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Kryger [21]
4 years ago
11

A system of linear inequalities is shown below:

Mathematics
2 answers:
Volgvan4 years ago
5 0
Solve the inequalities just like a normal equation

y - x > 0
y > x  which means that everything in the graph should be filled in above the line y = x

x + 1 < 0
x < -1

so everything left of the vertical line x = -1 should be filled in
slavikrds [6]4 years ago
5 0

Answer:

The solution of the system of linear inequalities  in the attached figure N 3

Step-by-step explanation:

we have

y-x > 0 -----> inequality A

The solution of the inequality A is the shaded area above the red dashed line

see the attached figure N 1

x+1 < 0 -----> inequality B

x < -1

The solution of the inequality B is the shaded area to the left of the blue dashed line

see the attached figure N 2

The solution of the system of linear inequalities  in the attached figure N 3

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A company makes 140 bags. 39 of the bags have buttons but no zips. 21 of the bags have zips but no buttons. 23 of the bags have
sleet_krkn [62]

Subtraction is a mathematical operation that reflects the removal of things from a collection. The number of bags that zips on them is 78.

<h3>What is subtraction?</h3>

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

Given the number of bags that the company makes is 140. 39 of the bags have buttons but no zips. 21 of the bags have zips but no buttons. 23 of the bags have neither zips nor buttons.

Bags that have both zip and button

= Total number of bags - Number of bags with zips but no buttons - Number of bags with buttons but no zips - Number of bags with nor zips nor the buttons

= 140 - 21 - 39 - 23

= 57

Now, the number of bags that has zips will be the bags that only have zips and the number of bags that has zips and buttons. Therefore, the number of bags with zips is,

n = Bags that have both zip and button + Number of bags with zips but no buttons

   = 37 + 21

   = 78

Hence, the number of bags that zips on them is 78.

Learn more about Subtraction:

brainly.com/question/1927340

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4 0
2 years ago
Read 2 more answers
A bank features a savings account that has an annual percentage rate of 3.5% with interest compounded quarterly. Vanessa deposit
vazorg [7]

Answer:

APY = 0.04 or 4%

Step-by-step explanation:

Given the annual percentage rate of 3.5% that is compounded quarterly, and a principal of $6,500:

We can use the following formula to solve for the annual percentage yield (APY):

APY =  (1 + \frac{r}{n})^n - 1

where <em>r</em> = interest rate = 3.5% or 0.035

<em>           n</em> = number of compounding periods per year = 4

We can plug in the values into the equation:

APY =  (1 + \frac{r}{n})^n - 1

APY =  (1 + \frac{.035}{4})^4 - 1

APY =  (1 + 0.00875)^4 - 1

APY =  (1.00875)^4 - 1

APY = 1.03546 - 1  

APY = 0.04 or 4%        

8 0
3 years ago
115% of what number is 120
malfutka [58]
115% is the same as 1.15
some number = x

115% of some number is 120
1.15 of x is 120
1.15 * x = 120

x = 104.3478
<span>x ≈ 104.3</span>
7 0
3 years ago
An automobile travels 305 miles on 16 2/3 gallons of gasoline.
Nimfa-mama [501]

Answer:

Step-by-step explanation:

Cost of a Road Trip Jesse's car gets 30 miles per gallon of gas. (a) If Las Vegas is 285 miles away, how many gallons of gas are needed to get there and then home? (b) If gas is $3.09 per gallon, what is the total cost of the gas for the trip.

6 0
3 years ago
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Write an equation for the vertical translation y=-2/9 |x| -7; 1 units down
klasskru [66]

Answer:

y = -2/9 |X| - 8

Step-by-step explanation:

I'm not certain whether the -7 is part of the |X| or it's just out of the equation. But shifting an equation up or down is very intuitive.

If you want to move an equation up a certain unit, you just add that many units (positive) onto the end of an equation. The same goes for moving a unit down, where you subtract that many units you want to go down.

8 0
3 years ago
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