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ASHA 777 [7]
3 years ago
9

Translate the word phrase into a variable expression.the quotient of a number and 3 is decreased by 1.

Mathematics
1 answer:
ahrayia [7]3 years ago
4 0
 You are dividing a number (x) by three and then subtracting 1 like this.  (x/3)-1
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A gumball machine has just been filled with 50 black, 150 white, 100 red and 100 yellow gum balls that have been thoroughly mixe
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HELP PLEASE<br> Find 33/4 x 21/3. All answers must be in lowest terms
eimsori [14]

\frac{231}{4} ✅

<u>Step</u>-<u>by</u>-<u>step</u> <u>explanation</u>:

\frac{33}{4}  \times  \frac{21}{3} \\  =   \frac{11 \times 21}{4}  \\  =  \frac{231}{4}

<u>Note</u>:-

  • A fraction is said to be written in its lowest form if its numerator and denominator are prime, that is, they have no common factors other than 1.

\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}

6 0
2 years ago
14.
Charra [1.4K]

a. The number of square cm of paper that would be used to make 4 caps is 3154.56 cm².

b. For the cake to have the required dimensions, they should order 1 kg of cake.

a.

The number of square cm of paper that would be used to make 4 caps is 3154.56 cm².

To find the number of square cm paper would be used to make 4 caps, we need to find the area of a cone.

<h3>Area of a cone</h3>

The area of a cone, A = πr² + πr[√(h² + r²)] where

  • r = radius of cone and
  • h = height of cone

Now given that the base circumference of the cone is C = 44 cm. So,

C = 2πr where r = radius of base

So, r = C/2π = 44 cm/2π = 22 cm/3.142 = 7 cm

The height of the cone, h = 24 cm

So, A = πr² + πr[√(h² + r²)]

A = π(7 cm)² + π(7 cm)[√((24 cm)² + (7 cm)²)]

A = π(7 cm)² + π(7 cm)(7)[√((4 cm)² + (1 cm)²)]

A = 49π cm² + 49π cm[√(16 cm² + 1 cm²)]

A = 49π cm² + 49π cm[√(17 cm²)]

A = 49π [1 cm² + 4.123 cm²)]

A = 49π [5.123 cm²)]

A = 251.032π

A = 788.64 cm²

Since the area of one cap is A = 788.64 cm²,

the area of 4 caps is A' = 4A

= 4 × 788.64 cm²

= 3154.56 cm²

So, the number of square cm of paper that would be used to make 4 caps is 3154.56 cm².

b.

For the cake to have the required dimensions, they should order 1 kg of cake.

To find the amount of cake to be ordered, we need to find the volume of a cake since it is the volume of a cylinder.

<h3>Volume of a cylinder</h3>

The volume of a cylinder is V = πd²h/4 where

  • d = diameter of cake = 24 cm and
  • h = height of cake = 14 cm

Substituting the values of the variables into the equation, we have

V = πd²h/4

V = π(24 cm)²(14 cm)/4

V = π(576 cm)²(14 cm)/4

V = 8064π cm³/4

V = 2016π cm³

V = 6333.45 cm³

So the volume of the cake is 6333.45 cm³

Since 650 cm³ equals 100 g, 6333.45 cm³ = 6333.45 cm³ × 100 g/650 cm =  974.4 g = 0.974 kg ≅ 1 kg.

So, for the cake to have the required dimensions, they should order 1 kg of cake.

Learn more about volume of a cake here:

brainly.com/question/27570775

#SPJ1

5 0
1 year ago
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