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Julli [10]
3 years ago
5

Drag and drop the fractions to order them from least to greatest. -3/7 1/4 -4/5 2/3

Mathematics
2 answers:
lbvjy [14]3 years ago
8 0

Answer:

-4/5, -3/7, 1/4, 2/3

Step-by-step explanation:

The last one is the greatest as a positive but because it's both the greatest positive but a negative it is the smallest. Since 2/3 is closest to 1 and is positive it would be the greatest. -3/7 is a smaller value than 1/4 as it's closer to 0 than 1/4 is.

Allushta [10]3 years ago
6 0
-4/5, -3/7, 1/4, 2/3

I just turned them into decimals and sorted it.
-4/5 = -0.80
-3/7 = -0.42
1/4 = 0.25
2/3 = 0.67
But you can also infer without converting. -4/5 is closer to being a whole since there are 4 “pieces” out of 5, so only 1 piece left. -3/7 is farther because 4 pieces left. Same with the positive numbers. But this method doesn’t always work because some pieces can be bigger than others like 9/10 (0.90) and 5/6 (0.83)
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A=140° r=16 ft calculate the arc length s and area a for each of the sectors
Alisiya [41]
\bf \textit{arc's length}\\\\
s=\cfrac{\theta \pi r}{180}~~
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
r=16\\
\theta =140
\end{cases}\implies s=\cfrac{(140)\pi (16)}{180}
\\\\\\
\textit{area of a sector of a circle}\\\\
A=\cfrac{\theta \pi r^2}{360}~~
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
r=16\\
\theta =140
\end{cases}\implies A=\cfrac{(140)\pi (16)^2}{360}
4 0
3 years ago
Rufus appears before Bill and Ted and offers them a bogus proposition: they must paint a house together with their magical guita
jolli1 [7]

Answer:

6.79

Step-by-step explanation:

-Let X denote the total amount of the job.

-The job has to be done in 5 hrs, therefore the portion done every hour is:

Rate=\frac{Total}{Time}\\\\=\frac{X}{5}\\\\=\frac{1}{5}X=0.2X

Therefore, the rate of Bill and Ted working jointly must equal the rate calculated above:

R_{Bill}=\frac{X}{19}\\\\=\frac{1}{19}X\\\\R_{Bill}+R_{Ted}=R_{required}\\\\\frac{1}{19}X+R_{Ted}=\frac{1}{5}X\\\\R_{Ted}=\frac{1}{5}X-\frac{1}{19}X\\\\=\frac{14}{95}X\\\\\therefore \frac{14}{95}X=1\ hr\\\\X=1\div \frac{14}{95}\\\\=6.7857\approx 6.79hrs

Hence, Bill working alone should complete the house in 6.79 hrs

6 0
3 years ago
One side of the triangle is 4 cm, and the sum of the other two sides is equal to a
Arlecino [84]

Answer:

A) 9 cm

Step-by-step explanation:

By the Triangle Inequality, any two sides of a triangle must be greater than the remaining side.

In order to minimize the perimeter, we will assume that 4 cm is the longest side.

Thus, the two remaining sides must be greater than 4.

Since we are given that the sum of the two remaining sides is a whole number, the smallest whole number value greater than 4 is 5.

Hence, the smallest perimeter possible 9 cm.

Our answer is A.

8 0
3 years ago
Read 2 more answers
You told your friend you could eat 1/3 a large pizza. If you only ate 3/5 of what you said you could, how much pizza did you eat
Vinvika [58]

Answer:

1/5

Step-by-step explanation:

If you only eat 3/5 of 1/3, you ate 3/5 × 1/3.  Multiply fractions straight across the top and straight across the bottom to get 3/15.  That reduces down to 1/5.  So you ate 1/5 of the large pizza.

8 0
3 years ago
Solve each equation and leave the answer in terms of “i”
almond37 [142]
17)
x² + 8 = -8
x² = -8 - 8
x² = 16
x = ±√-16
x = ±√16i
x = <span>±4i
</span>
18)
x² + 5 = -3
x² = -3 - 5
x² = -8
x = ±√-8
x = ±√8i
x = ±2√2i

19)
x² + 3 = 0
x² = -3
x = ±√-3
x = <span>±</span>√3i

hope this helps, God bless!
3 0
3 years ago
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