All categories

2 years ago

Solve for x.

Mathematics

1 answer:

Ivanshal [37]2 years ago

8 0

Answer:

x = -3.25

Step-by-step explanation:

2/5 = 0.4

0.4x - 0.2 = -2(3/4)

-2(3/4) = -2/1 * 3/4 = -6/4

0.4x - 0.2 = -6/4

Convert to fraction

2/5x - 1/5 = -6/4

Add 1/5 to both sides

-6/4 + 1/5 = -30/20 + 4/20 = -26/20

2/5x = -26/20

Convert to decimal

0.4x = -1.3

-1.3/0.4 = -3.25

x = -3.25

You might be interested in

The product of 4 and the difference of x and 3 is 54

DENIUS [597]

Answer:

x = 16.5

Step-by-step explanation:

the original equation is: 4(x - 3) = 54

first divide both sides by 4: x - 3 = 13.5

finally add both sides by 3: x = 16.5

7 0

3 years ago

If has a decimal approximation of 3.4, then is between which two integers? In your final answer, include all calculations.

olganol [36]

Answer: It is between 3 and 4.

Step-by-step explanation:

Integers are whole numbers and its opposite, for example, -5,-4,-3,-2,-1, 0, 1,2,3,4, 5 ,....

Meaning that 3.4 is not an integer so it fall between two integers and those integers has to be positive because 3.4 is a positive number.

3.4 is slightly greater than 3 but is less than 4.

Meaning that 3.4 is between the integers 3 and 4.

7 0

4 years ago

Read 2 more answers

I need help with algebra

rosijanka [135]

Answer:

x = -1 and y = 6

Step-by-step explanation:

using x = -b/2a

x = -4 / 2(2)

x = -1

y = 2(-1)² + 4(-1) + 8

y = 2 - 4 + 8

y = 10 - 4

y = 6

4 0

2 years ago

Use addition or substitution to find the value of x for this set of equations 12x-5y=30 y=2x-6

xeze [42]

If you calculate it on a algebra calculator you get x=6

3 0

3 years ago

Carmen has $30 in store bucks and a 25% discount coupon for a local department store. What maximum dollar amount can Carmen purc

hram777 [196]

The maximum amount can Carmen purchase so that after her store bucks and discount are applied is $\boxed{\$ 110}.$

Further Explanation:

Given:

Carmen has $\$ 30$ in store bucks.

A $25\%$ discount coupon for a local department store.

The total amount should be less than $\$ 60$ before sales tax.

Explanation:

Consider the amount of the purchase as A.

The Carmen has $\$ 30$ in store bucks.

The new amount will be $\left( {A - 30} \right).$

There is a $25\%$ discount coupon for a local department store.

The amount after discount can be calculated as follows,

$\begin{aligned}{\text{Amount}} &= \left( {1 - 0.25} \right) \times \left( {A - 30} \right) \\&= 0.75\left( {A - 30} \right) \\\end{alignedd}$

The total amount should be less than $\$ 60$ before sales tax.

The maximum amount can Carmen purchases so that after her store bucks and discount are applied can be calculated as follows,

$\begin{aligned}0.75\left( {A - 30} \right) &\leqslant 60 \\\frac{{0.75\left( {A - 30} \right)}}{{0.75}} &\leqslant \frac{{60}}{{0.75}} \\ A - 30 &\leqslant 80 \\A - 30 + 30 &\leqslant 80 + 30 \\A &\leqslant 110 \\\end{aligned}$

The maximum amount can Carmen purchase so that after her store bucks and discount are applied is $\boxed{\$ 110}.$

Learn more:

Learn more about inverse of the function brainly.com/question/1632445.
Learn more about equation of circle brainly.com/question/1506955.
Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear inequality

Keywords: Tax, returns, filed, tax return, Carmen, store bucks, department store, maximum, dollar, amount, Carmen purchase, discount, 25% discount coupon, coupon, sales tax.

5 0

3 years ago

Read 2 more answers