24. Sean and Laura have the same number of action figures in their
collections. Sean has 6 complete sets plus 2 individual figures, and
Laura has 3 complete sets plus 20 individual figures. How many figures
are in a complete set?

Answer:

[tex]d = \sqrt{85}[/tex]

Step-by-step explanation:

Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in the 2 coordinates into the distance formula to find distance d:

[tex]d = \sqrt{(5-3)^2+(-1-8)^2}[/tex]

[tex]d = \sqrt{(2)^2+(-9)^2}[/tex]

[tex]d = \sqrt{4+81}[/tex]

[tex]d = \sqrt{85}[/tex]

Answer:

[tex]=5r^2-17r+5[/tex]

Step-by-step explanation:

[tex]\mathrm{Apply\:rule}:\quad \left(a\right)=a[/tex]

[tex]\left(8r^2-12r+4\right)=8r^2-12r+4[/tex]

[tex]=8r^2-12r+4-\left(3r^2+5r-1\right)[/tex]

[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:-\left(a+b\right)=-a-b[/tex]

[tex]-\left(3r^2+5r-1\right)=-3r^2-5r+1[/tex]

[tex]=8r^2-12r+4-3r^2-5r+1[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=8r^2-3r^2-12r-5r+4+1[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:4+1=5[/tex]

[tex]=8r^2-3r^2-12r-5r+5[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:8r^2-3r^2=5r^2[/tex]

[tex]=5r^2-12r-5r+5[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:-12r-5r=-17r[/tex]

[tex]=5r^2-17r+5[/tex]

Answer:

[tex]y=-5x+0[/tex]

Step-by-step explanation:

We know that slope intercept form is:

[tex]y=mx+b[/tex]

And our slope is -5, and the variable we use for slope is m:

[tex]m=-5[/tex]

Our new equation becomes:

[tex]y=-5x+???[/tex]

And our y-intercept is 0, and the letter we use to express our y-intercept is b:

[tex]b=0[/tex]

Our new equation is:

[tex]y=-5x+0[/tex]

Hence, the correct answer is [tex]y=-5x+0[/tex]

Answer:

344

Step-by-step explanation:

First we are going to find the area of the top and bottom

8x8=64. Since the top and bottom are the same, we can do 64x2=128.

Now we are going to find the area of the left and right sides.

8x7=54. Since the right and left are the same, we can do 54x2=108.

Now we are going to find the area of the front side and the back side.

8x7=54. Since the front and back are the same, we can do 54x2=108.

Now we add our answers up. 128+108+108=344

Answer:

483

Step-by-step explanation:

840 minus 357 is 483

Answer:

14

Step-by-step explanation:

let the number be y

if y is tripled we get 3y

3y = 28 + y

3y - y = 28

2y = 28

y = 14

Answer:

14

Step-by-step explanation:

Let the number be x.

Base on the given

↓ Equation ↓

3x=x+28

Solve:

3 x - x = 28

2 x = 28

x = 28/2

x = 14

Thus, The number is 14.

[RevyBreeze]

Answer:

Equation of the best fit line is given as  y = - 0.76x + 26.04  Now we need to find the decrease in time spent in doing homework for increase in one hour in time spent in watching TV.

Step-by-step explanation:

hope this helps

have an awesome day -TJ

Answer:

0.04233 ounces of medicine in a day

Step-by-step explanation:

The volume of the hexagonal prism is the amount of space in it.

From the complete question, we have:

Length (l) = 8

Height (h) = 5

The surface area of the hexagonal prism is:

[tex]A=6lh+3l^2\sqrt 3[/tex]

So, we have:

[tex]A=6*8*5+3*5^2\sqrt 3[/tex]

Evaluate

[tex]A = 369.9[/tex]

Hence, the surface area is 369.9 square feet

The volume of the hexagonal prism is:

[tex]V = \frac{3\sqrt 3}{2} * l^2h[/tex]

So, we have:

[tex]V = \frac{3\sqrt 3}{2} * 8^2 * 5[/tex]

Evaluate

[tex]V = 831.4[/tex]

Hence, the volume is 831.4 cubic feet

Read more about surface area and volume at:

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7.09 meters

Step-by-step explanation:

first start by using sin of 47 to find the hypotenus.

Then after finding the hypotenus you just have to use cos of 47 to find BC

Answer:

7.09 m

Step-by-step explanation:

Answer:

2 is not the same as 4.

[tex]2^2[/tex] is the same as 4, since 2*2 = 4.

2 is not the same as 4 but 2x2 is the same as 4

The expected number of defective bolts are obtained as 175. The correct option is (C).

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

The zero value of probability indicates that the event will not happen while its value equal to one indicate that it will happen.

The total number of bolts tested are 24.

And, the number of defective bolts are 5.

Then, the probability of defective bolts is given as,

P(defective bolts) = 5/24

Now, the expected number of bolts can be found as,

Expected number = P(defective bolts) × Total number of bolts tested

⇒ 5/24 × 850 = 175

Hence, the expected number of bolts that will be defective is given as 175.

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Answer: 70 animals

Step-by-step explanation:

Since Marshall predicted that if 100 cats entered the shelter, 80 of the cats would have already been vaccinated . This means that 80/100 = 4/5 of the animals that enter the shelter are vaccinated.

Let the animals that enter in July be y. This will be:

4/5 × y = 56

0.8y = 56

y = 56/0.8

y = 70

70 animals entered in July

Answer:

D (-1,-3)

Step-by-step explanation:

If h(x)=-3x-6, plug in for x

-3 =-3(-1)-6

-3=3-6

-3=-3

so two negatives cancel out and get you the positive three minus six, resulting in negative 3, which is also the h(x) value.

Answer:

D

Step-by-step explanation:

Plug it in

Y=3x-6

-3=-3(-1)-6

-3=-3

Answer:

B. The function f(x) = tan(x) is an odd function because f(-x) = -f(x)

Step-by-step explanation:

The function f(x) = tan(x) is odd as  [tex]f(-x) = -f(x)[/tex]  so we can conclude the statement B. The function f(x) = tan(x) is an odd function because [tex]f(-x) = -f(x)[/tex] is the true option.

The function is a relation used to determine a value f(x) for a given x using an expression in x.

An even function is when f(x) = f(-x). It is symmetric along the y-axis.

An odd function is when f(-x) = -f(x). It is symmetric along the x-axis.

We are dealing with the function f(x) = tan(x).

We calculate f(-x) = tan(-x) = -tan(x) = -f(x).

∴ The function f(x) = tan(x) is an odd function, and odd functions are symmetric about the origin.

∴ The function f(x) = tan(x) is odd as  [tex]f(-x) = -f(x)[/tex]  so we can conclude the statement B. The function f(x) = tan(x) is an odd function because [tex]f(-x) = -f(x)[/tex] is the true option.

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Answer:

C.

Step-by-step explanation:

Do 10 to the 2nd power (which is 100) the multiply it by the 8 then you get 800!

Answer:

50+25n=$125 and 3 hours

Step-by-step explanation:

Answer:

irrational

Step-by-step explanation:

Answer:

48 , 132

Step-by-step explanation:

Let smaller angle = x

Larger angle = 3x - 12

x & (3x - 12) are supplementary

So, x + 3x - 12 = 180°

          4x - 12 = 180

                  4x = 180 +12

                   4x = 192

                     x = 192/4

x = 48°

Larger angle = 3*48 - 12 = 144 - 12 = 132

Answer: The measure of the smaller angle is 48,and the larger angle is 132.

Step-by-step explanation:

Answer:$150

Step-by-step explanation:

the sport drink is only 25% less in the price compared to the tropical...

but is 2-3 times less supplies than the tropical... pretty convenient but the most you get from the tropical is $92

the most you can suck out of this total is $150

Answer:

c) 150

Step-by-step explanation:

edge 2020

Answer:

Step-by-step explanation:

Square with side (s) = 3

P = 4s        

s = 3

P = 4*3

P = 12

Square with side (s) = 6

P = 4s

s = 6

P = 4 * 6

P = 24

Answer

It is asking for the ratio of P(with side = 3)/ to P(with side = 6)

So the perimeter ratio is 1/2

The side ratio is 1/2

They are the same.

The measure of angle MBT as shown in the diagram is 28 degrees.

An angle is formed from the intersection of two or more lines. Types of angles are obtuse, acute and right angled.

From the diagram:

∠MBN = ∠MBT

17x - 6 = 5x + 18

x = 2

∠MBT = 5(2) + 18 = 28 degrees

The measure of angle MBT as shown in the diagram is 28 degrees.

Find out more on angle at: https://brainly.com/question/25770607

Answer: make the variable y

and the equation should be

10 + .20y = 25

hope this helps

Answer:

24weeks

Step-by-step explanation:

So if she spends 5$ three times a week she spends 15$ a week

She babysits once a week for 40$

That means that she saves 25$ from babystitting each week

As she already has saved 200$, she only lacks 600$ for the purchase

600$ / (25$/week) = 24 weeks

If she stops buying coffee it will instead only take her 15 weeks to buy a new laptop

Answer:

8 Hours 15 Minutes

Step-by-step explanation:

12:00 p.m - 3:45 a.m = 8 Hours 15 Minutes

Answer: ∠2, ∠6 is your answer. If that's not the answer than ∠7, ∠5 might be your answer.

hope it helps

Answer: 21

3(4) + 2(5) - 1 = 21

Answer:

20.19°

Step-by-step explanation:

Find the diagram to the question attached. We are to look for <CAB

Applying sine rule on ΔABC:

[tex]\frac{4.5}{sin15^0} = \frac{6}{sin<CAB}[/tex]

cross multiply

[tex]4.5 * sin<CAB =6 sin15^0\\\\sin<CAB = \frac{6sin15^0}{4.5}\\ \\sin<CAB = \frac{6*0.2588}{4.5}\\ \\sin<CAB = \frac{1.5529}{4.5}\\\\sin<CAB = 0.3451\\\\<CAB = sin^{-1}0.3451\\[/tex]

[tex]<CAB = 20.19^0\\[/tex]

Hence the angle <CAB is 20.19°

The angle ∠CAB is 20.19° and the distance (d) Ollie is from the entrance to his house when he first activates the sensor is 5.77 m.

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

Ollie has installed security lights on the side of his house that is activated by a sensor.

The sensor is located at point C directly above point D.

The area covered by the sensor is shown by the shaded region enclosed by triangle ABC.

The distance from A to B is 4.5 m and the distance from B to C is 6 m.

The angle ACB is 15°.

The ∠CAB is ∠A.

We know that the sine rule

[tex]\dfrac{a}{\sin A} =\dfrac{b}{\sin B} = \dfrac{c}{\sin C}[/tex]

We have

[tex]\dfrac{AB}{\sin C} \ \ = \dfrac{BC}{\sin A} = \dfrac{AC}{\sin B}\\\\\\\dfrac{4.5}{\sin 15^o} = \dfrac{6}{\sin A} = \dfrac{b}{\sin B}[/tex]

From the first two, we have

[tex]\dfrac{4.5}{\sin 15^o} = \dfrac{6}{\sin A} \\\\\sin A = \dfrac{6}{4.5} \times \sin 15^o\\\\A \ \ \ \ = 20.19^o[/tex]

We know that the sum of the angle is 180 degrees. Then we have

    ∠A + ∠B + ∠C = 180°

20.19° + ∠B + 15° = 180°

                      ∠B = 144.81°

Then the value of b will be

[tex]\dfrac{4.5}{\sin 15^o} = \dfrac{b}{\sin 144.81^o}\\\\\\b \ \ \ = 10.02[/tex]

Then the distance (d) Ollie is from the entrance to his house when he first activates the sensor will be

d = b × sin 144.81°

d = 10.02 × sin 144.81°

d = 5.77 m

More about the trigonometry link is given below.

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