Sally begins hiking at an elevation of 224 feet. Then, she descends 131 feet

and climbs 67 feet higher than her current position. She then descends

163 feet. Write an addition sentence to describe the situation. Then determine

and interpret the sum.

Answers

Answer 1

Answer:

The sum −3 is an indication that Sally is 3 feet below her initial position.

Step-by-step explanation:

Represent the distances going up (ascend) as positive and distances going down (descend) as negative so that the sum is:

224 + (-131) + 67+ (-163)

Add by using the commutative property:

224 + 67 + (-131) + (-163) = 291

The sum −3 is an indication that Sally is 3 feet below her initial position.


Related Questions

Tamara earns $15 an hour at her job working 25 hourse per week. If 21% of her paycheck goeas to taxes, what is Tamara's monthly cash inflow? (Assume this is her only source of income and that there are 4 pays per month.)

Answers

$15x25 = $375
375-21% = $296.25
$296.25x4 = $1185

Performance Task
17. The graph shows the relationship between
the total cost and the number of pounds
of rice purchased
40
30
Total cost (5)
20
10
0
2 4 6 8
Amount of rice (lb)
Part A: What does (6, 18) represent?
Part B:Which point represents the unit
price?
Part C: How many pounds would you
have to buy for the total to be 512?
Explain how to find the answer

Answers

Answer:

Sorry but all I know is that part a is 6 pounds will cost $18

Step-by-step explanation:

x is an irrational number between 7 and 10. find a value for x

Answers

Answer:

[tex]\boxed{ x = \sqrt{8.5} }[/tex]

Step-by-step explanation:

Hey there!

Irrational numbers are numbers that cannot be expressed as fractions.

[tex]\sqrt{8.5}[/tex]

=2.915475947422650235437076438772791538260699167442985977225003372433905030998356313832620163226517699278394811037677455675906936808085403142951613039412223590832527179885119634084324188271634828210865

The shown decimal goes on for 200 digits.

And it cannot be put into fraction form, meaning it is irrational.

Hope this help :)

Literally, irrational numbers are numbers that cannot be expressed as simple fractions. Some irrational numbers between 7 and 10 are 7.4833,7.9372,8.3666,8.4852,9.4868.

Given that

[tex]Min = 7[/tex]

[tex]Max = 10[/tex]

There are several ways to generate the irrational numbers between the given range.

One of the ways is as follows:

First, we list the pairs of relatively prime integers between the given range.

They are:

[tex]x = \{(7,8),(7,9),(7,10),(8,9),(9,10)\}[/tex]

Calculate the product

[tex]x = \{56,63,70,72,90\}[/tex]

Take the positive square root of the numbers to generate some irrational integers

[tex]x = \{\sqrt{56},\sqrt{63},\sqrt{70},\sqrt{72},\sqrt{90}\}[/tex]

[tex]x = \{7.4833...,7.9372....,8.3666...,8.4852....,9.4868....\}[/tex]

Read more about irrational numbers at:

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If the data in a scatter plot form a nearly perfect circle, the Pearson correlation would be approximately ____.

Answers

Answer:

zero

Step-by-step explanation:

Pearson correlation coefficient represented by r is calculated by dividing  the covariance by the standard deviation of one variable(x) multiply by the standard deviation of the other variable(y).

A scatter plot diagram is a graphical display of data that in which these two variables are observed simultaneously.

A positive correlation is said to have a positive slope which means that the two variable x and y increases in x as there is increase in y.

On the other hand , when there is an increase in x and a decrease in y, the correlation between x and y is said to be negative and the corresponding regression line has a negative slope.

Occasionally, there may be no apparent association between x and y. In that wise, the data in the scatter plot diagram usually form a nearly perfect circle and are said to have a zero correlation.

Triangle QRS is a right triangle with the right angle at vertex R. The sum of m∠Q and m∠S must be equal to 45°. greater than 45° and less than 90°. equal to 90°. greater than 90° and less than 180°.

Answers

Answer:

     The sum of m∠Q and m∠S must be equal 90°

Step-by-step explanation:

The measure of right angle is 90°

The sum of measures of angles in any triangle is 180°

so:

m∠Q + m∠S + ∠R = 180°

m∠Q + m∠S + 90° = 180°

m∠Q + m∠S = 180° - 90°

m∠Q + m∠S = 90°

In right triangle QRS with ∠R = 90° , the sum of m ∠Q and m ∠S must be equal to 90°.

What is right triangle?

"Right triangle is defined as the two dimensional figure with three sides and three vertices and angles enclosed in it, with one of the interior angle is of 90°."

Condition used

In ΔQRS

∠Q +  ∠R + ∠S = 180°

According to the question,

Given,

In right triangle ΔQRS,

∠R = 90°

Substitute the value in the above condition of triangle we get,

  ∠Q + 90° + ∠S =180°

⇒ ∠Q + ∠S =180°- 90°

∠Q + ∠S = 90°

Hence, in right  triangle QRS with ∠R = 90° , the sum of m ∠Q and m ∠S must be equal to 90°.

Learn more about right triangle here

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If you were to describe a reflection of triangle ABC, what information would you need to include in your description?

Answers

Answer:

you would add your points and where it is located

Step-by-step explanation:

Which value of p makes the equation 18+ 2 (3p – 8) = –37 true?
O p = -7.83
O p = -6.5
O p = -5
O p = 2.05

Answers

Answer:

p = -6.5

Step-by-step explanation:

Given:

18+ 2 (3p – 8) = –37

Solving for p:

18+ 2 (3p – 8) = –3718 + 6p - 16 = -376p + 2 = -376p = -37 - 26p = -39p = -39/6p = -6.5

Option 2 is correct in the list

please help me with this question

Answers

Answer:

422 cm²

Step-by-step explanation:

Surface area of the composite figure = (surface area of the upper cuboid + surface area of lower cuboid) - 2(base area of the lower cuboid)

Surface area of composite figure = [tex] (2(lw + lh + hw)) + (2(lw + lh + hw)) - 2(l*w) [/tex]

Upper cuboid has the following dimensions:

[tex] l = 4, w = 3, h = 8 [/tex]

Lower cuboid has the following dimensions:

[tex] l = 10, w = 7, h = 5 [/tex]

Plug these values into the formula

Surface area of composite figure

[tex] = (2(4*3 + 4*8 + 8*3)) + (2(10*7 + 10*5 + 5*7)) - 2(4*3) [/tex]

[tex] = (2(12 + 32 + 24)) + (2(70 + 50 + 35)) - 2(12) [/tex]

[tex] = (136 + 310) - 24 [/tex]

[tex] = 446 - 24 = 422 [/tex]

Surface area of composite figure = 422 cm²

. Find the value of p for which 2x2 + 6x + 3p = 0 has reciprocal roots.​

Answers

Hello, the product of the roots is

[tex]\dfrac{3p}{2}[/tex]

So, if there are reciprocal roots, their product is 1, and then

[tex]\dfrac{3p}{2}=1<=> p=\dfrac{2}{3}[/tex]

Thank you

Find the property for
9 • (-1 • x) = 9 • (-x)

Answers

distributive property

NEED HELP ASAP ALGEBRA 2​

Answers

Answer:

15

Step-by-step explanation:

Use the pythagorean theorem.

A² + B² = C²

In this case, A = 8, B is unknown, and C = 17. B is the side that we want to calculate.

8² + B² = 17²

64 + B² = 289

B² = 225

B = √225 = 15

A cell phone plan costs $20 a month and includes 200 free minutes. Each additional minute costs 5 cents. Assume that you use your cell phone for at least 200 minutes a month. If x is the total number of minutes a month, then your total cost C is given by:

Answers

Answer:

The total cost C  = $10 + $0.05·x

Step-by-step explanation:

The given parameters are

The cost of the cell phone plan per month = $20

The number of minutes of free calls that one can make in a month = 200 minutes

The cost of additional minutes of cell phone call = 5 cent

5 cents to a dollar = $0.05

The total number of minutes of calls made in a month = x

The time duration of a person's usage of the cell phone in a month > 200 minutes

The total cost C of a person's usage per month is given by;

C = $20 + $0.05 × (x - 200) = $20 + 0.05·x - $10

C = $10 + $0.05·x

Where x > 200.

Answer:

The total cost C  = $10 + $0.05·x

Step-by-step explanation:

Question (8 points)
Kirsten went to Champs and brought a pair of KD's for $99.99 and a shirt to match for $17.99. If Kirsten gave the
cashier $120, how much change will she get back

Answers

99.99+17.99= 117.98
120-117.98= 2.02
$2.02 is the amount she’ll get back

The base of a parallelogram is (2x + 3) units and the corresponding height is (3x – 2) units. Find the area of the parallelogram in terms of x. What will be the area of parallelogram if x = 30 units?please explain how you got the answer

Answers

Answer:

S = 6x² + 5x - 6

5544 sq. units

Step-by-step explanation:

Area of parallelogram is:

S = bh

Given:

b = 2x+3h = 3x -2

Then:

S = (2x + 3)(3x - 2) = 6x² - 4x + 9x - 6 = 6x² + 5x - 6

S = 6x² + 5x - 6

If x = 30, then plug it in the equation:

S = 6*30² + 5*30 - 6 = 5544 sq. units

AC = 5x - 8 and CD = 16 - 3x
x=
AD=​

Answers

Answer:

Step-by-step explanation:

5x - 8 = 16 -3x

8x - 8 = 16

8x = 24

x = 3

AC= 5(3) - 8 = 15 - 8 = 7

CD= 16 - 3(3) = 16 -9 = 7

7 + 7 = 14 = AD

The value of x and AD such that C is the midpoint of AD is 3 and 14 respectively.

What is a line segment?

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

Given the line segment AD with mid-point C

So,

AC = CD

5x - 8 = 16 - 3x

8x = 16 + 8

x = 3

So,

AD = 5x - 8 + 16- 3x

AD = 2x + 8

AD = 2(3) + 8 = 14

Hence "The value of x and AD such that C is the midpoint of AD is 3 and 14 respectively".

For more about line segment,

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Write an equation of the line and interpret the slope.

Answers

Slope = y-y/x-x
= (0-3)/(0-2)
= -3/-2
=3/2

It crosses the y axis at 0 so b = 0

y = mx + b
y = 3/2x + 0
In other words,

y = 3/2x

Good luck!

how to do this question plz answer me step by step plzz plz plz ​

Answers

Answer:

  no

Step-by-step explanation:

The circumference of a table is ...

  C = πd = π(180 cm) ≈ 565.5 cm

At 70 cm/guest, a table will accommodate ...

  565.5 cm/(70 cm/guest) = 8.08 guests

At 8 guests per table, the available 18 tables will accommodate ...

  (18 tables)(8 guests/table) = 144 guests

There is not enough space at 18 tables for 145 guests.

Answer:

No, it's not.

Step-by-step explanation:

First, find the circumference of the table:

C = 2πr

= 2 × 22/7 × 180/2

NOTE: Diameter/2 is equal to the radius because half of Diameter is a radius.

= 44/7 × 90

= 3,969/7

= 565.71 approximately 566cm²

Next, find how many guests can occupy a table:

566/70 = 8.08 approximately 8 guests.

Now, how many guests will be in 18 tables?

18 × 8 = 144 guests, but we need 145 guests, so it is not enough.

please help me on both with a explanation Will make you brainliest

Answers

Answer:

a...is wrong because it doesnt have a common denominator ..and its not a rational exponent .

11/12=0.916

in second one denominators are common and it is a rational exponent .

so the answer is b..

2/12=1/6

9/12=3/4

as you can see the denominator are common and its a rational exponent .

can someone just answer these lol idk what to say .

Answers

Answer:

1.) -11x        2.)-2x

Help fast plz are they similar or not

Answers

Not. They are not similar they are regular I think so
They are similar. You want to count the lines and see if they have the same amount then you check if they have the same amount on the coordiating side

Given, f(x) = 2x + 7
Find f(3)

Answers

Answer:

f(3) = 13

Step-by-step explanation:

f(x) = 2x + 7

replace x with 3

f(3) = 2×3 + 7

= 6 + 7

= 13

if the bacteria population is doubling every hour, can you estimate the bacteria population at the time of 10 hours?

Answers

Answer:

Bacterial population at the time of 10 hours = 1040000

Step-by-step explanation:

Let the function that defines the bacterial population after 'x' hours is,

p(x) = a(b)ˣ

Where a = Initial population

And 'x' = Duration or time

Since bacterial population is getting doubled every hour,

2a = a(b)¹

b = 2

Therefore, function will be,

p(x) = a(2)ˣ

From the graph attached,

Point (5, 32500) lies on the graph of the function.

32500 = a(2)⁵

a = [tex]\frac{32500}{32}=1015.625[/tex]

Therefore, the function will be,

p(x) = 1015.625(2)ˣ

For x = 10 hours,

p(10) = 1015.625(2)¹⁰

        = 1040000 bacteria

The estimation of the product of 52 and 188 is equal to what​

Answers

Answer:

[tex]\huge \boxed{\mathrm{10,000}}[/tex]

Step-by-step explanation:

We have to estimate the two numbers, we can round up the two numbers to nearest tens.

Estimate 52 to 50.

52 ≈ 50

Estimate 188 to 200.

188 ≈ 200

The estimated product would be:

200 × 50 = 10,000

Answer:

10000

Step-by-step explanation:

pls mark as brainliest

how many numbers lie between square of 36 and 37​

Answers

Answer:

73 numbers

Step-by-step explanation:

36²

=36 × 36

=1,296

37²

=37 × 37

=1,369

The total number that lies between 36² and 37² = 37² - 36²

=1,369 - 1,296

= 73 numbers

This is to say that, there are 73 numbers between 36² (1,296 ) and 37² ( 1,369)

Jasmine found a wooden jewelry box shaped like a right rectangular prism. What
is the volume of the jewelry box?
8 cm
6 cm
14 cm

Answers

Answer:

8cm

Step-by-step explanation:

8 because [tex]\sqrt[3]{8}[/tex] is 2

Answer:

672 cubic cm

Step-by-step explanation:

Hello!

To find the volume of a rectangular prism we use the equation

V = whl

V is volume

w is width

h is height

l is length

Put in what we know

V = 8 * 6 * 14

Solve

V = 672 cubic cm

The answer is 672 cubic cm

Hope this helps!

700,000,000+10,000,000+1,000,000+100,000+40,000+2,000+200+7 write the standard form above

Answers

Answer:

712,402,207

Step-by-step explanation:

;)

Answer: 711,142,207

Step-by-step explanation:

How is inductive reasoning used to recognize mathematical relationships?


Answers

Answer:

A general way of explaining this is

Suppose that we have a given property (or a pattern if we are working with a series of numbers):

Now, if that property is true, for example, for the numbers 1, 2, 3... etc.  Then we can suppose that the property is also true for an unknown number N.

Now, if using the hypothesis that the property is true for N, we can prove that the property is also true for N + 1, then we actually proved that the property is true for all the set.

We actually can use any set, not only the natural numbers.

For example, we can use the set of the even numbers {2, 4, 6, 8....}, suppose that the property is true for a random number N, that is even, and then see if using that hypothesis we can prove that the property is also true for the next number in the set; N + 2.

Ariel completes the square for the function y=x^2-16x+17. What is the function of the parabola?

Answers

Answer:

y = (x - 8)² - 47

Step-by-step explanation:

x² - 16x + 17 = 0

x² - 16x = -17

(-16) / 2 = -8

-8² = 64

x² - 16x + 64 = -17 + 64

(x - 8)² = 47

y = (x - 8)² - 47

does anyone know how to find square root quickly?

Answers

Answer: The quick way is to square the half of it.

Step-by-step explanation: You divide your main number by 2 and figure out that half. If it is still too big, divide by 2 again. If you need to keep repeating that is fine. Thank you multiply your answer by however many times you divided by 2.

Answer:

Step-by-step explanation: Make a perfect square list

This is one that goes to 15

[tex]\sqrt{1} \sqrt{4} \sqrt{9} \sqrt{16} \sqrt{25} \sqrt{36} \sqrt{49} \sqrt{64} \sqrt{81} \sqrt{100} \sqrt{121} \sqrt{144} \sqrt{169} \sqrt{196} \sqrt{225}[/tex]

1      2  3    4    5    6     7    8    9     10    11     12    13     14    15

The numbers on top are the square root and the numbers under are the answer or squared numbers. There is also a way to solve them if the number is between a number in the list like 18 but i don't feel like explaining that this is just the basic squares.

The committee is planning a party and 150 guests are expected. Each table seats 12 people. How many tables will be needed to seat all 150 guests?

Answers

Answer:

You will need about 13 tables.

Step-by-step explanation:

I divided the number of guests by 12 and got 12.5 however you can't have half of a table so I rounded up and got 13.

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