1 year ago

During halftime of a football game a slingshot launches T-shirts at the crowd a T-shirt is launched from a height of 6 feet with

lesantik [10]

Answer:

2.25 seconds

87 feet

[6, 87]

Step-by-step explanation:

The height of a projectile is:

h(t) = -16t² + vt + s

where v is the initial vertical velocity and s is the initial height.

Here, v = 72 and s = 6.

h(t) = -16t² + 72t + 6

This is a downwards parabola. The maximum is at the vertex.

t = -b / (2a)

t = -72 / (2×-16)

t = 2.25

h(2.25) = 87

It takes 2.25 seconds to reach the maximum height of 87 feet.

The range is from the lowest height (6 feet) to the maximum height (87 feet). In interval notation:

[6, 87]

5 0

4 years ago

A counter top is 18 feet long and 3 feet wide. What is the area of the counter top in square meters? Use the conversion 1 foot =

podryga [215]

Answer:

Area of the counter top is $5.02\ m^2$ .

Step-by-step explanation:

Given:

Length of the Counter top = 18 feet

Width of the counter top = 3 feet

We need to find the area of the counter top is square meter;

Solution:

Now we need to find the area of the counter top is square meter.

But given data is in feet so we will first convert feet into meters.

1 foot = 0.305 meter.

So 18 feet = Number of meters in 18 feet.

By Using Unitary method we get;

Number of meters in 18 feet = $18\times 0.305 = 5.49\ m$

Length of the Counter top = 5.49 m

Also 3 feet = Number of meters in 3 feet.

Again Using Unitary method we get;

Number of meters in 3 feet = $3\times 0.305 = 0.915\ m$

Width of the counter top = 0.915 m

Now we know that;

Area of the counter top can be calculated by multiplying Length of the counter top with width of the counter top.

framing in equation form we get;

Area of the counter top = $5.49\times 0.915 = 5.0233\ m^2$

Rounding up to 2 decimals we get;

Area of the counter top = $5.02\ m^2$

Hence Area of the counter top is $5.02\ m^2$ .

3 0

4 years ago