What is a constraint in math? For what situations would they be useful?

Answer:

n  ⩽ 30

Step-by-step explanation:

The prime factorization of 45 would be 5×9, and 9 is 3×3, so 45 would be 5×3^2.

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Answer:

The next two times both buckets dump water at the same time are 4:54 P.M and 7:18 P.M.

Step-by-step explanation:

From the question, one bucket dumps water every 18 minutes, say bucket A;

and the other bucket dumps water every 16 minutes, say bucket B.

Also, It is currently 2:45 P.M. and both buckets dumped water 15 minutes ago,

that is, both buckets dumped water at 2:30 P.M.

For bucket A, the next times it will dump water will be:

2:48 P.M, 3:06 P.M, 3:24 P.M, 3:42 P.M, 4:00 P.M, 4:18 P.M, 4:36 P.M, 4:54 P.M, 5:12 P.M, 5:30 P.M, 5:48 P.M, 6:06 P.M, 6:24 P.M, 6:42 P.M, 7:00 P.M, 7:18 P.M, 7:36 P.M, 7:54 P.M, 8:12 P.M, 8:30 P.M etc.

For bucket B, the next times it will dump water will be:

2:46 P.M, 3:02 P.M, 3:18 P.M, 3:34 P.M, 3:50 P.M, 4:06 P.M, 4:22 P.M, 4:38 P.M, 4:54 P.M, 5:10 P.M, 5:26 P.M, 5:42 P.M, 5:58 P.M, 6:14 P.M, 6:30 P.M, 6:46 P.M, 7:02 P.M, 7:18 P.M, 7:34 P.M, 7:50 P.M etc.

From above, we observe that the next two times both buckets dump water at the same time are 4:54 P.M and 7:18 P.M.

Hence, the next two times both buckets dump water at the same time are 4:54 P.M and 7:18 P.M.

Answer:

FG = 18

Step-by-step explanation:

FG + GH =  FH

FG + 31 = 49

Subtract 31 from each side

FG +31-31 = 49-31

FG = 18

Answer: FG is 18

Step-by-step explanation: FG + GH is FH, GH is 31 and then you substitute 31 in for GH which makes the equation FG+31=49 49-31 is 18 which means FG is 18

Hope it helps man .....

Answer:

B

Step-by-step explanation:

Its not (A) because the outcome is 24 x 18

Its not (C) because that would be (10)(9) which is the same as multiplication

Its not (D) because that would be (24)(18) which again is multiplication

We are looking for addition of 24 and 18 which is B

6 x 4= 24

6 x 3=18

24+18

Hope this helps (:

Answer: 15 motorcycles and 60cars

Answer:

D. y = 5

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Any parallel line to the x-axis will be a horizontal line.

Horizontal lines have a slope of 0.

In that case:

y = 0x + b

y = b

The only answer that fits in the y = b format is D.

Answer:

The equation of the line is y - 12 = [tex]\frac{5}{6}[/tex] (x + 9) ⇒ B

Step-by-step explanation:

The slope-point form of the linear equation is

y - y1 = m(x - x1), where

∵ The slope of a line is [tex]\frac{5}{6}[/tex]

∴ m = [tex]\frac{5}{6}[/tex]

∵ The line passes through point (-9, 12)

∴ x1 = -9 and y1 = 12

→ Substitute these values in the form of the equation above

∵ y - 12 = [tex]\frac{5}{6}[/tex] (x - -9)

→ Remember (-)(-) = (+)

∴ y - 12 = [tex]\frac{5}{6}[/tex] (x + 9)

∴ The equation of the line is y - 12 = [tex]\frac{5}{6}[/tex] (x + 9)

Answer:

a₂ = 243

Step-by-step explanation:

The term to term rule from left to right in the sequence is divide by 3

The term to term rule from right to left is the opposite, multiply by 3

Given

a₅ = 9, then

a₄ = 9 × 3 = 27

a₃ = 27 × 3 = 81

a₂ = 81 × 3 = 243 ← required term

Answer:

hi… I think it's written that way

Answer:

$7.69

Step-by-step explanation:

2.48+2.48+2.48= $7.44

then add 0.25 which is

$7.69

Answer:

25 percent

Step-by-step explanation:

60*.25 is 15

60-15 is 45. it is 15 dollars off or 25 percent off

The answer is proportion. A proportion basically equates two ratios.

A statement that two ratios are equal is called a proportion.

In a proportion, the four quantities involved are related in such a way that the first ratio is equal to the second ratio. It can be represented in the form of "a:b = c:d," where "a" and "b" are the terms of the first ratio, and "c" and "d" are the terms of the second ratio.

Proportions are used in various mathematical applications, such as solving problems involving ratios, scaling, similarity, and solving for unknown values. They provide a way to compare quantities and establish relationships between them based on their relative sizes.

Learn more about ratio here

https://brainly.com/question/23499990

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Answer:

9s-5g=-4u

*Isolating the S variable*

9s = -4u+5g

s = (-4u + 5g)/9

The answer is option B.

Answer:

B

Step-by-step explanation:

y = 2x - 3

.....20 characters smh

Answer:

Subset

Step-by-step explanation:

A subset is a group of elements whose values were obtained from a larger set known as the universal set.

For example, say we have a universal set of all the numbers from 10 to 20

{10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}

A subset of the even numbers include;

{10, 12, 14, 16, 18, 20}

A subset of the odd numbers include;

{11, 13, 15, 17, 19,}

These figures in the subset were derived from the universal set which is the larger set.

Answer:

0.8333 as a decimal or [tex]\frac{5}{6}[/tex] as a fraction.

Step-by-step explanation:

First, you would divide -5/8 and -3/4 in the parenthesis. Right after, you would divide the numbers you have in the parenthesis and you would end up with 0.8333 or [tex]\frac{5}{6}[/tex] both are equal.

Answer:

AAS

Step-by-step explanation:

Angles in left and right corner are congruent (isosceles triangle)

Two right angles in the middle

Answer:

x≥13

Step-by-step explanation:

add 9 to both sides

2x≥26

divide both sides by 2

x≥13

Answer:

Because they are fractions, any rational number can also be expressed in decimal form. Any rational number can be represented as either: a terminating decimal: 158=1.875 15 8 = 1.875 , or. a repeating decimal: 411=0.36363636⋯=0.

Step-by-step explanation:

Terminating decimals are those numbers which come to an end after few repetitions after decimal point. Example: 0.5, 2.456, 123.456, etc. are all examples of terminating decimals.

I tried my best on explaining, sorry if it didn't help.

Answer:

18g - 8

Step-by-step explanation:

Multiply using the distributive property.

Answer:

18g-8 is the answer

Step-by-step explanation:

You have to do distributive property, which you do -2 by -9g which end sup in a positive 18g,then you multiply -2 and 4, the result is and -8. - by + is -. + by - is -. + by + is +, - by - is +

Answer:1180,740

Step-by-step explanation:

2 night, so (400x2)+(150x2)+(40x2)=800+300+80=1180 this is cost to go and come back.

400+300+40=740 this is the cost for only going there and not coming back.

Answer:

24 in

Step-by-step explanation:

I hope this helps!

Answer:

24

Step-by-step explanation:

lXw= area