I have a bag with yellow and blue marbles in it. At the moment, the ratio of blue marbles to yellow marbles is 4:3. If I add 5 blue marbles and remove 3 yellow marbles, the ratio will be 7:3. How many blue marbles were in the bag before I added more?

Answer:  Each screensaver costs $2 and each Otterbox costs $7.

Step-by-step explanation:

Let x = Cost of each screensaver and y = cost of each Otterbox.

As per given, 4x+3y=29       (i)

6x +2y = 26  (ii)

Divide both sides of (i) by 2 and the multiply it by 3 on sides , we get

9x+3y=39    (iii)

Eliminate (i) from (iii) , we get

5x = 10

⇒ x = 2  [Divide both sides by 5]

Put value of x in (i), we get

4(2)+3y=29

⇒ 8+3y= 29

⇒ 3y= 21

⇒ y =7 [Divide both sides by 7]

Hence, Each screensaver costs $2 and each Otterbox costs $7.

Answer:

y = 3x -10

Step-by-step explanation:

Use the method [tex]\frac{rise}{run}[/tex].

I took a screenshot of the graph below, as an example of the rise over run method.

3 ÷ 1 = 3

To find the y intercept, count down on the graph until you reach the point where the line crosses.

In this case, the line crossed at -10 on the y-axis.

(Look at the second image)

So plug the numbers into the equation, and then you get y = 3x -10.

Answer:

[tex]m\angle N=57^{\circ}[/tex]

Step-by-step explanation:

From the isosceles-base theorem, the measure of the angles adjacent to the pair of congruent sides of the triangle are equal. Since the problem declares [tex]LM\cong LN[/tex], the remaining unknown angles are equal ([tex]m\angle N=m\angle M[/tex]). The sum of the interior angles of a triangle always add up to [tex]180^{\circ}$[/tex].

Therefore:

[tex]m\angle N\cdot 2+66=180,\\m\angle N\cdot 2=114,\\m\angle N=\fbox{$57^{\circ}$}[/tex] .

Answer:

LMN is rectangle in L so LMN= 180° ; ML=66°;N=?  N= 180°- 66°=114=114/2= 57° so N=57°

Step-by-step explanation:

When the angle at the top is close to 0 °, the two of the base get less than 180 °, or less than 90 ° for each. If the angle at the top is 60 °, the other two are: 180 - 60 = 120 °, and each is: 120/2 = 60 °.

Answer:

The answer is below

Step-by-step explanation:

a)  x represents the number of years since 2004 this means that x = 0 represent the year 2004, y represent the number of catalogs. From the table the numbers of catalogs in 2004 are y-intercepts and the slope is the growth rates. Hence the equations are:

y = 1293x + 7440           (1)

y = -1364x + 3805         (2)

b)

y = 1293x + 7440           (1)

y = -1364x + 3805         (2)

Subtract equation 2 from equation 1 to get:

0 = 2657x + 3635

2657x = -3635

Divide through by 2657

x = -1.368

Put x = -1.368 in equation 1:

y = 1293(-1.368) + 7440

y = 5671.1

This means that about 1.4 years before 2004, the number of catalogs where 5671

Answer:

Step-by-step explanation:

conversion factors:

m:cm= 1:100

dm:km= 1,000,000:1

m:mm= 1:1000

hg:dg= 1:1000

g:cg= 1:100

kg:g=1000

so we plug in:

5m=500 cm

5246dm=0.5246km

5.246m=5246mm

3.7hg=3700dg

0.37g=37cg

370kg:370000

so the word is SPEAKUP

Answer:

E

Step-by-step explanation:

E is the correct answer

Answer: (5,7)

Step-by-step explanation:

Answer: 40

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

All triangles has the sum of the internal angle equal to 180

2x+10+3x+x+50=180

Combine like terms

6x+60=180

Subtract 60 on both sides

6x=120

Divide 6 on both sides

x=20

Hope it helped :))

Answer:

12 onces of yellow paint should be use

Step-by-step explanation:

3:5

= 3 x 4 =12    and   = 5 x 2 = 20

Answer:

12:20

Step-by-step explanation:

12:20, to have 3:5 get to ?:20 you need to see how many times 5 can go into 20 (4) then you multiply 3x4 to get 12. so 12:20

Answer:

1. x=2 y=4

2. x=2 y=2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

You can make an infinite number of triangles with those three angle measures, because the side lengths can be different.

Answer:

My friend is wrong since, the area of the triangle with sides a, b, c is one-quarter the area of triangle with sides 2a, 2b, 2c

Step-by-step explanation:

Using herons formula, the area of the first triangle with sides a, b, c is A = √[s(s -a)(s - b)(s -c)] where s = (a + b + c)/2.

So, A = √[(a + b + c)/2((a + b + c)/2 - a)((a + b + c)/2 - b)((a + b + c)/2 - c)]

= √[(a + b + c)/2((b + c - a)/2)((a - b + c)/2)((a + b - c)/2)]

= 1/4√[(a + b + c)(b + c - a)(a - b + c)(a + b - c)].

For the triangle with sides 2a, 2b, 2c, the area is A' = √[s'(s' - 2a)(s' - 2b)(s' -c)] where s' = (2a + 2b + 2c)/2 = a + b + c.

So, A' = √[(a + b + c)((a + b + c) - 2a)((a + b + c) - 2b)((a + b + c) - 2c)]

= √[(a + b + c)((b + c - a)(a - b + c)(a + b - c)]

= √[(a + b + c)(b + c - a)(a - b + c)(a + b - c)].

Since A = 1/4√[(a + b + c)(b + c - a)(a - b + c)(a + b - c)]. and A' = √[(a + b + c)(b + c - a)(a - b + c)(a + b - c)] ⇒ A = A'/4

So, the area of the triangle with sides a, b, c is one-quarter the area of triangle with sides 2a, 2b, 2c. So, my friend is wrong.

Answer:

y=1/2x+2

Step-by-step explanation:

hope it helps ^^

Answer:

$1.80

Step-by-step explanation:

i had this question

Answer:

She will pay $30.8448.

Step-by-step explanation:

Consider the provided information.

The price of the sweater is $90.

She gets a discount of 30% it means she needs to pay only (100-30)%=70% of $90.

70% of $90 = [tex]0.7\times 90 = 63[/tex]

Now she gets a discount of 20% it means she needs to only 80% of $63.

[tex]0.8\times 63=50.4[/tex]

If she gets a discount of 10% on $50.4 it means she needs to pay 90% of 50.4

[tex]0.9\times 50.4=45.36[/tex]

If she gets a discount of 15% on 45.36 it means she needs to pay only 85% of 45.36

[tex]0.85\times 45.36 =38.556[/tex]

Now she gets an additional 20% holiday Bones Buck discount it means she needs to pay 80% of 38.556

[tex]0.8\times 38.556=30.8448[/tex]

Hence, she will pay $30.8448.

Answer:

The volume of the shark tank is [tex]2160 m^3[/tex]

Step-by-step explanation:

The tank is in the shape of a rectangular prism.

The length of the tank, [tex]l=18[/tex] m.

The width of the tank, [tex]w=15[/tex] m.

The height of the tank, [tex]h=8[/tex] m.

We know that, volume of a rectangular prism [tex]=l\times w \times h[/tex].

So, the volume of the tank [tex]=18\times 15\times 8=2160 m^3[/tex]

Hence, the volume of the shark tank is  [tex]2160 m^3[/tex].

Answer:

So for..

a. from: 2   to: 4

b. from: 0   to: 2      ( I believe this one, may be incorrect- sorry if so)

c. from: 6   to: 10      ( I believe also for this one, sorry if incorrect)

d. from: 5   to: 6       ( I beleive- that is what it looks like- sorry if incorrect)

e.  They are staying at a constant rate, not changing, at rest...

Hope this helps!

Answer:

(a^2+ax-y) (a^2+ax+y^2)

Step-by-step explanation:

a^4+2xa³+a²x²-y^4

(a^2+ax)^2-y^4

(a^2+ax-y) (a^2+ax+y^2)

9514 1404 393

Answer:

  (a^2 +ax -y^2)·(a^2 +ax +y^2)

Step-by-step explanation:

This can be factored as the difference of squares.

  a^4 +2a^3x +a^2x^2 - y^4 = a^2(a+x)^2 - y^4

  = (a(a+x) -y^2)(a(a+x) +y^2)

  = (a^2 +ax -y^2)·(a^2 +ax +y^2)

Answer:

x^2 + 4x + 3 with a remainder of 5

Answer:

He earns $400 weekly and $57.14

Step-by-step explanation:

40*10 = $400

Answer: 5 units

Step-by-step explanation:

The shape presented is a triangle and the distance between Link and Ganon is the hypothenuse of that triangle.

This can be calculate using the Pythagoras rule:

c² = a² + b²

c is the hypothenuse.

a in the triangle = base = 4 units

b = height = 3 units

c² = 4² + 3²

c² = 16 + 9

c² = 25

c = √25

c = 5 units

Answer:

wait i'm tho lol

Step-by-step explanation:

Answer:

$46.27

Step-by-step explanation:

210.29×.78=164.02

210.29-164.02=46.27