All categories

2 years ago

I need help

Mathematics

1 answer:

algol [13]2 years ago

5 0

Answer:

1. No.

2. Yes, there is no solution here.

Step-by-step explanation:

The former:

$8(5x - 3) = 6(-3x - 4); \\ 8 * 5x - 8 * 3 = 6 * (-3x) - 6 * 4; \\ 40x - 24 = -18x - 24; \\ 40x + 18x = -24 + 24; \\ 58x = 0; \\ x = 0.$

$\{0\}$ is our set of solutions.

The latter:

$3x - 13 = 7(x + 2) - 4(x - 7); \\ 3x - 13 = 7x + 7 * 2 - 4x - 4 * (-7); \\ 3x - 13 = 7x + 14 - 4x + 28; \\ 7x - 4x - 3x = -13 - 14 - 28;\\ 0x = 55; \\ x \in \emptyset.$

In other words, there is not any solution from the set of real numbers that suits us.

You might be interested in

$6000 are invested in a bank account at an interest rate of 10 percent per year.

Licemer1 [7]

The amount for the investment of $6000 will be a.$6369 b. $6090 and c.$6030.

<h3>What is compound interest?</h3>

Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-

$A=P[1+\dfrac{r}{n}]^{nt}$

a) The amount in the bank after 6 years if interest is compounded annually.

$A=P[1+\dfrac{r}{1}]^{t}\\\\\\A=6000[1+\dfrac{0.01}{1}]^{ 6}$

A= $6369

b) The amount in the bank after 6 years if interest is compounded quarterly.

$A=P[1+\dfrac{r}{4}]^{4t}\\\\\\A=6000[1+\dfrac{0.01}{4}]^{4\times 6}$

A= $6090

c ) The amount in the bank after 6 years if interest is compounded monthly.

$A=P[1+\dfrac{r}{12}]^{4t}\\\\\\A=6000[1+\dfrac{0.01}{12}]^{12\times 6}$

A=$6030

Hence the amount for the investment of $6000 will be a.$6369 b. $6090 and c.$6030.

To know more about Compound interest follow

brainly.com/question/24924853

#SPJ1

7 0

2 years ago

You bought a shirt for $24.50, the tax rate is 5%, what is the tax of the<br> shirt? *

ICE Princess25 [194]

23.275 after the tax

5 0

2 years ago

The half-life of the radioactive element unobtanium-43 is 10 seconds. If 48 grams of unobtanium-43 are initially present, how ma

natka813 [3]

Answer:

At time, 10 seconds, the mass remaining is 24 grams

At time, 20 seconds, the mass remaining is 12 grams

At time, 30 seconds, the mass remaining is 6 grams

At time, 40 seconds, the mass remaining is 3 grams

At time, 50 seconds, the mass remaining is 1.5 grams

Step-by-step explanation:

Given;

initial mass of the radioactive element = 48 grams

half life, t = 10 seconds

time of decay (s) remaining mass of the radioactive element

0 ------------------------------------------------- 48 grams

10------------------------------------------------- 24 grams

20 ------------------------------------------------- 12 grams

30 -------------------------------------------------- 6 grams

40 --------------------------------------------------- 3 grams

50 ----------------------------------------------------- 1.5 grams

60------------------------------------------------------0.75 grams

Thus;

At time, 10 seconds, the mass remaining is 24 grams

At time, 20 seconds, the mass remaining is 12 grams

At time, 30 seconds, the mass remaining is 6 grams

At time, 40 seconds, the mass remaining is 3 grams

At time, 50 seconds, the mass remaining is 1.5 grams

7 0

3 years ago

Reggie earns $12.65 per hour and works 38 hours per week. How much does he warm in a week before taxes are taken out?

nexus9112 [7]

Reggie earns $480.70 a week before taxes are taken out.

6 0

3 years ago

Combine likes terms to create an equivalent expression 1/7 - 3(3/7h -2/7)

Anastasy [175]

$\frac{1}{7} -3(\frac{3}{7}h -\frac{2}{7}) = \frac{7-9h}{7}$

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

<em><u>Given expression is:</u></em>

$\frac{1}{7} -3(\frac{3}{7}h -\frac{2}{7})$

We have to combine the like terms

From given expression,

$\frac{1}{7} -3(\frac{3}{7}h -\frac{2}{7})$

By distributive property,

The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

a(b + c) = ab + bc

Therefore,

Solve for brackets using distributive property

$\frac{1}{7} - (3 \times \frac{3}{7}h) + (3 \times \frac{2}{7})\\\\\frac{1}{7} - \frac{9h}{7} + \frac{6}{7}$

Add 1/7 and 6/7

$\frac{1}{7} + \frac{6}{7} -\frac{9h}{7}\\\\\frac{1+6}{7} -\frac{9h}{7}\\\\Simplify\\\\\frac{7}{7}-\frac{9h}{7}\\\\1-\frac{9h}{7}\\\\Simplify\\\\\frac{7-9h}{7}$

Thus the equivalent expression is found

5 0

2 years ago