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

A right triangle is formed using point C and H as two of the vertices. Which point best represents the coordinates for point X, the third vertex of a triangle?

Answers

Answer:

um probably something like CX and HX

Step-by-step explanation:

no graph

Transform y = cot(x) to get the graph of. Which type of transformation is not performed? vertical shift horizontal shift vertical stretch horizontal stretch.

Answers

Transformation involves changing the form of the function

The transformation that is not performed is (a) vertical shift

The function is given as:

[tex]\mathbf{y = cot(x)}[/tex]

From the complete question, the transformed function is:

[tex]\mathbf{y=3cot[\frac 15(x+2)]}[/tex]

On y = cot(x); start by translating the function 2 units left.

The rule of this transformation is:

[tex]\mathbf{(x,y) \to (x +2,y)}[/tex]

So, we have:

[tex]\mathbf{y = cot(x + 2)}[/tex]

Next, stretch the function horizontally by a factor of 1/5

The rule of this transformation is:

[tex]\mathbf{(x,y) \to (\frac 15x,y)}[/tex]

So, we have:

[tex]\mathbf{y=cot[\frac 15(x+2)]}[/tex]

Lastly, stretch the function vertically by a factor of 3

The rule of this transformation is:

[tex]\mathbf{(x,y) \to (x,3y)}[/tex]

So, we have:

[tex]\mathbf{y=3cot[\frac 15(x+2)]}[/tex]

From the above transformations, we have:

Horizontal shift Vertical stretch Horizontal stretch

Hence, the transformation that is not performed is (a) vertical shift

Read more about transformations at:

https://brainly.com/question/13801312

Answer:

vertical shift

Step-by-step explanation:

edge

1.) solve for x: 4x+9=25

2.) solve for x: 5x+12=62

Answers

1 4x+9=25 Answer: x=4
2: 5x+12=62 Answer: x=10

Answer:

1. x=4

2. x=10

Step-by-step explanation:

4x+9=25

Subtract 9 from both sides.

4x+9-9=25-9

>>4x=16

Then, divide 16 by 4.

x=16/4

>>x=4.

5x+12=62

Subtract 12 from both sides.

5x+12-12=62-12

>>5x=50

Divide 50 by 5.

x=50/5

x=10.

Hope this helps! Have a great day!

helppp,no links or spam

Answers

Answer: 6.45 x 10^10

Step-by-step explanation:

Because 10^5 and 10^4 both have 10, we can add the exponents to get 10^9.

Multiplying 7.5 and 8.6 gets you

7.5 * 8.6 = 64.5

We can move the decimal up a place to get 6.45 and add another power to 10^9 to get 10^10

Your final answer should be 6.45 x 10^10

Answer:

C 6.45x 10 to the power of 10

Step-by-step explanation:

10 to the power of 5 is 100,000. 7.5x100,000 is 750,000.

10 to the power of 4 is 10,000.

10,000x8.6 is 86k

now we do 750,000x86,000 which is 64,500,000,000

10 to the power of 10 is 10 billion times 6.45 is 64,500,000,000

Which of the following lists is in order from smallest to largest?

Answers

The answer is

1.1%, 0.1, 1/9, 2/11

Step-by-step explanation:

convert the fractions to decimals, the percentage to decimal.

then just order the numbers from smallest to biggest

1/9= 0.11

2/11=0.18

1.1%/100= 0.011

Short response: the table shows the balance of a student bank account at various times estimate how much money is in the student bank account in week 6. justify your answer. HELP ME PLS.BRAINLIEST

Answers

Answer: It would be 102

Step-by-step explanation:

what is the difrence between domain and range

Answers

Answer:

Domain is the set of all possible input values is any relation. It means the output value in a function depends upon each member of domain. Domain value vary in different mathematical problems and depends upon the function for which is it solved. If we talk about cosine, then domain is the set of all possible real numbers either above the 0 value or below the 0 value, it could also be 0. While for square root, the domain value could not be less than 0, it should be minimum 0 or above 0. In other words, you can say that domain of square root is always 0 or positive value. For complex and real equations, the domain value is a subset of complex or real vector space. If we want to solve a partially differential equation for finding the value of domain, then your answer should lie within three dimensional space of Euclidean geometry.

Step-by-step explanation:

simplify 1 by 4 plus 1 1 by 4 plus 1 2 by 5​

Answers

Solution:.[tex] \frac{1}{4} + \frac{11}{4} + \frac{12}{5} \\ = \frac{1 \times 5 + 11 \times 5 + 12 \times 4}{20} \\ = \frac{5 + 55 + 48}{20} \\ = \frac{108}{20} \\ = 5 \frac{8}{20} \\ = 5 \frac{2}{5} [/tex]Answer:

[tex]5 \frac{2}{5} [/tex]

Hope it helps.

Do comment if you have any query.

Answer:

5 2/5

Step-by-step explanation:

-2+3y=9 ; y=2x+7 i need help

Answers

Answer:

Here is your 2 answers.

Step-by-step explanation:

First question: -2+3y=9

step 1 simplify first so now it's 3y-2

step 2 add both sides by 2 now its 3y=11

step 3 divide both sides by 3 so on the left both sides should cross out leaving only y=11/3 so this is your first answer

Second question:

I attach the link this question acquires a graph to plot I believe so here is the answer for the second one hope I help please mark brainliest if I did! <3

Find the perimeter. Simplify the answer.

Answers

Answer:

21u-26

Remember to add like terms

Find the volume of the figure. Round your final answer to the nearest hundredth if necessary.

Answers

Answer:

Look at the photo I have sent

PLEASE HELP ITS URGANT WILL MAKE BRAINLIEST PLEASE HELP MEEE

Answers

Answer:

A is the answer

Step-by-step explanation:

look at the attached image

. You want to buy a book worth Php 220.50. You can buy it only by making a sacrifice of not buying a soft drink every day. If soft drinks in your school cost Php15.75, how many days do you need to save before you can buy the book? * A. 13 B. 14 C. 15 D. 16

Answers

Answer:

B-14

Step-by-step explanation:

Divide 220.50 by 15.75 and you will get 14

Hope it can help you lovelots

5x - 3 + 7y
x= 3 y= -7

Answers

The answer is -37! You would substitute the numbers you were given for the variables so the equation would become 5(3) -3 + 7(-7)

Choose which diagram shows the correct markings of the sides and angles of the following congruent triangles.

Answers

Answer:

D IS THE CORRECT ANSWERRR

Step-by-step explanation:

IN DIAGRAM D

G = Q

I = R

H = S

SO, THEY ARE SIMILAR

Define suitable populations from which the following samples are selected: (a) Persons in 200 homes in the city of Richmond are called on the phone and asked to name the candidate they favor for election to the school board. (b) A coin is tossed 100 times and 34 tails are recorded. (c) Two hundred pairs of a new type of tennis shoe were tested on the professional tour and, on average, lasted 4 months. (d) On five different occasions it took a lawyer 21, 26, 24, 22, and 21 minutes to drive from her suburban home to her midtown office.

Answers

Using sampling concepts, it is found that the suitable populations are:

a) All Richmond residents.

b) Results of all coin tosses.

c) All pairs of the new type of tennis shoe.

d) The average time on all days is takes to drive from her suburban home to her midtown office.

An example of sampling is asking a sample of 500 Buffalo Bills fans if they think their offense should run the ball more.

The population is all Buffalo Bills fans.

Hence, following the example, first identifying the sample and then expanding it for the population the items are answered.

Item a:

Sample of 200 Richmond homes, hence, the population is all Richmond residents.

Item b:

Sample from the results of 100 coin tosses, hence the population is the results of all coin tosses.

Item c:

Sample from 200 pairs of the new tennis shoe, hence the population is all the pairs of this new tennis shoe.

Item d:

Sample for the time it took to drive from her suburban home to her midtown office of 5 days, hence, the population is the time for all days.

A similar problem is given at https://brainly.com/question/25122507

PLSS HELP ASAP ILL GIVE BRAINLIEST PLS THANKS

Answers

4.7 is the correct answer

How to find the null and alternative hypothesis.

Answers

The actual check begins by considering 2 hypotheses. they're referred to as the null hypothesis and therefore the various hypothesis.

Find the area of the similar
figure.
18cm
15cm
Area = 50cm2
Area = [?]cm2
-

Answers

Answer:

270

Step-by-step explanation:

100 if u get this right!

Answers

2 because it is the number being added to the zero intercept in the equation

Answer:

●y = mx + c

c = intercept

y = 9x + 2

intercept c =2

aidan runs every morning before he goes to work.on Sunday,he ran 0.54km, on Monday he ran 1.25km,on Tuesday he ran 1.50km, on Wednesday he ran 1.75km and on Thursday he ran 2.30km.His goal was to run10km in these five days.dis aidan meet his goal?how long did he run?estimate and find the solution. ​

Answers

Answer:

no

Step-by-step explanation:

0.54 rounded to the nearest one is 1

1.25 is 1

1.50 is 1

1.75 is 2

2.30 is 2

all that added would give you 7 which is less than 10

the exact number is also 7.34

Elisha is renting a limo to take her friends out for her birthday. The limo company charges a reservation fee of $129 and $65 per hour. Her total bill was $584. Write and solve an equation to find the number of hours, h, Elisha rented the limo

Answers

65h+129=584
584-129= 455
455/65= 7 hours she rented the limo

Find the equation of the line with slope m = 4/5 that contains the point (10, 11)

Answers

Answer:

Point slope : y = 4/5(x-10)+11

Slope intercept : y = 4/5x + 3

Step-by-step explanation:

Use Point slope

y = 4/5(x-10)+11

Simplify for slope intercept

y = 4/5x + 3

how many kilograms of pure water is to be added to 100 kilograms of a 30% saline solution to make it a 10% saline solution

Answers

Answer:

  200 kg

Step-by-step explanation:

If w is the amount of water added, then the concentration of the solution is ...

  salt/solute = 100(0.30)/(100 +w) = 0.10

  30 = 10 +0.10w . . . . . simplify

  20 = 0.10w . . . . . . . . subtract 10

  20/0.10 = w = 200 . . . . divide by 0.10

200 kg of water must be added to dilute the solution to 10%.

HELPPPPP ASAP!!!! I’m on a limit

Answers

Answer:

look at the photo.........

CAN SOMEONE HELP ME PLEASE ASAP!

Answers

The width is 21 centimeters.

Answer:

the answer is 21 cm

Step-by-step explanation:

as doing by formulae

Is the system of equations consistent and independent,
consistent and dependent, or inconsistent?
y= -1/2x +3
y= 4x + 2
Select the correct answer from the drop-down menu.
Choose

Answers

Answer:

Consistent and independent

Step-by-step explanation:

If two lines intersect, then the following things are true.

1. they have different slopes.

2. one solution.

3. The system of equation is consistent and independent

Find the length x. Round to the nearest tenth.

A.) 3.4
B.) 9.4
C.) 3.6
D.) 6.6

Answers

Answer:

A

Step-by-step explanation:

Mark brainliest please

what year was it, exactly 4 centuries before 1965?

Answers

Based on the number of years in a century, we can calculate that the 4 centuries before 1965 was 1565.

A century refers to a period of 100 years.

If we are looking for a period of 4 centuries therefore, this would be:

= 4 x 100

= 400 years

4 centuries before 1965 would therefore be:

= 1965 - 400

= 1565

In conclusion, the answer is 1565.

Find out more at https://brainly.com/question/17498856.

Which shows the equation below written in the form ax2 + bx + c = 0?
x + 9 = 4(x-1)2
A. 4x2 - 7x+ 13 = 0
B. 4x2 - 9 x 13 = 0
C. 4x2 - 7x- 5 = 0
D. 4x2 - 9x-5= 0
SUBMIT

Answers

Answer: D. 4x2-9x-5=0

Step-by-step explanation:

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