Answer:
d
Step-by-step explanation:
The only viable solutions for the given condition are (4.5, 1.35) and (8, 2.40).
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Since the fee is charged at a rate of $0.30 per day, if a book is x days late, the total fee charged would be y = 0.30x.
We can check each ordered pair given to see if it satisfies this equation:
For (-3,-0.90), y = 0.30x = 0.30(-3) = -0.90.
This satisfies the equation, but the fee cannot be negative, so this is not a viable solution.
For (-2.5, -0.75), y = 0.30x = 0.30(-2.5) = -0.75.
Again, this satisfies the equation but the fee cannot be negative, so this is also not a viable solution.
For (4.5, 1.35), y = 0.30x = 0.30(4.5) = 1.35.
This satisfies the equation and the fee is positive, so this is a viable solution.
For (8, 2.40), y = 0.30x = 0.30(8) = 2.40.
This satisfies the equation and the fee is positive, so this is also a viable solution.
Therefore, the viable solutions are (4.5, 1.35) and (8, 2.40).
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Answer/Step-by-step explanation:
1. Sin A = opp/hyp
Opp = 3
Hyp = 5
[tex] sin(A) = \frac{3}{5} [/tex] (substitution)
[tex] sin(A) = 0.6 [/tex]
2. Sin B = opp/hyp
Opp = 4
Hyp = 5
[tex] sin(B) = \frac{4}{5} [/tex] (substitution)
[tex] sin(B) = 0.8 [/tex]
3. Cos Q = adjacent/hypotenuse
Adjacent = 12
Hypotenuse = 13
[tex] cos(Q) = \frac{12}{13} [/tex] (substitution)
[tex] cos(Q) = 0.9231 [/tex] (4 decimal places)
4. Cos S = adjacent/hypotenuse
Adjacent = 5
Hypotenuse = 13
[tex] cos(S) = \frac{5}{13} [/tex] (substitution)
[tex] cos(S) = 0.3846 [/tex] (4 decimal places)
Need accurate answers only
Dawn is making an abstract painting with two triangles. the dimensions are 6 in by 10 in and 8 in by 10 in. what is the total area in square inches.
Anwser: First triangle area =0.5*8*10=40 in2. Secound triangle area =0.5*8*6=24 in2 Sum is 1st area + 2nd area, which is 64 in2.
Can someone please help me Im so stressed out .
Answer:
38 students chose to fly
Step-by-step explanation:
add the female and male
Adriana earns $9.40 per hour working at an animal shelter. How much money will she earn for 18.5 hours of work?
Answer:
173.9
Step-by-step explanation:
9.40 × 18.5 = 173.9.
Answer:
thanks for the points Imao
Step-by-step explanation:
2. Robert has three jobs. He worked at Young's Grocery and earned $5,805. He was a waiter at the A & B Restaurant and earned $12,445. He also earned $56,002
working for CCD Communications. Each employer took out 6.2% for Social Security. How much did Robert pay in Social Security?
Answer:
Robert paid $4,603.6 in Social Security.
Step-by-step explanation:
Robert total earnings:
$5,805 at Young's Grocery.
$12,445 at A&B Restaurant.
$56,002 at CCD Communications.
So his total earnings are of:
5805 + 12445 + 56002 = $74,252
How much did Robert pay in Social Security?
6.2%, that is, 0.062 of $74,252. So
0.062*74252 = $4,603.6
Find the percent of a number 20% of 155
Hey there!
[tex]\text{The word \underline{of} means \underline{multiply} in \underline{mathematical terms}}[/tex]
[tex]\bold{Equation: 20\% \times 155}\\\bold{20\% = \dfrac{20}{100}=\dfrac{20\div20}{100\div20}=\dfrac{1}{5}}\\\bold{\dfrac{1}{5}\times 155=?}\\\bold{155\times1=155}\\\\\bold{\dfrac{155}{5}=31}\\\boxed{\boxed{\bold{Answer: 31}}}\huge\checkmark[/tex]
Good luck on your assignment and enjoy your day!
~[tex]\frak{Amphitrite1040:)}[/tex]
A jet plane can carry up to 200,000 liters of fuel. It used to 130,000 liters of fuel during a flights. What percentage of the fuel capacity did it use on this flight?
What would this be??????
Answer:
I think it's the second one(200(1.034)t = 250)
Step-by-step explanation:
if not correct me. or try the third one.
Find the domain and range of the relation given to the right.
please help!!! i’ll give brainliest!!
Answer:
Step-by-step explanation:
D:(0,10)
R:(14, infinitly)
Jack was 14 years older than Priscilla. Together their ages totaled 158 years. What were their ages?
Answer:
Jack's age: 86, Priscilla's age: 72
Step-by-step explanation:
Priscilla's age can be called x, which makes Jack's x + 14. We know that their added ages total 158 years which means that x + x + 14 = 158, which means that 2x + 14 = 158. We can then solve this by subtracting 14 on both sides and getting 2x = 144. We can divide on both sides to get that x = 72. Since Priscilla's age is x and Jack's is x + 14, we already know Priscilla's age and we need to find Jacks by adding 14 to 72. 72 + 14 = 86, so Jack's age is 86.
Answer:
Jack is 86 years old,
and Priscilla is 72 years old
Step-by-step explanation:
j = Jack
p = Priscilla
j - 14 = p $\Rightarrow$ j = p+14
j+p = 158
By subsituting the value of j ( first equation) into the second equation, we get:
p+14+p = 158
2p+14 = 158
2p = 144
p = 72.
So, j = 86
sarah spent a total of 10 on oranges and apples at the supet marke
t. if she spent 3 dollars less for oranges than she did on apples how much did sarah spend on oranges
Giovanni started a new job and decided to open a bank account with $10. Each week he will deposit $8 from his pay to the account. Which of the following recursive formulas can be used to model the total amount of money in Giovanni's account?
Answer:
an=an−1+10, where a1=8
Step-by-step explanation:
it is
Answer:
an=an−1+10 , where a1=8
Step-by-step explanation:
I just took the test and I got it right!! :)
Do Now
The ratio of girls to boys in a classroom is 3.1. How many boys are there in the classroom if
it has 12 girlS
Answer: 4
Step-by-step explanation:
To find out how many boys are in the classroom you must divide 12 from 3 to find the rate of change. 12/3= 4 so then you multiply 1*4 to find out how many boys are in the classroom. 1*4=4
Hope this helps ;)
Answer:
4 boys
Step-by-step explanation:
3:1 is the ratio of girls to boys
Lets girls be g and boys be b
G=3
B=1
G=12 12/3=4 and what you do to one side you do to the other it is multiplied by 4 so
B=1 time 4 =4
SOLVE EACH OUESTION
4x+3−9x
5+3.2n−6−4.8n=
2y−5(y−3)=
- 1/2 (8b+3)+3b=
Answer:
1: 5x+3
2: 1-1.6n
3: 3y +15
4: -b-3/2
Step-by-step explanation:
Type using number words. (Remember to use a hyphen in your answer where needed.)
355
What is ( 2 ⅓ * x ) + x?
Answer:
10x/3
Step-by-step explanation:
10x/3.............................
On a given day, the proportion of workers from Company B who purchase a coffee from the company cafeteria is 0.62 and the proportion of workers from Company C who purchase a coffee from the company cafeteria is 0.71. A random sample of40 workers was selected from Company B and another random sample of 40 workers was selected from Company C. The proportion of workers from Company B who purchased coffee was
Answer:
the proportion of workers from company B who purchsed coffee was pˆC=0.75
Step-by-step explanation:
Answer: pˆC=0.75
Step-by-step explanation:
There are 8 circles and 10 triangles. What is the simplest ratio of circles to total shapes?
The simplest ratio is 4:9
Which is the product in the expression 5(z+6)-25+x
The formula F = 1.8C + 32 is used to convert temperatures from degrees Celsius, °C, to degrees Fahrenheit, °F. Find the temperature in degrees Fahrenheit that is equivalent to 20°C
Answer:
68F
Step-by-step explanation:
Given data
The formula F = 1.8C + 32
we want to find F for C= 20°C
Substitute into the formula we have'
F = 1.8(20) + 32
F=36+32
F=68
Hence the value of 20°C in Fahrenheit is 68F
Solve the following system of equations by graphing.
y = -1/2 - 1
y = x - 4
Answer:
Convert Equation 1 to slope-intercept form.
y
=
−
x
+
4
The two equations have the same slope,
m
=
−
1
, therefore they are perpendicular and there is no solution to this linear system. The two lines have no points in common.
graph{(x+y-1)(x+y-4)=0 [-10, 10, -5, 5]}
Step-by-step explanation:
1) Can a line have a slope of 1.25? Exp
I have to determine whether the sides of the triangle form a pythagorean triple.
Answer:
Step-by-step explanation:
How do you know if side lengths form a Pythagorean triple?
Pythagorean triples may also help us to find the missing side of a right triangle faster. If two sides of a right triangle form part of a triple then we can know the value of the third side without having to calculate using the Pythagorean theorem. From the ratio, we know that it is a Pythagorean triple.
Evaluate:
65−15÷5 +(−19)
Answer:
43
Step-by-step explanation:
65-15/5+(-19)
65-3+(-19)
62-19=43
write 56
as the product of prime factors
[tex]56 = 28 \times 2 \\ 56 = (14 \times 2) \times 2 \\ 56 = (7 \times 2) \times 2 \times 2[/tex]
48 - 2C = 88 solve for C
Answer:
c = -20
Step-by-step explanation:
Isolate the variable, c. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, subtract 48 from both sides of the equation:
-2c + 48 = 88
-2c + 48 (-48) = 88 (-48)
-2c = 88 - 48
-2c = 40
Next, divide -2 from both sides of the equation:
(-2c)/-2 = (40)/-2
c = 40/(-2) = -20
c = -20 is your answer.
~
A week have five school days and two weekend days. Write as ratio
Answer:
5:2
Step-by-step explanation:
Use the distribute property to find two expressions that are equivalent to 7(3x-4)
84 Is the answer thank me later god bless you
Answer:
28
Step-by-step explanation:
7.3
21 x -18 Eeeeeeeee
cddnq Leo a dsiaka
How many groups of 1 2/3 are in 5/6? Please help
Answer:
2
Step-by-step explanation:
1 2/3 5/6
5/3 -> 10/6 -> 3 1/3
1 2/3 x 2 = 3 1/3
There are [tex]\frac{1}{2}[/tex] groups of the first fraction in the second fraction.
Given the following data:
Fraction 1 = [tex]1\frac{2}{3}[/tex]Fraction 2 = [tex]\frac{5}{6}[/tex]What is a fraction?A fraction is a numerical quantity that is not expressed as a whole number. Therefore, a fraction is simply a part of a whole number.
The parts of a fraction.In Mathematics, a fraction comprises two (2) main parts and these include:
NumeratorDenominatorNext, we would divide the second fraction by the first fraction as follows:
[tex]Groups = \frac{\frac{5}{6} }{\frac{5}{3} } \\\\Groups = \frac{5}{6} \times \frac{3}{5} \\\\Groups = \frac{3}{6} \\\\Groups = \frac{1}{2}[/tex]
Read more on fractions here: brainly.com/question/368260
