1) lucy is playing a game where she has to roll a fair number cube with faces labeled from 1 to 6 . what is the probability that she will roll either a 3 or a 4 on her next roll?
a) 4/6
b) 2/6
c) 3/6
d) 1/6

Answer:

3

Step-by-step explanation:

We know that the slope of a line passing through the points ( x ₁ , y₁) and ( x₂ , y₂ ) is ,

→ Slope ( m ) = ( y₂ - y₁) / ( x₂ - x ₁ )

→ m = -3 - y / -7 - (-1)

→ 1 = -(3+y)/ -7+1

→ 1 = -(3+y) / -6

→ 6 = 3 + y

→ y = 6 - 3

→ y = 3

Answer:

The exact value of sin-1(√32) sin -1 ( 3 2 ) is π3 .

Step-by-step explanation:

Answer:

We have to draw it!

Step-by-step explanation:

Use graph paper:

4 units i graphed it out

Answer: B. 23.07755 has 7 significant digits

Step-by-step explanation:

Answer: 46

Step-by-step explanation:

4(9)+10

36+10

46

Answer:

46

Step-by-step explanation:

4y + 10

4(9) + 10

36 + 10

46

Answer:

12.5

14.4

37.1

57.6

45.9

71.1

77.4

70.4

60

59.4

47.6

34.2

48.3

67.5

75.6

Answer:

Please read explanations

Step-by-step explanation:

By direct calculations, we know that the nearest perfect square to 29 is 25

The next is 36;

Hence, since 29 is between 25 and 36; it is only proper that the square root of 29 is also between the square roots of both numbers

So, we can conclude that the square root is between 5 and 6

For actual values by calculating, we have this as 5.38 which to the nearest number is 5.4

so, we have the dot at the next 4 small lines after the number 5

Answer:

6.388

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

6.38800

Step-by-step explanation:

Answer:

There are 5 shifts per day

Step-by-step explanation:

7 1/2 is equal to 7.5 and 1 1/12 is equal to 1.5

7.5/1.5= 5

Answer:

answer c

Step-by-step explanation:

Answer:

D. 116 square cm

Step-by-step explanation:

This is because the formula to find the area of a triangle is h(b/2). 15 divided by 2 is 7.5 and 7.5 multiplied by 4 is 30. The square's area is 16 and the parallelogram  70. 70 + 30 + 16 = 116.

Answer:

I don't know how you wanted to round it

1)

SA = 8(7) + 12(7) + 10(7) + [tex]\frac{1}{2}[/tex] [tex]\sqrt{-8^4+2(8x12)^2+2(8x10)2-12^4+2(12x10)^2-10^4}[/tex]

SA = 289.3725

V = [tex]\frac{1}{4}[/tex] (7) [tex]\sqrt{-8^4+2(8x12)^2+2(8x10)2-12^4+2(12x10)^2-10^4}[/tex]

V = 277.80389

2)

SA = 8.1(13) + 8(13) + 8.1(13) +  [tex]\frac{1}{2}[/tex] [tex]\sqrt{-8.1^4+2(8.1x8)^2+2(8.1x8.1)^2-8^4+2(8x8.1)^2-8.1^4}[/tex]

SA = 370.94749

V = [tex]\frac{1}{4}[/tex] (13) [tex]\sqrt{-8.1^4+2(8.1x8)^2+2(8.1x8.1)^2-8^4+2(8x8.1)^2-8.1^4}[/tex]

V = 366.2587

Answer:

R = 12

L = 84

Step-by-step explanation:

R + L =96

L = 7R

R = 1R

L = 7R

1 R + 7R = 8R

R = 12

L = 84

hope it helps,

He answered 16 questions correctly, and got 3 wrong answers.

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Explanation:

Let

x,y,z are nonnegative whole numbers.

-------------------

Since there are 20 questions total, this means the first equation to set up is:

x+y+z = 20

Solving for y leads to

x+y+z = 20

y+z = 20-x

y = 20-x-z

We'll use this later.

-------------------

Another equation to set up is 7x-4y = 100 because Eric earns 7 points per correct answer and loses 4 points for each incorrect answer, and all that leads to 100 points total which was his quiz score. We'll ignore the questions he left blank since they add 0 points.

Let's plug the equation in which we isolated y

7x-4y = 100  

7x-4(20-x-z) = 100

7x-80+4x+4z = 100

7x+4x+4z = 100+80

11x+4z = 180

-------------------

Now we can guess and check to see which pair of x and z values will make that last equation above true. I suggest starting with the smallest possible value of x and using that x value to solve for z.

If x = 0, then,

11x+4z = 180

11(0)+4z = 180

4z = 180

z = 180/4

z = 45

So if Eric got 0 correct answers, then he left 45 questions blank. But that isn't possible because there are only 20 questions total. So we'll ignore the case that x = 0.

If we increase x by 4, and decrease z by 11, then we get another ordered pair solution to this equation

So another solution is (x,z) = (4,34)

Note that

11x+4y = 180

11(4) + 4(34) = 180

But like before, z = 34 isn't possible since 20 is the max.

Increase x by 4 again, and drop z by 11 to get (x,z) = (8,23). Again we run into the same issue as before.

Increase x by 4 again, and decrease z by 11 to get (x,z) = (12, 12). Now we have both x and z smaller than 20, but note how x+z = 12+12 = 24 which exceeds the total number of questions. So we rule this case out as well.

Do another round of "increase x by 4, decrease z by 11" to get to (x,z) = (16, 1). This is the only case left because anything beyond this, z will be negative.

Luckily, this final case does work. If Eric answers x = 16 questions correctly, then he left z = 1 of them blank. That must mean y = 20-x-z = 20-16-1 = 3 questions were incorrect.

We can see that:

7x-4y = 7(16)-4(3) = 112-12= 100

meaning that (x,y) = (16,3) is a solution to 7x-4y = 100.

-------------------

To summarize, we found that the only possible solution is (x,y,z) = (16, 3, 1)

Meaning x = 16 questions were correct, y = 3 were wrong, and z = 1 question was left blank.

Answer:

5 bottles

Step-by-step explanation:

a total of $0.80 was paid

6 $0.05 bottles were returned= $0.05×6= $0.30

remainder= $0.80-$0.30= $0.50

amount of $0.10 bottles returned= $0.50÷$0.10= 5

Answer: 1331

Step-by-step explanation: v=lwh

The volume would be 1,331 cm cubed. I hope this helps, have a good day!

Answer:

1. x = 67.5

2. x = 2.5

3. x = 35.2

4. x = 2.0

5. x = 17.0

Step-by-step explanation:

Question 1

The proportion is set up in the form x/9 = 15/2. Multiply both sides by two to get rid of the two in the denominator on the right side. After doing so, multiply by 9 on both sides to get rid of the 9 in the denominator on the left:

2x/9 = 15

2x = 9(15)

Next solve for x:

2x = 135

x = 67.5

Question 2

The proportion is set up in the form 20/8.7 = 5.8/x. Multiply both sides by the second denominator, x, and then both sides by the first, 8.7. This will leave you with the work below:

20x/8.7 = 5.8

20x = 8.7(5.8)

Next, solve for x:

20x = 50.46

x = 2.523

Round to the nearest tenth:

x = 2.5

Question 3

The proportion is set up in the form 5/16 = 11/x. Multiply both sides by the second denominator, x, and then both sides by the first, 16. This will leave you with the work below:

5x/16 = 11

5x = 11(16)

Next, solve for x:

5x = 176

x = 35.2

Question 4

The proportion is set up in the form x/0.06 = 17/0.5. Multiply both sides by the second denominator, 0.5, and then both sides by the first, 0.06. This will leave you with the work below:

0.5x/0.06 = 17

0.5x = 17(0.06)

Next, solve for x:

0.5x = 1.02

x = 2.04

Round to the nearest tenth:

x = 2.0

Question 5

The proportion is set up in the form 29/x = 75/44. Multiply both sides by the second denominator, 44, and then both sides by the first, x. This will leave you with the work below:

29(44)/x = 75

29(44) = 75x

Next, solve for x:

1276 = 75x

x = 17.0133

Round to the nearest tenth:

x = 17.0

Answer:

1/ 112

Step-by-step explanation:

1-½ = ½ ( Mr. Daniel's leftover)

½×½= ¼ ( Mr. Richie)

½×¼= 1/8 ( Ms Laura)

½×1/8 = 1/16 ( Ms. Kimberly)

1/7 × 1/16 = 1/ 112 (the last turn)

so, Ms. Sarah eats 1/ 112 of a piece.

Answer:

B and C

Step-by-step explanation:

Tahnks for the brainlt

Answer:

The estimated number of children who attended the parade is 6,336.

Step-by-step explanation:

Since the route for Millburn's Fourth of July parade stretches 2 miles (10,560 feet), and spectators are usually evenly distributed along both sides of the route, and along one side of 50 feet of the route, you count 15 children, to estimate the number of children who attended the parade, the following calculation must be performed:

(10,560 / 50) = 211.2

211.2 x 15 x 2 = X

211.2 x 30 = X

6.336 = X

Therefore, the estimated number of children who attended the parade is 6,336.

Answer:

A: FG = ½GC

Step-by-step explanation:

Since AD, BC and CD are medians concurrent at G, it means G is the centroid.

Now, when median passes through the centroid, the centroid divides the median in the ratio of 2:1.

Also,that the median touches the side of the triangle at their midpoints.

Thus,by inspection, we can say that;

GD = ⅓AD

GC/FG = 2/1

Thus, GC = 2FG and FG = ½GC

BG = ⅔BE

Tbus,looking at the options given and what we have gotten in proof, we can say only FG = ½GC is correct.

Answer:

101.

Step-by-step explanation:

3^4 equals 81.

4 times 5 is 20.

81 plus 20 equals 101.

Your answer is 101.

Answer: factors of 10 are 1, 2, 5, and 10.

Step-by-step explanation: You can also look at this the other way around: if you can multiply two whole numbers to create a third number, those two numbers are factors of the third. 2 x 5 = 10, so 2 and 5 are factors of 10.

Answer:

1,2,5,10

Step-by-step explanation:

1 x 10 = 10

2 x 5 = 10

10 x 1 = 10

Answer:

Step-by-step explanation:

Answer:

12 + 4x = 4(3 + x)

Step-by-step explanation:

Think about what you need to multiply (3 + x) by to get 12 + 4x.

Answer:

so the answer is about 8.40

Steps

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find the number in the tenth place and look one place to the right for the rounding digit. Round up if the number is greater than or equal to 5 but since 2 is less than 5, stays the same

16.820⇒16.82

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8.264⇒8.364

Remember round up if the number is greater than or equal to 5 and round down if the number is less than 5.

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now that we have rounded everything. It is time to estimate 16.82-8.364.

16.82 is close to 16.80 and 8.364 is close to 8.40.

16.80-8.40=8.40

Answer:

Volume of Cylinder X = 712 cm³

Step-by-step explanation:

Given:

Volume of Cylinder Y = 89 cm³

Radius of cylinder Y = 2 cm

Radius of cylinder X = 4 cm

Find:

Volume of Cylinder X

Computation:

We know that, Cylinder X and Cylinder Y are similar

So,

Volume of Cylinder X / Volume of Cylinder Y = [Radius of cylinder X / Radius of cylinder Y]³

Volume of Cylinder X / 89 = [4/2]³

Volume of Cylinder X / 89 = [2]³

Volume of Cylinder X / 89 = 8

Volume of Cylinder X = 8 x 89

Volume of Cylinder X = 712 cm³

Answer:

21 ounces of juice.

63 ounces of water

Step-by-step explanation:

let :

x = ounces of strawberry juice to make the strawberry infused water.

3x = ounces of water needed to make the strawberry infused water.

3x + x = 84

4x = 84

divide both sides of the equation by 4

x = 21 ounces

3x = 3 x 21 = 63 ounces

$775 at 6% simple interest for 3 years.

Substituting the given values in the formula, We get,

[tex] \sf: \implies \dfrac{775 \times 6 \times 3}{100} [/tex]

Calculating further, We get,

[tex] \sf: \implies \dfrac{13950}{100} [/tex]

Dividing, We get,

[tex] \sf: \implies \$ 139.50[/tex]

∴ The Simple Interest is $139.50

Answer:

Solution given:

length of cube[a]=6ft

volume of cube =a³=6³=216ft³

again

For cylinder

d=4ft

r=2ft

h=6ft

volume of cylinder=πr²h=π×2²×6=75.4ft³

Now

remaining volume=216-75.4=140.6ft³

is a required answer.