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3 years ago

Two more than the product of a number and 6 is equal to 5.

Mathematics

1 answer:

8090 [49]3 years ago

8 0

Answer:

b = 1/2

Step-by-step explanation:

6x + 2 = 5

6x = 3

x = 1/2

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Dwayne scored 55 points in the last basketball game, which is 10 points more than his previous personal best. Lebron scored 15 p

spin [16.1K]

Answer: a) 30, b) 120

Step-by-step explanation:

Since we have given that

Let the number of points Scored by Dwayne be 'd'.

Number of points in the last basket ball game = 55 points

According to question, we get that

$d+10=55\\\\d=55-10\\\\d=45$

Let the number of points that Chris's score be 'c'.

Number of points Lebron scored = 45

According to question, number of points scored by Chris is given by

$c+15=45\\\\c=45-15\\\\c=30$

a. How many points did Chris score during the game?

c = 30

b. If these are the only three players who scored, what was the team’s total number of points at the end of the game?

$45+45+30=90+30\\\\=120$

Hence, a) 30, b) 120

5 0

3 years ago

webassign If a snowball melts so that its surface area decreases at a rate of 6 cm2/min, find the rate at which the diameter dec

drek231 [11]

Answer:

The answer is $\frac{3}{10\pi } cm/min$

Step-by-step explanation:

Assuming the snowball is a perfect sphere, then if A denotes the surface area and D the diameter then:

$A=4\pi r^{2} = 4\pi (\frac{D}{2} )^{2} =\pi D^{2}$

Differentiating wrt r we have:

$\frac{dA}{dD} =2\pi D$

We are told that $\frac{dA}{dt}= -6$ and we want to find $\frac{dD}{dt}$

By the chain rule we have:

$\frac{dA}{dD}=\frac{dA}{dt}.\frac{dt}{dD}=\frac{\frac{dA}{dt} }{\frac{dD}{dt} }$

∴ $2\pi D=-\frac{6}{\frac{dD}{dt} }$

∴ $\frac{dD}{dt}=-\frac{6}{2\pi D}$

When D=10 then

$\frac{dD}{dt} =-\frac{6}{10*2\pi } =-\frac{3}{10\pi }$

The sign (-) shows that the D is decreasing.

3 0

3 years ago

Find the volume of the cone of with a height of 6cm and a diameter of the base or 6cm

Ainat [17]

Answer:

The volume of cone v= 113.04 cm³.

Step-by-step explanation:

Formula used to find volume of cone is:

$v= \pi * r^2 * \frac{h}{3}$

where r is the radius and h is the height of cone.

In the given question we are given:

height h= 6 cm

diameter d= 6 cm

We know radius r = d/2 = 6/2 = 3 cm

so, volume will be:

$v= \pi * 6^2 * \frac{3}{3}$

$v= \pi * 36$

$v=113.04$

So, the volume of cone v= 113.04 cm³ given height h= 6cm and radius r= 3cm

7 0

3 years ago

a teacher awarded 50 marks to his least student in a class test. How many marks was awarded to the best student if he was 40% be

LenaWriter [7]

Answer:

90 marks per that student

4 0

2 years ago

T' is (6, 6) what is the scale factor of the dilation

Colt1911 [192]

Is this all the information that you have

5 0

2 years ago