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3 years ago

Two blends of tea are mixed to make a blend that will be sold at the fair. Black tea sells for $2.20 per pound and orange pekoe

tea sells for $3.00 per pound. How much of each should be used to obtain a 4lb blend selling for $2.50 per pound?

Mathematics

1 answer:

Reptile [31]3 years ago

4 0

$7.70 or - 3.3$

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One million people have equal chances of being called by telephone from a broadcasting show. Determine the probability of one pa

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2 years ago

In a baseball league consisting of 15 teams, each team plays each of the other teams three times. How many games will be played

denis23 [38]

Answer:

315

Step-by-step explanation:

Each of the 15 teams plays each of the other 14, for a total of 210 games. However, that count includes both A playing B and B playing A. Hence, if the teams meet 3 times, the total number of games will be 3/2 this amount:

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3 years ago

Work out the area of this quarter circle of radius 8cm, Give you answer in terms of pi

oee [108]

Answer:

The area of the quarter circle is $16\pi\ cm^{2}$

Step-by-step explanation:

we know that

The area of a quarter circle is equal to

$A=\frac{1}{4}\pi r^{2}$

we have

$r=8\ cm$

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$A=\frac{1}{4}\pi (8)^{2}$

$A=16\pi\ cm^{2}$

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3 years ago

Write the equation in slope-intercept form through the point (-4, -7) and is perpendicular to the line y = -(7/4)x + 4 and graph

Scilla [17]

You have to write the equation for a line that crosses the point (-4, -7) and is perpendicular to the line

$y=-\frac{7}{4}x+4$

When you have to determine a line that is perpendicular to a known line, you have to keep in mind that the slope of the perpendicular line will be the negative inverse of the first one.

If for exampla you have two lines, the first one being:

$y_1=mx+b$

And the second one, that is perpedicular to the one above:

$y_2=nx+c$

The slope of the second one is the negative inverse of the first one:

$n=-\frac{1}{m}$

The slope of the given line y=-7/4+4 is m=-7/4

So the slope of the perpendicular line has to ve the inverse negative of -7/4

$\begin{gathered} n=-(-\frac{4}{7}) \\ n=\frac{4}{7} \end{gathered}$

Considering it has to pass through the point (-4,-7) and that we already determined its slope, you can unse the point slope formula to determine the equation of the perpendicular line:

$y-y_1=m(x-x_1)$

replace with the coordinates of the point and the slope and calculate:

$\begin{gathered} y-(-7)=\frac{4}{7}(x-(-4)) \\ y+7=\frac{4}{7}(x+4) \\ y+7=\frac{4}{7}x+\frac{16}{7} \end{gathered}$

Subtract 7 to both sides of the equation to write it in slope-intercept form:

$\begin{gathered} y+7-7=\frac{4}{7}x+\frac{16}{7}-7 \\ y=\frac{4}{7}x-\frac{33}{7} \end{gathered}$

Now you can graph both lines

8 0

1 year ago