Solve (x + 1 < 5) ∩ (x - 4 > -3).

Answers

Answer 1
Answer:

Answer:

(1, 4)

Step-by-step explanation:

(x + 1 < 5) is solved by subtracting 1 from both sides of this inequality:

x < 4.

(x - 4 > -3) is solved by adding 4 to both sides:  x > 1.

The solution of (x + 1 < 5) ∩ (x - 4 > -3) is thus (1, 4).


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Solve the equation:
x^2=-36 (picture)

Answers

This equation is not possible. All numbers that are squared end up as positive. -6^2 still equals 36 as well as 6^2. Hope this helped!


A county has 90 schools. The county received 992 new computers. Are there enough computers so that each school can get 11 computers? Explain

Answers

Yes, there are enough computers 992 to be distributed to 90 schools.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a county has 90 schools. The county received 992 new computers.

The required computers for 90 schools will be calculated as,

Computer required = 90 x 11

Computer required = 990

Available compters = 992

Remaining = 992 - 990 = 2 computers

Therefore, there are enough computers 992 to be distributed to 90 schools.

To know more about expression follow

brainly.com/question/16327003

#SPJ2

Answer:

there will be enough for each school to get 11 computers

Step-by-step explanation:

use a calculator and put in 992 divided by 11. your answer should appear as 90.1818182

You paint 1313 of a wall in 1414 hour. At that rate, how long will it take you to paint one wall?

Answers

You paint 1313 of a wall in 1414 hour. 
Now we need to find the rate in order you to paint one wall.

1313 : 1414 = 1 : X
1414 = 1313 X
X = 1.08

So the rate per one wall is 1.08 hours.

Joey's cleaning service charges $50 per week to clean a home. Amy's cleaning service charges $50 per week , plus $25 for cleaning supplies.which equation can be used to express the amount that Amy's cleaning service charges?

A y=50x

B y=50x-25

C y=1/50x

D y=50x + 25

Answers

Answer:

D y=50x + 25

Step-by-step explanation:

The number of weeks can vary, so it is placed in front of a variable. The cleaning supplies cost does not, so it does not have a variable, but instead, it is a constant.

Answer:

D

Step-by-step explanation:

y = mx + b is the equation, where m = cost per week and b = cleaning supply cost (constant)

That means the equation is y = 50x + 25

forty children from an after school club went to the matinee. this is 25% of the children at the club. how many children are in the club

Answers

Number of children from an after school that went to the martinee = 40
Percentage of children from an after school that went to the martinee = 25%
Let us assume the number of children in the club = x
Then
25% * x = 40
(25x/100) = 40
x/4 = 40
x = 40 * 4
   = 160
So the total number of children in the club is 160. I hope the procedure is clear enough for you to understand. you can always use this method for solving similar problems without requiring any help from outside.
25% of 40 is 10. So there are still 30 kids in the club. :)

I dont understand this!!! What's the answer?

Answers

The answer is 1.

4x + 3x - 1 = 6

7x - 1 = 6      -Add the like terms

7x - 1 + 1 = 6 + 1      -Add 1 to both sides to 7x by itself

7x = 7

7x / 7 = 7 / 7       -Divide both sides by 7

x = 1

Hope I helped!

To put this into words, the equation is saying that one less than 4x + 3x is equal to 6.

First simplify by combining like terms. We see there is a 4x and 3x, which means that they are compatible with each other. The equation will then look like 7x - 1 = 6. If one less than 7x is 6, then this can also mean one more than 6 is equal to 7x. So add 1 to both sides:  7x - (-1 + 1) = (6 + 1)

--> 7x = 7, which means that x = 1.

Checking your work:

Now that we know the value of x, substitute that for x in the equation like this:

4(1) + 3(1) - 1 = 6

--> 4 + 3 - 1 = 6

---> 7 - 1 = 6

So you know it's true that x = 1. Hope this was helpful.