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3 years ago

Find the solution to the equation below.

Mathematics

1 answer:

Andreyy893 years ago

3 0

Answer:

B and D

Step-by-step explanation:

The quadratic formula is $x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}$ . Here a=20, b=-26, and c=8.

Substitute and you'll have:

$x=\frac{-b+/-\sqrt{b^2-4ac} }{2a} =\frac{26+/-\sqrt{26^2-4(20)(8)} }{2(20)}=\frac{26+/-\sqrt{676-640} }{40)}$

$\frac{26+/-\sqrt{36} }{40}=\frac{26+/-6 }{40}$

This means the solutions are 26 - 6/ 40 and 26 + 6/ 40.

It simplifies to 1/2 and 4/5.

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A sewer line drops 1 foot every 40 feet. How many feet will it drop over a distance of 100 feet

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Answer:

2.5

Step-by-step explanation:

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3 years ago

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An athlete knows that when she jogs along her neighborhood greenway, she can complete the route in 10 minutes. It takes 20 minu

IgorLugansk [536]

Answer:

10 miles per hour.

Step-by-step explanation:

Let x represent athlete's walking speed.

We have been given that her jogging rate is 5 mph faster than her walking rate, so athlete's jogging speed would be $x+5$ miles per hour.

$\text{Distance}=\text{Rate}\cdot \text{Time}$

10 minutes = 1/6 hour.

20 minutes = 1/3 hour

While walking, we will get $D_{\text{walking}}=x\frac{\text{miles}}{\text{hour}}\cdot \frac{1}{3}\text{hour}$

$D_{\text{walking}}=\frac{x}{3}$

While jogging, we will get $D_{\text{jogging}}=(x+5)\frac{\text{miles}}{\text{hour}}\cdot \frac{1}{6}\text{hour}$

$D_{\text{jogging}}= \frac{(x+5)}{6}$

Since athlete is covering same distance while walking and jogging, so we can equate both expressions as:

$\frac{x}{3}=\frac{x+5}{6}$

Cross multiply:

$6x=3x+15$

$6x-3x=15$

$3x=15$

$\frac{3x}{3}=\frac{15}{3}\\\\x=5$

Therefore, athlete's walking speed is 5 miles per hour.

Jogging speed: $x+5\Rightarrow 5+5=10$

Therefore, athlete's jogging speed is 10 miles per hour.

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4 years ago

Mr. Smith is adding food coloring to water to create his own paint colors. He has 5 1/3 cups of water. to create a color, he nee

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3 years ago

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PLEASE HELP :D ( these are multi step equations )

AnnyKZ [126]

For the first problem the answer is -5/2

2x−7+10=−2

Step 1: Simplify both sides of the equation.
2x−7+10=−2
2x+−7+10=−2
(2x)+(−7+10)=−2

(Combine Like Terms)
2x+3=−2

Step 2: Subtract 3 from both sides.
2x+3−3=−2−3
2x=−5

Step 3: Divide both sides by 2.
2x/2=−5/2
x=−5/2

Answer:
x= -5/2

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3 years ago

There are 50 students in a class. If 14% are absent on a particular day, find the number of students present in the class. What

Tcecarenko [31]

Answer:

i THINK 43% but im not for sure

Step-by-step explanation:

14% of 50 is 7

so 50-7=43

43(percent there)+7(percent gone)=50 (number of students)

SO 43% is still there.

SORRY IF IM WRONG have a good night :)

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3 years ago