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belka [17]
4 years ago
7

Ryan has x stamps in his collection if he was 6 times as many stamps as penny, how many stamps does penny have in her collection

in temas of x?
Mathematics
1 answer:
Free_Kalibri [48]4 years ago
7 0

The number of stamps with penny in terms of x is \frac{x}{6}

<em><u>Solution:</u></em>

Given that,

Ryan has x stamps in his collection

Number of stamps of Ryan = x stamps

Let the stamps with penny be "a"

Ryan has 6 times as many stamps as penny

Therefore,

Number of stamps in Ryan = 6 times as many stamps as penny

\text{Number of stamps in Ryan } = 6 \times a\\\\x = 6a\\\\a = \frac{x}{6}

Thus number of stamps with penny in terms of x is \frac{x}{6}

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If c(x)= 5/x-2 and d(x) = x + 3, what is the domain of (cd)(x)?
Nataly [62]

(fg)(x)=f(x)\cdot g(x)\\\\\text{We have}\ c(x)=\dfrac{5}{x-2}\ \text{and}\ d(x)=x+3.\ \text{Substitute}\\\\(cd)(x)=\dfrac{5}{x-2}\cdot(x+3)=\dfrac{5(x+3)}{x-2}\\\\\text{Domain:}\\\\\text{The denominator must be different than zero. Therefore}\\\\x-2\neq0\to x\neq2\\\\Answer:\ \text{Domain is the set of all real numbers except 2}\to D=\mathbb{R}-\{2\}

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3 years ago
Practice
andrew11 [14]

Computing the <u>ratio of raisins to ounces</u>, it is found that due to the <u>higher computed ratio</u>, brand B advertises the greatest ratio of raisins per ounce.

---------------------------

  • For <em>brand A</em>, there are 60 raisins in the 24-ounces box, thus the ratio is of \frac{60}{24} = 2.5, that is, 2.5 raisins per ounce.
  • For <em>brand B</em>, there are 18 raisins in the 6-ounce box, 36 in the 12-ounce, and it follows this ratio, thus \frac{36}{12} = \frac{18}{6} = 3, thus, 3 raisins per ounce.
  • For <em>brand C</em>, there are 20 raisins in the 10-ounce box, 30 in the 15-ounce, and so on, thus \frac{20}{10} = \frac{30}{15} = 2, thus, 2 raisins per ounce.
  • Due to the <u>higher computed ratio</u>, brand B advertises the greatest ratio of raisins per ounce.

A similar problem is given at brainly.com/question/24622075

5 0
3 years ago
Can someone please help me its the second time im asking this
scoundrel [369]

Answer:

see the attachment photo!

8 0
2 years ago
The length of the rectangle is x cm. The length of a diagonal of the rectangle is 8 crn. The perimeter of the rectangle is 20 cm
klemol [59]

Answer:

x^2-10x+18=0

<em>a</em> = -10 and <em>b</em> = 18.

Step-by-step explanation:

Let <em>w</em> represent the width of the rectangle.

We are given that the perimeter of the rectangle is 20 cm, this means that:

20=2(x + w)

Let's put <em>w</em> in terms of <em>x</em>. Divide both sides by two:

10=x+w

And solve for <em>w:</em>

<em />w=10-x<em />

So, the rectangle measures <em>x</em> by (10 -<em> x</em>) cm.

<em />

According to the Pythagorean Theorem:

a^2+b^2=c^2

<em>a</em> and <em>b</em> are the legs and <em>c</em> is the hypotenuse.

Substitute <em>x</em> for <em>a, w</em> for <em>b</em>, and 8 for <em>c:</em>

<em />x^2+w^2=8^2<em />

Simplify and substitute:

x^2+(10-x)^2=64

Square:

x^2+(100-20x+x^2)=64

Isolate the equation. So:

2x^2-20x+36=0

Since the leading coefficient is one, divide both sides by two:

x^2-10x+18=0

Therefore, <em>a</em> = -10 and <em>b</em> = 18.

6 0
3 years ago
Jessica deposits her summer babysitting earnings, $600, in a savings account. How many years will it take her to earn $150 in in
aev [14]

:) done ur welcome now give me brainliest........................................................................................................................................................................................................................................................

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3 years ago
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