Elijah played 98 consecutive games of soccer without being taken off the field. Then, after a single game on the sidelines, he played another string of consecutive games, although this string was 50% shorter. How many consecutive games was that?

Answer:

The solution of the given equations

x = 3 and y =-2.5

Step-by-step explanation:

Step(i):-

  x - 2y = 8 ..(i)

3x = 19 +4y ..(ii)

By using substitution method

substituting  x = 2y +8 in equation (ii)

 ⇒  3( 2y +8) = 19 +4y

⇒   6y +24 = 19 +4y

⇒  6 y - 4y = 19 - 24

⇒   2 y = -5

   [tex]y = \frac{-5}{2} = -2.5[/tex]

Step(ii):-

Substitute 'y' = -2.5 in equation (i) , we get

         x - 2y = 8

   ⇒  x - 2( [tex]\frac{-5}{2}[/tex]) =8

  ⇒  x = 8 -5

      x = 3        

Final answer:-

The solution of the given equations

x = 3 and y =-2.5

Answer:

x = 0 , 2/3

Step-by-step explanation:

3x^3-x^2=x^2

3x^3-2x^2=0

x^2(3x-2)=0

Now split into two equations:

1)

x^2=0

x=0

2)

3x-2=0

3x=2

x=2/3

Answer:

NO

Step-by-step explanation:

It is a right triangle if the thee sides satisfy the following pythagorean triple rule/theorem, c² = a² + b², where,

c is the longest side = 50

a = 15

b = 49

Let's check:

50² = 15² + 49²

2500 = 2626 (this is not true).

Therefore, the triangle is not a right triangle. The answer is NO.

Answer:

Step-by-step explanation:

2 votes

Answer:

6 miles per minute.

Step-by-step explanation:

All you need to do is, divided 720 into 120, and you will get your answer. :)

Answer:

[tex]h= 2x[/tex]

Step-by-step explanation:

Given

Square

[tex]Side = x[/tex]

Triangle

[tex]Base = x[/tex]

[tex]Altitude = h[/tex]

Required

Find h, if both shapes have the same area

The area of the square is:

[tex]Area = x * x[/tex]

[tex]Area = x^2[/tex]

The area of the triangle is:

[tex]Area = \frac{1}{2} * Base*Height[/tex]

[tex]Area = \frac{1}{2} * x*h[/tex]

Equate both areas

[tex]x^2 = \frac{1}{2} * x*h[/tex]

Divide both sides by x

[tex]x = \frac{1}{2} *h[/tex]

Multiply both sides by 2

[tex]2*x = \frac{1}{2} *h*2[/tex]

[tex]2x = h[/tex]

[tex]h= 2x[/tex]

Answer:

x = 3.5

Step-by-step explanation:

[tex]\frac{4}{7}[/tex] = [tex]\frac{2}{x}[/tex]

4x = 14

x = 3.5

Answer:

A

Step-by-step explanation:

f(2 – 3i) = (2 – 3i)^2

f(2 – 3i) = (2)^2 + (-3i)^2

f(2 – 3i) = 4 + (9)(-1)

f(2 – 3i) = 4 - 9

f(2 – 3i) = -5

These are functions in another function. The result of the function f(2-3i) is -5-12i

These are functions in another function. Given the function shown below;

f(x) =  x²

In order to determine  f(2 – 3i), you will replace as 2 - 3i to have:

f(2 - 3i) = (2 - 3i)²

Expand
f(2 - 3i) = 2² - 12i + 9i²
f(2 - 3i) =4 - 12i - 9
f(2 - 3i) = -5-12i

Hence the result of the function f(2-3i) is -5-12i

Learn more on composite function here: https://brainly.com/question/13502804

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Answer:

A) car one is linear because it decreases the same amount every year.  

    car two decreases by the same ratio so it's exponential.  

B) for car one y = -6,000x + 38,000 (y is the value after x years, -6,000 is what it changes by every year, and 38,000 is the amount of year 0)

   for car two y = (44,000) (17/20)x-1 (y is the value after x years, 44,000 is the amount on year 0, and 17/20 is the ratio)

C) after 5 years car one will be 8,000

    after 5 years car two will be about 16,860

Answer:

It is hard to see the numbers.

But I am pretty sure it is 6x+6.

Step-by-step explanation:

Hope this helps! :D

Answer:

C

Step-by-step explanation:

Answer:

b) y = f(x) = -3x+4

Step-by-step explanation:

Explanation

Given that the equation   9x+3y =12

Let 'x' be an independent variable and 'y' be the dependent variable then the function is of the form

        y = f(x)

      3 y = 12 - 9x

        [tex]y = \frac{-9x+12}{3}[/tex]

      y = -3x+4

The function represented by  y = -3x+4

Answer:

Step-by-step explanation:

Lets find out first the Area of the rectangle building

A=50*100=5000 ft^2

we have 2 circles with the radius of 42 ft, r=21ft

Acircle=3.14*(21)^2=1384.74

Area of 2 circles=2*1384.74=2769.48

What is not covered by the rings is

5,000.00-2769.48=2230.52, rounded is 2231

Choice A

Answer:

hope this is what u want

and u find it helpful

Answer:

x=3

Step-by-step explanation:

y=10x

y=-3x + 39

10x = -3x + 39

+3x (to both sides)

13x = 39

Divide by 13

x=3

Answer:

D

Step-by-step explanation:

We can safely assume we are dealing with an arithmetic scale because the type of scale isn't mentioned anywhere. The more right a point is on the scale, the higher its value is. We are given two points of the scale: 3 and 4. Because the scale is arithmetic, we know that 3.8 must lie on 4/5s of the length between 3 and 4 to the right of 3, which is exactly where point D is.

Answer:

Answer:

5.46π cm³

Step-by-step explanation:

Volume of sphere= 4/3πr³

= 4/3×π×(1.6)³ cm³

=5.46π cm³

hope this helped you!

Answer:

90 cm

Step-by-step explanation:

Given that :

Perimeter of a rectangle = 2(Length + Width)

Perimeter of print area = 2(100 + 140) = 480cm

Perimeter of entire poster :

Let uniform width of blank strip = x

x on each of the 4 sides side ;

2(2x + 100 + 2x + 140)

2(4x + 240)

8x + 480

Perimeter of poster = 1 2/3 perimeter of print area

8x + 480 = 5/2(480)

8x + 480 = 1200

8x = 1200 - 480

8x = 720

x =. 720 / 8

x = 90 cm

Answer:

15.5 meters of wood.

Step-by-step explanation:

Find the perimeter of the box.

2(1.50)+2(6.25)=15.5

Answer:

15.5 m of wood

Step-by-step explanation:

The perimeter of this 1.5 m by 6.25 m frame is a measure of the length of wood needed.  Here P = 2(1.5 m) + 2(6.25 m) = 3 m + 12.5 m, or 15.5 m

Answer:

angle 4

its on the outside and it is alternate

Answer:

d

Step-by-step explanation:

Answer:

mean=56.28ml

The mean is greater than most of the observations because of the two outliers

Step-by-step explanation:

mean=56.28ml

The mean is greater than most of the observations because of the two outliers.

Answer:

the awnser should have is. b

Answer:

Step-by-step explanation: 10/2 = 5

20^2= x^2 + 5^2

400=x^2+25

x^2=375

x= 19.4

Answer:

h = 19.36 cm

Step-by-step explanation:

using Pythagorean theorem

20^2-5^2 = h^2

h^2 = 375

h = 19.36 cm

Answer:

6%

Step-by-step explanation:

Simple interest:  A = P(1 + rt)

Solve for r: r = (1/t)((A/P) - 1)

Given:

A = $1500 + $5000 = $6500

P = $5000

t = 5 yrs

r = (1/5)((6500/5000) - 1)

= (1/5)(0.3)

= 0.06

0.06 = 6%

Answer:

21 small dogs, 42 total dogs

Step-by-step explanation:

7×3=21

7+7=14

14×3=42

Step-by-step explanation:

a) x=0, y=6

x=1, y=4

x=2 , y=2

x=3, y=0

x=4, y= -2

y= 6-2x

b) look at the attachment.

c)

6-2x=3

-2x=-3

x=3/2

Answer:

24

Step-by-step explanation:

x * 5 - 17 = 103

x * 5 = 120

x = 24

Answer:

s=24

103+17=120

120÷5=24

making the answer 24

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