Hey!!
A cell phone company charges $45 a month and hence, this would be constant and would be same the same value. And the company charges $0.25 for every text message.
Let's take the number of text messages as ' t '
The question asks us to find the number of text messages needed to make it $75 for the first month.
We know, the constant is $45 and we know the number of text messages as ' t ' and we also know the cost of each text messages is $0.25. And with all this given, we can find the total cost which is denoted by ' c '.
The total cost would be the price of a month added to the cost of text messages.
The total cost = c
The price of for month = $45
The price of text messages = $0.25t
Now, let's form the equation :
... c = 45 + 0.25t ( this is the equation )
The total cost given is $75
Hence, the equation would be :
... 75 = 45 + 0.25t
Subtract 45 on both sides
... 30 = 0.25t
Divide 0.25 on both sides
... t = 120
Hence, the answer would be option ( D )
Hope my answer helps!!
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!!
Brian drove 375 miles using 14 gallons of gas. At this rate, how many miles would he drive using 16 gallons of gas?
[tex]\frac{375}{14}=\frac{x}{16}:x=\frac{3000}{7}(Decimal: x=428.57143...)[/tex]
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
evaluate f=9/5c + 32 for c=35 degree
what is the value of j(-5)
[tex]f(x)=\left\{\begin{array}{ccc}2-x&if&x\leq-5\\x+11&if&x > -5\end{array}\right\\\\-5\leq-5\ \text{therefore for}\ x=-5,\ f(x)=2-x\\\\f(-5)=2-(-5)=2+5=7[/tex]
Rob is setting up a model train track that is 3 3/8 feet long no telephone pole is needed at the start of the track. However along the track he places a telephone pole every 3/8. Foot a part. How many telephone poles dose he need
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
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:
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
HeeeeeEEEEEELP
For which value of x is the equation 3(x + 2) + x = 2x + 16 true?
A) 2
B) 3
C) 4
D) 5
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:
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:
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
An angle that measure greater than 0 degrees but less than 90 degrees is the
What is 840,449 to the nearest hundred thousand place
Answer:840,400
Step-by-step explanation:840,449
840,400
HELPP 70 POINTS!!!!!!!!!!!
The graph shows the function f(x) = 2x. What is the value of x when f(x) = 8?
A.2
B.1
C.0
D.3
Your answer should be D. 3
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
Princess Poly and Prince Digit are trying to find out who is taking all of Poly's potato crisps from the pantry. While they're investigating, they come across the royal handyman, Wizard N. Gineer, who is checking whether the air conditioner (AC) is working properly in the castle. The King is complaining that the castle is too hot. Poly and Digit ask Mr. N. Gineer if he has seen anyone lurking around the pantry, and he tells them he will offer some advice if they help him perform some calculations related to the AC issues. Poly and Digit agree to help the handyman in order to gather potential evidence. "The King thinks the AC was particularly inefficient yesterday," Wizard N. Gineer tells them, "but I think the AC is working properly. I determined that the function f(x)=24−5cosπ12t represents the outside temperature in degrees Celsius, where t represents the number of hours past midnight yesterday. I want to calculate the hours during which the air conditioner was cooling the castle and show the results to the King." Help ensure that Poly and Digit receive some helpful advice from the royal handyman by using the handyman's function to answer the following questions.
The problem requires mathematical analysis to find the time intervals during which the outside temperature, represented by a function of time, exceeds the AC's set point, thus determining when the AC was actively cooling the castle.
Explanation:The question presented to Princess Poly and Prince Digit by Wizard N. Gineer involves a mathematical analysis of an air conditioning (AC) system's performance based on outside temperature fluctuations over time. The outside temperature function provided by Mr. N. Gineer is f(t) = 24 - 5cos(rac{
pi}{12}t), where t is the number of hours past midnight. To determine when the AC was actively cooling the castle, one would need to identify the time intervals during which the temperature exceeded the set point at which the AC is triggered to cool. These intervals will be when the function values are above the temperature set point for the AC to start.
For example, if the AC is set to cool the castle at any temperature above 24 degrees Celsius, the solution would involve finding the values of t for which the function exceeds this limit. This involves solving inequalities and possibly using trigonometric identities and properties to find the appropriate time intervals. However, without the exact temperature set point at which the AC starts, we cannot solve for the specific hours during which the AC would be actively cooling.
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.
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
To learn more on number system click:
https://brainly.com/question/22046046
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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]
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:
A class has 4 boys and 10 girls. What is the ratio in simplest form that compares number of boys to total number of students?
(A) 4:14
(B) 4:10
(C) 2:7
(D) 2:5
C. The answer is C because the total amount of students is 14, and there are 4 boys, which makes the ratio 4 boys to 14 students in total. 4 and 14 are both divisable by 2, so divide 4 to get 2 and divide 14 to get 7. This leaves you with 2 and 7. The ratio would be 2 boys to 7 total students. Hope this helped
Answer:2:5
[tex]4 divided by two = 2 10/2=5[/tex]
In a housing estate the direct proportion of flats to houses is 2:5. If their are 80 flats, how many houses are there?
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 ≥ 132Please help answer ASAP
I believe the answer is $8.76!
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
please help asap 30 pts
Remark
You need a split statement like C or D. A and B would have to be considered if the ages were between 12 and 60. However the discounts apply the other way. Up to 12 and over 60. You need two inequalities to describe this.
Under 12
x ≤ 12
The pointy end of the arrow points toward the x. x must be less than or at most equal to 12. The pointy end of the inequality must be directed towards the smaller number.
Over 60
x ≥ 60
This time the pointy end is directed towards the 60. x must be at least 60 and then upwards.
So C is the correct answer.
Answer:
answer in c pls give brainlist
Step-by-step explanation:
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
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?