Sam, Luke and Laura are shopping for sporting equipment

Sam buys 4 tennis balls and 12 golf balls for a total of £19
Luke buys 6 tennis ball and 10 golf balls for a total of £22.50
Laura buys 2 tennis balls and 4 gold balls

By forming two equations and solving them, find how much Laura pays for the 2 tennis balls and 4 golf balls.

Answer:

The definition of alternate interior angles is that those two angles are the same.

Therefore because they are the same you can set them equal to eachother

3x + 24 = 78 is true

3x = 54

x = 18

Just know the definitions, for instance 3 and 4 are the same, 2 and 5 are the same, 1 and 6 are the same

Step-by-step explanation:

[tex]x \: component = \frac{17 + 22}{2} \\ = 19.5 \\ y \: component = \frac{22 + 27}{2} \\ = 24.5 \\ (19.5...24.5)[/tex]

Answer:

x=5.09 seconds (times at max)

Step-by-step explanation:

Answer:

£ 392

Explanation

Answer: The awnser is 48

Step-by-step explanation: I took the quiz

6.03 Quiz: Use Theoretical Probability to Predict

It is expected to take 48 spins for a multiple of 5 to be spun 8 times.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Since there are 12 sectors, the probability of landing on a multiple of 5 is 2/12 or 1/6.

The probability of not landing on a multiple of 5 is 5/6.

We can use the geometric distribution formula to find the expected number of spins:

E(X) = 1/p, where p is the probability of success.

As per the question, the probability of success is 1/6.

Therefore, E(X) = 1/(1/6) = 6.

We need to spin a multiple of 5 8 times, so we multiply the expected number of spins by 8:

6 x 8 = 48.

Therefore, we can expect to spin a multiple of 5-8 times after 48 spins.

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Step-by-step explanation:

28.4 g there are 110 calories

1 g there are 110/28.4 = 3.87 calories

39.76 g there are 3.87 × 39.76 = 153.87

Answer:

y = -2x + 16

Step-by-step explanation:

Slope-intercept form is:

Where m = slope

b = y-intercept

To find the slope of the line containing (7,2) and (2,12), we have to find the slope, m.

Now, to find the y-intercept (b), insert m = -2 into the equation and one of the given points:

let's use point (7,2) to find b:

Now, we can find the equation of this line:

Answer:

y=-2x+16

Step-by-step explanation:

First we should find the slope.

We can use the formula (y2-y1)/(x2-x1)

(12-2)/(2-7)=10/-5=-2

So, the slope is -2.

From there, we can plug in one of the points into the standard slope-intercept equation, y=mx+b, along with the slope we already found

y=-2x+b

12=-2(2)+b

12=-4+b

b=16

So, the slope-intercept equation is y=-2x+16

Answer:

E. SSS

Step-by-step explanation:

AB=BC (Given)

AD=CD (Midpoint)

BD=BD (common)

Therefore answer is : SSS

Answer:

If the operating expenses are 36% of the cost, find the operating loss and the absolute loss.

1. An operating loss occurs when a company's operating expenses exceed gross profits (or revenues in the case of a service-oriented company.

2. Mean absolute error (MAE) is a loss function used for regression. The loss is the mean overseen data of the absolute differences between true and predicted values, or writing it a formula.

Step-by-step explanation:

The probability that neither of the two people selected have traditional insurance is 0.33.

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that neither of the two people selected have traditional insurance = (number of people that chose manage care plan + number of people who dont have any insurance) / total number of people surveryed x [(number of people that chose manage care plan + number of people who dont have any insurance) / total number of people surveryed - 1]

21/36 x 20/35 = 0.33

Please find attached the table. To learn more about probability, please check: https://brainly.com/question/13234031

Answer: the answer is 45

Step-by-step Step-by-step explanation:

so it says a pilot goes from 0 to 8 and then two images above so you add to to eat and then you add 5 to 2:30 for me to 522 the artistic 24 + 27 + 5 then you answer 8 + 2028 and then you add 5 + 1 + 2 + 2 + 4 + 3 + 3 + 4 + 1 + 5 + 16 + 18 and you get 45

Answer:

A, A, B, B

Step-by-step explanation:

For the relation to not to be a function we need the same value of x in (x,y) that gives off different values (y).

Now plugging in the value of k,

hence , the relation won't be function if k would be equal to 3

The value of k for which the relation R = {(2k+1, 3), (3k−2, −6)} is not a function is k = 3.

In general terms, a function is a mathematical rule or relationship that maps one set of values (the input or domain) to another set of values (the output or range). In other words, it's a specific process that takes some input and produces a corresponding output.

For the given relation R to be a function, each input in the domain should have exactly one corresponding output in the range.

We can determine whether the relation R is a function by checking if both ordered pairs have the same first coordinate. If they do, then the relation is not a function.

Let's equate the first coordinate of the ordered pairs:

2k+1 = 3k-2

Solving for k, we get:

k = 3

If we substitute k = 3 into the relation, we get:

R = {(2(3)+1, 3), (3(3)−2, −6)}

R = {(7, 3), (7, -6)}

Since both ordered pairs have the same first coordinate of 7, the relation R is not a function.

Therefore, the value of k for which the relation R = {(2k+1, 3), (3k−2, −6)} is not a function is k = 3.

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Answer:

the answer ia true

Step-by-step explanation:

hope this helps

Just put the options in the inequalities and check if they are true or not :

A ) ( - 1 , 0 )

[tex]2x + y \leqslant 3[/tex]

[tex]2( - 1) + 0 \leqslant 3[/tex]

[tex] - 2 \leqslant 3 \: \: \: kinda \: true[/tex]

And

[tex]x - y < - 3[/tex]

[tex] - 1 - 0 < - 3[/tex]

[tex] - 1 < - 3 \: \: \: false[/tex]

Thus A is wrong

_____________________________________________

B ) ( - 1 , - 1 )

[tex]2( - 1) + ( - 1) \leqslant 3[/tex]

[tex] - 2 - 1 \leqslant 3[/tex]

[tex] - 3 \leqslant 3 \: \: kinda \: true[/tex]

And

[tex] - 1 - ( - 1) < - 3[/tex]

[tex] - 1 + 1< - 3[/tex]

[tex]0 < - 3 \: \: \: false[/tex]

Thus B is wrong

_____________________________________________

C ) ( - 2 , 4 )

[tex]2( - 2) + 4 \leqslant 3[/tex]

[tex] - 4 + 4 \leqslant 3[/tex]

[tex]0 \leqslant 3 \: \: kinda \: true[/tex]

And

[tex] - 2 - 4 < - 3[/tex]

[tex] - 6 < - 3 \: \: \: true[/tex]

Thus C is the correct option

_____________________________________________

U can do D urself ...

Have a great day ♡

Answer:

I'm suggesting that you should read your books!!!

You should be more thoughtful...

Answer:

Part A) x = 6, 13, 22, 33

Part B)

Some examples of perfect squares are 9, 16, 25, and 36. They are the squares of 3, 4, 5, and 6. To generate these values, add x to 3 and plug these numbers into an equation:

√(x + 3) = 3

√(6 + 3) = √9

x = 6

√(x + 3) = 4

√(13 + 3) = √16

x = 13

√(x + 3) = 5

√(22 + 3) = √25

x = 22

√(x + 3) = 6

√(33 + 3) = √36

x = 33

1. (6, 3)

2. (13, 4)

3. (22, 5)

4. (33, 6)

I hope this helps!

Answer:

I believe it would be 9.

Step-by-step explanation:

Finding Dialation: 16/12 = 1.3
Height: 16/1.3 = 12
Width: 12/1.3 = 9

Answer:

14

Step-by-step explanation:

you can do 9 x 14 and get 126

Answer:

6 days

Step-by-step explanation:

In one day, one demolition crew:

One day = [tex]\frac{1}{10} x[/tex]  with x = the entire job

Other demolition crew:

One day = [tex]\frac{1}{15} x[/tex]

Together, they do it in [tex]\frac{1}{10}x\\[/tex] + [tex]\frac{1}{15}x[/tex] = [tex]\frac{3}{30}x + \frac{2}{30}x = \frac{5}{30}x[/tex] [tex]= \frac{1}{6}x[/tex] in one day

So [tex]\frac{1}{6}x[/tex] x 6 = x

so it takes 6 days to complete the work together.

Answer:

I hope it helped you

Step-by-step explanation:

Pls check the given attachment

I hope it helped you

Answer:

54 + 42 = 6 (9 + 7)

Sorry if this answer is not correct, if it is or is not, please tell me in the comments!

Step-by-step explanation:

The equation already gives the 7 in the parenthesis, so we know that 7 x 6 = 42.

The 6 will be on the outside of the equation since we will be using Distributive Property to multiply the 6 and 7.

Since we already know the 6 is on the outside, your new equation is:

6 x (what number) = 54

54 divided by 6 = 9

Answer:

the three angles inside a triangle need to add up to 180 degrees

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

Using Algebra, this is a proportion question. A proportion is 2 equal ratios

If the of the 2 ratio parts are known, it is possible to solve for the 4th one.

Formula

9_bats/50_grams::81_bats/x grams insects

Solution

Put the three knowns in and solve for the 4th which is not known

9 bats/ 50 insects = 81 bats /x insects.         Cross multiply

9 * x = 50 * 81                                                  Combine

9x = 4050                                                       Divide by 9

9x/9 = 4050/9

Answer: x = 450 grams

Answer:

Applying Pythagoras we get x= 9

Answer:

using the relation,

h²=p²+b²:

15²=x²+12²

x=(225-144)^0.5

x=9

therefore x equal 9 meter.

Answer: 7lb

Step-by-step explanation:

The amount of gravel required cover each square feet of the garden obtained by dividing the total amount of gravel used and the total area of the garden is 7 lb

Total area of garden = 36 ft²

Total amount of gravel used = 252 lb

The amount of gravel used to cover each ft² of the garden can be calculated thus :

(Total amount of gravel used) ÷ (Total area of garden)

252 ÷ 36 = 7 lb

Therefore, the amount of gravel required to cover each square feet of the garden is 7 lb

Answer:

See below

Step-by-step explanation:

D o you want pounds / sq foot ?

252 lbs / 36 ft^2 =   7 pounds per square foot

Answer:

I would use elimination in this scenario. Because in both equations there is a coefficient on both variables, it would be difficult to isolate one variable and would leave the equation as a fraction. Instead, use elimination. Multiply the first equation by -15, which changes it to 10x + 225y = -90, and then subtract the second equation, thus cancelling out the 10x's and letting you solve for Y. Hope this helps!

Answer:

6 - 6r

Step-by-step explanation:

we just plug in 3r - 1 instead of x

f(3r - 1) = 4 - 2(3r - 1)

= 4 - 6r + 2

= 6 - 6r