The concert lasts 60 minutes, and the songs are all the same length. The choir sings a total of 12 songs, 2 of which are sung by the sopranos only. For how many minutes do the sopranos sing by themselves? Solve the equations using a letter for the unknown quantity.

Answers

Answer 1
Answer: 60mins= 12x
60/12=12x/12
5=x
x= length of songs
5 x 2= 10 mins soprano sings by themselves
Answer 2
Answer:

Answer:

10 minutes

Step-by-step explanation:

60 / 12 = 5

5 *2 = x=10

this means that x = 10


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If 4/5 x blank = 2/5 what is blank

Answers

(4)/(5) \cdot x = (2 )/(5) \ \ /\cdot 5\n \n \not5^(1)\cdot (4)/(\not5^(1)) \cdot x =\not5^(1 ) \cdot (2 )/(\not5^(1))\n \n4x=2 \ \ /:4 \n \nx=(2)/(4)\n \nx=(1)/(2)


(4)/(5)\cdot\fbox{\ }=(2)/(5)\ \ \ \ /\cdot(5)/(4)\n\n(\not5^1)/(\not4_1)\cdot(\not4^1)/(\not5_1)\cdot\fbox{\ }=(\not5^1)/(\not4_2)\cdot(\not2^1)/(\not5_1)\n\n\fbox{\ }=(1)/(2)

Can someone help me with question 10?

Answers

Answer:

m<L = 33; m<K = 20; m<J = 127

Step-by-step explanation:

to solve we must first figure out how much each angle is

m<L = m<K + 13

m<J = 6m<K + 7

so we add them together

m<K + m<K + 13 + 6m<K + 7 = 180

combine like terms

8m<K + 20 = 180

subtract

8m<K = 160

final answer: m<K = 20

thus: m<L = 33; m<J = 127

Oliver buys yen stamps each costing 77centscomplete the calculation he could do to find the total cost

Answers

Hi!
I think that you misspelled the question, and you mean that Oliver bought "ten", not "yen" stamps- yen is the currency of Japan.

So we have 10 stamps of 77 cents each:

10*77=770 cents

He has to pay 770 cents, or since 100 cents are one dollar, 7 dollars and 70 cents.

What’s the function of the Unit Circle and why is it called the unit Circle?

Answers

Answer:

It is a unit of radius that is radius of 1. Thus, the distant to the middle to any edge is always 1.

Step-by-step explanation:

Final answer:

The Unit Circle, a circle with a radius of 1 unit, plays a key role in standardizing angles and distances in trigonometry and geometry. Angles can be measured using radians around the unit circle, converting between degrees and radians as needed. All points on a unit circle are equidistant from the center, aiding in understanding rotational scenarios.

Explanation:

The Unit Circle serves a crucial function in Mathematics, especially in subjects like trigonometry and geometry. The unit circle is a circle that has a radius of 1 unit, which is why it's called the 'Unit' Circle. This seemingly simple circle has profound implications because it standardizes measurement across the entire discipline of mathematics, enabling easier calculations and interpretations.

Radians, which are dimensionless units defining the ratio of arc length to the radius of a circle, are conventionally used to measure angles around the unit circle. A complete rotation or revolution covers 2π radians or 360 degrees. Hence, we can convert between radians, revolutions, and degrees for convenience in different calculations.

In a unit circle, all points on the circumference are equidistant from the center. This distinct property of the circle provides a solid basis for understanding rotational scenarios, which are essential in everything from measuring time to predicting the location of celestial bodies in astronomy.

Learn more about Unit Circle here:

brainly.com/question/11987349

#SPJ12

Complete the function table and write the rule.

Answers

Input  Output
32       20
14        2
?         -6
-2          -14
-10       ?
OK,  With the ones I have gotten full answers on,  the pattern is y=x-12
So,  ? one is 6 because you ADD 12.
? 2 on the y side is -22 because you subtract 12!

When you compute the average monthly income available for a buget, use only the net, or take-home pay.true
false

Answers

True. Cause if you use gross pay you're giving yourself to much and can't make an accurate budget :)