0.4x - 1.2 = 0.15x + 0.8 ?????????

Mathematics

1 answer:

valentina_108 [34]3 years ago

7 0

Answer:

x = 8

Step-by-step explanation:

0.4x - 1.2 = 0.15x + 0.8

0.4x - 1.2 + 1.2 = 0.4x

0.15x + 0.8 + 1.2 = 0.15x + 2

0.4x = 0.15x + 2

0.4x - 0.15x = 0.25x

0.15x + 2 - 0.15x = 2

0.25x = 2

0.25x / 0.25 = x

2 / 0.25 = 8

x = 8

You might be interested in

Shorty Jones wants to buy a one-way bus ticket to Mule-Snort, Pennsylvania. The ticket costs $142, but Mr. Jones has only $80. I

Katen [24]

Answer:

Shorty has $142 after 7 month.

Step-by-step explanation:

The concept of compounded interest involves an initial capital that is reinvested month by month, it means that the initial capital plus the interest earned during the first month is reinvested on the second month and so on. The equation that describes the relationship between the final capital with the initial capital, the percentage of compounded interest and the time is:

Cf = Ci(1 + r)^n

where Cf: final capital (the money tha Shorty needs, $142)

Ci: initial capital (the money that Shorty has, $80)

r is the interest (9% = 0,09)

n: time (in months)

⇒142 = 80 (1 + 0,09)^n ⇒ 142/80 = (1,09)^n ⇒ 1.775 = (1,09)^n At this point you have to apply logarithms.

⇒ log (1.775) = n log (1.09) ⇒ n = log (1.775)/log (1.09) ⇒ n= 6.658

Shorty has $142 after 7 month.

4 0

3 years ago

Laura received a box of chocolates for her birthday. The chocolates in the box have five different fillings. The table below sho

Kitty [74]

In this question we are asked to find the ratio of the number of chocolates which Lauren liked and the total of chocolates.

We know she doesn't like coconut and toffee, so she likes caramel, mint and cherry. When we count the ones she liked, we got $16+12+14=42$ .

When we add to find how many chocolates are there, we got $16+10+12+14+8=60$ .

To find the ratio we need to divide the first one and the second one: $\frac{42}{60} = \frac{7}{10} = 0.7$ is our probability.