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3 years ago

Three times the sum of some number plus 2 is equal to 6 times the number minus 15.

Mathematics

1 answer:

Levart [38]3 years ago

4 0

Answer:

x=7

Step-by-step explanation:

3(x+2) = 6x-15.

3x+6 = 6x-15

3x = 6x-21

-3x = -21

x = 7

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Students arrived at the science museum at 1:15 P.M. They stayed at the museum for

Diano4ka-milaya [45]

Answer: A. O 3:06 P.M.

Step-by-step explanation: 1:15+2 hours=3:15 3:15+51 mins=3:06

3 0

3 years ago

Read 2 more answers

Water is leaking out of an inverted conical tank at a rate of 6800.0 cubic centimeters per min at the same time that water is be

m_a_m_a [10]

Answer:

6.82 $mt^3/min$

Step-by-step explanation:

By congruence of triangles, the radius r of the cone base when its height is 1 meter satisfies the relation

r/1 = 2.5/6

(See picture attached)

So, r = 0.4166 meters when the water is 1 meter high.

The volume of a cone with radius of the base = R is given by

$V=\frac{\pi R^2h}{3}$

So, the volume of water when it is 1 meter high is

$V=\frac{\pi* 0.(4166)^2}{3}=0.1817\;mt^3$

One minute later, the height of the water is 1 meter + 30 centimeters = 1.30 mt

The radius now satisfies

r/1.3 = 2.5/6

and now the radius of the base is

r = 0.5416 mt

and the new volume of water is $0.3071\;mt^3$

So, the water is raising at a speed of

0.3071-0.1871 = 0.12 $mt^3/min$

This speed equals the difference between the water being pumped and the water leaking,

So,

<em>0.12 = Speed of water being pumped -6.8 </em>

and

Speed of water being pumped = 6.8+0.12 = 6.82 $mt^3/min$

8 0

3 years ago

Given the venn diagram, find P(brother and sister)

LUCKY_DIMON [66]

Based on the venn diagram of siblings, the probability of having a brother and sister is c. 0.33.

<h3>What is the probability of brother and sister?</h3>

The probability of having a brother and sister can be found as:

= Number of those with brother and sister / Total number of people in poll

Solving gives:

= 10 / (8 + 10 + 5 + 7)

= 10 / 30

= 0.33

In conclusion, the probability of having a brother and sister is 0.33.

Find out more on Venn diagrams at brainly.com/question/9085273

#SPJ1

6 0

2 years ago

Determine the next 3 terms after : 1 , -2 , 3 , -4 , 5

baherus [9]

<h3>Answer: -6, 7, -8</h3>

Start with the sequence {1, 2, 3, 4, 5, 6, 7, 8, ...}

Then change the sign of every other term so you'll have the first term positive, the second term negative, and so on.

That updates to {1, -2, 3, -4, 5, -6, 7, -8, ...}

Every odd term (1,3,5,..) is positive while every even term (-2,-4,-6) is negative.

4 0

3 years ago

Write <, >, or = to make the statement true : .293 ___ .29

JulsSmile [24]

If you add a zero to the end of .29 it becomes .290
So, the answer is .293 > .29

7 0

3 years ago