Is the result that you obtained in part F (with fractions) the same as the result you obtained in part H (with decimal numbers)? Explain.

Answer:

y = 2x +14

Step-by-step explanation:

2y - 4x = 10

=> 2y = 4x + 10

=> y = 2x + 5

          ↑ the slope of this equation

parallel lines have the same slope, thus, the equation in the 4 options must have the same slope: 2.

plug in point (-6, 2) & the slope "2" into the equation: y = ax + b   to find "b."

=> 2 = -6(2) + b

=> b = 14

plug in the slope "2" and the y-intercept(or b) "14" into the equation: y = ax + b

=> y = 2x +14

Answer:

Real numbers are all the rational numbers such as -7 and 4/3 and all irrational numbers. Real numbers are used mainly in counting and are used in measurement which is always present in real-world situations. These numbers help us to quantify things around.

Answer:

{y = 15/8 - (9 x)/8, y = -(7 x)/8 - 2}

{9 x + 8 y = 15, 7 x + 8 (y + 2) = 0}

Step-by-step explanation:

Answer:

$96

Step-by-step explanation:

If you doing ixl M.10 Multi-step problems with percents

i did this question and it's 96.hope this helps

Total cost of pay for the lunch will be $96.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The cost of lunch = $75

Sales tax = 8%

Tip = 20%

Now,

The cost on sales tax = 8% of $75

                                = 8/100 x 75

                               = $6

Thus, The cost on sales tax = $6

And, The cost for tip = 20% of $75          

                                = 20/100 x 75

                                = $15

Thus, The cost for tip = $15

So, Total cost to pay for lunch = $75 + $6 + $15

                                               = $96

Thus, Total cost of pay for the lunch will be $96.

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Answer:

D = +/- 12.041 units

Step-by-step explanation:

D =

[tex] \sqrt{} (x2 - x1) {}^{2} + (y2 - y1) {}^{2} [/tex]

[tex] \sqrt{} ( - 5 - 4) {}^{2} + (3 - ( - 5)) {}^{2} [/tex]

[tex] \sqrt{81 + 64} [/tex]

[tex] \sqrt{145} [/tex]

D = +/- 12.041 units

Answer:

The graph in the middle with points all around the place would be the answer.

Step-by-step explanation:

The result of the survey showed no correlation, so there would be no pattern or trend line in the graph. So it cannot be the 1st graph or the 3rd.

Answer: 1447600%

Step-by-step explanation: in order to convert number to percentage you’d have to multiply the given number by 100 and then add a percentage sign

Answer:

For example, slide ∠ 1 down the transversal and it will coincide with ∠2. are equal in measure. If two parallel lines are cut by a transversal, the corresponding angles are congruent. If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel.

Step-by-step explanation:

Answer:

12 gallons

Step-by-step explanation:

Total gallons = 16 gallons

Total distance = 460 miles

Fuel efficiency in the highway = 30 miles per gallon

Fuel efficiency in the city = 25 miles per gallon

Let

h = gallons of gasoline were used on the highway.

460 = 30h + 25(16 - h)

460 = 30h + 400 - 25h

460 - 400 = 30h - 25h

60 = 5h

h = 60/5

h = 12 gallons

12 gallons of gasoline were used on the highway.

Answer:

Angle MJK = 64°

Step-by-step explanation:

In ∆MJL & ∆LJK,

JL= JL ...(common side)

Angle JML = Angle JKL ....( each 90°)

MJ = JK ....( Both measures 7)

Hence, by SAS criteria, ∆ MJL = ∆ LJk

.°. by C.P.C.T , ∠MJL = ∠LJK = 32°

Also,

∠MJK = ∠MJL+∠LJK

∠MJK = 32°+32°

Answer:

Associative property of addition. Grouping different addends does not change the sum.

Step-by-step explanation:

5 + 2 + 3 = 5 + (2 + 3)

10 = 5 + (5)

10 = 10

Answer:

42

Step-by-step explanation:

as there two equal numbers of both 21 and 2 then the outcome will be just 21×2=42

Answer:

Hey!

Hope this helps you!

:)

Answer:

same bud

Step-by-step explanation:

Answer:

there is no gragh

Step-by-step explanation:

Answer:

the slope equals 2. otherwise known as the coefficient of x.

Answer:

Step-by-step explanation:

-10x+7(-6)=18

-10x-42=18

      +42 +42

___________

-10x/-10=60/-10

x= -6

Answer:

25

Step-by-step explanation:

To get this right, we need to get the correct formula for the volume of a cube.

Imagine this:

What is the area of a square? Easy ! Length of the edge times itself. You can imagine what this means as the edge if the we have one line E move straight along an E-long line, the path it made is the square.

Similarly to the cube. Imagine what can be a volume of a cube with edge E that has something to do with the edge?

That's right. A square with edge Emove vertically straight in a E-long line. So the correct volume should be the area of the square times the length of its edge. But the area of the square is already the edge times itself

In formula, if a cube has volume V and edge length E, we have the equation.

V = E×E×E

Answer:

A

Step-by-step explanation:

B is wrong because the big one has two curve

C is wrong because the smallest one is not in the same position

D is wrong because the middle line of the biggest one is than the middle line of the smallest one

Answer:

648 sq. in.

Step-by-step explanation:

The ratio of the flag is 1:18 and the question asks for the area of the flag.

To find the actual flag size, you got to multiply the width by 18.

Then you must multiply the length by 18.

A= LxW

A=36 x 18

A= 648 sq. in.

Therefore, the area of the actual flag is 648 sq. in.

Answer:

5⁶

Step-by-step explanation:

We have

[tex]5^4*\frac{5^8}{5^6}\\\frac{x^n}{x^y}=x^{n-y}\\\frac{5^8}{5^6}=5^{8-6}=5^2\\x^n*x^y=x^{n+y}\\5^4*5^2=5^6[/tex]

Answer: The correct answer would be F. Half the students drank from 78 to 114 fluid ounces.

Step-by-step explanation:

The statement best describes the data represented in the box plot half the students drank from 78 to 114 fluid ounces. The correct option is F.

A rectangle is created to represent the second and third quartiles, normally with a vertical line inside to indicate the median value, in a simple way of presenting statistical data on a plot.

Given that students recorded the amount of liquid in fluid Ounces each of them drank In one day. The box plot shows the summary of the results. Amount of Liquid (fluid Ounces).

The highest and the lowest limit of the box plot is range from 78 to 114. The statement best describes the data represented in the box plot half the students drank from 78 to 114 fluid ounces.

Therefore, the correct option for the box plot will be F.

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The average speed of the car for the given distance is 91.97 km/hr.

While both speed and velocity are indicators of how quickly an object is travelling, they serve different purposes. The distance travelled in a given amount of time, independent of direction, is referred to as speed, which is the magnitude of the velocity vector. In contrast, velocity is a vector quantity that accounts for both speed and direction. It is measured in units of distance per unit of time in a particular direction and is defined as the rate of change of position of an item with regard to a frame of reference.

Given that, a car started 35 minutes later that is it started after:

35 minutes = 35/60 = 0.5833 hours

Now the distance is given as:

distance = speed x time

Now, for speed = 65 km/hr:

distance = 65t

For the car the time is (t - 0.5833) thus:

distance = speed x time

130 = speed x (t - 0.5833)

Now for speed we have:

30 = s x (t - 0.5833)

130 = st - 0.5833s

130 + 0.5833s = st

130/s + 0.5833 = t

Now, substituting the value of t in the equation of the van we have:

distance = 65t

distance = 65(130/s + 0.5833)

130/s + 0.5833 = distance/65

130/s + 0.5833 = distance/65

130/s + 0.5833 = 130/65

130/s + 0.5833 = 2

s = 91.97km/hr

Hence, the average speed of the car for the given distance is 91.97 km/hr.

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Answer:

To find the area break up the shapes:

The rectangle is A = bh which is 7*3 which is 21.

Triangle: A = 1/2(bh)

A=1/2(3*7)

A=1/2(21)

A=10.5

Now add up the areas:

21+10.5

=

31.5

The answer is 31.5 units.

Answer:

x^2+y^2 = 49

Step-by-step explanation:

This is a circle.

The generic equation of a circle is

(x-h)^2+ (y-k)^2 = r^2

where (h,k) is the center and r is the radius

The center of the circle is at the origin which is (0,0)

The radius is 7

(x-0)^2+(y-0)^2 = 7^2

x^2+y^2 = 49

Answer:

[tex] \displaystyle {x}^{2} + {y}^{2} = 49[/tex]

Step-by-step explanation:

we are given a circle

we want to figure out the equation of the circle

remember that,

[tex] \rm \displaystyle E _{c} : (x - {h)}^{2} + (y - k {)}^{2} = {r}^{2} [/tex]

(h,k) are the centre of the circle

we can clearly see that the centre of the circle is (0,0) and the redious is 7 units

thus substitute:

[tex] \displaystyle (x - {0)}^{2} + (y - 0{)}^{2} = {7}^{2} [/tex]

further simplification is needed:

[tex] \displaystyle {x}^{2} + {y}^{2} = 49[/tex]

and we are done!

Answer:

D

Step-by-step explanation:

According to the associative property of addition, you can put the parentheses anywhere you like. This is the only one that works.

Answer:

a part

Step-by-step explanation:

Answer is attached....

Hope it helps:)

Answer:

a because i said so trust me

Step-by-step explanation:

Answer:

The number of students that the club needs is at least 8

Step-by-step explanation:

The club would at least need 8 people.Add 15 and 8 together and you get 23.More people would be better but all the club really needs is 8.