Find the equation of the line that passes through (4,13) and (8,1)

5 yellow tiles should be removed.

The original ratio of red tiles to yellow tiles as per the question :Ratio = 6:15. Now, after removal of red tiles, the numerator of ratio will become = 6 - 2. The numerator of new ratio will be 4. For yellow tiles, let the number of yellow tiles removed be x. So, the denominator or new number of yellow tiles will be 15 - x.

Now, relating the two ratio -

6:15 = 4:(15 - x)

Performing cross-multiplication to find the value of x.

6 × (15 - x) = 4 × 15

Performing multiplication on both the Left Hand Side and Right Hand Side

90 - 6x = 60

6x = 90 - 60

Performing subtraction to find the value of x

6x = 30

x = [tex]\frac{30}{6}[/tex]

Performing division to find the value of x

x = 5

So, the number of yellow tiles to be removed is 5.

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The complete question is -

A bag contains 6 red tiles and 15 yellow tiles. Lilia removes 2 red tiles. How many yellow tiles should she remove so that the ratio of red tiles to yellow tiles in the bag stays equivalent to 6 : 15?

Answer:

x-

[tex]x = - {y}^{2} + 8k[/tex]

Solution:

B. [tex](-6-\sqrt{29},-6+\sqrt{29})[/tex]

Hope this helps! If so, lmk! Thanks and good luck!

Answer: (-6-[tex]\sqrt{29}[/tex], -6+[tex]\sqrt{29}[/tex]) ==> D

Step-by-step explanation:

x^2 + 12x +7 < 0

x^2+12x+36-29<0

(x+6)^2-29<0

(x+6)^2<29

x+6<[tex]\sqrt{29}[/tex]

x<-6+[tex]\sqrt{29}[/tex]

x+6>-[tex]\sqrt{29}[/tex]

x>-6-[tex]\sqrt{29}[/tex]

(-6-[tex]\sqrt{29}[/tex], -6+[tex]\sqrt{29}[/tex]) ==> D

-6-[tex]\sqrt{29}[/tex] and -6+[tex]\sqrt{29}[/tex] aren't included in the solution since if these values are plugged in to x^2 + 12x +7, the expression will equal 0. That's not supposed to happen. The expression is supposed to be LESS than 0.

Answer:

========================

In order to find the distance you run each month you need to divide the total distance by the number of months:

Answer:

38.4895cm²

Step-by-step explanation:

The area=3.142×(3.5cm)²=38.4895cm²

Answer:

The Area of circle is 34.49cm

Step-by-step explanation:

⟼ Area of a circle = [tex] \sf \pi {r}^{2} [/tex]

where,

⟼ Area = (3.142)(3.5)(3.5)

⟼ Area = (3.142)(12.25)

⟼ Area = 38.4895cm

The equation in the form y = mx +b, where x is the number of monthly minutes used and y is the total monthly of the A Fee and Fee plan is: y = (3/20)x + 32 and the total monthly cost is $173.75.

a. Equation

Slope = ( $123.5-$86)/(610-360)

Slope=37.5/250

Slope= 3/20

y = mx + b

Solve for "b"

$123.5 = (3/20)610 + b

$123.5  = 91.5 + b

b=$123.5-$91.5

b = 32

Equation:

y = (3/20)x + 32

b. Total cost

Total cost= (3/20)945+32

Total cost= 141.75+32

Total cost= $173.75

Therefore the equation in the form y = mx +b, where x is the number of monthly minutes used and y is the total monthly of the A Fee and Fee plan is: y = (3/20)x + 32 and the total monthly cost is $173.75.

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The edge length and area of the face of the cube are 5. 82 meters and 203 square meters respectively

The formuka for the volume of a cube is expressed as;

Volume = a^3

Where 'a' is the length of it's edge

From the information given, we have that the volume of the cube has a value of 197 cubic meters.

Now, substitute the value of the volume

We have;

197 = a^3

Take the cube root of both sides

a = 5. 82 meters

The formula for area of the face of a cube is given as;

Area = 6a ^2

Area = 6(5.82)^2

Area = 6(33. 85)

Area = 203 square meters

Thus, the edge length and area of the face of the cube are 5. 82 meters and 203 square meters respectively

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Step-by-step explanation:

5.6 × 10⁶

hope it's helpful

The equation of the line is y+x+1=0.

It is required to find the equation of the line.

A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.

Given:

The given line is

y=-x-5.

Slope of line

y+x-5=0

We have to find the  equation of the line.

According to given question we have

Slope =-1

Thus the slope of the required line is

-1

The point (5, -6)

The equation of the line is

  y+6=-1​(x−5)

=>y+6=-x+5

=>y+x+1=0

Therefore, the equation of the line is y+x+1=0.

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Answer:

75% of 48 = 36 oranges used on M. 36/12=3, 3 is 1/12 of 36, so he sold 33 more oranges on M then on T when he only sold 3.

If x is reduced by 1/3, 3x will be reduced by 1/3 x 3 = 1

Because y = 3x, y will also be reduced by 1.

Answer:

ANSWERS

1st Question: 8/15

2nd Question: 3

3rd Question: -2 1/7

4th Question: -10

Used a Calculator :3 hope it helps

Answer:

B.

4*2=8

5*3=15

Answer:

A is 3\5; B is 8\3; C is 3\8; D is 5\3

Step-by-step explanation:

divide or multiply
i don't know  if these are right bc I didn't do them in a long time.

Answer:

0.32×0.5=0.16

Answer:

Option 3

Step-by-step explanation:

When y is positive, there is always increase.

When y is negative, there is always decrease.

Answer: there are 4 terms and they are 5x^4, -7x^3, x, and 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.82, 45/50 ,80%

14. The numbers ordered from lowest to highest are

0.82 = 0.82

45/50 = 0.9

80% = 4/5 = 0.8

Answer:  490*x + 700*y ≤ 4000

Answer:

its b

Step-by-step explanation:

The order of the steps for copying the angle from the paper using a compass and a straight edge are;

5. Label the original angle as ‹A. On a separate piece of paper, draw a horizontal ray directed to the right, using the straight edge. Label the left endpoint D

4. Draw an arc centered at the vertex A that passes through both sides of ‹A using the compass. Label the points of intersection B and C.

1. Using the same compass setting, draw an arc centered at point D that intersects the ray and looks like the arc through B and C. Label the intersection of the arc and the ray as E.

3. Adjust the compass to the length BC. Draw an arc with radius BC centered at point E that intersects the arc through E. Label the point of intersection F.

2. Draw [tex] \overrightarrow{DF} [/tex]. You now have [tex] \angle A \cong \angle D [/tex]

The steps for copying an angle includes;

The order of the steps based on the appearance of the step in the question are therefore;

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Answer:

==================================

Since all numbers are positive, their sum or product can be a positive number but never negative or zero.

Based on the ratio, 5¹/₂ : 1¹/₂, the unit rate can be found to be so the statement is TRUE.

To find the unit rate of a ratio, you should divide the first number in the ratio by the second number in the ratio.

When given the ratio, 5¹/₂ : 1¹/₂, therefore, the unit rate is:

= 5¹/₂ ÷ 1¹/₂

= 11/2 ÷ 3/2

= 11/2 x 2/3

= 22 / 6

= 3.6667

= 3²/₃

In conclusion, the unit rate of 5¹/₂ : 1¹/₂ is 3²/₃.

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Answer: If we are looking at percentages you want to find what 262.50 is 5% of what number using the percentage rates equation, the original price would be, $525.00! Hope this helps!

The pool is full for 4 hrs.

Add the rates of filling of the 2 filling pipes and

subtract the rate of draining of the emptying pipe;

1st pipe's rate: ( 1 pool filled ) / ( 3 h);

2nd pipe's rate: ( 1 pool filled ) / ( 6 h );

3rd pipe's rate of emptying: ( 1 pool emptied ) / ( 4 h);

Let t = the time in hrs to fill the pool with all 3 pipes open

1/3+16-1/4 = 1/t;

Multiply both sides by 24t;

t = 4 hrs

volume is a measure of occupied three-dimensional space. it's miles frequently quantified numerically using SI derived units (consisting of the cubic meter and liter) or by way of diverse imperial devices (inclusive of the gallon, quart, cubic inch).

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Answer:

Graph the line using the slope and y-intercept, or two points.

Slope: 1^2

y-intercept: (0,7)

(XY)

(07)

(28)

Answer:

bsosbsodndodnelsnsodnendk

Answer:

2

Step-by-step explanation:

According to the table, when x changes 7 units, y will change 14 units

x          y

-28     -54

-21.     -40

-14       - 26

-7          - 12

0           2

y-intercept is where the line intersects y axis, which x = 0

so y-intercept is 2

Answer:

The answer is C.

(0,4) and (3,0)

Step-by-step explanation:

To find the x, substitute 0 to the y.

* 4x + 3(0) = 12

> 4x = 12

> x = 3 (3,0)

To the y, substitute 0 to the x.

* 4(0) + 3y = 12

> 3y = 12

> y = 4 (0,4)

I hope you get this right!

Answer:

(0,4) and (3,0)

Step-by-step explanation:

Hope this helps :D

If she starts with 6 miles today and add 2 miles each day to her distance until she achieves her goal and  then she has to run 176 miles in total to achieve her 26 miles goal.

Given,

Total distance for the marathon = 26 miles

Distance she add each day =2

She starts with 6 miles

Then,

Equation of nth term in the arithmetic sequence

[tex]t_{n}=a+(n-1)d[/tex]

Substitute the values and find the value of n

26=6+(n-1)2

26=6+2n-2

26=4+2n

2n=22

n=11

To find the total distance she run to achieve her 26 miles goal, we have to apply the sum of n terms of arithmetic sequence,

[tex]S=\frac{n}{2}[2a+(n-1)d]\\ S=\frac{11}{2}[2(6)+(11-1)2]\\ S=\frac{11}{2}[12+20]\\ S=\frac{11}{2}[32]\\ S=176[/tex]

If she starts with 6 miles today and add 2 miles each day to her distance until she achieves her goal and  then she has to run 176 miles in total to achieve her 26 miles goal.

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Answer:

Step-by-step explanation:

Using a proportional relationship, the costs are given as follows:

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

A proportional relationship may also involve multiple variables, as is the case in this problem, in which the cost is a function of the number of bags of popcorn p and the number of drinks d.

The constants are the prices of each product, hence the function for the total cost of p bags of popcorn and d drinks is given by:

C(p,d) = 3.35p + 4d.

Hence, for 3 bags and 8 drinks, the cost is:

C(3,8) = 3.35(3) + 4(8) = $42.05.

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Headphones that go over your ears can also damage your hearing if you use them too long or play music too loudly.

What is decibel explain with examples?

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