Answer:g=2
3g+3-3=9-3
3g=6
3g/3=6/3
g=2
Step-by-step explanation:
there you go
[tex] \bf \implies g \: = 2[/tex]
Step-by-step explanation:[tex] \bf \longrightarrow3g + 3 = 9[/tex]
[tex]\bf \longrightarrow3g = 9 - 3[/tex]
[tex]\bf \longrightarrow3g = 6[/tex]
[tex]\bf \longrightarrow g = \bf\frac{ \cancel{6}}{\cancel{3}}2[/tex]
[tex]\bf \longrightarrow g = 2[/tex]
5x - 4 > 12 AND 12x + 5 < -4
Answer:
x = between -3/4 and 3_1/5
x > 3_1/5 AND x < -3/4
A rectangular swimming pool has a length of 11 feet, a width of 18 feet and a depth of 5 feet. Round your answers to the nearest hundredth as needed.
(a) How many cubic feet of water can the pool hold?
cubic feet
(b) The manufacturer suggests filling the pool to 95% capacity. How many cubic feet of water is this?
cubic feet
(c) One cubic foot of water is approximately 7.48 gallons. How many gallons of water should you put in the pool at 95% capacity?
gallons
(d) A gallon of water weighs approximately 8.35 pounds. How many pounds of water are in the pool at 95% capacity?
pounds
Answer:
a)It can hold 990ft³
b) 940.5ft³
c) 7,034.94 gallons of water
d) 58,741.749 pounds at 95% capacity
Step-by-step explanation:
A) Volume in cubic feet = Length (feet) x Width (feet) x Height (feet)
= 18 × 11 × 5 = 990ft³
B) 990ft³ × 95%
➟ 990 × 0.95
➟ 940.5ft³
C) 7.48 gallons × 940.5ft³
➟ 7,034.94galllons
D) 7034.94gallons × 8.35 pounds
➟ 58,741.749pounds
Question 1 (4 points)
An amusement park charges $2.25 per ticket for the rides. Sean bought 30 tickets
for the rides and spent a total of $80 at the park. Sean spent his money only on ride
tickets and park admission. The price of the fair admission is the same for everyone.
Write a linear equation that can be used to determine the cost for anyone who only
pays for ride tickets and fair admission. Use y to represent the total cost and x to
represent the number of ride tickets. Explain how you calculated the equation
Answer:
y= 2.25x +12.5
Step-by-step explanation:
sean had bought 30 ride tickets and the park admission for a total of 80 dollars. 30 x 2.25 is 67.5 for the rides, leaving 12.5 dollars for admission. therefore everyone who pays for admission has to pay 12.5 dollars. therefore y=2.25x +12.5. 'x' being the number of tickets bought and 'y' being the total money spent.
If a jet travels 60 kilometers in 5 minutes, how many does it travel in 4 hours?
Answer:
In 2 hrs, the jet will travel 1,440 kilometers. In 6 hrs, the jet will travel 4,320 kilometers.
So in 4 hours the jet will travel 2280 km
Step-by-step explanation:
Solving the Question
We're given:
60 km/5 minutes? km/4 hoursFirst, let's simplify the 60 km/5 minutes to km/1 minute:
60 km/5 minutes
Simplify:
12 km/1 minutes
Now, multiply it by 60 minutes to find the km/hour:
12 km/1 minutes x 60 minutes
720 km
720 km/hour
Finally, multiply it by 4 hours:
720 km/hour x 4 hours
2880 km
Answer2880 km
What is the correct answer?
At Landmark Tech, the ID numbers consist of two letters followed by 5 numbers with no repeating numbers or letters.
Part A) How many different ID numbers are possible?
Part B) What is the probability that a randomly selected ID number would have the initials BP in it?
the number of possible ID numbers are 19,656,000 and the probability of getting an ID with initial letters BP is 0.0015.
We have 26 alphabets and 10 digits.
Now, we have ID's that have two letters followed by 5 numbers with no repeating numbers or letters.
So, the possible number of ID's will be calculated by using the permutation.
Possible ID's = 26 × 25 × 10 × 9 × 8 × 7 × 6
Possible ID's = 19,656,000
Number of ID's with the initials BP will be:
Number = 1 × 10 × 9 × 8 × 7 × 6
Number = 30,240
Probability = 30240 / 19,656,000
Probability = 0.0015
Therefore, we get that, the number of possible ID numbers are 19,656,000 and the probability of getting an ID with initial letters BP is 0.0015.
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Write the following expression in expanded form: 9^3x 7^3
60 POINTS Graph the solution to this inequality on the number line. 3/5 z > 3/4
Answer:
open circle at 1 1/4 with an arrow pointing to the right towards 3
Step-by-step explanation:
you need to divide each side by 3/5 to get c all by itself when you divide fractions you keep change flip so it ends up being 5/4 or 1 and 1/4. Since be inequality is greater than and not greater than or equal to it will be an open circle and since z is greater than 1 and 1/4 the arrow will be pointing to the right
Lemoncita is making lemonade to bring to the beach. She has two containers. One holds 2 gallon(s) and the other holds 3 quarts. If she fills both containers, how many cups of lemonade will she have?
Lemoncita will have 44 cups of lemonade to bring to the beach.
What is conversion?The process of changing the value of one form to another is called conversion. It doesn't affects the value,it simply converts one form to another.
The process of conversion depends on the specific situation and the intended purpose. This may be governed by regulation, contract, technical specifications or other published standards.
It is given that-
Number of containers of lemonade = 2
One container holds = 2 gallons
Second container holds = 3 quarts
Now to find the number of cups from these two containers, let us convert the whole quantity into alike units.
Now converting gallons to quarts,
since we know that,
1 gallons = 4 quarts
Therefore,
2 gallons = 2*4 quarts
⇒ 2 gallons = 8 quarts
Thus 2 gallons is equal to 8 quarts.
Therefore total amount lemonade = (8 + 3) quarts
⇒ total amount lemonade = 11 quarts
Now converting quarts to cups,
since 1 quart can hold 4 cups
Therefore, 11 quarts = 11*4 cups
⇒ 11 quarts = 44 cups
Thus 11 quarts is equal to 44 cups.
Thus total cups of lemonade = 44 cups
Hence, Lemoncita will have 44 cups of lemonade to bring to the beach.
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Wheeler’s Bike Company manufactures custom racing bicycles. The company uses a job order cost system to determine the cost of each bike. Estimated costs and expenses for the coming year follow:
Bike parts $ 350,000
Factory machinery depreciation 55,000
Factory supervisor salaries 140,000
Factory direct labor 300,000
Factory supplies 7,500
Factory property tax 37,500
Advertising cost 14,500
Administrative salaries 80,000
Administrative-related depreciation 16,000
Total expected costs $ 1,000,500
Required:
Calculate the predetermined overhead rate per direct labor hour if the average direct labor rate is $15 per hour.
Determine the amount of applied overhead if 18,500 actual hours are worked in the upcoming year.
The predetermined overhead rate per direct labor hour is $12.00
The amount of applied overhead if 18,500 actual hours are worked in the upcoming year is $222,000
What are overheads?
Overheads are expenses or costs incurred by Wheeler’s Bike Company in the manufacturing process which cannot be traced to the finished goods, which are factory machinery depreciation, factory supplies, factory supervisor salaries and factory property tax
Total factory overheads= factory machinery depreciation +factory supplies+ factory supervisor salaries+ factory property tax
Total factory overheads=$55,000+$140,000+$7,500+$37,500
Total factory overheads=$240,000
predetermined overhead rate per direct labor hour=total factory overheads/total labor hours
total labor hours=Factory direct labor/direct labor rate
total labor hours=$300,000/$15=20,000 hours
predetermined overhead rate per direct labor hour=$240,000/20,000
predetermined overhead rate per direct labor hour=$12.00
amount of applied overhead for 18,500 actual hours=18,500*$12
amount of applied overhead for 18,500 actual hours=$222,000
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why is it that my question is never answered?
Answer: I don't know
Step-by-step explanation:
Answer:
I don't know how to answer your question
HELP ME OUT PLEASE!!!!!!!
What equation, in point-slope form, matches the graphed line shown?
A) y - 5 = -2/3 (x + 9)
B) y - 2 = - 3/4 (x - 6)
C) y - 6 = 4/5 (x - 2)
D) y + 6 = 4/5 (x + 3)
The point-slope form which matches with the given graph is y - 2 = -3/4 (x - 6) which is option (B).
Given a line shown in the graph with points (6, 2)
We need to find the equation using the point-slope form as
= y - y₁ = m ( x - x₁)
Here m is the slope
To write this equation we need to find the slope for that we need another point.
We can observe the line cuts the axes on another point in the graph as
(-2, 8).
So slope (m) = y₂ - y₁ / x₂ - x₁
= 8 - 2 / -2 - 6
= 6 / -8
= -3 / 4
Now the point-slope equation form can be written as
= y - y₁ = m ( x - x₁)
= y - 2 = -3/4 (x - 6)
Therefore, the correct option is (B).
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What is 5/10 as a decimal?
Answer: 0.5
Step-by-step explanation:
1/2=0.5
Which equations are true? Select all that apply.
A. 57 x 10,000 = 57,000
B. 57 x 10º = 57,000
C. 57 x 1,000 = 5, 700
D. 57 x 102 = 570
E. 57 x 10,000 = 570,000
Answer: B, C, E
Step-by-step explanation:
When you multiply 57 by 1,000 you do indeed get the answer 57,000 because you only add 3 zeros because 1,000 has 3 zeros, same thing goes with 57 x 10,000, you just add 4 zeros to 57 to get your answer.
What is the y-intercept of the quadratic function
f(x) = (x – 8)(x + 3)?
(8,0)
(0,3)
(0,–24)
(–5,0)
Answer:
(0,-24)
y-int-->x=0
f(0)=(0-8)(0+3)
f(0) =(-8)(3)
f(0)= -24 where: f(x)=y
y= -24
A patient is to take 2 4/5 tablespoons of medicine per day in 4 equally divided doses how much medicine is to be taken in each dose
Answer:
According to math, it's 7/10.
Hope this helps!
Have a great day and God bless! :)
As the bookkeeper of Moore Company, you are asked to complete a bank reconciliation from the following:
Note: Round your answer to 2 decimal places.
Checkbook Balance:
Bank balance:
Deposits in transit:
Note collected:
Outstanding checks:
Bank service charge:
$ 48,621.80
57,190.52
3,369.08
4,000.00
7,957.80
20.00
Answer:
so first, the Bank Balance, Deposits in Transit, and Bank Service Charge are all categorized in the "Bank Statement Balance". Checkbook Balance, Note Collected, and Outstanding Checks are all categorized in the "Checkbook Balance". So this means that the Reconciled Balance of the "Bank Statement Balance" is 60,579.61, and the "Checkbook balance" is 60,579.60. The bank statement column is Bank Balance, Deposits in transit, and Bank service charge. The Checkbook Balance column is Checkbook Balance, Note collected, and Outstanding Checks.
Step-by-step explanation:
The path of an airplane taking off is modeled by a linear equation. The slope of the
line is 50, and (2, 150) is a point on the line. What is the equation of the line in
slope-intercept
form.
Answer:
50x + 50
Step-by-step explanation:
Y = mx + b
Y = 50x + b
f(2) = 150
150 = 100 + b
b = 50
the equation of the line would be y = 50x + 50 which linear equation is used to represent the path of an airplane taking flight.
We have been given that the slope of the line is 50, and the point on the line is (2, 150).
What is a linear equation?A linear equation is represented as an equation in which the highest degree of the variable is always one.
Let the equation of the line be in slope-intercept form.
⇒ y = mx + b
A linear equation is used to represent the path of an airplane taking flight.
Here m = 50,
⇒ y = 50x + b
If the x-coordinate is 2 and then y-coordinate is 150
So f(2) = 150
⇒ 150 = 100 + b
⇒ b = 50
Substitute the value of b = 50 in the above equation to get
⇒y = 50x + 50
Therefore, the equation of the line would be y = 50x + 50.
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Which of the following could be a real-world description of 5x − 18? (I ALSO NEED THIS FAST)
A: $18 in addition to the cost of 5 hot dog combos
B: The cost of 18 people splitting 5 hot dog combos
C: The cost of hot dog combos less an $18 coupon split by 5 people
D: $18 less than the cost of 5 hot dog combos
The correct answer is (C) The cost of hot dog combos less than an $18 coupon split by 5 people.
A = {-2, -1, 0, 1, 7} I ={-2, -1, 1, 2, 8} find the union of A and I
Answer:
It is AUB=(0,-2,-1,0,1,2,7,8)
Step-by-step explanation:
A has (0 and 7)only
I has (2,8) only
and the union is (-2,-1,1)
help
of an hour then \$2.00$2.00 for each additional \displaystyle \frac{1}{10}
10
1
of an hour.
Using this information, fill in the table below
Using proportions, the table is filled as follows:
t = 9/10, price $16.3.t = 4, price $78.3.t = 3(9/10), price $76.3.t = 7, price $138.3.What is a proportion?A proportion is a fraction of a total amount, and the measures can be related using a rule of three, which derives from proportional relationships.
Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures, involving operations such as division and multiplication, as they involve unit rates.
The rates are given as follows:
$3 for the first 0.1 hour.$2 for each subsequent 0.1 hour.Hence, for 9/10 = 0.9 hours, the price is given as follows:
3 x 0.1 + 2 x (0.8/0.1) = 16.3.
For 4 hours, the price is given as follows:
3 x 0.1 + 2 x (3.9/0.1) = 78.3.
For 3 and 9/10 hours = 3.9 hours, the price is given as follows:
3 x 0.1 + 2 x (3.8/0.1) = 76.3.
For 7 hours, the price is given as follows:
3 x 0.1 + 2 x (6.9/0.1) = 138.3.
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7. USE EFFICIENT METHODS The product of
two integers is -24. The difference
between the two integers is 14. The sum of
the two integers is 10. What are the two
integers?
The two integers p and q are 12 and –2.
The product of two integer is –24
the difference between the two integer is 14
The sum of two integers is 10
if p+ q and pq are known then quadratic equation corresponding to roots as p and q is given by,
⇛ x^2 - (p+q)x + pq=0
simplify the value of p and q
⇛ x^2-10x-24=0
⇛ x^2-12x+2x-24=0
⇛ (x^2-12x)+(2x-24)=0
⇛ x(x-12)+2(x-12)=0
⇛ (x-12)(x+2)=0
The value of two integer are x=12,x=-2.
Hence, p and q are 12 and -2.
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In Question 1-2, determine the type of reasoning for each statement, (GEOMETRY)
1. IN ORDER TO PARTICIPATE IN SCHOOL SPORTS, STUDENTS MUST HAVE A MINIMUM GPA OF 2.0, JIM HAS A GPA OF 2.75 THEREFORE HE CAN PARTICIPATE IN SCHOOL SPORTS.
2. EVERY TUESDAY THAT YOLANDA FAMILY HAS VISITED A SPECIFIC LOCAL RESTAURANT , THE KIDS MEAL HAVE BEEN FREE. WHEN YOLANDA FAMMILY VISITS THAT RESTAURANT NEXT TUESDAY, the kids meal will bee free.
The type of reasoning for the first statement is quantitative reasoning.
The type of reasoning for 2nd statement is logical reasoning.
What is an average GPA?Grade Point Average is defined as a score used to evaluate success during the whole of the degree program.
Students must have a minimum GPA of 2.0 in order to participate in school sports
Since Jim has a GPA of 2.75, thus he is eligible to play.
Therefore, the type of reasoning for this statement is quantitative reasoning.
The children's meal has always been free whenever the Yolanda family has gone to a certain local restaurant on a Tuesday.
When the Yolanda family visits that restaurant next Tuesday, the children's meal is free.
Therefore, the type of reasoning for this statement is logical reasoning.
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Can anyone pls help I don't get this problem
The function operation (f.g)(x) is solved by finding the composite function of the functions.
The operation (f.g)(x)[tex](f.g)(x)= f(g(x))\\g(x) = \frac{1}{x} = f(\frac{1}{x})\\f(\frac{1}{x}): \frac{x}{2+x} \\(f.g)(x) = \frac{x}{2+x}[/tex]
DomainThe domain of this function is given as
[tex]domain = x < -2 or x > -2\\Interval notation (- infinity , -2) U (-2, inifnity)[/tex]
From the calculations above, the composite function is the ratio of x to x + 2, while the domain of this function moves from negative infinity to negative two and negative two to infinity.
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Which is a counterexample to the following statement?
If an animal is brown, then it is a dog.
1. Chocolate Lab
2. Blue Jay
3. White Rabbit
4. Squirrel
The example here that can be seen to be the counterexample would be squirrel.
What is a counter example?This is the term that is used to refer to the example that is given which is in opposition to the example that has been offered previously in a sentence. This is the counterexample in the question that we have here given that the squirrel that is being talked about is not a dog and also the color that it has is also not brown.
Hence we would conclude that the best solution to the question is that The example here that can be seen to be the counterexample would be squirrel.
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2y − 7x + 4x2 + 3y + 7x 4x2 − 14x + 5y 4x2 − 14x 4x2 + 14x + 5y 4x2 + 5y
The equivalent expression of 2y − 7x + 4x2 + 3y + 7x is 5y + 4x². then correct option is D.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
We need to find the equivalent expression of 2y − 7x + 4x² + 3y + 7x.
2y − 7x + 4x² + 3y + 7x.
Solve the like terms in the expressions;
2y + 3y − 7x + 7x + 4x²
5y + 4x²
Therefore, the equivalent expression of 2y − 7x + 4x2 + 3y + 7x is 5y + 4x². then correct option is D.
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The complete question is;
Find the equivalent expression of 2y − 7x + 4x2 + 3y + 7x.
A 4x2 − 14x + 5y
B 4x2 − 14x
C 4x2 + 14x + 5y
D 4x2 + 5y
Enter the prime factorization of 198. Use exponents for repeated factors . Be sure to use the between different factors. For example , the prime factorization for 12 can be entered as 2 ^ 2 * 3 or 3 * 2 ^ 2 .
Answer:
2 * 3^2 * 11
Step-by-step explanation:
198/2 = 99 (so 2 is a prime factor)
99/3 = 33 (3 is another factor)
33/3 = 11 (3 is yet another factor)
11 is prime so cannot factor any further
198 = 2 x 3 x 3 x 11 = 2 x 3^2 x 11
[tex]3 \sqrt{2a - b { \: }^{2} } when \: a = 20 \: and \: b = 3[/tex]
what is the answer of this question
Answer:
Step-by-step explanation:
4
a
2
+
4
a
b
+
b
2
Question 5 (15 points)
Answer:
62.5 % is write answer.
Step-by-step explanation:
Please like my answer to make me brain list.
Round to the nearest thousands 34,385
need help
Answer:34,000
Step-by-step explanation:
Answer:
its 34,000 because it below 5
Step-by-step explanation:
brainliest please
