Given quad overline{PQ}\perp\overline PQ ⊥ PS start overline, P, Q, end overline, \perp, start overline, P, S, end overline \qquad m \angle QPR = 7x - 9^\circm∠QPR=7x−9 ∘ m, angle, Q, P, R, equals, 7, x, minus, 9, degrees \qquad m \angle RPS = 4x + 22^\circm∠RPS=4x+22 ∘ m, angle, R, P, S, equals, 4, x, plus, 22, degrees Find m\angle QPRm∠QPRm, angle, Q, P, R: Solve for PQR and x. PLZ HELP

Answer:

To justify a solution, students will need to be able to use appropriate mathematical language to give reasons for the particular approach used to solve a problem. Any time that a student produces a 'solution' in an attempt to solve a problem, that 'solution' needs to be justified.

Step-by-step explanation:

Answer:

-2y(y + 4)

Step-by-step explanation:

-10y^2 - 3y - (5y - 8y^2)

= -10y^2 - 3y - 5y + 8y^2

= -2y^2 - 8y

= -2y(y + 4)

Answer: 4) 60 gallons    5) 25 gallons    6) 35 gallons

Step-by-step explanation:

If three-fourths of the water in the tank leaked out of the full aquarium tank then one-fourths will be left.

so if the leftover was 15 gallons then 1/4 of a number has to equal 15 gallons.

We could represent that by the equation.

1/4 * x = 15

0.25x = 15

x=  60    

4) which means the aquarium tank can hold 60 gallons of water when it is full.

5) If 15 gallons of water was left after the leaking and then they added 10 more gallons of water then 15 + 10 = 25   which means the aquarium was 25 gallon full.

6) If they are 25 gallons in the water now and we need to add some amount of water to get to 60 gallons of water then we will subtract  25 from 60 find how much water needs to be added.

So  60 -25 = 35   which means 35  gallons needs to be added.  

Work Shown:

r = 3 is the radius

h = 3 is the height

LA = lateral area of the cone

LA = pi*r*sqrt(r^2 + h^2)

LA = pi*3*sqrt(3^2+3^2)

LA = pi*3*sqrt(18)

LA = pi*3*3*sqrt(2)

LA = 9*sqrt(2)*pi .... exact area in terms of pi

LA = 39.9859464434252 ... approximate area

LA = 40.0 ......... rounding to nearest tenth

I used my calculator's stored version of pi to get the approximate answer.

Note how the slant height L = sqrt(r^2+h^2) which can be shown through the pythagorean theorem.

Answer:

Rockefeller HS = 31%

Clayton West = 51%

Clayton South = 18%

Step-by-step explanation:

Given the following:

Championship wins shared by 3 basketball teams :

Rockefeller HS = 12

Clayton West = 20

Clayton South = 7

Percentage of total wins each team has :

Total number of wins = (12 + 20 + 7) = 39 wins

Percentage wins :

[(Number of wins per team) / total number of wins)] × 100

Rockefeller HS:

(12 / 39) * 100 = 30.769% = 31%

Clayton West :

(20/39) * 100 = 51.28% = 51%

Clayton South:

(7/39) * 100 = 17.948% = 18%

Answer:

-2 < x - 1 < 0

Step-by-step explanation:

2. -2 < x - 1 < 0

Answer:

$180

Step-by-step explanation:

what is 45 20% of? This is what we need to find! To do this we have to take 45 and divide it by .2 which will give us 225. To check that this is the answer we take 45 and divide it by 225. This brings us back to 20%. He wouldve paid $225 for the desk, but there was a $45 discount, and after subtracting the discount we are left with $180

Answer:

Below

Step-by-step explanation:

● 7/25

Let' write this fraction as a decimal then convert it to a percentage

● 7/25 = 0.28

To get a percentage multiply it by 10

● 0.28 × 100

● 28 %

Answer:

0.28 or 28 percent

Step-by-step explanation:

1)The easiest way to solve this is with a calculator. Just enter in 7/25, and you get 0.28.

2) Now, 0.28 is out of 1, but we also want a percent, so you have to change it to make it out of 100. You do this by multiplying by 100, and to do that you simply move the decimal place 2 places back.

3) You would then get 28, so 28 percent.

Extra) You can also do the part I did with a calculator without, but it is much more time consuming. After you get 0.28, you would go through the steps listed above.

For number of bags, divide total area by the area 1 bag can cover.

480 / 12 = 40 total bags.

Now for total weight, multiple total bags by weight per bag:

40 bags x 40 pounds = 1,600 total pounds.

A = 40 bags

B = 1,600 pounds

Answer:

78 inches or 174 inches (see explanation)

Step-by-step explanation:

If the perimeter is 64 feet, that means that each side is 8 feet, since there are 8 sides (64/8=8). 8 feet is 96 inches (8*12=96). 96-18=78, so the minimum length of wood he needs for the ledges is 78 inches, assuming you're not counting the wood for the perimeter, too (in which case it would be 174 inches) (78+96=174). Hope this helps!

Answer:

its 28 dude, because it says that adults and children are played more on saturday.(adults on Saturday=$8 and children under 12 are $4

Answer:

05/3

Step-by-step explanation:

5/3 = 1.66

Answer:

5/3

Step-by-step explanation:

a= 3 and b= 5

b/a

5/3

Answer:

Linear function

Step-by-step explanation:

5 x 4 = 20

20 x 4 = 80

80 x 4 = 320

Answer:

3/5

Step-by-step explanation:

What divisor is represented by the synthetic division below? x + 5. One factor of  x^3+x^2+x+1. If f(-5) = 0, what are all the factors of the function mc022-... -4 and 3. The polynomial function f(x) = 5x5 + 3x - 3 is graphed below. The root at point P maybe 3/5  3.

The potential rational roots are: [tex]\pm 1, \pm \frac{1}{5}, \pm 3,\pm \frac{3}{5}[/tex]

The rational root theorem is used to determine the possible rational roots of a polynomial function

The equation of the function is given as:

[tex]f(x) = 5x^5 +\frac{16}{5} x -3[/tex]

Considering a polynomial function, f(x).

Such that:

[tex]f(x) = px^n + .......... +q[/tex]

The possible rational roots are:

[tex]Roots =\pm \frac{Factors\ of\ q}{Factors\ of\ p}[/tex]

So, we have:

[tex]Roots =\pm \frac{Factors\ of\ 3}{Factors\ of\ 5}[/tex]

List the factors of 3 and 5

[tex]Roots =\pm \frac{1,3}{1,5}[/tex]

Split

[tex]Roots =\pm \frac{1}{1}, \pm \frac{1}{5}, \pm \frac{3}{1},\pm \frac{3}{5}[/tex]

Simplify

[tex]Roots =\pm 1, \pm \frac{1}{5}, \pm 3,\pm \frac{3}{5}[/tex]

Hence, the potential rational roots are:

[tex]\pm 1, \pm \frac{1}{5}, \pm 3,\pm \frac{3}{5}[/tex]

Read more about potential rational roots at:

https://brainly.com/question/7594092

Answer:

d = √8

d ≈ 2.82843

Step-by-step explanation:

Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in our coordinates into the distance formula:

[tex]d = \sqrt{(-3 + 5)^2+(-8 + 6)^2}[/tex]

[tex]d = \sqrt{(2)^2+(-2)^2}[/tex]

[tex]d = \sqrt{4+4}[/tex]

[tex]d = \sqrt{8}[/tex]

To find the decimal, simply evaluate the square root:

√8 = 2.82843

Answer:

Step-by-step explanation:

Let the points be A and B

A ( - 5 , - 6 ) ⇒ ( x₁ , y₁ )

B ( -3 , - 8 )⇒( x₂ , y₂ )

Now, let's find the distance between these two points:

AB = [tex] \mathsf{ \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }[/tex]

Plug the values

⇒[tex] \mathsf{ \sqrt{( - 3 - ( - 5) )^{2} + {( - 8 - ( - 6))}^{2} } }[/tex]

When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression

⇒[tex] \mathsf{ \sqrt{ {( - 3 + 5)}^{2} + {( - 8 + 6)}^{2} } }[/tex]

Calculate

⇒[tex] \mathsf{ \sqrt{ {(2)}^{2} + {( - 2)}^{2} } }[/tex]

Evaluate the power

⇒[tex] \mathsf{ \sqrt{4 + 4} }[/tex]

Add the numbers

⇒[tex] \mathsf{\sqrt{8} }[/tex]

Simplify the radical expression

⇒[tex] \mathsf{ \sqrt{2 \times 2 \times 2}} [/tex]

⇒[tex] \mathsf{2 \sqrt{2} }[/tex] units

Hope I helped!

Best regards!

Sry couldn't find the answer

Answer:

C. 567yd^3

Step-by-step explanation:

To find the volume of the right triangular prism, it is: 1/2a c h.

In this case, 1/2✖️9✖️6✖️21=567yd^3

So this means that option C is the correct answer.

Hope this helps!

Have a nice day:)

Answer:

567 cu. yard

Step-by-step explanation:

will make it simple and short.

Vol = area of a triangle x length

Vol = (1/2 * 6 * 9 ) * 21

Vol = 567 cu. yard

Answer:

A) 24+24+120+160+200

Step-by-step explanation:

The two ends are 24 (1/2bh= 1/2(8*6)).

One side (the back) is 6x20=120

One side (the bottom) is 8x20=160

One side (the top) is 10x20=200

So the equation is 24+24+120+160+200

Answer:

17/7

Step-by-step explanation:

the ratio would be 51/21 then to simplify divide both numbers by 3 to get 17/7

Hi there! :)

Answer:

[tex]\huge\boxed{\frac{17}{7} }[/tex]

Given ratio of 51 boys to 21 girls:

Write as a ratio:

[tex]51 : 21[/tex]

Divide both terms by GCF, or 3:

[tex]\frac{51}{3} : \frac{21}{3}[/tex]

[tex]17 : 7[/tex] or [tex]\frac{17}{7}[/tex]

Therefore, the ratio is 17 boys to 7 girls, or   [tex]\boxed {\frac{17}{7}}[/tex]

Answer:

Adult=1,385.71

Children=814.29

Approximately

Adult=1386

Children=814

Step-by-step explanation:

c= number of children

a= number of adults

Admission fee for children=$4.50

Admission fee for adults=$8.00

Total attendees=2200

Total amount realized=$5050

We need two equations to solve the two unknowns

c + a=2200 (1)

4.50c + 8.00a=5,050 (2)

From (1)

c + a=2200

c=2200 - a

Substitute c=2200 - a into (2)

4.50c + 8.00a=5,050

4.50(2200 - a) + 8.00a=5050

9900 - 4.50a +8.00a=5050

Collect like terms

9900-5050= -4.50a+8.00a

4,850=3.5a

Divide both sides by 3.5

1,385.71=a

Substitute a=1,385,71 into (1)

c + a=2200

c+1385.71=2200

c=2200-1385.71

=814.29

c=814.29

Answer:

1 1/2 miles / hour

Step-by-step explanation:

We want distance / time

3/4 miles

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

1/2 hour

3/4 ÷ 1/2

Copy dot flip

3/4 * 2/1

3/2

1 1/2 miles / hour

Answer:

D

Step-by-step explanation:

Multiple (3/4)  by 2 to find the information for one hour)

6/4 in one hour

3/2 or 1 + 1/2 mi/h

D is the answer

Answer:

810 cubic centimetres

Step-by-step explanation:

If the box has a square base, the length and breadth of the box are the same. In this case, it's 9cm

The formula for the area of a rectangular prism is

A = lbh

where

l = length

b = breadth

h = height

Therefore the area is 9x9x10 = 810cm³

Answer:

V = 810 cm³

Step-by-step explanation:

V = Ab × h

Ab = s² = (9cm)² = 81 cm²

V = 81cm²×10cm = 810 cm³

Answer:

1/4 was eaten by mama and Baby also ate 1/4

Step-by-step explanation:

goldilocks got 0/4

if papa ate half and baby and mama each ate 1/4 they equal up to 2/4 which is 1/2

papa ate 1/2 and 1/2+1/2=1

Mama bear ate (1/4)a part of pie and the (1/8) fractional part was left for Goldilocks.

The fraction is a rational number that simply divides two numbers and is written in the form a/b where a is called the numerator and b is called the denominator.

Let the full part of the pie is a.

Papa bear ate 1/2 part of the pie.

Then papa bear ate = (1/2)a

rest of the pie is= a- (1/2)a= (1/2)a

Mama bear ate (1/2) of the rest of the pie.

so mama bear ate = (1/2)(1/2)a= (1/4)a part of pie
rest of pie after mama bear ate = (1/2)a- (1/4)a= (1/4)a

Then baby bear ate (1/2) of the rest of the pie.

so baby bear ate = (1/2)(1/4)a= (1/8)a part of pie
rest of pie after baby bear ate = (1/4)a- (1/8)a= (1/8)

The rest of the part was left for GoldLiocks.

Therefore mama bear ate (1/4)a part of pie and the (1/8) fractional part was left for Goldilocks.

Learn more about fraction

here: https://brainly.com/question/78672

#SPJ2

Answer:

The 8 pack is the better deal.

Step-by-step explanation:

To get the answer you do the following:

Find the price of one pack for each;

1/12*5= $0.42( cost of one pack for the 12 pack part)

1/8*3= $0.38( cost of one pack for the 8 pack part)

The answer is that the 8 pack is cheaper .

Answer:

MON = 130°

Step-by-step explanation:

LOM + MON = 180°

In other words

4z + 30° + 8z + 90 = 180°

12z + 120 = 180

60 = 12z

z = 5

5 x 8 = 40 + 90 = 130°

Answer:

∠MON = 130º

Step-by-step explanation:

∠LON = ∠LOM + ∠MON

∠LON = 180º

180 = (4x + 30) + (8x+ 90)

combine like terms

180 = 12 x + 120

60 = 12x

x = 5

plug x into equations.

∠MON = 8(5) + 90

∠MON = 40 + 90

∠MON = 130º

check work:

∠LOM = 4(5) + 30

∠LOM = 20 + 30

∠LOM = 50

∠LON = ∠LOM + ∠MON

180 = 50 + 130

Answer:

Step-by-step explanation:

how do i circle? i know answer but how to tell you?

Answer:

[tex]\boxed{to\ explain\ the\ most\ important\ ideas\ in\ the\ text}[/tex]

Step-by-step explanation:

The purpose of the central idea is to explain the central/most important ideas in the theme. Central idea provides the explanation of the most important i.e. central ideas of the text. So, the central idea provides the explanation of central ideas of the text as the name indicates.

Answer:

to explain the most important ideas in the text

Step-by-step explanation:

the person above me is corrwct

Answer:

1/6

Step-by-step explanation:

there are 6 sides/numbers on a die. 1 roll with a possibility of 6 outcomes.

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

Because there are six possibilities and only one of those possibilities will yield a six, we can find the probability to be [tex]\frac{1}{6}[/tex]