3 2/3 divide 1 2/7 in simplest form

Answer:

[tex]x=1,CD=5[/tex]

Step-by-step explanation:

It's given that [tex]ABCD\cong FGHJ[/tex]. Because the side [tex]CD[/tex] corresponds with the side [tex]HJ[/tex], their lengths will be equal. Therefore, we have:

[tex]2x+3=3x+2,\\x=1[/tex]

Plugging [tex]x=1[/tex], we have:

[tex]CD=2(1)+3=5[/tex].

Answer:

w+10

Step-by-step explanation:

3w+6-2w+4=w+10

Answer:

Step-by-step explanation:

x subtracted from y means y-x

2w+4 subtracted from 3w+6= (3w+6)-(2w+4)

don't forgett to diestribute invisible -1

-(2w+4)=-1(2w+4)=-2w-4

so

3w+6-2w-4=

3w-2w+6-4=

1w+2=

w+2

Answer:

θ = 36.86°

Step-by-step explanation:

Given that,

The shadow of a 60 foot pole is a 100 feet long.

We need to find the angle of elevation from the end of the shadow to the top of the pole.

Height, h = 60 foot

Hypotenuse, H = 100 feet

Using trigonometry to find it.

[tex]\sin\theta=\dfrac{\text{Height}}{\text{Hypotenuse}}\\\\\sin\theta=\dfrac{60}{100}\\\\\theta=\sin^{-1}(\dfrac{60}{100})\\\\\theta=36.86^{\circ}[/tex]

So, the angle of elevation is 36.86 degrees.

Answer:

1.75 degrees

Step-by-step explanation:

Answer:

k = 1

Step-by-step explanation:

Given that,

[tex]f(x) = x^3 +kx + 2[/tex]

If (x+1) is a factor of (x), we need to find the value of k.

Using remainder theorem to find it.

Put (x+1) = 0

x = -1

Put x = -1 in equation below.

[tex]x^3 + kx + 2=0\\\\(-1)^3+k(-1)+2=0\\\\-1-k+2=0\\\\1-k=0\\\\k=1[/tex]

So, the value of k is 1.

Answer:

2 1/5 - 5/6 = 41/30

Step-by-step explanation:

Turn the denominator to be the same because if the denominator is not the same so you can't subtract neither can you add.

Next find the least common multiple of both denominator (5, and 6) and ask yourself what time the denominator would give you the least common multiply you got.

1/5 x 6/6 = 6/30 and 5/6 x 5/5 = 25/30

Your expression now would be 2 6/30 - 25/30

You can't subtract 6 from 25 so you have to turn the proper fraction into a improper fraction

2 6/30 = 2 x 30 + 6 = 66/30. 25/30 = 0 x 0 + 25 = 25/30.

Your new expression would be:

66/30 -  25/30

Now you can subtract 66 - 25 and you get 41

Therefore the correct answer is 41/30 you can not simplify the answer because the numerator is a odd number and the denominator is a even number.

Answer:

y=-10x+3

Step-by-step explanation:

The slope is -10

Answer

A=1,597.06

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

First, you divide the 10 and the 5, which leaves you with 2. Then you do 15-2+5 from left to right, and it equals 18.

(hope this helps...brainliest??)

Answer:

The price in 2010 was $7. every year the price went up $0.75 slope should be 0.75x

Step-by-step explanation:

Answer:

lol i had the same question

Step-by-step explanation:

Answer:

r=12

Step-by-step explanation:

r=12

circumference of arc = theta/360*2πr=3π given

Pi cancels

theta/360*2*12=3

theta*6/90=3

theta*3/45=3

3 cancels,45 to the other side

theta=45 degrees

This should do it :)

Answer:2 per hour

Step-by-step explanation:16 divided by 8 equals 2 making it 2 per hour

Answer:

A florist can create 2 bouquets of flowers per hour

Step-by-step explanation:

16/8 = 2

Given that ΔPQR and ΔSTU are similar triangles, m∠Q = 64°.

Thus:

ΔPQR and ΔSTU are similar because:

PQ/ST = PR/SU = QR/TU = 3.5

Therefore,

m∠Q = 180 - 70 - 46

m∠Q = 64°

Thus, given that ΔPQR and ΔSTU are similar triangles, m∠Q = 64°.

Learn more about similar triangles on:

https://brainly.com/question/2644832

Answer:

The other dude was wrong :( the answer is 6.39

Step-by-step explanation:

I took the test on K12

Answer:

for the volume of the sphere its answer is 4πr³/3 which when converted to diameter will be 2(4πr³/3) as r=diameter/2 so diameter =2r

Answer:

4πr³/3

Step-by-step explanation:

When converted to diameter will be 2(4πr³/3) as r=diameter/2 so diameter =2r

Answer: =−nx+3n+x−5

Step-by-step explanation:

Answer: surface area is 215.27; volume is 297.1

Step-by-step explanation:

you have to find the radius first, c = 2(pi (3.14))r, the formula for surface area is 4(pi(3.14)r^2, the formula for volume is 4/3(3.14(pi))r^3

Answer: 18

Step-by-step explanation:

6 ÷ 2 = 3

162 ÷ 54 = 3

The constant ratio is 3

6 × 3 = 18

Hope I helped!

Answer:

b

Step-by-step explanation:

it is

Answer:

B. 1 13/18

Step-by-step explanation:

1 13/18 x 36 = 62

Answer:

[tex]x >\ or\ =\ \frac{7}{9}[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\4x+8>\ or =\ 5(3-x)\\Hence,\\We\ can\ treat\ inequality\ in\ the\ same\ way\ we\ do\ for\ solving\ equalities.\\Hence,\\4x+8>\ or\ =\ 5(3-x)\\By\ simplifying\ the\ RHS,\\4x+8 >\ or\ =\ 15-5x\\Hence,\\Adding\ (+5x)\ to\ the\ LHS\ and\ RHS,\\4x+8+(5x) >\ or\ =\ 15-5x+(5x)\\Simplifying,\\5x+4x+8 >\ or\ =\ 15+(5x-5x)\\9x+8 >\ or\ =\ 15\\Adding\ (-8)\ to\ both\ LHS\ and\ RHS,\\9x+8+(-8) >\ or\ =\ 15+(-8)\\Simplifying,\\9x+(8-8) >\ or\ =\ 7\\[/tex]

[tex]9x >\ or\ =7\\x >\ or\ =\ \frac{7}{9}[/tex]

Step-by-step explanation:

4x+8≥5(3-x)

4x+8≥15-5x

adding 5x on each term

4x+5x+8≥15-5x+5x

9x+8≥15

subtract each term by 8

9x+8-8≥15-8

9x≥7

dividing each term by 9

9x/9=7/9

x≥7/9

is your answer

Answer:

26275

Step-by-step explanation:

if simple interest its just .017*25000 which is 1 year then multiply by 3 and add to 25000

Answer:

[tex]x^2+11x+24[/tex]

Step-by-step explanation:

The area of a rectangle is given by [tex]l\cdot w[/tex]. Plugging in our given values, we get:

[tex]A=(x+3)(x+8)=x^2+8x+3x+24=\fbox{$x^2+11x+24$}[/tex].

This is a polynomial in standard form [tex]\checkmark[/tex]

Answer:

x^2 + 11x + 24

Step-by-step explanation:

x times x is x^2

x times 8 is 8x

x times 3 is 3 x

8 times 3 is 24

add it all together and its x^2 + 11x + 24

Step-by-step explanation:

21x+72+105+78=360

21x=105

x=5

Answer:

hwope this helps ＼(=^‥^)/’`

Step-by-step explanation:

47m at least I think it is

Answer:

500

Step-by-step explanation:

.

Answer:

A. 500

Step-by-step explanation:

We know that it can't be B. or C. since it has to be greater than 150, so (I know this isn't the way to do it) bet is you try multiplying your leftover answers you have by .3 you would see that 200 times .3 is  60, so that isn't it but 500 times .3 is 150!

I hope this helps and you have a great day! :)

Answer:

x= 2,180

x= number of adult tickets sold

Step-by-step explanation:

First, we need to establish the system of equations:

x= number of adult tickets sold

y= number of children tickets sold

5.5x + 3.5y = 22,210

x + y = 5,100

Now, we isolate one variable in a formula and substitute its value in the other:

x= 5,100 - y

5.5*(5,100 - y) + 3.5y= 22,210

28,050 - 5.5y +3.5y = 22,210

2y= 5,840

y= 2,920

x= 5,100 - 2,920

x= 2,180

Answer:

y = 2x - 17

Step-by-step explanation:

y = mx + b

m = 2

y = 2x + b

Plug in (5, -7) for x & y.

-7 = 2(5) + b

-7 = 10 + b

Subtract 10 from both sides.

-17 = b

y = 2x - 17

Check work.

-7 = 2(5) - 17

-7 = 10 - 17

- 7 = -7

Your answer is correct.