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Answer:

x = 3

y = -1

Step-by-step explanation:

→You can use the elimination method. To do this you must have either the x or y-values have the same value, but opposite signs. For this, we can choose y:

4x + 2y = 10

5x + 3y = 12

→Multiply (4x + 2y = 10) by -3, and (5x + 3y = 12) by 2:

-12x - 6y = -30

10x + 6y = 24

____________

-2x = -6

→Divide both sides by -2:

x = 3

→Plug in 3 for x into an equation:

4x + 2y = 10

4(3) + 2y = 10

12 + 2y = 10

2y = -2

y = -1

Answer: 88 cm

Step-by-step explanation:

The area of a circle is A=πr². Since we know the area, we can use find the radius, and use the radius to find the circumference,

616=πr²

196=r²

r=14

Now that we have the radius, we can use it to find the circumference. The formula for circumference is C=2πr.

C=2π(14)

C=28π

C=88 cm

Answer: 87.96 cm

Step-by-step explanation:

Radius = √a/π

=√616 / π = 14 cm

Circumference = 2πr

= 2 x π x 14

= 87.96 cm

Answer:

The change in latitude, Δφ, from Liverpool to Melbourne is 91.22° south

The change in longitude, Δλ, from Liverpool to Melbourne is 147.95° East

Step-by-step explanation:

The parameters given are;

The latitude of Liverpool is 53.41°

The longitude of Liverpool is -2.99°

The latitude of Melbourne is -37.81°

The longitude of Melbourne is 144.96°

The change in latitude from Liverpool to Melbourne = Δφ

Δφ = 53.41° - (-37.81°) = 53.41° + 37.81° = 91.22°

The change in latitude, Δφ, from Liverpool to Melbourne = 91.22° south

The change in longitude from Liverpool to Melbourne = Δλ

Δλ = -2.99° - 144.96°  = -147.95°

Therefore the change in longitude from Liverpool to Melbourne = 147.95° East.

Answer:

the difference in latitude is 91.22°

the difference in longitude is 147.95°

Explanation:

For Liverpool, London. The latitude is 53.41°, longitude is -2.99°

For  Melbourne, Australia. The latitude is -37.81°, longitude is 144.96°

The negative or positive magnitude of their values shows their position on either sides of the origin of the latitude (equator) and the origin of the longitude (prime meridian).

The latitude measures the relative position of a point, north or south of the equator (latitude 0°). The longitude measures the relative position, east or west of the prime meridian (longitude 0°)

the difference in latitude is 53.41° - (-37.81°) = 53.41° + 37.81° = 91.22°

the difference in longitude = 144.96° - (-2.99°) = 144.96 + 2.99 = 147.95°

Answer:28 if I’m not mistaken

Step-by-step explanation:

Answer:

4 pack priced at £2.04 is better value deal.

Step-by-step explanation:

The 4 pack is priced at £2.04

cost of one pack will be equal total price divided by no. of roll in one pack

cost of one pack will be  £2.04 /4 = £0.51

The 9 pack is priced at £4.68

cost of one pack will be  £4.68 /9 = £0.52

As price per toilet roll for  4 pack is  £0.51 which is less than

price per toilet roll for  9 pack which is  £0.52

4 pack priced at £2.04 is better value deal.

Answer:

4 pack priced at £2.04 is better value deal.

Step-by-step explanation:

Answer:The selling price of the outfit is $79.3

Step-by-step explanation:

18 + 12 + 35 = $65  

65* 22% = 14.3

14.3 + 65 = $79.3

or

100% + 22% =  122%

122% of 65

1.22 * 65 = 79.3

Answer:

1.5 * 4.7

Step-by-step explanation:

The top adds to 4+.7 = 4.7

The side adds to 1+.5 = 1.5

When they multiply it is

1.5 * 4.7

Answer:

The measure of variability should be used.

Step-by-step explanation:

It is provided that Rickie played eight rounds of miniature golf in June and eight rounds of miniature golf in July. He recorded the cores for each round.

Now to determine in which month Rickie's score varied the most the measure of variability would be used and not measure of center.

This is because:

The Measures of Central tendency is a distinct value that describe a data set by recognizing the central location within that data set. The measures of central tendency are every so often are known as measures of central location. They are also known as summary statistics.

Whereas the measure of variability is used to determine the amount of variability in the data set. They represent how far the observations are from the center of the data set.

Thus, to answer his mother's question, the measure of variability should be used.

Answer: C

Step-by-step explanation:

The enequality includes x values equal to or greater than -2 and less than(but not equal to) 1.

so the possible integers would be -2 -1 0.

Answer:

1/2

Step-by-step explanation:

The slope is one half, because every time x increases by 1, y increases by 1/2. You can find the slope using the rise over run strategy. You choose a point, and you also choose the point to the right of the point you first chose. You then count how many units up and to the right the right point is.

Its Up/Right.

This version of rise over run however only works when the line is going up.

Answer:

C. Square Root of 11

Edg 2020

Answer:

C

Step-by-step explanation:

edge 2020

Answer:

x= -9/4 or -3

second one is x=5/6 or -8

Answer:

see explanation

Step-by-step explanation:

Given

4x² + 21x + 27 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 4 × 27 = 108 and sum = 21

The factors are 12 and 9

Use the factors to split the x- term

4x² + 12x + 9x + 27 = 0 ( factor the first/second and third/fourth terms )

4x(x + 3) + 9(x + 3) = 0 ← factor out (x + 3) from each term

(x + 3)(4x + 9) = 0

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

4x + 9 = 0 ⇒ 4x = - 9 ⇒ x = - 2.25

--------------------------------------------------------------------

Following the same method as the previous question

Given

6x² + 43x - 40 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 6 × - 40 = - 240 and sum = + 43

The factors are + 48 and - 5, thus

6x² + 48x - 5x - 40 = 0

6x(x + 8) - 5(x + 8) = 0

(x + 8)(6x - 5) = 0

x + 8 = 0 ⇒ x = - 8

6x - 5 = 0 ⇒ 6x = 5 ⇒ x = [tex]\frac{5}{6}[/tex]

Answer:

5/6

Step-by-step explanation:

total possible = 36

Favorable = 6

1 6

6 1

2 4

4 2

3 4

4 3

Part/whole

6/36

= 1/6

NOT = 5/6

Answer: 905 cu. in.

Step-by-step explanation:

volume = (4/3) * π * r³

= (4/3) * π * 216

-3x+12x

Divide it all by three

-x+4x

Answer:

The answer is 9x

Step-by-step explanation:

-3x + 12x

12x - 3x = 9x

Answer:

Juanita dissolves 46 g of MgBr2 (molar mass: 184.11 g/mol) in 0.5 kg of distilled water. What is the molality of the solution?

Answer:

6m

Step-by-step explanation:

m =number of M&M's

3m=number of peanuts

2m=number of raisins

m+3m+2m=total number of pieces of food=6m

Answer:

Supplementary angles

Adjacent angles

Step-by-step explanation:

They add up to a straight line, which is 180 degrees, therefore they are supplementary.

They also share a side and the corner point, hence adjacent.

Answer: A,D              Supplementary Angles

                                  Adjacent Angles

Step-by-step explanation: K12 3.04 test

Answer:

The probability would be 5/15 or 1/3

Total = 7+3+5

= 15

yellow = 3

orange = 7

blue marbles = 5

Answer:

⇒Pgreen or yellow=5\11

Step-by-step explanation:

Probability here is the chance of selection out of a total. So, we need to first find the total number of marbles.

total

=

5

+

3

+

2

+

1

=

11

So there are

11

marbles total. The probability that we pick one of the

3

green marbles out of the

11

is simply that ratio:

P

green

=

3

11

Same idea for yellow:

P

yellow

=

2

11

The probability of picking either of these colors is simply the sum of their probabilities.

P

green or yellow

=

P

green

+

P

yellow

=

3

11

+

2

11

=

5

11

Answer:

Probability ≈ 0.0833

Step-by-step explanation:

Consider steps below;

[tex]Total Possible Outcomes - 9C6,\\\\9! / 6! ( 9 - 6 )!,\\1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 * 9 / ( 1 * 2 * 3 * 4 * 5 * 6)( 1 * 2 * 3 ),\\\\362,880 / 720 * 6 = Combinations - 84,\\\\[/tex]

[tex]Number Of Outcomes - 7C6,\\\\7! / 6! ( 7 - 6 )!,\\1 * 2 * 3 * 4 * 5 * 6 *7/ ( 1 * 2 * 3 * 4 * 5 * 6 ) ( 1 ),\\\\Outcomes - 7[/tex]

[tex]Conclusion ; Solution - 7 / 84 = ( About ) 0.0833\\Hope That Helps![/tex]

Solution; Probability ≈ 0.0833

Answer:

Its the first one

Step-by-step explanation:

10 and x is Greater than -2

Answer:

2378

Step-by-step explanation:

it is even. plus 8 is a multiple of 2

Answer:

2738

Step-by-step explanation:

2738 divided by 2 is 1369, and 1369 multiplied by 2 is 2738 also I checked on a calculator lol.

Answer:

k = 48

Step-by-step explanation:

k - 15 = 33

Add 15 to both sides

k - 15 +15 = 33 +15

k = 48

Answer:

6.5

Step-by-step explanation:

7-2=5-4.5=0.5

0.5ₓ3=1.5

8-1.5=6.5

Answer: I answered most of your question below

Step-by-step explanation:

Well in basic high school math, you prolly will never HAVE to factor square binomials. It becomes more of an issue when you take the limit, and there is a zero in the denominator and blah blah.

But to answer your question. You can pretty much factor any trinomial with the basic rule. Sometimes youll have to complete the square because the trinomial wont be factorable until then. The main use of factoring trinomials tho is to find the value of x. Most trinomials usually equal 0 when youre in high school math. So you factor and make both equations equal 0. Another case where you might need to factor is when you are dividing a trinomial by a binomial. You can factor the numerator and denominator and potentially cross out two terms that divide to equal 1. Overall, its really helpful.

I never really felt the need to actually factor square binomials. Its the thing like a^2 - b^2 = (a + b)(a - b), right? Its basically the same thing with what i said about the dividing stuff. One of those terms might be the exact same as one of the terms from the factored trinomial. Then you can cross out two entire terms

A trinomial is an expression that has three terms.

Square trinomial

A square trinomial is simply a perfect square trinomial, and it is represented as:

[tex]\mathbf{a^2 + 2ab + b^2 = (a + b)^2}[/tex]

Difference of square binomials

This is easily identified because, the terms of the square binomials are perfect squares.

The difference of square binomials is represented as:

[tex]\mathbf{a^2 - b^2 = (a + b)(a - b)}[/tex]

Sums and difference of cubes

When cubes are added or subtracted, they can be expressed using the following

[tex]\mathbf{a^3 + b^3 = (a + b)(a^2 - ab + b^2)}[/tex] --- sum of cubes

[tex]\mathbf{a^3 - b^3 = (a - b)(a^2 + ab + b^2)}[/tex] --- difference of cubes

Read more about binomial and trinomial at:

https://brainly.com/question/12289266

Answer:

A) $1.25

Step-by-step explanation:

If you divide the 3.87 by 3.05 you will approximately get 1.25

Answer:

a. 9

Step-by-step explanation:

[tex]k = \frac{9}{-3} = -3\\y = -3x\\-27 = -3x\\\frac{-27}{-3} = \frac{-3x}{-3} \\9 = x[/tex]

Answer:

a. 9

Step-by-step explanation:

because the orginal number was 9 and the newer one is -27 we can determine that y was multiplied by -3 so you would apply the same rule to -3 or x and you would get a product of 9 because two negatives equals a postive

Answer:

C

Step-by-step explanation:

how to find the correct one?

just see on the x² constant number. it's -5 so

from ABCD the only option give -5 is C

A. (-2)(-2) + (-1)(-1) = 5

B. (-2)(-2) + (1)(1) = 5

C. (2)(-2) + (-1)(1) = -5

D. (-2)(2) + (-1)(-1) = -3