The area of the two designs are given as 52 square inches and 61.375 square inches.
In these the second design 61.375 square inches is having the greater area.
If 500 envelops are made then area of paper = 61.375x500 =30687.5 square inches.
If envelops having 52 square inches are made out of 30687.5 square inches of paper ,number of envelops made =30687.5 ÷ 52=590.144
590 small envelops can be made having area as 52 square inches.
It is 590-500=90 more than the larger envelops made.
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For what value of x:
is the square of the binomial x+1 twenty greater than the square of the binomial x–3?
Hi can someone please help me? If sin2A=cos 3A find the value of A. Can you please explain in full detail how you arrived at your answer? Also Find the exact value of (sec30)^2. Will I need to use a calculator in order to solve this prob?
Jacobs toy box is 4 1/3 ft x 3ft x 5ft.what is the volume of his toy box
Answer:
The volume of a toy box is 65 ft³ .
Step-by-step explanation:
Formula
Volume of a box = Length × Breadth × Height
As given the expression in the question
Jacobs toy box is [tex]4 \frac{1}{3}[/tex] ft x 3ft x 5ft.
i.e
Jacobs toy box is [tex]\frac{13}{3}[/tex] ft x 3ft x 5ft.
Put all the values in the formula
[tex]Volume\ of\ a\ toy\ box = \frac{13}{3}\times 3\times 5[/tex]
= 13 × 5
= 65 ft³
Therefore the volume of a toy box is 65 ft³ .
Julie is going to a store to buy vases to use as centerpieces at her party. Small vases cost $2 and large vases cost $4. She needs to buy a minimum of 15 vases, and can spend a maximum of $50.
Which system of linear inequalities represents this situation? Let s represent the number of small vases and l represent the number of large vases.
A
s + l ≥ 15
2s + 4l ≤ 50
B
s + l ≤ 15
2s + 4l ≥ 50
C
s +l ≥ 50
2s + 4l ≤ 15
D
s + l ≥ 15
2s +4l ≥ 50
Find an equation of the plane that contains the point p(5,1,4) and the line x = 2−t, y = 3 + t, t = 3−3t.
if f(x)=2x and g(x)=x^2-1 which statement is true?
A. (f*g)(x)=2x^2 -1
B.(f*g)(x)=2x(x^2-1)
C.(g*f)(x)=4x-1
D.(g*f)(x)=4x^2-1
At Pizza Pi, 9% of the pizzas made last week had broccoli on them. If 27 pizzas had broccoli, on how many pizzas in all were made last week?
GPA calculation assignment
I need help please
carlos walked 2 miles on Monday and 5 miles on Saturday. the number of miles he walked on thise two days is 3 miles more than the number of miles he walked on Friday. write and solve an addition equation to find the number of miles Carlos walked on Friday.
You are saving money to buy an electric guitar. You deposit $1000 in an account that earns interest compounded annually. The expression 1000(1+r)^2 represents the balance after 2 years where r is the annual interest rate in decimal form. Write a polynomial in standard form.
The interest rate is 3%. What is the balance of your account after 2 years.
The guitar costs $1100. Do you have enough money in your account after 3 years?
The balance of your account after 2 years is $1,060.90. You do not have enough money in your account after 3 years to buy the $1100 guitar.
Explanation:To write a polynomial in standard form for the balance after 2 years, we substitute the given interest rate of 3% (0.03 in decimal form) into the expression $1000(1+r)^2. This gives us $1000(1+0.03)^2. Simplifying this equation, we have:
$1000(1+0.03)^2
= $1000(1.03)^2
= $1000(1.0609)
= $1,060.90
Therefore, the balance of your account after 2 years is $1,060.90.
To determine if you have enough money in your account after 3 years to buy the $1100 guitar, we can substitute the values into the expression $1000(1+r)^3. Using the same interest rate of 3% (0.03 in decimal form) and solving the equation, we have:
$1000(1+0.03)^3
= $1000(1.03)^3
= $1000(1.0927)
= $1,092.70
Since $1,092.70 is less than the cost of the guitar, you do not have enough money in your account after 3 years to buy the guitar.
what is a rational number between 9.6 and 9.7
A rational number between 9.6 and 9.7 is 93/20.
The given decimal numbers are 9.6 and 9.7.
What are the rational numbers?Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).
Now, (9.6+9.7)/2
= 19.3/2
= 9.65
So, the rational number is 965/100 = 93/20
Therefore, a rational number between 9.6 and 9.7 is 93/20.
To learn more about the rational numbers visit:
brainly.com/question/19161857.
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(I will give the brainliest! Please answer quickly)
Leia cuts congruent triangular patches with an area of 21 square centimeters from a rectangular piece of fabric that is 14 centimeters long and 6 centimeters wide. How many of the patches can Leia cut from 31 pieces of the fabric?
Machine A makes 50 more than 4 times the number of parts that Machine B makes each day. If Machine A makes 450 parts each day, how many parts does Machine B make each day? 100 125 500 1850
Answer:
125 is NOT the right answer. read the question out completely. 100 is your answer.
Step-by-step explanation:
you're supposed to write an algebraic expression for 50 more than 4 times the number of parts that Machine B makes and set that equal to 450.
how many factors in the expression 8(x+4)(y+4)(z2+4z+7)have exactly two terms
Mauricio wants to fry 18 potatoes per hour for 3.5, point. He can fry 6 potatoes using each gallon of oil. How many gallons of oil does Mauricio need for frying potatoes? Choose 1 answer: A: 378 B:21 C:189 D:10.5
Answer:
The answer is option D.
Step-by-step explanation:
Mauricio wants to fry 18 potatoes per hour for 3.5 hours.
So, total becomes = [tex]18\times3.5=63[/tex]
As he can fry 6 potatoes using each gallon of oil.
So, for 63 potatoes, he will need = [tex]\frac{63}{6}=10.5[/tex] gallons.
Therefore, the correct answer is option D.
Classify the following triangle. check all that apply?
we know that
the triangle of the figure is
Equilateral------> because has three equal sides and three equal angles
Acute -------> because all three angles are less than [tex]90[/tex] degrees
The measure of each angle in a equilateral triangle is [tex]60[/tex] degrees
therefore
the answer is
A equilateral
D Acute
Answer:
Step-by-step explanation:
Adf
The graph of f(x) is shown below.
(First image below)
If g(x) and f(x) are inverse functions, which graph represents g(x)?
A. 2nd Graph below
B. 3rd Graph below
C. 4th Graph below
D. 5th Graph below
Given that we have the graph of f(x), we want to see which one is the graph of its inverse. The correct option is B, the third graph.
Remember that two functions f(x) and g(x) are inverses if:
f(g(x)) = g(f(x)) = x
This also means that if:
f(x) = y
then g(y) = x.
So we basically should have the exact same graph of f(x), but we just "interchange" the two axes.
From this, we can see that the correct option is the third graph (the one where the curve goes upwards. So the correct option is B.
If you want to learn more about inverse functions, you can read:
https://brainly.com/question/10300045
what is the slope of the line that contains (-3, 4) and (7, 5)
PLEASE HELP EXPLAIN THIS!?!
(picture below)
I have part A however idk how to work out part B how would i write the equation out???
A packet processed by an internet router carries either audio information with probability 7/10, video, with probability 2/10, or text with probability 1/10. the probability that the router processes 70 audio packets, 20 video packets, and 10 text packets in a sequence of 100 packets is:
On a trip, you had to change your money from dollars to British pounds. You got 560560 pounds for 800800 dollars. How many pounds will you get for 300300 dollars?
The main span of Bridge A (2300 feet) is _____ percent shorter than the main span of Bridge B (4700 feet).
The main span of bridge A is 51.1% shorter than the main span of bridge B.
Span of bridge A = 2300 feets
Span of bridge B = 4700 feets
Percentage difference in span length :
[(difference in span) / span of B] × 100%
Difference in span = 4700 - 2300 = 2400
Percentage difference = (2400 ÷ 4700) × 100%
Percentage difference = 0.5106 × 100% = 51.1%
Therefore, the main span of bridge A is 51.1% shorter than the main span of bridge B.
Learn more :https://brainly.com/question/13218948
Two cards are drawn without replacements from a standard deck of 52 playing cards what is the probability of choosing a king for the second card drawn if the first card drawn was a queen
Answer:
Step-by-step explanation:
4
663
Explanation:
Probability of drawing a King is
4
52
Probability of drawing a queen
4
51
as the King was not put back.
So the probability of drawing one then the second would be
4
52
×
4
51
=
4
663
Express the decimal as a percent. 0.24
Final answer:
To express the decimal 0.24 as a percent, you would multiply it by 100. The decimal 0.24 can be expressed as 24%.
Explanation:
To convert a decimal to a percent, you need to multiply it by 100. In this case, to express the decimal 0.24 as a percent, you would multiply it by 100.
0.24 * 100 = 24
So, the decimal 0.24 can be expressed as 24%.
A percent represents a part per hundred.
When you multiply a decimal such as 2.4 by 100 to find its percent equivalent, you move the decimal point two places to the right. If there are not enough decimal places, we use zeros as placeholders.
Therefore, 2.4 times 100 is 240, and 0.24 times 100 is 24, which gives us 24%.
Is the price of 2/5 + 5 greater than or less than 2/5 is it greater than or less than 5 explain your reasoning
What is 5x 1/2? please use any type of model to show work...
the school gets $5 for each T-shirt they sell at a fundraiser. They have a goal of raising $150. If $45 has been raised so far, how many more T-shirts do they have to sell
Compare how you would model and record finding the sum difference of two rocks weighing 2/8 pound and 3/8 pound.
Final answer:
To find the sum or difference of two rocks weighing 2/8 pound and 3/8 pound, add or subtract their numerators while keeping the denominator the same. The sum is 5/8 pound, and if finding a difference with the second rock being lighter, it's 1/8 pound.
Explanation:
To model the sum of two rocks weighing 2/8 pound and 3/8 pound, we work with fractions with the same denominator. To find the sum, simply add the numerators together and keep the same denominator. Thus, 2/8 + 3/8 equals 5/8. To record the sum difference, you list both weights then show their combined weight, which is the sum.
The process is like this:
Write down the weights of the two rocks: 2/8 pound and 3/8 pound.Add the numerators (2 + 3 = 5) while keeping the denominator the same (8).The sum is therefore 5/8 pound.If we were to find the difference, you would subtract the smaller numerator from the larger numerator:
Assuming we're taking the second rock's weight from the first: 3/8 - 2/8.Subtract the numerators (3 - 2 = 1) while keeping the denominator the same (8).The difference is therefore 1/8 pound.When the polynomial is written in standard form, what are the values of the leading coefficient and the constant?
5x + 2 – 3x2
The student body of a large university consists of 65% female students. a random sample of 8 students is selected. what is the probability that among the students in the sample at least 7 are female?
a. 0.1064
b. 0.0896
c. 0.1373
d. 0.1692