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3 years ago

Divide. Write your answer as a fraction in simplest form. −2 4/5÷(−7)=

Mathematics

2 answers:

sergey [27]3 years ago

8 0

Answer:

$\frac{2}{5}$

Step-by-step explanation:

$- 2\frac{4}{5} \div ( - 7)$

$= \frac{2 \times 5 + 4}{5}$

$= \frac{10 + 4}{5}$

$= \frac{14}{5}$

$= - \frac{14}{5} \times 7$

$= \frac{14}{5} \div 7$

$= \frac{2}{5}$

Anit [1.1K]3 years ago

6 0

Answer:

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2/5

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For a certain model of car the distance d required to stop the vehicle if it is traveling at v mi/h is given by the formula d =

enyata [817]

Given that <span>For a certain model of car the distance $d$ required to stop the vehicle if it is traveling at $v$ mi/h is given by the formula $d=v+\frac{v^2}{20}, where [tex]d$ is measured in feet.

If Kerry wants her stopping distance not to exceed 75 ft, then the range of speeds (in mi/h) can she travel is obtained as follows:

$v+ \frac{v^2}{20} \leq75 \\ \\ 20v+v^2\leq1,500 \\ \\ v^2+20v+100\leq1,500+100 \\ \\ (v+10)^2\leq1,600 \\ \\ |v+10|\leq\sqrt{1,600} \\ \\ -40\leq v+10\leq40 \\ \\ -40-10\leqv\leq v\leq40-10 \\ \\ -50\leq v\leq30$

Therefore, the range of speed she can travel is $v\leq30\ mi/hr$
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3 years ago

Work out the surface area of a sphere with the diameter of 13cm

Nikitich [7]

Answer:

That would be 530.93

Step-by-step explanation:

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3 years ago

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Evaluate the expression x^4+9x^2 when x=-3

aalyn [17]

Answer:

162

Step-by-step explanation:

Step 1: Define

x⁴ + 9x²

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Step 2: Substitute and Evaluate

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3 years ago

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I’m about to cry from frustration. Help please before I die

kvv77 [185]

Answer:

$\frac{1}{3}x+16=37$

63 Jelly Beans

Step-by-step explanation:

The unknown is the number of jelly beans originally in the bag or x

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He then ate 16 more jelly beans

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This was equal to 37 jelly beans

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This is the equation

Now solve for x

Subtract 16 from both sides

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Multiply both sides by 3

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3 years ago

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A van and a truck both drove from Town A to Town B. The distance

Gala2k [10]

First we need to find out the time it took for the truck to reach town B.

$Speed= \frac{Distance}{Time}$

$40= \frac{200}{T}$
$T=5hours$

Now, because the van left 1.5 hours earlier and reached the destination 2.5 hours before, it took 1 hour less the the truck to arrive.

$5hours-1hour=4hours$ which is the time it took for the van to arrive.

Now we use the speed equation again to work out speed.

$Speed= \frac{200}{4}$

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3 years ago