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Eduardwww [97]
3 years ago
6

in an arithmetic progression the thirteenth term is 27 and the seventh term is three times the second term,find the first term,t

he common difference and the sum of the first terms​
Mathematics
1 answer:
GuDViN [60]3 years ago
8 0

Answer:

penology

Step-by-step explanation:

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A recipe that makes 8 jumbo blueberry muffins calls for 1 3/4 teaspoons of baking powder. How much baking powder is needed to ma
Nitella [24]

Answer:

It takes 13\frac{1}{8} teaspoons of baking powder to make 5 dozen jumbo muffins.

Step-by-step explanation:

Two quantities a and b are directly proportional if when multiplying or dividing one of them by a number, the other is multiplied or divided by that number. That is, if one magnitude grows, the other will grow in the same proportion; while if one magnitude decreases, the other will decrease in the same proportion.

The simple rule of three allows us to establish the relationship of proportionality between two known values ​​and, based on the knowledge of a third quantity, to calculate the value of the fourth.

In other words, it is necessary to know two magnitudes that will be proportional to each other, and a third magnitude, from which you want to find out, will be a fourth term through the relationship:

a ⇒ b

c ⇒ x

Then: x=\frac{c*b}{a}

where a, b, and c are the known data, and x is the fourth unknown.

In this case, the rule of three can be applied as follows: if 1 dozen contains 12 muffins, 5 dozen jumbo muffins, how many muffins does it contain?

amount of jumbo muffins=\frac{5 dozen*12 jumbo muffins}{1 dozen}

amount of jumbo muffins= 60

Now you apply the following rule of three: if 8 jumbo blueberry muffins requires 1 3/4 ( or, which is the same, 7/4)teaspoons of baking powder, 60 jumbo muffins how many teaspoons of baking powder does it require?

teaspoons of baking powder=\frac{60*\frac{7}{4} }{8}

teaspoons of baking powder= \frac{105}{8} = 13\frac{1}{8}

<u><em>It takes </em></u>13\frac{1}{8}<u><em> teaspoons of baking powder to make 5 dozen jumbo muffins.</em></u>

5 0
3 years ago
PLEASE HELP!!!!!!!!!!!!!!!
anzhelika [568]

Answer:

woah

Step-by-step explanation:

6 0
3 years ago
How do I get the correct answer?
Tems11 [23]

Answer:

1989.674m³

Step-by-step explanation:

It’s difficult to see the picture, and I can’t read the question.  Are you looking for the volume of the composite shape?  If so:

Cylinder: V=\pir²h =

Cone: V=\pir²h/3 =

Hemisphere: V=2/3\pir³ = 2/3

TOTAL: 1570.796+157.079+261.799=1989.674m³

3 0
3 years ago
The luggage allowance on the flight is 20 kg per person.
Temka [501]
.95
1.4
3.125
.6
8.580

Total Weight = 14.655kg
8 0
3 years ago
Read 2 more answers
you have 4500 cubic centimeters of wax. how many cylindrical candles can you make from the wax if each candle is 15 cm tall and
ira [324]
Use the formula for the volume of a cylinder to work out how much wax you need to make one candle.

π×5²×15 = 375π

Then divide the amount of wax you have by the amount of wax you need to produce one candle to work out how many candles you can make.

4500 ÷ 375π = 3.82

However, you can't produce 82% of a candle, so you have to round down to 3 candles.
8 0
3 years ago
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