10x + 4 = 2(5x + 8) – 12 how many solutions and solve for x

Answer:

Step-by-step explanation:

P(first blue) =  444/ 1554

P(second blue) = 443/1553

P(first blue + second blue) = 444/ 1554 * 443/1553 = 0.08

Answer:

42 cubic units

Step-by-step explanation:

A rectangle prism formula is V = l x h x w.

The length is 7

The height is 3

The width is 2

Then multiply 7, 3, and 2 together (7 x 3 x 2) = 42

The volume of the Rhonda rectangular prism will be 42 cubic units thus option (C) is correct.

Volume is the scalar quantity of any object that specified occupied space in 3D.

For example, the space in our room is referred to as volume.

Volume has units of cube example meter³,cm³, etc.

The volume of the rectangular prism is given as,

V = length × height × width

Put length as 7 unit cubes, height as 3 unit cubes, and width as 2 unit cubes.

V = 7 x 3 x 2 = 42 units³.

Hence "The Rhonda rectangular prism will have a volume of 42 cubic units".

To learn more about volume,

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Answer:

C. Outside the circle

I hope this helps

Option B. is correct

Polynomial equation are equation of number independent variables having relationship with dependent variable.

Since,
A monomial can have higher exponents so its exponents has probability to get divisible by 3 so when cube root for monomial performed.  
for example [tex]\sqrt[3]{x^3}[/tex] = x

Thus, Miguel is correct. Any monomial can be a perfect cube root because, when it is cubed, the variables will have exponents divisible by 3.

Learn more about polynomial here:

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Answer:

option B

Step-by-step explanation:

edge 2023

Answer:

10lbs. for $10.25

Step-by-step explanation:

The first statement is correct

To calculate the distance we have to substrate the values of the Y axis only since X values are constant so the distance IS 4 - - 7=4+7=11

Answer:

The first answer. The distance is 11.

Answer:

15.1

Step-by-step explanation:

The Pythagorean theorem is

a^2 +b^2 = c^2

23^2 + b^2 = 27.5^2

529 +b^2 =756.25

Subtract 529 from each side

529-529+b^2 =756.25-529

b^2 =227.25

Take the square root of each side

b =sqrt(227.25)

b =15.07481343

To the nearest tenth

b = 15.1

Answer:

15.1

Step-by-step explanation:

Answer:

r: radius of balloon

V = (4/3)*pi*r^3 =  288000

=> r^3 = 288000*(3/4)/pi

=> r^3 = 68754.94

=> r = [tex]\sqrt[3]{68754.94}[/tex] = ~40.97 cm

Answer:

D. 4

Step-by-step explanation:

If there are 2 circles drawn in space but not intersecting each other or touching each other at all, there are 4 common tangents.

I hope this helped and have a good rest of your day!

Answer:

must not be

Step-by-step explanation:

The whole thing equals 360 degrees

Angle B and Angle D are equal; which equals 190 degrees.

Add Angle A to 190 degrees; which is 86 + 190 = 276.

Subtract 360, which is what the whole thing equals, and 276, which is the known angle added together, and you get 56.

In order for this to be a parallelogram, the opposite angles need to be equal.

Since they are not, the answer is must not be.

Answer:

if x+y=5, then x=5-y

so x-4y=-10

5-y-4y=-10

5-5y=-10

-5y=-15

y=3

x=5-y

x=5-3

x=2

x=2; y=3

Answer:

about 254.47

Step-by-step explanation

Circle are equation: pi(r)^2

pi(9)^2 = 254.47

Answer:

[tex]\frac{10}{10}[/tex]    (10/10)

Step-by-step explanation:

to convert 1.00 into a fraction you have to write 1.00 as numerator and put 1 as the denominator.

then, you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

1.00 = 1.00/1 = 10/10

Answer:

x=2  y=10

Step-by-step explanation:

The triangles are similar so we can use ratios to solve

15            20

-----  = -------------

x+4         8

Using cross products

8*15 = 20 (x+4)

120 = 20(x+4)

Divide each side by 20

120/20 = 20(x+4)/20

6 = x+4

Subtract 4 from each side

6-4 = x+4-4

2 =x

25            20

-----  = -------------

y           8

Using cross products

25*8 = 20y

200 =20y

Divide by 20

200/20 = 20y/20

10=y

Answer:

t ≥0

Step-by-step explanation:

Given the information:

The initial population: 500

The graph models the population of the bacteria colony P(t) as a function of the time t, in weeks,

=> our function is: P(t) =500*[tex]b^{t}[/tex] where b is the base number and it is ≥0

The domain of exponential functions is all real numbers greater than zero

<=> t ≥0 (because t present for the time and time can not have negative value)  

t  is the independent variable is this exponential function and the population of bacteria depends on the change of t.

Because it is the growth function so the range (the population of bacteria) increase over its domain (the time)

Hope it will find you well.

Answer:

3/2

Step-by-step explanation:

Its because its saying the largest box to the smallest.

since the largest box has a side of 3 it should be on top and the smallest is 2, should be on the bottom.

Ignore all negetive fraction because they are useless.

Answer:

y=-1x+3

Step-by-step explanation:

2-5/1+2

-3/3

-1

y=-1x+b

2=-1+b

b=3

y=-1x+3

Answer:

[tex]12m^{3}[/tex]

Step-by-step explanation:

Multiply all the variables together to get the answer (only for rectangular prism).

Answer:

the answer is 290 m3 i hope you guys have a good day today <3

Answer:

C

Step-by-step explanation:

edge

Answer:

C

Step-by-step explanation:

2.2-2.5

Since a + and a - make a minus if we have 2.2+(-2.5) we would get 2.2-2.5. So C is the anwser.

Answer:

a.20

Step-by-step explanation:

20 is standing out from the rest of the numbers

Answer:

A) The amount of gas they bought on each coast;

East Coast = 35 gallons

Mid-US = 100 gallons

West Coast = 15 gallons

B) The amount of gas they bought on each coast on the return journey;

East Coast = 37 gallons

Mid-US = 116 gallons

West Coast = 21 gallons

Step-by-step explanation:

Complete Question

Maxis taking a cross-country road trip. Gas prices vary as the friends travel across the US from $4 dollars per gallon on the east coast to $3 in the mid-US, to $5 on the west coast.

(a) If they used twice as much gas in the mid-US than on either coast combined, and they spend $515 on gas to purchased 150 gallons of gas, how many gallons of gas did they buy at each price?

The answer to this question is East Coast - 35 gal, Mid-US - 100 gal, West Coast - 15 gal.

(b) On their way back they had more baggage in the car and spend $601 for 174 gallons of gas. Based on the same ratio as in Part (a), how many gallons of gas did they buy at each price? I don't know the answer to this one

Solution

Let the amount of fuel bought on the east coast = x gallons

Let the amount of fuel bought on the mid-coast = y gallons

Let the amount of fuel bought on the west coast = z gallons

a) - They used twice as much gas in the mid-US than on either coast combined

y = 2(x + z) = 2x + 2z (eqn 1)

- They spend $515 on gas to purchase 150 gallons of gas.

Total gallons purchased = x + y + z = 150

Total amount spent = 4x + 3y + 5z = 515

From eqn 1, y = 2x + 2z, inserting this value for y in the 2 other equations

x + y + z = x + 2x + 2z + z = 150

3x + 3z = 150

Divide through by 3

x + z = 50 (eqn *)

4x + 3y + 5z = 4x + 3(2x + 2z) + 5z = 515

4x + 6x + 6z + 5z = 515

10x + 11z = 515 (eqn **)

x + z = 50

10x + 11z = 515

Solving the simultaneous equation,

x = 35 gallons

z = 15 gallons

y = 2x + 2z = 2(35 + 15) = 100 gallons

B) On the return journey, the ratio between x, y and z is still the same, but the total gallons and total amount spent is now different.

They used twice as much gas in the mid-US than on either coast combined

y = 2(x + z) = 2x + 2z (eqn 1)

- They spend $601 on gas to purchase 174 gallons of gas.

Total gallons purchased = x + y + z = 174

Total amount spent = 4x + 3y + 5z = 601

From eqn 1, y = 2x + 2z, inserting this value for y in the 2 other equations

x + y + z = x + 2x + 2z + z = 174

3x + 3z = 174

Divide through by 3

x + z = 58 (eqn *)

4x + 3y + 5z = 4x + 3(2x + 2z) + 5z = 601

4x + 6x + 6z + 5z = 601

10x + 11z = 601 (eqn **)

x + z = 58

10x + 11z = 601

Solving the simultaneous equation,

x = 37 gallons

z = 21 gallons

y = 2x + 2z = 2(37 + 21) = 116 gallons

Hope this Helps!!!

Answer:

figure ii

Step-by-step explanation:

counterclockwise is this way >>>

thus making figure 2 the version of circle A spun counterclockwise

Answer: -70

Step-by-step explanation: hope I helped

Answer:

25

Step-by-step explanation:

5 x3 is 15 and then add 10. im sure u know that but yea

Answer:

g = j - 12

Step-by-step explanation:

We know that if g is Gus' number of engine quantity, then j is Jessie's number of engine quantity, from this statement we have that Jessie made 12 more than Gus, therefore:

j = g + 12

if we solve for g:

g = j - 12

which is the same as saying that Gus made 12 number of engine less than Jessie

Answer:

g = x - 12

where x is the number of axles installed by Jessie

Step-by-step explanation:

Using a simple analogy. If a man has 7 cars while his friend has 3 cars, The statement may be written as the man has 4 cars more than his friend. The 4 cars being the difference between the number of cars he has and the number his friend has.

As such, if the number of engine blocks installed by Gus is g and Jessie installed 12 more axles than the number of engine blocks Gus installed yesterday, where Jessie must have installed x axles,

x = g + 12

Such that

g = x - 12

Answer:

[tex] x = 3y [/tex]

[tex]7x+4y= 12 + 4x+7y[/tex]

Step-by-step explanation:

Para resolver la pregunta, basta con definir variables adecuadas y traducir cada relación. Sea x el costo de una caja grande e y el costo de una caja pequeña. Tenemos que el costo de una caja grande es igual a 3 cajas pequeñas. Es decir, x = 3y. Luego, tenemos que

[tex]7x+4y= 12 + 4x+7y[/tex]

pues al sumarle 12 al costo de 4grande y 7 pequeñas obtenemos el costo de 7 grande y cuatro pequeñas. De aquí, el sistema de ecuaciones que modela el sistema es

[tex] x = 3y [/tex]

[tex]7x+4y= 12 + 4x+7y[/tex]

Answer:

15 inches

Step-by-step explanation:

As the square cake was cut in two equal pieces, we have that one side of the rectangle is the double of the other side, so we have that:

2*Length + 2*Width = 45

Length = 2*Width

So using the value of length in the first equation, we have:

4*Width + 2*Width = 45

6*Width = 45

Width = 7.5

Length = 2*Width = 15

So each side of the original cake is equal to the length of the rectangle pieces, that is, 15 inches.

Answer: 72 degrees

Step-by-step explanation: