2) Find the greatest common divisor and the least common multiple of 105 and 84.

Answer:

31/4

Step-by-step explanation:

The Mixed Number 7 3/4 can be changed into the improper fraction 31/4.

step 1: The denominator of the improper fraction will be 4, since the denominator of the original fraction is 4.

to find the improper fraction, multiply the denominator of the original fraction (4) by the whole number (7). 4x7=28 then add the numerator of the original fraction: 28+3=31. This tells you the numerator of the improper fraction will be 31.

The improper fraction is 31/4.

Answer:

1/4

Step-by-step explanation:

First u subtract both sides by 9

12x + 9-9= 4x + 7-9 = 12x = 4x + 2

Then u subtract

12x= 4x - 2

12x - 4x =4x - 2 - 4x=

and this will get u 1/8 but then u simplify and get 1/4

Answer:

Step-by-step explanation:

Last week, the typical amount of money spent by kids in the cafeteria ranged from $2.25 to $3.25.

Equations are logical assertions in mathematics that have two algebraic expressions on either side of an equals (=) sign. The expression on the left and the expression on the right are shown to be equal in reference to one another. LHS = RHS (left hand side = right hand side) appears in all mathematical equations.

A mathematical equation can have many different components, such as coefficients, variables, operators, constants, terms, expressions, and an equal sign. An "=" symbol, as well as terms on both sides, are required when writing an equation.

Given:

Average amount spend = $2.75

Let x be the average dollar amount that students spend.

Then, the equation can be

|x - 2.75| = 0.5

Now, we have two values one is positive and another is negative

x - 2.75 = 0.5 or -(x - 2.75) = 0.5

x = 3.25 or x = 2.25

Hence, Last week, the typical amount of money spent by kids in the cafeteria ranged from $2.25 to $3.25.

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Answer: 187 push ups

Step-by-step explanation:

34/2=17 push ups per minute

11 minutes * 17 push ups/1 minute =187 push ups

There are 1250 skiers and 2500 snowboarders bought season passes.

The substitution technique is a mathematical approach for solving simultaneous linear equations. The value of one variable with one equation is substituted in the second equation, as the name implies.

The ratio of 1:2 indicates that there is one skier for every two snowboarders.

Let S stand in for the skier.

B should symbolize the snowboarder.

This condition is equivalent to = 1:2 = S:B.

Alternatively, 2S = B.

B - S = 1250

2S - S = 1250

Applying substitution method.

s = 1250

B = 2S = 2(1250) = 2500

B = 2500

There are 1250 skiers and 2500 snowboarders.

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I understand that the question you are looking is:

The Speedy Fast Ski Resort has started to keep track of the number of skiers and snowboarders who bought season passes. The Ratio of the number of skiers who bought season passes is 1:2.If 1,250 more snowboarders bought season passes than skiers, how many skiers bought season passes?

The price of the T-shirt is $ 12

The price of the Sweatshirt is $ 22

Let the Price of a T-shirt is  $x, then the Price of a Sweatshirt is $(x+10)

In The Given Question, 50 T-shirts and 40 Sweatshirts are sold at $1480

Then,

50x + 40(x+100) = 1480

50x + 40x + 100 =1480

90x + 400 = 1480

90x = 1480 - 400

90x = 1080

x= [tex]\frac{1080}{90}[/tex]

x = 12

The price of the T-shirt is $ 12 and the Price of the Sweatshirt is $ 22

The price of the T-shirt is $ 12

The price of the Sweatshirt is $ 22

A price is the amount of money that is (often not negatively) exchanged from one party to another in exchange for their goods or services. The cost of production may go by another name in some circumstances. If a product is classified as a "good" in a commercial exchange, its price is most likely to be referred to as such. However, there will be alternative titles for this thing if it is a "service." For instance, the graph at the bottom will display various circumstances.

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Answer:

Step-by-step explanation:

375355

Answer:

D

Step-by-step explanation:

I used the Distributive Property of Exponents. This property states that (xy)^n=x^n * y^n. It distributes the power to all the values in the base.

Hence (2x)^6=2^6 * x^6==> D

Answer:

Step-by-step explanation:

Using the concept for a relation to represent a function, it is found that graphs 2, 3, 4 and 5 are functions.

A relation represents a function when it value of the input is associated to only one value of the output.

On a graph, it means that each value of x has only one equivalent value of y, that is, there are no vertically aligned points.

In this problem, we have that:

All the other graphs are functions.

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Answer:

These two are both correct.

6.432 × 10^6

64.32 × 10^5

Explanation below

Hope this helps :)

Step-by-step explanation:

1. 9.6 × 6.7 = 64.32

Add the two powers 3 + 2 = 5

64.32 × 10^5

2. Move the decimal 1 time to the left, then that would add 1 power of ten to 10^5 to get 10^6.

6.432 × 10^6

Answer: There are 17 nickels and 8 dimes

[tex] = { \blue{ \tt{2}}}[/tex]

Step-by-step explanation:

[tex]{ \red{ \tt {\frac{9( - 2) + 8}{ - 5}}}}[/tex]

[tex] = { \red{ \tt{ \frac{ - 18 + 8}{ - 5}}}} [/tex]

[tex] = { \red{ \tt{ \frac{ - 10}{ - 5}}}} [/tex]

[tex] = { \red{ \tt{2}}}[/tex]

The car's speed to feet per minute is  80.67ft per second.

What is speed?

1 mile = 5280 feet 

so 55 miles = 55*5280 = 290,400ft 

there are 60 seconds in 1 minute and 60 minutes in 1 hour 

so 1 hour = 60*60 = 3600 seconds 

55mile/1hour = 290400ft/3600 seconds = 80.67ft per second

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For ΔDEF, Where e=52, f=41 and ∠F=48°. Find all the possible ∠E to the nearest degree.

The possible ∠E to the nearest degree is ∠E=70°

Given that,

ΔDEF with e=52 and f=41 sides of the triangle.

Angle ∠F=48°.

We have to find ∠E=?

By using the Law of sine

The relationship between the sides and angles of non-right (oblique) triangles is known as the Law of Sines. It simply states that for all sides and angles of a given triangle, the ratio of the length of a side to the sine of the angle opposite that side is the same.

If triangle ABC are there with sides a, b, and c then Law of sine is

[tex]\frac{a}{SinA} =\frac{b}{SinB} =\frac{c}{SinC}[/tex]

Now, in the given triangle we have e and f sides so we take

[tex]\frac{SinE}{e}=\frac{SinF}{f}\\[/tex]

Substituting the values of e, f and F

We get,

[tex]\frac{SinE}{52}=\frac{Sin48^\circ}{41}\\ SinE=\frac{Sin48^\circ}{41}\times52\\SinE=\frac{52}{41} \times Sin48^\circ\\SinE=1.268\times 0.743\\SinE=0.942\\E=Sin^{-1}(0.942)\\[/tex]

∠E=70°

Therefore, The possible ∠E to the nearest degree ∠E=70°.

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Step-by-step explanation:

a. 8 × -1 = -8 or -2 × 4 = -8

8 ÷ -1 = -8 or 32 ÷ -4 = -8

b. -3 × 5 = 15 or 15 ×(-1) = -15

45 ÷ -3 = -15 or 225 ÷ -15 = -15

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The equation for the line through the point (-7,-4) and parallel to the line y = 8x - 4 in point-slope form is y = 8x + 52

The first equation is given as

y = 8x - 4

The slope of the above equation is

m = 8

Parallel lines have equal slope

So, the slope of the other line is

m = 8

The equation is then calculated as

y = m(x - x1) + y1

Where

m = 8

(x1, y1) = (-7, -4)

So, we have

y = 8(x + 7) - 4

Expand

y = 8x + 56 - 4

Evaluate the difference

y = 8x + 52

Hence, the equation for the line through the point (-7,-4) and parallel to the line y = 8x - 4 in point-slope form is y = 8x + 52

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Answer:

x<-7

Step-by-step explanation:

4-x-2<-3(x+4)

Step-by-step explanation:

500+40+6+220+88000=

88766

Answer: 5 or 5 [tex]\frac{0}{3}[/tex]

Step-by-step explanation:

3*1=3 ==> 1st box value

3*2/3=6/3=2 ==> 2nd box value

3+2=5

5=5 [tex]\frac{0}{3}[/tex]

Answer:

40

Step-by-step explanation:

Multiply each number of choices to get the total amount of choice combinations available.

5 syrup flavours * 2 types of coffee * 4 types of milk = 40 combinations.

5 * 2 * 4 = 40.

Answer:

0.0000398 cubic ft.

Step-by-step explanation:

Answer:

C. They are similar because corresponding sides are proportional.

Step-by-step explanation:

A and B are not are not how you would find similar triangles, so you can rule those answers out. We can also rule out D since the triangles aren't congruent - we can see they have different lengths. This leaves option C.

Here's how to check:

We'll take the ratio of FD:DE, which is 9:12.

9 ÷ 12 = 0.75

The corresponding sides on the second triange are CA:AB, which is 12:16

12 ÷ 16 = 0.75

9:12 = 12:16

The two traingles are similar & have proportional corresponding sides

Answer:

1,440

Step-by-step explanation:

London 962

Rio       +118.5%

One percent of 962 is 9.62 you get that by moving the decimal place over one place, multiply by 118.5 to get 1,139.97 there is no partial medals so round to the nearest whole number and you get 1,140.

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A numerical expression to represent the greatest total number of fish that could be in both aquariums is Number in Tiger barb + number in giant danios.

The Greatest number of fishes that could be in both aquariums is 14.

We are given that;

Tiger barbs = 30 gallon aquarium

Giant danios = 20 gallon aquarium

Tiger barb = volume / length

Tiger barb = 30 / 3

Tiger barb = 10 fishes

Giant danios = volume / length

Giant danios = 20 /5

Giant danios = 4 fishes

Numerical expression is:

Number in Tiger barb + number in giant danios

= 10 + 4 = 14

Therefore, the correct numerical expression that represents the greatest total number of fish that could be in both aquariums is Number in Tiger barb + number in giant danios.

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Your question was incomplete. Please refer the content below:

There are tiger barbs in a 30-gallon aquarium and giant danios in a 20-gallon aquarium

Use the rule to solve this problem. The rule for the number of fish in an aquarium is to allow 1 gallon of water for each inch of length.

Giant Danio=5 inch length

Tiger barb=3 inch length

What is the correct numerical expression that represents the greatest total number of fish that could be in both aquariums?

The quotient of the given complex number is 7/13 - 15/13i

Given the division expression

(10 – 4i) ÷ (5 + i).

This can also be expressed as:

10-4i/5+i

On rationalizing, we will have:

10-4i/5+i * 5-i/5-i

50-10i-20i-4(-1)/25-(-1)

50-30i+4/26

54-30i/26

27/13 - 15/13i

Hence the quotient of the given complex number is 7/13 - 15/13i

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Answer: D [tex]\frac{23}{13} - \frac{15}{13} i[/tex]

Step-by-step explanation:

Answer:

  a = 4

Step-by-step explanation:

You are given an arithmetic sequence with second term 5.5 and fifth term 10. You want to know the first term.

The 2nd term will have 3 times the common difference added to it to make the 5th term. Then that difference can be found from ...

  5.5 +3d = 10 . . . . using 'd' for the common difference

  3d = 4.5

  d = 1.5

The second term (a2) is obtained by adding the common difference (d) to the first term (a1):

  a2 = a1 +d

  5.5 = a1 + 1.5

  4.0 = a1

The value of 'a' is 4.

__

Additional comment

The 'd' we're using here to represent the common difference is not to be confused with the 'd' in the problem statement that represents the fourth term of the list.

The fact that adjacent list members have the same difference is what tells you this is an arithmetic sequence. In terms of the problem statement, you have ...

  {a, b, c, d, e} = {4, 5.5, 7, 8.5, 10}

Here, we have used the more common notation for elements of an arithmetic sequence.

Answer:

by using BADMAS rule

Step-by-step explanation:

3(53+100)-12

3×153-12

459-12

447answer

Answer:

447

Step-by-step explanation:

i think the bodmas rule applies first so brackets first which means 53+100 then you times the by 3 and finally that answer you minus it by 12 and even if you put the whole expression on the calculator thats the same answer you will get.

what is the prevention of corruption finish give my answer to me

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