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2 years ago

Evaluate 1/6x + 5/18 when x = 1/3

Mathematics

1 answer:

lara31 [8.8K]2 years ago

6 0

Answer:

1/3 is the simplified answer

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WORTH 25 POINTS!!!!!!!!!!!!!!!

Tpy6a [65]

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3 years ago

franklin school has 3 boys for every 4 girls in the fifth grade. there are 140 students in the 5th grade. How many boys are ther

marin [14]

Answer:

There are 60 boys and 80 girls in Franklin School.

Step-by-step explanation:

"franklin school has 3 boys for every 4 girls in the fifth grade." means that the ratio of boys to girls is: 3:4

It can also be written as 3/4

Also given

Total number of students: 140

We will use ratios to find the number of boys and girls in shool.

First of all, we have to calculate the sum of ratio which is: 3+4 = 7

Let b be the number of boys and g be the number of girls

Then

$b = \frac{Ratio\ of\ boys}{Sum\ of\ ratio} * Total\ students\\= \frac{3}{7} * 140\\= 3*20\\=60\\g = \frac{Ratio\ of\ girls}{Sum\ of\ ratio} * Total\ students\\g = \frac{4}{7}*140\\= 4*20\\=80$

Hence,

There are 60 boys and 80 girls in Franklin School.

3 0

3 years ago

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Cloud [144]

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3 years ago

What is the average speed for the interval t=1 hour to t=3 hours

inysia [295]

Answer:

7.5 miles per hour

Step-by-step explanation:

Average speed over the interval [1, 3] = (distance at 3 hrs -distance at 1 hr)/(3 hrs - 1 hr)

From the graph:

Distance at 3 hrs = 30 => (3, 30)

Distance at 1 hr = 15 => (1, 15)

Average speed = (30 - 15)/(3 - 1)

Average speed = 15/2

= 7.5

Therefore, average speed = 7.5 miles per hour

5 0

3 years ago

Solve for x.<br> −8x+14≥60 OR −4x+50<58

Reika [66]

Answer: The solution is,

$x\leq -\frac{23}{4}$ or $x>-2$

Step-by-step explanation:

Given compound inequality,

-8x + 14 ≥ 60 or -4x + 50 < 58,

By the subtraction property of inequality,

-8x + 14 - 14 ≥ 60 - 14 or -4x + 50 - 50 < 58 -50,

-8x ≥ 46 or -4x < 8

By the division property of inequality,

$-x \geq \frac{46}{8}$ or $-x < \frac{8}{4}$

Using property a > b ⇒ - a < -b,

$x\leq -\frac{23}{4}$ or $x>-2$

6 0

3 years ago