Answer:
[tex]Area = 3\dfrac{15}{16}\ sq\ ft[/tex]
Area is greater than [tex]3\frac{1}{2}[/tex] sq ft.
Step-by-step explanation:
Length of rectangular sign board = [tex]3\frac{1}{2}[/tex] ft
Width of rectangular sign board = [tex]1\frac{1}{8}[/tex] ft
Area of a rectangle is given by the formula:
[tex]A = Length \times Width[/tex]
To find the area, we are going to multiply [tex]3\frac{1}{2}[/tex] with [tex]1\frac{1}{8}[/tex].
[tex]1\frac{1}{8}[/tex] is greater than 1.
Therefore the multiplication will be greater than [tex]3\frac{1}{2}[/tex].
Hence, we can say that area will be greater than [tex]3\frac{1}{2}[/tex] sq ft.
Area of the sign:
[tex]A = 3\dfrac{1}{2}\times 1\dfrac{1}8\\\Rightarrow A = \dfrac{7}{2}\times \frac{9}8\\\Rightarrow A = \dfrac{63}{16}\\\Rightarrow A = 3\dfrac{15}{16}\ sq\ ft[/tex]
What is the Greatest Common Factor of the two monomials?
15a²b, 35ab2
Answer:
5ab
Step-by-step explanation:
To find the greatest common factor (GCF), you will need to find the largest value that both of these monomials can be divided by. There are three different parts to these monomials: the number value, variable a, and variable b.
Find the largest number of each element that can be divided by both.
Numbers: the GCF of 15 and 35 is 5 (15/5 = 3, 35/5 = 7, 3 and 7 are prime numbers and therefore, cannot be divided further)
Variable a: the GCF of a² and a is a
Variable b: the GCF of b and b² is b
Therefore, the GCF is 5ab.
One year after you buy a tree, it is 10 feet tall. Each year after you buy the tree, it grows 2 feet. Write a function that represents the arithmetic sequence. How long does it take for the tree to reach its maximum height of 28 feet?
Answer: f(x)=10+2x
Step-by-step explanation: x = the number of years. 10 represents the starting length . please tell me if i was right
Answer: f(n)=2n+10
Step-by-step explanation:
Everyday Isabel swims 10-20 laps in a 50 meter pool. The amount of time she spends swimming is represented by the function f(x) = 3x where x represents the number of laps she swims.
Given :
Everyday Isabel swims 10-20 laps in a 50 meter pool.
The amount of time she spends swimming is represented by the function f(x) = 3x .
To Find :
The speed of Isabel.
Solution :
Distance travelled in x laps is, D = 50x .
It is given that time taken is, t = 3x .
So, speed of Isabel is given as :
[tex]Speed=\dfrac{Distance}{Time}\\\\Speed = \dfrac{50x}{3x}\\\\Speed = \dfrac{50}{3}=16.67 \ m/s[/tex]
Hence, this is the required solution.
If is parallel to , which statement must be true?
A.
The perpendicular distance between and decreases as the lines are traversed right to left.
B.
and do not intersect.
C.
and intersect at 90° angles.
D.
The perpendicular distance between and increases as the lines are traversed left to right.
Answer:
D
Step-by-step explanation:
plato
can someone please help me with this math problem please and thank you
Answer:
67°
Step-by-step explanation:
AI/AK=AH/AJ=HI/JK
angle HJK= angle AHI
= 67°
angle x= 180°-46°-67°
=67°
PLZ HELP ASAP what number should be placed in the box to help complete the division calculation
It should be 18 because after subtracting 55 and 54 you get 1 but then you bring down the 9 so you get 19. 18 can only fit to 19 one time, 18x 1, and you get 18. So you subtract 18 and 19 and get 1 then you bring down the 3 and get 13. Answer=18
factor each:
x^8-13x^4+36=0
Answer:
Step-by-step explanation:
a = x^4
a^2 - 13a +36 = 0
(a-4)*(a-9)=0
a = 4, a = 9
so
x^4 = 4, x^4 = 9
x = + or - 4th root of 9 and 4
Explain three ways natural barriers impacted civilizations.
Answer:
oooooooooooooooooooooooooo
Step-by-step explanation:
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Susan has 3/4 cup of raisins and she divides them into 3/8 cup servings. How many servings are there in 3/4 cup of raisins?
2 cups raisins
Step-by-step explanation:
3/4 divided by 3/8
3/4 x 8/3 = 2/1 = 2
A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
There are two 3/8 cup servings in 3/4 cups of raisins.
The number of 3/8 cups of servings = 2 servings.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Number of cups of raisins Susan have = 3/4 cups
The number of 3/8 servings in 3/4 cups of raisins:
= 3/4 ÷ 3/8
= 3/4 x 8/3
= (3 x 8) / (4 x 3)
= 2 servings
Thus,
There are two 3/8 cup servings in 3/4 cups of raisins.
The number of 3/8 cups of servings = 2 servings.
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How much interest is earned on a principal of $900 invested at an interest rate of 13% for eight years?
Answer:
936
Step-by-step explanation:
13% of 900 is 117
117x8= 936
pls complete it (picture)
Answer:
35
Step-by-step explanation:
Roses are red vilots are blue am not that pretty but Dam look at u
Answer:
35 cm²
Step-by-step explanation:
5 cm * 7 cm = 35 cm²
is 8.6x10^7 written in scientific notation
Answer:
86000000
Step-by-step explanation:
86000000
Move the decimal point 7 places to the left.
8.6000000*107
Answer:
8.6 x10^7
^So it's 86000000
What is the slope of the line?
Answer:
its positive slope
Step-by-step explanation:
5. Suppose Sal’s total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different
Answer:
Given:
Profit of every sandwich = $2
Profit of every wrap = $3
x = sandwich
y = wrap
Last month: 2x + 3y = 1,470
Next month: 2x + 3y = 1,593
Based on the given equation:
Both still have the same profit. $2 for sandwiches and $3 for wraps.
The only reason why there is a difference in the total amount is the change in the number of sandwich or wrap sold in a given month.
Since, next month's total sale is higher than last month's total sale, it is safe to assume that the sale of sandwich or wrap is higher than last month's sale.
The graph of the functions for the two moths are similar because both conditions have same slope and they are different because they have different [tex]y-[/tex] intercept.
What is slope intercept form?
The graph of the linear equation is a line with [tex]m[/tex] as slope, [tex]m[/tex] and [tex]b[/tex] as the [tex]y-[/tex] intercept. This form of the linear equation is called the slope-intercept form, and the values of [tex]m[/tex] and [tex]b[/tex] are real numbers.
It is given that, the profit amount is [tex]$\$2$[/tex] for each sandwich and [tex]$\$3$[/tex] for each wrap and total profit is [tex]$\$1593$[/tex].
So, the equation is,
[tex]2x+3y=1593[/tex]
Change the equation in slope intercept form [tex]y=mx+b[/tex]
So,
[tex]2x+3y=1593[/tex]
Subtract [tex]2x[/tex] in both sides.
[tex]2x+3y-2x=1593-2x[/tex]
[tex]3y=1593-2x[/tex]
Divide each side by [tex]3[/tex].
[tex]$\frac{3y}{3}=\frac{1593}{3} -\frac{2x}{3}[/tex]
[tex]$\therefore y=-\frac{2x}{3}+531$[/tex]
So, the equation is,
[tex]y=-\frac{2x}{3}+531$[/tex]
The graph of the equation is shown below.
From the below graph, we will have two step down and three step right.
So, slope looks like rise over run.
So, the graphs represents, how many wraps and sandwiches were sold.
Both will have same slope, because if we will make the equation for this, it is like,
[tex]$2x+3y=1593$[/tex]
The calculation is follow for both condition is same.
Since, both conditions have same slope but different [tex]y-[/tex] intercept.
Hence, next month's total sale is greater than last month's total sale, it is safe to consider that the sale of sandwich or wrap is greater than last month's sale.
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Work out the value of 5 squared add 2 cubed
Answer:
33
Step-by-step explanation:
5 squared is 25, 2 cubed is 8. 25+8=33
Please mark brainliest Hope this helps :D
The value of the given expression 5² + 2³ is 33
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.
For example, 2x+3
The given expression, 5² + 2³, involves two operations: squaring and cubing.
The first operation, 5², means that we need to multiply 5 by itself, which results in 25.
The second operation, 2³, means that we need to multiply 2 by itself three times, which results in 8.
Therefore, 5² + 2³ is equivalent to 25 + 8, which gives us 33 as the final answer.
In other words, the value of the given expression is 33. This calculation involves basic arithmetic operations and can be easily solved using a calculator or mental math skills.
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A high school championship football game was attended by 1580 fans. there were 640 were out of state fans at the game. the other fans were local.
Answer:
Step-by-step explanation:
1580-640=940 were local
No. of local fans = 940
What is subtraction?Subtraction is one of the four basic arithmetic operations in mathematics. It represents the operation of removing objects from a collection. The minus sign signifies subtraction −.
Example: There are nine oranges arranged as a stack, out of which four oranges are transferred to a basket, then there will be, 9 – 4 oranges left in the stack, i.e. five oranges.
Therefore, the difference between 9 and 4 is 5, i.e., 9 − 4 = 5.
Subtraction is not only applied to natural numbers but also can be incorporated for different types of numbers such as negative numbers, fractions, rational & irrational numbers, decimals, functions, matrices and vectors.
Given,
Total fans attended championship = 1580
No. of out of state fans = 640
No of local fans = total fans - no. of out of state fans
= 1580 - 640
No of local fans = 940
Hence, there were 940 local fans who attended football championship.
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z=6x-y solve for x i need this for aleks
Answer:
(z+y)/6=x
Step-by-step explanation:
Solve for x: z=6x-y
Add y on both sides: z+y=6x
Divide by 6 on both sides (z+y)/6=x
Hope this helps plz mark brainliest if correct :D
The expression z = 6x - y can be written in terms of z and y as x = (z + y)/6, the answer is x = (z + y)/6.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that:
The expression is:
z = 6x - y
The linear expression is defined as the relation between two variables, if we plot the graph of the linear expression we will get a straight line.
If in the linear expression, one variable is present, then the expression is known as the linear expression in one variable.
To solve for x make the subject as x:
z + y = 6x
Divide by 6 on both sides:
x = (z + y)/6
Thus, the expression z = 6x - y can be written in terms of z and y as x = (z + y)/6, the answer is x = (z + y)/6.
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Aiden estimates that the length of a piece of rope is 7.2 inches. If its actual length is 6.5 inches, what is the percent error of Aiden’s estimate?
Answer:
♡Greetings!
It's 11 percent ♡
Hope I could help you, stay safe! \(≧▽≦)/
~ Clara
✧･ﾟ: *✧･ *:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ *:･ﾟ✧*:･ﾟ✧✧･ﾟ: *✧･ *:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ
Step-by-step explanation:
What is the product of -12 and -4?
-48
-16
16
48
Answer:
48
Step-by-step explanation:
Multiply 12 and 4: 48.
Then there are two negatives that cancel out.
Hope this helps :D
does anyone know the answers to this ? Pls help me out
Answer:
C. 4
Step-by-step explanation:
2x³+2x¹+2x+5+4/x-1
Select the correct answer.
Which inequality represents all the solutions of -2(3x + 6) ≥ 4(x + 7)?
A. x ≥ -4
B. x ≤ -4
C. x ≥ 8
D. x ≤ 8
Answer is B: x≤-4
Step-by-step explanation:
-2(3x+6)≥4(x+7)
distribute
-6x-12≥4x+28
add 12 on both sides and subtract 4x on both sides
-10x≥40
divide by -10 on both sides. keep in mind that this flips the inequality sign.
x≤-4
Answer:B
Step-by-step explanation:
Select the correct answer. Which statement is true? A. As the risk of an investment decreases, the opportunity of gains increases. B. As the risk of an investment decreases, so does the potential for its return. C. As the risk of an investment increases, its market value increases. D. As the risk of an investment increases, the opportunity of gains decreases. E. As the risk of an investment increases, its market value decreases.
Answer:
The answer is C. As the risk of an investment increases its, market value increases.
Step-by-step explanation:
Which model represents a fraction greater than 3/5?
Answer:
the 2nd one
Step-by-step explanation:
Answer:
its the blue circle
Step-by-step explanation:
It took a car 3 days to travel 1068 miles. What was this car's average speed, in miles per hour? (round to the nearest mile per hour)
Answer:
Hello Everybody Love Pizza
Step-by-step explanation:
Answer: 15 mph if they go without stop
Step-by-step explanation:
if correct ill give u brainlest
Answer:
12 is the answer
Step-by-step explanation:
12
Please help me!! Please!!
Janet types 584 words in 8 minutes. How fast can she type per minute?
Answer:
73
Step-by-step explanation:
584/8
On a sunny day, if a 36-inch yardstick casts a 21-inch shadow, how tall is a tree whose shadow is 168 in.?
A.143 in.
B.196 in.
C.288 in.
Answer:
I'm pretty sure the answer is 288
Factor the Expression. 8x - 40 *
(8x - 5)
8(x - 5)
8(x - 40)
Answer:
8(x-5)
Step-by-step explanation:
it would be 8(x-5). factoring means you take a common factor from them all, and put the remaining in parenthesis.
The function h(x) = g(x + 2) - 1, complete the table for h(x).
g(x + 2) - 1
h(x)
-2
-1
0
(0+2) - 1
1
1
2.
Part A: What is the value for h(2)?
Select a Value
Answer:
x g(x + 2)-1 h(x)
-2 g(-2+2)-1 -1
-1 g(-1+2)-1 0
0 g(0+2)-1 1
1 g(1+2)-1 2
2 g(2+2)-1 3
Part A: 3
Part B: -1
Step-by-step explanation:
When you have questions like these all you have to do is plug in and solve.
For example I will do h(2) & h(-2) for reference.
h(2):
[tex](2+2)-1\\4-1\\3[/tex]
h(-2):
[tex](-2+2)-1\\0-1\\-1[/tex]
