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3 years ago

Five times the sum of 3 and twice some numbers is 70. What is the number?

1 answer:

8 0

Let x represent some number
Sum of 3 and twice some number = 3 +2x
Five times the sum of 3 and twice some number: 5(3+2x)

5(3+2x)=70
15+10x=70
Subtract 15 from both sides to have 10x by itself
10x=55
Divide 10 on both sides to get x by itself
x=55/10
x=5.5

Hope this helped

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Fill in each of the missing parts of the hierarchy of the quadrilaterals. Include the properties of each of the figures.

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Answer:

I just edited the file you linked.

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2 years ago

For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 18 N acts on

inysia [295]

Answer: $F=15N$

Step-by-step explanation:

1. You know that the force acting on the object varies directly with the object's acceleration. Then, by definition, you have:

$F=ka$

Where $F$ is the force acting on the object, $a$ is the object's acceleration and $k$ is the constant of proportionality.

2. Keeping this on mind, you can calculate the constant of proportionality by substituting $F=18$ and $a=6$ into the equation and solving for $k$ :

$18=k6\\k=\frac{18}{6}\\k=3$

3. Now, you can calculate the force when the acceleration of the object becomes 5 m/s², as following:

$F=3(5)\\F=15$

3. The result is:

$F=15N$

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3 years ago

Help me out important!!!!!!!

Oliga [24]

Answer:

This might help:

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3 years ago

An elementary school is offering 3 language classes: one in Spanish, one in French,and one in German. The classes are open to an

Alona [7]

Answer:

A. 0.5

B. 0.32

C. 0.75

Step-by-step explanation:

There are

28 students in the Spanish class,
26 in the French class,
16 in the German class,
12 students that are in both Spanish and French,
4 that are in both Spanish and German,
6 that are in both French and German,
2 students taking all 3 classes.

So,

2 students taking all 3 classes,
6 - 2 = 4 students are in French and German, bu are not in Spanish,
4 - 2 = 2 students are in Spanish and German, but are not in French,
12 - 2 = 10 students are in Spanish and French but are not in German,
16 - 2 - 4 - 2 = 8 students are only in German,
26 - 2 - 4 - 10 = 10 students are only in French,
28 - 2 - 2 - 10 = 14 students are only in Spanish.

In total, there are

2 + 4 + 2 + 10 + 8 + 10 +14 = 50 students.

The classes are open to any of the 100 students in the school, so

100 - 50 = 50 students are not in any of the languages classes.

A. If a student is chosen randomly, the probability that he or she is not in any of the language classes is

$\dfrac{50}{100} =0.5$

B. If a student is chosen randomly, the probability that he or she is taking exactly one language class is

$\dfrac{8+10+14}{100}=0.32$

C. If 2 students are chosen randomly, the probability that both are not taking any language classes is

$0.5\cdot 0.5=0.25$

So, the probability that at least 1 is taking a language class is

$1-0.25=0.75$

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3 years ago

Dennis stood on a 9 foot ladder to measure the sunflower. How much taller is the tallest sunflower than the ladder?

Shalnov [3]

Answer:

See Explanation

Step-by-step explanation:

Given

$Ladder = 9ft$

$Tallest\ Sunflower = x$

Required

How much taller is the tallest

To get this, we simply calculate the difference between the height of the tallest sunflower and the ladder.

i.e.

$Difference = Tallest\ Sunflower - Ladder$

$Difference = x - 9$

-----------------------------------------------------------------------------------------------------

If for instance, the tallest is 13ft, then it is 4ft taller.

Because:

$Difference = 13ft - 9ft$

$Difference = 4ft$

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3 years ago