Solve the system of equations - x - 2y = 3 and 3x + 7y = -14 by combining the equations.​

Answer: 1) 12.7

2) 67

3) 63.2

Step-by-step explanation:

Answer:

Difference = £10

Step-by-step explanation:

Represent adult with A and children with C

[tex]A + C = 28775[/tex]

[tex]C : A = 9 : 16[/tex]

[tex]Sales = 615785[/tex]

Required

Determine the difference in price of both tickets

[tex]A + C = 28775[/tex]

Convert ratio to fraction

[tex]C : A = 9 : 16[/tex]

[tex]\frac{C}{A} = \frac{9}{16}[/tex]

Cross Multiply

[tex]16C = 9A[/tex]

Make C the subject

[tex]C = \frac{9}{16}A[/tex]

Substitute [tex]C = \frac{9}{16}A[/tex] in [tex]A + C = 28775[/tex]

[tex]A + \frac{9}{16}A = 28775[/tex]

Take LCM

[tex]\frac{16A + 9A}{16} = 28775[/tex]

[tex]\frac{25A}{16} = 28775[/tex]

Multiply both sides by 16

[tex]16 * \frac{25A}{16} = 28775*16[/tex]

[tex]25A= 28775*16[/tex]

[tex]25A= 460400[/tex]

Make A the subject

[tex]A = \frac{460400}{25}[/tex]

[tex]A = 18416[/tex]

Substitute 18416 for A in [tex]C = \frac{9}{16}A[/tex]

[tex]C = \frac{9}{16} * 18416[/tex]

[tex]C = \frac{9* 18416}{16}[/tex]

[tex]C = \frac{165744}{16}[/tex]

[tex]C = 10359[/tex]

If a children ticket costs £15, then total children tickets cost:

[tex]Children = 10359 * 15[/tex]

[tex]Children = 155385[/tex]

The total sales is given as:

[tex]Sales = 615785[/tex]

So, the total cost of adult ticket is:

[tex]Adults = 615785 - 155385[/tex]

[tex]Adults = 460400[/tex]

Recall that number of adults is: 18416

So, an adult ticket costs

[tex]An\ adult\ ticket = \frac{460400}{18416 }[/tex]

[tex]An\ adult\ ticket = 25[/tex]

So, we have that:

Children Ticket = £15

Adult Ticket = £25

The difference is:

Difference = £25 - £15

Difference = £10

Answer:

− z −  4.8  

Step-by-step explanation: was this the answer you needed? if not just delete it

Answer: The answer is 0.20

Step-by-step explanation:  To find a scale factor all you need to do is find the ratio of a side on the scaled shape to its corresponding side on the original figure.  We know the bottom of the scaled figure is 0.5 and the same side on the original rectangle was 2.5 so we can just divide like so...

0.5/2.5 = 0.2 which is our correct answer.  I hope this has been of use to you :)  If you have any other questions please do not hesitate to ask!

Answer:

-4, -2, -1, 1, 3

Step-by-step explanation:

Because some of these numbers are negative, they will be getting smaller as they get bigger. Think of it like this:

When you are determining whether the negative number is bigger or smaller, take the negative sign off or pretend its not there. Then, as the numbers get bigger, they become less. For example, you have these numbers:

-1, -5, -8, -3, and -2

To find out what the order is from least to greatest, you do this:

take the negative sign off

1,5,8,3, and 2

then put them in order from least to greatest

so its

1, 2, 3, 5, 8

Then flip it so its from greatest to least

so its

8,5,3,2,1

Now put the negative signs back

making it:

-8, -5, -3, -2, and -1

That is how you find out what the numbers are from least to greatest.

Hope this helps!

PS. You should eat chicken nuggets because they are good

Answer:

iON know

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given line

Perpendicular lines have negative-reciprocal slopes, so the line will be:

Use the point (3, 1) to find b:

The line is:

Answer:

$24

Step-by-step explanation:

Since 32 divided by 4 equals 8, and 8 times 3 equals 24, if Jo makes $32 profit on the first item they sell, Leila will make $24 profit.

I hope this helps you :D

Answer:

there are 11 diffrent sums and the greatest sum is 12

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation: you can look the the line. If the line is vertical, then the equation should be x=(the number). if the line is horizontal, the y=(the number that the line is going through to)

Answer:

Step-by-step explanation:

50% = 1/2, 0.5

0.2 = 2%

Other = 20%, 20/100, 1/5

Answer:

I put this, Its correct.

Step-by-step explanation:

50% : 1/2, 0.5.

0.2 : 20/100, 20%, 1/5.

Other : 2%

Given:

The graph of a piecewise function.

To find:

The value of h(3).

Solution:

We have, the graph of a piecewise function h(x).

The function is divided into two pieces. One is over the interval [tex]-4\leq x<1[/tex] and another one is over the interval [tex]-1\leq x\leq 4[/tex].

From the given graph it is clear that the function passes through the point (3,1). It means the values of the function is 1 at x=3.

[tex]h(x)=1[/tex] at x=3.

[tex]h(3)=1[/tex]

The value of h(3) is 1.

Therefore, the correct option is C.

Answer:

tis c

Step-by-step explanation:

Answer:

approximately 684 employees

Step-by-step explanation:

So this is an exponential equation since there is a dividing decrease, not just subtracting. The standard equation is,

[tex]y = a(b)^{x} [/tex]. [tex]a[/tex] is initial value (860 employees) and [tex]b[/tex] is the change [tex]-8%[/tex] or [tex]0.92[/tex]. The [tex]x[/tex] would be the period of time, [tex]19[/tex]. This equation would be [tex]y = 860(0.92)^{19} [/tex].

After solving, the equation would become the following: [tex]y = 860(0.92)^{19} = 176.387242442≈176[/tex]. After subracting the number of lost employees from orginal employees ([tex]860-176=684[/tex]), we see that the company will have approximately 684 employees left after 19 years.

Answer:

30.4%

Step-by-step explanation:

Given data

originally price $457

new price= $318

Required

The percent mark down

Percent markdown= original- new/original*100

substitute

Percent markdown= 457- 318/457*100

Percent markdown= 139/457*100

Percent markdown=0.304*100

Percent markdown=30.4%

Hence the price was reduced by 30.4%

Answer:

D and B

Step-by-step explanation:

Count each m. There are 4. Therefore it will be m^4.

Now how many n's are there? 2! So it will be n^2. Put them together and you have m^4n^2 which is D

Plug in each value for x and y in the equation. 3^2 is 3 times 3 or 9. (-2)^3 is -2 times -2 times -2 which is -8. Now multiply 9 by -8. You get -72 which is the answer B.

Answer:

well 2 times 15 = 30

30 times 6 = 180. So the boat is 180 feet long

Step-by-step explanation:

Answer:

The real boat is 45ft long

Step-by-step explanation:

15÷2=7.5 7.5×6=45

Answer:

1/3

Step-by-step explanation

Find the ratio of two points, change in y over change in x.

Answer:

imma just assume your asking how many students she has so 20

Step-by-step explanation:

Answer:

(x-4)(x+10)

Step-by-step explanation:

Answer: 0.24

Step-by-step explanation:

Answer:

0.24

Step-by-step explanation:

i took the test i got it right!

Answer: i Think it would be 80

Step-by-step explanation: a right triangle is 90 degrees so how I got 80 is 90-10=80 I might be wrong though

Answer:

(20 / 2) - (10 / 5)

Step-by-step explanation:

subtract (10 divided into fifths) from (20 divided into half)

= (20 divided into half) - (10 divided into fifths)

= (20 / 2) - (10 / 5)

If you need to solve the expression:

= 10 - 2

= 8

Hope this helps! :)

Answer:

1.5

Step-by-step explanation:

Cause the standard of the table and the multiplication of have 3a,0,5 will give you your answer.

Answer:

The correct answer is B

Step-by-step explanation:

zzzz