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3 years ago

Solve the inequality for t. 11 ≤ t + 4 Simplify your answer as much as possible.

Mathematics

2 answers:

Softa [21]3 years ago

8 0

Answer:

t≥7

Step-by-step explanation:

11≤t+4

4 moves to the other side hence its sign changes

11-4≤t

7≤t

they change sides

t≥7

the sign was facing t so this does not change

saveliy_v [14]3 years ago

3 0

Answer:

Step-by-step explanation:

Here are some steps to help you

Step 1

11 ≤ t + 4 We are gonna simplify

Step 2

11 ≤ t + 4 simplify

t+4≥11

Step 3

t+4≥11 Subtract 4 from the sides

t≥7

So therefore, your answer will be t≥7

Hope this helps

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What two numbers are the sum of 42,000?

faltersainse [42]

21,000+21,000=42,000

I hope it helps

3 0

3 years ago

Read 2 more answers

. An amusement park bought some arcade games that cost $2,000 each and photo booths that cost $3,200 each. A total of 22 of both

geniusboy [140]

Answer:

14 arcade games and 8 photobooths were purchased

Step-by-step explanation:

x will represent the number of arcade games

y will represent the number of photobooths

We know that 22 total machines were bought which means that x+y=22

We also know that the total was 53600 which means that 2000x+3200y=53600

We can use substitution to solve this

x+y=22

x-22= -y

-x+22=y

Then plug this in for y in the next equation

2000x+3200(-x+22)=53600

Solve this and get x=14

Then plug in x=14 into any equation (I will choose the x+y one because that's easiest to solve)

14+y=22

this means y=8

This means that 14 arcade games and 8 photobooths were purchased

I double checked the math on desmos and it is correct

6 0

3 years ago

Please help me with these 5 questions!

kipiarov [429]

Answer:

Part 2) Option D. yes; k = 1/4 and y = 1/4x

Part 6) Option D. y = 1/5x-1

Part 8) Option C. line b

Part 11) Option D. -1/5

Part 15) Option A. line a

Step-by-step explanation:

Part 2) we know that

A relationship between two variables, x, and y, represent a directly variation if it can be expressed in the form $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem the line passes through the origin

therefore

Yes. y varies directly with x

Let

A(4,1)

The constant k is equal to

$k=y/x$

substitute

$k=1/4$

the equation is equal to

$y=(1/4)x$

Part 6) we know that

The y-intercept of the trend line is -1 (For x=0)

The slope of the trend line is positive

The x-intercept of the trend line is 5 (For y=0)

therefore

the equation is equal to

$y=(1/5)x-1$

Part 8) we have

$y+4=-\frac{2}{3}x$

This is the equation of a line into point slope form

The slope is negative $m=-2/3$

Pass through the point (0,-4) ----> y-intercept

The x-intercept is equal to

$0+4=-\frac{2}{3}x$

$x=-4*3/2=-6$

therefore

Is the line b

Part 11)

What is the slope of the line through the points (–2, –1) and (8, –3)?

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{-3+1}{8+2}$

$m=\frac{-2}{10}$

simplify

$m=-\frac{1}{5}$

Part 15) we have

$y=3x-2$

The slope is positive $m=3$

The y-intercept is -2 (For x=0)

The x-intercept is (For y=0)

$0=3x-2$

$3x=2$

$x=2/3$

therefore the line is a

7 0

3 years ago

In Elizabeths town streets run east and west and avenues run north and south each street and avenue is one block apart. if eliza

emmainna [20.7K]

The correct answer is:

15 blocks.

Explanation:

"As the crow flies" means in a straight line. This will be a diagonal line connecting the two locations.

Elizabeth's house can be represented by the ordered pair (1, 4), where the x-coordinate represents the street number and the y-coordinate represents the avenue number. Using this same system, the restaurant is represented by the ordered pair (10, 16). To find the length of the line segment that would connect the we use the distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
\\=\sqrt{(10-1)^2+(16-4)^2}
\\=\sqrt{(9)^2+(12)^2}
\\=\sqrt{81+144}=\sqrt{225}=15$

5 0

3 years ago

46.2 x 10 to the power of -2 Can someone show me the work to this problem

irga5000 [103]

The answer is .462 It's just mulitplying

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4 years ago