Amy simplifed this complex fraction problem. Negative 2 and one-half divided by five-fourths = Negative five-halves divided by five-fourths = negative five-halves (five-fourths) = negative StartFraction 10 over 8 EndFraction. The quotient is negative five-fourths. What errors did Amy make? Select all that apply.

Answer:

KL = 16

Step-by-step explanation:

For this problem, JL is the sum of KL and JK.  So we can say this:

JK + KL = JL

( 3x + 6 ) + ( 5x + 6 ) = 28

8x + 12 = 28

8x = 16

x = 2

So, now we can find KL:

5x + 6 = ?

5(2) + 6 = ?

10 + 6 = ?

16 = ?

So the length of KL is 16.

Cheers.

Isolate the variable with algebraic manipulation.

[tex]V=\frac{1}{3}\pi r^2h[/tex]

[tex]3V=\pi r^2h[/tex]

[tex]\frac{3V}{\pi r^2}=h[/tex]

Hope this helps.

頑張って!

Step-by-step explanation:

For example, in order to multiply 832,000 by 0.00035, one converts first to scientific notation as follows: (832,000)×(0.00035)=(8.32×10 5)×(3.5×10 −4)=8.32×3.5×10 5×10 −4=29.12×10 1=2.912×10 2 (in scientific notation) or 291.2 (in ordinary notation).

Answer:

0.00035 = 3.5 × 10 to the -4

Hope it helps :)

Answer:

1089

Step-by-step explanation:

2000 | 2

1000 | 2

500 | 2

250 | 2

125 | 5

25 | 5

5 | 5

1

√2000 = √2².√2².√5².√5

√2000 = 2.2.5√5

√2000 = 20√5

(aproximadamente 44.72135955)

Answer:

22.

Step-by-step explanation:

If lines A and B are parallel to each other, then 4x + 28 = 116.

4x + 28 = 116

4x = 88

x = 22.

Answer:

Step-by-step explanation:

greatest to least

1. 7.81 x 10^1

2. √(61)

3. ∛(343)

4.  .78

5. 7/9

6. 8%

Answer:

pq= 12 cm

Step-by-step explanation:

I believe PQ would be 12 cm.

Answer: 25

Step-by-step explanation:

There are two variables which is u and v and is given that u is 3 and v is 7  so input that into the expression and solve.

2(3)^2 + 7      Solve the exponent first

2(9) + 7      Now multiply then add

18 + 7 = 25

Answer: 7x+21

HOPE THIS HELPS :>

Step-by-step explanation:

Answer:

Not really. No.

Step-by-step explanation:

15.3 in scientific notation would be represented as "1.53e+1." 15.3 isn't a very large or tiny number. Usually numbers that would be represented by scientific notation would be numbers such as "600,000,000" or "0.00000012" etc. 15.3 is just a standard decimal so it's not really practical.

Hope this helps and have a nice day!

Answer:

a = 33cm

b = 33cm

c = 11cm

Step-by-step explanation:

Let us say that the sides of the triangle are a, b and c

The perimeter of a triangle can be calculated by adding all three sides of the triangle.

Perimeter = a + b + c

Let side c be the shortest side of the triangle.

From the statement "Each of the two longer sides of the triangle is three times as long as the shortest side" we can have that

a = 3c and b = 3c

We can input these values into the perimeter of the triangle

Perimeter = 3c + 3c + c = 77

Perimeter = 7c = 77

c = 11

The shortest side, c is = 11 cm

side a is 3 X 11 = 33cm

side b = 3 X 11 = 33 cm

area of triangle formula = ½ × Base × Height

X² - X - 2 = ½ × ( X + 1) × Height

X² - X - 2 = (0.5X + 0.5)Height

Therefore,

Height = ( X² - X - 2 ) / ( 0.5X + 0.5 )

[tex]\sqrt{13}[/tex] = 3.60555127546

rounded to the nearest hundredth:

3.61

Answer:

one line

two planes intersect in one line

Answer:

-1,  0.05,  0.1,  2/3,  8/7

Step-by-step explanation:

Answer:

[See Below]

Step-by-step explanation:

✦ First turn every number into a decimal that can be turned into a decimal:

  ✧ 0.1

  ✧ 1.14 (8/7)

  ✧  -1 (Can't be turned into a decimal)

  ✧ 0.66 (2/3)

  ✧ 0.05

✦ Now just order them from Least to Greatest:

  ✧ -1, 0.05, 0.1, 0.66, 1.14

~Hope this helps Mate. If you need anything feel free to message me.

Answer:

its c

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

Answer:

Step-by-step explanation:

13x + 10x + 3 = 141

23x + 3 = 141

23x = 138

x = 6

Answer:

The acceleration is 160 m/s/s

Step-by-step explanation:

The unit m/s/s tells you that the car is accelerating at a rate of 160 m/s/s.

Answer:

Any value of D would make this equation true (-∞,∞)

Answer:

infinitely many solutions

Step-by-step explanation:

i ready

Answer:

X-16 the first one

Step-by-step explanation:

The first one is equal to x-4

Answer:

Answer is C.) a 90° counterclockwise rotation about the origin and then a translation 16 units right and 16 units up

Step-by-step explanation:

Rotating the triangle 90° counterclockwise will take the triangle to 3rd quadrant and then further moving it 16 steps right will take it to 4th quadrant and followed by 16 steps upward will take it to the desired position which is in 1st quadrant.

Answer:

x = 4

Step-by-step explanation:

Well, move the 10 over to the 30.  The 10 is positive, so you subtract.

5x = 20

Now Divide!

5x/5 = 1x or x

20/5 = 4

So,

x = 4

Answer:

(x - y + 3)(x + y - 7)

Step-by-step explanation:

x^2 - 4x - 21 + 10y - y^2

= x^2 - y^2 - 4x -21 + 10y

= (x - y)(x + y) - 4x + 10y - 21     Now -21 = + 3 * -7   and +3x - 7x =- 4x so we try:

= (x - y + 3)(x + y - 7)

- this expands to the original expression.

Answer:

(x+y-7)(x-y+3) is your answer

Step-by-step explanation:

x²-4x-21+10y-y²

x²-4x+2²-2²-21+10y-y²

(x-2)²-(y2-10y+25)

(x-2)²-(y-5)²

(x-2+y-5)+x-2-y+5)

(x+y-7)(x-y+3)

Answer:

x=5,y=2,z=-1

Step-by-step explanation:

x+y+z=6 ........1

2x-y+3z=5 ..........2

3x+2z=13 ⇒3x=13+2z ⇒ x=(13-2z)/3

substitute for x in equation 1 and 2

13-2z/3+y+z=6 ⇒13/3 -2z/3+y+z=6 ⇒z/3+y=6-13/3

2(13-2z)/3-y+3z=5

26/3-4z/3-y+3z=5⇒5z/3-y=5-26/3⇒

5z/3-y+z/3+y=-11/3+5/3

6z/3=-6/3

x=(13+2)/3

5+y-1=6

y=6+1-5

Answer:

[tex]Probability = 23.3\%[/tex]

Step-by-step explanation:

Given

Number cube

Toss = 8

Required

Probability of not landing on 3

First we need to get the probability of landing on 3 in a single toss;

For a number cube;

[tex]n(3) = 1[/tex] and [tex]n(Total) = 6[/tex]

So; the probability is

[tex]P(3) = \frac{1}{6}[/tex]

First we need to get the probability of not  landing on 3 in a single toss;

Opposite probability = 1;

So:

[tex]P(3) + P(3') = 1[/tex]

Make P(3') the subject of formula:

[tex]P(3') = 1 - P(3)[/tex]

[tex]P(3') = 1 - \frac{1}{6}[/tex]

[tex]P(3') = \frac{5}{6}[/tex]

In 8 toss, the required probability is

[tex]Probability = (P(3'))^8[/tex]

This gives

[tex]Probability = (\frac{5}{6})^8[/tex]

[tex]Probability = \frac{390625}{1679616}[/tex]

[tex]Probability = 0.23256803936[/tex]

Convert to percentage

[tex]Probability = 23.256803936\%[/tex]

Approximate to 1 decimal place:

[tex]Probability = 23.3\%[/tex]

Answer:

Step-by-step explanation:

30b + 53 ≥ 18b - 83

30b - 18b ≥ -83 - 53

12b ≥ -136

b ≥ - [tex]\frac{136}{12}[/tex]

Answer:

30°

Step-by-step explanation:

[tex] \because \: \sin(90 \degree - \theta) = \cos \theta \\ \therefore \: \sin(90 \degree - 5 \theta) = \cos 5\theta....(1) \\ \\ \sin(90 \degree - 5 \theta) = \cos(180 \degree - \theta)...(2) \\ from \: (1) \: and \: (2) \\ \cos 5\theta = \cos(180 \degree - \theta) \\ 5 \theta = 180 \degree - \theta \\ 5 \theta + \theta= 180 \degree \\ 6\theta= 180 \degree \\ \theta = \frac{180 \degree}{6} \\ \\ \huge \red{ \boxed{\theta = 30 \degree}}[/tex]