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Answer:

The lines coincide

The slopes are equal

The y-intercepts are equal

The system has an infinite amount of solutions

Step-by-step explanation:

If you convert both equations into slope-intercept form, you will be able to see that both are y = 5/2x -3. When both lines are the same, it means that they are the same line and they have an infinite amount of solution. If they are the same line, it also means their slopes and y-intercepts are same as well. Thus, you have your derived answer.

Answer:

A.

C.

D.

E.

Step-by-step explanation:

Answer:

12.12%

Step-by-step explanation:

ORIGINAL VALUE=£99

NEW VALUE=£111

CHANGE IN AMOUNT=111-99=12

Here there is percentage increase.

Therefore, Percentage Increase

=(Change in amount/Original Value)*100=(12/99)*100=12.12%

Answer:

1/2

Step-by-step explanation:

3/4-5/16

Taking LCM

3✖️4/4✖️4-5/16

12/16-4/16

8/16

1/2

I hope this will help you

Answer:

Range { -8,-3,5,7}

Step-by-step explanation:

The range of the function is the output values

Range { -8,-3,5,7}

Answer:

D

Step-by-step explanation:

8, -3, 5, 7

List of all possible outputs

Answer:

1056

Step-by-step explanation:

Find the area of each square and add them to find the area of the rectangle

The area of a square = side * side

The areas are:

1*1= 1

4*4 = 16

7*7 = 49

8*8 = 64

9*9 = 81

10*10 = 100

14*14 = 196

15*15 = 225

18*18 = 324

The sum of the areas =

324+225+196+100+81+64+49+16+1

= 1056 units ^2

Answer:

1056

Step-by-step explanation:

just add all the area of all square

1² + 4² + 7² + 8² + 9² + 10² +14² +15² + 18² =

1 + 16 + 49 + 64 + 81 + 100 + 196 + 225 + 324 = 1056

or for simple just add two biggest one as the sides of Moron reactangle

15+18 = 33 and 18+14 = 32

the the area should be 32 x 33 = 1056

Answer:

x = -9

-9s abosolute value is 9 and 9-14 = -5

Answer:

The answer is -9.

Step-by-step explanation:

|x|-14=-5

|x| = +14-5

|x| = -9

------------------------------------------

|-9|-14=5

|9|-14=5

Answer:

Complete the statements about the system of linear equations represented by the tables.

The equation representing the left table is

✔ y = 1.5x – 6

The equation representing the right table is

✔ y = –4x + 6.1

The solution to the system of equations is

✔ (2.2, –2.7)

The statements  about the system of linear equations represented by the tables should be described below:

Find out more information about the  equation here:

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Answer:

40

Step-by-step explanation:

To work this out you have to go backwards and do the inverse.

4*25=100

100-20=80

80/2=40

Answer:

words per minute!

Step-by-step explanation:

Answer:

48 degrees

Step-by-step explanation:

Angle 2 is a right angle.

Right angles are 90 degrees.

A line is 180 degrees.

Angle 1, 5, and 2 form a line.

180-90=90

That means that Angles 1 and 5 add up to 90 degrees.

We know that Angle 3 is 42 degrees.

Angle 3 and 5 are Vertical angles.

Vertical angles are always congruent.

This means that Angle 5 is also 42 degrees.

As we discussed earlier, Angles 1 and 5 are complementary. (Add up to 90 degrees)

42+x=90

Subtract 42 from both sides.

x=48

m<1=48

Answer:

It is 48 degrees because I took the test

Step-by-step explanation:

Answer:

A. = 20 in²

B. =  45 ft²

C. = 29.5 ft²

D. = 36 ft²

E. = 28 ft²

Step-by-step explanation:

A. Formula = A = (h_b b)/2 = base 10 ft height_b= 4ft = 20 ft²

B. We have a rectagnle and a triangle:  Formula: A = lw

=  A = 30 ft² and now the triangle with the same formula as above: A = 15 ft²

30 ft²+15 ft² = 45 ft²

C. we have 2 rectagnle and a triangle: First the small recangle: A= lw = A = 1ft x 2ft = 2ft²

Second rectangle: 5 ft x 4 ft = 20 ft²

Right angeled triangle Formula: (ab)/2 = 3 ft x 5 ft = 7.5 ft²

Add it all together:  2ft²+20ft²+7.5ft² = 29.5 ft²

D. is a rectangle and a triangle: 8 ft x 3 ft = 24ft²

the triangle 8 ft x 2ft = 12 ft²; add 24 ft²+12 ft² = 36ft²

E. is a right-angled triangle (see fromula above) =  (14 ft x 4 ft)/2 = 28ft²

Answer:

B and E are the correct answers.

Step-by-step explanation:

By using the slope formula of y₂₋y₁ / x₂₋x₁ you can find out that the slope is ₋7/4.

Next pick a point to put into point-slope form.

Point-slope form is y₋y₁ = m(x₋x₁) where y₁ and x₁ are a point on the graph and m is the slope.

Substitute both points into the formula (separately) to get B and E as your answers.

Hope this helps!

Answer:

7.9% reduction.

Step-by-step explanation:

Kerrin's initial weight can be calculated by 13(14)+7=189 pounds.

Three months later he weighs 12(14)+6=174 pounds.

The difference between 189 and 174 is 15 pounds.

[tex]\frac{15}{189}[/tex]≈.0793651 or 7.9%.

Answer:

Standard deviation  for the number of people with the genetic mutation = 4.178

Step-by-step explanation:

Explanation:-

Given random sample size 'n' =600

proportion of the Population 'p'=3% or  0.03

Let 'X' be the random variable in binomial distribution

Mean of the  binomial distribution

                              μ = n p

                                 = 600 X 0.03

                                = 18

Mean of the  binomial distribution ' μ ' =18

Standard deviation of the binomial distribution

                                σ = [tex]\sqrt{npq} = \sqrt{600 X 0.03 X 0.97} = \sqrt{17.46} = 4.178[/tex]

Conclusion:-

Standard deviation  for the number of people with the genetic mutation = 4.178

Answer:

The rate at which Paul sold is 5 bags an hour.

The rate at which Jake sold is 3 bags an hour.

Paul sold more.

Answer:

≈ 3.22% increase

≈ 9878813

≈ 4.19% decrease

Step-by-step explanation:

1. Population change from 53,594,378 to 55,317,240

Population has grown as number increased over time

Change%= (55,317,240- 53,594,378)/53,594,378*100% ≈ 3.22%

2. Population change from 9,938,444 by 0.6% drop

Population in 2010= 9,938,444*(100-0.6)/100 ≈ 9878813

3. Population change from 219,773 to 210,565

Population shrink indicated as number decreased over time

Change%= (219,773- 210,565)/219,773*100% ≈ 4.19%

Answer:

Step-by-step explanation:

2. 0.6 / 100 = 0.006  

Then, multiply the number of people living in Michigan in 2000 by the number of people decreased (the percentage decrease) in 2010

9,938,444 x 0.006 = 59630.664

Last, subtract the percentage decrease by the original population in 2000

9,938,444 – 59630.664 = 9,878,813

In 2010 the approximate population in Michigan was about 9,878,813 (to the nearest whole person)

3. Dividing 219,773 by the difference in the population between 2000 & 2010 which is 9,208  = 23.86762%

Answer:

B

Step-by-step explanation:

5x² - 3 - (x² - 4x - 8)

5x² - 3 - x² + 4x + 8

4x² + 4x + 5

Step-by-step explanation:

because we know that both of these parts have to do with right triangles, we know that we can use the Pythagorean theorem.

since q is the right angle, you know that any line segment with q is a leg of the triangle

A.)

a^2 + b^2 = c^2 (add in values)

8^2 + 15^2 = c^2  (a=pq and b=qr) SIMPLIFY

64 + 225 = 289 (add)

find the square root of 289 = 17 so pr = 17

B.

This time we are using one leg (pq) and the hypotenuse (pr) to find the other leg

a^2 + b^2 = c^2 (sub the numbers in)

a^2 + 8^2 = 10^2 (simplify)

a^2 + 64 = 100 (subtract 64 on both sides)

a^2 = 36

the square root of 36 is 6 so qr = 6

Answer

100 pie m^2

Step-by-step explanation:

Answer:

[tex]100 \pi \: m^2[/tex]

Step-by-step explanation:

The area of a circle is [tex]\pi r^2[/tex].

The diameter is 20m, the radius is half of the diameter, so the radius will be 10m.

[tex]\pi \times 10^2[/tex]

[tex]\pi \times 100[/tex]

The area should be in terms of [tex]\pi[/tex], so the final answer will be:

[tex]100 \pi \: m^2[/tex]

Answer:

Step-by-step explanation:

[tex]3^3 = 27[/tex]

[tex]4^3 = 64[/tex]

[tex]3^4 = 81[/tex]

Answer:

3.61 Units

Step-by-step explanation:

Answer:

D = 3.6

Step-by-step explanation:

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

D = [tex]\sqrt{(7-5)^2+(2-5)^2}[/tex]

D = [tex]\sqrt{(2)^2+(-3)^2}[/tex]

D = [tex]\sqrt{4+9}[/tex]

D = [tex]\sqrt{13}[/tex]

D = 3.6

Answer:

62.363°

Step-by-step explanation:

The decimal form of degree is 62.363°.

Geographic coordinates for latitude and longitude can be expressed as decimal fractions of a degree using the notation decimal degrees (DD). Many geographic information systems (GIS), web mapping tools like OpenStreetMap, and GPS units all employ DD.

Latitudes that are positive are north of the equator and those that are negative are south of the equator. Longitudes that are positive are east of the Prime Meridian and those that are negative are west of the Prime Meridian.

Given 62°21'47"

A DMS value is converted to decimal degrees using the formula:

[tex]{\displaystyle \mathrm {D} _{\text{dec}}=\mathrm {D} +{\frac {\mathrm {M} }{60}}+{\frac {\mathrm {S} }{3600}}}[/tex]

D = 62°

M = 21'

S = 47"

substitute the values,

[tex]{\displaystyle \mathrm {D} _{\text{dec}}[/tex] = 62 + 21/60 + 47/3600

[tex]{\displaystyle \mathrm {D} _{\text{dec}}[/tex] = 62 + 0.35 + 0.01305

[tex]{\displaystyle \mathrm {D} _{\text{dec}}[/tex] = 62.3630

[tex]{\displaystyle \mathrm {D} _{\text{dec}}[/tex] = 62.363°

Hence the decimal form is 62.363°.

Learn more about decimal degrees;

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Answer:

5, 13, 10, 8

Step-by-step explanation:

hello, so for this question keep in mind the triangle inequality theorem which states- a side must be smaller than the sum of the other two sides.

go through each of the choices.

a. 5+7=12 12>9

b.2+7=9 9>9 this cant be the answer since 9 is equal to nine, not greater than,

c. 13+7=20 20>9

d.10+7=17 17>9

e.8+7=15 15>9

f.22+7=29 29>9 although 29 is greater than 9, we also have to keep in mind that the other 2 sides must also be greater than the other side. so try 7+9= 16. 16 isnt greater than 22 so it can’t be one of the answers.

hope this helped :)

Answer:

x + y=6 ........ 1

x= y + 2 ........ 2

Substitute x= y + 2 into x + y=6

y + y + 2 = 6

2y = 6 - 2

2y = 4

Divide both sides by 2

y = 2

Substitute y = 2 into x + y=6

x + 2 = 6

x = 6 - 2

x = 4

y = 2 x = 4

hope this helps.

Answer:

(4,2)

Step-by-step explanation:

x + y=6

x= y + 2​

Substitute the second equation into the first

x+y = 6

(y+2) +y =6

Combine like terms

2y+2 = 6

Subtract 2

2y+2-2 = 6-2

2y = 4

Divide by 2

2y/2 = 4/2

y =2

Now find x

x = y+2

x = 2+2

x=4

(4,2)

Answer:

D =275 miles

Step-by-step explanation:

The rate is 55 miles per hour and the time is 5 hours

D = RT

D = 55*5

D =275 miles

Answer:

C. 275 miles

Step-by-step explanation:

D = RT

We have R and T already, so

Step 1: Replace variables

D = (55mph)(5 hours)

Step 2: Solve

D = 275 miles

And we have our answer!

Answer:25000 because 1 m is equal to 1000mm

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Hey there! :)

Answer:

The 2nd choice.

Step-by-step explanation:

Begin by solving the inequality |g + 2| > 3. There is a negative and positive solution:

g + 2 > 3

g > 1

-(g + 2) > 3

-g - 2 > 3

-g > 5

g < -5

Therefore, the number-line showing solutions LESS THAN -5 and GREATER THAN 1 is the 2nd choice.

**Remember, for '<' and '>' signs without the EQUAL TO, the points are open circles.

Answer:

B)

Step-by-step explanation:

correct on edge test ✅