We have the equations: l = 2b and 2l + 2b = 228;
Then, 4b + 2b = 228;
6b = 228;
b = 228/6;
b = 38 (breadth);
l = 2·38;
l = 76 (length);
3. Subtract 8.263 from 13.48. A. 21.743 B. 5.217 C. 5.783 D. 6.815
If their food and bevareges cost 25.30 and their is an 8% meals tax how much is the bill
Ruben bought 6 new book which increased his collection by 12%. How many books did he have?
Answer:
The initial number of books he had=50
The number of books he has after adding new books=56
Step-by-step explanation:
Step 1: Derive formula for percentage increase
The formula for calculating the percentage increase is;
p={(f-i)/i}×100
where;
p=the percentage increase
f=the final number of books he had
i=the initial number of he had
In our case;
p=12%
(f-i)=defines the increase in the number of books=6
i=unknown
Substitute and solve for i;
12%=6/i
(12/100)=6/i
(12/100)×i=6
i=6×100/12
i=50
The initial number of books he had=50
The number of books he has after adding new books=50+6=56
What is the value of this expression? (11,982)^0
Answer: 1
Step-by-step explanation:
Anything to the 0 power is 1, with the exception of 0⁰ = 0
(1,000,000,000)⁰ = 1
[tex](\frac{2}{5})^{0} = 1[/tex]
(0.0012345)⁰ = 1
PLEASE HELP NEED ANSWER NOW!!!!
The inequality 5m − 7 > 16 holds true for all numbers (Less? or Greater?) than (3? or 4?) in the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
Final answer:
The inequality 5m - 7 > 16 is true for all numbers greater than 4 in the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. After isolating m in the inequality, we find that m must be greater than 4.6. Since we're dealing with whole numbers, the inequality holds for numbers greater than 4.
Explanation:
To solve the inequality 5m − 7 > 16, we first isolate the variable m:
Add 7 to both sides of the inequality to get: 5m > 23.
Next, divide both sides by 5 to find the value of m: m > [tex]\frac{23}{5}[/tex], which simplifies to m > 4.6.
Since m must be greater than 4.6, and we are given a set of whole numbers, we are looking for all numbers greater than 4 in the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. This means the inequality holds true for all numbers greater than 4 in the set.
The scale of a model train is 1 inch to 13.5 ft . One of the model trains is 5 inches long what is the length in feet of the actual train car
1 in: 13.5 ft
x5 x5
5 in : 67.5 ft
Answer: 67.5 ft
Gilbert has 50 drywall screws. He is purchasing more screws. He can purchase up to 6 boxes of screws. Each box of screws contains 200 screws. He can't purchase partial boxes. The function that models the number screws Gilbert has is f(b)=200b+50 f ( b ) = 200 b + 50 , where b is the number of boxes he purchases. What is the practical domain of the function?
Answer:
All integers from 1 to 6 inclusive!
FOR THE LOVE OF GOD HELP ME PLEASE!!The trinomial x2 – 3x – 4 is represented by the model.
What are the factors of the trinomial?
( x + 1) and (x - 4)
to factor the trinomial consider the factors of the constant term ( - 4) which sum to give the coefficient of the x-term ( - 3 )
these are - 4 and + 1
x² - 3x - 4 = (x - 4)( x + 1)
How are rational numbers written as a decimal
i think it because when you rational X and witten the numer as a decimal hope i right just joke
example is rational number 4 12 then it say add and decimal the answer going to be 4.12
Danny makes $8.75 per hour and works 32 hours per week but 18 percent is withheld from each paycheck for taxes. If Danny's monthly expenses total $595 per month and he is able to save the rest, approximately how much could Joe save in one year?
the answer should be $4799.20
A local pet store has a total of 72 fish in 9 tanks. Each tank holds the same number of fish. How many fish are in each tank?
There are eight fish in each tank. Because 72 divided by 9 is 8.
Solve the equation for y.
1) It is 35°C at your school and 90°F at home. Where is the temperature higher?
Answer:
It's hotter at school.
Step-by-step explanation:
The formula is (F - 32) x 5/9 = C
So 90F would be about 31 or 32 Celsius. I would recommend googling conversions like this in the future it's faster that way.
Money that an individual spends is referred to as
A. Investment
B. Liquidity
C. Cash inflow
D. Cash outflow
Cash outflow I think.
the slope of the line below is -3. Use the coordinates of the labeled point to find a point-slope equation of the line
Answer:
answer is A
Step-by-step explanation:
Order this set of numbers from least to greatest: 2.51, 2.3, 2.15
Why do the ratios of sine and cosine depend upon the angle being a part of a right triangle?
Step-by-step explanation:
Think of a right triangle (refer the attached image). If you increase or decrease the length of one of its legs, while keeping the other leg the same (the hypotenuse will increase as well) here we have increased the length of the perpendicular side. You can see that the *subtending* angle (the angle which is opposite to the increasing leg, x) gets larger, while the *adjacent* angle (the angle with the increasing leg as one of its rays) will decrease.
and we know that:
[tex]\sin x=\frac{AB}{AC}[/tex] and [tex]\cos x=\frac{BC}{AB}[/tex] in both the cases the variation of AB is causing the angles to change hence, the ratios of sine and cosine depend upon the angle being a part of a right triangle.
Which exponential function is represented by the graph?
A) f(x) = 2(3^x)
B) f(x) = 3(3^x)
C) f(x) = 3(2^x)
D) f(x) = 2(2^x)
Answer:
C - 3(2^x).
.
The length of a rectangle is 3 inches more than its width if the perimeter is 42 in find the dimensions of the rectangle
The problem uses the perimeter formula. P = 2w + 2l where w is the width, and l is the length.
We know the length (l) is 3 inches longer than it's width (or l = w+3). Substitute w +3 into Perimeter equation.
P = 2w + 2(w+3). That simplifies to P = 4w + 6.
Since P + 42, we have 42 = 4w +6.
With some simple algebra we find that w = 9 and l = 12.
How is 10 2/3 written as a decimal to the nearest hundreth?
How is 10 2/3 written as a decimal to the nearest hundreth?
Answer is 10.2/3 because you round it to the hundreth?
An investment firm wants to create a billboard that displays an enlarged $1,000,000 bill. The actual size of the bill is 2.61 inches by 6.14 inches. If the billboard is 48 feet wide, what's the scale of the bill to the billboard? A. 1′ = 8.71″ B. 1′ = 7.81″ C. 1″ = 8.71′ D. 1″ = 7.81′
We know how wide the billboard will be. Therefore, to know how much the original image should be enlarged, you must divide the final width of the billboard between the current width of the invoice.
We know both data, then we perform the operation:
48 feet /6.14 inches = 7.81 feet / inches .
Therefore the correct answer is option D. 1″ = 7.81′
For the bill to cover the billboard, the bill must be expanded by a factor of 7.81 feet long per inch long that has the original image.
There's seven-eighths of a gallon of chocolate ice cream in the freezer. There's also two-thirds of a gallon of vanilla ice cream. How much more chocolate ice cream is there than vanilla? A. 5⁄24 of a gallon B. 15⁄8 of a gallon C. 1⁄3 of a gallon D. 9⁄24 of a gallon
There's seven-eighths of a gallon of chocolate ice cream in the freezer. There's also two-thirds of a gallon of vanilla ice cream.
[tex]\frac{7}{8}[/tex] gallons of chocolate ice-cream
[tex]\frac{2}{3}[/tex] gallons of vanilla ice-cream
To find how much more chocolate ice cream is there than vanilla
We subtract vanilla from chocolate
[tex]\frac{7}{8} -\frac{2}{3}[/tex]
To subtract fractions we make the denominators same
least common denominator is 24
[tex]\frac{7*3}{8*3} -\frac{2*8}{3*8}[/tex]
[tex]\frac{21}{24} -\frac{16}{24}[/tex]
[tex]\frac{5}{24}[/tex]
[tex]\frac{5}{24}[/tex] of a gallon
Evaluate: 4x (x-2)-3x^2 for x=3
Evaluate: 4x^2-3x+2 for x=2
Simplify -(2x+3y)-4(-x-y)
1.) 12x - 33
2.) 12
3.) -6x + y
What is the range of f(x)?
{ f(x)| –∞ < f(x) < ∞}
{ f(x)| –∞ < f(x) ≤ 4}
{ f(x)| 4 < f(x) < ∞}
{ f(x)| 0 ≤ f(x) < ∞}
Answer:
best ans is { f(x)| –∞ < f(x) ≤ 4}
Step-by-step explanation:
usually to find the range of a fn, u need to see what the value can be. the graph show only a small range of x values. but u can see f(x) is definitely < 4. so the ans is { f(x)| –∞ < f(x) ≤ 4}
The range of the graph will be (–∞, 4]. Then the correct option is B.
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
From the graph, we can conclude that the curve gets saturated at y = 4 and as the value of x approached to infinity, the value of y approach to negative infinity.
The range of the graph will be (–∞, 4].
Then the correct option is B.
More about the domain and range link is given below.
https://brainly.com/question/12208715
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Why do you multiply the tax and the money 3.38 aren’t you supposed to add
Four neighborhood children opened their own lemonade stand. The table shows the sales information for each stand, in glasses of lemonade. What was the largest fraction of sales of the stands' inventory?
A. 1⁄2
B. 4⁄7
C. 3⁄4
D. 7⁄12
Answer:
Option C is the answer.
Step-by-step explanation:
Given that four neighborhood children opened their own lemonade stand. The sales by the four were as follows:
A. 1⁄2
B. 4⁄7
C. 3⁄4
D. 7⁄12
We cannot compare these sales as such since they have different denominators.
To compare we find the Least common denominator for all the four first.
2,7,4,12 have lCD = 12(7) = 84
Now make equivalent fractions for all the four.
A. 1⁄2 = 42/84
B. 4⁄7 = 48/84
C. 3⁄4 = 63/84
D. 7⁄12 = 49/84
Now since denominator is the same we compare and find that
C =63/84 is the largest value.
Hence Option C is the answer.
CAN SOMEONE JUST PLEASE ANSWER THIS ASAP FOR BRAINLIEST!!
The square below has an area of 4 - 4x + x^2 square meters.
What expression represents the length of one side of the square?
Side length = ___ meters
Answer:
(2-x) or (x-2)
Step-by-step explanation:
Given that area of a square is 4-4x+x^2
We know that area of a square = side x side = side ^2
Hence side of a square = square root of area
To find side let us take square root of 4-4x+x^2
This can be written as 4-4x+x^2 = 2^2 -2(2)(x)+x^2
Recall the identity a^2-2ab+b^2 = (a-b)^2
Here a = 2 and b = x
Hence square root can be either 2-x if x<2 or x-2 if x>2
Answer is 2-x or x-2
Select an equivalent form of this equation: x/12 - 7 = x/4
To solve the equation x/12 - 7 = x/4, multiply all terms by 12 to eliminate the fractions. Simplify the equation and solve for x by isolating the variable.
Explanation:To solve for x, we need to find an equivalent form of the given equation. First, let's get rid of the fractions by multiplying all terms by 12 (the common denominator).
After multiplying, we get 12(x/12) - 12(7) = 12(x/4), which simplifies to x - 84 = 3x.
Next, subtract x from both sides of the equation to isolate the variable. This gives us -84 = 2x.
Finally, divide both sides of the equation by 2 to solve for x. The equation becomes -42 = x. Therefore, an equivalent form of the given equation is x = -42.
Kelly has a spinner with 4 equal sections. She spins it 2 times. How many possible outcomes are in the sample space of the experiment?
Answer:
4 times 2 equals 8
Step-by-step explanation:
step by step think in your stomach.
Kelly has a spinner with 4 equal sections. so the outcome is 4 but she spins it 2 times so the outcome will be 4² = 16.
What are Permutation and combination?A permutation is an act of arranging the objects or elements in order. Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.
Given
Kelly has a spinner with 4 equal sections. She spins it 2 times.
How many possible outcomes are in the sample space of the experiment?Kelly has a spinner with 4 equal sections. so the outcome is 4 but she spins it 2 times so the outcome will be 4² = 16.
Let the outcome are (1, 2, 3, 4)
Then all the outcomes are
(1, 1)(1, 2)(1, 3)(1, 4)
(2, 1)(2, 2)(2, 3)(2, 4)
(3, 1)(3, 2)(3, 3)(3, 4)
(4, 1)(4, 2)(4, 3)(4, 4)
So the total outcome is 16.
More about the permutation and combination link is given below.
https://brainly.com/question/11732255
A movie cost $3,254,107 to produce.What digit is in the hundred thousands place?
The digit that we have is 3,254,107.
To find out what digits are there at hundred and thousands place we need to find out the digits at the respective places.
From the given digit we can see that (we start counting the places from the right i.e 7)
At units place we have 7
At tens place we have 0
At hundreds place we have 1
At thousands place we have 4
So, we have '1' at hundreds place and we have '4' at thousands place.
Factor the expression over the complex numbers.
x2+25
Answer:(x+5i) (x-5i) is the right answer
The expression x^2 + 25 can be factored over the complex numbers as (x + 5i) and (x - 5i). This is achieved using the sum of squares formula a^2 + b^2 = (a + bi)(a - bi).
Explanation:The expression you are tasked with factoring is x2 + 25.
This is a sum of squares expression and can be factored using the formula a2 + b2 = (a + bi)(a - bi), where 'i' represents the complex numbers.
So, x2 + 25 can be factored as (x + 5i)(x - 5i).
This is because the square root of 25 is 5, and 'i' represents the imaginary number.
So the factors of the expression x2 + 25 over the complex numbers are (x + 5i) and (x - 5i).
Learn more about Factoring Expression Over Complex Numbers here:https://brainly.com/question/8451673
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