Jorge asked each of the 24 students in his class if they play a musical instrument. He also asked each
student if they play a sport. He gathered the following results:
. 6 students play both a musical instrument and a sport
. 3 students play neither a musical instrument nor a sport.
• 14 students in total play a sport.
Can you help Jorge organize the results into a two-way frequency table?
Plays a sport
Does not play a sport
Plays a musical instrument
Does not play a musical instrument

Step-by-step explanation:

Step 1:  Subtract 2 from both sides

[tex]-5c + 2 - 2 < 27 -2[/tex]

[tex]-5x < 25[/tex]

Step 2:  Divide both sides by -5

[tex]-5x / -5 < 25 / -5[/tex]

[tex]x > -5[/tex]

Answer:  [tex]x > -5[/tex]

Answer:

c > -5

Step-by-step explanation:

-5c+2<27

-5c < 25

Switch sides

-25 < 5c

-5 < c

c > -5

Answer: 210

Explanation: To find the least common multiple for the integers 30 and 35, we start by making a factor tree for each of our integers.

So 30 is 10 · 3 and 10 is 5 · 2.

35 is 7 · 5.

Notice that our 5's match up as factors of each of our integers.

When finding the least common multiple, we simply multiply all of our factors together but since the 5's match up,

we only multiply by a 5 once.

So our least common multiple or LCM is

5 · the 2 that doesn't match up · the 3 that

doesn't match up · the 7 that doesn't match up.

So we have 5 · 2 · 3 · 7 or 210.

Work is shown below.

Answer:

96

Can I have brainliest

Step-by-step explanation:

Answer:if they are 12 inches on a feet the equation will be 12x8=is 96

so they are 96 inches on 8 feet

Answer:

y = sin(x+90)

Step-by-step explanation:

The shape of the graph shown is a y = cos x graph

Since that is not an option, we know that it must be translated somewhat

Sin x and cos x graphs are the exact same in shape, but differ by 90°

Y = sin (x+90) is the same as a Y = cos x graph, so Y = sin(x+90) is our answer

Answer:A

Step-by-step explanation:

I did it rn

Answer:

Assuming that the die has sides that are equal and that the sides are numbered 1 to 666 (since there are 666 sides), then the probability of rolling a 555 and flip a heads is 1/1,332.

Step-by-step explanation:

Probability of flipping a heads: 1/2

Probability of rolling a 555: 1/666

Multiply the two probabilities to get your probability for rolling both.

1/2 times 1/665 is 1/1,332.

Answer:

1/12

Step-by-step explanation:

Answer:

135 new employees, 585 total employees

Step-by-step explanation:

Find 30% of 450.

(you can use any variables)

a = p*w

a = .30*450

a = 135

The company will hire 135 new employees, which would be (450 + 135) 585 total employees.

hope this helps :)

135 new employees should be hired by company to increase 30% of the employees.

percentage, a relative value indicating hundredth parts of any quantity.

Given,

The number of employees in electronic company is 450.

The company plans to increase its staff by 30%

We need to find the number of employees to be hired by company.

30% of 450

Thirty percentage of four hundred fifty.

Convert 30% to decimal value by dividing with 100.

30/100=0.3

Now multiply 0.3 with 450

0.3×450

One hundred thirty five.

135

Hence, 135 new employees should be hired by company to increase 30% of the employees.

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Answer:

Mr. Jones buys 48 Pencils.

Step-by-step explanation:

6x8=48

Step-by-step explanation:

48 pencils.

If there is 6 packages of pencils, and there is 8 pencils in each, then you multiply 6 x 8 to get 48 pencils.

I hope this helped.

Answer:

Step-by-step explanation:

Given that, a series of triangle,

For the sine and cosine to be equal, then,

Sinθ = Cosθ

From, trigonometry identities

Sinθ = Cos(90-θ)

Then,

θ = 90-θ

θ + θ = 90

2θ = 90

θ = 90 / 2

θ = 45°

From the triangle given, using trigonometry ratio,

Sinθ = opposite / hypotenuse.

Sinθ = 20 / 25

Sinθ = 0.8

θ = arcsin(0.8)

θ = 53.13°

The other angles at the triangle is

90-53.13 = 36.87°.

Answer:

b

Step-by-step explanation:

Answer:

A line passing through (1, 3) and (5, 11)

Rate of change = 2

Step-by-step explanation:

Let's get the rate of change for each line:

A line passing through (-1, 4) and (1, 7).

A line passing through (1, 3) and (5, 11).

A line passing through (1, 1) and (4, -3).

A line passing through (0, 6) and (12, 9)

Comparing the values of r, we can see the greatest one is 2 for the line passing through (1, 3) and (5, 11)

Answer:

20

Step-by-step explanation:

160+160= 320

320-360=40

40/2=20

Answer:

∠URS = 20°

Step-by-step explanation:

Angle URS is supplementary to angle TUR because they are consecutive angles.

Answer:

a) Length [tex]x + 12[/tex], Width [tex]x - 3[/tex], b) [tex]x = 3[/tex]

Step-by-step explanation:

a) The expressions for the length and width of the parallelogram can be determined by factorizing the polynomial:

[tex]A = x^{2} + 9\cdot x - 36[/tex]

[tex]A = (x+12)\cdot (x-3)[/tex]

Length

[tex]x + 12[/tex]

Width

[tex]x - 3[/tex]

b) Since area is a positive variable, the set of solutions encompass all values of x such that area is zero o greater. Then, there are two interval where A is positive:

- When both binomials are negative.

[tex]x \leq 3[/tex] and [tex]x \leq -12[/tex]

[tex]x \leq -12[/tex]

- When both binomials are positive.

[tex]x \geq 3[/tex] and [tex]x \geq -12[/tex]

[tex]x \geq 3[/tex]

Since x is an integer, x must be positive and therefore the least possible value of x is:

[tex]x = 3[/tex]

Answer:

111 pounds

Step-by-step explanation:

A boy holding a stack of 9 identical books steps on a scale and weighs 138 pounds.

If the boy's weight is represented as B and the books are represented as b, this implies that:

B + 9b = 138

The boy then holding a stack of 3 of the same books again steps on the scale and weighs 120 pounds. This implies that:

B + 3b = 120

This has yielded two simultaneous equations:

B + 9b = 138

B + 3b = 120

We can solve by subtracting the second from the first.

B + 9b = 138

- (B + 3b = 120)

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

=> 6b = 18

b = 18 / 6 = 3 pounds

This means that each book weighs 3 pounds.

Putting b back in the second equation:

B + (3 * 3) = 120

B + 9 = 120

B = 120 - 9

B = 111 pounds

Therefore, the boy weighs 111 pounds.

Answer:

The boy would weigh 111 lbs.

Explanation:

Its complicated

The volume of the can is 328, 268. 16 mm³.

Volume is a mathematical term used to describe how much three-dimensional space an item or closed surface occupies.

The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.

We have,

Radius = 66/ 2= 33 mm

Height= 96 mm

So, volume of Can

= πr²h

= 3.14 x 33² x 96

= 3.14 x 1,089 x 96

= 328, 268. 16 mm³

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Answer:

1. 1 over 11 to the power of 12

Step-by-step explanation:

[tex] \huge \frac{ {(11)}^{ - 4} }{ {(11)}^{8} } \\ \\ \huge = \frac{ 1}{ {(11)}^{8 + 4} } \\ \\\huge = \frac{ 1}{ {(11)}^{12} } [/tex]

Answer:

[tex]\large \boxed{\text{1. B. $T_{{<6, -2>}}(QRST)$; 2. D. A$'$ (3,9), B$'$(4,0), C$'$(5,5)}}[/tex]

Step-by-step explanation:

1. Translation of Quadrilateral

A translation rule tells you how much to add to the values of x and y.

In your translation, the value of x increases from -5 to +1 — a distance of 6 units.

The value of y decreases from +4 to +2 — a distance of 2 units.

[tex]\text{The translation rule is $\large \boxed{\mathbf{T_\mathbf{{<6, -2>}}(QRST)}}$}[/tex]

2. Translation of triangle

The rule tells you to translate the triangle two units to the left and three units up, as in the second figure below.

A(5,6)  ⟶ A'(3,9)

B(6,-3) ⟶ B'(4,0)

C(7,2)  ⟶ C'(5,5)

The coordinates of the vertices of ∆A'B'C' are A'(3,9), B'(4,0), C'(5,5).

They're same side interior angles because since it's a parallelogram, the lines are parallel, and in this case, AB and CD are the parallel lines, AD is the transversal, and therefore, x and 115 are same side interior.

Same side interior angles are supplementary so x + 115 = 180

x = 180 - 115 = 65

Answer:

28.12 cm^2

Step-by-step explanation:

I don't know what "length" and "bottom" mean as dimensions in a parallelogram, but if they are a side length and an altitude drawn to that side, then the area is 7.6 cm * 3.7 cm = 28.12 cm^2.

Answer:

Step-by-step explanation:

NOTE:__________________________________________

applying a sales tax of 8% on an item means multiplying its original price by (1+8%).__________________________________________

The needed amount of money:

  29.99×(1+8%)+16.99×(1+8%)

= 29.99×(1+(8÷100))+16.99×(1+(8÷100))

= 50.7384

:)

Answer:

1024

Step-by-step explanation:

calculators are good resources when its math

Answer:

  1229 km

Step-by-step explanation:

The missing angle is ...

  180° -60° -75° = 45°

Knowing that, the Law of Sines can be used to find the side opposite the 75° angle.

  ?/sin(75°) = 900 km/sin(45°)

  ? = (900 km)sin(75°)/sin(45°) ≈ 1229.423 km

The UFO is about 1229 km from KA-12.

Answer:

31.2

Step-by-step explanation:

To work out 60% of 52 you would first need to find 10%. You can do this by dividing 52 by 10, this gives you 5.2.

The final step is to multiply 5.2 by 6, this gives 31.2. This is because in order work out 60% you multiply 10% by 6.

1) Divide 52 by 10.

[tex]52/10=5.2[/tex]

2) Multiply 5.2 by 6.

[tex]5.2*6=31.2[/tex]

Answer:

The answer is B.

Step-by-step explanation:

Pentagons have a sum of 540°

540 - (115 + 115 + 90 + 90)

540 - 410

130

Answer:

B)130

Step-by-step explanation:

115+115+90+90=410

pentagon angles add up to 540

410+130=540 degrees

Answer:

 12x^2 +2x

Step-by-step explanation:

x* (12x+2)

Distribute

12x*x +2*x

 12x^2 +2x

Answer:

The length of the fence is 38 yards

These are the expressions

1. Perimeter = 2l+ 2w

2. Perimeter = 2(l+w)

Step-by-step explanation:

This problem bothers on the mensuration of flat shapes, a rectangle.

The length of the fence is the perimeter of the garden which is the expression that Chole could use

1. Perimeter = 2l+ 2w

2. Perimeter = 2(l+w)

Given data

Length = 11 yards

Width = 8 yards

Perimeter = 2(11)+ 2(8)

Perimeter = 22+16

Perimeter = 38 yards

Answer:

r / n

62.2%

33.3%

Step-by-step explanation:

The formula to be used is to divide the number of times that it came out by the total number of times the event was repeated because this was the experiment that was carried out, therefore this would be the experimental formula:

r / n

r = specific event (that the 10 dollar bill comes out)

n = total events

To calculate, we know the previous values r = 28 and n = 45, we replace:

28/45 = 0.622

that is, 62.2% is the experimental probability.

To calculate the theoretical propagation, we know that there are 3 types of banknotes and we want 1 of those 3 types to appear, therefore:

1/3 = 0.333

Ie 33.3% is the theoretical probability

Answer:

The two sides of the triangle that are by the right angle are called the legs

Step-by-step explanation:

Answer:

Step-by-step explanation:

The two sides of the triangle that are by the right angle are called the legs... and the side opposite of the right angle is called the hypotenuse

Answer:X. The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try!

Answer: e = 10

Step-by-step explanation: 9e + 4 = -5e + 14 + 13 e

Now lets bring the variables and numbers on a different side

Remember that when the numbers go to the other side the sign changes

so 4 - 14 = -9e + 13e -5e

-10 = -e

10 = e

if plug in both equations on a graph then you will see that when e = 10 the lines meet at 94.

Answer:

[tex]e=10[/tex]

Step-by-step explanation:

[tex]9e+4=-5e+14+13e[/tex]

Simplify both sides by combining [tex]-5e+13e[/tex] :

[tex]9e+4=8e+14[/tex]

Isolate the variable e. Subtract  8e from both sides:

[tex]9e-8e+4=8e-8e+14\\\\e+4=14[/tex]

Subtract 4 from both sides:

[tex]e+4-4=14-4\\\\e=10[/tex]

:Done

Answer:

Yes, letter D is correct.

Step-by-step explanation:

The shape is a trapezoid so you'll have two congruent pairs of base angles.

Answer:

Kelly: 48

Michael: 8

Lucy: 35