Which ordered pair is a solution to the inequality 4x - 3y < 16?​

The arithmetic sequence is 7,14,21,28,35,48

In an arithmetic progression (AP) sequence of numbers, the difference between any two consecutive integers is always the same. It is also known as an arithmetic sequence.

There are two definitions for an arithmetic sequence. Each term in an arithmetic sequence is created by adding a predetermined number (positive, negative, or zero) to its preceding term. It is a "series where the differences between every two following terms are the same."

Given,

first term, a = 7

common difference d = 7

n = 2

a+(n-1)d = 7+( 2 - 1 )7

= 7 + 7

= 14

n = 3

a+(n-1)d = 7+(3-1) 7

= 7+14

= 21

n = 4

a+(n-1)d = 7+(4-1) 7

= 7+ (3)7

= 28

n = 5

a+(n-1)d = 7+( 5-1 ) 7

= 7+ (4)7

= 35

n = 6

a+(n-1)d = 7+( 6-1 ) 7

= 7+ (5)7

= 42

the five terms are 7,14,21,28,35,48.

To learn more about arithmetic progression refer the link:

https://brainly.com/question/11559160

#SPJ9

y = 2/3x -6

Conditions for Lines to be parallel

If two straight lines are cut by a transversal, the pair of alternate angles are equal, then two straight lines are parallel to each other. the pair of interior angles on the same side of traversals is supplementary, then the two straight lines are parallel.

Given line

3y – 2x = – 2

passes through (3, –3)

The slope-intercept form is

y =mx+b,

where m is the slope and

b is the y-intercept.

y = mx+b

Divide each term in

3y – 2x = – 2 by -2 and simplify.

-3/2y +x =1

Reorder terms.

y = -(2/3)(x+1)

Using the slope-intercept form, the slope is

2/3.m=2/3

To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.

Use the slope

2/3 and a given point (3, –3)

to substitute for

x1 and y1

in the point-slope form

y−y1=m(x−x1)

which is derived from the slope equation

m=(y2−y1)x2−x1.

y−(-3)=2/3⋅(x−(3))

Simplify the equation and keep it in point-slope form.

y+4=2/3⋅(x-3)

y = 2/3x -6

To learn more about Parallel lines

visit -  https://brainly.in/question/473305

#SPJ9

Answer:

-13

Step-by-step explanation:

Plug in -2 to x:

5(-2) - 3

Multiply 5x-2:

-10 - 3

Because two negatives make a positive, add -10 and -3:

-13

Answer:

Step-by-step explanation:

All you need is angles that are the same in each shape.

For example, all squares are similar. They all have 4 ninety degree angles.

All polygons with equal angles are similar. All regular hexagons have interior angles of 120 degrees.  So all regular hexagons are similar.

All regular octagons are similar. All regular octagons (8 sides) have interior angles of 135 degrees.

To get more, just look up the names of all regular polygons from 3 to 10. I've given you three of them.

Answer:

If 100%=1200 what about 100%-18%.

You get 984$

Answer: 20

Step-by-step explanation: I can help with am explanation if you dm me:)

If y varies directly with x and y=36 when x=6, the value of y is 24 when x=4.

The  mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other. It is a linear function defined by an equation of the form

y = kx when x is not equal to zero.

Given:

If y varies directly with x and y=36 when x=6

According to given question we have

we can write direct variation equation as

y= k*x

where k is constant

y = 36 when x=6,

36 =k(6)

k=6

So, by putting the value of x=4 we get,

y =kx

y=6*4

y=24

Therefore, If y varies directly with x and y=36 when x=6, the value of y is 24 when x=4.

Learn more details about direct variation here:

https://brainly.com/question/14254277

#SPJ1

The slope of the equation of the line described is equal to 1/3.

A slope is also referred to as gradient and it's typically used to describe both the ratio, direction and steepness of the function of a straight line.

Mathematically, the slope of any straight line can be calculated by using this formula;

[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

Mathematically, the standard form of the equation of a straight line is given by;

y = mx + c

Where:

y + 2 = 1/3(x-8)

y + 2 = 1/3x - 8/3

y = 1/3x - 8/3 - 2

y = 1/3x - 2/3

Therefore, the slope of the equation of the line described is equal to 1/3.

Read more on slope here: brainly.com/question/3493733

#SPJ1

Based on the money earned by Kaleigh's aunt from Wheels Around Town, the relationship between miles and money earned is proportional.

In a proportional relationship, the rate of increase or decrease in x should be equivalent to the rate of increase or decrease in y. This rate should be constant through the entire distribution.

The equation of the line should take the form:
y = mx

There should be no y-intercept.

The slope is:

= (48  - 72) / (120 - 180)

= -24 / - 60

= 2/5

Every value of y has to be 2/5 of x.

= 160 x 2/5 = 64

= 200 x 2/5 = 80

The relationship is therefore proportional.

Find out more on proportional relationships at https://brainly.com/question/10424180

#SPJ1

The linear scale factor for going from first to second statue will be 2/3 and the weight of the second statue will be 96 2/3 pounds.

It should be noted that the statue is 6 feet tall and weighs about 145 pounds and second model statue is 4 feet tall.

Therefore, the linear scale factor for going from first to second statue will be:

= 4/6

= 2/3

Therefore, the weight of the second statue will be:

= 2/3 × 145

= 96 2/3 pounds.

Learn more scales on:

brainly.com/question/25722260

#SPJ1

Answer:

15 Gigabites

Step-by-step explanation:

The closest you can can get to is $70, so by adding five in the times tables it gets you up to 15 x 5 which is 70.

Answer:

68

Step-by-step explanation:

4(4 + 1)²

4(16 + 1)

64 + 4

68

Answer:

1) -2a + 2

2) x + 1

3) -5x + 5

Step-by-step explanation(1):

[tex]\left(7a+4\right)-\left(9a+2\right)\\=7a+4-\left(9a+2\right)\\=7a+4-9a-2\\=7a-9a+4-2\\=-2a+4-2\\=-2a+2[/tex]

Step-by-step explanation(2):

[tex]\left(2x+5\right)-\left(x+4\right)\\=2x+5-\left(x+4\right)\\=2x+5-x-4\\=2x-x+5-4\\=x+5-4\\=x+1[/tex]

Step-by-step explanation(3):

[tex]\left(2x+4\right)-\left(7x-1\right)\\=2x+4-\left(7x-1\right)\\=2x+4-7x+1\\=2x-7x+4+1\\=-5x+4+1\\=-5x+5[/tex]

Hope this helps. Notify me of any concerns.

Answer:

(4,13)

Step-by-step explanation:

Set the 2 equations equal to each other and solve for x.

5x - 7 = 2x + 5  Subtract 2x from both sides

3x - 7 = 5  Add 7 to both sides

3x = 12  Divide both sides by 3

x = 4

Now plug 4 back into either of the original 2 equations to find y.

y = 5x -7

y= 5(4) -7

y = 20 -7

y= 13

Applying the knowledge of fractions, the number of pounds of vegetables required to prepare 1/3 bowl of salad is: 1¼ pounds.

In solving this problem, we would apply our knowledge of fractions as explained below.

One bowl of salad needs 3¾ pounds of vegetables

Let the number of pounds if vegetables needed for ⅓ bowl be represented as x. Therefore, we would have the following proportion:

1 bowl = 15/4 pounds of vegetables [i.e. 3¾]

⅓ bowl = x

Thus:

1/15/4 = ⅓/x

1/1 × 4/15 = 1/3 × 1/x

4/15 = 1/3x

Cross multiply

4(3x) = 1(15)

12x = 15

Divide both sides by 12

12x/12 = 15/12

x = 15/12

x = 5/4

x = 1¼ pounds

Therefore, applying the knowledge of fractions, the number of pounds of vegetables required to prepare 1/3 bowl of salad is: 1¼ pounds.

Learn more about fractions on:

https://brainly.com/question/17220365

#SPJ1

According to the solving it is proved that DE is parallel to BC.

Coordinates are numerical lengths or angles that uniquely identify points on two-dimensional (2D) or three-dimensional (3D) surfaces ( 3D ). Mathematicians, physicists, and engineers employ a variety of coordinate systems.

In-parallel refers to something that is the same distance as well as the direction away from something else. Two lines of individuals standing straight across from each other is an example of in-parallel. noun. 1. In-parallel means traveling the same direction and distance as something else.

To obtain the coordinates of each midpoint, use the midpoint formula.

(x, y) = (½ (x₁ + x₂), ½(y₁ + y₂))

Coordinates of D:

(x, y) = (½ (4 + 2), ½(6 + -2))

(x, y) = (3, 2)

Coordinates of E:

(x, y) = (½ (4 + -2), ½(6 + -4))

(x, y) = (1, 1)

Slope of DE:

m = Δy / Δx

m = (2 − 1) / (3 − 1)

m = 1/2

Slope of BC:

m = Δy / Δx

m = (-2 − -4) / (2 − -2)

m = 1/2

Therefore, DE is parallel to BC.

To know more about Coordinates plane visit:

https://brainly.com/question/24134413

#SPJ9

Since m(n(x)) = n(m(x)) = x, then m(x) and n(x) are inverse functions

The inverse of a function is a function that can reverse into another function.

If we have function f and g, and f f(x) = y, then g is the inverse of f if and only if g(y) = x

Also, if f is a function f⁻¹ is the inverse of x and ff⁻¹(x) = f⁻¹f(x) = x

Given the functions m(x) = x³ - 5 and n(x) = ∛(x + 5)

If m(x) and n(x) are inverse, then m(n(x)) = n(m(x)) = x

So, we proceed as follows

m(x) = x³ - 5

m(n(x)) = (∛(x + 5))³ - 5

m(n(x)) = x + 5 - 5

m(n(x)) = x + 0

m(n(x)) = x

Also,

n(x) = ∛(x + 5)

n(m(x)) = ∛(x³ - 5 + 5)

n(m(x)) = ∛(x³ - 0)

n(m(x)) = ∛(x³)

n(m(x)) = x

Since m(n(x)) = n(m(x)) = x, then m(x) and n(x) are inverse functions

Learn more about inverse functions here:

https://brainly.com/question/28034667

#SPJ1

Answer:

the cost per book is 3$. you can buy 7 books for 21$.

Step-by-step explanation:

15 divided by 5 is 3, so they cost 3 each. 21 divided by 3 is 7.

Plan B is less expensive than Plan A when you use at least 25

Inequalities can simply be defined as mathematical expressions in which both or two sides of the expression are not equal.

From the information given, we have that;

Now, let's write the inequality that represents Plan B < Plan A

If Plan B < Plan A

Then,

0. 19m + 6. 00 <  0. 25m

Let's simply the inequality

6. 00 < 0. 25m - 0. 19m

0. 06m < 6. 00

Make 'm' the subject

m < 6. 00/ 0. 06

m < 100

Thus, Plan B is less expensive than Plan A when you use at least 25

Learn more about inequalities here:

https://brainly.com/question/25275758

#SPJ1

Answer:

x=4

Step-by-step explanation:

22x-3+35+60=180

add like numbers.

22x+92=180

180-92=88

22x=88

88 divided by 22

x=4

check work=

22(4)-3+35+60=180

The volume of the given figure is 267.95 mi³.

The given object is a sphere. A sphere is a three-dimensional object that has all its surface points at equal distances from the center. A sphere is round in shape.

The volume of an object is the amount of space in the three-dimensional object.  The radius of a sphere is a straight line from the circumference of the sphere to the center of the sphere.

Volume of a sphere = 4/3 × π × r³

Where:

π = pi = 22/7

r = radius = 4

4/3 x 22/7 x 4³ = 267.94667 mi³

267.95 mi³

To round off to the nearest hundredth, if the thousandth digit is equal to 5 or greater than 5, add 1 to the hundredth digit and change all the digits after the hundredth digit to 0.

To learn more about the volume of a sphere, please check: https://brainly.com/question/13705125

#SPJ1

The probability of randomly drawing the chip number 564 is 1 / 713 or 0.0014

Probability is used to determine the odds that a random event would happen. The odds that the event would happen is a distribution that lies between 0 and 1.

If it is certain that the event would occur, the probability value would be 1. If  it is certain that the event would not occur, the probability value would be 0. If it is equally likely that the event would happen or not happen, the probability value would be 0.5.

The more likely the event is to happen, the closer the probability value would be to 1. The less likely it is for the event not to happen, the closer the probability value would be to zero.

The probability of randomly drawing the chip number 564 = number of chips numbered 564 / total number of chips

1 / 713 = 0.0014

To learn more about probability, please check: https://brainly.com/question/13234031

#SPJ1

Answer:

300 units

Step-by-step explanation:

Answer:

C - A = B

Step-by-step explanation:

B is now what we are solving for.

Answer:

Flip the equation so B is the sum and also the subject.

Step-by-step explanation:

[tex]A - C = B[/tex]

Answer:

[tex]\sf {3x}^{2} [/tex]

Step-by-step explanation:

[tex] \rightarrow \sf 3x(\frac{1}{{x}^{-4}}) {x}^{-3} [/tex]

[tex] \rightarrow \sf \frac{ {3x}^{5} }{ {x}^{3} } [/tex]

[tex] \rightarrow \sf {3x}^{2} [/tex]