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Marta_Voda [28]
3 years ago
14

What is the value of the expression

Mathematics
1 answer:
Advocard [28]3 years ago
5 0

Answer:

c. 17/2

Step-by-step explanation:

y(1/2 + z) + 6

2 (1/2 + 3/4) + 6

1 + 6/4 + 6

find common denominator

4/4 + 6/4 + 24/4 = 34/4 reduced to 17/2

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Is 2/3 + 9.26 rational
matrenka [14]

Answer:

Yes

Step-by-step explanation:

In mathematics, a rational number is a number such as -3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1.

An Irrational ia (of a number, quantity, or expression) not expressible as a ratio of two integers, and having an infinite and nonrecurring expansion when expressed as a decimal. Examples of irrational numbers are the number π and the square root of 2.

Rational numbers include natural numbers, whole numbers, and integers. They can all be written as fractions. Sixteen is natural, whole, and an integer. Since it can also be written as the ratio 16:1 or the fraction 16/1, it is also a rational number.

In mathematics, the irrational numbers are all the real numbers which are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers.

So, it is rational

7 0
3 years ago
Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 3 inches, and the larger gear has a ra
Crank

Answer:

<u>Part 1:</u> Angle = 154.3°

<u>Part 2:</u> About 2.33 Rotations


Step-by-step explanation:


Part 1:

The arc length of a circle is given by the formula  s=r\theta

Where

  • s is the arc length
  • r is the radius of the circle
  • \theta is the angle

**The angle are in radians and we will use radian**

When smaller gear has made 1 complete rotations (2\pi radians), the arc length traveled is s=r\theta\\s=(3)(2\pi)\\s=6\pi


Now, what angle is swept by the larger circle when it travels 6\pi? Put in s=6\pi and r is 7 to find \theta:

s=r\theta\\6\pi=(7)\theta\\\theta= \frac{6\pi}{7}

** Since \pi radians is 180°, we plug in 180 into \pi and find the degree measure:

\frac{6\pi}{7}=\frac{6*180}{7}=154.3

Angle = 154.3°


Part 2:

In one complete rotation of the larger gear, it travels a distance of:

s=r\theta\\s=(7)(2\pi)\\s=14\pi

We know that the smaller circle makes 1 rotation and travels s=r\theta=(3)(2\pi)=6\pi, so in 14\pi distance, it makes:

Rotations = \frac{14\pi}{6\pi}=\frac{14}{6}=2.33

About 2.33 Rotations

4 0
3 years ago
Please I need to have this done in less then 40 min
SSSSS [86.1K]

Answer: first blank is 4/25.

second blank on the top row is 16:100=4:25.

First blank on the second row is 13/50.

The second blank on the second row is 26:100=13:50.

The first blank on the third row is 33:50.

The first blank on the fourth row is 4/7.

The second blank on the fourth row is 57%.

The third blank is 0.57.

Step-by-step explanation:

16/100 simplified is 4/25. 16÷4=4 100÷4=25

ratios are also fractions.

26/100 simplified is 13/50. 26÷2=13 100÷2=50

66/100 simplfied is 33/50. 66÷2=33 100÷2=50

4÷7(rounded down)=0.57


6 0
3 years ago
When Evelyn was done, she checked her account balance and found she had a total of $208.16. How much money was in Evelyn’s accou
crimeas [40]
B is the correct answer  <span />
7 0
3 years ago
Read 2 more answers
Not sure need help ​
Alchen [17]

Answer:

9^8

43046721

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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