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3 years ago

Which of the following is not a solution to the inequality

Mathematics

2 answers:

RUDIKE [14]3 years ago

6 0

Answer: A 4

step by step explmationn

KIM [24]3 years ago

4 0

Answer:

C. 4.25

Step-by-step explanation:

You would want to subtract the one so you could subtract it to 18 then divide 4 by 17 to get 4.25

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A man was traveling by air is allowed a maximum of 20kg luggages .The man has four bags weighing 3.5kg ,15 kg ,2kg and 1.5kg .Fi

KatRina [158]

Answer:

See explanation

Step-by-step explanation:

Maximum weight = 20 kg

Bag 1 = 3.5kg

Bag 2 = 15 kg

Bag 3 = 2kg

Bag 4 = 1.5kg

Total weight of bags = 22 kg

Excess weight of his luggage = Total weight of bags - Maximum weight

= 22 kg - 20 kg

= 2 kg

Express the excess weight as a percentage of his maximum weight allowed = excess weight / maximum weight × 100

= 2/20 × 100

= 0.1 × 100

= 10%

Express the excess weight as a percentage of his maximum weight allowed = 10%

5 0

3 years ago

Can you see an easy way to work out the value of <img src="https://tex.z-dn.net/?f=%5Csqrt%7B%201%5E3%20%2B%202%5E3%20%2B%203%5E

Lina20 [59]

We have the sum of cubes identity

$a^3 + b^3 = (a + b) (a^2 - ab + b^2)$

and observing that 1 + 4 = 2 + 3, we have

$1^3 + 4^3 = (1 + 4) (1^2 - 4 + 4^2) = 5 \times 13$

and

$2^3 + 3^3 = (2 + 3) (2^2 - 6 + 3^2) = 5 \times 7$

Then

$\sqrt{1^3+2^3+3^3+4^3+5^3} = \sqrt{5\times13 + 5\times7 + 5\times5^2} = \sqrt{5 \times (20 + 25)} \\\\ ~~~~~~~~ = \sqrt{5^2 \times (4 + 5)} = \sqrt{5^2\times9} = \sqrt{5^2\times3^2} = 5\times3 = \boxed{15}$

Alternatively, we have the well-known sum of cubes formula

$\displaystyle \sum_{i=1}^n i^3 = \frac{n^2(n+1)^2}4$

The sum under the square root is this sum with $n=5$ . Then

$1^3+2^3+3^3+4^3+5^3 = \dfrac{5^2\times6^2}4 = 225 = 15^2$

and so the square root again reduces to 15.

5 0

2 years ago

At a local print shop, 14 copies can be made for $4. At this rate, how much would it cost to make 63 copies?

Illusion [34]

It would cost 18$ ! hope this helps :)

7 0

3 years ago

Read 2 more answers

The automaker of your new car recommended an oil change following the 5,000 miles and then every 3,000 miles thereafter.if you p

Rus_ich [418]

Answer:

3 oil changes

Step-by-step explanation:

1. Find an equation that represents this word problem: 3000x + 5000 = y

Where y = the # of miles total. y = 250 miles/week * 52 weeks/year = 13000 miles.

2. Solve for x: 3000x + 5000 = 13000 3000x=8000

3. x = 8/3 integer round down x = 2 oil changes, but plus the one after 5000 miles is a total of 3 oil changes that year

3 0

3 years ago

Convert 5.6 m into centimeters.<br> Show work.

Nata [24]

Answer:

560 cm

Step-by-step explanation:

Step 1: Find conversion

1 m = 100 cm

Step 2: Convert

5.6 m · 100 cm/m = 560 cm

6 0

3 years ago

Read 2 more answers