To round 74.58 to the nearest tenth, look at the digit in the hundredth place (8) and round up the digit in the tenths place (5) by adding 1 to get 74.6.
To round 74.58 to the nearest tenth,
We have to look at the digit in the hundredth place, which is 8.
The rule for rounding to the nearest tenth is to look at the digit in the hundredth place.
If it is 5 or greater, you round up the digit in the tenths place by adding 1. If it is less than 5,
Simply drop the digit in the hundredths place and leave the digit in the tenths place as it is.
In this case,
The digit in the hundredths place is 8, which is greater than 5.
Therefore, we must round up the digit in the tenths place, which is 5, by adding 1 to get 6.
Thus, 74.58 rounded to the nearest tenth is 74.6.
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A vegetable-oil recovery plant has already recycled 1,400 litters out of 2,500 liters of used oil. If the plants can recycle 24 liters of used oil per hour, about how many hours will it take to recycle what is left?
A vegetable-oil recovery plant has already recycled 1,400 litters out of 2,500 liters of used oil.
Initially plant has 2,500 liters of used oil.
plant has already recycled 1,400 liters
so liters of oil left = 2500 - 1400 = 1,100
So 1,100 liters of oil left
plants can recycle 24 liters of used oil per hour
So for 1,100 liters we divide by 24 to find the number of hours
[tex]\frac{1100}{24}= 45.83[/tex]
Its approximately 46 hours
Approximately 46 hours it will take to recycle 1,100 liters.
20 POINTS >>>> The rent for an apartment is represented by R(a) = 2.00a + 50.00, where a is the area of the apartment in square feet. The rent increases by $50.00 when the apartment is furnished. Identify the new function S(a) for the rent of a furnished apartment and the transformation that has been applied.
A) S(a) = 52.00a + 50.00; shift 50 units up
B) S(a) = 2.00a + 100.00; shift 50 units down
C) S(a) = 52.00a + 50.00; shift 50 units down
D) S(a) = 2.00a + 100.00; shift 50 units up
Elisa made 0.44 of the free throws she attempted . What is that amount written as a fraction in simplest form
There are 222 single employees in job grade 2, and 3,927 married employees in job grade 2. Which is higher, the conditional relative frequency among single employees in grade 2, or among married employees in grade 2?
A. Joint frequency
B. Conditional relative frequency
C. Married and grade 2 (92.6%) is higher than Single and grade 2 (5.2%)
D. Single and grade 2 (65.9%) is higher than Married and grade 2 (50.8%)
Answer: Option C. Married and grade 2 (92.6%) is higher than Single and grade 2 (5.2%)
Solution:
Conditional relative frequency single employees in grade 2:
[(Single employees in job grade 2)/(Total employees in job grade 2)]*100%=
(222/4,239)*100%=0.052370842*100%=5.2370842% approximately 5.2%
Conditional relative frequency married employees in grade 2:
[(Married employees in job grade 2)/(Total employees in job grade 2)]*100%=
(3,927/4,239)*100%=0.926397735*100%=92.6397735% approximately 92.6%
92.6%>5.2%:
Married and grade 2 (92.6%) is higher than Single and grade 2 (5.2%)
Answer:
c
Step-by-step explanation:
PLEASE HELP QUICKLY! I suck at vocab...match the word with the definition:
1. Devices, such as parentheses, brackets, and fraction bars, used to set apart an expression that should be simplified before other operations are performed
2. An expression that consists of numbers, operations, and sometimes grouping symbol.
3. The order in which operations must be computed when more than one operation is involve.
4. A number representing how many times the base number should be multiplied by itself.
5. A Symbol that represents a value that can change.
6. A single number or variable, or numbers and variables multiplied together.
7. The numerical factor in a term. A number being multiplied by a variable.
8. A number on its own, it has a fixed value.
9. A combination of variables, numbers, and operations.
10. You replace, or substitute, all the variables with numbers and then simplify.
11. A statement that the values of two math expressions are equal (indicated by the sign =).
12. The relation between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
13. The symbol of a math operation.plus, minus, times, divided by, equals
14. An equation or inequality containing one or more variable.
VOCAB
-------------
variable
equation
evaluate
order of operations
operator
open sentence
coefficient
inequality
exponent (power)
Variable expression
grouping symbol
numerical expression
term
constant
1 : Grouping Symbol, 2 : Operator, 3 : Order of Operations, 4 : Exponent, 5 : Variable, 6 : Term, 7 : Coefficient, 8 : Constant, 9 : Numerical Expression, 10 : Variable Expression, 11 : Equation, 12 : Inequality, 13 : Evaluate, 14 : Open Sentence
What is Number System?
A number system is defined as the representation of numbers by using digits or other symbols in a consistent manner
By given data
1 : Devices, such as parentheses, brackets, and fraction bars, used to set apart an expression that should be simplified before other operations are performed: Grouping Symbol
2 : An expression that consists of numbers, operations, and sometimes grouping symbol: Operator
3 : The order in which operations must be computed when more than one operation is involve: Order of Operations
4 : A number representing how many times the base number should be multiplied by itself :Exponent
5 : A Symbol that represents a value that can change: Variable
6 : A single number or variable, or numbers and variables multiplied together: Term
7 : The numerical factor in a term. A number being multiplied by a variable: Coefficient
8 : A number on its own, it has a fixed value: Constant
9 : A combination of variables, numbers, and operations: Numerical Expression
10 : You replace, or substitute, all the variables with numbers and then simplify: Variable Expression
11 : A statement that the values of two math expressions are equal (indicated by the sign : Equation
12 : The relation between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”: Inequality
13 : The symbol of a math operation. plus, minus, times, divided by, equals: Evaluate
14 : An equation or inequality containing one or more variable: Open Sentence
Hence,
1 : Grouping Symbol, 2 : Operator, 3 : Order of Operations, 4 : Exponent, 5 : Variable, 6 : Term, 7 : Coefficient, 8 : Constant, 9 : Numerical Expression, 10 : Variable Expression, 11 : Equation, 12 : Inequality, 13 : Evaluate, 14 : Open Sentence
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The equation of a line is x + 3y = 14.
What is the y-intercept of the line?
−14
14/3
14
314
To find the y-intercept you first need to set everything equal to y and that will put everything in the y=mx+b line equation. Where m is the slope and b is the y intercept
x+3y = 14 subtract x over
3y = -x+14 divide by 3
y = -1/3x +14
So 14 is the y-intercept of the equation
evaluate f=9/5c + 32 for c=35 degree
please help asap 30 pts
Given
43 - 3d= d + 9
Solution
Add 3d to both sides of the equal sign
43 = d + 3d + 9
43 = 4d + 9 Subtract 9 from both sides
43 - 9 = 4d Collect like terms on the left
34 = 4d Divide by 4 on both sides.
34/4 = 4d/4
8 2/4 = d
d = 8 2/4 = 8 1/2 = 8.5
Check
LHS
43 - 3 * 8.5
43 - 25.5
17.5
RHS
d + 9
8.5 + 9
17.5
and the problem checks.
C is the answer
[tex]43-3d=d+9\qquad|\text{subtract 43 from both sides}\\\\-3d=d-34\qquad|\text{subtract d from both sides}\\\\-4d=-34\qquad|\text{divide both sides by (-4)}\\\\d=\dfrac{-34}{-4}\\\\d=\dfrac{34:2}{4:4}\\\\d=\dfrac{17}{2}\\\\\boxed{d=8\dfrac{1}{2}}\to\boxed{c.}[/tex]
A police officer had a taxable income of $47,050 last year. If she paid 10% of her income between $0 and $8350, 15% of her income between $8350 and $33,950, and 25% of her income between $33,950 and $47,050 in federal income tax, how much did the police officer pay in federal income tax last year? a. 3840 b. 3275 c.835 d. 7950
Answer:
The correct option will be: d. 7950
Step-by-step explanation:
The police officer paid 10% of her income between $0 and $8350, 15% of her income between $8350 and $33,950 and 25% of her income between $33,950 and $47,050 in federal income tax.
So, the amount of tax at 10% rate [tex]=(\$8350-\$0)*0.10=\$8350*0.10 = \$835[/tex],
the amount of tax at 15% rate [tex]=(\$33950-\$8350)*0.15 = \$25600*0.15=\$3840[/tex]
and the amount of tax at 25% rate [tex]= (\$47050-\$33950)*0.25= \$13100*0.25= \$3275[/tex]
Thus, the total amount of federal income tax will be: [tex](\$835+\$3840+\$3275)= \$7950[/tex]
Answer:
The correct answer is $7950
Step-by-step explanation:
Type the missing value
K^2+5k+6=(k+2)(k+ )
Joe makes $8.75 per hour amd works 32 hours per week but 18 percent is withheld from each paycheck for taxes. If joes monthly expenses total $595 per month and he is able to save the rest, approximately how much could joe save in one year?
he could save $645 a year so he could save up
HeeeeeEEEEEELP
For which value of x is the equation 3(x + 2) + x = 2x + 16 true?
A) 2
B) 3
C) 4
D) 5
70 point for the right answer
Answer:
The answer is A 1/5x^2
Step-by-step explanation:
If a negative exponent is in the numerator, move the expression to the denominator and make the exponent positive
Answer:
The answer is A 1/5x^2
Step-by-step explanation:
Please help answer ASAP
I believe the answer is $8.76!
What does the quadratic function f(x)=x^2-10x+9 look like when it is rewritten in the form f(x) = a (x-h) + k
ANSWER
When [tex]f(x)=x^2-10x+9[/tex] is written in the form [tex]f(x)=a(x-h)^2+k[/tex], it looks like [tex]f(x)=(x-5)^2-16[/tex]
EXPLANATION
To write [tex]f(x)=x^2-10x+9[/tex] in the form [tex]f(x)=a(x-h)^2+k[/tex], we have to complete the squares.
We add and subtract half the coefficient of [tex]x[/tex] square.
[tex]f(x)=x^2-10x+(-5)^2-(-5)^2+9[/tex]
The first three terms of the function is now a perfect square.
[tex]f(x)=(x-5)^2-25+9[/tex]
We now simplify rto obtain,
[tex]\Rightarrow f(x)=(x-5)^2-16[/tex]
What is 840,449 to the nearest hundred thousand place
Answer:840,400
Step-by-step explanation:840,449
840,400
An angle that measure greater than 0 degrees but less than 90 degrees is the
Kelsay opened a bag of marbles that included red, yellow, green,and blue marbles.There were 144 marbles in all.If there was an equal number of each color of marble,how many of each color of marble were in the bag?
Answer:
36
Step-by-step explanation:
Given that Kelsay opened a bag of marbles.
The bag included 4 colours of marbles of equal numbers.
The four colours are red, yellow, green and blue.
To find the no of marbles of each colour in the bag:
Total number of marbles = 144
Total colours = 4
Hence divide total number by no of colours to get the answre
No of each colour marbles = 144/4 = 36
Using the pythagorean theorem find the length of a leg of a right triangle if the other leg is 8feet long and the hypotenuse is 10 feet long
The Pythagorean Theorem is a² + b² = c². Since the hypotenuse is 10 ft, c=10. The other leg is 8 ft, so b=8. Plug 10 into c, and 8 into b.
a² + 8² = 10²
Square 8 and 10.
= a² + 64 = 100
Subtract 64 from both sides.
= a² = 36
Find the square root of 36.
a = 6
I will mark u brainlist
The pic is kinda upside down lol
A: 50x+0.60(200)=1620
B: It's kinda up to you to write what you've learned about the equality property but I'll give you the steps.
50x+0.60(200)=1620
50x+120= 1620
50x=1620-120
50x=1500
x=1500/50
x=30
C= Donna spent 30 days on her trip.
Check:
50(30)+0.60(200)=1620
50(30)+0.60(200)=1620
1500+120=1620
1620=1620
8 + 7 = 15
Choose the related addition sentence that shows the commutative property of addition.
A. 15 – 8 = 7
B. 14 + 1 = 15
C. 7 + 8 = 15
D. 15 = 8 + 7
For this case, we have the following generic expression:
[tex]a + b = c\\[/tex]
The commutative property of the addition states that the order of the addends does not alter the sum, therefore the previous expression above can be written as:
[tex]b + a = c\\[/tex]
Thus the expression[tex]8 + 7 = 15[/tex], applying the commutative property, can be written as:
[tex]7 + 8 = 15\\[/tex]
Answer:
Option c
What is the pre-image of vertex A' if the rule that created the image is ry-axis(x, y) → (–x, y)?
Answer:
It is given that image of any point (x,y) is (-x,y).
It is the case of reflection of a point through Y - axis.
So , Image of point (x,y) is (-x,y).
it's pre-image will be Point A whose coordinate is (x,y).
Answer: Preimage of A' is A (x,y).
Step-by-step explanation:
Suppose we have given a point A' (-x,y) and let [tex]r_y[/tex] be the rotation transformation with center of rotation at origin(0,0) such that
[tex]r_y (x,y) =(-x,y) \\[/tex]
Now in rotation transformation of any point about y axis i.e.( [tex]r_y[/tex]) it produces the reflected image by changing the polarity of x abscissa only and not of y. Therefore, by applying rotation transformation about y axis on image A'(-x,y) gives the pre-image of (-x,y) = (x,y) [which is the reflection of A'].
For example :- let P (1,2) be any point then after rotation transformation about y axis it will become P'(-1,2).
Please help asap 30 pts
The inequality:
[tex]0.19x+75\geq100\qquad|-75\\\\0.19x\geq25\qquad|:0.19\\\\x\geq\dfrac{25}{0.19}\approx132[/tex]
Answer: d. x ≥ 132If you can buy one can of pineapple chunks for $2 then how manycan you buy with $10?
The answer to your question is,
You can buy 5 cans of pineapple chunks with $10. Since each can is $2, you need to add $2 for each can until you get $10. :3
-Mabel <3
Describe the end behavior of the function.
[tex]f(x) \rightarrow -\infty \ as \ x \rightarrow \infty \ and \ f(x) \rightarrow 0 \ as \ x \rightarrow -\infty[/tex]
This is true because of the graph. As you can see, if x increases without bound, then f(x) take values from the straight line but those values become more and more negative. On the other hand, if x gets more and more negative, then f(x) approaches zero.
Answer:
Step-by-step explanation:
does anyone have the answers to the lesson 10; graph behavior test precal A unit 3 test?
If y varies inversely as x, find the constant of variation if y = 5 when x = -1.
a) -5
b) 5
c) -2
d) 2
(a) - 5
since y varies inversely as x then k = yx ( k is the constant of variation )
using y = 5 when x = - 1, then k = 5 × - 1 = - 5
WHAT'S THE ANSWER?!?
first one: 1200/1.5 = 800, second one: 20,000/10= 2000, third one: 400/20 = 20, fourth one: 266.6, fifth one: 33.3, sixth one: 1000. You're welcome!!
A store buys 77 1/2 ponds of mulch in large shipments . they divied mulch into bags that can each hold 2 1/4 pounds . the store sells 1 bag of mulch for $2.25. For each part of the question show your work.
How many full bags of mulch will the store make?
Considering all the full bags, what is the total sales price of all the bags of mulch?
Alissa sells real estate. She makes a 3% commission rate on each sale. Alissa pays 25% of her commission to her home office to pay for expenses. How can Alissa calculate the amount of money she will keep after selling a $250,000 home? Multiply $250,000 by 0.25. Multiply $250,000 by 0.03. Multiply $250,000 by 0.03, and then multiply again by 0.75. Multiply $250,000 by 0.28.
Answer: Third option is correct.
Step-by-step explanation:
Since we have given that
Selling price of home = $250,000
Rate of commission on each sale she get = 3%
Rate of commission pays for expenses = 25%
So, Firstly amount she get on home sale would be
[tex]\dfrac{3}{100}\times 250,000\\\\=0.03\times 250,000\\\\=\$7,500[/tex]
Amount after paying for expenses would be
[tex]7500\times \dfrac{100-25}{100}\\\\=7500\times \dfrac{75}{100}\\\\=7500\times 0.75\\\\=5,625[/tex]
Hence, Multiply $250,000 by 0.03, and then multiply again by 0.75 is correct.
Therefore, Third option is correct.
Answer:
C
Step-by-step explanation:
In a housing estate the direct proportion of flats to houses is 2:5. If their are 80 flats, how many houses are there?