If m varies directly as n and m = -4 when n = 32, find m when n = 3

Answers

Answer 1

Answer:

m=-0.375

Step-by-step explanation:


Related Questions

8th grade math, please help.
I’ll give you brainliest if you want.

-Find the volume-

Answers

Answer:

340.34

Step-by-step explanation:

Answer:

(3.14) (rxr) (h) dived by 3

3.14 x 5x5 x 13

3.14 x 25 x 13

= 1,020.5 divided by 3

= 340.16

The question is in the image below!

Answers

Answer:

C) 26π

Step-by-step explanation:

169π, radius = √169 = 13

diameter = 13 x 2 = 26

circumference = 26π

How many solutions does the system of linear equations have?
y= 2x
y= -1/2 x + 3

A. one
B. none
C. two
D. infinitely many

Answers

It has 2 solutions of a linear equation

b. If instead you divide first to solve the equation, what
operation would you need to use last?

Answers

Answer:

use  PEDMAS

P: PARENTHESIS

E: EXPONENTS

D: DIVISON

M: MULTIPLICATION

A: ADDITION

S: SUBTRACTION

Step-by-step explanation:

CAN YOU PLS MARK ME BRAINLIEST THANK YOU !

a. y=3•3 x
b. y=3 x
c. y=9 x​

Answers

Answer:B

Step-by-step explanation:

(3 points) A marketing research firm wishes to determine if the residents of Caldwell, Idaho, would be interested in a new downtown restaurant. The firm selects a simple random sample of 165 phone numbers from the Caldwell phone book and calls each household. Only 60 of those called are willing to participate in the survey, and 44 participants would support a new downtown restaurant. (a) The sample in this survey is A. all households in the Caldwell phone book. B. all residents of Caldwell. C. the 165 phone numbers chosen. D. the 60 households that participated in the study. E. None of the above. (b) The population of interest is A. all households in the Caldwell phone book. B. the 60 households that participated in the study. C. all residents of Caldwell. D. the 165 phone numbers chosen. E. None of the above. (c) The chance that all 165 phone numbers chosen are located in one particular neighborhood in Caldwell is A. reasonably large due to the ''cluster'' effect. B. 165 divided by the size of the population of Caldwell. C. exactly 0. Simple random sampling will spread out the locations of the phone numbers selected. D. the same as for any other set of 165 phone numbers. E. None of the above.

Answers

Answer:

Interest in a new downtown restaurant in Caldwell, Idaho:

(a) The sample in this survey is:

C. the 165 phone numbers chosen.

(b) The population of interest is:

C. all residents of Caldwell.

(c) The chance that all 165 phone numbers chosen are located in one particular neighborhood in Caldwell is:

E. None of the above.

Step-by-step explanation:

Population of interest = residents of Caldwell, Idaho

Sample of the population = 165

Number of willing participants/respondents = 60

Proportion of participants supporting a new downtown restaurant = 44/60 = 73%

Select all the expressions with a product greater to 2/3

Answers

Answer:

3.LOOK AND  CHOOSE THE CORRECT SENTENCES

(1 Punto)

Does Daniela Works every day?

Do Daniela Work every day?

Does Daniela Work every day?

Did Daniela Work every day?

4.LOOK AND  CHOOSE THE CORRECT SENTENCES

(1 Punto)

Margarita don't brushes her car

Margarita doesn't brush her car

Margarita doesn't brushes her car

Margarita didn´t brush her car

5.LOOK AND  CHOOSE THE CORRECT SENTENCES

(1 Punto)

Do Camilo and Diana dances in the class?

Do Camilo and Diana dance in the class

Does Camilo and Diana dance in the class?

Do Camilo and Diana dance in the class?

6.LOOK AND CHOOSE THE CORRECT SENTENCES

(1 Punto)

You don't read a book

You don't reads a book

You doesn't read a book

7.LOOK AND CHOOSE THE CORRECT SENTENCES  

INTERROGATIVE  

____ he ___ better than you?

(1 Punto)

Does- plays

Does- play

Do- play

Do . plays

8.LOOK AND CHOOSE THE CORRECT SENTENCES  

NEGATIVE

It  ___ snow in summer.

(1 Punto)

doesn't

don't

9.LOOK AND CHOOSE THE CORRECT SENTENCES  

AFFIRMATIVE  

My cousin _____ English very well.

(1 Punto)

Speak

Speaking

Speaks

10.LOOK AND CHOOSE THE CORRECT SENTENCES  

AFFIRMATIVE  

We _____  our bikes

(1 Punto)

Wash

Washes

Washing

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Step-by-step explanation:

Dora opens a savings account with $55 that earns 7% interest per
year, not compounded.
How much interest, to the nearest cent, will Dora earn in 7 years?
Give your answer in dollars.

Will mark BRAINLIST

Answers

Answer:

$81.95

Step-by-step explanation:

0.07 * 55 = 3.85

(3.85 * 7) + 55

26.95 + 55

81.95

HELPPP HELPP

The cost of a keyboard (k) is $40 less than the cost of a printer (p). Which of these equations could model this fact?

Answers

Answer: printer cost > Keyboard cost ($40)

Step-by-step explanation:

Answer:

k = p - 40

Step-by-step explanation:

the word "is" is the same as equal so k =.... $40 less than p which could be written as p - 40 therefore k = p - 40

PLEASE HELPP!!

Pia printed two maps of a walking trail. The length of the trail on the first map is 8 cm. The length of the trail on the second map is 6 cm.
(a) 1 cm on the first map represents 2 km on the actual trail. What is the scale factor from the map to the actual trail? What is the length of the actual trail?
(b) A landmark on the first map is a triangle with side lengths of 3 mm, 4 mm, and 5 mm. What is the scale factor from the first map to the second map? What are the side lengths of the landmark on the second map? Show your work

Answers

Answer:

Given:

Two trail maps:

Trail on the first map = 8 cm

Trail on the second map = 6 cm

Scale on first map = 1 cm : 2 km

A) What is the scale factor from the map to the actual trail?

For the first map, the scale factor is 1 cm: 2km. Therefore the actual trail is 8 centimeters * 2 kilometers = 16 km.

The scale factor of the second map is 16 km / 6 cm = 2.67 km : 1 cm

B) The length of the actual trail is 16 kilometers.

Step-by-step explanation:

In this exercise we have to use the knowledge of distance to calculate the value of the length, like this:

A) 1 cm

B) 16K

some of the information given in the statement was from:

Trail on the first map = 8 cmTrail on the second map = 6 cmScale on first map = 1 cm : 2 km

A) So to calculate the scale, you will need:

[tex]1 cm: 2km\\8 centimeters * 2 kilometers = 16 km\\16 km / 6 cm = 2.67 km : 1 cm[/tex]

B) So from the previous calculations we find the value of the length which is 16 kilometers.

See more about distance at brainly.com/question/989117

Analyze the following budget, with an income of $600, to determine how much can be spent on food for the month

Answers

Question:

Analyze the following budget, with an income of $600, to determine how much can be spent on food for the month.

Cell Phone $65

Food $___

Entertainment $95

College Savings $200

Car Expenses - Gas, Insurance $160

Answer:

[tex]Food = \$80[/tex]

Step-by-step explanation:

Given

[tex]Income = \$600[/tex]

Required

How much should be spent on food

This is calculated as:

[tex]Income = Food + Other\ budgets[/tex]

Where:

[tex]Other\ budgets = Phone + Ent + College + Car, Gas[/tex]

[tex]Other\ budgets = \$65 + \$95 + \$200 + \$160[/tex]

[tex]Other\ budgets = \$520[/tex]

So, we have:

[tex]\$600 = Food + \$520[/tex]

[tex]Food = \$600 - \$520[/tex]

[tex]Food = \$80[/tex]

Answer:

C $80 can be spent on food.

Which is the least decimal among the following: 4.2, 4.18, 4.3, 4.25, 4.125?


Plssssssssss tell me quickkkkk

Answers

Answer:

I am assuming you mean the smallest decimal so it is 4.125

Step-by-step explanation:

you said quick so

Answer: 4.25

Step-by-step explanation: if you make all of these into a whole number the biggest number comes out to be 20 and its 4.25

Evaluate f′ (1) and f′′ (1): = x√x

--------

3√ 5

Answers

Answer:

[tex]\displaystyle f'(1) = \frac{3}{2}[/tex]

[tex]\displaystyle f''(1) = \frac{3}{4}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Algebra II

Exponential Rule [Rewrite]:                                                                            [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Exponential Rule [Root Rewrite]:                                                                   [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]

Derivative Rule [Product Rule]:                                                                             [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]

Derivative Rule [Quotient Rule]:                                                                           [tex]\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]

Step-by-step explanation:

Step 1: Define

f(x) = x√x

f'(1) is x = 1 for 1st derivative

f''(1) is x = 1 for 2nd derivative

Step 2: Differentiate

[1st Derivative] Product Rule:                                                                       [tex]\displaystyle f'(x) = \frac{d}{dx}[x]\sqrt{x} + x\frac{d}{dx}[\sqrt{x}][/tex][1st Derivative] Rewrite [Exponential Rule - Root Rewrite]:                         [tex]\displaystyle f'(x) = \frac{d}{dx}[x]\sqrt{x} + x\frac{d}{dx}[x^{\frac{1}{2}}][/tex][1st Derivative] Basic Power Rule:                                                                 [tex]\displaystyle f'(x) = (1 \cdot x^{1 - 1})\sqrt{x} + x(\frac{1}{2}x^{\frac{1}{2}-1})[/tex][1st Derivative] Simply Exponents:                                                               [tex]\displaystyle f'(x) = (1 \cdot x^0)\sqrt{x} + x(\frac{1}{2}x^{\frac{-1}{2}})[/tex][1st Derivative] Simplify:                                                                                 [tex]\displaystyle f'(x) = \sqrt{x} + x(\frac{1}{2}x^{\frac{-1}{2}})[/tex][1st Derivative] Rewrite [Exponential Rule - Rewrite]:                                 [tex]\displaystyle f'(x) = \sqrt{x} + x(\frac{1}{2x^{\frac{1}{2}}})[/tex][1st Derivative] Rewrite [Exponential Rule - Root Rewrite]:                         [tex]\displaystyle f'(x) = \sqrt{x} + x(\frac{1}{2\sqrt{x}})[/tex][1st Derivative] Multiply:                                                                                 [tex]\displaystyle f'(x) = \sqrt{x} + \frac{x}{2\sqrt{x}}[/tex][2nd Derivative] Rewrite [Exponential Rule - Root Rewrite]:                     [tex]\displaystyle f'(x) = x^{\frac{1}{2}} + \frac{x}{2x^{\frac{1}{2}}}[/tex][2nd Derivative] Basic Power Rule/Quotient Rule [Derivative Property]: [tex]\displaystyle f''(x) = \frac{1}{2}x^{\frac{1}{2} - 1} + \frac{\frac{d}{dx}[x](2x^{\frac{1}{2}}) - x\frac{d}{dx}[2x^{\frac{1}{2}}]}{(2x^{\frac{1}{2}})^2}[/tex][2nd Derivative] Simplify/Evaluate Exponents:                                           [tex]\displaystyle f''(x) = \frac{1}{2}x^{\frac{-1}{2}} + \frac{\frac{d}{dx}[x](2x^{\frac{1}{2}}) - x\frac{d}{dx}[2x^{\frac{1}{2}}]}{4x}[/tex][2nd Derivative] Rewrite [Exponential Rule - Rewrite]:                               [tex]\displaystyle f''(x) = \frac{1}{2x^{\frac{1}{2}}} + \frac{\frac{d}{dx}[x](2x^{\frac{1}{2}}) - x\frac{d}{dx}[2x^{\frac{1}{2}}]}{4x}[/tex][2nd Derivative] Basic Power Rule:                                                             [tex]\displaystyle f''(x) = \frac{1}{2x^{\frac{1}{2}}} + \frac{(1 \cdot x^{1 - 1})(2x^{\frac{1}{2}}) - x(\frac{1}{2} \cdot 2x^{\frac{1}{2} - 1})}{4x}[/tex][2nd Derivative] Simply Exponents:                                                             [tex]\displaystyle f''(x) = \frac{1}{2x^{\frac{1}{2}}} + \frac{(1 \cdot x^0)(2x^{\frac{1}{2}}) - x(\frac{1}{2} \cdot 2x^{\frac{-1}{2}})}{4x}[/tex][2nd Derivative] Simplify:                                                                             [tex]\displaystyle f''(x) = \frac{1}{2x^{\frac{1}{2}}} + \frac{2x^{\frac{1}{2}} - x(\frac{1}{2} \cdot 2x^{\frac{-1}{2}})}{4x}[/tex][2nd Derivative] Multiply:                                                                             [tex]\displaystyle f''(x) = \frac{1}{2x^{\frac{1}{2}}} + \frac{2x^{\frac{1}{2}} - x(x^{\frac{-1}{2}})}{4x}[/tex][2nd Derivative] Rewrite [Exponential Rule - Rewrite]:                               [tex]\displaystyle f''(x) = \frac{1}{2x^{\frac{1}{2}}} + \frac{2x^{\frac{1}{2}} - x(\frac{1}{x^{\frac{1}{2}}})}{4x}[/tex][2nd Derivative] Multiply:                                                                             [tex]\displaystyle f''(x) = \frac{1}{2x^{\frac{1}{2}}} + \frac{2x^{\frac{1}{2}} - \frac{x}{x^{\frac{1}{2}}}}{4x}[/tex][2nd Derivative] Simplify:                                                                             [tex]\displaystyle f''(x) = \frac{1}{2x^{\frac{1}{2}}} + \frac{x^{\frac{1}{2}}}{4x}[/tex][2nd Derivative] Rewrite [Exponential Rule  - Root Rewrite]:                     [tex]\displaystyle f''(x) = \frac{1}{2\sqrt{x}} + \frac{\sqrt{x}}{4x}[/tex]

Step 3: Evaluate

[1st Derivative] Substitute in x:                                                                     [tex]\displaystyle f'(1) = \sqrt{1} + \frac{1}{2\sqrt{1}}[/tex][1st Derivative] Evaluate Roots:                                                                     [tex]\displaystyle f'(1) = 1 + \frac{1}{2(1)}[/tex][1st Derivative] Multiply:                                                                                 [tex]\displaystyle f'(1) = 1 + \frac{1}{2}[/tex][1st Derivative] Add:                                                                                       [tex]\displaystyle f'(1) = \frac{3}{2}[/tex][2nd Derivative] Substitute in x:                                                                   [tex]\displaystyle f''(1) = \frac{1}{2\sqrt{1}} + \frac{\sqrt{1}}{4(1)}[/tex][2nd Derivative] Evaluate Roots:                                                                 [tex]\displaystyle f''(1) = \frac{1}{2(1)} + \frac{1}{4(1)}[/tex][2nd Derivative] Multiply:                                                                             [tex]\displaystyle f''(1) = \frac{1}{2} + \frac{1}{4}[/tex][2nd Derivative] Add:                                                                                     [tex]\displaystyle f''(1) = \frac{3}{4}[/tex]

factorise the following : ​

Answers

Answer:

(3x+4b)(a-2y)

Step-by-step explanation:

(3ax-6xy)+(8by-4ab)

3x(a-2y) -4b(-2y+a)

(3x+4b) (a-2y)

Answer:

(a−2y)(3x−4b)

Step-by-step explanation:

3ax−6xy+8by−4ab

⇒3ax−4ab−6xy+8by

⇒a(3x−4b)−2y(3x−4b)

⇒(a−2y)(3x−4b)

Hope it is helpful...

An object is launched straight upward from ground level with an initial velocity of 32 feet per second. The formula h=32t - 16t ^ 2 gives its height, h, in feet after t seconds. At what time does the object hit the ground?

A. t=16
B. t=2
C. t=1
D. t=0

Answers

Answer: B. t=2

Step-by-step explanation:

If we implement t=2 into the function h=32(2)-16(2)^2 we get the height of 0 (Ground level).

Solve for h by simplifying both sides of the equation, then isolating the variable.

Hope this helps! :)

The object will hit the ground in 2 seconds.

What is height?

The vertical distance, either between the top and bottom of something or between a base and something above it, is considered as the height of an object.

Given that, An object is launched straight upward from ground level with an initial velocity of 32 feet per second. The formula h = 32t-16t² gives its height, h, in feet after t seconds.

When the object is hitting the ground, its height will be zero,

Therefore, put h = 0 in the equation,

0 = 32t-16t²

16t² = 32t

16t = 32

t = 2

Hence, the object will hit the ground in 2 seconds.

For more references on height, click;

https://brainly.com/question/10726356

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Boris has a coin and a number cube. The number cube is labeled 1 through 6. He flips the coin once and rolls the number cube once. What is the probability that the coin lands tails up and the cube lands on an even number?

Answers

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Chance of tales: [tex]\frac{1}{2}[/tex]

Chance of even number: [tex]\frac{3}{6}[/tex] or [tex]\frac{1}{2}[/tex]

Multiply: ([tex]\frac{1}{2}[/tex])([tex]\frac{1}{2}[/tex]) = [tex]\frac{1}{4}[/tex]

What is the solution to the equation?
1/7g=3/14 ​

Answers

Answer:

g = 21/4


Decimal form:

g = 5.25


Mixed Number:

5 1/4

Your soccer team is holding a silent auction dinner as a fundraiser to pay for the team uniforms. The list shows all the expenses for the silent auction.

A tablet that costs $280
Soccer tickets that cost $100
A gift card that costs $20
The cost of the food is $400
The members of the soccer team will be selling tickets to the silent auction. A ticket to the silent auction includes chances to win prizes and dinner. The ticket cost is set so that 50 tickets will pay for the cost of the prizes and food.

Answers

Answer:

Step-by-step explanation:

A tablet that costs $280

first one is the answer

98 is 14% of what number?

Answers

Answer:

the answer is 13.72

Step-by-step explanation:

tell me if its right

Answer:

700

Step-by-step explanation:

We have, 14% × x = 98

or, 14

100 × x = 98

Multiplying both sides by 100 and dividing both sides by 14,

we have x = 98 ×

100

14

x = 700

If you are using a calculator, simply enter 98×100÷14, which will give you the answer.

y = cx + d
2y = 10
In the system of equations above, cand d are constants.
For which of the following values of cand d does the
system of equations have no real solutions?
A) c= -6, d = 6
B) C=-5, d=4
C) c= 6, d = 4
D) c = 6, d= 5

Answers

Answer is a hope this helps

The system of equations will have no real solutions for c = -5, d = 4, i.e. option B.

What is system of equations?

System of equations is a finite set of equations for which common solutions are sought.

We have,

y = cx² + d     .....(i)

And,

2y = 10

y = 5     .....(ii)

So,

Now,

Comparing equation (i) and (ii),

We get,

cx² + d = 5

Now,

According to the question,

For,

c = -6, and d = 6

i.e.

cx² + d = 5

-6x² +6 = 5

We get,

-6x² = -1

i.e. [tex]x^2 = \frac{1}{6}[/tex]

That means equation have real solution.

Now,

For,

c = -5, and d = 4

i.e.

cx² + d = 5

-5x² + 4 = 5

We get,

-5x² = 1

i.e. [tex]x^2 = \frac{1}{-5}[/tex]

So, For these values of c and d, equation will not have any real solution, because square root can not be negative.

Hence, we can say that the system of equations will have no real solutions for c = -5, d = 4, i.e. option B.

To know more about system of equations click here

https://brainly.com/question/12895249

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The point A(6,-4) is reflected over the point (0,0) and its image is point B. What
are the coordinates of point B?

Answers

Answer:

B(-6,4)

Step-by-step explanation:

Basically, it's the same as reflecting it over the origin, so you transform the sign to its opposite and keep the points.

Kelvin-Celsius temperature Conversion Equation
K= °C + 273
Krepresents temperature in Kelvin
°C represents temperature in Celsius
The temperature in Kelvin is equal to the the temperature in degrees Celsius plus 273
°F = 1.8 (°C) + 32
°C = °F - 32/ 1.8
2. The fahrenheit is used by what country?

Answers

Answer:

The United States of America mostly and maybe Canada

Solve for X plz plz plz plz

Answers

Answer:

Step-by-step explanation:

B/c they are similar triangles we can set the sides ratio's equal to each other again

7x + 6 / 56  = 78 /91

does it kind of makes sense why I'm able to set those two ratio's equal?

it's the tough part of these problems... understanding why that works

the rest is just algebra.. My calc II professor always told us our algebra sucks. :D he was funny,

anyway, use your mad algebra skilz on the above equation

7x + 6 = 56(78/91)

7x + 6 = 4368 / 91

7x + 6 = 48

7x = 48 - 6

7x = 42

x = 6

:)

On the 40th birthday, Mr. Ramos decided to buy a pension plan for himself. This plan will allow him to claim
P10,000.00 quarterly for 5 years starting 3 months after his 60th birthday. What one-time payment should he make on his
40th birthday to pay off his pension plan, if the interest rate is 8% compounded quarterly?​

Answers

Answer:

The amount of one-time payment should he make on his 40th birthday to pay off his pension plan is P32,880.77.

Step-by-step explanation:

Step 1: Calculation of present value on 3 months after his 60th birthday

The present value on 3 months after his 60th birthday can be calculated using the formula for calculating the present value of an ordinary annuity as follows:

PV60 = Q * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV60 = present value on 3 months after his 60th birthday = ?

Q = quarterly claim = P10,000

r = quarterly interest rate = annual interest rate / 4 = 8% / 4 = 0.08 / 4 = 0.02

n = number of quarters = number of years * Number of quarters in a year = 5 * 4 = 20

Substitute the values into equation (1), we have:

PV60 =  P10,000 * ((1 - (1 / (1 + 0.02))^20) / 0.02)

PV60 = P10,000 * 16.3514333445971

PV60 = P163,514.33  

Step 2: Calculation of one-time payment on his 40th birthday

The one-time payment can be calculated using the formula the following formula:

PV = PV60 / (1 + r)^n ........................ (2)

Where;

PV = Present value or One-time payment = ?

PV60 = present value on 3 months after his 60th birthday = P163,514.33

r = quarterly interest rate = annual interest rate / 4 = 8% / 4 = 0.08 / 4 = 0.02

n = number of quarters from 40th to 3 months after his 60th birthday = (number of years * Number of quarters in a year) + One quarter = (20 * 4) + 1 = 81

Substitute the values into equation (2), we have:

PV = P163,514.33 / (1 + 0.02)^81 = P32,880.77

Therefore, the amount of one-time payment should he make on his 40th birthday to pay off his pension plan is P32,880.77.

i need help with this !!!!!!!

Answers

Answer:

number 1 and 2 r true

Step-by-step explanation:

Tom eats a breakfast that contains 200 calories. After he eats, Tom
exercises for x minutes at a rate that burns 35 calories every 3 minutes.
Which equation represents the net number of calories, y, that Tom
accumulates after eating breakfast and exercising?

Answers

Answer:

35/3x +200 = # of calories

Step-by-step explanation:

35/3 = calories burnt in 1 minute

x = minutes exercised for

add 200 to account for calories eaten

35/3x +200 = y

Answer choices
4/5 mm2
2/25 mm2
1/25 mm2
It’s not the first answer

Answers

Answer:

¹/25 mm²

Step-by-step explanation:

Area of a square = s²

Where s is the length of one side

using the diagram given,

s = ⅕ mm

Area = (⅕)²

Area of the square = ¹/25 mm²

someone please help me answer this!!

Answers

it is equivalent to 490,000-58,000 =432,000

scientific notation =4.32 •10 ^5 ( power of 5 yan)

Tina's Treats charges a $4.35 fee for each delivery. Which table best represents the relationship between f, the amount made from the delivery fee, and d, the number of deliveries made in a day?

Answers

Answer:

Is there any answer choices? If not I would think its 5$

                                                                                      5$

                                                                                      4$

Step-by-step explanation:

Diana has $2.00 in dimes and nickels. She has a total of 26 coins. How many of each kind does she have?

Answers

Answer:

Diana has 14 dimes and 12 nickels

Step-by-step explanation:

Create a system of equations, where d is the number of dimes and n is the number of nickels:

d + n = 26

0.1d + 0.05n = 2

Solve by elimination by multiplying the top equation by -0.1:

-0.1d - 0.1n = -2.6

0.1d + 0.05n = 2

Add these together, then solve for n:

-0.05n = -0.6

n = 12

So, she has 12 nickels. To find the number of dimes, subtract 12 from 26, since there were 26 coins in total and we found that she had 12 nickels.

26 - 12

= 14

So, Diana has 14 dimes and 12 nickels

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