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3 years ago

Do any numbers multiply into 7 and add up to 8? or is it unfactorable

Mathematics

1 answer:

faltersainse [42]3 years ago

5 0

1
1x7=7
1+7=8
1 is the answer

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I promise I will mark as brainiest if a speed of a car increase its average speed in a journey of 200 miles by 5 mile/hour the j

jok3333 [9.3K]

Answer:

$\large \boxed{\sf \ \ \ \dfrac{\sqrt{4025}-5}{2}=29.22144... \ \ \ }$

Step-by-step explanation:

Hello

<u>Let's note the original speed of the car v</u>

it means that in 1 hour he is going v miles

so to go 200 miles it takes ( in hour)

$\dfrac{200}{v}$

If the speed of the car is v+5 than to go 200 miles it takes (in hour)

$\dfrac{200}{v+5}$

and this time is one hour less so we can write

$\boxed{\sf \ \ \dfrac{200}{v+5}=\dfrac{200}{v}-1 \ \ }$

We can multiply by v(v+5) both parts of the equation so

$200v=200(v+5)-v(v+5)\\\\200v=200v+1000-v^2-5v\\\\v^2+5v-1000=0$

$\Delta=b^2-4ac=5^2+4*1000=4025\\\\ \text{There are potential solutions }\\\\\ \ \ \ \ x_1=\dfrac{-5-\sqrt{4025}}{2}\\\\\ \ \ \ \ x_2=\dfrac{-5+\sqrt{4025}}{2}$

Only one is positive and this is is

$x_1=\dfrac{\sqrt{4025}-5}{2}=29.22144...$

So the original speed is 29.22144... mph

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

7 0

3 years ago

PLS HELP!! BRAINLIESt & 20 POINTS!! AND AN EXTRA THANKS AND 5 STARS

sasho [114]

Answer:

Step-by-step explanation:

a) Frequency table:

Category Frequency

Dog 4

Cat 3

Fish 2

Hamster 1

b) Relative frequencies of each animal type

Dog: 4/10 = 0.4

Cat: 3/10 = 0.3

Fish: 2/10 = 0.2

Hamster: 1/10 = 0.1

c) Popularity

Dog is the most popular because it has the highest relative frequency.

Hamster is the least popular because it has the lowest relative frequency.

8 0

3 years ago

Can someone help me with this thank you

levacccp [35]

Answer:

Step-by-step explanation:

This quadratic factors.

x^2 - 15x + 56

= (x - 7)(x - 8)

x - 7 = 0

x = 7

=====

x - 8 = 0

x = 8

====

{7,8}

5 0

3 years ago

If 0.22... < x <33 , which of the following could be the value of x?

masha68 [24]

Answer:

Step-by-step explanation:

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3 years ago

Lee takes 7 hours to mow all of the yards on his block. If his brother JJ helps him, they are able to do the same job in 3 hours

adelina 88 [10]

It will take JJ 4 hours to mow all of the yards in his block alone

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3 years ago