Planet X is 1/2 of a light-year away from Earth. Planet Y is 3/10 of a light-year away from Earth. How much farther away is Planet X?

Answer:

<XYZ = 83

Step-by-step explanation:

we can see that the line XY is tangent to point Y

we can also the see that <XYZ intersects the line that forms arc 166

when a tangent line intersect the line that forms an arc, the angle formed by the tangent will be equal to half of the arc

so in other words angle XYZ is 0.5 of Arc 166

so <XYZ = 83

Answer:

134 adult tickets were sold adt tye school play.

Step-by-step explanation:

total tickets = adult + student tickets

total tickets= (2×adult tickets)+adult tickets

total tickets = 3× adult tickets.

402=3×adult tickets.

402÷3=adult tickets

134=adult tickets

Answer:

37

4 remander

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 5 on the left side and the dividend 189 on the right side like this:

   5 ⟌ 1 8 9

Step 2:

The divisor (5) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:

       0    

   5 ⟌ 1 8 9

Step 3:

Multiply the divisor by the result in the previous step (5 x 0 = 0) and write that answer below the dividend.

       0    

   5 ⟌ 1 8 9

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.

       0    

   5 ⟌ 1 8 9

     - 0    

       1    

Step 5:

Move down the 2nd digit of the dividend (8) like this:

       0    

   5 ⟌ 1 8 9

     - 0    

       1 8  

Step 6:

The divisor (5) goes into the bottom number (18), 3 time(s). Therefore, put 3 on top:

       0 3  

   5 ⟌ 1 8 9

     - 0    

       1 8  

Step 7:

Multiply the divisor by the result in the previous step (5 x 3 = 15) and write that answer at the bottom:

       0 3  

   5 ⟌ 1 8 9

     - 0    

       1 8  

       1 5  

Step 8:

Subtract the result in the previous step from the number written above it. (18 - 15 = 3) and write the answer at the bottom.

       0 3  

   5 ⟌ 1 8 9

     - 0    

       1 8  

     - 1 5  

         3  

Step 9:

Move down the last digit of the dividend (9) like this:

       0 3  

   5 ⟌ 1 8 9

     - 0    

       1 8  

     - 1 5  

         3 9

Step 10:

The divisor (5) goes into the bottom number (39), 7 time(s). Therefore put 7 on top:

       0 3 7

   5 ⟌ 1 8 9

     - 0    

       1 8  

     - 1 5  

         3 9

Step 11:

Multiply the divisor by the result in the previous step (5 x 7 = 35) and write the answer at the bottom:

       0 3 7

   5 ⟌ 1 8 9

     - 0    

       1 8  

     - 1 5  

         3 9

         3 5

Step 12:

Subtract the result in the previous step from the number written above it. (39 - 35 = 4) and write the answer at the bottom.

       0 3 7

   5 ⟌ 1 8 9

     - 0    

       1 8  

     - 1 5  

         3 9

     -   3 5

           4

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 189 divided by 5 calculated using Long Division is:

37

4 Remainder

Answer:

Let x be the number of hits Ricky has. Then x+277 is the number of hits Pedro has. Adding Ricky's and Pedro's hits give you 2685 hits. Therefore, x+(x+227)=2685 2x+227=2685 2x=2408 x=1204 x+277 1481 Therefore, Ricky has 1204 hits and Pedro has 1481 hits.

Step-by-step explanation:

ways and answer in paper

Answer:

7.28

Step-by-step explanation.

4 is rounded down to 80 and if you just take away the 0 in 80 its 8.

Answer:

it already is

Step-by-step explanation:

.2 is the tenth .28 is the hundredth and .284 id the thousandth. there arent any more decimals after that thousandth so you cant round up or down

Answer:

(w² - 4w - 3) (w² + 4w - 3)

Step-by-step explanation:

w² + 4w³ - 3w² -4w³ - 16w² + 12w-3w² - 12w + 9

Answer:

See below

Step-by-step explanation:

1. Translation = (3 - 2, - 4 + 3) = (1, - 1)

2. Reflection over x axis = (3, 4)

3. Reflection over y axis = (-3, - 4)

4. Rotation 90° clockwise = (4, 3)

5. Rotation 180° counter clockwise = (-3, 4)

6. Dialation of 3 = (3*3, - 4*3) = (9, - 12)

Answer:

The answer is: x-4y=8

Step-by-step explanation:

V101.08 is your questions answer

Answer:

10

Step-by-step explanation:

Firstly, check for square roots above and below rt(101) that you know.

Below: rt(100) = 10

Above: rt(121) = 11

As rt(100) is the closest to rt(101), your answer will be 10.

Hope this helps! :D

Answer:

A (48)

Step-by-step explanation:

let the father's age = x and his son's age = y

according to the question,

the sum of their ages is 74

×+y=74......equation 1

four years ago (i.e x-4 & y-4) father's age was twice as old as his son

x-4=2(y-4)

or, x-4=2y-8

x-2y=-4.......equation 2

now, in equation 1

x+y=74

hence,

x=74-y

substituting the values in equation 2

x-2y=-4

(74-y)-2y=-4

74-y-2y=-4

74-3y=-4

74+4=3y

3y=78

y=78/3

y=26

Hence the kid is 26 years old

x+y=74

x+26=74

x=74-26

x=48

Hence the dad is 48 years old

Answer:

The correct answer is: Option A: 48

Step-by-step explanation:

Let x be the present age of father and y be the present age of son

Given that

"The sum of the ages of a father and his son is 74"

[tex]x+y = 74\ \ \ Eqn\ 1[/tex]

Now

x-4 will be the age of father 4 years ago

y-4 will be the age of son 4 years ago

The equation will be:

[tex]x-4 = 2(y-4)\\x-4 = 2y-8\\x-2y-4 =-8\\x-2y = -8+4\\x-2y = -4\ \ \ Eqn\ 2[/tex]

From equation 1:

[tex]x = 74-y[/tex]

Putting in equation 2

[tex]74-y-2y = -4\\74-3y = -4\\-3y = -4-74\\-3y = -78\\\frac{-3y}{-3} = \frac{-78}{-3}\\y = 26[/tex]

Put y = 26 in equation 1

[tex]x+26 = 74\\x = 74-26\\x = 48[/tex]

The father is 48 years old now.

Hence,

The correct answer is: Option A: 48

Answer:

19.5

Step-by-step explanation:

60 - 40.5 = 19.5.

12+0.2x=−25−0.7x

Stay Safe!!

Answer:

(23, 9,200) (26, 10,400)

those are the only 2

Answer:

Binomial

Step-by-step explanation:

This is because it has two terms

Answer:

180 square centimeters

Step-by-step explanation:

Because the five squares are congruent, the 12 sides of the figure are all equal in length. Then the length of one side is 72/12 = 6 cm. Therefore, the area of each square is 36 sq cm and the area of the figure, 5 x 36, is 180 sq cm.

Answer:

She needs to fill [tex]11\frac{1}{4}[/tex] ft³ in order to fill the sandbox completely.

Step-by-step explanation:

length = [tex]l[/tex]= [tex]4\frac{1}{2}=\frac{9}{2}=4.5[/tex]  feet

width = [tex]w=[/tex] 5 feet

depth = [tex]h=\frac{1}{2}=0.5[/tex] feet

Sandbox is just like a rectangular prism. In order to fill the sandbox completely, we need to determine the volume.

Thus, the formula to find the volume of a rectangular prism can be computed using the formula

[tex]V\:=\:l\:\times \:w\:\times \:h[/tex]

[tex]V=4\frac{1}{2}\times 5\times \frac{1}{2}[/tex]

    [tex]=\frac{9}{2}\times \:\:5\times \:\frac{1}{2}[/tex]

     [tex]=\frac{45}{2\times \:2}[/tex]

     [tex]=11\frac{1}{4}[/tex] ft³

Thus, she needs to fill [tex]11\frac{1}{4}[/tex] ft³ in order to fill the sandbox completely.

Step-by-step explanation:

81 - 1.2x < 55

81 < 55 + 1.2x (add 1.2x to both sides)

1.2x > 26 (subtract 55 from both sides)

x > 21 2/3.

Answer:

4.4

Step-by-step explanation:

10/4=11/x

2.5=11/x

x= 2.5*11 =4.4

Answer:

2d-5=Q ?

Step-by-step explanation:

Am I supposed to be representing quarters too? I think this should solve it though. Lmk if somethings wrong :)

Answer:

10

Step-by-step explanation:

Answer:

a = c/d

Step-by-step explanation:

ad = b-bc

ad = c

a = c/d

Answer:

Is there any other Answers?

cuz I got y=4

your proving is in photo

Answer:

3/15 of a minute

Step-by-step explanation:

Answer:

[tex](3,7)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point J (15, -13)

Point K (-9, 27)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint.

Answer:

A'(-2,0) B'(-3,5) C'(0,4)

Step-by-step explanation:

all u have to do is count each original point 3 units left and 4 units up like what the rule for the translation says.

Answer:

A. (-2,0)

B. (-3,5)

C. (0,4)

Answer:

The statment would be written as "12 - x".

Answer:

8

Step-by-step explanation:

This man is cutting 6.5 ft of wood into pieces that are .75 ft long.

Divide 6.5/.75 and there's ur answer chief