Does the graph shows a proportional relationship

Answer:

1) 18b - 3c - 10

2) [tex]1\frac{3}{4}[/tex]g + 7

3) 0.3y

4) -4n - 5

Step-by-step explanation:

1) 16b + 5c - 10 - 8c + 2b

like terms: 16b + 2b = 18b

like terms: 5c - 8c = -3c

like terms: -10

simplified: 18b - 3c - 10

____________

2) 1/2g + 2g - 3/4 g + 7

like terms: 1/2g + 2g - 3/4g

2 1/2 - 3/4

improper fraction > 5/2 > same denom > 10/4

10/4 - 3/4 = 7/4 > mixed number> 1 3/4g

like terms: +7

simplified: 1 3/4g + 7

____________

3) -0.9y + 4.4y - 3.2y

like terms:  -0.9y + 4.4y - 3.2y

simplified: 0.3y

____________

4) 4 - 8n + 7n - 3n - 9

like terms: -8n + 7n - 3n = -4n

like terms: 4 - 9 = -5

simplified: -4n - 5

____________

Answer:

x = -2, y = 10

Step-by-step explanation:

Answer:

b) angle bisector of angle ABC

Answer: The answer is 9.00988 mi/h

Step-by-step explanation: to be simplified it would be 9.0 or 9 miles an hour

Answer:

5050

Step-by-step explanation:

sum of first n natural num. = [n(n+1)]/2

sum of first 100 natural num. = (100x101)/2 = 5050

Answer : The sum of 1 to 101 positive integer is 5050

5052 will be sum of 1 to 101 only positive integer

Answer:

i did this on study island

Step-by-step explanation:

is the sign that you mean ÷ ?

if so:

-3×7÷5×1/7

= -21÷5×1/7

=-21/5 × 1/7

= (-21×1) / (5×7)

= -21/35

=-3/5

=-0.6

According to the information in the table, it can be inferred that the state with the least area is Mississippi, with an area of 61.14 square miles.

The table shows the population density of some states in which the number of people and the area of that state are mentioned.

Based on this information, it can be inferred that the state with the fewest number of miles is the one with the smallest area. So Mississippi is the one with the least area.

On the other hand, the one with the largest area would be Indiana which is 186.32 square miles in area.

Learn more about area in: https://brainly.com/question/11952845

Answer:

(-4, 1)

Step-by-step explanation:

Coordinates on the plane are written (x, y), meaning you write where the point is located on the x-axis (across) and then you write where the point is located on the y-axis (up and down).

You can see that A's location on the x-axis is -4, so now we have (-4, y). We can also see that A's location on the y-axis is 1, so we have (-4, 1) as our coordinates of A.

I hope this helps! Have a lovely day!! :)

Answer:

Step-by-step explanation:

a and b are parallel lines. So, alternate interior angles are congruent.

∠2 = 64.8°

∠3 = 30.5°

Sum of all angles of triangle  = 180

∠1 + ∠2 + ∠3 = 180

∠1 + 64.8 + 30.5 = 180

           ∠1  + 95.3 = 180

                       ∠1 =  180 - 95.3

                        ∠1  =  84.7°

[tex]\sf Potassium \ : \ 2.2 * 10^{-7}[/tex]

[tex]\sf Argon \ : \ 7.1 * 10^{-8}[/tex]

[tex]\sf Boron \ : \ 8.5 * 10^{-8}[/tex]

[tex]\sf Silver \ : \ 1.6 * 10^{-7}[/tex]

greatest to least :

The order is

Shortcut trick :-

The nature of atomic radii in. periodic table

Answer:

Step-by-step explanation:

Solve each inequality in the system:

The solution is:

The integer solution set is:

[tex]\\ \rm\rightarrowtail 3-2a<13[/tex]

[tex]\\ \rm\rightarrowtail -2a<10[/tex]

[tex]\\ \rm\rightarrowtail -a<5[/tex]

[tex]\\ \rm\rightarrowtail a>-5[/tex]

And

[tex]\\ \rm\rightarrowtail 5a<17[/tex]

[tex]\\ \rm\rightarrowtail a<17/5[/tex]

[tex]\\ \rm\rightarrowtail a<3\dfrac{2}{5}[/tex]

So

solution set

[tex]\\ \rm\rightarrowtail a\in\left(-5,3\dfrac{2}{5}\right)[/tex]

So

Answer:

C) 1

Step-by-step explanation:

The average rate of change remains constant among the 3 given points as [tex]\frac{5-4}{2-1}=1[/tex] and [tex]\frac{10-5}{7-2}=1[/tex], so your answer is C

Answer: 2d+3<=9

Step-by-step explanation:2 times a number is 2d plus 3 is +3 less than or equal to is <=

Question: calculate the measure of angle JKL, i.e. mJKM+mMKL

Answer:

78°

Step-by-step explanation:

angle JKM is a tangent-chord intersection angle and equals half of the intercepted arc KM of 76°.  Thus

mJKM = 76/2 = 38°

angle MKL is an inscribed angle and equals half of the intercepted arc ML of 80°,  Thus

mMKL = 80/2 = 40°.

Therefore angle JKL = 38°+40° = 78°.

The required distance between the take-off point and the water tower is 1980.1 feet.

Given that,
A plane took off and rose at an angle of 8º with the horizontal ground. As the plane flies over a water tower, it has covered a distance from the take-off point of 2000 feet.
To determine how far apart are the take-off point and the water tower.​

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.

Here,
Now,
The distance flying over inclination is 2000 feet at an angle of 8° with horizontal.
Now,
Required horizontal distance = 2000 * cos 8°
                                            = 1980.1 feet.

Thus, the required distance between the take-off point and the water tower is 1980.1 feet.

Learn more about trigonometry equations here:

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#SPJ2

Considering the surface area of the rectangular box, it is found that since it is of 502 in² < 1,350 in², she will not need more than 5 cups of paint.

The surface area of a rectangular prism of length l, width w and depth d is given by:

S = 2(lw + ld + wd).

In this problem, we have that the dimensions, in inches, are given by l = 13, w = 8, d = 7. Hence, the surface area in in² is given by:

S = 2(13 x 8 + 13 x 7 + 8 x 7) = 502 in².

Since the surface area of the box is of 502 in² < 1,350 in², she will not need more than 5 cups of paint.

More can be learned about the surface area of a rectangular prism at https://brainly.com/question/17223528

Answer:

  -2 and 1

Step-by-step explanation:

The two "mystery numbers" are described by two relations. We can assign variables to those numbers, and write a system of equations that express the given relations.

__

Let x and y represent the first and second mystery numbers, respectively. The first relation tells us ...

  10x +5y = -15

The second relation tells us ...

  6x +2y = -10

We can reduce both of these equations to lowest terms by factoring out the common factor of 5 from the first one and 2 from the second one:

__

We are told to solve this using elimination. We can eliminate the y-variable by subtracting the first equation from the second:

  (3x +y) -(2x +y) = (-5) -(-3)

  x = -2 . . . . . . . . . . simplify

  2(-2) +y = -3 . . . . substitute for y

  y = 1 . . . . . . . . . . add 4

The two numbers are -2 and 1.

Answer:

they get  a 7/24th piece of cake.

Step-by-step explanation:

if we divide 3 1/2 by 12 we get 7/24

we use the 3 1/2 because that is how many cakes there are.
we use 12 because there are 12 boys that want to split the cake equally.

Answer:

20

Step-by-step explanation:

It is stated that the triangles in the figure are similar:

We can use the side lengths' proportions to find the length of TY

UT/ZY = XT/TY

(9.6)/16 = 12/TY cross multiply expressions:

192 = (9.6)TY divide both sides by 9.6

20 = TY

Answer:

-2i.

Step-by-step explanation:

( 1 - i ) ( 1 - i )

= 1(1 - i) - i(1 - i)

= 1 - i - i + i^2

Now i^2 = -1 so we have:

1 - 2i - 1

= -2i        

Answer:

that is 4.6 m that the answer

Answer: B is correct

Step-by-step explanation:

if you do 2 ÷ 5 you get 0.4. But that isn't an option. So, the only other possibility would be -2 ÷ 5 which gives us -0.4, and that makes sense.

I'm not the greatest at explaining this one but hopefully, this helps!

Answer:

I think 2(x^2−y^2)=3x

Answer:

Its 2(x^2-y^2)=3x

The speed at which Erin drove from the given parameters was calculated as; 35 mph

Let Erin's speed rate be X. Now, since it took erin 21 miles, then;

Erin's time = 21/X

Now, erin's speed was 10 mph faster than Brent's speed. Thus;

Brent's speed = (X - 10) mph

Thus, Brents time = 15/(x - 10)

Now, since they took the same time, then we know that;

21/x = 15/(x - 10)

15x = 21x - 210

6x = 210

x = 210/6

x = 35

Thus, Erins speed = 35 mph

Read more about rates at; https://brainly.com/question/12242745

Answer:

Surface Area: [tex]18ft^3[/tex]

Volume: [tex]44ft^2[/tex]

Step-by-step explanation:

Volume Formula --> base * height

[tex](4.5 * 2) * 2 = 9*2=18ft^3[/tex]

Surface Area Formula --> 2(width*length + height*length + height*width)

[tex]2((2*4.5) + (2*4.5)+(2*2)) = 2(9+9+4) = 2(22) = 44ft^2[/tex]

Answer:

Volume = 18 ft³

Surface area = 44 ft²

Step-by-step explanation:

Volume

Volume of a cuboid = base length × base width × height

Given:

Substitute given values into formula:

⇒ Volume = 4.5 × 2 × 2 = 18 ft³

Surface Area

Surface area = 2(base width × height) + 2(base length × height) + 2(base length × base width)

                      =2(2 × 2) + 2(4.5 × 2) + 2(4.5 × 2)

                      = 8 + 18 + 18

                      = 44 ft²

Answer:

x = 5,-3

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Answer:

See attachments

Step-by-step explanation:

Hope this helps! (I hope you can open them)