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sleet_krkn [62]
3 years ago
9

Work out m and c for the line: y = x − 6

Mathematics
2 answers:
Nataly [62]3 years ago
8 0

Answer:

As y = mx + c (standard form)

Thus relating the equation , we get

m = 1

c = -6

klasskru [66]3 years ago
6 0

Answer:

m = 1

c = -6

Step-by-step explanation:

m is the gradient of the line.

c is the intercept of the line.

The formula for it is : y = mx+c

so m = 1

c = -6

Hope this helps

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Amy raises $58.75 to participate in a walk a thon. Jeremy raises $23.250more than Amy. Oscar raises 3 times as much as Jeremy. H
stiv31 [10]
1. 58.75 + 23.25 = 82
2. 82*3 = 246

Oscar raised $246
3 0
3 years ago
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A local health clinic surveys its patients about their waterdrinking habits. It found the data is normally distributed,the mean
satela [25.4K]

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

water drinking habits:

mean = 62 ounces

standard deviation = 5.2 ounces

Step 02:

normally distribution:

95% ===> 2 SD

(62 + 5.2 + 5.2) ounces = 72.4 ounces ==> + 2 SD

(62 - 5.2 - 5.2) ounces = 51.6 ounces ==> - 2 SD

The answer is:

51.6 ounces - 72.4 ounces

3 0
1 year ago
A company that manufactures storage bins for grains made a drawing of a silo. The silo has a conical base, as shown below: The f
Romashka-Z-Leto [24]

The following that could be used to calculate the total volume of grains that can be stored in the silo is π(2 ft)²8 ft + 1/3π(2 ft)²(9.5 ft - 8ft)

To answer the question, we need to know what volume is.

<h3>What is volume?</h3>

This is the capacity of a material or container.

Since the silo is made of a cylindrical and a conical part, we need to find the volume of both parts.

<h3>Volume of cylindrical part.</h3>

So, the volume of the cylindrical part V = πr²h where

  • r = radius of cylidrical part = 4 ft/2 = 2 ft and
  • h = length of cylindrical part = 8 ft.

So, V = πr²h

V = π(2 ft)²8 ft

<h3>Volume of the conical part</h3>

The volume of the conical part is given by V' = 1/3πr²h where

  • r = radius of cone = 2ft and
  • h = height of cone.

Since the entire length of silo is 9.5 ft and length of cylindrical part is 8 ft, then the height of cone is h' = 9.5 ft - 8 ft

So, V' = 1/3πr²h'

V' = 1/3π(2 ft)²(9.5 ft - 8ft)

<h3>Total volume of grains in silo</h3>

The total volume of grains equals the total volume of the silo V" = V + V'

V" = π(2 ft)²8 ft + 1/3π(2 ft)²(9.5 ft - 8ft)

So, the following that could be used to calculate the total volume of grains that can be stored in the silo is π(2 ft)²8 ft + 1/3π(2 ft)²(9.5 ft - 8ft)

Learn more about volume here:

brainly.com/question/25248189

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7 0
2 years ago
£90 is divided between Mark, Henry &amp; Gavin so that Mark gets twice as much as Henry, and Henry gets three times as much as G
Phantasy [73]

Answer:

Mark gets £54

Step-by-step explanation:

Let Gavin share=x

Henry=3x

Mark=2(3x)

x+3x+2(3x)=£90

x+3x+6x=£90

10x=£90

x=9

Gavin=x=£9

Henry=3x

=3(9)=£27

Mark=2(3x)

=2(3*9)

=2(27)

=£54

4 0
3 years ago
Can someone please help me with this question? Thank you!
Goryan [66]

Answer: A

<u>Step-by-step explanation:</u>

\stackrel\frown{XY} ≅ \stackrel\frown{YZ}

⇒ ∠XOY ≅ ∠ZOY

\overline{XO} ≅ \overline{ZO} since they are both a radius

\overline{OY} ≅ \overline{OY} based on reflexive property

∴ ΔXOY ≅ ΔZOY by SAS

So, \overline{XY} ≅ \overline{ZY} by CPCTC

ZY = 10.2 is given

so, XY = 10.2 by substitution property


4 0
3 years ago
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