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Answer:

Equation 1: L+M=T

Equation 2: 2M=L

Large Pizzas: 6 pizzas

Medium Pizzas: 3 Pizza

Step-by-step explanation:

Equation 1 looks like L+M=T where L is large pizza, M is medium pizza and T is Total of pizzas. The second one would look like 2M=L, to represent how twice the amount of medium pizza equal large pizza. If you were using different variables it would look like X+Y=Total, and 2X=Y.

Answer:

the first option

Step-by-step explanation:

if you were to fold it in half it would be the same shape without anything poking out of the sides. one side reflects the other side

Answer:

Step-by-step explanation:

I just did this question and it is 100% correct

Answer:

65 adults and 70 students

The number of adults and students attendant the sporting event held at a high school are 65 and 70 respectively .

In the elimination method, we eliminate any one of the variables by using basic arithmetic operations and then simplify the equation to find the value of the other variable. Then we can put that value in any of the equations to find the value of the variable eliminated.

According to the question

A sporting event held at a high school had 135 attendees.

In which adults and students are there .

Let adults be a

and students be s

Therefore,

The equation is

a + s = 135 ---------------------------(1)

Now,

The event earned a total of $930.

Admission to the event was $10 for adults and $4 for students.

i,e

10a + 4s = 930 ---------------------------(2)

Now , Using elimination method to solve both equations

a + s = 135 ---------------------------(1)

10a + 4s = $930 -------------------(2)

Step1: Multiplying equation 1 by 10

i,e

10a + 10s = 1350 -------------------(3)

Step2: Subtract equation (2) from (3)

10a + 10s = 1350 -------------------(3)

-10a - 4s = -930 -------------------(2)

6s = 420

s = 70

Now , Substituting the value of s in equation (1)

a + s = 135 ---------------------------(1)

a + 70 = 135

a = 65

Hence, The number of adults and students attendant the sporting event held at a high school are 65 and 70 respectively .

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Answer:

25 hours

Step-by-step explanation:

subtract 800 from 570 to find out how much more she needs to save

divide your answer by 9.20

hope you understand

Answer:

22

Step-by-step explanation:

2x+x-2=2x+9

3x-2=2x+9

x-2=9

x=11

MN=2x

MN=2(11)

MN=22

If its easy, why don’t you do it yourself??

Answer:

C (is greater than it equal to) 31

Step-by-step explanation:

Isolate the c by adding 11 to both sides (cancels out the 11 and turns 20 into 31). Keep the sign the same!! Hope this helped! <33

Answer:

The easiest way to solve this system would be to use substitution since x is already isolated in the first equation. Whenever one equation is already solved for a variable, substitution will be the quickest and easiest method

Answer:

p=q

Step-by-step explanation:

all angles together is 180. p=70 degrees and q = 70 degrees

Answer:

44 dollars

Step-by-step explanation:

Since we need to find the total sales, we do 152 * .29, but we are estimating, therefore, instead we can do 150 * .29, which is 43.5. Rounding up we get 44, thus 44 is our answer

Answer:

x = 3.96

Step-by-step explanation:

apply the pitagoras theorem

x =

[tex] \sqrt{ {2.8}^{2} + {2.8 }^{2} } [/tex]

Answer:

67

Step-by-step explanation:

Answer:

$637.54

Step-by-step explanation:

The cost is $588.95 and the tax is 8.25%, which needs to be turned into a decimal by moving the decimal 2 places to the left. .0825. Now multiply 588.95 x .0825 and that gives you the tax: $48.59 after rounding. Now add the tax to the price: 588.95 + 48.59 = $637.54.

Answer: 8/3, 2 2/3

Step-by-step explanation:

reciprocal of 3/12 is 12/3

soooooo

4/6 x 12/3

which is 48/18

u can divide that by 6

which is 8/3

or 2 2/3

Answer:

54 - (2n)

Step-by-step explanation:

First you take 54

Then its says to “decrease (said number: 54) by twice a number”

Decrease meaning “take away/remove”.

So you subtract 54 by 2 —> 54 - 2

But then, the important line comes along, “Use the variable n to represent the unknown number.

This mean that ”n”, multiplied by two is what the number: 54 is being deceased by.

So your answer is —> 54 - (2n)

Answer:

54 - 2n

Step-by-step explanation:

54 - 2n

Answer:

AB ≈ 5.7

Step-by-step explanation:

Calculate AB using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 2, - 2 ) and (x₂, y₂ ) = (2, 2 )

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

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

     = [tex]\sqrt{4^2+4^2}[/tex]

     = [tex]\sqrt{16+16}[/tex]

     = [tex]\sqrt{32}[/tex]

     ≈ 5.7 ( to the nearest tenth )

The correct statement is ''Lin can walk southwest by creating an obtuse triangle to reach his house from the gym'' and it can be determined by using the properties of triangle.

We have to determine

What general direction did Lin walk from the gym to his house, and what type of triangle did his walking path form?

According to the question,

1.  Lin walked south, creating a right triangle-

When someone walked in only one direction then a straight line is made by him over his path.

Here Lin can not make a right triangle just by walking in one direction.

Thus statement 1 is incorrect.

2. Lin walked southwest, creating an obtuse triangle.

When someone wants to reach a diagonal direction he can use either the right angle triangle path or the obtuse triangle.  

Lin can walk southwest by creating an obtuse triangle to reach his house from the gym.

Thus statement 2 is correct.

3. Lin walked southeast, creating an acute triangle.

Actuate triangle is a triangle in which all three angles are less than the right angles (90 degrees).

With walking in actuate triangle one can make Lin can not go in his diagonal direction.

Thus statement 3 is incorrect.  

4. Lin walked directly east, creating a right triangle.

When someone walked in only one direction then a straight line is made by him over his path.

Here Lin can not make a right triangle just by walking in one direction.

Thus statement 4 is incorrect.

Hence, Lin can walk southwest by creating an obtuse triangle to reach his house from the gym. Thus statement 2 is correct.

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Answer:

its B Lin walked southwest, creating an obtuse triangle

Answer: 45 minutes for BOTH workouts

Step-by-step explanation:

Let time for plan a be x

Let time for plan b be y

On Wednesday

# of clients for plan a are 5

# clients for plan b are 3

On Thursday

# of clients for plan a are 7

# of clients for plan b are 9

Wednesday eqn --> 5x+3y=6

Thursday eqn --> 7x+9y=12

Multiply Wednesday equation by -3 and use elimination to solve

-15x-9y=-18

7x+9y=12

-8x=-6

x=6/8

Reduce: x=3/4 hour

Substitute x=3/4 into Thursday equation

7(3/4)+9y=12

9y=27/4

y=3/4

Therefore, the length of BOTH the plan a and plan b workouts were 45 minutes

Answer:

  a) g(0) = -4

  b) x = -2 or +2 for g(x) = 0

  c) domain: all real numbers; range: y ≥ -4

Step-by-step explanation:

g(0) is the value of the function when x=0. That is where the function crosses the y-axis. g(0) = -4.

__

g(x) = 0 where the graph crosses the x-axis. The x-values there are ...

  x = -2 and x = 2

__

The domain is the horizontal extent of the graph. Here, we assume the graph extends to infinity both in the upward direction and to the left and right. Thus the horizontal extent (domain) is from -∞ to +∞, or "all real numbers."

The point where the graph crosses the y-axis is a minimum. There are no y-values below that point. So, the vertical extent (range) of the graph is from y=-4 to +∞.

  y ≥ -4 . . . . range

Answer:

35x does not equal 5 times 7Step-by-step explanation:

The second step ''(5 × 7) - (5 × 3)'' has an error.

Given that;

Luis made an error when he used the distributive property to write an equivalent expression.

Here the expression is,

35x - 15

It can be written as;

(5 × 7)x - (5 × 3)

Take 5 as common,

5 (7x - 3)

Therefore, the second step ''(5 × 7) - (5 × 3)'' has an error.

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31

hope this is helpful!

Answer:

He can walk 0.25 blocks in 1 minute

Step-by-step explanation:

If Zack can walk 7.5 blocks in 30 minutes and we are looking for how many blocks he can walk in 1 minute, we will divide 7.5 by 30 as that will be the number of blocks per minute.

7.5/30 = 0.25

The correct option is E. 0.579

Given, sin M = 0.759.

We have to find the value of cos N.

Since [tex]\Delta LMN[/tex] is right triangle.

We know that,

[tex]sin(90-\Theta)= Cos \Theta[/tex]

Assuming L is the right angle, So the other two angles are complementary.

Thus, [tex]cos(N) = sin(90-N) = sin(M)[/tex]

Hence,[tex]Cos(N)=Sin(M)[/tex]

Therefore the value of Cos N will be 0.759.

For more details on trigonometric ratio follow the link:

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Answer:

19.0% (1dp)

Step-by-step explanation:

$625-$525=$100

$100/$525=4/21×100=19.0% (1dp)

Step-by-step explanation:

We first calculate the lenght of the diameter, that is also the lenght of the hypotenuse of the right triangle shown in the figure:

d = [tex]\sqrt{3^2 + 4^2} = \sqrt{25} = 5[/tex] cm

The radius of the circle will be half of the diameter: r = d/2 = 2.5 cm

The area of the circle will be: Acircle = pi * r^2 = pi * 6.25 cm^2 = 19.6 cm^2 (circa).

Now from the area of the circle we subtract the area of the square:

Asquare = 4cm * 3cm = 12cm^2

A shaded = Acircle - Asquare = 19.6 cm^2 - 12cm^2 = 7.6 cm^2

Answer:

inches: 0.5 miles: 14

inches: 1 miles 28

inches: 1.5 miles 42

Hope This Helps!!!

Answer:

6mph

Step-by-step explanation:

180/4.5=40

180 × (1+15%)=207

207/4.5=46

46-40=6

Answer:

I know the pythagorean theorem

Step-by-step explanation:

ok

Answer:

$1.20 per chicken

Step-by-step explanation:

[tex]\frac{money} {chickens}[/tex]

[tex]\frac{18}{15}[/tex]

1.2

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Hope this helps!!

If I am wrong, please tell me, I enjoy learning from my mistakes:)