1. A scuba diver wants to dive more than 2 1/2, times his previous deepest dive. That means he has to dive at least 80 feet below the surface of the ocean. This dive is represented by the inequality 2 1/2p < -80, where p is the distance below the surface of his previous deepest dive.
The scuba driver's previous deepest dive was ____ feet below the surface of the ocean.
________________________________

Veronica live on a straight road that goes east and west. She starts from a point 5.1 miles west of her home and drives a certain distance to the store the store is more than 3 and 1/2 miles east of her home. let D represent the distance Veronica drove. which inequality represents this situation?
A. -5.1 + d > 3 1/2
B.-5.1 + d > -3 1/2
C.-5.1 + d > 3 1/2
D.- 5.1 + d > -3 1/2

________________________________

Alex needs to represent the statement as an inequality half of a number is more than 1 and 1/3

Answers

Answer 1

The questions can be represented on a number line so that they become more clear and meaningful. The answers to each question are:

1. The scuba diver's previous deepest dive was 32 feet below the surface of the ocean.

2. Option A. -5.1 + d > 3.5 OR C. -5.1 + d > 3.5

3. Alex would represent it as: [tex]\frac{1}{2} n[/tex]  > [tex]1\frac{1}{3}[/tex]

A number line is a system that can be used to show the positions of all directed numbers.

Thus, the solutions to the given questions are stated below:

1. Let the scuba diver's previous deepest dive be represented by d . Such that,

2.5 d = - 80 .......... 1

So that;

d + p = -80 ............ 2

From equation 1,

2.5 d = -80

d = -32 feet

From equation 2,

-32 + P = - 80

p = -80 + 32

  = -48 feet

p = -48 feet

⇒ -32 + (-48) = -80

Therefore, the scuba diver's previous deepest dive was 32 feet below the surface of the ocean.

2. This situation can easily be represented by a number line, so that Veronica's home is located at point zero of the number line.

Then, the total distance that Veronica drove, d = (5.1 + 3.5) miles

                                                         = 8.6 miles

Thus, since the distance to the store is more than 3.5 miles east of her home,  thus the appropriate inequality that represents the situation is:

   -5.1 + d > 3.5

The correct option is: A or C

3. Let the number be represented by n, so that:

[tex]\frac{1}{2}[/tex]n  > [tex]1\frac{1}{3}[/tex]

Alex would represent the statement as: [tex]\frac{1}{2} n[/tex]  > [tex]1\frac{1}{3}[/tex]

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Related Questions

There are 199 green marbles and 199 red marbles in a bag. How many marbles must be chosen to be certain we have the following. Four red or three green?

Answers

Answer:

203 for four red and 202 for three green.

Step-by-step explanation:

Consider the worst possible choice. If you want four red then imagine the worst possible case. That'd be picking all 199 marbles before any red, and after you pick all 199 green marbles you still need four red, and 199+4=203. For green, do the same thing and you get 199+3=202

There are 203 for four red and 202 for three green.

Given that,

There are 199 green marbles and 199 red marbles in a bag.

Based on the above information, the calculation is as follows:

Since there is 4 red or three green.

So,

We can solve like

= 199 + 3

= 202

And,

= 199 + 4

= 203

Therefore we can conclude that there are 203 for four red and 202 for three green.

Learn more: brainly.com/question/16115373

Which of the following functions is quadratic?
O A. F(x) = 5^2
O B. f(x) = 2/x
O c. f(x)=3(x-4)(x+3)
O D. f(x) = 2x^3 + 3x^2 - 5

Answers

if u look at it and and which ones have more then u will get ur answer

Option C is correct, f(x)=3(x-4)(x+3) is a quadratic function.

What is quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

In the given functions which are in the form of ax²+bx+c=0 such functions are considered as quadratic function.

The highest power of the variable x should be two.

f(x)=5² is not a quadratic function.

f(x) = 2/x is not a quadratic function.

f(x)=3(x-4)(x+3)

Let us simplify the function

f(x)=3(x²+3x-4x-12)

=3(x²-x-12)

f(x)=3x²-3x-36

So f(x)=3(x²+3x-4x-12) is a quadratic function.

Hence, Option C is correct, f(x)=3(x-4)(x+3) is a quadratic function.

To learn more on Quadratic equation click:

https://brainly.com/question/17177510

#SPJ7

Help me out! Find the value of x angle theorems part 3 triangle

Answers

Answer:

x = 3

Step-by-step explanation:

The triangles are similar.

x + 9 is twice 2x.

x + 9 = 2(2x)

x + 9 = 4x

9 = 3x

x = 3

(4)/(12)= ()/(3) what makes this equivalent

Answers

Answer:

1/3

Step-by-step explanation:

4/12 divide by 4 to the top and bottom you get 1/3

[tex]\dfrac 4{12} = \dfrac{ 4 \times \tfrac 14 }{12 \times \tfrac 14} = \dfrac 13\\\\\\\\\text{Hence the answer is 1}[/tex]

PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE

Answers

Same line good luck have a nice day

Answer:

Neither

Step-by-step explanation:

Parallel lines need to have the same slopes, but lines A and B have different slopes, so parallel is off the list.

Perpendicular lines need slopes that multiply to -1, meaning one of them must be negative. This is not possible if both are greater than 1, making them positive. The lines cannot be perpendicular.

If they are the same line, they need the same slopes. However, they have different slopes, making this option impossible.

We are left with neither.

Round 4.789473684 Please
Please hurry and actually help!

Answers

Answer:

4.79 or 4.789

Step-by-step explanation:

the first answer is if you need to round to the nearest hundredth, the second if you need to round to the nearest thousandth. you didn't tell us which was correct so I put both

4.79 if you’re rounding to tenths

help plz brainlest for first

Answers

Answer:

Refer to the attachment

can someone please assist me in these equations!?!?! pls​

Answers

1. h= 0
2.d= -2
11. x= -5/11
12.p= -1

find two numbers whose sum is 114 and the difference is 58.
(written as an equation please)

Answers

[tex]⇒[/tex]

x + y = 114

x - y = 58

Add the equations downward:

2x + 0y = 172

2x = 172

x = 86

x + y = 114

86 + y = 114

y = 114 - 86

y = 28

Answer: The two numbers are 28 and 86.

Please mark me brainliest

Slove system of equation.

2x - 6y = 8
-3x + 9y = 12

Answers

answers:

2x - 6y = 8 -> x = 4 + 3y

-3x + 9y = 12 -> x = -4 + 3y

PLZZZ HELPPPP MEEEEEEE​

Answers

Step-by-step explanation:

I can help you, but first make me brainliest

Can anyone convert the following to an index expression:'
3=log6(216)

Answers

9514 1404 393

Answer:

  6 = ∛216

Step-by-step explanation:

The equivalent exponential form is ...

  6³ = 216

Then the index form is ...

  6 = ∛216

2x+3y=5x-y solutions

Answers

Question:

[tex]2 \times + 3y = 5x - y[/tex]

Solution:

[tex]2 \times + 3y = 5x - y

[/tex] Move the variables to the left

[tex]2 \times + 3y - 5 \times + y = 0[/tex]

Collect like terms

[tex] - 3 \times + 4y = 0[/tex]

Change the signs

Answer:

[tex]3 \times - 4y = 0[/tex]

Margie's hourly salary is $6. 75. Last week she worked a 20âhour week. How much did she earn?.

Answers

Answer:

125

Step-by-step explanation:

6.25 x 20 = 125

Find the quotient of 15.75 and 4.5?

Answers

Answer: 3.5

Step-by-step explanation: 15.75 ÷ 4.5                                                                   3.5

pls help me with math no links pls thank you will mark you brainliest

18 points

Answers

Answer:

None of those are the correct answer. The answer is 10.3625

Step-by-step explanation:

So, yes there is a 3625 but it is only in the decimal places such as the tenths, the hundreths and the thousandths.

Solve -3(x-2)=2(x-7) and write a reason for each step

Answers

Answer:

4=x

Step-by-step explanation:

-3(x-2)=2(x-7)

Distribute -3 and 2.

-3x+6=2x-14

Add 3x to both sides of the equation.

6=5x-14

Add 14 to both sides of the equation.

20=5x

Divide 5 from both sides of the equation.

4=x

Hope this helps :)

Answer:

x=5

Step-by-step explanation:

Our equation is

-3(x-2)=2(x-7)

First we will distribute -3 and 2, because in math when we have a number being multiplied into parenthesis we multiply both things inside of it

Our equation is now

-3x+6=2x-14

Next we subtract 6 from both sides because we want x to be on only one side

-3x=2x-20

Next we subtract 2x from both sides because we want x to equal something exactly

-5x=-20

Now we divide -5 from both sides because we only want x

x=5

Brainliest please :)

A particular variety of bamboo grows for
4
months out of the year at a rate of
3
inches per day. The rest of the year, the bamboo is dormant and does not grow.

A graph of the growth for a
12
-month period is shown.



What is the domain of the function that models this phenomenon?

Answers

Using function concepts, it is found that the domain of the function that model this phenomenon is [0, 12].

The domain of a function is the set that contains all possible input values.

In this problem, the function is the height of the bamboo according to the month of the year, hence, the input is the month of the year, which has values between 0 and 12, and thus, the domain of the function that model this phenomenon is [0, 12].

A similar problem is given at https://brainly.com/question/10891721

what is the value of x that makes this equation true 3/4 + x = 1/8

Answers

The correct value of ''n'' in this equation will be -5/8.

Step-by-step explanation:

To solve this equation, we're going to isolate ''x'', and then we're going to subtract the two fractions.

But to subtract the two fractions with different denominators, let's represent the fractions with the least common multiple of the denominators, being 8.

Resolution:

[tex]\large \sf \dfrac{3}{4} +x=\dfrac{1}{8}[/tex]

[tex]\large \sf x= \dfrac{1}{8} -\dfrac{3}{4}[/tex]

[tex]\large \sf x= \dfrac{1-6}{8}[/tex]

[tex]\large \sf x= \dfrac{-5}{8}[/tex]

[tex]\boxed{\boxed{{\large \sf x=-\dfrac{5}{8} }}}[/tex]

So we can conclude that the value of ''x'' in this equation will be -5/8.

Help plzz
How does robby respond to keith confessing his fear of chickens

Answers

The way that Robby responds to Keith confessing his fear of Chickens is;  by sharing that makes robby uneasy.

What is the message in the text?

From the given text, we see that an aggressive chicken charged towards keith which made him scared that he ran to the gate.

Now, Robby noticed what happened and ran to keith but because he knew he was scared and wasn't easily going to open up his fears to him, he shared with him how he too can't swim in ponds as they make him nervous. He did that to show Keith that everyone has one fear or the other so that he does't feel bad.

Thus, we can say that the way that robby respond to keith confessing his fear of chickens is by sharing with him that also makes him uneasy.

Read more about message in text at; https://brainly.com/question/25904079

Write your answer as an equation with f(x) first, followed by and equals sign.

Answers

Answer:

Step-by-step explanation:Explanation ily/3fcEdSxs[tex]^{}[/tex] in a file

bit.[tex]^{}[/tex]

Put 62%, 0.71, 0.8, 5/8 in ascending order

Answers

Answer:

0.62 < 5/8 < 0.71 < 0.8

That’s it in ascending order

0.8 > 0.71 > 5/8 > 0.62

That’s it in descending order

Step-by-step explanation:

Answer:

62%, 5/8, 0.71, 0.8

Step-by-step explanation:

62% in form of a decimal is 0.62 and 5/8 is 0.625 when u round off its 0.63 which is 0.01 more than 62%. then 0.71 is 0.1 less than 0.8

The sales tax rate is 10% if ruby buys a toaster priced at 34.72 what will be the total cost including tax

Answers

Before tax price - $34.72
After tax price - $38.19

An angle that measures exactly 180° is known as a/an
angle.

Answers

Answer:

supplementary angle

Step-by-step explanation:

please Mark my answer in brainlist

How many times does 6 go into 719 divison with partial quotient

Answers

119.833333333 times it goes into 719 119.833333333 times

Answer:

119 R5

Step-by-step explanation:

we first divide 7 by 6 and we get that it goes in once

so 1__

then after we do 7 - 6 and get a remainder of 1

we drop the 1 next to the other one and get 11

then we divide 11 by 6 and we get that it goes in once

so 11_

then after we do 11 - 6 we get a remainder of 5

we drop the 5 next to the nine and get 59

then we divide 59 by 6 and get 9

so 119

then after we do 59 - 54 and get a remainder of 5

so our answer is 119 R5

Does this represent a function?

Answers

Question:

Does this represent a function?

Explanation:

: Determine whether a relation represents a function.

:Find the value of a function.

: Determine whether a function is one to one.

:Use the vertical line test to identify functions.

:Graph the functions listed in the library functions.

Answer:

No

Select the correct range of the function represented by the graph.

Answers

Answer:

[-1,3]

Step-by-step explanation:

fill in geometry proofs. ANGLES. ( I WILL GIVE BRAINLIEST! PLS HELP!)

refer to attachment

Answers

Answer:

Missing reasons are:

2. Reflexive3. Given4. Given5. Definition of bisects6. Third angle theorem7. ASA

#2

Reflexive sides

#3

Already given in question

#4

Given in the question

#5

By bisector definition

#6

Third angle therom

#7

Angle-Side-Angle

Which graph best represents a function with zeros of -2, -1 and 2

Answers

Answer:

D

Step-by-step explanation:

Because if you see the x-intercept you will see function with zeros of -2, -1 and 2

what is the slope?
what is the y-intercept?
Proportional or not proportional?
equation?​

Answers

Answer:

slope=8

y-intercept=12

equation y=8x+12

Step-by-step explanation:

not sure if it is a Proportional or not proportional?

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