If JL = 8x-3 and LK = 4x + 57, Find JK

Based on the information given, the value of x is 28 which means that Rovers scored 28 goals.

Number of goals scored by Rovers = x

United scored 8 goals more than rovers. This will be = x + 8

City scored 3 goals less than twice the number of goals scored by rovers. This will be: = 2[x} - 3 = 2x - 3

Since the three teams scored a total of 117 goals, this will be:

x + x + 8 + 2x - 3 = 117

Collect like terms

4x = 117 - 8 + 3

4x = 112

x = 112/4

x = 28

The value of x is 28

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Step-by-step explanation:

n(U) = 65

n(L) = 35

n(K) = 24

n(LUK) = 15

n(LnK) = x

Since we don't know the intersection (x), we have not also known the real value of Set L and K. Therefore, it is expressed as:

35-x and 24-x

Add the terms together and equate to the universal set :

35-x + x + 24-x + 15 = 65

35 + 24 + 15 + x-x - x = 65

74 - x = 65

- x = 65 - 75

-x = - 9

divide through by -1, you'll get:

x = 9

Therefore, the number of students who like both is 9.

Answer:

C. y>x

y>4

Step-by-step explanation:

the line passes y intercept (0,4) is y = 4

the line passes (0,0) and (5,5) is y = x

so, the system of inequalites of the shaded area is : y>x and y>4 (option C)

Answer:

x=8

Step-by-step explanation:

This is a simple one-step algebraic equation. In algebra, to find x you must isolate the variable. To do this, use the property of equality. This property states that an equation is still true if you do the same thing to both sides. For example, the equation would still be true if you added 1 to both sides.

To isolate x divide both sides by 6. This equals 48/6 = 6x/6. Which simplifies to 8=x.

Answer:

I think C is the correct answer

Answer:

C

Step-by-step explanation:

Answer:

30600

Step-by-step explanation:

product is the answer to a multiplication problem

180 x 170= 30600

Plant height increased after 1 week: 35 cm - 30 cm = 5cm

Percentage increase: (5 : 30) x 100% = 16.66%

Answer:

[tex] - \frac{6437}{1656} [/tex]

Step-by-step explanation:

[tex](5 + \frac{1}{5} - \frac{2}{9} ) - (2 - \frac{1}{23} - 2 \frac{3}{35} + \frac{5}{6} ) - (8 + ( \frac{2}{7} - \frac{1}{8} )[/tex]

[tex] = \frac{224}{45} - (2 - \frac{1}{23} - \frac{73}{35} + \frac{5}{6} ) - \frac{457}{56} [/tex]

[tex] = \frac{224}{45} - \frac{3401}{4830} - \frac{457}{56} [/tex]

[tex] = - \frac{6437}{1656} [/tex]

hi <3

simply multiply the probabilities together:

0.6  x 0.6 = 0.36

multiply by 100 to turn this into a percentage:

0.36 x 100 = 36

thus, your answer is 36%

hope this helps :)

Answer:

D

Step-by-step explanation:

So first, we have to test the pairs. Let start with equation 1.

7=\=3 x

4=\=2 x

0=0 ✓

4=4 ✓

Now we only have to test B and D.

0=\=-1

4=4 ✓

D is the correct answer.

Hey there! I'm happy to help!

The equation y=0.5x simply means that Joseph is hiking 0.5 miles every hour. This is because the x value is the independent variable or the thing you change, which in this case is the time you take hiking. The distance, the y-value, is dependent on that time.

Now, let's look at Kelly's graph. This graph isn't a grid, so we will have to eyeball some of the numbers on the graph. It appears that after 10 hours, Kelly has traveled eight miles. This is because if you go up from the 10 and meet the line and then go to the left. you will be about at the line right below the 10 on the y-axis, and if you count the lines, you will see that we are counting by 2, so it has to be eight.

So, we see that Kelly takes 10 hours to go eight miles. We know that Joseph's distance is half of his time (4 hours would be 2 miles, 6 hours would be 3 hours, etc.)

So, if we say that Joseph hikes for ten hours, he will have hiked five miles as that is half of ten. We see, though, that Kelly made it eight hours in that time, so Kelly is going faster here.

Have a wonderful day and keep on learning! :D

Answer:

duh. 98.33 yeah yeah yeah yeah yeah yeah

Answer:

12

Step-by-step explanation:

you would divide -2 on both sides to isolate the variable a leaving you with 12

Answer:

12

Step-by-step explanation:

-2a= -24

or, a= -24/-2

:. a= 12

Answer:

Sinθ = 24/25

Step-by-step explanation:

Sinθ = Opposite/Hypotenuse

Solve for the opposite side using the Pythagorean Theorem.

[tex]a^2+b^2=c^2\\7^2+b^2=25^2\\49+b^2=625\\b^2=576\\b=24[/tex]

Therefore, Sinθ = 24/25.

Answer:

4

Step-by-step explanation:

m∠AVC+m∠CVB=m∠AVB. Option b is correct.

Given a figure in which point C is inside ∠AVB and ∠AVB=62°.

A geometric figure formed by two lines starting from a common point or two planes starting from a common line is called an angle. The space between these lines or planes is measured in degrees.

Knowing that a point C is between ∠AVB and ∠AVC=39° and ∠CVB=23°, then

From the figure, we can see that C is inside ∠AVB, so ∠AVB is divided into two parts, namely ∠AVC and ∠CVB

m∠AVC+m∠CVB=m∠AVB

Now substitute the values ​​we get

39°+23°=62°

62°=62°

So both sides are equal and it's proven.

Hence, a point C is between ∠AVB and ∠AVB=62° then m∠AVC+m∠CVB=m∠AVB.

Learn more about the angle from here brainly.com/question/11789164

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Answer:

54, 55, 56

Step-by-step explanation:

The first integer is x

so the second is x + 1

and the third is x + 2

Add all these together:

so (x) + (x+1) + (x+2) = 165

Group:

x + x + x + 1 + 2 = 165

Combine like terms:

3x + 3 = 165

3x = 162

x = 54

So the first integer is 54

The second is x + 1 = 54 + 1 = 55

And the third is x + 2 = 54 + 2 = 56

54 + 55 + 56 = 165

Answer:

54,55,56

Step-by-step explanation:

Let the three consecutive integers be x,x+1,x+2

x+x+1+x+2=165

or, 3x+3=165

or, 3x=165-3

or, 3x=162

or, x=162/3

or, x=54

Now,

x+1=54+1=55

x+2=54+2=56

Answer:

Ans. is -10. Explanation is in the attachment.

i can identify that it is a reflection over the y axis, the lower right angle is equivalent (?) to the upper right corner of figure IV

rlly hope this helps, im not the best at explaining

Answer:

Yes, there is a transformation that maps shape I onto shape IV. Reflecting shape I across the x-axis maps it onto shape IV.

Step-by-step explanation:

edmentum

Answer:

32

Step-by-step explanation:

3x+1=8x-24

25=5x

x=5

3 times 5 plus 1 is 16 and so the length is 32

comment section:

XM=MY because MN is segment bisector

XM=3x+1=3*5+1=16=MY and since XM+MY=XY 16+16=32

Answer:

10d = 70  where d is the number of dogs walked

Step-by-step explanation:

10d = 70  where d is the number of dogs walked

Divide each side by 10

10d/10 =70/10

d= 7

Answer: 10x = 70

Step-by-step explanations

Answer:

it is perpendicular bisector of the given line.

Answer:

Terms for 4a^2-5a-3: 4a^2, -5a, -3

Terms for Equation 2 is correct.

Constants for 4a^2-5a-3: -3

Constants for Equation 2 is correct.

Coefficients for 4a^2-5a-3: 4, -5

Coefficients for Equation 2: 7, -3

Step-by-step explanation:

Answer:

No value of x

Step-by-step explanation:

SEE the image for solution.

HOPE it helps

Have a great day

Answer:

Evaluate the expression, given functions f and h:  

f(x) = 3x − 1,

h(x) = −2x2 + 3x − 2.

f  

7

3

− h(−2)

Step-by-step explanation:

Answer:

E) 3/3

Step-by-step explanation:

12/15 ÷ X = 4/5

We need to divide the top and bottom by 3/3

12 ÷3 =4

15÷3 = 5