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3 years ago

Translate "Three is less than thirty-seven" into a mathematical expression.

Mathematics

2 answers:

Scorpion4ik [409]3 years ago

8 0

Answer:

$3$

Step-by-step explanation:

We have been given a sentence and we are asked to translate our given sentence into an algebraic expression.

Sentence: "Three is less than thirty-seven".

We know that less than sign is .

We need to write three on left side of less than sign and 37 on the right side of less than sign as:

$3$

Therefore, our required mathematical expression would be $3$ .

scoray [572]3 years ago

5 0

$3 < 37$
Hope it will help you

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In 4 minutes, a conveyor belt moves 800 pounds of recyclable aluminum from the delivery truck to a storage area. A smaller belt

kkurt [141]

Answer:

It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.

Step-by-step explanation:

Given - In 4 minutes, a conveyor belt moves 800 pounds of recyclable

aluminum from the delivery truck to a storage area. A smaller belt

moves the same quantity of cans the same distance in 6 minutes.

To find - If both belts are used, find how long it takes to move the cans

to the storage area.

Proof -

Given that,

Larger belt take 4 minutes to transfer the aluminium from delivery truck to storage area.

⇒ Time taken by Larger belt = 4 min/ shifting

Also,

Smaller belt take 6 minutes to transfer the aluminium from delivery truck to storage area.

⇒ Time taken by Smaller belt = 6 min/ shifting

Now,

As we know that Time is inversely proportional to time, so

Rate of Larger Belt = $\frac{1}{4}$ shifting/min

Rate of Smaller Belt = $\frac{1}{6}$ shifting/min

Now,

Let us assume that , if both belts used then,

Total time taken = x min/shifting

Then, Rate = $\frac{1}{x}$ shifting/min

Now,

$\frac{1}{4}$ + $\frac{1}{6}$ = $\frac{1}{x}$

⇒ $\frac{6 + 4}{24} = \frac{1}{x}$

⇒ $\frac{10}{24} = \frac{1}{x}$

⇒10x = 24

⇒x = $\frac{24}{10}$ = 2.4 minutes

∴ we get

It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.

3 0

2 years ago

HELP NEEDED ASAP WILL GIVE 5 STAR RATING AND BRAINLIEST!

stealth61 [152]

Answer:

The answer to your question is: ∠K = 138°

Step-by-step explanation:

m∠N = 42°

m∠K = ?

The sum of all the internal angles in a quadrangle equals 360°

then

∠N + ∠L + ∠M + ∠K = 360°

∠N = ∠ L and ∠M = ∠K

So, 2 ∠N + 2 ∠K = 360

Substitution

2 (42) + 2 ∠K = 360

84 + 2 ∠K = 360

2 ∠K = 360 - 84

2 ∠K = 276

∠K = 276 / 2

∠K = 138°

8 0

2 years ago

Show your work please

Butoxors [25]

Answer: No solution

Step-by-step explanation:

Perimeter= 2(length) + 2(width)

If they have the same perimeter than we can write their values as an equation like this:

2(10) + 2x = 2(6) + 2(x + 3)

20 + 2x = 12 + 2(x+3)

DISTRIBUTE THE 2 TO THE X AND THE 3

20 + 2x = 12 + 2x + 6

COMBINE LIKE TERMS

20 + 2x = 18 + 2x

SUBTRACT 2X FROM BOTH SIDES

20 = 18

<u>THE EQUATION HAS NO SOLUTION, AND YOU ARE CORRECT</u>

6 0

3 years ago

1 inch = 2.54cm 1 mile = 1.6km a map has a scale of 1 inch represents 1 mile use the given conversions to show that 1cm on the m

lara31 [8.8K]

Note: 1 inch = 2.54 cm is an exact converion, while 1 mile=1.6km is only approximate.

Using conversion
1 inch=2.54 cm
1 mile = 1760*3*12 = 63360 in = 160934.4 cm
If 1 inch = 1 mile, then
2.54 cm : 1 mile = 1.609344 km
1 cm : 0.6336 km (exactly), or
1 cm : 0.6 km (approximately)

Using both conversions:
1 inch = 2.54 cm : 1 mile = 1.6 km
=>
2.54 cm : 1.6 km
1 cm : 1.6/2.54=0.6299 km (approximately), or
1 cm : 0.6 km (approximately)

8 0

3 years ago

If f(x) = 4x – 6, what is f(6)?

chubhunter [2.5K]

18 is the answer you're welcome

8 0

3 years ago

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