Solve the inequality and enter your solution as an inequality comparing the variable to the solution in the box below. 18 + x > 42Solve the inequality and enter your solution as an inequality comparing the variable to the solution in the box below. 18 + x > 42

Answer:

This system of linear equations represents parallel lines.

The system of equation 1 and the equation 20y = 12x + 88 represents coincidental  lines

Step-by-step explanation:

-3x + 5y = 22 (equation 1)

Lets solve the equation for y

Add 3x on both sides

5y= 3x+22

Now divide by 5 on both sides

[tex]y=\frac{3x}{5}+ \frac{22}{5}[/tex]

Slope of equation 1 is [tex]\frac{3}{5}[/tex]

20y − 11 = 12x (equation 2)

solve for y

Add 11 on both sides

20y = 12x + 11

Divide by 20 on both sides

[tex]y=\frac{12x}{20}+ \frac{11}{20}[/tex]

simplify the fraction

[tex]y=\frac{3x}{5}+ \frac{11}{20}[/tex]

Slope of equation 2 is [tex]\frac{3}{5}[/tex]

Slope of equation 1  and equation 2  are same , so the lines are parallel

This system of linear equations represents parallel lines.

-3x + 5y = 22 (equation 1) and 20y = 12x + 88

Solve both equations for y

-3x + 5y = 22 (equation 1)

[tex]y=\frac{3x}{5}+ \frac{22}{5}[/tex]

Slope of equation 1 is [tex]\frac{3}{5}[/tex] and y intercept is 22/5

20y = 12x + 88

Divide by 20 on both sides and simplify the fraction

[tex]y=\frac{3x}{5}+ \frac{22}{5}[/tex]

Slope of 20y=12x+88 is [tex]\frac{3}{5}[/tex] and y intercept is 22/5

Slope and y intercepts are same so the lines are coincidental

The system of equation 1 and the equation 20y = 12x + 88 represents coincidental  lines

Answer:

m ≤ 27  or m > 11

m is all real number since we have the or

Step-by-step explanation:

m − 11 ≤ 16 or 15 − 2m < −7

Lets solve the one on the left first

m − 11 ≤ 16

Add 11 to each side

m-11+11 ≤ 16 +11

m ≤ 27

Now lets solve the one on the right

15 − 2m < −7

Subtract 15 from each side

15 −15- 2m < −7 -15

-2m < -22

Divide by -2, remembering to flip the inequality

-2m/-2 > -22/-2

m > 11

Answer:

1 1/4 mph

Step-by-step explanation:

Distance = rate x time

1/2 mile = R x 2/5 hour

1/2=2/5R

/2/5 /2/5

R=1/2 x 5/2

R=1 1/4

I hope this helps :)

Answer:

[tex]y=-\frac{7}{18}x^2+\frac{41}{18}x+\frac{64}{9}[/tex]

Step-by-step explanation:

We need to write a quadratic equation so we can use standard quadratic equation:

[tex]y=ax^2+bx+c[/tex]

Plug the given points to get three equations.

for (7,4), we plug x=7 and y=4

[tex]4=a(7)^2+b(7)+c[/tex]

[tex]4=49a+7b+c[/tex] ...(i)

similarly using other two points, we get:

[tex]1=4a-2b+c[/tex] ...(ii)

[tex]9=a+b+c[/tex] ...(iii)

Now we solve those three equations by any method like substitution, or matrices or by any method and get:

[tex]a=-\frac{7}{18},\ b=\frac{41}{18},\ c=\frac{64}{9}[/tex]

Now plug these values into [tex]y=ax^2+bx+c[/tex], we get final equation as:

[tex]y=-\frac{7}{18}x^2+\frac{41}{18}x+\frac{64}{9}[/tex]

Answer:

The limit does not exist

Step-by-step explanation:

lim as we approach from below 7

x+5 when x=7  

7+5

12

lim as we approach from above 7

5x-25 when x=7  

5*7 -25

35-25

10

The limit does not exist since these numbers are not the same

Answer:

Limit [tex]7^{-}[/tex] (left hand side limit) is 12

Limit [tex]7^{+}[/tex] (right hand side limit) is 10

Limit at 7 DOES NOT EXIST

Step-by-step explanation:

Limit [tex]7^{-}[/tex]:

When we want to find limit of left side of 7, we take the first part of the function shown (since its defined for [tex]x\leq7[/tex]).

We check values very close to 7 but less than it:

So the limit is approaching 12.

Thus, left hand side limit is 12.

Limit [tex]7^{+}[/tex]:

When we want to find limit of right side of 7, we take the second part of the function shown (since its defined for [tex]x>7[/tex]).

We check values very close to 7 but greater than it:

So the limit is approaching 10.

Thus, right hand side limit is 10.

Limit at 7:

If both right hand side limit and left hand side limit equal, then the limit at that specific number exists and is equal to it.

Since we see that the left hand limit (12) and the right hand limit (10) ARE NOT EQUAL, so we conclude that the limit at 7 for the function given DOES NOT EXIST.

Answer: B) x = -3

Every point on this line has one thing in common: the x coordinate is -3. This is why x is fixed at -3, so we simply say the equation is x = -3

Some example points on this line are (-3,10) and (-3,2)

The y coordinate can be anything you want, so that is why it doesn't show up at all (because it doesn't affect how x will turn out).

Answer:

1/9

Step-by-step explanation:

1/3 ÷ 3 is the set-up for the problem we are trying to solve.

Remember when we divide fractions we multiply by the reciprocal. So we have:

1/3 × 1/3 since the reciprocal of 3/1 is 1/3

Multiplying 1/3 x 1/3 we find the product is 1/9

Therefore, each person would receive 1/9 of the watermelon

Answer:

Point R = 8

Step-by-step explanation:

-2.5 r = -20

The solution to this equation is represented by a number line

In the given equation we have only the variable 'r'

We will get the value of 'r' while solving the above equation

That 'r' value is the solution point R on number line

[tex]-2.5r = -20[/tex]

divide by -2.5 on both sides

[tex]r=\frac{-20}{-2.5}[/tex]

r= 8 is our solution

Answer:

2.  x=-2  y= 2

3. x=3 y=0

Step-by-step explanation:

-2x - 3 y = -2

y = 2x + 6

The first step is to get x and y on the same side

Take the second equation and subtract 2x from each side

-2x+ y = 2x-2x + 6

-2x+y = 6

Multiply this by -1

-1(-2x+y) =-1*6

2x -y =-6

Add this to the first equation  to eliminate x

-2x - 3 y = -2

2x -y =-6

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

-4y = -8

Divide by -4

-4y/-4 = -8/-4

y =2

Now we need to find x

y = 2x + 6

Substituting in y=2

2 = 2x+6

Subtract 6 from each side

2-6 = 2x+6-6

-4 = 2x

Divide by 2

-4/2 = 2x/2

-2 =x

3) -x - 18 y = -3

7x - 9 y = 21

We will eliminate by by multiplying the second equation by -2

-2(7x - 9 y) = -2*21

-14x + 18y = -42

Now we will add this to the first equation

-x - 18 y = -3

-14x + 18y = -42

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

-15x    = -45

Divide by -15

-15x/-15 = -45/-15

x =3

We still need to solve for y

-x -18y = -3

Substituting in x =3

-3 -18y = -3

Add 3 to each side

-3+3 -18y =-3+3

-18y =0

Divide by -18

y= 0

Answer:

you would divide 28 by 8 and get 3.5. so around 3:30 per song

Step-by-step explanation:

Answer:

Step-by-step explanation:28÷8=3.5 , each song is 3 and a half minutes long

Answer:

11 3/8 watts

Step-by-step explanation:

1 7/8 converts to 1.875

4 3/4 converts to 4.75

4.75 * 2 = 9.5

9.5 + 1.875 = 11.375

11.375 converts to 91/8 or 11 3/8

Answer:

Step-by-step explanation:

Alright, lets get started.

Suppose one side of the kite is x

One side of a kite is 5 cm less than 2 times the length of another.

So, another side of the kite will be = [tex]2x-5[/tex]

So, the all 4 sides of the kite will be x, x , 2x-5 and 2x-5

The perimeter of the kite will be = [tex]x+x+2x-5+2x-5=6x-10[/tex]

As per given in question, perimeter is 14, so

[tex]6x-10=14[/tex]

Adding 10 in both sides

[tex]6x=24[/tex]

Dividing 6 in both sides

[tex]x=4[/tex]

So, another side is [tex]2*4-5=3[/tex]

So, the sides are 4 cms and 3 cms   :   Answer D

Hope it will help :)

Answer:

D) 4 cm, 3 cm  

Step-by-step explanation:  

Since we know that kite is made of two sets of equal sides.

Let x be the length of one of equal sides and y be length of another side of equal sides.      

We have been given that one side of a kite is 5 cm less than 2 times the length of another. We can represent this information as:

[tex]x+5=2y...(1)[/tex]

We are also told that the perimeter is 14 cm. We can represent this information as:

[tex]2(x+y)=14...(2)[/tex]

From equation (1) we will get,

[tex]x=2y-5[/tex]

Substituting this value in equation (2) we will get,

[tex]2(2y-5+y)=14[/tex]

[tex]2(3y-5)=14[/tex]

[tex]6y-10=14[/tex]

[tex]6y-10+10=14+10[/tex]

[tex]6y=24[/tex]

[tex]y=\frac{24}{6}[/tex]

[tex]y=4[/tex]

Therefore, length of one side of kite is 4 cm.  

Upon substituting y=4 in equation (1) we will get,

[tex]x+5=2*4[/tex]

[tex]x+5=8[/tex]

[tex]x+5-5=8-5[/tex]

[tex]x=3[/tex]

Therefore, the length of another side of kite is 3 cm and option D is the correct choice.

Answer:

Final answer is y=3x-2.

Step-by-step explanation:

We have been given a graph and using that graph we need to find the equation of line.

Equation of line is given by formula y=mx+b

Where b is the y-intercept.

We see that graph crosses y-axis at (0,-2) so that means b=-2

Now plug b=-2 into formula y=mx+b. We get:

y=mx-2 ...(i)

Now find any point from the graph say (1,1) and plug into (i) to find value of slope m

1=m*1-2

1=m-2

1+2=m

3=m

Now plug m=3 into (i). We get:

y=3x-2

Hence final answer is y=3x-2.

Answer:

130 m

Step-by-step explanation:

Let surface of ocean be at 0 feet (sea level)

The distance from albatross to surface is 100 and the distance from surface to shark is 30 m. The total distance between them is [tex]100+30=130[/tex]

Distance between shark and albatross is 130 m

Answer:

130 m

Step-by-step explanation:

Suppose the polygons have 3 sides, [tex]s_1,s_2,s_3[/tex]. In the smaller polygon, the corresponding sides would have lengths [tex]\dfrac25s_1,\dfrac25s_2,\dfrac25s_3[/tex].

So if the perimeter of the larger polygon is

[tex]s_1+s_2+s_3=85[/tex]

then the perimeter of the smaller polygon would be

[tex]\dfrac25(s_1+s_2+s_3)=\dfrac25\cdot85[/tex]

so its perimeter would be 34 meters.

Final answer:

The perimeter of the smaller similar polygon is 34 meters, calculated by setting up and solving the proportion 2/5 = P/85.

Explanation:

When dealing with similar polygons, the ratio of their corresponding side lengths is the same as the ratio of their perimeters. Given that the ratio of the sides is 2 to 5, and the perimeter of the larger polygon is 85 meters, we can set up a proportion to find the perimeter of the smaller polygon.

Let the perimeter of the smaller polygon be P. The proportion will be 2/5 = P/85. To find P, we cross-multiply and get: 2 * 85 = 5 * P. Simplifying, we find that P equals 34 meters. Hence, the perimeter of the smaller polygon is 34 meters.

Answer:

$3.4875

Step-by-step explanation:

AS the ride is completed and according the rule the person have to give a tip on the total taxi ride

according to the given

tip given 15%

Total ride cost = $23.25

To find is the total tip given in dollars

Solution:

Total tip in dollars = 15 % of total ride cost

Putting the values of the given

Total tip in dollars = 15 % of 23.25

it can be written as

                             = [tex]\frac{15*23.25}{100}[/tex]

                              =[tex]\frac{348.75}{100}[/tex]

                               =$ 3.4875

So the total tip would be $3.4875

Answer:

3.50 cent

Step-by-step explanation:

I take 10% and 20% of the number. For this ride, that would be about $2.33 and 4.66.

Then I estimate what is about half way between those two numbers. It looks like about $3.50 would be about 15%.

Answer:

Step-by-step explanation:

1/40=3/120

Answer:

78

Step-by-step explanation:

112-18-16=78

Answer:

Correct answer is 2/3.

Step-by-step explanation:

Answer:

The answer is 17 items in 5 groups.

Step-by-step explanation:

If we have 20 pencils + 25 erasers + 40 paper clips; that´s a total of 85 items.

Then we just divide all the items into 5 groups so we can have the same amount of items in each group.

85 items  ÷ 5 groups = 17 items each.

17 x 5 = 85.

See the attached picture:

The fraction 7/25 translates to the decimal 0.28 in mathematics.

In the question, we are to translate the fraction 7/25 to a decimal. This is a straightforward conversion in the field of mathematics. To convert this fraction to a decimal, we divide the numerator (the top number) by the denominator (the bottom number), yielding 7 ÷ 25 = 0.28. Therefore, the fraction 7/25 is equivalent to the decimal number 0.28 when rounded to two decimal places.

https://brainly.com/question/31738948

#SPJ3

Answer:

54.01

If it’s an less than problem then

49.01<54.01<100

Step-by-step explanation:

100-54.99

= 54.01

To know if a dilation is an expansion ( bigger) r a contraction ( smaller) ignore the negative sign.

If the number is larger than 1, it is an expansion, if the number is smaller than 1 it is a contraction.

-4 is an expansion

2.5 is an expansion

2/3 is a contraction

-3/4 is a contraction

Answer:

AD>EC

Step-by-step explanation: If you look at the two traingles, angle AD is a bit larger than angle EC, this is due to the degrees of the angles, EC-> 25,

AD-> 30, this makes the triangle of AD, greater than EC.

The correct answer is option C - Spanish.

From which language does the underlined phrase originate? When the house guests arrived, Granny said, "Mi casa es su casa."

"mi casa es su casa" is a common Spanish expression which means - "welcome" or "make yourself at home" Mi casa es su casa literally means "my house is your house".

Answer:

$245

Step-by-step explanation:

Orignal price for shirt was 105

Original price for shoe sizes was 140

105+140=245

Answer:

17+6i

-----------

25

Step-by-step explanation:

2+3i

---------

4+3i

We want to multiply by the complex conjugate of the denominator

4+3i has a complex conjugate of 4-3i

2+3i             4-3i

--------- * --------------

4+3i           4-3i

Lets multiply the numerator

(2+3i) ( 4-3i)

2*4 +4*3i -3i*2 - 3i*3i =

8 +12i -6i - 9i^2

Remember i^2 = -1

8 +6i -9(-1)

17 +6i

Lets multiply the denominator

(4+3i) ( 4-3i)

4*4 +4*3i -3i*4 - 3i*3i =

16 +12i -12i - 9i^2

Remember i^2 = -1

16 -9(-1)

25

Putting numerator over denominator

17+6i

-----------

25

Answer:C

Step-by-step explanation:

2pq - 2pq is zero. B and E have no zero pq coefficient.

p(9-7+5) = 7p

Answer:

c

Step-by-step explanation:

i did the test lol