Ask question

Ask question

All categories

2 years ago

9

9. A cup of tea costs x pence. Coffee costs 20 pence more. Hermes buys 2 cups of tea and one cup of coffee. In total Hermes pays

£3.80. Work out the cost of a cup of tea.

1 answer:

qaws [65]2 years ago

5 0

Answer:

£1.20

Step-by-step explanation:

<u>Given:</u>

Tea = x
Coffee = x + 0.2

<u>Comparing the total cost, work out the value of x:</u>

2x + x + 0.2 = 3.80
3x = 3.60
x = 1.20

You might be interested in

The quantity demanded x each month of Russo Espresso Makers is 250 when the unit price p is $138. The quantity demanded each mon

Stells [14]

Answer:

(a) $D(q)=\frac{-1}{25} q+148$

(b) $S(q)=\frac{1}{50}q+58$

(c) $p_{*} =88\\\\q_{*} =1500$

Step-by-step explanation:

(a) For the demand equation D(q) we have

<em>P1: 138 Q1: 250</em>

<em>P2: 108 Q2: 1000</em>

We can find <u><em>m</em></u>, which is the slope of the demand equation,

$m=\frac{p_{2} -p_{1} }{q_{2} -q_{1} }=\frac{108-38}{1000-250} =\frac{-30}{750}=\frac{-1}{25}$

and then we find b, which is the point where the curve intersects the y axis.

We can do it by plugging one point and the slope into the line equation form:

$y=mx+b\\\\D(q)=mq+b\\\\138=\frac{-1}{25}(250) +b\\\\138=-10+b\\\\138+10=b=148$

<em>With b: 148 and m: -1/25 we can write our demand equation D(q)</em>

$D(q)=\frac{-1}{25} q+148$

(b) to find the supply equation S(q) we have

<em>P1: 102 Q1: 2200</em>

<em>P2: 102 Q2: 700</em>

<em></em>

Similarly we find <em>m</em>, and <em>b</em>

$m=\frac{p_{2} -p_{1} }{q_{2} -q_{1} }=\frac{72-102}{700-2200} =\frac{-30}{-1500}=\frac{1}{50}$

$y=mx+b\\\\D(q)=mq+b\\\\72=\frac{1}{50}(700) +b\\\\72=14+b\\\\72-14=b=58\\$

<em>And we can write our Supply equation S(q):</em>

$S(q)=\frac{1}{50}q+58$

(c) Now we may find the equilibrium quantity q* and the equilibrium price p* by writing <em>D(q)=S(q)</em>, which means the demand <u><em>equals</em></u> the supply in equilibrium:

$D(q)=S(q)\\\\\frac{-1}{25}q+148=\frac{1}{50}q+58\\\\$

$148-58=\frac{1q}{50} +\frac{1q}{25} \\\\90= \frac{1q}{50} +\frac{2q}{50}\\\\90=\frac{3q}{50}\\ \\q=1500\\\\$

We plug 1500 as q into any equation, in this case S(q) and we get:

$S(q)=\frac{1}{50}q+58\\\\S(1500)=\frac{1}{50}(1500)+58\\\\S(1500)=30+58\\\\S(1500)=88$

Which is the equilibrium price p*.

8 0

3 years ago

A jar contains 133. A bigger jar contains 1 2/7 times as many pennies.what is the value of the pennies in the bigger jar

adoni [48]

A jar contains 133 pennies....a bigger jar contains 1 2/7 times as much

so the bigger jar contains :
1 2/7 * 133
9/7 * 133 =
1197/7 =
171 pennies <===

4 0

3 years ago

If the scale factor of a scale drawing is greater than one, the scale drawing is larger than the actual object

galina1969 [7]

False, for example, if the scale factor is 2, the scale drawing would still be smaller because it would be twice as smaller than the actual object.

5 0

3 years ago

What is the dot product of vectors<br>

Paul [167]

Answer:

The dot product of vectors is the method used to "multiply" vecotrs since vectors aren't directly multiplieable

Step-by-step explanation:

7 0

3 years ago

A rectangle is 25 feet long.Its area is 375 square feet. What is the width of the rectangle?

frosja888 [35]

To find the width, divide the area by the length.

Width = 375 / 25

Width = 15 feet.

6 0

3 years ago

Read 2 more answers