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Gnom [1K]
2 years ago
6

If the number of types of massages is represented by 4x + 3 and the number of types of manicures is represented by -6x + 5 and t

he number of types of pedicures is represented by 8x - 7, what is the expression for the total number of services they have to choose from?
Mathematics
1 answer:
svetlana [45]2 years ago
6 0

Answer:

Step-by-step explanation:

If the number of types of massages is represented by 4x + 3 and the number of types of manicures is represented by -6x + 5 and the number of types of pedicures is represented by 8x - 7, what is the expression for the total number of services they have to choose from?

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Solve, leaving in terms of a logarithm, with steps please! 160(0.4^x) +1=321
ludmilkaskok [199]

Answer:

321

Step-by-step explanation:

4 0
3 years ago
Rewrite the expression $6j^2 - 4j 12$ in the form $c(j p)^2 q$, where $c$, $p$, and $q$ are constants. What is $\frac{q}{p}$
solniwko [45]

Rewrite the expression  6j^2 - 4j + 12$ in the form $c(j + p)^2 + q$, where $c$, $p$, and $q$ are constants. What is $\frac{q}{p}$

The ratio of \frac{q}{p}  = - 34

How to solve such questions?

Such Questions can be easily solved just by some Algebraic manipulations and simplifications. We just try to make our expression in the form which question asks us. This is the best method to solve such questions as it will definitely lead us to correct answers. One such method is completing the square method.

Completing the square is a method that is used for converting a quadratic expression of the form ax^{2} + bx + c to the vertex form

a(x - h)^{2} + k. The most common application of completing the square is in solving a quadratic equation. This can be done by rearranging the expression obtained after completing the square: a(x + m)^{2} + n, such that the left side is a perfect square trinomial

$6j^2 - 4j +12$

=  $6(j^2 - \frac{2}{3} j )+12$

= $6(j^2 - \frac{2}{3} j  +  \frac{1}{9}  )+\frac{102}{9}                   (Completing Square method)

=6( j- \frac{1}{3} )^{2}  +  \frac{34}{3}

On comparing with the given equation we get

p = - \frac{1}{3}     and q = \frac{34}{3}

∴ \frac{q}{p} = \frac{\frac{34}{3} }{\frac{-1}{3} }

= - 34

Learn more about completing the square method here :

brainly.com/question/26107616

#SPJ4

7 0
2 years ago
The volume of a medal is 35 cm³
ratelena [41]

Answer:

301.224 g

Step-by-step explanation:

Let's divide in the ratio 21:4 the volume of the medal (35cm^3)

copper = (21/25)(35cm^3) = 29.4cm^3

tin = (35 - 29.4)cm^3 = 5.6cm^3

<em>FOR THE COPPER</em>

8.84 : 1 = X : 29.4

X = 259.896(g)

<em>FOR THE TIN</em>

7.38 : 1 = X : 5.6

X = 41.328(g)

<em>(259.896 + 41.328)g </em><em>=</em><em> 301.224 g</em>

7 0
1 year ago
Express 4 4/9 as an improper fraction. Example please.
miskamm [114]
Simple...

you have: 4 \frac{4}{9}

To make this into an improper fraction-->>

1.) Multiply whole number by denominator

2.)Add the number you got plus the numerator

3.) Use the original denominator to finish your improper fraction

Example: 4\frac{4}{9}

4*9=36

36+4=40

\frac{40}{9}

Thus, your answer.
3 0
3 years ago
a A palm tree casts a 19 foot shadow. A beach umbrella in the sand next to the palm tree casts a 6.5 foot shadow. If the umbrell
lesantik [10]
Nskssksejeorbf palm tree
5 0
2 years ago
Read 2 more answers
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