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bearhunter [10]
3 years ago
11

If 3 is added to a number and multiplied the result by 5 gives 55 what is the number​

Mathematics
1 answer:
MakcuM [25]3 years ago
6 0

Answer:24

Step-by-step explanation:Let the number we seek be X.

We are Given:

1). (5X+3 ) x (2) = 30

Expand and Rearrange.

(10X +6 ) = 30.

10X = 24.

2). X equals 2.4 . This is the answer for the number we seek.

Always check the answer.

This is Good Working Practice ALWAYS.

For Exams or similar remember:

Presentation (Neat & Tidy), Method & Layout (Show you understand), Accuracy.

All these count in most exams.

The first two points help greatly if your Answer is in error, but your METHOD Is CLEAR & CORECT.

Similarly, if the Check is wrong, mention this, but also, if the case, mention e.g. time ran out .. You may be credited as AWARE if your presentation and Method show you understood what to do and why.

CHECK: Substitute the answer for X into the original equation 1).

Equn. 1). (5X +3)*2 = 30.

Put in the value for X. Expand & Re-arrange.

(( 5 ).( 2.4 ) + ( 3 ).( 2 ) = 30.

( 12 + 6 ) = 30.

24 = 24. Checked & Agreed.

That’s about it.

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The ratio of the volume of two cubes is 216 to 64. What is the ratio of their surface/
Elan Coil [88]
The volume of a cube is V=s^3, so s=V^(1/3).

The area of a cube is A=6s^2, using s found above we have:

A=6(V^(2/3))

Let V and S be the volume and area of the larger and v and s be the volume and area of the smaller cube.

A:a

6(V^(2/3)):6(v^(2/3))

V^(2/3):v^(2/3), we are given that V=216 and v=64 so

216^(2/3):64^(2/3)

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5 0
3 years ago
What is the length of the arc shown in​ red?
professor190 [17]

Answer:

≈ 18.8 cm

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

The central angle is equal to the arc subtending it, that is 60°

  arc = 2πr × \frac{60}{360}

        = 2π × 18 × \frac{1}{6}

        = 36π × \frac{1}{6}

        = 6π ≈ 18.8 cm ( to 1 dec. place )

3 0
3 years ago
Helen has 48 cubic inches of clay to make a solid square right pyramid with a base edge measuring 6 inches. Which is the slant h
Nikitich [7]

Answer: 5 inches


Step-by-step explanation:

Given: Volume of clay = 48 cubic inches

If we make a solid square right pyramid with a base edge a= 6 inches.

Then its base area = a^2=6^2=36\ inches^2

we know that volume of square right pyramid=\frac{1}{3}\times\ a^2h

Therefore, volume of square right pyramid made by all of clay=\frac{1}{3}\times\ a^2h=48 cubic inches

\Rightarrow\frac{1}{3}\times\ (36)\times\ h=48\\\Rightarrow12h=48\\\Rightarrow\ h=4\ inches.....\text{[Divide 12 on both sides]}

Now, slant height l=\sqrt{(\frac{a}{2})^2+h^2}

\\\Rightarrow\ l=\sqrt{3^2+4^2}\\\Rightarrow\ l=\sqrt{9+16}\\\rightarrow\ l=\sqrt{25}\\\Rightarrow\ l=5

The slant height of the pyramid if Helen uses all the clay=5 inches

5 0
3 years ago
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