T is the midpoint of PQ. PT=3x+8 and TQ = 5x-8. What is PT?

Answer:

Length of route that passes the mall= 11 miles

Length of route that passes the theater= 13 miles

Step-by-step explanation:

route to school that passes the mall (highlighted in red)

= (x +1) +(x +2)

= 2x +3

route to school that passes the theater (in yellow)

= (2x +1) +x

= 3x +1

Since the first is 2 miles shorter,

2x +3= 3x +1 -2

Simplify:

2x +3= 3x -1

Bring constants to 1 side, x terms to the other:

3x -2x= 3 +1

x= 4

Substitute x=4 to find the length of each route:

Length of the route that passes the mall

= 2x +3

= 2(4) +3

= 8 +3

= 11 miles

Length of route that passes the theater

= 3x +1

= 3(4) +1

= 12 +1

= 13 miles

Alternatively, length of route that passes the theater

= 11 +2= 13 miles since it is 2 miles longer than that which passes the mall.

Answer:

k = 10

Step-by-step explanation:

∡ZYX = 180° - 115° = 65° (angles in a line add up to 180°)

*∡ stands for angle.

∑ of  ∡Z , Y and X should be equal to 180° (angles in a triangle add up to 180°)

∴ (4k + 5)° + 65° + (6k + 10)° = 180°

10k + 80 = 180

10k = 100

k = 100 ÷ 10 = 10

Answer:

x = 7

Step-by-step explanation:

160+3x=195-2x

Add 2x to each side

160+3x+2x=195-2x+2x

160 +5x = 195

Subtract 160 from each side

160+5x-160 = 195-160

5x = 35

Divide by 5

5x/5 = 35/5

x = 7

Answer:

n = -13

Step-by-step explanation:

19 + 10n = 7n - 20

Subtract 7n from each side

19 + 10n-7n = 7n-7n - 20

19+3n = -20

Subtract 19 from each side

19+3n -19 = -20-19

3n = -39

Divide each side by 3

3n/3 = -39/3

n = -13

Answer: Q1: 9.6e7

Q2: 2e-6

Step-by-step explanation: All you do is pretend the 10 insent their and and the e between the first set of numbers and the second number on the second set of numbers.     Hope this helped!!!

Given :

Temperature at first period , [tex]T_1=99^oF[/tex] .

Temperature at seventh period , [tex]T_7=102^oF[/tex] .

To Find :

The change in temperature .

Solution :

We know , change in temperature is given by the difference between final and initial temperature .

[tex]\Delta T=T_7-T_1\\\\\Delta=(102-99)^oF\\\\\Delta=3^oF[/tex]

So ,the change in temperature is [tex]3^oF[/tex] .

Now , the average body temperature of human body is [tex]98.6^oF[/tex] and [tex]100.4^oF[/tex] is considered a fever .

Therefore , we should not be in school and take rest .

Hence , this is the required solution .

Volume of small box :

[tex]v=l\times b\times h\\\\v=2\times 3\times 4\\\\v=24\ units^3[/tex]

Volume of big box :

[tex]V=L\times B\times H\\\\V=12\times 21\times 40\\\\V=10080\ units^3[/tex]

Number of small boxes that can fit into bigger box :

[tex]n=\dfrac{V}{v}\\\\n=\dfrac{10080}{24}\\\\n=420[/tex]

Therefore , 420 such boxes can fit .

Hence , this is the required solution .

Answer:

P(-5,6) Q(-1,8) R(-3,1)

Answer:

The missing value is 41.

Step-by-step explanation:

If r= 3c+5 you plug in the 12, which is c, and the equation becomes r= 3x12+5. 3x12= 36, and 36+5= 41.

Answer:

41

Step-by-step explanation:

because 1=3 so 12=41

hope that helped!

Answer:

Table 1

Step-by-step explanation:

Constant of proportionality is simply the ratio of y to x. In each of the given tables, the second column is y and the first is x.

Table 1:

4       32/5

10      16

11       88/5

Let's find the constant of proportionality for each row:

R1: (32/5) / 4 = 8/5

R2: 16/10 = 8/5

R3: (88/5) / 11 = 8/5

Thus, since this matches the requirements and all three rows have the same constant, Table 1 is the answer.

If you check the other two tables in the same way, you'll see that neither has a constant of proportionality of 8/5.

Hope this helps!

Answer:

Table 1

Step-by-step explanation:

I just did it on Khan Academy

Answer:

3 1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

y + 1 = -9(x + 9)

y + 1 = -9x - 81

y = -9x - 82

answer is A

Answer:

..2.50x + 3.75x = 15..

Step-by-step explanation:

i think

Answer:

15 hrs.

Step-by-step explanation:

204/4 = 51 miles per hrour

765/51 = 15 hrs.

Answer:

15

Step-by-step explanation:

I ad this on my hw last week got it right

Answer:

[tex]x = \frac{2}{3} [/tex]

Step-by-step explanation:

[tex]x - 5(x - 1) = x - (2x - 3) \\ x - 5x + 5 = x - 2x + 3 \\ x - 5x + 2x - x= 3 - 5 \\ - 3x = - 2[/tex]

Divide both sides of the equation by -3

[tex] \frac{ - 3x}{ - 3} = \frac{ - 2}{ - 3} \\ x = \frac{2}{3} [/tex]

Answer:

2(- 64f + 21)

Step-by-step explanation:

10(-8f+1)-8(6f-4)

-80f+10-48f+32

-80f-48f+10+32

-128f+42

hope it helps!

Answer:

Parker will have to pay $31 in a month in which he downloaded 50 songs.

Total amount Parker will pay for s songs = 6 + 0.50s

Step-by-step explanation:

Cost per month = $6

Cost of Offline download = $0.50 per song

A. How much total money would

Parker have to pay in a month in which he downloaded 50 songs?

Total amount Parker will pay = $6 + $0.50(50)

= 6 + 25

= $31

Parker will have to pay $31 in a month in which he downloaded 50 songs.

B. How much would

he have to pay if he downloaded s songs?

Total amount Parker will pay for s songs = $6 + $0.50 * s

= $6 + $0.50s

Total amount Parker will pay for s songs = 6 + 0.50s

Answer:

[tex]Rental\ Cost = 9 n + 5[/tex]

Step-by-step explanation:

Question is incomplete; See Attachment

Required

Complete the table

To complete the table, we simply substitute n for 1,2 or 3

So: The rental cost, when the hours is n is as follows;

[tex]Rental\ Cost = 9 * n + 5[/tex]

[tex]Rental\ Cost = 9 n + 5[/tex]

Answer:

[tex] \frac{7}{5} (7f - 5)[/tex]

Answer:

-9.8f - 7

Explanation:

You distribute the negative to the 9.8f to make it -9.8f, and the 7 to make it -7.

(-9.8f + (-7)) = -9.8f - 7

Answer:

If you're trying to find the whole number from a percentage of the number, divide the number by its percent: 1360/17%= 8000. The total number of mangoes is 8000.

Step-by-step explanation:

Answer:

[tex]\boxed{\bold{\huge{\boxed{\sf x = 8000 \ mangoes}}}}[/tex]

Step-by-step explanation:

Let the number be x

The given condition is:

=> 17 % of x = 1360

=> [tex]\sf \frac{17}{100} * x = 1360[/tex]

Multiplying both sides by [tex]\frac{100}{17}[/tex]

=> [tex]\sf x = \frac{136000}{17}[/tex]

=> x = 8000

So, total number of mangoes is 8000.

Answer: same-side interior angles

Step-by-step explanation:

Same side interior angles are two angles that are on the same side of the transversal and on the interior of (between) the two lines.

Answer:

Step-by-step explanation:

Change g(n) to y

y = 2n - 2

2y - 2 = n

2y = n + 2

y = (n + 2)/2

g^-1(n) = 1/2n + 1

solution is B

Answer:

multiply 45×20×15

Step-by-step explanation:

you can use calculator

Answer:

Step-by-step explanation:

d= (3-10h)/f

Answer:

Greater than

Step-by-step explanation:

First, I solved the expressions.

3(4x-1)=12x-3

2(4-x)=8-2x

12x-3>8-2x

As we can see, 12x-3 is greater than 8-2x.

Step-by-step explanation:

12x - 3 (expand 3(4x-1))

8-2x (expand 2(4-x))

if you assume that x=1 then 12x-3 would be 12(1)-3 then it would be 9 for the first

for the second equation, 8-2x, it would be 8- 2(1) or 6

9>6 so, 3(4x-1) > 2(4-x)

Answer:

Step-by-step explanation:

5

Answer:

yes

Step-by-step explanation:

Both of the figures have the same perimeter (4n + 4) hence equal in perimeter,

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

We know the perimeter of a rectangle is 2(length + width) and the perimeter of a square is 4×side.

Given, A rectangle with sides of length n+2 and n.

∴ Perimeter = 2((n + 2) + n)

= 2(2n + 2).

= 4n + 4.

Also given, A square with sides of length n + 1.

∴ Perimeter = 4(n + 1).

= 4n + 4.

So, yes the two shapes are equal in the perimeter.

learn more about rectangles here :

https://brainly.com/question/6465134

#SPJ2

Answer: 50

Step-by-step explanation: 42x12=504. 504-4=500. 500/10=50.