Mathematics Middle School

Alice says that 0.145 rounds to 0.15 and Roger says that the number rounds to 0.1. explain how both can be correct?

Answers

Answer 1
because the 5 in the thousanths place rounds the 4 in the hundreds place... and 0.145 can round down because the hundreds place is less than 5... it all depends on ehat place value your rounding to

Related Questions

Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function.
f(x) = -2x4 + 4x3 + 3x2 + 18

Answers

1. Get all possible numerators of rational zeros by listing all the possible divisors of the absolute value of the constant term. In this case the constant term is -4. It's absolute cvalue is 4. The divisors of 4 are 1,2, and 4, since they are the only integers which divide evenly into 4. 2. Get all possible denominators of rational zeros by listing all the possible divisors of the coefficient of the largest power of x. In this case the term with the largest power of x is 9x^5 and the absolute value of its coefficient is 9. The divisors of 9 are 1,3, and 9, since they are the only integers which divide evenly into 4. 3. Make all possible fractions having a numerator from the set of possible numerators and a denominator from the set of possible denominators. In this case that would be , , , , , , , , 4. Reduce them, and remove any duplications (sometimes there are duplications, there just aren't any here). 1, , , 2, ,, 4, , 5. Give them both signs, + and - ±1, , , ±2, ,, ±4, , ------------------------------------------------ Find all real zeros of the function. g(x)= x^3 + 4x^2 - x - 4 We don't even need the above method to do this one because it can be factored by grouping: g(x) = x³ + 4x² - x - 4 g(x) = x²(x + 4) - 1(x + 4) g(x) = (x + 4)(x² - 1) g(x) = (x + 4)(x - 1)(x + 1) So the zeros are found by setting all the factors = 0 x + 4 = 0, x - 1 = 0, x + 1 = 0 x = -4, x = 1, x = -1 Edwin

To list all possible rational zeros of the function f(x) = -2[tex]x^{4}[/tex] + 4[tex]x^{3}[/tex]+ 3[tex]x^{2}[/tex] + 18, apply the Rational Zeros Theorem, which suggests dividing the factors of the constant term (±1, ±2, ±3, ±6, ±9, ±18) by the factors of the leading coefficient (±1, ±2), leading to a list of possible rational zeros.

To use the Rational Zeros Theorem to find all possible rational zeros of the function f(x) = -2[tex]x^{4}[/tex] + 4[tex]x^{3}[/tex]+ 3[tex]x^{2}[/tex] + 18, we need to look at the factors of the constant term and the leading coefficient. For the constant term (18), the factors are
±1, ±2, ±3, ±6, ±9, ±18. For the leading coefficient (-2), the factors are ±1 and ±2. According to the Rational Zeros Theorem, the possible rational zeros are obtained by taking all the factors of the constant term and dividing them by the factors of the leading coefficient.

The list of all possible rational zeros is ±1, ±2, ±3, ±6, ±9, ±18, ±1/2, ±3/2, ±9/2, and ±18/2.

Tell whether the sequence is Arithmetic, Geometric, or Neither. -5, 95, 195, 295, 395

Answers

arithmetic 
rule: +100
I am pretty sure it is arithmetic

A cracker company packages its product in a box that is shaped like a rectangular prism. The box is 6 inches long, 2 inches wide, and 8 inches high.

V=lwh

What is the volume of the box?

A.22 in³
B.50 in³
C.96 in³
D.16 in³

Answers

As the equation is already given, we can just substitute the corresponding values in it!
Volume = 6 x 2 x 8
= 96 in3
So the answer is C. :)

when rounded to the nearest hundred which of the following would round of to 4,600

Answers

4598 is one of them but there is ALOT

A hiker leaves camp and hikes 9 miles north and than hikes 7 miles east. What is the resulting displacement of the hiker?

Answers

(7, 9). the reason for this, is because on an x y coordinate plane, x first, then y second. east is positive, north is positive, therefore it is (7, 9)

Write a word phrase to represent the numerical expression 5+(17-8)

Answers

A word phrase would be
Distribute Property
There were 5 friends that met up at the park, 17 more came... then 8 of them had to go home for dinner. 


Line R T and line S U slightly inclined with horizontal intersects at V. The upward and downward angles of the intersecting lines are obtuse. The left and right angles of the intersecting lines are acute. The measure of angle R V U is labeled as left parenthesis 8 y minus 33 right parenthesis degrees. The measure of angle S V T is labeled as left parenthesis 5 y plus 9 right parenthesis degrees.

Answers

Given the description, it sounds like angle RVU and angle SVT are vertical angles. With this known, the angles are equivalent and the two equations can be set equal to each other. 

5y+9=8y-33       vertical angles are congruent
-5y     -5y
9 =  3y -33         Use inverse operations to move all variables to one side of                           the equation
+33      +33      Add 33 to both sides of the equation to isolate the variable
42=3y         
/3    /3               Divide both sides by 3 in order to isolate the variable
14 = y             Once simplified, the variable y is equal to 14


In order to find the measure of the angle, the value of the variable needs to be substituted back into one of the equations.
5y+9
5(14) +9
70 + 9
79
The measure of angle RVU and angle SVT is 79 degrees

Answer:

14=y

or y=14

Step-by-step explanation:

Two fifths of the fish in Gary's fish tank are guppies onefourth of the guppies is red what fraction of the fish in Gary's tank are red guppies what fraction of the fish in Gary's tank are not red guppies show your work

Answers

How many fish are there in all? We need that to answer the question.

Which fraction has a repeating decimal as its decimal expansion?
A. 3/19
B.3/16
C. 3/11
D. 3/8

Answers

3/19 = 0.157...not this one
3/16 = 0.1875...not this one
3/11 = 0.2727 <== this one does
3/8 = 0.375...not this one

Answer:

3/11 CCC

Step-by-step explanation:

On the field trip, Toni collected 4 times as many bugs as Kaylie. Kaylie collected 14 bugs. How many bugs did Toni collect? Draw a bar diagram. Write and solve an equation to represent the problem

Answers

14 x 4= 56
If Toni collected 4 TIMES as many as Kaylie and Kaylie collected 14 bugs, you MULTIPLY. A bar diagram goes horizontally across your diagram. So Draw a bar diagram. If you don't know what a bar diagram is, Google it! That's all I can help ya with.

There was 2/3 of a pizza for 6 friends to share equally. What fraction of the pizza did each person get

Answers

First of all, if you only have 2/3 of a pizza to share with 6 friends, pick up the phone and get another pizza.

However, if you can't do that (maybe all your phones have been abducted by aliens), then use easy division of fractions to solve.

2/3 divided by 6 is equal to 2/3 times 1/6.

When you divide a fraction, you have to flip the thing your dividing by and multiply it to the original number. I know, confusing stuff, right?

2/3*1/6
=2/18
=1/9

Each person gets 1/9 of the pizza.

Hope this helps (and that the aliens give you your phones back)!

Each person get 1/9 of a pizza.

What is Fraction?

A fraction is defined as a part of a whole.

Given that;

There was 2/3 of a pizza for 6 friends to share equally.

Now,

Total amount of pizza = 2/3

Number of friends = 6

So, For finding the amount of pizza get by each person we formulate.

= 2/3 × 1/6

= 2/18

= 1/9

Thus, Each person get 1/9 of a pizza.

Learn more about the fraction visit:

https://brainly.com/question/21618863

#SPJ5

Mandy has 36 cups of apple juice. she uses 1/4 of the juice to make punch. she then uses the remaining juice to pour single servings that are 1/3 cup each. how many single servings does Mandy pour?

Answers

36/4
That is 9
36-9=27
27/3=9
27-9=18
18 Jello Apple Juice Shots

A rectangular park, with dimensions of 1500ft x 2000ft has a diagonal walking path that goes from corner to corner. How long is the walking path?



250 ft


2500 ft


3500 ft


5000 ft

Answers

2500 ft is your answer your welcome

Which rhetorical device would you use to make a comparison between the current situation and another situation A refrain
B parallel structure
C imagery
D allusion

Answers

refrain - a line or part of a line that is repeated in a poem

parallel structure - using the same pattern of words to show that words are of equal importance to help the reader comprehend what is written.

imagery - language or description that appeals to our five sense.

allusion - makes a reference to something or someone else.

so d is your answer! hope this helps, God bless!

A box of 8 snack bars costs $24.72. A single snack bar costs $3.47. What is the savings on each snack bar if you buy a box of 8 snack bar?

Answers

You would save $3.04
you will save exactly 3.04 cents. 
3.47 x 8 = 27.76
27.76 - 24.72 = 3.04
answer= 3.04
have a GREAT day! good luck with school!





factor Completely 2x^2+11x-63

Answers

 ur answer would be (2x-7)(x+9)

Answer:

(x + 9) × (2x - 7)

Step-by-step explanation:

You need to write the equation as a difference

2x^2 + 18x - 7x - 63

Then factor the expressions

2x(x + 9) - 7(x + 9)

Factor again

what is 3.24 x 10^-4 divided by 8.1 x 10^-7 in scientific form?

Answers

You first put the problem in parenthesis form like this (3. 24 * 10 ^-4) / (8.1 * 10^-7). Solve the pieces in the parenthesis first; you may need a calculator for this step. Then you should get 0.000324 / 81000000, then just divide to get 4E-12 (which is the answer in Scientific Notation). 

The perimeter of a rectangle is 524cm. The length is is 42cm more than the width. What is the length of the rectangle?

Answers

Perimeter= 524cm
Width= 215cm
Length= 173cm
Represent L as L = W + 42.

Then P = 2W + 2L

Here, P = 524 cm = 2W + 2(W+42) = 2W + 2W + 84 = 4W + 84

Solving 524 = 4w + 84,    4W = 524-84 = 440.

Dividing both sides by 4:  W = 110 cm.  Then L = 110+42 = 152.

Check:  Does 2(110) + 2(152) = 524?  YES

W = 110 cm and L = 152 cm

choose the graph below that correctly represents the equation 2x + 4y = 24.

A.

B.

C.

D.

Answers

My answer is A (the first graph picture). Here is my explanation.

1. 2x = 24 - 4y (Move the variable to the right side and change the sign)
2. X = 12 - 2y (Divide both sides of the equation by 2)
3. Y = 6 and X = 12 (I used my graphing calculator and A is what I got)

Hope this helps, if not, then I apologize! :)

Answer:

A Boiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Step-by-step explanation:

Lucie drank 3/4 of a pint of bottled water. One serving of the water is 7/8 of a pint. How much of a serving did she drink.

Answers

7/8
3/4
I'm order for them to have the same denominator you need to multiply so:
¾×2=6/8
So she drank 6/8 pints of water
First, let's make it so that they share a common denominator.

3/4 x 2/2 = 6/8

So Lucie drank 6/8 of a pint, or 75% of it. 7/8 - 6/8 = 1/8. So there is 1/8 of water left, or 12.5%.

solve by factoring and show work x^2-3x-10=0

Answers

Hello there!

[tex]x^2 - 3x - 10=0 Factorize the left side (x + 2)(x-5)=0 Set factors equal to 0 x + 2 = 0 or x - 5 = 0 x = -2 or x = 5 Best of luck! [/tex]
The first rule of factoring is to try to factor a common factor from all the terms. In this case, there is no common factor.

Now we factor the trinomial.
This quadratic trinomial is of the form
x^2 + ax + b = 0
where the coefficient of the x^2 term is 1.
To factor it, find two numbers that multiply to "b", the constant term,
and add to "a", the coefficient of x.

The numbers are -5 and 2 since -5 * 2 = -10, and -5 + 2 = -3.

Now we write two sets of parentheses with x on the left side:

(x      )(x       ) = 0

We fill in the parentheses with the two numbers we found above, -5 and 2.

(x - 5)(x + 2) = 0

That is the factoring.

A box of nutmeg weighs 99.66 grams. If there are 22 teaspoons of nutmeg in the box, how much does one teaspoon of nutmeg weigh? (Round your answer to the nearest thousandth.)

Answers

4.53 grams is the answer I got but I'm not sure?

a contractor purchases motors listed at $6800 and receives successive discounts of 20% and 10%. what is the net cost

Answers

i think that $2,040. because you multiply 6800*0.30=2,040.

Which expressions are perfect square trinomials? Check all that apply.
x2 + 16x + 8
x2 + 14x + 49
x2 – 5x + 25
x2 – 24x + 144
x2 + 9x – 81

Answers

That would be x2 + 14x + 49 & x2 - 24x + 144

Good Luck! ;D

The expressions that give perfect square trinomials are:

[tex]x^2+14x + 49[/tex] and [tex]x^2-24x+144[/tex]

A quadratic trinomial of the form [tex]ax^2+bx+c[/tex] is a perfect trinomial if it can be expressed as [tex](mx + n)^2[/tex]

Let us consider [tex]x^2+14x + 49[/tex]

[tex]x^2+14x+49\\x^2+7x+7x+49\\x(x+7)+7(x+7)\\(x+7)(x+7)\\(x+7)^2[/tex]

Let us consider:

[tex]x^2-24x+144\\x^2-12x-12x+144\\x(x-12)-12(x-12)\\(x-12)(x-12)\\(x-12)^2[/tex]

All other options do not give a perfect square when tested

Therefore, the expressions that give perfect square trinomials are:

[tex]x^2+14x + 49[/tex] and [tex]x^2-24x+144[/tex]

Learn more here: https://brainly.com/question/19311874

At the gas station each liter of gas costs $3 but there is a promotion that for every beverage you purchase you save 0.20 cents on gas. Is your total savings on gas proportional to the number of beverages you purchase?

Answers

When a relationship between two variables is proportional, it means that there is a constant ratio between the two variables. In this case, the answer is yes, there is a proportional relationship between total savings on gas and the number of beverages purchased.

You save $0.20 on gas for every beverage you buy.
Let s=dollars saved on gas, and b=# of beverages purchased
s=.2b
or
s=b/5

Answer:

Yes

Step-by-step explanation:

The answer is yes it is proportional

Nicole has $9 to spend on cards.She finds friends with the same amount of money to split the cost of a set. One set cost $27. Each friend gets the same number of cards. How many cards does each friend get?

Answers

Let x be the number of cards in the $27 set, then Nicole has 2 friends that have $9 each. This makes 3 people, therefore each person gets x/3 cards. So each friend would get 1/3 of the cards.

Answer:  Number of cards each friend gets is given by

[tex]\frac{x}{3}[/tex]

Step-by-step explanation:

Let the number of cards be x.

Since we have given that

Amount Nicole used to spend on cards = $9

Total cost of one set =$27

Since she finds friends with the same amount of money to split the cost of a set.

So, Number of friends she finds is given by

[tex]\frac{27}{9}=3\\\\\text{ Nicole finds 2 friends who has same amount to split the cost}[/tex]

Now, Number of cards each friend gets is given by

[tex]\frac{x}{3}[/tex]


Write 24.357 in the Expanded form using fractions

Answers

24+357/1000 = 24.357. Just remember decimals are in tenths, hundredths and in this case thousandths 

What is 75 1/2 Times 100 3/4

Answers

The answer is 7606 and 5/8
Hope it helped!

Write 7.50x +15y=750 in slope intercept form.

Answers

y= .5x + 50 is the answer!

10d+10=5d+45 plz help

Answers

10d + 10 = 5d + 45

10d + 10 (-5d) = 5d (-5d) + 45

5d + 10 (-10) = 45 (-10)

5d = 35

5d/5 = 35/5

d = 7

hope this helps
10d + 10=5d+45

*subtract 5d from both sides
5d +10=45

*subtract 10 from both sides
5d=35

*divide by 5
d= 7

(:
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