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3 years ago

Write an inequality for the following situation: No more than 5 books are in your backpack.

Mathematics

1 answer:

Nadusha1986 [10]3 years ago

4 0

Answer:

X < 5

Step-by-step explanation:

So when they say 'no more than' its basically like 'less than or equal to' which means that it could be less than 5 or equal to 5 but just be careful when the question says 'at least' because that means 'greater than or equal' so here you could write a number that's greater than (number) or equal to (number)

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The area of a desk top is 8 ¾ square feet. If the length is 3 ½ft., find the width.

kirill [66]

Area is calculated as length times width.
A = lw
Is the area and length are known, then you can plug in their values and isolate w to find the width.
I find it easiest to convert to decimals rather than using mixed numbers.
8 ¾ = 8.75 (area)
3 ½ = 3.5 (length)
Now let's plug in the values.
8.75 = 3.5w
To isolate w, just divide both sides by 3.5.
8.75 / 3.5 = 2.5
This means w = 2.5.
So the width is 2.5 feet.
Now convert the decimal back to a mixed number.
2.5 = 2 ½

So the answer to this question is that the width is 2.5, or 2 ½.

Hope this helps!

4 0

3 years ago

The angle of elevation from a soccer ball on the ground to the top of the goal is 34. If the goal is 8 feet tall, What is the di

damaskus [11]

Answer:

The distance from he ball to the goal is 11.85 feet (Approx) .

Step-by-step explanation:

As given

The angle of elevation from a soccer ball on the ground to the top of the goal is 34° .

If the goal is 8 feet tall.

Now by using the trigonometric identity .

$tan \theta = \frac{Perpendicular}{Base}$

As shown in the diagram given below

$\theta = 34^{\circ}$

Perpendicular = AB = 8 feet

Base = BC

Put all the values in the identity .

$tan\ 34^{\circ} = \frac{AB}{BC}$

$tan\ 34^{\circ} = \frac{8}{BC}$

$tan\ 34^{\circ} = 0.675\ (Approx)$

$BC = \frac{8}{0.675}$

BC = 11.85 feet (Approx)

Therefore the distance from he ball to the goal is 11.85 feet (Approx) .

5 0

3 years ago

Solve the following system of equations algebraically: y = 3x2 – 12x + 16 y = -x + 6

FrozenT [24]

Answer:

x=2

y=4

Step-by-step explanation:

Explanation is in picture

8 0

4 years ago

Mr garcia is at Dunkin' Donuts .he has 17.50 in his pocket , and he buys an sandwich for $2.50 and 5 coffees ,using cash . Write

nirvana33 [79]

Answer:

He can buy 4 coffees

Step-by-step explanation:

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2 years ago