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3 years ago

9

Ashby ate a lot for thanksgiving dinner.he decided to go on a long run. He ran 6 miles in 57 minutes.how long did it take him to

run one mile?

1 answer:

Elis [28]3 years ago

4 0

Answer: 9.5

Step-by-step explanation: 57 divided by 6 is 9.5

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The sum of three consecutive terms in an arithmetic sequence is 27, and their product is 585. find the three terms.

sammy [17]

$\text{the three consecutive terms in an arithmetic sequence}\\a;\ a+d;\ a+2d\\\\\text{system of equals}\\\\ \left\{\begin{array}{ccc}a+a+d+a+2d=27\\a(a+d)(a+2d)=585\end{array}\right\\ \left\{\begin{array}{ccc}3a+3d=27&|:3\\a(a+d)(a+2d)=585\end{array}\right\\ \left\{\begin{array}{ccc}a+d=9&\to d=9-a\\a(a+d)(a+2d)=585\end{array}\right\\$
$\text{substitute to the second equation}\\\\a(a+9-a)(a+2(9-a))=585\\\\a(9)(a+18-2a)=585\\9a(18-a)=585\ \ \ |:9\\a(18-a)=65\\18a-a^2=65\ \ \ |\text{change the signs}\\a^2-18a=-65\\a^2-2a\cdot9=-65\ \ \ |+9^2\\\underbrace{a^2-2a\cdot9+9^2}_{(a-b)^2=a^2-2ab+b^2}=-65+9^2\\(a-9)^2=16\to a-9\pm\sqrt{16}\\a-9=-4\ \vee\ a-9=4\ \ \ |+9\\a=5\ \vee\ a=13\\\\d=9-5=4\ \vee\ d=9-13=-4$
$Answer:\ a=5;\ a+d=9; a+2d=13\ vee\ a=13;\ a+d=9;\ a+2d=5$

5 0

3 years ago

Manny has $650 in his savings

Bumek [7]

Answer:

Interest Manny earns after 2 years is $52

Step-by-step explanation:

Amount deposited = $650

Simple annual interest rate = 4%

To find: Interest after 2 years

We know that the formula to calculate the interest amount is

Simple interest (S.I.) = $\frac{Prt}{100}$

where,

P is the initial amount deposited

r is the rate of simple interest in percentage

t is the time in years for which interest is to be calculated

Substituting the known values in the formula, we get

S.I = $\frac{650 x 4 x 2}{100}$

= 52

Hence the interest Manny earns after 2 years is $52

8 0

3 years ago

Read 2 more answers

What fraction is equal to 75% of 1/2

solmaris [256]

Answer:

3/8

Step-by-step explanation:

75% or 0.75 is equivalent to 3/4

3/4 times 1/2 equals 3/8

5 0

3 years ago

Read 2 more answers

Find tan 0<br> 16<br> 20<br> 12<br> A.<br> 19<br> B.<br> D.<br> 20

lisov135 [29]

Answer:

Answer is 16/12

Step-by-step explanation:

Tan is Opposite by Adjacent. the opposite side is 16, adjacent side is 12 and hypotenuse is 20.

so O/A= 16/12

8 0

3 years ago

Read 2 more answers

Jordan will hike the trail at a rate of 4mph. Write a linear equation to represent the distance Jordan still has to walk after x

goldfiish [28.3K]

The linear equation would be y = 18 - 4x which represents the distance Jordan still has to walk after x hours.

The y-intercept represents the total distance Jordan has to walk.

<h3>What is the distance?</h3>

Distance is defined as the product of speed and time.

We have to determine the distance.

So distance = speed× time

Given that his speed is 4 mph and x hours of walking, then:

So distance = 4 × x

Let it Start of the trail: 0 miles

And the end of the trail: 18 miles

The trail length is 18 miles, so if he walked 1 mile, 18 - 1 = 17 miles are left, in general:

⇒ y = 17 - 4(x)

Here y would be the distance Jordan still has to walk.

The y-intercept would be if substitute x = 0, then:

⇒ y = 17- 4(0)

⇒ y = 17

This represents the total distance Jordan has to walk

Hence, the linear equation would be y = 18 - 4x which represents the distance Jordan still has to walk after x hours.

The y-intercept represents the total distance Jordan has to walk.

Learn more about the distance here:

brainly.com/question/13269893

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8 0

1 year ago