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3 years ago

A boat takes 5hrs to go 25miles upstream. It can go 50miles downstream at the same time.

1 answer:

3 0

We are told that the boat can travel 25 miles upstream in 5 hours. That comes to

25 miles
------------ = 5 mph.
5 hours

In the same 5 hours, that boat can travel 50 miles downstream. That comes to

50 miles
------------ = 10 mph
5 hours

Was there more to this question than the above?

Note: "It can go 50 miles downstream IN the same time (5 hours)."

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NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER

docker41 [41]

Answer:

400

Step-by-step explanation:

3 0

3 years ago

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Prove that the expression (y+8)(y-7)-y(y+1) is negative for any value of y

Anna71 [15]

Answer:

-56

Step-by-step explanation:

=(y)(y)+(y)(−7)+(8)(y)+(8)(−7)+−y2+−y

=y2+−7y+8y+−56+−y2+−y

=(y2+−y2)+(−7y+8y+−y)+(−56)

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3 years ago

A 40% sugar solution is added to an 85% sugar solution to create 1800 mL of a 60% solution. How much of each solution is used? (

denis-greek [22]

Answer:

Number of ml of 40% sugar = x = 1000mL

Number of ml of 85% sugar used = y = 800mL

Step-by-step explanation:

Let the

Number of ml of 40% sugar = x

Number of ml of 85% sugar used = y

From the above question, our system of equations is given as:

x + y = 1800mL ....... Equation 1

x = 1800 - y

40% × x + 85% × y = 60% × 1800mL

0.4x + 0.85y = 1080.... Equation 2

We substitute 1800 - y for x in Equation 2

0.4(1800 - y) + 0.85y = 1080

720 - 0.4y + 0.85y = 1080

- 0.4y + 0.85y = 1080 - 720

0.45y = 360

y = 360/0.45

y = 800mL

Solving for x

x = 1800 - y

x = 1800 - 800

x = 1000mL

Therefore,

Number of ml of 40% sugar = x = 1000mL

Number of ml of 85% sugar used = y = 800mL

4 0

3 years ago

Write the repeating decimal $0.\overline{51}$ as a fully simplified fraction.

Firlakuza [10]

Answer:

17/33

Step-by-step explanation:

...aops

5 0

3 years ago

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A large cylindrical cooler is 2 (1 )/2 feet high and has a diameter of 1 1/2 feet. It is filled 3/4 high with water for athletes

Ivahew [28]

So.. if hmm check the picture below, the radius is half that diameter

thus $\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h\qquad 
\begin{cases}
h=height\\
r=radius=\frac{diameter}{2}\\
----------\\
h=2\frac{1}{2}\to \cfrac{5}{2}\\
diameter=1\frac{1}{2}\to \cfrac{3}{2}\\
r=\cfrac{\frac{3}{2}}{2}\to \cfrac{3}{4}
\end{cases}\implies V=\pi \left( \cfrac{3}{4} \right)^2\cfrac{5}{2}
\\\\\\
V=\pi \cdot \cfrac{9}{16}\cdot \cfrac{5}{2}\impliedby \textit{how much is }\frac{3}{4}\textit{ of that?}
\\\\\\
\cfrac{3}{4}\left( \pi \cdot \cfrac{9}{16}\cdot \cfrac{5}{2} \right)$

simplify that away

now.. that's how much is in the cooler in cubic feet though, not in gallons

notice, our units were in feet, thus our volume is also in feet, just cubics

so. to know how many gallons, simply divide that by 231

$\bf \cfrac{\frac{3}{4}\left( \pi \cdot \frac{9}{16}\cdot \frac{5}{2} \right)}{231}\quad gallons$

4 0

4 years ago