find the equation of the line that contains the given point and the given slope. Write the equation in slope-intercept form.
1. (4.1) slope = 6

2. (6,-3) slope= -5

3. (-8, 2) slope = -1/2

4. (-7,-1) slope = 0

Answer:

a

Step-by-step explanation:

78.2% means that out of 100, 78.2 DO study. 100-78.2 gives you the amount of students that dont study (including me lol) which comes out to 21.8 . so since 21.8 out of 100 dont study, you can divide 21.8/100, and get your answer.

the answer is a

Answer:

It is yes the similarity ratio is 3:4.

Step-by-step explanation:

Answer:

Option 2 is correct that is NO ; The triangles are not similar.

Step-by-step explanation:

Given: Measurements of the sides of triangle.

Say sides of triangle 1 = 3 , 5 , 6

Sides of triangle 2 = 4 , 6 , 8

We have to find if triangles are similar or not and if they are similar then to find their ratio.

Since, We are given with only sides of the triangle.

Then if they are similar then they will be by Side-Side-Side similarity criteria.

Here, Two triangles are said to be similar by Side-Side-Side Criteria if ratio of their sides are equal.

But clearly from given values , all ratios are not equal.

[tex]\frac{3}{4}=\frac{6}{8}\neq\frac{5}{6}[/tex]

Or

[tex]\frac{3}{6}\neq\frac{5}{8}\neq\frac{6}{4}[/tex]

No possible pair give equal ratio.

Therefore, Option 2 is correct that is NO ; The triangles are not similar.

ANSWER TO QUESTION 7

Independent Variable: Number of Chairs Painted(p)

Dependent Variable: Paint Left(L)

To represent the relationship using a graph, we draw two perpendicular axis, wth Number of Chairs Painted(p) on the horizontal axis, and Paint Left(L) on the vertical axis.

Then we plot the points

[tex](0,\:\:128)[/tex], [tex](1,\:\:98)[/tex], [tex](2,\:\:68)[/tex], [tex](3,\:\:38)[/tex].

Using a straight edge, we draw a straight line through the points as shown in the diagram attached.

From the graph the slope is given by

[tex]Slope=\frac{60}{-2}=-30[/tex]

and the y-intercept is

[tex]c=128[/tex]

The equation is given by

[tex]L=mp +c[/tex]

That is

[tex]L=-30p +128[/tex]

In words, Paint level is reducing at a rate of [tex]30[/tex]oz

ANSWER TO QUESTION 8

Independent Variable: Number of snacks purchased(s)

Dependent Variable: Total Cost(c)

To represent the relationship using a graph, we draw two perpendicular axis, with Number of snacks purchased(s) on the horizontal axis, and Total Cost(c) on the vertical axis.

Then we plot the points

[tex](0,\:\:18)[/tex], [tex](1,\:\:21)[/tex], [tex](2,\:\:24)[/tex], [tex](3,\:\:27)[/tex].

Using a straight edge, we draw a straight line through the points as shown in the diagram attached.

From the graph the slope is given by

[tex]Slope=\frac{3}{1}=3[/tex]

and the y-intercept is

[tex]c=18[/tex]

The equation is given by

[tex]C(s)=ms +c[/tex]

That is

[tex]C(s)=3s +18[/tex]

In words, the Total cost increases is reducing at a unit rate of [tex]3[/tex]

ANSWER TO QUESTION 9

Independent Variable: Number of flight of stairs climbed(n)

Dependent Variable:Elevation (ft above sea level),E

To represent the relationship using a graph, we draw two perpendicular axis, with Number of flight of stairs climbed(n) on the horizontal axis, and Elevation (ft above sea level),(E) on the vertical axis.

Then we plot the points

[tex](0,\:\:311)[/tex], [tex](1,\:\:326)[/tex], [tex](2,\:\:341)[/tex], [tex](3,\:\:356)[/tex].

Using a straight edge, we draw a straight line through the points as shown in the diagram attached.

From the graph the slope is given by

[tex]Slope=\frac{15}{1}=15[/tex]

and the y-intercept is

[tex]c=311[/tex]

The equation is given by

[tex]E(n)=mn +c[/tex]

That is

[tex]E(n)=15n +311[/tex]

In words, the unit rate of rising above sea level is [tex]15[/tex]

Find out how many feet are in a yard.

3 feet = 1 yard

Find out how many inches are in a yard

3×12=36

Find out how many yards are in 2000 inches.

2000÷36=55.5

55.5 ≈ 56

The answer would be C) 56 yards

we know that

If DF is parallel to GH

then

the measure of the angle EGH must be equal to 70° by corresponding angles

so

Find the measure of the angle EGH

In the triangle EGH

the sum of the internal angles must be equal to 180 degrees

42°+68°+∠EGH=180°

solve for ∠EGH

∠EGH=180-(42+68)

∠EGH=180-110

∠EGH=70°

therefore

The lines DF and GH are parallel

To find the total length of ribbon Carol, Tino, and Baxter have, first convert each length into the same unit. The total length of ribbon is 306 inches, 25.5 feet, or 8.5 yards when combining all their ribbons.

The lengths of ribbon that Carol, Tino, and Baxter have must be expressed in the same unit to find the total length. We will convert all lengths into inches, feet, and yards.

Carol's ribbon: 90 inches

Tino's ribbon: 13.5 feet × 12 inches/foot = 162 inches

Baxter's ribbon: 1.5 yards × 3 feet/yard = 4.5 feet then 4.5 feet × 12 inches/foot = 54 inches

Total Length in Inches:

90 + 162 + 54 = 306 inches

Total Length in Feet:

306 inches ÷ 12 inches/foot = 25.5 feet

Total Length in Yards:

25.5 feet ÷ 3 feet/yard = 8.5 yards

Now we have the total length of ribbon in all three units: inches, feet, and yards.

A handy conversion to remember is that 60 mph equals 88 feet per second.

Therefore, 50 mph will be (5/6) of 88 feet per second or 73.3333333333 feet per second.

bugs eaten this month = bugs eaten last month plus 25% of last month

                                   x =                 88                    +   .25     x      88

x = 88 + 88(.25)

  = 88 + 22

   = 110

Answer: 110 bugs

The number is = 92776

Explanation:

my nine is worth 9 x 10000 , this gives-

[tex]9\times10000=90000[/tex]

my two it's worth 2001 =2 (thousandth place)

sevens is worth 70(tens place) the other is worth 10 times (hundredth place) = 77

my other digit is at 6 =6

Hence, 92776

A. The measures of two angles have a sum of 180º if and only if the angles are supplements.

the angles must be supplementary to equal 180

519/6=86.5

915/7=130.7142

439/7=62.7142

812/9=90.2222

so i think its the 1st on but i may be wrong.

In the given sets of divisions, 812 divided by 9 is the one that does not yield a three-digit quotient when considering only whole numbers. All other division operations yield a three-digit quotient.

Let's start by dividing each number step by step. When we divide 519 by 6, we get 86.5, and when we divide 915 by 7, we get 130.71428571428572. Next, when we divide 439 by 7, we get 62.714285714285715, and finally when we divide 812 by 9, we get 90.22222222222223.

In this case, a quotient is the result obtained from division. We're asked to identify the operation which does not yield a two-digit quotient. Here, all the separate division operations give us a quotient that is a numerical value with more than two digits. However, when you consider whole numbers only, 812 divided by 9 gives us a two-digit quotient (90), while all other division operation results are three-digit numbers.

https://brainly.com/question/2273245

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Answer:

1.25 ounces

Step-by-step explanation:

Answer:  The required number of ounces that he can buy with $1 is 1.25.

Step-by-step explanation:  Given that Jackson bought 5 ounces of raisins for $4.

We are to find the number of ounces of raisins that he can buy with $1.

We will be using the UNITARY method to solve the problem.

We have

Number of ounces of raisins that can be bought with $4 = 5.

Therefore, the number of ounces of raisins that can be bought with $1 is given by

[tex]\dfrac{5}{4}=1.25.[/tex]

Thus, the required number of ounces that he can buy with $1 is 1.25.

a.9 kg 3hg 1cg x 9 =243^3hc

b. 11dg 4cg x 12=528dg^2c

c. 10g  5dg x 6= 300g^2

d.  480g^3dc

-i hope this helps

Answer:

a. 8370009 cg

b. 1368 cg

c. 630 dg

d. 4272 cg

Step-by-step explanation:

Since, 1 kg = 100000 cg,

1 hg = 10,000 cg,

1 dg = 10 cg,

1 g = 10 dg,

1 g = 100 cg,

a. So, 9kg 3hg 1cg × 9 = (900000+30000+1) × 9  = 930001 × 9 = 8370009 cg,

b. 11dg 4cg × 12 = (110 + 4) × 12 = 114 × 12 = 1368 cg,

c. 10g 5dg × 6 = ( 100 + 5 ) × 6  = 105 × 6 = 630 dg,

d. 5g 3dg 4cg × 8 = ( 500 + 30 + 4) × 8 = 534 × 8 = 4272 cg

For this case we have:

You lose 180 calories by walking 30min, that is:

180cal ---------> 30min

If to lose 1 pound of fat, the person should burn 3500 calories, to lose 2 pounds should burn twice the calories, that is, 7000 calories.

You want to know how long it takes to burn 7000 calories, knowing that they burn 180 in 30min. So:

180cal ---------> 30min

7000cal -------> x

Where x represents the time that must be used to burn the 7000 calories.

Resolving we have:

[tex]x = \frac{(7000cal * 30min)}{180cal}\\[/tex]

[tex]x = 1166.7min\\[/tex]

If 1h has 60min, then:

[tex]x = \frac{ (1166.7min * 1h)}{60min}\\[/tex]

[tex]x = 19.44h\\\\x = (19h + 0.44h)\\[/tex]

0.44h equals [tex]0.44 * 60min = 26.4min\\[/tex]

Thus, for the person to burn 7000 calories and lose 2 pounds, he must walk [tex]x = 19h + 26.4min[/tex].

Answer:

[tex]x = 19h + 26.4min\\[/tex]

Option C.

[tex]2x^2+6x-10=x^2+6\qquad\text{subtract}\ x^2\ \text{and 6 from both sides}\\\\x^2+6x-16=0\\\\x^2+8x-2x-16=0\\\\x(x+8)-2(x+8)=0\\\\(x+8)(x-2)=0\iff x+8=0\ \vee\ x-2=0\\\\x+8=0\qquad\text{subtract 8 from both sides}\\\boxed{x=-8}\\\\x-2=0\qquad\text{add 2 to both sides}\\\boxed{x=2}\\\\Answer:\ \boxed{B.\ -8\ and\ C.\ 2}[/tex]

This answer is

[tex]24 * 10^4[/tex]

In power of ten notation, exponent tells us that how many times 10 is to be multiplied by itself to equal the number we wish to write. So we can write the above scenario as follows:

[tex]240,000 * 10^0[/tex]

[tex]240, 00 * 10^1[/tex]

[tex]240, 0 * 10^2[/tex]

[tex]240 * 10^3[/tex]

[tex]24 * 10^4[/tex]

So, the 10 will be multiply 4 times with 24 to get the same answer as 240,000

The answer is [tex]24 * 10^4[/tex]

Answer with explanation:

Width of the field = w  feet

As, given length of rectangular field is 40 feet more than twice the width.

Length of Soccer field = (2 w + 40) feet

Area of Rectangular field = Length × Breadth

                                          = w × (2 w+40)  square feet

                                       A =2 w² +40 w

First Blank =2

Second Blank = 40

Answer:

77.5

Step-by-step explanation:

in this excercise the average is 4 months (January, Febuary, March, April)

the average rate is:

[tex]\frac{1450-1140}{4} =\frac{310}{4} = 77.5[/tex]

Answer:

its d 44.04

Step-by-step explanation:

Answer:

The given equation is

⇒y≥[tex]\frac{1}{3x-2}[/tex]

As domain of the function is 3 x-2≠0

             x≠2/3

⇒For different values of x we get different values of y.

When,  x>2/3 , we get positive values of y.

So , y≥ 0

and  when x< 2/3 , we get values of y which are negative.

i.e y≤0

At x=2/3, function is not defined.So at that point there does not exist any value of y.

Answer:

 w = 2, EF = 30 , FG = 42

Explanation:

We have EF = 5w + 20  and FG = 7w + 28

 Since these points E, F and G are col-linear points we have.

    EG = EF + FG

  And given that EG = 72

So, EF+EG = 72

     5w + 20 + 7w + 28 = 72

     12w + 48 = 72

      12 w = 24

       w = 2

So EF = 5w + 20 = 5x2 + 20 = 30

     FG = 7w + 28 = 7x2 + 28 = 42