How do you calculate 8 + 1/7=

A rocket is launched from atop a 55-foot cliff with an initial velocity of 138 ft/s. a. Substitute the values into the vertical

Nonamiya [84]

It would take 9 seconds.

Substituting the values into the equation, we have:

0 = -16t² + 138t + 55

The quadratic formula is:
$t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Inserting our information we have:
$t=\frac{-138\pm \sqrt{138^2-4(-16)(55)}}{2(-16)}
\\
\\=\frac{-138\pm \sqrt{19044--3520}}{-32}
\\
\\=\frac{-138\pm \sqrt{19044+3520}}{-32}
\\
\\=\frac{-138\pm \sqrt{22564}}{-32}
\\
\\=\frac{-138\pm 150}{-32}=\frac{-138+150}{-32}\text{ or } \frac{-138-150}{-32}
\\
\\=\frac{12}{-32}\text { or } \frac{288}{32}=-0.375 \text{ or } 9$

7 0

4 years ago

Find the LCD of 3/5 and 1/6.

Harrizon [31]

Question 1:

We have to find the LCD of $\frac{3}{5}$ and $\frac{1}{6}$

LCD is the least common denominator is the lowest common multiple of the denominators of a set of fractions.

Here the denominators are 5 and 6.

So, we will find the LCM of 5 and 6

5 = $5 \times 1$

6 = $2 \times 3$

LCM of 5 and 6 = $2 \times 3 \times 5$

= 30

Therefore, the LCD of these numbers is 30.

Question 2:

We have to find the difference between $\frac{3}{7}$ and $\frac{1}{14}$ .

Difference = $\frac{3}{7}- \frac{1}{14}$

LCM of 7 and 14 is 14

Therefore, difference = $\frac{6-1}{14}$

= $\frac{5}{14}$

Question 3:

Amount of brown sugar used by Sandy = $\frac{1}{3}$

Amount of sugar increased by Sandy = $\frac{2}{9}$

Total amount of Sugar used by Sandy = $\frac{1}{3}+\frac{2}{9}$

LCM of 3 and 9 is 9.

Total amount of Sugar used = $\frac{3+2}{9}$

= $\frac{5}{9}$ cup

Question 4:

Let the number which should be added to $\frac{2}{15}$ to make the sum greater than $\frac{1}{2}$ be 'x'

So, $\frac{2}{15}+x >\frac{1}{2}$

$x > \frac{1}{2}-\frac{2}{15}$

LCM of 2 and 15 is 30.

$x>\frac{15-4}{30}$

$x>\frac{11}{30}$

So, the number is $\frac{11}{30}$

Question 5:

We have to identify the set of mixed numbers has a difference less than 1.

Set 1: $1 \frac{2}{9}$ and $1 \frac{1}{9}$

Difference = $1 \frac{2}{9}-1 \frac{1}{9}$

= $\frac{11}{9}- \frac{10}{9}$

= $\frac{1}{9}$

This set has difference less than 1.

Set 2:

$3 \frac{4}{7}$ and $2 \frac{1}{7}$

Difference = $3 \frac{4}{7}-2 \frac{1}{7}$

= $\frac{25}{7}- \frac{15}{7}$

= $\frac{10}{7}$

This set does'not have difference less than 1.

Set 3:

$2 \frac{4}{5}$ and $1 \frac{1}{3}$

Difference = $2 \frac{4}{5}-1 \frac{1}{3}$

= $\frac{14}{5}- \frac{4}{3}$

= $\frac{42-20}{15}$

= $\frac{22}{15}$

This set does'not have difference less than 1.

Set 4:

$2 \frac{7}{9}$ and $1 \frac{1}{3}$

Difference = $2 \frac{7}{9}-1 \frac{1}{3}$

= $\frac{25}{9}- \frac{4}{3}$

= $\frac{13}{9}$

This set does'not have difference less than 1.

7 0

3 years ago

248 students went on a trip to the zoo. All 6 buses were filled and 8 students had to travel in cars. How many students were in

PIT_PIT [208]

40 students on each bus. 248 minus 8 equals 240. 240 divides by 6 equals 40.

5 0

3 years ago

Read 2 more answers

Mr Goldstein is driving from Houston. The equation y = -45x + 270 represents the numbers of miles that he still has to travel af

ankoles [38]

Step-by-step explanation:

The y-intercept formula is y=mx+b

(m) is the slope

(b) is the y intercept

So in the given formula -45 would be the slope and 270 is the y intercept.

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

6 0

3 years ago

An object’s volume is 0.12 kL. What is its volume in liters?

mrs_skeptik [129]

Answer:

120L

Step-by-step explanation:

Given quantity;

0.12kL to L

Solution:

Convert the given quantity to Liters;

1000L = 1kL

So.

1kL gives 1000L

0.12kL will be 1000 x 0.12 = 120L

3 0

3 years ago