Use the figure to the right to find the value of PT. T is the midpoint of PQ.
PT = 5x +2 and TQ = 7x-6
PT=
(Simplify your answer.)

Answer: 50.5

Step-by-step explanation:

CONCEPT TO KNOW

The mean of any numbers= The sum of all numbers/ The total amount of numbers.

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

The sum of all numbers: 50+51=101

The total amount of numbers: 50 and 51=2 numbers

The sum of all numbers/ The total amount of numbers

=101/ 2

=50.5

Hope this helps!! :)

Please let me know if you have any question

Answer:

[tex]A=2\text{ units}^2[/tex]

Step-by-step explanation:

The area for a triangle is given by:

[tex]A=\frac{1}{2}bh[/tex]

Where b is the base length and h is the height.

The base is 2 and height is also 2. Therefore:

[tex]A=\frac{1}{2}(2)(2)[/tex]

Simplify:

[tex]A=\frac{1}{2}(4)[/tex]

Multiply:

[tex]A=2\text{ units}^2[/tex]

A vertical compression implies a reduction in the y-values of the absolute value function. Therefore, the term that we use to accomplish the reduction cannot be attached to the x in the equation. If so, we would end up with a horizontal stretch, not a vertical compression.

Compression implies a reduction, or dividing, so our term will be 1/5. This should be placed outside of the absolute value bars so that the compression affects only the y-values.

Correct answer: B. g(x) = 1/5|x|

Hope this helps! :)

Answer:

1 13/30

Step-by-step explanation:

First you want to make the denominators the same.  You do this by multiplying them.  However, whatever you do you to the denominator, you must also do to the numerator:

[tex]\frac{8x6}{5x6}[/tex]-[tex]\frac{1x5}{6x5}[/tex]=[tex]\frac{48}{30}[/tex]-[tex]\frac{5}{30}[/tex]=[tex]\frac{43}{30}[/tex]

Now reduce to simplest terms:

[tex]\frac{43}{30}[/tex]=1[tex]\frac{13}{30}[/tex]

Answer:

x^2 +6x +10xi -16 +30i

Step-by-step explanation:

(x + (3+5i))^2

Rewriting as

(x + (3+5i))  (x + (3+5i))

Let 3+5i = m

(x + m)  (x + m)

FOILing

x^2 + xm+xm+m^2

x^2 +2xm + m^2

Replacing m with 3+5i

x^2 +2x (3+5i) +(3+5i)^2

Distribute

x^2 +6x +10xi +(3+5i)^2

Now FOIL (3+5i)^2

( 3+5i) ( 3+5i)

 3*3+ 3*5i + 3*5i+ 25i^2

= 9 +15i+15i +25(-1)

9+30i -25

-16 +30 i

Replacing that in the equation

x^2 +6x +10xi -16 +30i

Answer:

x² + 6x + 10xi -16 + 30i

Step-by-step explanation:

(x + (3 + 5i) )²

use the binomial theorem:

(a + b)² = a² + 2ab + b² to expand (x + (3 + 5i) )²

substitute the values,

x² + (6 + 10i)x + (-16 + 30i)

therefore

x² + 6x + 10xi -16 + 30i

Answer:

1 month of game play will cost $12

Step-by-step explanation:

Here in this question, we are interested in calculating the cost of one month of game play.

From the question, we know the following;

Angie bought 1 software package and 4 months of game play

while

Kenny bought 1 software package and 1 month of game play.

The total packages and months bought will be;

2 packages and 5 months of game play

From the question, we are told that 1 month of game play is $35, so 2 months of game play will be 2 * $35 = $70

So the amount remaining for the 5 months will be; $130 - $70 = $60

So if 5 months cost $60, it means one month will be $60/5 = $12

Answer:

120 degrees. Hope this helps

<3

Step-by-step explanation:

We know the sum of all the angles in a quadilateral is equal to 360. so,

it would be: 360 - (55+65+120)

= 360 - 240

= 120 degrees

Answer:

In the state of Kansas, the density of people per square mile is 34.3

Step-by-step explanation:

According to US topographers, the state of Kansas has an area of ​​213 096 km².

If 1 km² is equal to 0.39 mi², then how much is 213 096 km².

If 1 km²   :   0.39 mi².

213,096 km²  :   83,107.44 mi²

If the state of Kansas has a population of 2.85 million people, then:

2.85 x10^6 people / 83 107.44 mi² =

34.3 people per square mile.

Answer:

Four tickets and four snacks comes to a total of $74.00

If she buys x snacks, that cost is 4.50x. so the total for 4 tickets and unknown snacks is 4(14) + 4.5x

Step-by-step explanation:

Nicole + 3 kids is 4 tickets times $14. 4×14=56. Add the snacks. 4×4.50=18. $56+$18=$74

Answer:

[8,30]

Step-by-step explanation:

Domain means X. So you look for the smallest X value in your data and the largest X value in your data.

The answer is 75% this is because 4/6 numbers are between 27 and 45

Answer: 5

Step-by-step explanation:

Answer:B

Step-by-step explanation: When solving expressions with parentheses it’s important to always solve what’s in parentheses first. And when there’s parentheses in parentheses, solve the parentheses that are in the parenthesis. Whew...I hope this helps :)

Answer:

Here an easy way to test for divisibility by 11. Take the alternating sum of the digits in the number, read from left to right. If that is divisible by 11, so is the original number. So, for instance, 2728 has alternating sum of digits 2 – 7 + 2 – 8 = -11

Step-by-step explanation:

Answer:

When you multiply two numbers or variables with the same base, you simply add the exponents. When you multiply expressions with the same exponent but different bases, you multiply the bases and use the same exponent.

Step-by-step explanation:

Answer:

  [90, 240]

Step-by-step explanation:

Here, the range can be found by considering the values of m at the extremes of the domain.

  for 1 hour, m = 30(1) +60 = 90

  for 6 hours, m = 30(6) +60 = 240

The range of m is [90, 240].

Answer:

741.63km

Step-by-step explanation:

From the above question, we know the following things:

Diameter of the Earth = 12756000m

Diameter of the new planet = 5/86 of the Diameter of the Earth

Diameter of the new planet =

5/86 × 12756000m

= 741627.90698m

The diameter of the new planet = 741627.90698m

We were asked to find the diameter of the new planet in km, hence we convert from meters to kilometers

1m = 0.001km

741627.90698m =

741627.90698 × 0.001km

= 741.62790698km

Approximately = 741.63km

Therefore, the diameter of the new planet = 741.63km

Answer:

C) 88

Step-by-step explanation:

20 out of 50 is same ratio as:

Applied to the number 220 we get:

So expected number is 88

Correct answer choice is C

Answer:

Equation:

2(a+9) = a/2

Solve:

The umber is:

-12

Step-by-step explanation:

Equation:

2(a+9) = a/2

Solve:

2*a + 2*9 = a/2

2a + 18 = a/2

2a - a/2 = -18

4a/2 - a/2 = -18

3a/2 = -18

a = -18*2/3

a = -12

Check:

2(-12+9) = -12/2

2(-3) = -12/2 = -6

The Equation for the phrase is 2(x + 9) = x/2.

A mathematical statement with two algebraic expressions on either side of an "equal to (=)" sign is called an equation. It demonstrates the equality of the relationship between the expression written on the left and right sides. If there is no "equal to" symbol in the statement of any mathematical equation, it is not one. It will be taken into account as a phrase.

Given a phrase two times the sum of a number and 9 is half the number,

the first part of the phrase says two times the number and 9,

let the number be x, the equation will be

2(x + 9)

the second part of the phrase is half the number

x/2

final equation is

2(x + 9) = x/2

Therefore, the equation is 2(x + 9) = x/2.

Learn more about equation;

https://brainly.com/question/29657983

#SPJ2

Answer:

the answer is correct 2 one

Answer:

A. Beef uses significantly more land than plants to produce 100 grams of protein

Step-by-step explanation:

Let's examine each answer choice.

A.  Beef uses significantly more land than plants to produce 100 grams of protein

This is true. Beef uses 163.6 square meters of land, while peas only use 3.4 square meters.

B. Meat production is more efficient than farming protein from fish and prawns

This is not true. Meat production is less efficient, because it uses more land than fish and prawns.

C. Lamb and mutton produce more protein per square meters than pig meat and poultry

This is false. Lamb produces less protein per square meter, because it takes 184.8 square meters to produce 100 grams of protein, while pig meat only takes 10.7 square meters to make the same amount.

D. Nuts and grains produce less protein per square meter than milk and cheese

This is false. Milk and cheese require more square meters per 100 grams of protein/ Therefore they produce less protein per square meter, not the nuts and grains.

So, the best answer choice is A. Beef uses significantly more land than plants to produce 100 grams of protein

Answer:

Hey there!

LCM of 12 and 5= 60

Thus, in 200 customers, 3 will get both free song and video downloads.

Let me know if this helps :)

Answer: HELLO

Step-by-step explanation:

Answer:

Point P is in between points F and G.

Now, here we do not have the actual locations of F and G, so i will answer this in a general way.

Suppose that F is located at 0 and G is located at some value A.

Then the distance FG = A - 0 = A.

Now, the distance between F and P is:

Distance  = (1/4)*FG = A/4

Then the location of P is equal to the location of F plus A/4

P = 0 + A/4

Now, writing this in a more general way:

P = F + FG/4

Answer:

[tex]t=\dfrac{p}{(s_1-s_2)}[/tex]

Step-by-step explanation:

It is given that, p = s Subscript 1 Baseline t minus 2 Subscript 2 Baseline t. It can also written as :

[tex]p=s_1t-s_2t[/tex]

We need to solve the above equation for t.

Taking t common on RHS of the equation :

[tex]p=(s_1-s_2)t[/tex]

Now dividing both sides by [tex](s_1-s_2)[/tex], so,

[tex]\dfrac{p}{(s_1-s_2)}=\dfrac{(s_1-s_2)}{(s_1-s_2)}t\\\\t=\dfrac{p}{(s_1-s_2)}[/tex]

So, the equation for t is : [tex]t=\dfrac{p}{(s_1-s_2)}[/tex]

Answer:

Option C- t= p/s1-s2

___________________

If you have the same test I had the answers will be: (I got 100% proof is in the image below.)

1. C-  t= p/s1-s2

2. B-  y-mx=b

3. D-  c= (10b-10)^2/25

4. C-  L/pr=t

5. C-  x=3 (y-2/3)

6. C-  Using the multiplication property of equality to multiply both sides of the equation by 10

7. C-  V^2-V^2/2s=a

8. D-  a=2A/p

9. B-  h=S/pie r^2

10. A-  m=s-c/c

Step-by-step explanation:

Edge 2021. Happy to Help!

Answer:   Answer is in the steps.

Step-by-step explanation:

No multiple of 7 can be a prime number because then it will   have more than two factors.7 is a prime number because it has only two factors 1 and itself.  For example, 14 is a multiple of 7 because 7 times 2 is 14. But now it  14 itself will not be a prime number because it has more than two factors which  is 1,2,7 and 14.

Answer:

yes, 7 is prime

Step-by-step explanation:

It has only2 factors: 1 and itself:)

Answer:

[tex]\huge \boxed{x=-3 \ \mathrm{and} \ y=17}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

Subtracting both equations:

    5x + y = 2

 -  (4x + y = 5)

————————

1x + 0y = -3

x = -3

Substituting x = -3 for the second equation:

4(-3) + y = 5

Solving for y.

-12 + y = 5

y = 17

[tex]\rule[225]{225}{2}[/tex]

Answer:

B = d - 3f²

         5M

Step-by-step explanation:

d -3f² = 5 B B

5 BM = d - 3f²

B = d - 3f²

         5M

Answer:

[tex]\huge \boxed{B=\frac{d - 3f^2}{5M}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex]d - 3f^2 = 5BM[/tex]

Dividing both sides by 5M.

[tex]\displaystyle \frac{d - 3f^2}{5M} =\frac{5BM}{5M}[/tex]

[tex]\displaystyle \frac{d - 3f^2}{5M} =B[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

Step-by-step explanation:

Answer:

Hope this helps!! :)

If you need to know about how exactly to graph it, you can tell me

Answer:

Upload the parallelogram or let me know if 5x-5 = 130 degrees and if it is one of the angles of the parallelogram.

Answer:

the number of common customers are 8 in number

Answer: The answer is just 3 people will get BOTH the free drink and free sandwich.

Step-by-step explanation:

Every 8th = 1 free drink

Every 28th = 1 free sandwich

200 costumers showed

Add 28 to 28 until you reach the closest to 200 so: 28,56,84,112,140,168,196

Then add 8 to 8 until 200, every number that match the 28th sequence is 1 costumer that receives 1 drink and 1 sandwich

The match numbers are 56,112,168