Using digit concepts, it is found that, in expanded form:
[tex]90.125 = 9 \times 10^1 + 0 \times 10^0 + 1 \times 10^{-1} + 2 \times 10^{-2} + 5 \times 10^{-3}[/tex]
--------------------
Each number can be divided into an integer part and a decimal part. For 90.125, the integer part is 90 and the decimal part is 0.125.In the integer part, starting from the last digit, each is multiplied by the "next" power of 10, thus:[tex]90 = 0 \times 10^{0} + 9 \times 10^{1} = 9 \times 10^{1} + 0 \times 10^{0}[/tex]
For the decimal part, starting from the first decimal digit, the same logic applies, using negative powers of 10 starting at -1, thus:[tex].125 = 1 \times 10^{-1} + 2 \times 10^{-2} + 5 \times 10^{-3}[/tex]
Combining the integer and decimal parts, we get that the number in expanded form is:
[tex]90.125 = 9 \times 10^1 + 0 \times 10^0 + 1 \times 10^{-1} + 2 \times 10^{-2} + 5 \times 10^{-3}[/tex]
A similar problem is given at https://brainly.com/question/17574571
Answer:
B is right
Step-by-step explanation:
Your favorite radio station is having a contest! The host poses a question to the listeners. If the caller answers correctly, he or she wins the prize money. If the caller answers incorrectly, $30 is added to the prize money and the next caller is eligible to win! The contest starts with a $100 prize for the first caller.
Part A: The first 4 callers have all missed the question. How much money is the 5th caller eligible to win? Show your work or explain your thinking.
Part B: You are the 12th caller to call in, and you win the prize! How much money will you win?
Answer:
A:150
B: 360 if all before are wrong
Answer:
A 150
Step-by-step explanation:
B- 360 if all before are wrong
John can mow his lawn in 3 hours and his sister, Julie, can mow it in 2 hours. How long will it take them to mow their lawn if they work together?
Answer:
2h30m
Step-by-step explanation:
Assuming they each do half, Julie would take 1 hour and John would take 1 hour 30 minutes, and combined would therefore be 2h30m.
Betsy caught three fish. The weights of the fish were 3 lb 2 oz, 2 lb 11 oz, and 2 lb 8 oz. What was the total weight of the three fish?
Answer:
8 lbs 5 oz
Step-by-step explanation:
When you add 3 lbs, 2 lbs, and 2 lbs you get 7 lbs.
There are 16 oz in a lb. When you add the number of oz you get 21 oz which is the same as 1 lb and 5 oz.
you then add 7 lbs to 1 lb and 5 oz and get 8 lbs and 5 oz.
Which of the following equations is equivalent to S = pi r squared h? h = uppercase S minus pi r squared h = StartFraction uppercase S Over pi r squared EndFraction h = StartFraction pi r squared Over uppercase S EndFraction h = uppercase S + pi r squared
Answer:
h = S - pie r ^2
Step-by-step explanation:
A on edge
The equation equivalent to : S = pi r squared h is -
h = StartFraction uppercase S over pi r squared EndFunction
We have - S = pi r squared h
We have to find which equation is same as S = pi r squared h
What is the volume of Cylinder of radius [tex]r[/tex] and height [tex]h[/tex]?The volume of a cylinder of radius [tex]r[/tex] and height [tex]h[/tex] is -
[tex]\pi r^{2}h[/tex]
which is same as -
pi r squared h
when written in word format.
Let Suppose -
[tex]S=\pi r^{2} h[/tex]
which can be written in terms of height [tex]h[/tex] as -
[tex]h=\frac{S}{\pi r^{2} }[/tex]
Now, if we write the above equation in word format, we get -
h = StartFraction uppercase S over pi r squared EndFunction
Therefore, the equation equivalent to pi r squared h is -
h = StartFraction uppercase S over pi r squared EndFunction
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Choose the answer that best translate algebraic expression below.
2(x+5)
A) twice the sum of a number and 5
B) 2 times the difference of a number and 5
C) 5 more than twice a number
D) 5 less than 2 times a number
Answer:
A
Step-by-step explanation:
anything in parenthesis will be multiplied by the number on the outside only if it has no expression between that number and the parenthesis, therefore 2 will multiply X and 5
Put these numbers in order from least to greatest.
-60/64, -3, 65/80, 6/32
On average, 8 potatoes cost $1.50 at
Peter's Produce Market. Fernando needs to buy
22 potatoes.
a. How much will it cost Fernando to buy 22 potatoes? How does this compare
to your estimate?
b. How many potatoes could Fernando buy with $7?
c. What is the unit cost per potato?
Answer:a) it will cost him $4.13 rounded
B)about 36
C)$ 0.19 (rounded) per potato
The Peters will cost to buy 22 potatoes is$4.13 , Fernando can buy 37 potatoes for $7 and the unit cost per potato is $0.1875.
How to form an equation?
Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Given that
8 potatoes cost $1.50
8 potatoes ⇔ $1.50
1 potato ⇔ $(1.50/8)
a) →
22 potatoes will cost 22 × $(1.50/8) = $4.13
b) →
8 potatoes ⇔ $1.50
$1 ⇔ 5.33 photos
By multiply 7
$7 ⇔ 37.33
Si Fernando can buy 37 potatoes.
c) →
1 potato ⇔ $(1.50/8)
1 potato ⇔ $0.1875
Hence "The Peters will cost to buy 22 potatoes is $4.13, Fernando can buy 37 potatoes for $7 and the unit cost per potato is $0.1875".
For more about the equation,
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What is the solution set for (x+3) = 5?
Answer:
x=2
Step-by-step explanation:
subtract 3 from both sides
5-3=2
x=2
Answer:
x=2
Step-by-step explanation:
Move all terms not containing
x
to the right side of the equation.
Two
pages
that face each other in a book have 343 as the sum of their page
numbers. What is the number of the page that comes first?
Answer:
171
Step-by-step explanation:
I divided 340 first and got 170 for each page number then I had 3 left over.
I added 1 to 170 and got 171 the I added the left over 2 to the other 170 and got 172.
So the first page number should be 171 :)
I hope this helped you understand :)
The number of page that comes first is 171.
It is given that in a book two pages that face each other have sum of 343 of their page numbers.
We have to find out what will be the number of page that comes first.
What will be the value of x , if x + (x + 2 ) = 18 ?
The value of x will be equal to ; 2x + 2 = 18 or 2x = 16 or x = 16 ÷ 2 or x = 8.
As per the question ,
In a book sum of two pages that face each other = 343
Let's assume that the page which comes first will be have page number x.
So,
x + (x + 1) = 343
2x + 1 = 343
2x = 342
x = 342 ÷ 2
x = 171
The other page will have number :
= x + 1
= 171 + 1
= 172
Thus , the number of page that comes first is 171.
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From a batch in which 20 parts are without defects and 4 - with defects, 4 parts are taken at random. What is the probability that: 1) all 4 parts without defects 2) 3 without defects and 1 part with defects 3) at least 2 - with defects
Answer:
20+4=24=12=6=3
therefore the answer is three defect
Joni sells kitchen aprons online for $32.50 each. How many aprons must she sell next month if she wants to earn at least $1,000?
Answer:
she must sell 31 aprons
The number of aprons Joni must she sell next month if she wants to earn at least $1,000 is 31.
In order to determine the number of aprons that Joni should sell in order to make at least $1000 next month, we would dived the total amount Joni hopes to make by the unit cost of an apron.
Number of aprons to sell = Amount Joni hopes to earn / unit cost of an apron.
$1000 / $32.50 = 30.77
Rounding off to the nearest whole number, the number of aprons that Joni should sell is 31.
A similar question was answered here: https://brainly.com/question/24462459
In the relationship below, the color of the circle changes according to the
height of the rectangle. Which expression below is the best choice to
describe this relationship in function notation?
A. H (c)
B. R (h)
C. C (h)
Answer the question below. Type your response in the
space provided
AB is perpendicular to CO. How many 90° angles are formed by
the intersection?
Done
Clear
Answer:
4
Step-by-step explanation:
If you have 2 lines inter secting you have 4 corners. All these corners are congruent(they are the same). This means if one is 90 they all are 90.
Complete the sentence to make it a true statement. 60 is 1/100 of
Answer:
6000
Step-by-step explanation:
If it is one hundredth than multiply by 100 to get 6000
Karlie ate lunch with her friends at Chuy's. They had a delicious meal that 20 cost $62. If the sales tax rate is 8.25% what is the amount of sales tax they had to pay? ROUND YOUR ANSWER * O $5.12 O $6.76 O $5.27 O $51.20
Answer:
tax = 5.12
Step-by-step explanation:
given:
tax rate = 8.25 = 8.25/100 = .0825
meal cost = $62
find:
what is the amount of sales tax they had to pay
tax = $62 x 0.0825
tax = 5.12
I got this wrong I need help please
No, the piecewise graph is NOT a function because it does NOT pass the vertical line test.
The vertical line test is where we try to pass a line through more than one point on the curve. If it is not possible to do this, then the graph is said to "pass the vertical line test".
In this case, the given graph fails the vertical line test. Look at something like x = -2. We can draw a vertical line through here to pass through more than one point. One point is on the upside-down V shape, and the other point is on the parabolic shape. Plugging x = -2 into this leads to more than one y outputs.
A function is only possible if any valid x input (from the domain) leads to exactly one output y value (in the range).
Convert repeating decimal 9.81 to a fraction
Answer:
981/100
Step-by-step explanation
step: 9.81= 9.81/1
step 2 multiply both too and bottom by 10
9.81/1 = (9.81*100)/(1*100)= 981/100
thus 981/100 is also equal to 9 81/100
-5 – 3x > 2(10 + 2x) + 3
Solve inequality
Answer: x < -4
ervrdbtyunbyjthdrggvghbdxfgchvj
Answer:
x>-4
Step-by-step explanation:
-5-3x>2(10+2x) +3
-5-3x>20+4x+3
-5-3x>4x+23
-5>7x+23
-28>7x
-4>x
50 points!!!! plz i need help!!! what is 3x^-4(8x+12x) simplified??
Answer:
60
x^3
Step-by-step explanation:
3x^-4 (8x + 12x)
apply exponential rule:
= 3 * 1/x^4 *(8x + 12x)
add similar elements
= 3 * 20 * (1/x^4) x
multiply fractions:
= 1 * 3 * 20x
x^4
simplify:
= 60x
x^4
finally = 60
x^3
Collect like terms
3x^-4×(8x+12x)
Calculate=3x^-4 * 20x
Solving Further=60x^-3
Express with a positive exponent=60 * 1/x^3
Solution[tex] \frac{60}{ x {}^{3} } [/tex]
What is the probability of the spinner stopping on an even number?
Answer:
D because thee are 5 even numbers
The probability of the spinner stopping on an even number will be equal to 5/10.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
The total number on the spinner is 10
The total even number on the spinner is 5.
The probability of the spinner stopping on an even number = 5/10
Learn more about probability here;
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Is 2 tens 3 tenths 1 thousandth greater than, less than, or equal to 20.31?
Answer:
less than
Step-by-step explanation:
2 tens = 20
3 tenths = .3
1 thousandth = .001
put it together = 20.301
20.301 < 20.31
less than
The coefficient in the expression -x - 10 is
Answer: I think the coefficient is -x
Step-by-step explanation:
A coefficent is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression. Or in other words, the number being multiplied with the variable. For example, the 4 in 4x.
The expression is -x-10. If we go back to the definition, the coefficient combined to the variable is -1.
A variable like the 'x' in this expression can also be written as 1x.
So the answer is -1.
Hope it helps!
plzzzzzzzzz helpppp meeeee
Answer:
it will be 1 not -15 or -1 because thats in the left
Is 3(x+x+y) equivalent to 3x+3(x+y)
Answer:
yes
Step-by-step explanation:
Answer:
Yes.
Step-by-step explanation:
Step 1: Distribute 1st equation
3x + 3x + 3y
Step 2: Combine like terms
6x + 3y
Step 3: Distribute 2nd equation
3x + 3x + 3y
Step 4: Combine like terms
6x + 3y
We see here that 6x + 3y = 6x + 3y. Therefore, they are equivalent.
The art form created by using points is *
Answer:
Pointillism
Step-by-step explanation:
A number is multiplied by 5. If 1 is added to
the product, you get 6. What is the number?
Answer:
1
Step-by-step explanation:
The number is
1 x 5 = 5
5 + 1 = 6
Answer:
The number is 1
Step-by-step explanation:
5x + 1 = 6
6 minus 1 = 5
1 minus 1 = 0
5x = 5
x = 1
hopefully this helps you :)
pls mark me brainlest ;)
Which accurately represents these building blocks of matter from the smallest to the largest? atom → molecule or compound molecule → atom → element compound → molecule → element molecule → atom or element
Answer:
Atom-Molecule or compound
Step-by-step explanation:
I know the answer to this because I went to a NASA space camp And I learned about this.
Answer:
a
Step-by-step explanation:
a
Simplify the expression: 4(2 + 6j)
Answer:
[tex]8+24j[/tex]
Step-by-step explanation:
[tex]4(2+6j)[/tex]
Apply the distributive law: [tex]a\left(b+c\right)=ab+ac[/tex]
Thus,
[tex]4* \:2+4* \:6j[/tex]
[tex]8+24j[/tex]
Answer:
24j + 8
Step-by-step explanation:
multiply 2 and 6j with 4
Does anyone know how to do number 18????
Answer: angle ITU = 145 degrees
===============================================
Explanation:
Angle STU is the largest angle composed of the smaller angles STI and ITU.
In other words, the two smaller angles add up to the larger one.
(angle STI) + (angle ITU) = angle STU
( 20 ) + ( 12x+1 ) = 13x + 9
20+12x+1 = 13x+9
12x+21 = 13x+9
21-9 = 13x-12x
12 = x
x = 12
Using this x value, we find that,
angle ITU = 12x+1 = 12(12)+1 = 145 degrees
----------
As a side note,
angle STU = 13x+9 = 13(12)+9 = 165 degrees
This is confirmed with
(angle STI) + (angle ITU) = (20) + (145) = 165 = angle STU
Find cos A and B. Write each answer as a fraction
Answer:
cosA = 5/13
cosB = 12/13
Step-by-step explanation:
cos∅ = adjacent over hypotenuse
cosA = 10/26
cosB = 24/26
