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2 years ago

Solve for x 3 x − 2 = 4 x + 5

Mathematics

1 answer:

Law Incorporation [45]2 years ago

8 0

Answer:

3x - 2 = 4x + 5

3x - 4x = 2 + 5 (move the numbers with the variable x to one side, and the normal numbers to the other side. Switch the signs of the numbers you move. 4x became -4x and -2 became 2.)

-x = 7 (simply add the numbers)

x = 7

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Do you know how to do this question

Sever21 [200]

Percentage of the area shaded = 55%

Solution:

Perimeter of the square = 40 cm

Each side of the square = $\frac{40}{4}$ = 10 cm

Area of the square = $\text{side}^2$

= 10²

= 100

Total area of the square = 100 cm²

The unshaded portion is two triangles.

Base of the smaller triangle = 10 cm – 7 cm = 3 cm

Height of the smaller triangle = 10 cm

Area of the smaller triangle = $\frac{1}{2}\times \text{base}\times \text{height}$

$$=\frac{1}{2}\times 3\times 10$

Area of the smaller triangle = 15 cm²

Base of the larger triangle = 10 cm – 4 cm = 6 cm

Height of the larger triangle = 10 cm

Area of the larger triangle = $\frac{1}{2}\times \text{base}\times \text{height}$

$$=\frac{1}{2}\times 6\times 10$

Area of the larger triangle = 30 cm²

Area of the shaded portion = Area of the square – Area of the smaller

triangle – Area of the larger triangle

= 100 cm² – 15 cm² – 30 cm²

Area of the shaded portion = 55 cm²

Percentage of the area shaded = $\frac{\text{Area of the shaded portion}}{\text{Total area of the square}}\times100\%$

$$=\frac{55}{100}\times100\%$

Percentage of the area shaded = 55%

8 0

4 years ago

An office supply company orders packs of pens for two of its stores. For the first store, the order is for 60 packs of ballpoint

AlekseyPX

Answer:

Option A. The cost of one pack of ballpoint pens is $3 and the cost of one pack of gel pens is $7.

Step-by-step explanation:

Let

x -----> the cost of one pack of ballpoint pens

y -----> the cost of one pack of gel pens

we know that

60x+25y=355 -----> equation A

120x+30y=570 -----> equation B

Solve the system of equations by graphing

Remember that the solution of the system is the intersection point both graphs

The solution is the point (3,7)

see the attached figure

therefore

The cost of one pack of ballpoint pens is $3

The cost of one pack of gel pens is $7

5 0

3 years ago

suppose that $17,000 is deposited for six years at 5% APR. Calculate the interest earned if interest is compounded quartly . Rou

Lapatulllka [165]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$17000\\
r=rate\to 5\%\to \frac{5}{100}\to &0.05\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, thus four}
\end{array}\to &4\\
t=years\to &6
\end{cases}
\\\\\\
A=17000\left(1+\frac{0.05}{4}\right)^{4\cdot 6}\implies A=17000(1.0125)^{24}$

the earned interest will then be A - P, namely A - 17000.

5 0

3 years ago

What is the value of 5c^3 the following expression when c=2

Elina [12.6K]

Answer:

Step-by-step explanation:

simple and easy

6 0

3 years ago

PLEASE HELP ASAP 34 BRAINLY POINTS

Andrei [34K]

1. y=-x
2. y=3x+1
3. y=-6x

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3 years ago