At this point I’m just going to start singing songs ! For the caption

The answer is B. Hope this helped.

[1]   4x - 2y + 3z = 1

[2]   x + 3y - 4z = -7

[3]   3x + y + 2z = 5

Add -4 [2] to [1], and add -3 [2] to [3] to eliminate x :

-4 (x + 3y - 4z) + (4x - 2y + 3z) = -4 (-7) + 1

-4x - 12y + 16z + 4x - 2y + 3z = 28 + 1

[4]   -14y + 19z = 29

-3(x + 3y - 4z) + (3x + y + 2z) = -3 (-7) + 5

-3x - 9y + 12z + 3x + y + 2z = 21 + 5

-8y + 14z = 26

[5]   -4y + 7z = 13

Add 2 [4] to -7 [5] to eliminate y :

2 (-14y + 19z) - 7 (-4y + 7z) = 2 (29) - 7 (13)

-28y + 38z + 28y - 49z = 58 - 91

-11z = -33

z = 3

Plug this into either [4] or [5] to solve for y :

-4y + 7 (3) = 13

-4y + 21 = 13

-4y = -8

y = 2

Plug both of these solutions into either of [1], [2], or [3] to solve for x :

x + 3 (2) - 4 (3) = -7

x + 6 - 12 = -7

x = -1

Answer:

See Below

Step-by-step explanation:

6.333 x 10^2

10^2 = 100

since there is 2 zeros, move the decimal to the right twice.

633.3

Answer:

y = -5x+0

or y = -5

because the gradient is -5 and the y intercept is 0

Answer:

540 minutes in hours =540/60

=9 hours

The time 540 minutes in hours will be 9 hours.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the time is 540 minutes. The value of time in hours will be calculated as,

The time of 60 minutes is equal to 1 hour. So divide the time 540 minutes by 60 minutes.

Time = 540 / 60

Time = 9 hours

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Answer:

the answer is (-4,1)

Step-by-step explanation:

Answer:

It's A

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

If the ratio is 5:2, then you just have to divide 5 / 2.

5 / 2 = 2.5

Answer:

If 5 cups of flour= 2 cups of sugar

1 cup=1×2/5

        =2/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

It matters what the order is when you do the rounding.

5481 = 5500

0.605 = 1

The rounded answer is 5500 / 1 = 5500

However if you do the question and then round you get a much closer answer.

5481 ÷ 0.605 = 10712

Answer:

12

Step-by-step explanation:

-4 + 4 = 0

0 + 8 = 8

4 + 8 = 12

Answer:

the answer is 27

i did this by doing 6 x 2 which is 12 so i then did 16 - 12 which is 4 then i add the 2 in it which is 42 i then did 6 x 7 which is 42 and thats 0

this is my statement and i did this on paper and got this right!

Answer:

27

Step-by-step explanation:

See photo below

Answer:

4 is the correct answer.

Step-by-step explanation:

If you're taking FLVS math then this is the right answer, I got it correct on my test.

The required measure of EF is 4. Option c is correct.

ΔABC ≅ ΔEDF
A(−1, 1), B(2, 4), and C(3, 1).

In congruent geometry, the shapes that are so identical. Can be coincide to themselves.

Here,
ΔABC ≅ ΔEDF
SO, AC = EF
EF = [tex]\sqrt{(3+1)^2+(1-1)^2 }[/tex]
EF = 4

Thus, the required measure of EF is 4.

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Answer:

14.385 ounces

Step-by-step explanation:

Converting grams to ounces:

1g ----- 0.035 ounces

411g ----- ?

Since we multiply 411 to the left hand side, multiply the left hand side by 411 too.

411g

= 0.035(411) ounces

= 14.385 ounces

Thus, the can contains 14.385 ounces of fruit.

Answer:

60 adults

Step-by-step explanation:

There are 60 adults in the dance because as we have 150 people and the ratio of adults to students is 2:3, we need to add 2+3=5. Now we have 5 parts, so 150÷5=30. This means that there are 30 people per part, and as adults hold 2 parts of it, 30 x 2=60. So, there are 60 adults in the dance. Hope it helps!

Answer:

a = 730.43

Step-by-step explanation:

The formula for this type of problem is [ a = kb²/c³ ].

We are given a = 171, b = 8 and c = 9.

Solve for k.

171 = k(8)²/(9)³

k = 1947.80

Solve for a since we found k using b = 9 and c = 6.

a = (1947.80)(9)²/6³

a = 730.425

Round to the nearest hundredth.

730.425 → 730.43

Best of Luck!

Answer:

730.42

Step-by-step explanation:

a varies directly with the square of b, and inversely with the cube of c.  Therefore:

a = k b² / c³

where k is the constant of proportionality.

a = 171 when b = 8 and c = 9.  So the value of k is:

171 = k (8)² / (9)³

k ≈ 1947.8

So the value of a when b = 9 and c = 6 is:

a = 1947.8 (9)² / (6)³

a ≈ 730.42

Answer:

-7/4

Step-by-step explanation:

Since we have two points we can use the slope formula

m = ( y2-y1)/(x2-x1)

  = ( 3 - -4)/( -3 -1)

  ( 3+4) / ( -3 -1)

   7/-4

   -7/4

Answer:

48 1/4

Step-by-step explanation:

plug in the values of m,n,p

4*7+23+2/8-3

= 28+23+1/4-3

= 28+23-3+1/4

= 28+20+1/4

= 48 1/4

Answer:

im not sure but I think is c

Answer:

B. 25%

Step-by-step explanation:

25 percent of 60 would be 15, then if you subtract 15 from 60, you end up with 45, meaning that 25 percent was subtracted.

The percentage is the ratio of change with respect to the original thus cost of a pair of shoes has been reduced by 25% thus option (B) will be correct.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The initial cost of a pair of shoes = $60

Final cost of a pair of shoes = $45

Change in cost = 60 - 45 = 15

The percentage change = change / initial value

Percentage = 15/60

⇒ 0.25 × 100 = 25%

Hence "The cost of a pair of shoes has been reduced by 25%".

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Answer: 6 trips

Step-by-step explanation:

Answer:

Use a^2 + b^2 = c^2 and substitute

18^2 + 24^2 = c^2

Solve what we know

324 + 576 = c^2

324 + 576 = 900

Square root 900 to get C

sqrt of 900 equals 30

So, yes he can fit the baseball bat in his suitcase

Answer:

a

    [tex]P(M  \  n \  J ) = 0.0802 [/tex]

b

  Yes

Step-by-step explanation:

From the question we are told that

    The  probability that a random  selected person of age 40  years or older  is a jogger is [tex]P(J) =  0.274[/tex]

    The  probability that a random  selected person of age 40  years or older  is a male given that he/she jogs  is  [tex]P(M |J) = 0.293[/tex]

Generally the probability that a randomly selected person age 40 years or older is male and jogs

    [tex]P(M  \  n \  J ) = P(M|J) *  P(J)[/tex]

    [tex]P(M  \  n \  J ) = 0.293 * 0.274 [/tex]

     [tex]P(M  \  n \  J ) = 0.0802 [/tex]

Generally it would  be unusual  because the probability that a randomly selected person age 40 years or older is male and jogs is  greater than 0.05[border line for statistical  significance]

Answer:

true

Step-by-step explanation:

Because it is

Answer:

k = 10

Step-by-step explanation:

9 - 5k = 12 - (6k + 7)

open the parenthesis

9 - 5k = 12 - 6k - 7

add 6k to both sides of the equation

9 - 5k + 6k = 12 - 6k - 7 + 6k

combine like terms

9 + k = 19

subtract 9 from both sides of the equation

9 + k - 9 = 19 - 9

k = 10

Answer:

true

Step-by-step explanation:

if the vertical lines are not parallel, then the corresponding angles are not congruent.

8x + 2 = 14x - 76

8x - 14x = -76 -2

-6x = -78

x = 13

8(13) + 2 = 14(13) - 76

106 = 106---- equal

the vertical lines is a bit confusing.... they looks like not a parallel lines