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GREYUIT [131]
3 years ago
6

You and three friends are eating a pizza with 12 pieces. Each person eats the same number of pieces. Let x represent the number

of pieces each person eats. Which of the following equations is an algebraic model for the situation?
a. 3x= 12
b. 1/3x=12x
c. 4x =12
d. 1/4x=12
Mathematics
1 answer:
Setler [38]3 years ago
6 0

Answer:

C. 4x = 12

Step-by-step explanation:

You and three friends= you + 3 friends=4 people

Pizza= 12 pieces

Each person eats equal pieces of pizza

x= number of pieces each person ate

Equation

4x=12

Divide both sides by 4

x=12/4

=3

x=3

Therefore, each person ate 3 pieces of pizza each

Check:

4x=12

4(3)=12

12=12

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Problem ID: PRABK2AZ
Vaselesa [24]

Answer: f(n+1) = 3 f(n)

Step-by-step explanation:

  • A recursive formula is used to determine each term of a sequence using preceding term or terms.

Given sequence : 2.5, 7.5, 22.5, 67.5, 202.5,...

Here,

2.5\times 3=7.5\\7.5\times3= 22.5\\22.5\times 3= 67.5\\67.5\times3=202.5

Common ratio = 3

Let f(n) be a term in this sequence then the next term will be f(n+1) = 3 f(n), where n is a natural number .

Required recursive formula :  f(n+1) = 3 f(n)

8 0
3 years ago
Lois is 3 years older than Oscar. The sum of their ages is no more than 20. Write an inequality that can be used to represent th
scoundrel [369]
  • Let Oscar be x years old
  • Lois is x+3 years old

ATQ

\\ \sf\longmapsto x+x+3\leqslant 20

\\ \sf\longmapsto 2x+3\leqslant 20

\\ \sf\longmapsto 2x\leqslant=17

\\ \sf\longmapsto x\leqslant \dfrac{17}{2}

5 0
2 years ago
Read 2 more answers
A company’s sales decreased 5% this year to $6,585. What were their sales last year?
Feliz [49]

Answer:

$6932

Step-by-step explanation:

Let last year's sales = x.  Since there was a decrease of 5%, that means this year's sales are 95% of last year's sales.

So, .95x = 6585

x = 6932 to the nearest dollar

5 0
3 years ago
Consider the quadratic function f(x)= 2(x + 4)² − 6. What is the vertex of the parabola? *
Masja [62]

Answer:

vertex is (-4,-6)

Step-by-step explanation:

put x+4=0

x=-4

when x=-4

f(x)=-6

4 0
4 years ago
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joe has a ring weighing 14 grams made of an alloy of 14 % silver and the rest gold. he decides to melt down the rings and add en
Nataliya [291]

With the help of the ratio method, we conclude that 72 grams of sugar should be added.

<h3>What is Ratio Method?</h3>
  • In the ratio method, we compare two quantities by equating their two ratios; this equation is also referred to as a proportion.
  • The cross-multiplication method will be used to solve it.

So, 'n=5' will be the number of rings.

  • 'w = 18 grams' will be the weight of each ring.
  • Total weight: w₀ = n × w = 5 × 18 = 90 grams

Let 's' be silver. Then,

  • New weight: wₙ = s + 90
  • Old % of gold: p₀ = 90% = 0.9
  • New % of gold: pₙ = 50% = 0.5

Now, use the ratio method as follows:

  • \frac{w_o}{w_n}=\frac{p_n}{p_o}
  • \frac{90}{s+90}=\frac{0.5}{0.9}
  • 90 × 0.9 = 0.5 × (s + 90)
  • 81 = 0.5s + 0.5 × 90
  • 81 = 0.5s + 45
  • 81 - 45 = 0.5s
  • 36 = 0.5s
  • 36/0.5 = s
  • 72 = s
  • So, s = 72

Therefore, with the help of the ratio method, we conclude that 72 grams of sugar should be added.

Know more about Ratio Method here:

brainly.com/question/26027272

#SPJ9

The correct question is given below:
A jeweler has five rings, each weighing 18 grams, made of alloys of 10% silver and 90% gold. He decides to melt down the rings and add enough silver to reduce the gold content to 50%. How much silver should he add?

3 0
2 years ago
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