On the next test, one of the students score 100 but the remaining 4 students score 50 again. What is the average score on this second test?

Answer:

Cost of one Teacup =  $3

Cost of one Roller coaster =  $4

Cost of one Spinning Vortex = $6

Marc spent = 3x + 2y + 2z = $29

Step-by-step explanation:

Let

Cost of one Teacup = x

Cost of one Roller coaster = y

Cost of one Spinning Vortex = z

In Kristen case -

2x + 2y + z = $20

In Jorge case -

x + y + 3z = $25

In Lakesha case -

5x + 2y + z = $29

In Marc case -

3x + 2y + 2z = ?

Now, we have

2x + 2y + z = $20       ......(1)

x + y + 3z = $25         ........(2)

5x + 2y + z = $29      .........(3)

Now,

Subtract equation (1) from equation (3), we get

5x + 2y + z - ( 2x + 2y + z ) = $29 - 20

⇒5x + 2y + z - 2x - 2y - z  = $9

⇒3x = $9

⇒x = $3

Now,

Multiply be 2 in equation (2) , we get

2x + 2y + 6z = $50        ........(4)

Now,

Subtract equation (1) from equation (4), we get

2x + 2y + 6z - ( 2x + 2y + z ) = $50 - 20

⇒2x + 2y + 6z - 2x - 2y - z  = $30

⇒5z = $30

⇒z = $6

Now,

Put the values of x and z in equation (2) , we get

$3 + y + 3($6) = $25

⇒$3 + y + $18 = $25

⇒y + $21 = $25

⇒y = $25 - 21

⇒y = $4

∴ we get

Cost of one Teacup = x = $3

Cost of one Roller coaster = y = $4

Cost of one Spinning Vortex = z = $6

Marc spent = 3x + 2y + 2z = 3($3) + 2($4) + 2($6) = $9 + $8 + $12 = $29

Rezultatul este 1 sa scri 1

Step-by-step explanation:

-2x-x=3-3

{-x=0}×-1

X=0

Answer:

True

Step-by-step explanation:

Answer:

fjruehbrehjfg

Step-by-step explanation:

h3efhrifhe

Answer:

6x4= 24

x4)+(3x4)=12

bsnskzifkznsnaksifi

The complete sentence is 6 x 4 =( 3 x 4) + (3 x 4)

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

6 x 4 =( x 4) + (3 x 4)

Now, split 6 as two equal quantities

6 = 3+ 3

So, 6 x 4 =24

( 3x 4) + (3 x 4)

= 12+ 12

= 24

Hence, LHS = RHS.

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ2

Answer: 487, B.

Step-by-step explanation:

24350 ÷ 50 = 487.

Divide :)

The answer is 487, or B.

Answer:

2x + 6x + 20 = 180

8x = 160

x = 20

EZ

give brainliest now

40 + 140 = 180 (proof)

Step-by-step explanation:

Answer:

★ The answer is 180

Step-by-step explanation:

Hope you have a great day :)

Answer:

Let's solve first the part B.

We know that the company does not charge an extra fee is the luggage is less than 55 pounds.

Then if p represents the weight of the passenger's luggage, we need to have:

p is smaller than 55 lb

We also can write this as:

p < 55lb

where the symbol "<"

means that the left side is strictly smaller than the right side.

If we want to be more precise in the notation, we also should have a lower limit.

0lb < p < 55lb

Where the lower limit is because the weight of the luggage can not be zero or smaller than zero.

This is the inequality we wanted.

Now, how we represent this on a number line?

when we have:

x > a

We represent this with a open circle at x = a (this means that x = a is not a solution) and we draw an arrow to the right of a.

and for:

x < a

we represent this with an open circle at a, and we draw an arrow to the left of a.

And if we have:

a < x < b

we draw an open circle at x = a and another at x = b, and all the points between these circles will be solutions.

You can see the graph of the inequality below.

Part A)

(where the point of the arrow should not be there, and both circles should be white)

The question is worded incorrectly.  It should say the DENSITY of water is 62 1/2 lbs per cubic foot.  Divide the weight by the density to get volume.

(150 lbs) / (62.5 lbs/ft3) = ? ft3 (the two 3's are exponents. so it'd be ft then an exponent of 3.)

Answer:

65°

Step-by-step explanation:

[tex] m\angle DGF = 90\degree - 25\degree [/tex]

[tex] m\angle DGF = 65\degree [/tex]

Answer:

65

Step-by-step explanation:

Angle AGF = 90 (given)

Angle AGC = 25 (given)

Angle BGD = 25 (Vertically Opposite Angles are equal)

Angle DGF = 180-(90+25) (angles in a straight line is equal to 180)

=180-115

=65

Hope it helped!

Thanks!

Answer:y=Mx+b

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

a is false since x could be 0.

b is easy to check, just plug numbers in, and we can see that it's false(you would get 0+0=1 and -0-0=-1 once plugged in)

c is also easy to check, just plot the line or simplify the first equation. since (2x+2y)/2=4/2 is also x+y=2, the second equation is also x+y=2, so it must have infinitely many solutions.

d must be true due to process of elimination but let's check to make sure.

7y=14x, divide both sides by 7 to get y=2x and since they're the same equation it must mean that they have infinitly many solutions and we can see that it is correct

Answer:

use photo math it helps.......

Answer:

-1

Step-by-step explanation:

Let's simplify this equation one at a time using the order of operations:

|2 - 5| - (12÷4 - 1)^2

3 - (3 - 1)^2

3 - 2^2

3 - 4 = -1

Hope this helps!!

Answer:

17.25

Step-by-step explanation:

5/100 x 345 = 1725/100 = 17.25

Answer:

43.10

Step-by-step explanation:

Je parle une ciart mwoa

Answer:

On Friday it saved 1,024

Step-by-step explanation:

The computation of the amount saved on friday is given below:

GIven that

On Monday it saved P4

On Tuesday it saved P16 (P4 × 4)

On Wednesday it saved P64 (P16 × 4)

On Thursday it saved 256 (P64 × 4)

On Friday it saved 1,024 (P256 × 4)

Answer:

20 hours

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

We know that 25% is 1/4 of the time. So 5 hours would be multiplied by 4, which is the reciprocal of 1/4.

5 x 4 = 20, so that's your answer. I hope I helped :)

Answer:

4,71cm3

Step-by-step explanation:

calculas el area del circulo. luego lo divides entre 360 que son los grados que tiene el circulo y luego lo multiplicas entre 60 k son los grados de la superficie que te pide

Answer:

B) 4.71 cm², the approximate area of the shaded sector in the circle shown below is 4.71 cm²

Answer: (-4,-7)

Step-by-step explanation:

The Midpiont formale is in the picture and add -6 with -2 and add -8 with -6.

-6 + -2 = -8

-8+-6=-14

-8 divided 2 = -4

-14 divided 2 = -7

(-4,-7)

Answer:

uhh

Step-by-step explanation:

I'm not sure what It is

Step-by-step explanation:

Well if you dont understand something ask a teacher for help or study on a topic that you struggle with for example math try looking up different math questions and solving them or ask a teacher is you can have pratice questions or problems then show it to him/her so they can check to see if you are right. Hope that help unless you dont understand a certain question that I might have missed.

Answer:

8. d

9. c

Step-by-step explanation:

I can give you an explanation if u want

Answer:

(3.14)(68)^2=14519.40mm^2      if 68mm is the radius

Step-by-step explanation:

Answer:

cierto

Step-by-step explanation:

Step-by-step explanation:

Option d is he correct answer.

.....

Answer:

-16

Step-by-step explanation:

2xy + 3yz - xyz

x = 2, y = -2, z = 4

First, plug these values into the equation.

2(2)(-2) + 3(-2)(4) - (2)(-2)(4) = ?

Next, multiply the parentheses.

(-8) + (-24) - (-16) = ?

When you add a negative, you are actually subtracting the number. And when you subtract a negative, you are actually adding the number. Apply this to the equation.

-8 - 24 + 16 = ?

Now, simplify from left to right.

-32 + 16

-16

Your answer is -16.

Hope this helps!