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3 years ago

Help me solve this please -22-x=5+6x+9

Mathematics

1 answer:

ollegr [7]3 years ago

8 0

Answer: x = -5 1/7

Step-by-step explanation:

-22 - x = 5 + 6x + 9

First, combine the like terms 5 and 9

5 + 9 = 14

-22 - x = 14 + 6x

Add x to each side

-22 = 14 + 7x

Subtract 14 from each side

-36 = 7x

Divide each side by 7

x = -5 1/7 (Yes, a fraction.)

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In a recent student body election, Adam received 40 more than 40% of the votes. Brigitte received 40 less

Airida [17]

The total vote cast was 700.

The winner was Adam (received 320 votes)

Why?

To solve the problem, we need to make equations to express the number of votes received for each of the candidates.

Solving we have:

Let be "v" the total vote cast,

For Adam,

$A=40+0.4*v$

For Brigitte,

$B=0.5(40+0.4v)-40$

$B=20+0.2v-40$

$B=0.2v-20$

For Carl,

$C=20+0.5*B$

$C=20+0.5*(0.2v-20)$

$C=10+0.1v$

For Diane,

$D=180votes$

Now, the total vote cast will be:

$v=A+B+C+D\\\\v=(40+0.4v)+(0.2v-20)+(10+0.1v)+180\\\\v=(40-20+10+180)+(0.4v+0.2v+0.1v)$

$v=210+0.7v\\\\v-0.7v=210\\\\v=\frac{210}{0.3}=700$

Now, substituting "v" in each equation to calculate the number of votes for each candidate, we have:

$Adam=40+0.4*700=320votes\\Brigitte=0.2*700-20=120votes\\Carl=10+0.1*700=80votes\\Diane=180votes$

Hence, we have that the total vote cast was 700, and the winner was Adam (received 320 votes)

Have a nice day!

7 0

3 years ago

Place these metric units in order from the smallest to the largest: meter, millimeter, kilometer, decimeter, centimeter, dekamet

hammer [34]

Millimeter
centimeter
decimeter
meter
dekameter
hectometer
kilometer

there is it

8 0

2 years ago

A woman invests 12,500 in a savings account drawling interest that is compounded annually. Find the annual rate if the money gro

Anuta_ua [19.1K]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\$14045\\ P=\textit{original amount deposited}\dotfill &\$12500\\ r=rate\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases}$

$\bf 14045=12500\left(1+\frac{r}{1}\right)^{1\cdot 2}\implies \cfrac{14045}{12500}=(1+r)^2\implies \cfrac{2809}{2500}=(1+r)^2 \\\\\\ \sqrt{\cfrac{2809}{2500}}=1+r\implies \cfrac{53}{50}=1+r\implies \cfrac{53}{50}-1=r\implies \cfrac{3}{50}=r \\\\\\ 0.06=r\implies \stackrel{\textit{converting it to percent format}}{0.06\cdot 100=r}\implies \stackrel{\%}{6}=r$

4 0

2 years ago

Read 2 more answers

2. It is required to make a closed cylindrical tank of height 1 m and base diameter 140 cm

4vir4ik [10]

Answer:

It's required $7.48\ m^2$ of sheet for the tank

Step-by-step explanation:

Surface Area of a Cylinder

Given a right cylinder of base radius r and height h, the surface area is calculated as follows:

$S=2\pi r^2+2\pi r h$

The cylindrical tank has a height of h=1 m and a base diameter of 140 cm. The radius is half the diameter, thus r=140/2 = 70 cm = 0.7 m. Substituting:

$S=2\pi 0.7^2+2\pi (0.7)(1)$

$S=2\pi 0.49+1.4\pi$

$S=2.38\pi$

$\boxed{S=7.48\ m^2}$

It's required $7.48\ m^2$ of sheet for the tank

7 0

3 years ago

Helpp the topic is about limits

erik [133]

Since we want to find the value of k where the limit exists, set both equations equal to each other. Then substitute x = -1 in for each equation to find k.

$kx - 3 = {x}^{2} + k$