Thirty six pencils are packed in three boxes. How many pencils are packed in five boxes

Answer:

y = 192

Step-by-step explanation:

Given y varies directly as z and inversely as x then the equation relating them is

y = [tex]\frac{kx}{z}[/tex] ← k is the constant of variation

To find k use the condition y = 16 and z = 2 when x = 42

k = [tex]\frac{yx}{z}[/tex] = [tex]\frac{16(42)}{2}[/tex] = 336

y = [tex]\frac{336z}{x}[/tex] ← equation of variation

When x = 14 and z = 8, then

y = [tex]\frac{336(8)}{14}[/tex] = 192

5/11 or 2.2 I believe you do this bye adding all them up and put the 5 as the numortor and 11 as the bottom

Answer:

1/22

Step-by-step explanation:

The answer is D . The bottom right corner .

The diagram and statement that best represents their lengths is as follows:

The ribbon is 36 times as long as the needle.

Length is use to identify the size of an object or the distance.

The needle is 2 inches long

The piece of ribbon is 6 feet long.

Let's convert the sizes to same unit to be able to compare them . Therefore,

12 inches = 1 ft

2 inches = ?

Therefore, 2 inches = 2  / 12 = 1 / 6 ft

Therefore, the ribbon is 36 times as long as the needle.

learn more on length here: https://brainly.com/question/5870703?referrer=searchResults

Answer:

60 degrees

Step-by-step explanation:

C = 2(pi)r

The radius is 12 cm. We can find the circumference of a circle with radius 12 cm.

C = 2(pi)r = 2(3.14)(12 cm) = 75.36 cm

The length of the arc of the sector is 12.56 cm.

We can find the fraction this length is of the full circumference.

(12.56 cm)/(75.36 cm) = 1/6

The length of the arc of this sector is 1/6 the length of the circumference of the entire circle.

That means the angle of the sector is 1/6 the angle of an entire circle.

An entire circle has a central angle of 360 degrees.

1/6 * 360 degrees = 60 degrees

Answer:

x=96°

y=96°

Step-by-step explanation:

y=84° because of vertical angles. the measure of all 4 angles added together is 360°, so we add the 84° and the other 84° angle, and subtract them from 360° to get the sum of the other two angles

360°-(84°+84°)=192°

divide 192° by 2 to get the measure of one angle

therefore, x=96°

Answer:

x = 96 and y = 84

Step-by-step explanation:

Given

A Point

Angles x,y and 84 degrees

Required

Find x and y

First, we should note that angle x and 84 degrees are supplementary.

Two angles are said to be supplementary if they add up to 180 degrees

i.e. x + 84 = 180

x + 84 = 180

Make x the subject of formula

x = 180 - 84

x = 96

In the similar vein, angle x and y are supplementary.

so, x + y = 180

Substitute 96 for x

So, we have

96 + y = 180

make y the subject of formula

y = 180 - 96

y = 84

Hence, x = 96 and y = 84

Answer:

C

Step-by-step explanation:

Use the Pythagorean Theorem.

[tex]a^2+b^2=c^2 \\ \\ 100^2+b^2=125^2 \\ \\ 10000+b^2=15625 \\ \\ b^2=5625 \\ \\ b=\sqrt{5625} \\ \\ b=75[/tex]

what you do is you take one of them and multiply their speed by however many hours

in this case

[tex]14 \times 3[/tex]

[tex]18 \times 3[/tex]

then add the product giving you the distance apart

Final answer:

The Serenity and The Mystic will be 96 miles apart after traveling in opposite directions for 3 hours with speeds of 14 mph and 18 mph, respectively.

Explanation:

The question involves calculating the distance between two moving objects, specifically sailboats, traveling in opposite directions. To find out how far apart they will be after a certain time, we use the concept of relative speed.

If The Serenity travels at 14 mph and The Mystic travels at 18 mph, their speeds add up when moving away from each other. Hence, the combined speed at which they are separating is:
(14 mph + 18 mph) = 32 mph.

To find out how far they will be apart in 3 hours:
Distance = Speed × Time
Therefore, Distance = 32 mph × 3 hours = 96 miles.

So, after 3 hours, The Serenity and The Mystic will be 96 miles apart.

Answer:

There are 25 chickens and 20 rabbits

Step-by-step explanation:

Let

x-----> the number of chickens

y ----> the number of rabbits

Remember that

1 chicken has two legs

1 rabbit has four legs

so

2x+4y=130 -------> equation A

x=y+5 -----> equation B

Substitute equation B in equation A and solve for y

2(y+5)+4y=130

2y+10+4y=130

6y=120

y=20 rabbits

Find the value of x

x=y+5

x=20+5=25 chickens

Answer:

20 rabbits .    25 chickens

Step-by-step explanation:

I know where u got them from

Answer:

C

Step-by-step explanation:

Given 3A + 6|C|

Finding 3A where A=-9⇒-9×3= -27

Finding 6|C| where |C| is absolute value for |-6 |

6|C|= |6×-6|  =36

Hence 3A + 6|C| = -27 +36 =9

Answer:

Step-by-step explanation:

The interior angles of a heptagon add up to 5*180 = 900

So

x + 143 + 116 + 135 + 135 + 116 + 155 = 900     Add up the known angles

x + 800 = 900                                                   Subtract 800 from both sides

x + 800 - 800 = 900 - 800                              Combine

x = 100

Answer:

C &A

Step-by-step explanation:

Just by analyzing the problem you can match up the answers

Solve the problem in your head and the closest answer to that is the answer

Answer:

B and D are equivalent to -3.75+2(-4x+6.1)-3.25x

Step-by-step explanation:

The initial equation is -11.25x+8.45

A is equivalent to 5x+8.1

B is equivalent to 8.45-11.25x

C is equivalent to -7.25x+4.35

D is equivalent to -11.25x+8.45

Hope this helps! Please mark as brainliest!! <3

Answer:

-1

Step-by-step explanation:

0.5(5-7X) = 8 - (4X+6)

Expand the L.H.S by multiplying it by 0.5 and expand the bracket on the R.H.S by multiplying with -1

2.5 - 3.5X = 8 - 4X -6

Collect like terms

-3.5X + 4X = 8 - 6 - 2.5

0.5X = -0.5

Divide both sides by 0.5

X = -1

9 × 9 would be the answer or just 9. Since 9 × 9 = 81. So, I believe you could put 9 if there is only one x spot but if there is 2 you can put 9 × 9. Hope this helps! c:

Answer:

12.7 feet

Step-by-step explanation:

no <3

ANSWER

When x=1, [tex]y =2{x}^{2} [/tex] is 2

and [tex]y = {2}^{x} [/tex] is 2

When x=2, [tex]y =2{x}^{2} [/tex] is 8

and [tex]y = {2}^{x} [/tex] is 4

EXPLANATION

The given functions are:

[tex]y =2{x}^{2} [/tex]

and

[tex]y = {2}^{x} [/tex]

We want to find the functional values for the given x-values.

When x=1,

[tex]y = 2( {1})^{2} = 2[/tex]

and

[tex]y = {2}^{1} = 2[/tex]

When x=2,

The first function gives us:

[tex]y = 2 {(2)}^{2} = 8[/tex]

and the second function gives

[tex]y = {2}^{2} = 4[/tex]

Answer:

For the function [tex]y=2x^2[/tex]:

[tex]y=0\\y=2\\y=8[/tex]

For the second function [tex]y=2^x[/tex]:

 [tex]y=1\\y=2\\y=4[/tex]

Step-by-step explanation:

You only need to make the following substitution:

For the first function [tex]y=2x^2[/tex]:

When [tex]x=0[/tex]

[tex]y=2x^2\\ y=2(0)^2\\ y=0[/tex]

When [tex]x=1[/tex]

[tex]y=2(1)^2\\ y=2(1)^2\\ y=2[/tex]

When [tex]x=2[/tex]

[tex]y=2x^2\\ y=2(2)^2\\ y=2*4\\ y=8[/tex]

For the second function [tex]y=2^x[/tex]:

When [tex]x=0[/tex]

[tex]y=2^x\\ y=2^0\\ y=1[/tex]

When [tex]x=1[/tex]

[tex]y=2^x\\ y=2^1\\ y=2[/tex]

When [tex]x=2[/tex]

[tex]y=2^x\\y=2^2\\ y=2^2\\ y=4[/tex]

Answer:

266.24

Step-by-step explanation:

y=320-3.84d

d represents number of days

320-3.84(14)

=320-53.76

=266.24

Answer:

266.24 ounces

Step-by-step explanation:

2 weeks = 7 x 2 = 14 days

Initial Amount = 320 ounce

Rate = 3.84 ounces/day

Amount of water left

= 320 - 3.84(14)

= 266.24 ounces

I think it's 27 but I may be wrong.

yeah 27 because you do the butterfly method. you multiply 63 and 12 you get 756 then you divide 756 by 28 and you get 27

Answer:

x = 27

Step-by-step explanation:

let the donominatir be x

28/63 = 12/x

28x = 756

x = 756/28

x = 27

-TheUnknownScientist

hope it helps you!!!!!!!!!!

Answer:

5y=5

Step-by-step explanation:

Given equations

2x + y = 3      (i)

x - 2y = -1    (ii)

Multiplying equation (ii) by -2

Both sides of equation will be multiplies by -2.

-2(x-2y)= -2(-1)

The new equation will be

-2x+4y=2  => (iii)

Adding equation (iii)  with equation (i), adding respective sides of both equations

(2x+y)+(-2x+4y)=3+2

2x+y-2x+4y=5

5y=5

So, after multiplying equation (ii) by -2 and then adding it to the first equation will give 5y=5

Answer:

[tex]5y=5[/tex]

Step-by-step explanation:

[tex]2x + y = 3[/tex]

[tex]x - 2y = -1[/tex]

If equation two is multiplied by -2, then the equation becomes

[tex]x - 2y = -1[/tex] times -2 becomes

[tex]-2x + 4y = +2[/tex]

Now we add both equations

[tex]2x + y = 3[/tex]

[tex]-2x + 4y = +2[/tex]

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

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

[tex]5y=5[/tex]

Answer:

400° F = 204.4° C

Step-by-step explanation:

We are given a temperature 400 degree in Fahrenheit and we are to convert in into a unit called Centigrade (also known as Celsius).

We know that 0 degree Centigrade is equal to 32 Fahrenheit so we will use the following formula to convert these units:

(32°F − 32) × 5/9 = 0°C

(400°F − 32) × 5/9 = 204.4° C

Final answer:

To convert 400 degrees Fahrenheit to Celsius, you can use the formula: C = (F - 32) * 5/9. So, 400 degrees Fahrenheit is approximately equal to 204.4 degrees Celsius.

Explanation:

To convert a temperature from Fahrenheit to Celsius, you can use the formula: C = (F - 32) * 5/9. To convert 400 degrees Fahrenheit to Celsius, you can substitute the value of F as 400 in the formula: C = (400 - 32) * 5/9 = 204.4. So, 400 degrees Fahrenheit is approximately equal to 204.4 degrees Celsius.

Answer:

A: 105 degree turn

Step-by-step explanation: If you were going east the it would be 75 except for the fact that since you are going west it would be supplementary

Answer

A = C2 / (4 π) for the first question.  C = 2*π*square root of (A/π). for the second question.

Step-by-step explanation:

The area of a circle is given by the formula A = π r2, where A is the area and r is the radius. The circumference of a circle is C = 2 π r.

If we "solve for r" in the second equation, we have r = C / (2 π ). Now we use this to replace r in the first equation: A = π [ C / (2 π ) ]2.

When we simplify this, we get A = C2 / (4 π).

Now you can put your value of C into this equation and find A.

To find the area of a circle from its circumference, first find the radius using the circumference and then compute area. To find the circumference from the area, derive the radius from the area and then calculate the circumference.

To find the area of a circle using its circumference, you first need to find the radius of the circle. The formula to find the radius from the circumference is r = C/(2π), where C is the circumference of the circle, r is the radius, and π is Pi, approximately 3.14159265. After finding the radius, use the formula for the area of a circle, A = πr², where A is the area.

Circumference of a circle can also be determined from its area. The radius can be found using the formula, r = sqrt(A/π), where A is the area of the circle. Once the radius is known, you can find the circumference by the formula, C = 2πr.

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#SPJ12

So, input into distance formula to get ....

√(22-(-18))²+(0-9)²

√1600+81

√1681 is about 41.

Answer:

41 units

Step-by-step explanation:

Distance equation: Distance = √((x₁ - x₂)² + (y₁ - y₂)²), where (x₁, y₁) is one coordinate, and (x₂,y₂) is the other.

Plug in: √((-18 - 22)² + (9 - 0)²)

Add: √((-40)² + (9)²)

Exponents: √(1600 + 81)

Add: √1681

Square roots: ± 41

Domain: 41 units (negatives are not allowed)

Answer:

-11

Step-by-step explanation:

64\-6= -10.667 Hope this helps

Answer:

It's A, Apex confirmed

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

Answer:

[tex]\frac{7}{10}[/tex] is [tex]\frac{1}{8}[/tex] of [tex]5\frac{3}{5}[/tex]

Step-by-step explanation:

step 1

we know that

To find what part of [tex]5\frac{3}{5}[/tex] is [tex]\frac{7}{10}[/tex], divide [tex]\frac{7}{10}[/tex] by [tex]5\frac{3}{5}[/tex]

but

First convert mixed number to an improper fraction

[tex]5\frac{3}{5}=\frac{5*5+3}{5}=\frac{28}{5}[/tex]

so

substitute

[tex]\frac{(7/10)}{(28/5)}=\frac{7}{56}=\frac{1}{8}[/tex]

therefore

[tex]\frac{7}{10}[/tex] is [tex]\frac{1}{8}[/tex] of [tex]5\frac{3}{5}[/tex]

See the attached image. The tree should consist of paths (left-to-right) that exhaust all the possible arrangements. 3 choices for the first bag (R, G, or B), 2 choices for the second (color availability depends on the first bag), and 1 for the third (again dependent on previous color), so there are [tex]3\cdot2\cdot1=3!=6[/tex] possible arrangements/permutations.

Answer: It's option 4

Step-by-step explanation: Let me fill you in on a trick I learned and why this is right so... every time you see a tree diagram like this you have to make sure that each letter across from each other match EX.  P Q

                                                                                                            Q P

See how p and p match across from each other that means it's correct here's why because each time you have a tree diagram you have EX. Q P but now you have to find another way you can make it and another way is to flip it when EX. Q P now if you flip it...

                                 P Q

Now if you do this the letters end up matching every time which is how you know it's correct.

I know this looks long but its actually an easy trick to understand I hope you get what I'm saying hope this helps have a good day !

Answer:

The interest is equal to [tex]\$13[/tex]

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

[tex]t=3\ years\\ P=\$80\\ r=0.05\\n=1[/tex]  

substitute in the formula above  

[tex]A=\$80(1+\frac{0.05}{1})^{3}=\$92.61[/tex]  

Find the interest

[tex]I=A-P=\$92.61-\$80=\$12.61[/tex]

Round to the nearest whole dollar

[tex]\$12.61=\$13[/tex]

Hello there!

The slope is -1/5.

To find the slope, subtract the y values over the x values.

- 5 - - 4 / 3 - - 2 - Since subtracting a negative is the same as adding a positive, you can rewrite the equation like this: - 5 + 4 / 3 + 2.

You are left with -1/5, this cannot be simplified so this is your final answer. I hope this helps and have a great day! :)

For this case we have that by definition, the slope of a line is given by:[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}[/tex]

Only two points are needed through which the line passes.

Where:

[tex](x_ {1}, y_ {1}): (- 2, -4)\\(x_ {2}, y_ {2}) :( 3, -5)[/tex]

Substituting:

[tex]m = \frac {-5 - (- 4)} {3 - (- 2)}\\m = \frac {-5 + 4} {3 + 2}\\m = \frac {-1} {5}\\m = - \frac {1} {5}[/tex]

Answer:

[tex]m=-\frac{1}{5}[/tex]

Answer:

176.4

Step-by-step explanation:

1.) 7/5 = surface area/90 = (7/5)^2 = 49/25

2.) sa/90 = 49/25

3.) 4,410/25a

Surface area is 176.4

Answer:

176.4

Step-by-step explanation:

Answer:

[tex]-6x^{2}-78x-252[/tex]  or  [tex]-(6x^{2}+78x+252)[/tex]

Step-by-step explanation:

we have

[tex]-6(x+6)(x+7)[/tex]

Applying distributive property

[tex]-6(x+6)(x+7)=-6[x^{2}+7x+6x+42]\\=-6[x^{2} +13x+42]\\=-6x^{2}-78x-252\\=-(6x^{2}+78x+252)[/tex]