HELP ME HELP ME 10 POINTS

2.5 kg of potatoes cost £1.40 Work out the cost of 4.25 kg of potatoes. 5.95

kvasek [131]

Answer:

£2.38

Step-by-step explanation:

Write and solve an equation of ratios:

£1.40 2.5 kg

----------- = ------------

c 4.25 kg

Cross multiplying, we get:

(£1.40)(4.25 kg) = (2.5 kg*c), or

(£1.40)(4.25 kg)

c = -------------------------- = £2.38

2.5 kg

4 0

3 years ago

A circle has the equation 2x²+12x+2y²−16y−150=0.

KonstantinChe [14]

Answer: B. The coordinates of the center are (-3,4), and the length of the radius is 10 units.

Step-by-step explanation:

The equation of a circle in the center-radius form is:

$(x-h)^{2} +(y-k)^{2}=r^{2}$ (1)

Where $(h,k)$ are the coordinates of the center and $r$ is the radius.

Now, we are given the equation of this circle as follows:

$2x^{2}+12x+2y^{2}-16y-150=0$ (2)

And we have to write it in the format of equation (1). So, let's begin by applying common factor 2 in the left side of the equation:

$2(x^{2}+6x+y^{2}-8y-75)=0$ (3)

Rearranging the equation:

$x^{2}+6x+y^{2}-8y=75$ (4)

$(x^{2}+6x)+(y^{2}-8y)=75$ (5)

Now we have to complete the square in both parenthesis, in order to have a perfect square trinomial in the form of $(a\pm b)^{2}=a^{2}\pm+2ab+b^{2}$ :

For the first parenthesis:

$x^{2}+6x+b^{2}$

We can rewrite this as:

$x^{2}+2(3)x+b^{2}$

Hence in this case $b=3$ and $b^{2}=9$ :

$x^{2}+2(3)x+3^{2}=x^{2}+6x+9=(x+3)^{2}$

For the second parenthesis:

$y^{2}-8y+b^{2}$

We can rewrite this as:

$y^{2}-2(4)y+b^{2}$

Hence in this case $b=-3$ and $b^{2}=9$ :

$y^{2}-2(4)y+4^{2}=y^{2}-8y+16=(y-4)^{2}$

Then, equation (5) is rewritten as follows:

$(x^{2}+6x+9)+(y^{2}-8y+16)=75+9+16$ (6)

Note we are adding 9 and 16 in both sides of the equation in order to keep the equality.

Rearranging:

$(x-3)^{2}+(y-4)^{2}=100$ (7)

At this point we have the circle equation in the center radius form $(x-h)^{2} +(y-k)^{2}=r^{2}$

Hence:

$h=-3$

$k=4$

$r=\sqrt{100}=10$

8 0

3 years ago

One of the major reasons to use statistics is to transform data into information.

oksian1 [2.3K]

Answer:

Option A

Step-by-step explanation:

Statistics is basically the analysis of figures and data to give explanatory understanding of these figures and data in form of an information for future research, further analysis and development.

Data is an important tool for development and some are represented in form of figures and the only way to extract some information is using statistics, which is a mathematical tool.

Technological advancement has always been as the end product of information extracted from data in different forms. statistics has various methods to explain data processes and that is why data scientists and statisticians have a good bond in this profession because they share the same idea to give a common goal which is information

7 0

3 years ago

A. 4.5 square 3 b.9 c. 9 square 2 b 9 square 3

LiRa [457]

Sus among us sussy sushi suss

4 0

3 years ago

Leanne can type 212 words in 4 minutes what is her average typing speed in one minute

Alinara [238K]

212 words /4 minutes

53 words per minutes

6 0

3 years ago