One evening, 2/3 of Mrs. Thorne’s students watched a reality television show. Of Mrs. Lombardo’s students, 4/5 watched the same reality show: Which teacher has more students watch the reality show?

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Answer:

Plot (0.5, 1.5) on the graph.

Which point is a solution to the inequality? (3, 1/2)

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

3X+4X+3X=180

10X=180

X=180/10

X=18

3X=54 BOTH

4X=72

Explanation:

We can set up the ratio

12 pounds : 5 dollars

Then divide both parts of that ratio by 5 so that the "5 dollars" becomes "1 dollar"

The ratio 12 pounds : 5 dollars is equivalent to 2.4 pounds : 1 dollar

Answer:

cos = 0.89/1.9 = 0.46842105263157895-

Step-by-step explanation:

the value of cos(t) is approximately 0.347.

To find the value of cos(t), we can use the identity:

tan²(t) + 1 = sec²(t)

Since we know the value of tan(t) is approximately 2.7, we can calculate sec(t):

sec²(t) = tan²(t) + 1

sec²(t) = 2.7² + 1

sec²(t) = 7.29 + 1

sec²(t) = 8.29

Now, to find sec(t), we take the square root of both sides:

sec(t) = √(8.29)

sec(t) ≈ 2.877

Finally, we can find cos(t) using the reciprocal identity:

cos(t) = 1 / sec(t)

cos(t) ≈ 1 / 2.877

cos(t) ≈ 0.347

So, the value of cos(t) is approximately 0.347.

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Answer:

116

Step-by-step explanation:

Given shape has 6 angles and the sum of interior angles for this shape is calculated as following:

180*(6-2) = 720 now to find x we need to find the sum of given angles first:

144 + 163 + 50 + 131 + 126 x = 720

614 + x = 720 subtract 614 from both sides

x = 116

Answer:

2/6 < 7/9 < 9/10

Step-by-step explanation:

Answer:

y=-x-4

Step-by-step explanation:

Answer:

0, 1/18, and 1/36

Step-by-step explanation:

For i = 2, the probability it lands on 6 is 0, because you cannot sum to 2 with a 6. The same applies to i = 3 thru i = 6.

For the probability that at least one of a pair of fair dice lands on 6 for i = 7, there are only two possible ways, the first roll is a 6 and the second roll is a 7, and the first roll is a 1 and the second roll is a 6. The total amount of ways is 6 * 6 = 36, so the total probability is 1/18. This also applies to i = 8 thru i = 11.

For i = 12, there is only one way to get 12, the first dice lands on 6 and the second dice lands on 6. Assuming the dice are indistinguishable, the probability is 1/36.

The probability that at least one of a pair of fair dice lands on 6, given that the sum of the dice is i, where i ranges from 2 to 12, is 23/12.

We have,

The complementary probability of "at least one die lands on 6" is "neither of the dice lands on 6."

Therefore, you need to find the probability that neither of the dice lands on 6 for each possible sum i, and then subtract that probability from 1 to get the desired probability.

Let's go through the cases:

i = 2 (only possible sum with two dice):

In this case, both dice must show a 1.

The probability of this happening on a fair 6-sided die is

(1/6) * (1/6) = 1/36.

i = 3: The combinations are (1, 2) and (2, 1).

The probability of either happening is 2 * (1/6) * (1/6) = 1/18.

i = 4:

The combinations are (1, 3), (2, 2), and (3, 1).

The probability of any of these happening is 3 * (1/6) * (1/6) = 1/12.

i = 5:

The combinations are (1, 4), (2, 3), (3, 2), and (4, 1).

The probability of any of these happening is 4 * (1/6) * (1/6) = 1/9.

i = 6:

The combinations are (1, 5), (2, 4), (3, 3), (4, 2), and (5, 1).

The probability of any of these happening is 5 * (1/6) * (1/6) = 5/36.

i = 7:

The combinations are (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1).

The probability of any of these happening is 6 * (1/6) * (1/6) = 1/6.

i = 8:

The combinations are (2, 6), (3, 5), (4, 4), (5, 3), and (6, 2).

The probability of any of these happening is 5 * (1/6) * (1/6) = 5/36.

i = 9:

The combinations are (3, 6), (4, 5), and (5, 4).

The probability of any of these happening is 3 * (1/6) * (1/6) = 1/12.

i = 10:

The combinations are (4, 6) and (6, 4).

The probability of either happening is 2 * (1/6) * (1/6) = 1/18.

i = 11:

The combinations are (5, 6) and (6, 5).

The probability of either happening is 2 * (1/6) * (1/6) = 1/18.

i = 12:

The combination is (6, 6).

The probability of this happening is (1/6) * (1/6) = 1/36.

Now, sum up the probabilities for each case:

(1/36) + (1/18) + (1/12) + (1/9) + (5/36) + (1/6) + (5/36) + (1/12) + (1/18) + (1/18) + (1/36)

This simplifies to:

69/36 = 23/12

Thus,

The probability that at least one of a pair of fair dice lands on 6, given that the sum of the dice is i, where i ranges from 2 to 12, is 23/12.

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Answer:

3 5/6 = 3 10/12

2 1/3= 2 4/12

3-2=1

10/12-4/12= 6/12=1/2

so Kyle read 1 1/2 more books then Jan

Answer:

Kyle read [tex]1 \frac{1}{2}[/tex] books more than Jan

Step-by-step explanation:

[tex]3 \frac{5}{6}-2\frac{1}{3}[/tex]

They have different denominators so let's look for the [tex]LCM[/tex] to find our common denominator

Definition of LCM - LCM stands for least common multiple. The least common multiple of two numbers is the smallest number that is a multiple of both of them.

Now let's find our LCM

[tex]6:6,12,18,24,30,36,42\\\\3:3,6,9,12,15,18,21,24,27,30[/tex]

as you can see our [tex]LCM[/tex] is [tex]6[/tex]

[tex]3\frac{5}{6}-2\frac{2}{6}=1 \frac{3}{6}[/tex] this can be reduced to [tex]1 \frac{1}{2}[/tex]

Kyle read [tex]1 \frac{1}{2}[/tex] books more than Jan

Answer:

  33 m/s

Step-by-step explanation:

  120 km/h × (1 h)/(3600 s) × (1000 m)/(1 km) ≈ 33 m/s

_____

Additional comment

In general, units conversion is done by multiplying by a factor whose numerator and denominator have equal values, but different units. The units in that fraction need to be arranged to cancel the units you don't want and leave the units you do want.

Answer:

c.

Step-by-step explanation:

Step-by-step explanation:

3(x+3) - 2(x+2) =

3x + 9 - 2x - 4 =

x + 5

always remember the rules when combining signs and operations (therefore it is -4 at the end after doing the multiplications) :

++ = +

+- = -

-+ = -

-- = +

The perimeter of the regular pentagon is 10 centimeters.

Given that the area of the regular pentagon is 6.9 cm2, and a regular pentagon has an apothem with length 1.38 centimeters and an area of 6.9 centimeters squared, to determine what is the perimeter the following calculation must be performed:

Therefore, the perimeter of the regular pentagon is 10 centimeters.

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Answer:

This is a right trapezoidal prism.

To find the total surface area,

First we have to find the area of the 2 trapezoids.

Let us find now.

[tex]Area=2*\frac{1}{2} (a+b)*h[/tex]

[tex]Area=2*\frac{1}{2} (1.4+2.3)*1.9\\[/tex]

[tex]Area=3.7*1.9[/tex]

[tex]Area = 7.03m^{2}[/tex]

Now you have to find the areas of the 3 rectrangles.

Let us find now.

(4.8 × 2.1) + ( 4.8 × 2.3)+ ( 1.9 × 4.8)

10.08 m² + 11.04 m² + 9.12 m²

= 30.24 m²

Now let us find the total surface area of this solid.

7.03 m² +  30.24 m²

= 37.27 m²

Comparing the numbers, it is found that the tenths value first determines which of the numbers 6.399 or 6.400 is the larger number.

The decimal numbers are 6.399 and 6.400.

The tenths digit is the first in which there is a difference, hence, it determines which of the numbers 6.399 or 6.400 is the larger number.

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With some simplification,

cos⁻¹(x) - 5 cos⁻¹(x) - π/3 = 2π/3

becomes

-4 cos⁻¹(x) = π

or

cos⁻¹(x) = -π/4

However, the inverse cosine function has a range of 0 ≤ cos⁻¹(x) ≤ π, so there are no solutions to this equation.

Answer:

Step-by-step explanation:

A triangle has a height of 6mm and an area of 27mm2. What is the length of the base of the triangle?

----

To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2.

We use the inverse formula

base = 2A : height

2 * 27 : 6 = 9

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

check

6 * 9 : 2 = 27

the answer is good

Answer:

(7, 4)

Step-by-step explanation:

In this case, where we reflect W(7, -4) over the x-axis, the x-coordinate of the reflection is the same:  7.  But the -4 becomes +4 through this reflection.

Reflected point is (7, 4)

Answer:

38

Step-by-step explanation:

k= - 19 / - 0.5= -19*-2=38

Answer:1/5

Step-by-step explanation:

not entirle sure but yeah

Answer:

Step-by-step explanation:

Circumference of the garden is:

Number of rounds:

Radius=63m=r

Circumference

[tex]\\ \sf\longmapsto 2πr[/tex]

[tex]\\ \sf\longmapsto 2(3.14)(63)[/tex]

[tex]\\ \sf\longmapsto 6.28(63)[/tex]

[tex]\\ \sf\longmapsto 395.6m[/tex]

Rounds:-.

[tex]\\ \sf\longmapsto 1188/395\approx 3[/tex]

Answer:

3/4 or 0.75

Step-by-step explanation:

[tex] \frac{3 }{8} + \frac{3}{8} [/tex]

transform the equation

[tex] \frac{3 + 3}{8} [/tex]

calculate

[tex] \frac{6}{8} [/tex]

simplify

[tex] \frac{3}{4} [/tex]

or 0.75

Answer: Hello!

Time taken to drive 1 mile = 5 minutes. Now we have to find the amount of time t (in minutes) taken by him to right distance d so we can again use same formula. Since the answer will be equation A. t=5d.

A. t=5d

Step-by-step explanation:

Mark me brainest please. Hope I helped! Hope you make an 100%  Anna♥

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Answer:

64

Step-by-step explanation:

Answer:

<JL congruent <TV

<JU congruent <UL

<TU congruent <UV

Step-by-step explanation:

because they have the same angles and that's my opinion for me

Answer: 21x-5

Step-by-step explanation:

All you have to do is subtract like you normally would and you'll get the answer