Solve for x: 1 < x + 3 < 4

Answers

Answer 1
Answer:

undo what's done to x:

1 - 3 < x + 3 - 3 < 4 - 3, so

-2 < x < 1

this SHOULD be your answer-- if it's not for some reason, let me know.

Answer 2
Answer:

Let's solve your inequality

1<x+3<4 = −2<x<1


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Last one answer please

A bin has 382 red, yellow, blue and green balls. It has three times as many red balls as yellow balls, 52 more blue balls than yellow balls, and 30 fewer green balls than red balls. How many green balls does it have?

Answers

The bin containing 382 red, yellow, blue and green balls have a total of 32 green balls.

Let x represent the number of red balls, y represent the number of yellow balls and z represent the number of green balls.

Since ther is a total of 382 balls, hence:

x + y + z = 382   (1)

There is three times as many red balls as yellow balls:

y = 3x

3x - y = 0    (2)

52 more blue balls than yellow balls, hence:

z = y + 52

- y - z = -52    (3)

Solving equations 1,  2 and 3 gives x = 62, y = 186, z = 134

Hence there are 62 red balls, 186 yellow balls and 134 blue balls

Green balls = 62 - 30 = 32 balls

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Final answer:

To find the number of green balls, you need to create equations using the given information. By solving the equations, the bin is determined to have 150 green balls.

Explanation:

To find the number of green balls, we need to consider the given information and create equations to solve for the number of green balls. Let's define the number of yellow balls as 'y'.

From the first statement, we know that there are 3 times as many red balls as yellow balls. Therefore, the number of red balls is 3y.

From the second statement, we know that there are 52 more blue balls than yellow balls. So, the number of blue balls is y + 52.

From the third statement, we know that there are 30 fewer green balls than red balls. So, the number of green balls is 3y - 30.

We can set up an equation: 3y + y + 52 + 3y - 30 = 382. Solving for 'y', we get y = 60.

Substituting the value of 'y' back into the equation for the number of green balls, we find that the bin has 3(60) - 30 = 150 green balls.

Learn more about Algebra here:

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A ten foot long ladder leans against a wall, with the top of the ladder being eight feet above the ground. What is the approximate angle that the ladder makes with the ground?

Answers

Answer:

The angle that the ladder made with the ground = 53.13010235°

Step-by-step explanation:

The ladder has a length of 10 ft and it leaned against a wall to form a right angle triangle. The height from the top of the ladder to the ground is given as 8 ft. The triangle formed from the illustration can be represented with the picture below.

The angle A is the angle the ladder made with the ground.

Length of ladder = c

height from the top of the ladder to the ground = a

The distance of the foot of the ladder and the wall = b

c = 10 ft

a = 8 ft

Using SOHCAHTOA

sin A = a/c

sin A = 8/10

sin A = 0.8

A = sin-1  0.8

A = 53.13010235°

so we got hypotenuse and opposite side so to find the angle we use the trig function
sin = opposite/hypotenuse
¢=angle
sin¢=8/10
sin¢= 0.8

arcsin¢=arcsin(0.8)
¢= 53.13 degrees

Use the Binomial Theorem to expand (x - 2y)^3

Answers


From Binomial Theorem (x-2y)³:
(((3)/(0)) x^(3)+( (3)/(1) ) x^(2) *(-2y)+( (3)/(2))x*( -2y)^(2) +( (3)/(3)) x^(0) (-2y)^(3) =(3!)/(0!3!) x^(3)- (3!)/(1!2!) x^(2) 2y- (3!)/(2!1!)x4 y^(2)- (3!)/(3!0!)8 y^(3)=x³-6x²y-12xy²-8y³
(x-2y)^3=x^3-6x^2y+12xy^2-8y^3

According to the EPA, about 40 million U.S. tons of hazardous waste is produced each year. If individual household waste makes up 1.6 million tons of this waste, what percent of the total hazardous amount produced is household waste? A. 0.04% B. 0.03% C. 0.25% D. 2.5% E. 4%

Answers

Answer:

C.0.25%

Step-by-step explanation:

40/1.6=25

Then convert to percentage value by moving the decimal 2 places to the left.

25 turns into 0.25.

(06.03)Two car rental companies have different rental plans. Sand's Car Rental charges $50 a day and 10 cents every mile traveled. Beach Car Rental charges $60 dollars a day and no per mile charge. How many days would the trip need to be to make the costs equal, if the trip total was 300 miles? (1 point)


3 days
2 days
1 week
They will never be equal

Answers

Let x be the number of days for the trip. With this representation and dropping the dollar sign, the Sand's Car Rental will charge a total of 50x + (0.1)(300) while Beach Car Rental will charge 60x. Equating the two charges, 50x + 30 = 60x. This gives an answer of x = 3. Therefore, the trip should take 3 days for the charges to be equal. 

Answer:3 days

Step-by-step explanation: got it correct on my exam

Which quadratic function has a leading coefficient of 2 and a constant term of –3?f(x) = 2x^3 – 3

f(x) = –3x^2 – 3x + 2

f(x) = –3x^3 + 2

f(x) = 2x^2 + 3x – 3

Answers

quadatic means 2nd degree, means highest exponent of placeholder is 2
leading coefient is the number that is in front of the highest power x
constant term is the one that doesn't have an x witht it

quadratic
2nd and last fn are quadratic

leading coefient of 2 is first and last fn

constant term is -3 for first and last fn


answer is last function