What is the solution to the linear equation?

–12 + 3b – 1 = –5 – b

b = –2
b = –1.5
b = 1.5
b = 2

Answer:

Inequality Form:

x > 7

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

x can be anything bigger then 7 to make this true.

Answer:

The average distance from Pluto to the Sun is 30 times greater than the average distance from Mars to the Sun.

Step-by-step explanation:

We have:

- Distance from Pluto to the Sun ([tex]d_{PS}[/tex]) = 6x10⁹ km

- Distance from Mars to the Sun ([tex]d_{MS}[/tex]) = 2x10⁸ km

Now, we can find how many times greater is [tex]d_{PS}[/tex] than [tex]d_{MS}[/tex] as follows:

[tex] \frac{d_{PS}}{d_{MS}} = \frac{6 \cdot 10^{9} km}{2 \cdot 10^{8} km} = 30 [/tex]

Therefore, the average distance from Pluto to the Sun is 30 times greater than the average distance from Mars to the Sun.

I hope it helps you!                                              

Answer:

The y-intercept is what she gets paid even with no cars sold. Its the minimum she can get paid. Regardless of how many cars she sells, her base pay is $1000.

Step-by-step explanation:

Hope this helped!

The y-intercept of the equation is 1,000 which represents the pay in dollars.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The equation is given below.

y = 500x + 1,000

The y-intercept of the equation is 1,000 which represents the pay in dollars.

More about the linear equation link is given below.

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Answer:

10,800

-1200

Step-by-step explanation:

Given that :

40 units of maple sap = 1 ounce of maple syrup

Using a 20 - ounce bottle, 2 ounces of air is left

Ounces of actual syrup = (20 - 2) = 18 ounces

Number of maple sap required to fill 15 bottles :

Number of maple saps required to fill 18 ounces bottle :

40 units = 1 ounce

x = 18 ounces

Hence, for 18 ounces of maple syrup :

(40 * 18).= 720 units of maple sap

For 15 bottles of 18 ounces maple syrup:

(720 * 15) = 10,800 units of maple sap

If they had filled each bottle to the top:

(40 * 20 * 15) = 12000 units of maple sap

10,800 - 12000 = - 1200 units of maple sap

Answer:  [tex]-1 \le y \le 1[/tex]

The range is the set of all possible y outputs of a function. The graph shows the smallest possible y value is y = -1, while the largest is y = 1. The value of y can be anything in between.

If you need the range in interval notation, then you would write [-1, 1]. The square brackets indicate we include each endpoint.

Note: This is likely the graph of y = sin(x)

Answer:

8(4+4) =7 38+38

=86

Answer:

3.9 or 3.88888888889

Step-by-step explanation:

5*7=35

35/9=3.88888888889=3.9

Answer:

5*7 = 35 / 9 =3

Step-by-step explanation:

because it is the closest

Answer:

6

Step-by-step explanation:

If you divide 54 in 9 parts it will come out to 6, to check this work divide 54 by 6.

6

Step-by-step explanation:

First you would turn it into a decimal to get .111 repeating then you would multiple it by 54 to get 5.99 repeating do you would round up to get 6

Answer:

x=31

Step-by-step explanation:

If the lines are parallel then the angle that is the same corner has the same degrees. If all the lines are parallel then 140=4x+16

140-16=4x

124=4x

124÷4=x

31=x

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

OB = 10 cm

OA = OC = Radius = 4 cm

COS <AB = OA/OB = 4/10 = 2/5 =

COS< COB = OC/OB = 4/10 = 2/5

=> <AOC = <AOB + <COB

=> <AOC = Cos-¹(2/5) + Cos-¹(2/5)

=> <AOC = 2 Cos-¹(2/5)

=> <AOC = 2 * 66.42

=> <AOC = 132.84°

if D is in minor arc then length of arc ADC. = ( 132.84°/360°) 2π = 9.274 cm

if D is in major arc then length of arc ADC. = ((360° -132.84°)/360°) 2π = 15.859 cm

Answer:

[tex] 49 + 28 = 7(7 + 4) [/tex]

Step-by-step explanation:

Number of bags bought in one week = 49 bags

Number of bags bought the next week = 28 bags

Number of bags bought is [tex] 49 + 28 [/tex]

To express this using the distributive property, look for the greatest common factor of 49 and 28. Factor it out to get an expression.

Thus:

The factor 7 can go into 49 and 28. Factor out 7.

Therefore, we would have:

[tex] 49 + 28 = 7(7 + 4) [/tex]

Answer:

-2

Step-by-step explanation:

Substitute in -3 for all x values and solve

Answer:

The answer is 11. 11^3 is 1,331.

Step-by-step explanation:

NP

Answer:

abosute value is the bigger number regardless of positives and negitives.

Step-by-step explanation:

Answer:

The absolute value of a number means the distance from 0. -7 is further from 0 than 6, therefore, it has a greater absolute value. Keep in mind, absolute value makes all numbers positive.

Answer:

12.6

Step-by-step explanation:

The two left sides have lengths, so this allows you to establish the ratio of the lengths of the sides of the triangles,

left triangle : right triangle

ratio = 25 : 17.5

The bottom sides are also in the same ratio.

ratio = 18 : w

Write a proportion by setting the ratios equal and solve for w.

25/17.5 = 18/w

Cross multiply.

25w = 17.5 * 18

25w = 315

w = 12.6

Answer: 12.6

Answer: 2

Step-by-step explanation:

Answer:

A function is a rule that assigns exactly one output to each possible input. This table does not represent a function.

Step-by-step explanation:

Answer:

Step-by-step explanation:

A function is a rule that assigns EXACTLY ONE output to each possible input. This table DOES NOT represent a function.

Answer:486

Step-by-step explanation: you just multiply

Answer: it’s actually -285

Step-by-step explanation: took test

The negative angle equivalent to a 75 angle is -285 angle.

We are given a 75 angle and we need to find a negative angle that is equivalent to the 75 angle.

A negative angle is defined as an angle generated in a clockwise direction from its given base.

We have a 75 angle which is in an anti-clockwise direction from the base AB as shown in the figure.

Now we will draw an angle in a clockwise direction from the base AB such that the angle reaches angle 75 which means it is equivalent to angle 75

We have,

Adding the angle from base AB till angle 75.

90° + 90° + 90° + 15° = 285°

Since the angle is measured in a clockwise direction we have,

285° =  - 285°

The negative angle equivalent to a 75 angle is -285 angle.

Learn more about negative angles here:

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Answer:

Step-by-step explanation c

Answer:

65?

Step-by-step explanation:

Answer:

Priya takes 32 minutes and 30 seconds to complete the route and Jibran takes 37 minutes and 30 seconds to complete the route.

Step-by-step explanation:

We have that Priya (P) and Jibran (J) take 1 h + 10 min working together:

[tex] P + J = 60min + 10min = 70 min [/tex]    (1)

Also, Priya can finish the delivery 5 minutes faster than Jibran:

[tex] P = J - 5 [/tex]    (2)  

By entering equation (2) into (1) we have:

[tex] (J - 5) + J = 70 min [/tex]

[tex] 2J = 75 min [/tex]

[tex] J = 37.5 min = 37 min + 30 s [/tex]

Hence, Jibran takes 37 minutes and 30 seconds to complete the route.

Now, by entering J into equation (2):

[tex] P = 37 min + 30 s - 5 min = 32 min + 30s [/tex]

Therefore, Priya takes 32 minutes and 30 seconds to complete the route.

I hope it helps you!      

Answer:

Priya takes 32 minutes and 30 seconds to complete the route and Jibran takes 37 minutes and 30 seconds to complete the route.

Step-by-step explanation:

Answer:

The slope is 29 mm.

Step-by-step explanation:

What we know:

The radius of this cone is 20 mm, and the height is 21mm

s = √r^2 + h^2

s = √20^2 + 21^2

s = √400 + 441

s = √841

s = 29 mm

The slant height of the cone is required,

The ant would have to crawl [tex]29\ \text{mm}[/tex]

V = Volume of cone = [tex]8792\ \text{mm}^3[/tex]

r = Radius of cone = 20 mm

h = Height

s = Slant height.

Volume of a cone is given by

[tex]V=\dfrac{1}{3}\pi r^2h\\\Rightarrow h=\dfrac{3V}{\pi r^2}\\\Rightarrow h=\dfrac{3\times 8792}{3.14\times 20^2}\\\Rightarrow h=21\ \text{mm}[/tex]

From Pythagoras theorem we have

[tex]s=\sqrt{r^2+h^2}\\\Rightarrow s=\sqrt{20^2+21^2}\\\Rightarrow s=29\ \text{mm}[/tex]

Learn more about slant height:

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Answer: 39.

Step-by-step explanation:

As 3+3=6, 6+5=11,11+7=18,18+9=27,27+11=39.

Answer:

The answer is 19

Step-by-step explanation:

Answer:

C i think

Step-by-step explanation:

You always put the numerator as what you are splitting or dividing the denominators number hope you understand what im trying to say