for each 24mm of coloured fabric Gordan uses 1.2cm of white fabric. Express the amount of white fabric to coloured fabricas a ratio in its simplest form.​

Answer:

[tex]y = 50x[/tex]

Step-by-step explanation:

Let's start off by trying to find the slope/gradient (commonly denoted as [tex]m[/tex]) of this function

[tex]m = \frac{\Delta y}{\Delta x}[/tex]

This means we divide the change in y over the change in x

Let's pick, for example, x = 3 (who's corresponding y is 150) and x = 4 (who's corresponding y is 200)

[tex]m = \frac{200 - 150}{4 - 3}\\\\m = 50[/tex]

Now we have this:

[tex]y = 50x+b[/tex]

Let's plug in a random value of x and y from this function in order to find b. I'll pick x = 2:

[tex]100 = 50\cdot 2 + b\\100 = 100 + b\\b = 0[/tex]

Since b is 0, we don't have to write it on our equation, meaning that our final equation is just

[tex]y = 50x[/tex]

To verify this, let's say we didn't know the value of y when x is equal to 4 and all we had was that equation:

[tex]y = 50\cdot 4\\y = 200[/tex]

Just like it is on the graph :)

Good luck!

Answer:

23 is the answer

Step-by-step explanation:

i holed this helped

Answer : -12

a = 4x

plug in the numbers for a and x

3 - 4(-5)

3-15

-12

Hope this helps!!!

The two variables in this problem are dollars and hours

Melissa charges $1.25 per hour to pet-sit.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The table and the given points on the coordinate plane provide information about the relationship between the number of hours of

pet-sitting (x) and the amount of money earned (y) by Melissa, who charges a fixed rate of $1.25 per hour for pet-sitting.

The equation of the line passing through the points (1, 1.25) and (4, 5) can be found by using the slope-intercept form:

y - y_1 = m (x - x_1),

where m is the slope and (x_1, y_1) is a point on the line.

Using the two given points, we have:

m = (y_2 - y_1)/(x_2 - x_1)

= (5 - 1.25)/(4 - 1)

= 1.25

y - 1.25 = 1.25 (x - 1)

y = 1.25x - 0.75

This means that for each additional hour of pet-sitting, Melissa earns an additional $1.25.

Therefore,

The two variables in this problem are dollars and hours

Melissa charges $1.25 per hour to pet-sit.

Learn more about coordinates here:

https://brainly.com/question/13118993

#SPJ3

Answer:

The two variables are dollars and hours. The correct equation is y = 1.25x. Melissa charges $1.25 an hour to pet-sit.    or 1,3,5

Answer:

15 meters

Step-by-step explanation:

Because angle BFD and angle DFC are supplementary (they form a 180 degree angle, as you can see from the fact that they both form a straight line) and angle BFD is 90 degrees, angle DFC must also be 90 degrees. Since it is 90 degrees, you can use the Pythagorean theorem to solve for DF as a part of triangle DFC=> 8^2(x^2)=17^2.

=>64(x^2)=289

subtract 64 from both sides=> x^2=225

take the square root of both sides=> x=15

Since triangles BED and BFD are equal by way of angle-side-angle, we know that all of their corresponding sides and angles are equal, and therefore, DF=DE, so DE=15 meters

Step-by-step explanation:

Triangles ABX and DCX are similar.

Since they are similar, AX/DX = AB/DC.

Hence AX/2.8 = 8/4 and AX = 5.6.

Answer:

Here!!

Step-by-step explanation:

Hope this helped!!! have a good day :D

Answer:

I actually can't measure it, but if you will and cmt the measures, I can help you round them!!!

Step-by-step explanation:

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

Putting all the values of y=9, 6, 0, and -3 to complete the table

FOR y=9

putting y=9

switch sides

subtract 3 from both sides

Hence,

when y=9, x=4

FOR y=6

putting y=6

switch sides

subtract 3 from both sides

Hence,

when y=6, x=2

FOR y=0

putting y=0

switch sides

subtract 3 from both sides

Hence,

when y=0, x=-2

FOR y=-3

putting y=-3

switch sides

subtract 3 from both sides

Hence,

when y=-3, x=-4

Hence, the table becomes:

x                     y

9                    4

6                    2

0                    -2

-3                   -4

Answer:

Mindy bought 7 pounds of candy.

Step-by-step explanation:

In order to solve this question we need to understand that based on the question itself there is 4 people (Mindy and the three friends) that each have [tex]1\frac{3}{4}[/tex] pound of candy. Now if you image in that way you see that in order to understand how much pounds of candy Mindy bought you will have to multiply [tex]1\frac{3}{4}[/tex] by 4 (because there is 4 people who got [tex]1\frac{3}{4}[/tex]  pounds of candy each).

So now we can find the answer by doing the following.....

[tex](1\frac{3}{4} )(4) = ( \frac{7}{4})(\frac{4}{1}) = \frac{(7)(4)}{(4)(1)} = \frac{28}{4} = 7[/tex]

Answer:

The given equation will have two roots as +5i and -5i

Step-by-step explanation:

Shasta claimed that the equation x^2+25=0 can be solved by using its factored form of (x+5i)^2=0, and that -5i is the only zero for this function

The given equation is [tex]x^2+25 =0[/tex]

This clearly shows it will have complex roots, and since it is a quadratic equation it will have 2 complex roots

[tex]x^2 = -25 \\x = \sqrt{-25} \\x= \sqrt{-1}* \sqrt{25}\\[/tex]

[tex]x = i\sqrt{25}[/tex]

x = ± 5i

It will be false to say that -5i will be the only complex root to this equation.

The given equation will have +5i and -5i as its roots.

Lets verify

x = +5i

[tex](5i)^2 + 25 \\25i^2 + 25 \\25(-1) + 25\\-25 + 25 = 0[/tex]

x = -5i

[tex](-5i)^2 + 25 \\25i^2 + 25 \\25(-1) + 25 \\-25 + 25 \\ = 0[/tex]

Answer:

let the larger and  smaller number be x and y respectively

first condition

x + y = 49

second condition

3x = 2y+97

3x-2y =97

Multiplying first condition by two and adding both equations

2x + 2y = 98

3x -2y = 97

5x =  195

x = 195/5 = 39

putting the value of x in

x + y = 49

y = 49 -39 = 10

again

Step-by-step explanation:

Answer:

BC= 3

Step-by-step explanation:

Suppose a line BD is 10 and it has a point C somewhere on the  line. It is given that BC is  3times and CD is 7 times  or algebraically  if we take x as a variable then according to the given information

BC+ CD= BD

3x+ 7x= 10

10x= 10

x= 10/10

x= 1

3x would give 3 (1)= 3

Hence the Line BC = 3

and the line CD= 7

Answer:

1. 27.0 m

2. 28.0 degrees

Step-by-step explanation:

1. AB

To find AB, we start by getting the measure of the third angle A

Mathematically;

A + 90 + 51 = 180

The sum of angles in a triangle is 180

A = 180-90-51

A = 39

We then proceed to use the sine rule

Mathematically, the sine rule states that the ratio of the measure of a side and the sine of the angle facing the side is same for each side of the triangle

Thus, with respect to the given triangle;

17/sin 39 = x/sin 90

x = 17sin90/sin 39

x = 27.0 m

Kindly note that we substituted x for AB

2. To find the measure of angle A we use the sine rule as used above, but here we have a missing angle and not a missing side

Thus;

34/sin 127 = 20/sin A

Sin A = (20 sin 127)/34

sin A = 0.469

A = sin^-1 0.469

A = 28.0 degrees

Answer:

9,500

Step-by-step explanation:

Answer:

In the last two overs, the bowler gave 14 runs.

Step-by-step explanation:

The bowling rate of 4.5 in the first 8 over means he gave 32.5 runs.

i.e.

Score given in first 8 overs = 4.5 × 8 = 36

Given that the bowling economy 5 at the end of 10 overs means the bowler must have given 10 × 5 = 50 score in the total 10 overs.

so, subtract 36 from 50 to get the score he will be giving in the last two overs.

i.e. score given the last two overs = 50 - 36 = 14

Therefore, in the last two overs, the bowler gave 14 runs.

Answer:

She earned 1102.50 from the sale.

Step-by-step explanation:

I'd say break the percentage down

5.25÷100=0.0525

21,000×0.0525=1102.5 or 1102.50

Answer:

D

x is less than or equal to -3

Step-by-step explanation:

I hope I was fast enough ^^

Answer:

Step-by-step explanation:

No problem

Answer:

$9.35

Step-by-step explanation:

14.86+25.88+5.76=46.5

55.85-46.5=9.35

Answer:

The rounded number would be nine

Step-by-step explanation:

It would be nine because you convert 55.85 to 56 then convert 14.86 to 15 convert 25.88 to 26 and convert 5.76 to 6 then subtract all of that to get nine hope it helps

Answer: i believe its yes

Step-by-step explanation:

Answer:

B. Yes

Step-by-step explanation:

Answer:

c - 4.3 > 16

(hope this helps)

The inequality representing a number c minus 4.3 is no less than 16 is c - 4.3 > 16.

The relationship between two values that are not equal is described by inequalities. Equal does not necessarily mean unequal. The "not equal symbol" is typically used to denote that two values are not equal.

As the condition is suggesting c - 4.3 is no less than 16 means it is greater than 16,

So, c - 4.3 > 16

Therefore, the inequality representing a number c minus 4.3 is no less than 16 is c - 4.3 > 16.

To know more about inequality:

https://brainly.com/question/2038369

#SPJ2

Answer:

Step-by-step explanation:

Table representing the function 'f' is,

x     -3      2       3        7    

y     -2      8      10       18

In this table for every input value of x, there is a different output value.

So the function is one to one function.

Therefore, inverse of the given function will have the table as,

x       -2      8      10       18

y       -3      2       3        7    

Answer:

The length of the missing side is

[tex]4 \sqrt{5} \\ if \: you \: want \: it \: not \: simplified \: it \: would \: be \: \\ \sqrt{80} [/tex]

Step-by-step explanation:

You could do Pythagorean theorem which is:

[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {8}^{2} + {4}^{2} = {c}^{2} \\{64} + {16} = {c}^{2} \\ \sqrt{80} = {c}^{2} \\ 4\sqrt{5} = c[/tex]

Answer:

6732FDX

Step-by-step explanation:

Use calculator

Answer:

......................................................................................

Step-by-step explanation:

Answer:

i=-12

Step-by-step explanation:

Answer:

About 15 minutes

Step-by-step explanation:

It takes her 6 minutes to read 20 pgs. If she reads 20 more pages (which will be 40 now) she will have been reading for 12 minutes. This leaves you with 7 pages left, about 3 or 4 minutes.

Answer:

(10, -2)

Step-by-step explanation:

x = 10 (its given in the problem)

then plug in 10 for x in the second equation and solve for y

3(10) + 5y = 20

30 + 5y = 20

5y = -10

y = -2

so the solution is (10, -2)

Answer: $280

Step-by-step explanation:

92.5-36.5 = 56

56x 10 = 560

1/2 x 560 = 280

Benny spent $280 to go to summer camp.

I hope this helps :)