Last year the cost of a season ticket for a football club was £560.
This year the cost of a season ticket for the club has been increased to £600.
Write down the increase in the cost of a season ticket as a fraction of last year's cost.

Darrel has 50 grapes in all.

Lia has 72 green grapes, and she shares them equally between 8 friends. To find out how many grapes each friend receives, divide the total number of grapes by the number of friends:

Number of grapes each friend receives = 72 / 8 = 9

Now, Darrel adds 41 green grapes to his share, so the total number of grapes he has is:

Total grapes for Darrel = Number of grapes Darrel received initially + Additional grapes added by Darrel

Total grapes for Darrel = 9 + 41 = 50

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ANSWER :

y - 25 = 11

y = 25 + 11

y = 36

Answer:

y = 36

Step-by-step explanation:

Answer:

13 ≈ 10 miles

Step-by-step explanation:

Have a nice day

You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving So, the straight-line distance from your starting point is 13 miles.

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving,

[tex]|AC|^2 = |AB|^2 + |BC|^2 \\\\|AC|^2 = |5|^2 + |12|^2 \\ \\|AC|^2 = 25 + 144 \\\\AC = \sqrt{169} \\\\AC = 13[/tex]

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Answer:

Step-by-step explanation:

y - 10 = -2(x - 10)

y - 10 = -2x + 20

y = -2x + 20 + 10

y = -2x + 30

When x = 0  ;   y = 0 + 30 = 30         ;  (0,30)

When x = 10 ;   y = -2*10 + 30 = -20 +30 = 10   ; (10 , 10)

When x = 5  ;  y = -2*5 + 30 = -10 + 30 = 20    ; (5 , 20)

Plot ( 0 ,30) ; (10,10)  & (5,20)

Answer:

Step-by-step explanation:

3

Answer:

1/6 because wanting to roll a four every time you roll a dice is going to be a 1.6 chance since there is only one 4

Step-by-step explanation:

Step-by-step explanation:

[tex]by \: pythogorus \: law \\ {x}^{2} = ( { {29}^{2} - {21}^{2} })^{ \frac{1}{2} } \\ = \sqrt{20} \\ = \sqrt{4 \times 5 } \\ = 2 \sqrt{5} [/tex]

The triangle does not represent aright-angled triangle

The coordinates of the triangle are given as:

[tex]\mathbf{A = (4,4)}[/tex]

[tex]\mathbf{B = (5,6)}[/tex]

[tex]\mathbf{C = (8,2)}[/tex]

Start by calculating the slopes of the lines that pass through the vertices of the triangles using:

[tex]\mathbf{m = \frac{y_2 - y_1}{x_ 2 -x_1}}[/tex]

So, we have:

[tex]\mathbf{m_{AB} = \frac{6- 4}{5 -4}}[/tex]

[tex]\mathbf{m_{AB} = \frac{2}{1}}[/tex]

[tex]\mathbf{m_{AB} = 2}[/tex] --- the slope of line AB

[tex]\mathbf{m_{CB} = \frac{6- 2}{5 -8}}[/tex]

[tex]\mathbf{m_{CB} = \frac{4}{-3}}[/tex]

[tex]\mathbf{m_{CB} = -\frac{4}{3}}[/tex] --- the slope of line CB

[tex]\mathbf{m_{AC} = \frac{4- 2}{4 -8}}[/tex]

[tex]\mathbf{m_{AC} = \frac{- 2}{-4}}[/tex]

[tex]\mathbf{m_{AC} = \frac{1}{2}}[/tex] --- the slope of line AC

None of the slopes have the following relationship with another slope

[tex]\mathbf{m_1 = -\frac{1}{m_2}}[/tex] --- condition for perpendicular line

Hence, the triangle is not a right-angled triangle

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Answer:

81/256

Step-by-step explanation:

The exponent 4 is meaning how many times you have to multiply a number it is on top of.

So you need to multiply 3/4, 4 times by itself

So

3/4* 3/4* 3/4* 3/4

3 times 3 times 3 times 3 is 81

4 times 4 times 4 times 4 is 256

So the answer is 81/256

Hope this helps!

Answer:

Step-by-step explanation:

If u got two negative number such as (-6)+(-7) your answer will be positive 13.

If u got one negative number and one positive number like (-10)-(5) the answer will be negative like -5

Answer: it would be A

Step-by-step explanation:

x the cost in dollars of a hamburger and y the cost in dollars of a soft drink.

The cost of 4 hamburguers can be represented with this expression:

4x

And the cost of 6 soft drinks  can be represented with this expression:

6y

The total cost for 4 hamburgers and 6 soft drinks is $34, you can write the following equation

3x+6y=24

The following expression represents the the cost of 3 soft drinks:

3y

According to the information given in the exercise, the total cost for 4 hamburgers and 3 soft drinks is $25. Then, the equation that represents this is:

4x+3y=22

Answer:

  10%

Step-by-step explanation:

The change is 90-100 = -10. As a percentage of the original amount, that is ...

  -10/100 × 100% = -10%

The change from 100 to 90 is a reduction of 10%.

Answer:

127

Step-by-step explanation:

#2

#3

#4

#5

#6

#7

Step-by-step explanation:

Missing reasons:

<ABC = [ 52° ]

not sure but

hope it helps!

Answer:

[tex] \: [/tex]

∆ ABC → 132 °

Step-by-step explanation:

Given : ∠DBC = 48°

Now we are going to use the property that the sum of angles of a linear pair always equal to 180∘

Therefore,

∠ABC + ∠DBC = 180°

∠ABC + 48 ° = 180° [ ∠DBC = 48° ]

∠ABC = 180° - 48°

∠ABC = 132°

Answer:

The answer is 11, I think, hope this helps!

Step-by-step explanation:

=================================================

Solve.

[tex] \tt4 + 2(5) + ( - 3) \\ = \tt4 + 10 + ( - 3) \\ = \tt14 + ( - 3) \\ = \underline{ \boxed{\tt 11}}[/tex]

Therefore, the answer is 11.

=================================================

[tex] \underline{{\sf \: \: \#CarryOnLearning! \: \:}} [/tex]

Answer:

22-5n

Step-by-step explanation:

The number of box is an illustration of proportions

8 boxes must be shown on the grid

The proportion is given as:

[tex]\mathbf{\frac{3}{8} = 18\ eggs}[/tex]

The above proportion means that:

3/8 of the total number of eggs is 18

Let the total number of eggs, be x

So, we have:

[tex]\mathbf{\frac{3}{8} \times x= 18\ eggs}[/tex]

Express 3/8 as a decimal

[tex]\mathbf{0.375 \times x= 18\ eggs}[/tex]

Divide both sides by 0.375

[tex]\mathbf{x= \frac{18}{0.375 }\ eggs}[/tex]

[tex]\mathbf{x= 48\ eggs}[/tex]

This means that, the total number of eggs is 48, and 8 boxes must be shown on the grid

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Answer:

x-2y=12

Solve for y

x-2y=12

Subtract x on both sides

-2y=-x + 12

Divide both sides by -2

y=\frac{1}{2}x - 6y=21x−6

the domain is {-3,-1,0,2,5}

Domain are the set of x values

Range are the set of y values

We are given with domain x, we need to find out y values using the equation y=\frac{1}{2}x - 6y=21x−6

when x=-3 , y=\frac{1}{2}(-3)-6=\frac{-15}{2}=-7.5y=21(−3)−6=2−15=−7.5

when x=-1 , y=\frac{1}{2}(-1)-6=\frac{-13}{2}=-6.5y=21(−1)−6=2−13=−6.5

when x=0 , y=\frac{1}{2}(0)-6=-6y=21(0)−6=−6

when x=2 , y=\frac{1}{2}(2)-6=-5y=21(2)−6=−5

when x=5 , y=\frac{1}{2}(5)-6=\frac{-7}{2}=-3.5y=21(5)−6=2−7=−3.5

Range is {-7.5, -6.5, -6 , -5, -3.5}

Step-by-step explanation:

solve the equation ? 1 equation with 2 variables ? that is not possible.

what you mean is probably find the range.

x - 2y = 12

-2y = -x + 12

2y = x - 12

y = (x - 12)/2 = (1/2)x - 6

x = -3

y = 1/2 × -3 - 6 = -1.5 - 6 = -7.5

x = -1

y = 1/2 × -1 - 6 = -0.5 - 6 = -6.5

x = 0

y = 1/2 × 0 - 6 = -6

x = 2

y = 1/2 × 2 - 6 = 1 - 6 = -5

x = 5

y = 1/2 × 5 - 6 = 2.5 - 6 = -3.5

so, the corresponding range of the function is

{-7.5, -6.5, -6, -5, -3.5}

Answer:

Step-by-step explanation:

5x:8=7:2

5x/8=7/2

By Cross Multiplication:

10x=56

x=56/10

x=28/5

If you need to ask any question,please let me know.

Answer:

if 2 length + 2 width is the perimeter, then 2(L+W)=P. if w is 1/3 of L, then W=1/3L, and from there we work back. half of 48 for just one length and one width, we have 24. we want one-third of length+length, so 4 parts. we are left with L=18 and W=6. 18+6=24, x 2= 48. I'm sorry if this was confusing, but I hope this helps!

a) 2

b) 93

that's the answer

Answer:

Because when 4:6 is simplified, you get 2:3, but when 8:10 is simplified, you get 4:5

So, they are not equivalent ratios because their simplified ratios are not the same.

Step-by-step explanation:

Hope this is helpful.

Since the value of the given ratios are different they can not be said to be the equivalent ratio.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

It is given that the two ratios are 4:6 and 8: 10.

Ratios with the same value are said to be equivalent. If we multiply both portions of a ratio by the same number, we can create comparable ratios.

The ratio 4/6 is in the lowest term is 2/3 equal to 0.66

The ratio 8/10 is in the lowest term is 4/5 equal to 0.8

The values of both ratios are different.

Thus, the values of the given ratios are different they can not be said to be the equivalent ratio.

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The answer will be:-

0.75

0.80

Hello there, hope you are having a nice day.

This is the rule for rounding:

    - Example: 3.4 =>3

     - Example: 6.7 =>7

Using this rule, we can round 3.5:

3.5 =>4

Hope it helps. Ask me if you have any queries.

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~An emotional teen who helps others with joy

Good luck.

Answer:

an exponent is the small number written above and to the right of a number

on a keyboard it is written like (^) that

ex. If you were saying 2 to the power of 2, you would write it as 2^2

when you see that number, that number is telling you how many times you multiply that number by itself, ex. 2^2 is telling you to multiply 2 by itself

Step-by-step explanation:

[tex]x=0=>0^{5} +32 = ( 0 +2 ) ^ 5[/tex]

P/s:    [tex]0^5+32=32 , (0+2)^5=2^5 =32[/tex]

[tex]x=-2=> (-2)^5 + 32 = ( -2 +2 )^5[/tex]

P/s:    [tex](-2)^5 +32 = -32+32=0, (-2+2)^5=0^5=0[/tex]

ok done. Thank to me :>

Answer:

-4 is where the line crosses the y-axis

Answer:The first option is correct

Step-by-step explanation:

Answer:

3rd option

Step-by-step explanation:

3rd option because m is bigger than or equal -2 which means that it is going to be from [-2,infinity[