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Lana71 [14]
3 years ago
14

The coffee merchant plans to mix some fancy $6.50 per pound ground coffee called royal soil with 10 pounds of a lowly $2 per pou

nd ground called royal peasant. How many pounds of the $6.50 per pound ground coffee should he use?
Mathematics
1 answer:
taurus [48]3 years ago
8 0

Answer and explanation:

Given:

Royal soil= $6.50 per pound

Royal peasant = $2 per pound of 10 pounds

Blend total pounds is x+10, price is unknown hence solved below

Using algebra

We find unknown x = number of pounds of royal soil

$6.50(x)+$2(10)=6.50x+20/x+10(x+10)

= 6.50x+20= 6.50x²+85x+200

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Evaluate each expression 3 1/2 - 4 2/3
Kruka [31]

Answer:

-7/6

Step-by-step explanation:

To evaluate this, start by turning each into improper fractions.

3 1/2 - 4 2/3

7/2 - 14/3

Now give both common denominators and complete the operation.

7/2 - 14/3

21/6 - 28/6

-7/6

5 0
3 years ago
A dollar bill is 6.14 inches long, 2.61 inches wide, and 0.0043 inches thick. If you laid 1 million dollar bills end to end, how
navik [9.2K]
The answer would be 97 when rounded to the nearest mile (if you were were going for length)
4 0
3 years ago
Fred cut an 84 centimeter rope into 2 parts and gave his sister one part. Fred's part is 56 centimetres long. His sister cut her
Vladimir79 [104]
Hi,
Since Fred's part was 56 cm, his sister's was 84-56=28
She cut it into 4 parts, so 28/4=7 cm
Her rope was 7 cm long.
Hope this helps you.
7 0
2 years ago
Robert is lying on the ground, looking at the top of a flagpole. The angle of elevation to the top of the flagpole is
NeTakaya

Answer:

Height of flagpole = 571 ft

Step-by-step explanation:

Given:

Angle of elevation to the top of the flagpole is 55° .

Distance from the eyes to the base of flagpole = 400 ft.

To find the height of the flagpole.

Solution:

We can draw the situation as a right triangle as shown below.

In triangle ABC.

BC=400\ ft

∠C= 55°

To find the length AB (height of the flagpole).

Applying trigonometric ratio :

\tan\theta=\frac{Opposite\ side}{Adjacent\ side}

\tan C=\frac{AB}{BC}

Plugging in values.

\tan 55\°=\frac{AB}{400}

Multiplying both sides by 400.

400\tan 55\°=\frac{AB}{400}\times 400

571.26=AB

∴ AB\approx 571\ ft

Height of flagpole = 571 ft

6 0
3 years ago
Two airplanes leave dallas at the same time and fly in opposite directions. One airplane travels 80 miles per hour faster then t
RSB [31]

recall d = rt, distance = rate * time.


let's say airplane A is going at a rate of "r", therefore airplane B is moving faster, at a rate of "r + 80".

now, after 3 hours, both planes have been travelling for 3 hours each, and say if A has covered "d" miles, then B has covered the slack of 2490 - d.


\bf \leftarrow \underset{A}{\stackrel{r}{\rule[0.22em]{8em}{0.25pt}}}dallas\underset{B}{\stackrel{r+80}{\rule[0.22em]{18em}{0.25pt}}}\to \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ plane~A&d&r&3\\ plane~B&2490-d&r+80&3 \end{array}


\bf \begin{cases} \boxed{d}=3r\\ 2490-d=(r+80)(3) \end{cases} \\\\\\ 2490-\boxed{3r}=3r+240\implies 2250=6r\implies \cfrac{2250}{6}=r\implies \stackrel{A}{375}=r \\\\\\ \stackrel{B}{375+80\implies 455}

4 0
3 years ago
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