Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each situation to its corresponding expression.

Answer:

Part A:

I have attached the graph of this system of inequalities.

Part B:

Plug in (8,10) into both equations

10 > 3(8) + 10

10 > 24 + 10

10 > 34

This is false!

10 < (-3/4)(8) - 1

10 < (-3)(2) - 1

10 < -6 - 1

10 < -7

This is also false!

So, (8,10) is not included in the solution area for the system.

Step-by-step explanation:

Answer: 61 is a prime number :3

Answer:

Composite.

Step-by-step explanation:

Composite numbers are basically odd numbers. Prime numbers are all even.

Answer:D

Step-by-step explanation:

D, the  X values repeat for 7.

Answer:

B

Step-by-step explanation:

Inequalities of the type | x | ≤ a, have solution of the form

- a ≤ x ≤ a , so

| x | ≤ 4

- 4 ≤ x ≤ 4

The values of x are between - 4 and + 4, but can equal - 4 and 4 since the symbol is ' less than or equal to '

This is indicated on a number line by solid circles, where not equal to are denoted by open circles.

Thus the solution is Graph B

Answer:

£200

Step-by-step explanation:

The ratio is 2:5

we then have

80:x

Because one side of the ratio was multiplied by 40 we have to do the same to the other

20*5=200

therefore our new ratio is

80:200

Ollie gets £200

Answer:

-40

Step-by-step explanation:

Multiply both sides by the reciprocal of 9/10 to get rid of the fraction

[tex]\frac{10}{9}[/tex]×[tex]\frac{9}{10}[/tex]×y=-36 ×[tex]\frac{10}{9}[/tex]

y=-36×[tex]\frac{10}{9}[/tex]

y=[tex]\frac{-360}{9}[/tex]

y=-40

Answer:

2. Carbon-Dioxide and Nitrogen

3.After the Earth's surface had cooled to a temperature below the boiling point of water, rain began to fall for centuries. As the water drained into the great hollows and gaps in the Earth's surface, the primeval ocean came into existence.

Step-by-step explanation:

The forces of gravity prevented the water from leaving the planet.

Answer:

The percent of change in the average amount received was 46% and this was a decrease.

Step-by-step explanation:

You can use the following formula to calculate the percentage of change:

% of change = ((New number-Original number) / Original Number) x 100

New number= 5,184

Original number= 9,600

Now, you can replace the values in the formula:

% of change = ((5,184-9,600) / 9,600) x 100

% of change = (-4,416 / 9,600) x 100

% of change = (-0.46) x 100

% of change = -46%

According to this, the answer is that the percent of change in the average amount received was 46% and this was a decrease.

Answer:

Step-by-step explanation:

9/13.5

Lauren can drive farther on 40 gallons of gasoline than Melissa because her car is more fuel efficient.

What is miles?

Miles are a unit of measurement used to measure distances, typically between two points. Miles are typically used to measure the length of a journey, such as how many miles it is from one city to another. Miles can also be used to measure the length of a route or the total distance that a person has traveled. In the United States, a mile is equal to 5,280 feet or 1.61 kilometers.

Lauren:

10 gallons : 320 miles

40 gallons : x miles

x = 1280 miles

Melissa:

8 gallons : 280 miles

40 gallons : y miles

y = 1120 miles

Since Lauren can drive 1280 miles on 40 gallons of gasoline, she can drive farther than Melissa, who can only drive 1120 miles on the same amount of gasoline. This is because Lauren’s car has higher fuel efficiency, meaning it uses less gasoline for the same distance.

In conclusion, Lauren can drive farther on 40 gallons of gasoline than Melissa because her car is more fuel efficient. This difference in fuel efficiency can be seen in the ratio tables, which show that Lauren can travel 160 miles farther than Melissa on the same amount of gasoline.

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Answer:

Option H

Step-by-step explanation:

Option F

If two lines are cut by a transversal so that a pair of corresponding angles are congruent, then the lines are parallel.

True.

Option G

If two lines are cut by a transversal so that a pair of alternate exterior angles are congruent, then the lines are parallel.

True

Option H

If two line are cut by a transversal so that a pair of vertical angles are congruent, then the lines are parallel.

Since, vertical angles don't prove the lines cut by a transversal are parallel.

So the statement is False.

Option J

If two lines are are cut by a transversal so that a pair of same side interior angles are supplementary, then the lines are parallel.

True.

Answer:

.36

Step-by-step explanation:

36% -> 36/100 -> .36

Answer:

x<-2

Step-by-step explanation:

5x<-10 (divide both sides by 5)

5x÷5<-10÷5 (divide)

solution: x<-2

hope this helps!

Answer:

the largest one is f or francium.

Answer:

x>−2

Step-by-step explanation:

−3x+12−12<18−12

−3x<6

Step 2: Divide both sides by -3.

−3x

−3

<

6

−3

Answer:

it most likely is the answer B

Answer:

8.8 hours

Step-by-step explanation:

happy paws charges $21 in addition to $2.5 per hour -- we can write this as

21 + 2.5 per hour -- since the number of hours is x, this is equal to

21 + 2.5 (x)

similarly, woof watchers is

10 + 3.75 (x)

we must find when the services are equal --

21 + 2.5x = 10+3.75x

subtract 10 from both sides

11 + 2.5x = 3.75x

subtract 2.5x from both sides

11 = 1.25

divide both sides by 1.25

x = 8.8

The length of the rectangular prism is L = 4x/5

A three-dimensional solid object called a prism has two identical ends. It consists of equal cross-sections, flat faces, and identical bases. Without bases, the prism's faces are parallelograms or rectangles.

The volume of a prism is the product of its base area and height

Volume of Prism = B x h

where B = base area of prism

h = height of prism

Given data ,

The formula for the volume of a rectangular prism is V = lwh, where l, w, and h are the length, width, and height of the prism, respectively.

In this problem, we are given that the volume of the prism is 7/(x - 3/5x) and the width and height are 2/x and 4/x, respectively.

So we can substitute these values into the formula for the volume and solve for the length:

V = lwh

7/(x - 3/5x) = l * (2/x) * (4/x)

Multiplying both sides by (x - 3/5x), we get:

7 = l * 8/(5x² - 3x)

Simplifying, we get:

l = 56x²/(5x² - 3x)

Now we need to check if this solution satisfies the condition that the width is 2/x and the height is 4/x:

w = 2/x, h = 4/x

V = lwh = (56x²/(5x² - 3x)) * (2/x) * (4/x) = 7/(x - 3/5x)

So the solution is correct.

Hence , the length of the prism is 56x²/(5x² - 3x), which can be simplified to 32x²/40x or 4x/5

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Answer:

Step-by-step explanation:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇔    m₁×m₂ = -1

{Two lines are perpendicular if the product of theirs slopes is equal -1}

y = 6x - 7   ⇒   m₁=6

6×m₂ = -1        ⇒    m₂ = -¹/₆

The line y=-¹/₆ x+b passes through point (8, 3) so the equation:

3 = -¹/₆ ×8 + b must be true

3 = -⁴/₃ + b

b = 4¹/₃

Therefore equation in  slope-intercept form:

                                                     y = -¹/₆ x + 4¹/₃

y=m₁x+b₁   ║   y=m₂x+b₂   ⇔    m₁ = m₂

{Two lines are parallel if  their slopes are equal}

y = 6x - 7   ⇒   m₁=6   ⇒   m₂=6

The line y=6x+b passes through point (8, 3) so the equation:

3 = 6×8 + b must be true

3 = 48 + b

b = -45

Therefore equation in  slope-intercept form:

                                                     y = 6x - 45

Answer:

answered

Step-by-step explanation:

Answer:

Step-by-step explanation:

3x + 5y = 7         {subtract 3x from both sides}

5y = -3x + 7        {divide both sides by 5}

y = -³/₅x + ⁷/₅        ←  slope-intercept form

y=m₁x+b₁   ║   y=m₂x+b₂   ⇔    m₁ = m₂

{Two lines are parallel if  their slopes are equal}

y = -³/₅x + ⁷/₅     ⇒   m₁ = -³/₅    ⇒    m₂ = -³/₅

(-1, 3)  ⇒  x₁ = -1,  y₁ = 3

The point-slope form:

y - 3 = -³/₅(x - (-1))

y - 3 = -³/₅(x + 1)           {myltiply both sides by 5}

5y - 15 = -3x - 3           {add 3x to both sides}

3x + 5y - 15 = - 3        {add 15 to both sides}

3x + 5y = 12

Answer:

82

Step-by-step explanation:

2×m²+10

m²= -6×-6=36

36×2=72+10=82

Hey there!

• If m = –6 then substitute it in the equation where m is at!

2(–6)² + 10

(–6)² = (–6)(–6) = 36

2(36) + 10 =

72 + 10 = 82

Answer: 82 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

50%

Step-by-step explanation:

2,400divied by 1,200 =50%

Brainiest plz ?  

Answer:

[tex]y > 4x - 3 = y + 3 > 4x \\ let \: take \: (0.0) \\ 0 + 4 > 4 \times 0 \\ 4 > 0 \\ solution = (0.0)[/tex]

First distribute the 2 through the parenthses on the right side.

So we have y - 4 = 2x + 8.

In slope-intercept form, the y is by itself on the left side.

So we add 4 to isolate the y on the left to get y = 2x + 12.

So in slope-intercept form, our equation is y = 2x + 12.

Answer:

L=16.8

w = 8.8

Step-by-step explanation:

L = x +8

w = x

x(x+8) = 148

x^2 + 8x = 148

x^2 + 8x - 148 =0

a = 1

b = 8

c = - 148

x = [tex]\frac{-8 +/- \sqrt{8^2 + 4*1*(-148)} }{2}[/tex]

(x - 8.8)(x + 16.8) =  0

(x + 16.8) is an extraneous root.

x = 8.8 which is the width

L = 16.8

Answer:

The first set of ordered pairs is a function, because no two ordered pairs have the same first coordinates with different second coordinates. The second example is not a function, because it contains the ordered pairs (1,2) and (1,5). These have the same first coordinate and different second coordinates