What value of coefficient b makes the equation true for any real number x?
3(2x - 3)+ 5 = bx +9

Answer:

6/35

Step-by-step explanation:

3/7 : 2 1/2

2 1/2 = (2*2+1) / 2 = 5/2

3/7 : 5/2 = 3/7 * 2/5 = (3*2) / (7*5) = 6/35

Answer:

205 mins

Step-by-step explanation:

Answer:

Solution:

Given,

Radius(r) = 11 ft

C = ?

Now,

[tex]c = 2\pi \: r[/tex]

C = 2 × 3.14 × 11

= 70 cm

again,

C = 360°

angle = 315°

So,

C = 70 cm

or, 360° = 70 cm

or 1° = 70/360°

or 1° = 7/36

again ,

area = 7/36 × 315°

= 61.25 cm

Answer:

i think it should be around 30.975 :))

Step-by-step explanation:

lmk if this helps <3

Answer:

0 - 9 = 1

10 - 19 = 2

20 - 29 = 2

30 - 39 = 4

40 - 49 = 6

Have a great day! :)

Answer:

The times sign

Step-by-step explanation:

Answer:

6 x 1 = 6

Step-by-step explanation:

Answer:

a = 12

Step-by-step explanation:

∠OPQ is a right angle.

[tex]5^{2} + a^{2} = 13^{2} \\25 + a^{2} = 169\\a^{2} = 144\\a = 12[/tex]

Answer:khcf

Step-by-step explanation:

guifk

Answer:

why you not listening to your teacher

Step-by-step explanation:

maybe she could help you

Answer:

all angles add up to 360 degrees

Step-by-step explanation:

Answer:

Actual height  of the building [tex]=112.5[/tex] meters

Step-by-step explanation:

Given

Scale of the drawing

1 cm = 25 meters

This means that any 1 cm line on the map represents a length of 25 meters in actual.

The height of the building on map [tex]= 4.5[/tex] cm

Actual height  of the building

[tex]= 4.5 * 25\\=112.5[/tex]meters

Answer:

261 cm²

Step-by-step explanation:

To find the surface area of a square pyramid, you must first recognize all of the shapes.

There are four triangles and one square.

The triangles have a base of 9 and a height of 10.

[tex]9*10=90[/tex]

Multiply the product by 1/2.

[tex]90*1/2 = 45[/tex]

There are four triangles.

[tex]45*4=180[/tex]

The area of all three triangles is 180 centimeters; the area of a single triangle is 45 centimeters.

There square has sides of 9 centimeters.

[tex]9*9=81[/tex]

The area of the square is 81 centimeters.

Lastly, we add the areas of the shapes.

[tex]45+45+45+45+81 = 261.[/tex]

Therefore, the surface area of this square prism is 261 cm².

You can use this layout to find the surface area of a square pyramid.

Answer:

A

Step-by-step explanation:

24.8 x 7 = 173.6

Answer:

How are you? 1

Step-by-step explanation:

Answer:

[tex]A=54.95\ ft^2[/tex]

Step-by-step explanation:

The angle of shaded sector = 360-332 = 28°

The radius of sector, r = 15 ft

We need to find the area of the shaded sector. The formula for the area of the sector is given by :

[tex]A=\dfrac{\theta}{360}\times \pi r^2\\\\=\dfrac{28}{360}\times 3.14\times (15)^2\\\\A=54.95\ ft^2[/tex]

So, the area of the shaded sector is equal to [tex]54.95\ ft^2[/tex].

Answer:

Step-by-step explanation:

2.96, 3, 3.48, 7, 31

Answer:

31, 7, 3.48, 3, 2.96

Step-by-step explanation:

Look at the ones value first. 31 is the highest. Then 7. Between 3 and 3.48, think of 3 as 3.00 so therefore 3.48 is higher than 3.00

Answer:

y = 4x + 1

Step-by-step explanation:

Find slope, rise over run

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}} = \frac{-3--7}{-1--2} = \frac{4}{1} = 4[/tex]

find y intercept by plugging in one of the coordinates in  y=mx+b, including m=4

-7 = 4(-2) + b

1 = b

Answer:

y = 4x + 1

Step-by-step explanation:

Answer:

1332.8 ft^3

Step-by-step explanation:

separate the two figures into a flat cylinder and a flat box

Volume of a cylinder= [tex]\pi r^{2} h[/tex]

where radius= 3ft and height= 3ft

therefore

[tex]=\pi (3)^{2} (3) \\= 84.8 ft^{3}[/tex]

now for the flat box:

volume of box= [tex]w*l*h[/tex]

where width= 6ft, length= 16ft, height= 13ft

therefore

[tex]=(6)(16)(13)\\=1248 ft^{3}[/tex]

now add the volume of the cylinder and box together

[tex]84.8 + 1248\\= 1332.8 ft^{3}[/tex]

Answer:

The investor will earn $875 over the course of 3.5 years.

Step-by-step explanation:

Sounds like simple interest (not compound interest).

The appropriate formula is i = prt, which here is

i = $5000(0.05)(3.5) = $875

The investor will earn $875 over the course of 3.5 years.

The best estimate for a kitchen sink is 20 liters from the options given.

Option C is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The average capacity of a kitchen sink = 32 liters.

The best estimate for the capacity of a kitchen sink.

= 20 liters to 40 liters

Thus,

20 liters can be our best estimate.

Learn more about expressions here:p

https://brainly.com/question/3118662

#SPJ2

Answer:

[tex]P(G\ then\ R)=0.045[/tex]

Step-by-step explanation:

From the question we are told that:

Percentage of  Green beads [tex]P_g=18[/tex]

Percentage of  Red beads    [tex]P_r=18[/tex]

Percentage of Purple beads [tex]P_p=18[/tex]

Therefore

Probability of choosing a Green bead is

 [tex]P(G)=0.18[/tex]

Probability of choosing a Red bead is

 [tex]P(R)=0.25[/tex]

Generally the equation for choosing a green bead then a red bead is mathematically given by

Since Outcomes are independent

 [tex]P(G\ then\ R)=0.18*0.25[/tex]

 [tex]P(G\ then\ R)=0.045[/tex]

Answer:

1/1560

Step-by-step explanation:

The chance of you winning is 1/40, since there are 40 students and you are one of those students. Since, you cannot win again once you win once, you are eliminated. This leaves us with 39 people left. The chances of your friend being chosen out of the 39 people left is 1/39. Now you must multiply 1/40 and 1/39. After multiplying, you get 1/1560.

Answer:

52 miles per hour

Step-by-step explanation:

Answer:

1850is the correct answer

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Answer:

Step-by-step explanation:

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Answer:

52°

Step-by-step explanation:

tanФ = 31/24