3 calculators and 4 books cost £23
2 calculators and 3 books cost £16
Work out the price of a single calculator and a single book.
Price of a calculator =
Price of a book =

Answer: heyaa!!

-12x^{3}y^{8}

Step-by-step explanation:

Hopefully this helps you :)

- Matthew

                  - - - -- - - - - - - - - - - -   - - - -- - - - - -- - - - - - - -- - - - - - - -- - - - - --

[tex]\blue{\textsf{\textbf{Question:-}}}[/tex]

What is the equation of the line parallel to y=-5x-9 and contains the point (-3, -3)?

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

First of all, parallel lines have the exact same slope.

So we know the slope of the line:- -5.

(enter -5, It's the number that belongs in the green box)

How about the y-intercept?

Well, since we're given the slope and a point that the line intersects, we can write the line's equation in point-slope form:-

y-y1=m(x-x1)

y-(-3)=-5(x-(-3)

y+3=-5(x+3)

y+3=-5x-15

y=-5x-18

             - - - -- - - - - - - - - - - - - - -- - - - - - - - - - - - -- - - - - - - - - - - - - - -- - - - -

The equation of line which is parallel to y= -5x - 9 is y=-5x-18.

The general equation of a straight line is y = mx + c, where m is the gradient, and y = c is the value where the line cuts the y-axis.

Given:

y= -5x - 9 passes the point (-3, -3)

As, the slope of parallel lines are

m1 = m2 = -5

Now, if the point (-3, -3) intersects the line then equation in point-slope form is

y-y1=m(x-x1)

y-(-3)=-5(x-(-3)

y+3=-5(x+3)

y+3=-5x-15

y=-5x-18

Hence, the equation of line is y=-5x-18

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Answer: 25

Step-by-step explanation:

21 + 18 +16 + X = 20×4

55 + X = 80

X = 80- 55

Answer:

21.75

Step-by-step explanation:

21- 16 = 5

5/2 2.5

16 + 2.5 or 21 - 2.5

18.5 - 18 = .5

1/2 times 1/2 =

1/4

1/4 = .25

18.5 - .25 or 18 + .25

18.25

20 - 18.25 = 1.75

1.75 + 20

21.75

Answer:

7a + 2b

Step-by-step explanation:

Just remove the parentheses:

[tex]5a + 2b + 5a - 3a[/tex]

Combine like terms:

[tex]7a + 2b\\[/tex]

Answer:

Step-by-step explanation:

My approach was to draw out the probabilities, since we have 3 children, and we are looking for 2 boys and 1 girl, the probabilities can be Boy-Boy-Girl, Boy-Girl-Boy, and Girl-Boy-Boy. So a 2/3 chance if you think about it, your answer 2/3 can't be correct. If we assume that boys and girls are born with equal probability, then the probability to have two girls (and one boy) should be the same as the probability to have two boys and one girl. So you would have two cases with probability 2/3, giving an impossible 4/3 probability for both cases. Also, your list "Boy-Boy-Girl, Boy-Girl-Boy, and Girl-Boy-Boy" seems strange. All of those are 2 boys and 1 girl, so based on that list, you should get a 100 percent chance. But what about Boy-Girl-Girl, or Girl-Girl-Girl? You get 2/3 if you assume that adjacencies in the (ordered) list are important, i.e., "2 boys and a girl" means that the girl was not born between the boys.

[tex]v = 905 \: {cm}^{3} [/tex]

the radius of the given ball (sphere).

[tex]r = \sqrt[3]{ \frac{3v}{4\pi} } [/tex]

[tex]r = \sqrt[3]{ \frac{3 \times 905}{4\pi} } [/tex]

[tex]r = 6 \: cm[/tex]

therefore, the radius of the ball is 6 cm.

note: refer to the picture I added on how you can change r as the subject of the formula.

[tex]r = (3 \frac{v}{4\pi} {)}^{ \frac{1}{3} } [/tex]

[tex]r = (3 \times \frac{905}{4 \times \pi} {)}^{ ^{ \frac{1}{3} } } [/tex]

[tex]r = 6.00049 \: cm[/tex]

[tex]r = 6 \: cm[/tex]

Hence, the radius of the beach ball is 6 centimeters.

Note: please refer to the attachment.

Answer

The students participating in other than music or dance = 22

Step by step explanation

Total number of students = 72

No. of students participating in dance = 26 (let them be 'a')

No. of students participating in music = 24 (let them be 'b')

No. of students participating in othe na than dance or music = 'c'

72 = a+b+c

= 26+24+c

= 50 + c

c (no. of students participating in other activities)

= 72 - 50 = 22

These are sequence that increases in an exponential manner. The value of the log function is 55

These are sequence that increases in an exponential manner. The nth term of the sequence is expressed as:

Tn = ar^n-1

Given the following

Substitute

Tn = x = 8(2)^52
x = 8(2)^52

Take the log of the result to have:

[tex]log_28(2)^{52} = log_22^{55}\\ log_22^{55} = 55log_22=55[/tex]

Hence the value of the log function is 55

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Answer:

8y+5x

If in the case you need any other help , let me know. [ You need to pay me] :) Thanks!

Answer:

The first step that we need to do is to combine like terms which means to add up all of the terms that have similar variables assigned to them.

[tex]4y + 6y + 5x - 2y[/tex]

[tex](4y + 6y - 2y) + 5x[/tex]

[tex]8y + 5x[/tex]

Therefore, our final answer is [tex]8y + 5x[/tex]

Hope this helps!  Let me know if you have any questions

Answer:

Answer Choice A (8, eight)

Step-by-step explanation:

To begin, add all of the marbles together. When finished, the answer should be 20. Because the variable 20 equals 100, you divide 4 by 100. You will get 0.04 as a result. This multiplied by 20 equals 8. Finally, the answer is A.

Answer:

see the attachment!

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Answer:

Atleast 5 months, can you give me a photo so i can make sure my answer is correct?

Step-by-step explanation:

Answer:

Answer Choice A aka 1/5 (0.2)

Step-by-step explanation:

B = 6/7+8+6+9

= 1/5

Answer:

15 scores are less than 90

Step-by-step explanation:

Total 11 scores are less than 90 not 15

Answer:

the answer is 3/4

the answer is 3/4

Answer:

A= 99

Step-by-step explanation:

Answer:

1. [tex]\frac{1}{9}[/tex]

4. [tex]\frac{3^{-4} }{3^{-2} }[/tex]

Step-by-step explanation:

Answer:

The function role is +2 for x, and -1 for y.

Step-by-step explanation:

The reason for my answer is because as you can see on the table;

For X, it starts at 0 and counts up by 2. For Y, it starts at 2 and counts back by 1.

If the polar coordinate of a point is (9, π/5). Then the cartesian coordiante will be (7.28, 5.29).

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

The polar coordimnate is given below.

P(9, π/5)

Then the cartesian coordinate will be

We know that the conversion of the polar coordinate to the cartesian coordinate.

(x, y) = (r cos θ, r sin θ)

Then we have

r = 9

θ = π/5

Then we have

x = 9 cos π/5

x = 7.28

y = 9 sin π/5

y = 5.29

Then the coordinate will be (7.28, 5.29).

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Check the picture below, so that happens when h = 0.

[tex]\stackrel{h}{0}~~ = ~~-5t^2+15t\implies 0=-5t(t-3)\implies 0=t(t-3)\implies t= \begin{cases} 0\\ 3~\checkmark \end{cases}[/tex]

now, notice, 0 is also a solution, which means at 0 seconds the ball was touching the ground, well, it was kicked "from" the ground, so at 0 seconds it was initially on the ground anyway.

Answer:

See below

Step-by-step explanation:

Use pythagorean theorem to find the side of the triangle which is the side of the square

side = sqrt ( 8^2 + 4^2) = sqrt 80  units  = 4 sqrt 5 units

area = sqrt 80  *  sqrt 80    = 80   units ^2

The linear equation is y = (2/3)*x - 5, and the 4 points in the graph are:

{ (-1, -17/3),  (0, -5), (1, -13/3),  (2, -11/3)}

A linear equation written in the slope-intercept form is:

y = a*x + b

Where a is the slope and b is the y-intercept.

In this case, we have:

a = 2/3

b = -5

So our line is:

y = (2/3)*x - 5

To find the points, we need to evaluate the line in 4 different values of x.

We will use: x = -1, 0, 1, 2.

for x = -1 we have:

y = (2/3)*-1 - 5 = -2/3 - 5 = -17/3

So this gives the point (-1, -17/3).

for x = 0 we have:

y = (2/3)*0 - 5 = -5

So this gives the point (0, -5).

for x = 1 we have:

y = (2/3)*1 - 5  = -13/3

So this gives the point (1, -13/3).

for x = 2 we have:

y = (2/3)*2 - 5 = 4/3 - 15/3 = -11/3

So this gives the point (2, -11/3).

Then the 4 points are:

{ (-1, -17/3),  (0, -5), (1, -13/3),  (2, -11/3)}

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Step-by-step explanation:

I assume that one a student is picked for an oral exam, the same student will not be picked again.

the total number of possibilities to pick 14 students out of 18 is C(18, 14) = 18!/(14! × (18-14)!) = 18!/(14! × 4!) =

= 18×17×16×15/(4×3×2) = 18×17×2×5 =

= 3,060

how many of these possibilities contain exactly 8 girls and 6 boys ?

so, we choose 8 out of the 10 girls, and 6 out of the 8 boys.

that means

C(10, 8) × C(8, 6) = 10!/(8! × 2) × 8!/(6! × 2) =

= 10×9/2 × 8×7/2 = 5×9 × 4×7 =

= 45 × 28 = 1,260

so, the probability to have 8 girls and 6 boys in a random selection of 14 students out of 18 is

1260/3060 = 21/51 = 7/17 = 0.411764706... ≈ 0.412

Step-by-step explanation:

a.b=0.6×0.75

=0.45

a/b= 0.6/0.75

=0.8

Based on the simple interest amount he could be making, and the rate of investment, Tyrell's additional interest per month is $1,000.

Assuming the additional interest that Tyrell is paying is x, the following formula can be used:

300 = (x × 2.5%) x 12 months

Solving gives:

300 = 0.025x × 12

0.025x = 300/12

x = 25 / 0.025

x = $1,000

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Answer:

1,000

Step-by-step explanation; trust me

The computation of 2234993.75% out of 100% will bring about value of - 22348.9375

From the information given, we are told to simplify 2234993.75% out of 100%. It should be noted that to simplify 2234993.75% will be:

= 2234993.75% / 100

= 22349.9375

On the other hand, 100% simply means 1. Therefore, 2234993.75% out of 100% will be:

= 1 - 22349.9375

= - 22348.9375

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Answer:

She has 480 red roses in total

Step-by-step explanation:

Answer:

12ft

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

Given equation:

3(2x + 4) - 8x = -2(x + 1) + 3

Expand the brackets:

⇒ 3(2x) + 3(4) - 8x = -2(x) - 2(1) + 3

⇒ 6x + 12 - 8x = -2x - 2 + 3

Collect like terms:

⇒ 6x - 8x + 12 = -2x - 2 + 3

Combine like terms:

⇒ -2x + 12 = -2x + 1

Subtract 12 from both sides:

⇒ -2x + 12 - 12 = -2x + 1 - 12

⇒ -2x  = -2x - 11

Add 2x to both sides:

⇒ -2x + 2x  = -2x +2x - 11

⇒ 0 = -11

The sides are not equal, therefore there is no solution

Answer:

There are no values of x that make the equation true.

Answer:

The y-intercept is 6

Step-by-step explanation:

The y-intercept of a function is where the graph of an equation touches or crosses the vertical axis. This is usually the value of y when x = 0.

For this particular function, when x = 0 ⇒

f(0) = 0^2 + 4(0) + 6

= 0 + 0 + 6

= 6

Therefore, the y-intercept of this function is 6

Answer:

6

Step-by-step explanation:

the y-intercept is the last number of the equation

so because 6 is the last number, the y-intercept is 6