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Andre45 [30]
3 years ago
15

Questão 02 - Carlos e sua mãe têm juntos atualmente 47 anos. Sabendo que sua mãe ganhou Carlos aos 23 anos, a equação que repres

enta a soma da idade de Carlos com sua mãe é: * (A) 2x = 47. (B) x + 23 = 47. (C) 2x + 47 = 23. (D) x + 2 = 23. (E) 2x + 23 = 47
Mathematics
1 answer:
mariarad [96]3 years ago
8 0

Answer:

x+23 = 47

Step-by-step explanation:

Let age of Carlos is x. It is mentioned that the sum of age of Carlos and his mother is 47 years old. Age of Carlos is 23.

We need to find the equation that represents the sum of Carlos' age with his mother.

x+23 = 47 is the required equation.

Also, we can find the age of Carlos as :

x = 47 - 23

= 24 years

Hence, the correct option is (B).

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4 workers can make 32 widgets in an hour. How many widgets can 5 workers make in 90 minutes?
Aleonysh [2.5K]

Answer:5 worker can 60 widget in 90 minutes.

6 0
3 years ago
Will upvote
shepuryov [24]
\frac{a^{12}b^{8}}{a^{2}b^{4}}



remember
(ab)/(cd)=a/c times b/d

also \frac{x^{m}}{x^{n}}= x^{m-n}

split it up with like terms

\frac{a^{12}}{a^{2}} times \frac{b^{8}}{b^{4}}

do subtraction
for a's
12-2=10

b's
8-4=4

answe is a^{10}b^{4}

first one

5 0
3 years ago
Read 2 more answers
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
the hamburger shop sells 500 sandwiches each day. They sell 100 more hamburgers than they do chicken sanwhiches.
mote1985 [20]
If the question is how many hamburgers do they sell per day, then the answer would be 600. If not, then it is hard to answer a statement.
8 0
3 years ago
Read 2 more answers
3. d-6 = -10<br> 4. m-14=-17<br> 5. w-23=59<br> 6. x-57= -15<br> 7. x-31= -7<br> 8. x + 51= -9
SVEN [57.7K]

Answer: 3. d= -4    , 4. m= -3  , 5. w= 82 , 6. x=42 , 7. x=24 , 8. x= -60

Step-by-step explanation:

3. Step 1: Add 6 to both sides.

d−6+6=−10+6

d=−4

4. Step 1: Add 14 to both sides.

m−14+14=−17+14

m=−3

5. Step 1: Add 23 to both sides.

w-23+23=59 + 23

w= 82

Continue to repeat the step for the other ones. If there is a positive then subtract on both sides!

4 0
3 years ago
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