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4 years ago

8 times a number increased by 5 is the same as 17 more than 6 times the number

Mathematics

1 answer:

artcher [175]4 years ago

8 0

Answer:

$\\ let \: the \: unknown \: number \: be \: x \\ (8 \times x) + 5 = 17 + (6 \times x) \\ 8x + 5 = 17 + 6x \\ 8x - 6x = 17 - 5 \\ 2x = 12 \\ \frac{2x}{2} = \frac{12}{2} \\ x = 6$

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A pencil consists of a cone stacked on top of a cylinder. The diameter of the cylindrical base of the pencil is 10 mm and the he

11Alexandr11 [23.1K]

Answer:

790π

Step-by-step explanation:

We are given;

Diameter of cylinder;d = 10 mm

So, radius;r = 10/2 = 5 mm

Height of cylinder;h = 70mm

Surface area of cylinder is given by the formula; S.A = 2πr² + 2πrh

Plugging in the relevant values, we have;S.A = 2π(5)² + 2π(5)(70)

S.A = 50π + 700π

S.A = 750π

Now, because one base of the cylinder is hidden as the cone is stacked on that face, we will deduct the area of that base face;

Thus, Surface area = 750π - π(5)² = 750π - 25π = 725π

For the cone,

Height;h = 12mm

Since this is stacked directly on the cylinder, it will have the same radius. Thus; radius;r = 5mm

Now,formula for surface area of cone is;

S.A = πr² + πrL

Where L is slant height.

We can use pythagoras theorem to get L.

So, L² = r² + h²

L = √r² + h²

L = √(5² + 12²)

L = √(25 + 144)

L = √169

L = 13

So, S.A of cone = π(5)² + (π×5×13)

S.A = 25π + 65π = 90π

Similar to what was done to the Cylinder, since the circular base of the cone is stacked on the cylinder, we will deduct the surface area of that base as it is hidden.

So, S.A is now = 90π - π(5)²

= 90π - 25π = 65π

Thus,total surface area of the pencil = 725π + 65π = 790π

7 0

3 years ago

Read 2 more answers

The ratio of blue jays to Robin's was 6 to 7. If there were 84 Robins, how many blue jays were there?

Paul [167]

Answer:

Step-by-step explanation:

Since the ratio of blue jays to robin's was 6 to 7 then if there were 84 robins how many blue jays were there.

6 to 7 can also be express as 6/7

Thus, we can set up a proportion

6/7 = x/84

Now, we have to solve for x

x = 72

Hence, if there were 84 robin there would be 72 blue jays.

~lenvy~

3 0

2 years ago

Lexi2984 can u help me with this question

arsen [322]

9514 1404 393

Answer:

see the attachment

Step-by-step explanation:

The x- and y-intercepts are easily found:

X-intercept

Set y = 0 and divide by the coefficient of x.

-x +0 = 8

x = -8

Y-intercept

Set x = 0 and divide by the coefficient of y.

0 -2y = 8

y = -4

Now, we have two points on the graph: (-8, 0) and (0, -4). A third point can be one that is halfway between these: (-4, -2). The graph is attached.

7 0

3 years ago

What is the solution f/4 = 12/5

Ede4ka [16]

Answer:

f = 48/5

Step-by-step explanation:

5f = 12 * 4

5f = 48

f = 48/5

7 0

3 years ago

What's 4+8*2(1+3)=??

Assoli18 [71]

Answer:

Step-by-step explanation:first:4+8 then 12*2 after:24+4

7 0

3 years ago