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Answer:

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought. An equation system is usually classified in the same manner as single equations, namely as a: ... System of difference equations

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Answer:

1) -20.5

-8

4.5

13

2) 9

4

-1

-6

3) 2

4

6

8

Step-by-step explanation:

plug in the x values, then use pemdas

Answer:

9.55 cm

Step-by-step explanation:

A quadrant of a circle is 1/4 of a circle.

Since the curved edge is 15 cm, a full circle would be 60 inches.

60/Pi = diameter

diameter = 60/3.14 = 19.11 cm

diameter/2 = radius

radius = 19.22/2 = 9.55 cm which is the length of a straight edge.

Answer:

Number of boys who attended the community service event = 10

Step-by-step explanation:

Let [tex]x[/tex] denotes number of girls and [tex]y[/tex] denotes number of boys.

Twenty-six students attended the community service event.

So,

[tex]x+y=26[/tex]

The number of girls was 4 fewer than twice the number of boys.

[tex]x=2y-4[/tex]

Put [tex]x=2y-4[/tex] in [tex]x+y=26[/tex]

[tex]2y-4+y=26\\3y=26+4\\3y=30\\y=10[/tex]

So,

Number of boys who attended the community service event = 10

Answer:

Step-by-step explanation:

First factor the polynomials and reduce the fractions.

Answer:

i need points sry i needa ask a question

Step-by-step explanation:

Answer:

multiply the area of that triangle by 2

Step-by-step explanation:

Alternate interior angles are congruent. so ∠3 = ∠6 -------> by alternate interior angles.

________________

Hope this makes sense!

-Lexi

Answer:

x= 73

y= 13

Step-by-step explanation:

The sum of the angles opposite the exterior angle = the exterior angle so

x= 141-68

x= 73

The angle sum of a triangle= 180.

180-68-73= 39

since there are 3 "y"s we need to divide 39 by 3

39/3= 13

Answer:-8

Step-by-step explanation:

The data represent a linear function because there is a common difference of -9.

The term linear function refers to two distinct but related notions: In calculus and related areas, a linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.

Given, the table, we need to see whether the data in the table represent a linear function or an exponential function.

From the table, we have the following highlight :-

As the values of x increase by 1, the values of y decrease by 9

A decrement of 9, means -9

This means that, the common difference is -9.

Only a linear function can have a common difference.

Hence, the true statement is (b)

Read more about linear functions at:

brainly.com/question/15602982

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Answer:

the initial amount of investment is 1000$, it grows at a rate of 1.1%, and the value after 10 years is 2853.12.

Step-by-step explanation:

i hope this helps!

Answer:

MP =8

Step-by-step explanation:

QR = 1/2 MP

76 -8x = 1/2 (89 - 9x)             Multiply both sides by 2

152 - 16x = 89 - 9x                Subtract 89 from both sides

152-89 - 16x = - 9x                Add 16x to both sides.

63 - 16x +16x = 16x  - 9x

63 =7x                                  Divide by 7

x = 63/7

x = 9

MP = 89 - 9*9

MP = 8

Answer:

can't see the question ⁉️

Answer:

I dont know lol...........

Answer:

n((2n+3)(5n+2x))

Step-by-step explanation:

that is the step by step solution

Answer:

Step-by-step explanation:

I can help

Step 1

(5n^2+10xn)(2n-3)  Factorise

Step 2

5n^2+10xn factor

5n(n+2x)

5n(n+2x)(2n-3)

Answer

5n(n+2x)(2n-3)

Hope this helps

Answer:

41.2 inches tall

Step-by-step explanation:

53.56 / 1.3 = 41.2

Step-by-step explanation:

Let Raj's sister's height be x

53.56= 1.3x

= 53.56/1.3=x

= 41.2=x

Answer:

Use symbolab

Step-by-step explanation:

Answer:

a. The width of the rectangle is x-2cm

b. length is 21.5 cm and breadth is 19.5cm

c. area is 419.25 cm sq.

Step-by-step explanation:

Let the length be x and the breadth be x-2

perimeter = 84 = 2(l+b) = 2×(x+x-2)

2×(2x-2)=84

4x-2 = 84

4x = 86

x= 86/4

x= 21.5

length is 21.5 and breadth is 21.5-2 = 19.5

area = l×b

= 21.5 ×19.5

= 419.25cmsq.

hope it helps

Answer:

59.85

Step-by-step explanation:

The scores on a mathematics exam have a mean of 70 and a stadard deviation of 7. Find the x-value that corresponds to the z-score -1.45.

We solve the above question using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 70

σ is the population standard deviation = 7

z = -1.45

Hence:

-1.45 = x - 70/7

Cross Multiply

-1.45 × 7 = x - 70

-10.15 = x - 70

x = -10.15 + 70

x = 59.85

Answer:

3

Step-by-step explanation:

15*1/5= 3

Answer: -9 and 7

Step-by-step explanation: [tex]-9x7=63[/tex] and [tex]-9+7=-2[/tex]

The the fewest number of tire rotations is 42 to travel the entire distance of the driveway.

It is given that the driveway that is 200 feet long and the tire diameter is 18 inches.

It is required to find the fewest number of tire rotations a tire will make to travel the entire distance of the driveway.

It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).

Driveway length = 200 feet

Diameter of the tire = 10 inches

For converting it to feet divide by 12.

Now the diameter of tire = 18/12 = 1.5 feet

Radius of the tire = 0.75 feet

We know the perimeter of the circle:

[tex]\rm P = 2\pi r[/tex]

P = 2(π)(0.75)

P = 4.71 feet   ( π =3.14 and P = 0.75)

[tex]\rm number \ of \ tire \ rotations = \frac{Driveway \ length}{Perimeter \ of tire}[/tex]

[tex]= \frac{200}{4.71}[/tex]

Number of tire rotation = 42.462 ≈ 42

Thus, the the fewest number of tire rotations is 42 to travel the entire distance of the driveway.

Learn more about circle here:

brainly.com/question/11833983

Answer:

2/10 or 20%

Step-by-step explanation:

Because 4 and 8 are the only numbers 1-10 that are divisible by four.

This would give Amy a 2/10 chance of rolling a number divisible by 4.

To turn 2/10 into a percent, the denominator has to be 100 so if you multiply 10 by 10 you will get 100, you will also have to multiply 2 by 10 to get 20 and you will get 20/100

20/100 is equal to 20%

Therefore your answer would be 2/10 or 20%

Hope this helps

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Answer:

Slope is 4. Use the slope formula to solve it.

Answer:

Slope (m) =  

ΔY

ΔX

=  

4

1

= 4

Step-by-step explanation:

Answer:

X is directly proportional to y means the value of x is dependent on the value of y. y may not be dependent on x in this case.

Y is directly proportional to x means the value of y is dependent on the value of x. Same as above, in this case, the value of x may not depend on y.