The sum of three consecutive integers is 132. What are the three integers?

Mathematics

1 answer:

max2010maxim [7]2 years ago

6 0

Answer:

The integers are 43, 44 and 45

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Austin goes to a trade show that sells reptiles. There is a $5.00 entrance fee. He visited a booth that sold geckos for $35 each

vivado [14]

The answer is D because 35x3 is 105 + the $5 fee is 110

7 0

3 years ago

1. Marisol is preparing a care package to send to her brother. The package will include a board game that weighs 4 pounds and se

Sladkaya [172]

The content of care package would be a board game and several snack packs.

Given is the weight of board game = 4 pounds.

The weight of one snack pack = $\frac{1}{2} \;pounds = 0.5 \;pounds$

The total weight would be less than 25 pounds.

Solving for part A :

Let 'x' represents the number of snack packs.

So the weight of all snack packs would be 0.5x pounds.

Now weight of care pack = weight of board game + weight of all snack packs.

weight of care pack = 4 + 0.5x

But total weight must be less than 25 pounds.

So the inequality would be: 4 + 0.5x < 25

Solving for part B :

Solving the inequality 4 + 0.5x < 25

⇒ 4 + 0.5x - 4 < 25 - 4

⇒ 0.5x < 21

⇒ x < 42

Solving for part C :

Since x < 42 and x is an integer number, so x = 41.

She can include maximum of 41 snack packs in the care package.

7 0

3 years ago

Help !!!!!!!!!!!!!!!!

umka2103 [35]

Answer:

13) 8.6

Step-by-step explanation:

To find the side length, use a trig function to solve for x.

You have the adjacent side and hypotenuse to the angle. Use the cosine function since its ratio is adjacent over hypotenuse.

This means Cos 52 = x / 14. Solve for x.

Cos 52 = x / 14

14* Cos 52 = x

8.6 = x

4 0

3 years ago

If an 8-foot ladder is leaned against a wall with its foot braced 4 feet from the wall's base, how far up the wall will the top

vivado [14]

We know that
see the picture to better understand the problem
in the right triangle ABC
Applying the Pythagoras Theorem
AB²=BC²+AC²-------> BC²=AB²-AC²
AB=8 ft
AC=4 ft
BC²=8²-4²-----> BC²=48--------> BC=√48-------> BC=6.93 ft

the answer is
6.93 ft