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3 years ago

The table below shows the quantities of onions consumed

Mathematics

1 answer:

Grace [21]3 years ago

6 0

Answer:

The graph is attached

Step-by-step explanation:

Th table that shows the quantities of onions consumed (in kilogram) over 5 weeks by a person is as follows: (see the attached file)

Plot the points $(1,1),(2,2),(3,3),(4,4),(5,5)$ on the graph.

(see the attached file)

Download docx

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Find the slope of the line that contains the points (–2, 7) and (–7, –6). Match your results to the correct answer below.

atroni [7]

Answer:

13/5

Step-by-step explanation:

slope is the change in y over the change in x

-6 - 7 divided by -7 - (-2)

-13/-5 or 13/5

8 0

3 years ago

A) Find the slope, x-intercept, y-intercept of the line (L):

Black_prince [1.1K]

Answer: 2, 1.5 , -0.75

(b) $4x-3y-10=0$

Step-by-step explanation:

Given

line is $3x+4y-6=0$

Converting it into intercept form

$\Rightarrow 3x+4y=6\\\\\Rightarrow \dfrac{3x}{6}+\dfrac{4y}{6}=\dfrac{6}{6}\\\\\Rightarrow \dfrac{x}{2}+\dfrac{y}{1.5}=1$

So, the x-intercept is $2$ and y-intercept is $1.5$

The slope is given by

$-\dfrac{\frac{1}{2}}{\frac{1}{1.5}}=-0.75$

(b) the line perpendicular to the above line and passing through $(1,-2)$

The slope of the required line

$m=-\dfrac{1}{-0.75}\\\\m=\dfrac{4}{3}$

Equation of the line is given by

$\Rightarrow \dfrac{y-(-2)}{x-1}=\dfrac{4}{3}\\\\\Rightarrow 3y+6=4x-4\\\Rightarrow 4x-3y-10=0$

3 0

3 years ago

(a) How many integers in the range 1 through 120 are integer multiples of 2, 3, or 5? keyboard_arrow_down Solution (b) How many

Umnica [9.8K]

Answer:

(a) 88 integers

(b) 92 integers

Step-by-step explanation:

(a) integers whose last digits are divisible by 2 are multiples of two or numbers whose digits ends with zero. So for number 1-120 , all the even numbers which are sixty in number are are multiples of two.

For 3, numbers whose digits sum is divisible by three are multiples of three. 3,6,9,12,15,18,21,24,27,30 are multiples of three from numbers 1-30. we have four 30s in 120. which means numbers of integers will be 10*4 = 40integers. However out of these numbers , half are also integers of 2 which reduces the number added to 20integers.

For 5, numbers whose digits ends with 5 or 0 are multiples of 5. this gives us 24 integers for 1-120. but out of these 24integers, 16 are common integers of 2 and 3 which reduces the number added to 8integers.

Thus from 1-120 the intergers of 2,3 or 5 = 60+20+8 = 88integers.

(b) if we are considering from numbers 1-140;

for 2 we wil have 70 integers,

for 5 we will have 28 integers, but those integers that end with 0 are also integers of 2 which reduces the number added to 14.

For 7, numbers 7,14,21,28,35,42,49,56,63,70 are multiples of three from 1-70. This pattern is repeated from number 71-140. hence we have 20 integers in all. However 12 of the multiples are also multiples of either 2 or 5 which reduces the number to 8 integers.

Thus from 1-140, the integers of 2, 5, or 7 = 70+14+8 = 92integers

3 0

3 years ago

Tawana has $325.54 in her checking account. She must keep a balance of at least $300 to avoid a fee. She plans to write a check

den301095 [7]

Answer: To pay her bill with the minimum balance to avoid the fee, she needs the total amountof $300+$125.43=$425.43. But she only has $325.54. So, the extra minimum amount she needs to deposit is 425.43-325.54=$99.89.

Hence, the answer is $99.89.

6 0

3 years ago

Read 2 more answers

Highschool math. this one is pretty easy.

Zigmanuir [339]

A bisector splits an angle into two equal angles.

The answer is the last one: it splits the angle into two congruent angles.

5 0

3 years ago