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Naddika [18.5K]
3 years ago
5

Alyn drives 20.4 miles in 17 minutes.

Mathematics
1 answer:
Galina-37 [17]3 years ago
5 0

Answer:

  • 12 mph

Step-by-step explanation:

<em>Speed = distance/time</em>

  • Distance = 20.4 miles
  • Time = 17 minutes = 17*1/60 hours = 17/60 hours

<u>Speed is:</u>

  • 20.4 : 17/60 =
  • 20.4*60/17 =
  • 72 mph

<u>Alyn exceeded the limit by:</u>

  • 72 - 60 = 12 mph
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Laura’s brownie recipe makes 24 brownies , but this time she wants to double the recipe so that she will have 48 brownies. Her o
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Answer:

Laura will need 1/4 cups more chocolate

Step-by-step explanation:

If laura has 2 cups of chocolate to begin with and she needs 2 and 1/4 cups when you subtract you get your answer of 1/4.

Hope this Helps have an awesome day!

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3 years ago
Any help with this greatly appreciated.
Anestetic [448]

Put the equation in standard linear form.

x'(t) + \dfrac{x(t)}{t + 5} = 5e^{5t}

Find the integrating factor.

\mu = \exp\left(\displaystyle \int \frac{dt}{t+5}\right) = e^{\ln|t+5|} = t+5

Multiply both sides by \mu.

(t+5) x'(t) + x(t) = 5(t+5)e^{5t}

Now the left side the derivative of a product,

\bigg((t+5) x(t)\bigg)' = 5(t+5)e^{5t}

Integrate both sides.

(t+5) x(t) = \displaystyle 5 \int (t+5) e^{5t} \, dt

On the right side, integrate by parts.

(t+5) x(t) = \dfrac15 (5t+24) e^{5t} + C

Solve for x(t).

\boxed{x(t) = \dfrac{5t+24}{5t+25} e^{5t} + \dfrac C{t+5}}

3 0
2 years ago
What is 144 divided by 18 in the distributive property
kvv77 [185]
=(140+4) / 8
=(144/8) + (4/8)
=18 + 2
=<span>20</span>
8 0
3 years ago
Estimate the sum 8/10 + 1/9
RideAnS [48]

Answer:

41/45

Step by Step Explanation:

Add: 8/

10

+ 1/

9

= 8 · 9/

10 · 9

+ 1 · 10/

9 · 10

= 72/

90

+ 10/

90

= 72 + 10/

90

= 82/

90

= 2 · 41/

2 · 45

= 41/

45

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(10, 9) = 90. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 9 = 90. In the following intermediate step, cancel by a common factor of 2 gives 41/

45

.

In other words - eight tenths plus one ninth = forty-one forty-fifths.

8 0
3 years ago
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