Answer:
Step-by-step explanation a=0.32
The required simplified value of x in the given expression is 8.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
2.8x + 10 + 5.7x = 70+x
Simplifying,
8.5x + 10 = 70 + x
8.5x - x = 70 - 10
7.5x = 60
x = 60 / 7.5
x = 8
Thus, the required simplified value of x in the given expression is 8.
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a pizzeria makes pizzas that are shaped as perfect circles, and measures pizza size by the diameter of a pizza. by surface area, approximately what percent larger is a 16-inch pizza than a 12-inch pizza?
Using the concept of percentage we get 16-inch pizza is 43.75% larger than a 12-inch pizza.
What is the percentage?Percentage means out of hundred. A number that is expressed as a fraction of a hundred is called a percentage. Percentage change = Change in the value / Initial value.
Area of circle = π R²,
Where R is the radius of circle.
Given that size of a pizza is measured by its diameter and surface area.
Diameter of the first pizza = 16 inch
So its radius = 8 inch
Hence area = π×8²
= 64π
And the diameter of the other pizza = 12 inch
So, its radius = 6 inch
Hence its area = π×6²
= 36π
Now the difference in areas of Both the pizza = 64π - 36π
= 28π
Now percentage difference in areas of both pizzas = 28π×100)/64π%
= 2800/64
=43.75%
Hence, 16-inch pizza is 43.75% larger than a 12-inch pizza.
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Select all rational numbers.
√75
-√25
2*√7
√100
√0.36
√0.0144
√3/7
-√36/49
The rational numbers are -√25, -√25, √100, √0.36, √0.0144 and -√36/49. Select them
How to identify rational numbers?A rational number is a number that can be expressed as a fraction where both the numerator and the denominator in the fraction are integers e.g 2/3, 7/1, √100 = 10/1, etc.
An irrational number is any real number that cannot be expressed as the quotient of two integers. This is the opposite of rational numbers. They are usually of roots that cannot give integers e.g 3√5, √8, etc.
√75 = √(25 x 3) = √25 x √3 = 5 x √3 = 5√3 (This is not rational)
-√25 = -5 = -5/1 (This is rational)
2*√7 = 2√7 (This is not rational)
√100 = 10 = 10/1 (This is rational)
√0.36 = √(36/100) = 6/10 (This is rational)
√0.0144 = √(144/10000) = 12/100 (This is rational)
√3/7 = √3/7 (This is not rational)
-√36/49 = -6/7 (This is rational)
Therefore, -√25, -√25, √100, √0.36, √0.0144 and -√36/49 are rational numbers. They should be selected
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a rectangular field measures 90 meters by 162 meters. what will it cost to cover the field with pallets of grass each covering 90 squard yards and costing $213 per pallet
The cost of covering the field with grass pallets is $40996.58.
Given that the rectangular field measures 90 m and 162 m.
Hence, the area of the field is 90 X 162 m²
The grass pallets are sure in shape with an area covering 90 square yards.
1 m = 1.09 yards
Hence,
1 m² = 1.09² square yards
Hence,
90 X 162 m² = 90 X 162 X 1.09² square yards
Hence the number of pallets to be used is
(90 X 162 X 1.09²) / 90
= 162 X 1.09² pallets.
= 192.4722 pallets.
1 pallet costs $213
Hence,
192.4722 pallets cost
192.4722 X 213
= $40996.58
Therefore we get the cost of covering the field with grass is $40996.58.
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Write each ratio as a fraction in simplest form.
11 1/3 out of 50 2/3
Answer:
[tex]\frac{17}{76}[/tex]
Step-by-step explanation:
expressing the ratio in fractional form
[tex]\frac{11\frac{1}{3} }{50\frac{2}{3} }[/tex] ← change mixed number to improper fractions
= [tex]\frac{\frac{34}{3} }{\frac{152}{3} }[/tex] ( multiply numerator and denominator by 3 )
= [tex]\frac{34}{152}[/tex] ( divide numerator and denominator by 2 )
= [tex]\frac{17}{76}[/tex] ← in simplest form
Catseby ran up 16 flights of stairs. Write an integer to represent this situation
Zero means ????
Answer: 16
Step-by-step explanation:
Solve. −1 − 10x < −1
The solution to the inequality is x > 0
What is Inequality?Inequality in mathematics differentiate two values, if one is less than, greater than, or not equal to another value
Evaluate the equation by letting the unknow to be on one side
−1 − 10x < −1
-10x < -1+1
Add +1 to both sides
= -1-10x+1 < -1+1
= -10x < 0
Divide both sides by -10 same factor and flip the relation because of negative factor
= -10x /-10 > 0/-10
= x > 0
Therefore the solution to the inequality is x>0
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I need help please!
Answer:
All answers other than {7, 11, 15, 19}
Step-by-step explanation:
If we have a Set A, it is a subset of Set B if every element in A is also in B. Set A is a proper subset of Set B if it is a subset of Set B but not equal to Set B.
Using the above information, we know that the proper subset of {7, 11, 15, 19} cannot be itself, so we can rule out the second option.
All of the other options are sets where every element of that set is also an element of {7, 11, 15, 19}. The 3rd option is an empty set, which is a proper subset of any set other than itself, so it is a proper subset of {7, 11, 15, 19}.
Therefore, all of the options except for {7, 11, 15, 19} are valid.
wilma can mow a lawn in 40 minutes. vanessa can mow the same lawn in 120 minutes. how long does it take for both wilma and vanessa to mow the lawn if they are working together?
It takes 13 minutes 20 seconds for both wilma and vanessa to mow the lawn if they are working together.
A lawn can be mowed by Wilma in 40 minutes. In one hour, Vanessa can cut the same lawn in 120 minutes.
1/120 + 1/40 = 1/T
multiply by 40T;
3T = 40
T = 40/3
= 13 1/3 minutes
= 13 minutes 20 seconds
It takes 13 minutes 20 seconds for both wilma and vanessa to mow the lawn if they are working together.
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A board game is played by moving a counter S space forward at a time, where S is determined by the following rule: A fair six-sided dice is thrown once. S is half the number shown on the dice if that number is even; otherwise S is twice the number shown on the dice.
1. Write out a table showing the possible value of S and their possibilities.
2. Find the probability that, in a single turn, a player moves their counter forward more than 2 spaces.
The table showing the possible value of S and their possibilities is attached below,
The probability that a player moves their counter forward more than 2 spaces is 0.5.
The Probability is the ratio of favorable outcomes to total number of outcomes. The probability of an event must be less than 1 as the sum of all probabilities of events is equal to 1.
Here, If the number on the dice is even, S is half that number; if it is not even, S is double that amount. The table showing the possible value of S and their possibilities is attached below,
Now, finding the probability that a player moves their counter forward more than 2 spaces,
As seen from the table, the number of favorable outcomes where the player moves the counter more than 2 spaces is 3.
The total number of outcomes is 6. so, the probability will be,
Probability [tex]=\frac{3}{6}[/tex]
[tex]=\frac{1}{2} \\\\=0.5[/tex]
Hence, the probability that a player moves their counter forward more than 2 spaces is 0.5.
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please help!!
the function shown in the graph is f(x)= ???
Answer:
The answer is x^{3}-2x^{2}-5x+6
Step-by-step explanation:
This is because only a Cubic Function would have such a shape. That leaves x^3 functions from there just substitute points and check
A flower shop sells bouquets in a basic
arrangement and in a deluxe arrangement.
The table shows the sales of each type for
d days.
Arrangement
Basic
Deluxe
Cost ($)
17
25
Number Sold
8d-7
3d +6
Part A Write an expression that represents the difference between the number of basic
arrangements and deluxe arrangements sold.
Part B The store sells more basic arrangements than deluxe arrangements. After 7 days,
how much money will the store have earned on the number of basic arrangements that
exceeds the number of deluxe arrangements? Explain how you found your answer.
Part A: The formula 5d-13 indicates the distinction between the quantity of basic arrangements and deluxe arrangements sold.
Part B: The difference between the money the store made from basic arrangements and deluxe arrangements is $158.
What does an expression mean?An expression, also known as a mathematical expression, in mathematics is a finite combination of symbols that are well-formed in accordance with principles that depend on the context. Mathematical symbols can be used to represent variables, operations, functions, brackets, punctuation, grouping, and integers (constants) to help with logical grammar and operation ordering.
Part A: (8d-7)-(3d+6)
=8d-7-3d-6
=5d-13
Part B: For 7 days, d=7
Cost No. of sold
Basic 17 8(7)-7=49
Deluxe 25 3(7)+6=27
Therefore, Basic=17*49=$833
Deluxe=25*27=$675
Difference=833-675=158
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what is the answer to this question?
3 5/6+ (-1 1/6)=
g the center for medicare services reported that there were 295,000 reported appeals for hospitalization and other medicare part a services. for this group, 40% of the first round appeals were successful. suppose ten first round appeals were just received. the results follow a binomial distribution. what is the probability of getting more than two heads? enter answer to four decimal places.
The probability that of getting more than two heads is 0.9537.
Describe the binomial probability?There are just two options for each appeal: either it has been accepted or it wasn't. A binomial probability is employed to answer this question since the chances that one appeal will be permitted is independent of the possibility that any other appeals will be granted.The probability of precisely x successes per n repeated trials is known as a binomial probability, and X has only two possible outcomes.
P(X = x) = Cn,ₓ.pˣ(1 - p)ⁿ⁻ˣ ...eq 1
Where Cn,ₓ represents the number of distinct combinations of x items drawn from a group of n elements, as determined by the formula below.
Cn,ₓ = n!/x!(n - x)!
Where p is the likelihood that anything will happen.
10 appeals are necessary; n = 10.
Because 40% of appeals are successful; p = 0.4.
For the probability of getting at least two heads.
P(X ≥ 2) = 1 - P(X < 1)
P(X < 2) = P(X = 0) + P(X = 1)
Put the values in eq 1 and get the values for X.
P(X < 2) = 0.006 + 0.0403 = 0.0463
Now,
P(X ≥ 2) = 1 - 0.0463
P(X ≥ 2) = 0.9537
Thus, the probability that of getting more than two heads is 0.9537.
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an environmental agency is analyzing soil samples from 50 farms for lead contamination. eight of the farms have dangerously high levels of lead. ten farms are randomly selected from the sample. using technology, how many ways could two contaminated farms and eight noncontaminated farms be chosen?
Number of ways , two contaminated and 8 non- contaminated farms be choosen is 3,304,845,180.
Permutation and Combination
Combination is a mathematical way to arranging the set of values randomly.
ⁿCᵣ = n! / r! (n-r)!
we have given that ,
total number of farms for lead contamination = 50
Number of farms have dangerously high level of lead = 8
so, number of non- containmated farms ( no high level of lead ) = 50-8 = 42
We have to find the number of ways to choose two contaminated farms and eight non- contaminated farms. Two containmated farms are selected from 8 containated farms and 8 non- contaminated farms are selected from 42 farms .
Number of ways for selecting two containmated farms = ⁸C₂ = 8!/2!×6! = 8×7/2 = 28
Number of ways for selecting eight non-containmated farms from 42 farms = ⁴²C₈
= 42! / 8! 34! = 42×41×---×35/8×7×----×1
= 118013185
The total number of ways to obtain 2 containmated farms and 8 non- contaminated farms in 10 farms selected is then product of number of ways to select the 2 containmated farms and number of ways to select 8 non-containmated farms .
= 118030185× 28 = 3,304,845,180
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12. 15-2x) ≤ 11 What is the solution set to the inequality above?
its 4 cause i have done this
First, we isolate the variable on one side of the inequality by subtracting 15 from both sides:
15 - 2x - 15 ≤ 11 - 15
Simplifying the left side, we get:
-2x ≤ -4
Next, we divide both sides by -2. Since we are dividing by a negative number, we need to flip the inequality sign:
-2x/-2 ≥ -4/-2
Simplifying, we get:
x ≥ 2
Therefore, the solution to the inequality 15-2x ≤ 11 is x ≥ 2.
add me cuties
Solve 15+ax/5= 10 for x.assume that a=0
The solution for x in the expression given as 15 + ax/5 = 10 is x = -25/a
How to determine the solution to the variable x in the expression?From the question, the algebraic expression is given as
15 + ax/5 = 10
There is a constant to add to or subtract from the expression
So, the we subtract 15 from both sides
- 15 + 15 + ax/5 = 10 - 15
Evaluate
ax/5 = -5
Multiply both sides of the equation by 5
This gives
5 * ax/5 = -5 * 5
Evaluate the products
So, we have the following equation
ax = -25
Multiply both sides of the equation by 1/a
This gives
1/a * ax = -25 * 1/a
Evaluate the products in the above expression
x = -25/a
Hence, the solution is x = -25/a
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Isabel got a prepaid debit card with $20 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 7
cents per yard. If after that purchase there was $17.13 left on the card, how many yards of ribbon did Isabel buy?
The number of yards of ribbon Isabel bought is 41 yards.
It is given in the question that:-
Money in prepaid debit card = $ 20
Price of ribbon = 7 cents per yard
Money left on the card after buying the ribbon = $ 17.13
We have to find the number of cards of ribbon Isabel bought.
Money used in buying the ribbon = 20 - 17.13 = $ 2.87
We know that,
$ 1 = 100 cents
Hence, according to the data given in the question, we can write,
$ 2.87 = 287 cents
Yards of ribbon bought = 287/7 = 41 yards.
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Replace the star astrict (*) with a digit that allows you to reduce the fraction. If there are two * in the same fraction, replace them with the same digit. Find all possible values of * in each fraction. This is the one that I got stumped in...
12*/23* This is a fraction. Fill it in. Remember, you have to fill it in, so it can get reduced.
Please answer by 3:00PM Pacific time Sunday november 6th 2022
The star asterisk in the fraction 12*/23* is being replaced by all the possible values as outlined
1 to be 11/21
2 to be 61/116
4 to be 62/117
5 to be 25/47
6 to be 63/118
8 to be 64/119
0 to be 12/23
What are fractions?In mathematics, a fraction is represented by a number that identifies a portion of a whole. A fraction is a chunk or section taken from a whole, which can be any number, and can represent any amount.
The fractions with different numerators and denominators when compared with another fraction but the same value with the fraction are said to be equivalent fractions.
The asterisk value is replaced with digit in each case, and the fraction formed is reduced to their equivalent forms as below
12*/23* * replaced by 1 and reduced to be 11/21
12*/23* * replaced by 2 and reduced to be 61/116
12*/23* * replaced by 4 and reduced to be 62/117
12*/23* * replaced by 5 and reduced to be 25/47
12*/23* * replaced by 6 and reduced to be 63/118
12*/23* * replaced by 8 and reduced to be 64/119
12*/23* * replaced by 0 and reduced to be 12/23
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Write a linear function f with f(-10) = 4.5 and f(-2)=4.5.
Answer:
plsssssssssssssssssssssssssssssssssss
Solve the equation:
3/2=4x
x= ____________
Answer:
x = [tex]\frac{3}{8}[/tex]
Step-by-step explanation:
[tex]\frac{3}{2}[/tex] = 4x ( multiply both sides by 2 to clear the fraction )
3 = 8x ( divide both sides by 8 )
[tex]\frac{3}{8}[/tex] = x
can you help me in graph
i came back home now....
victoria deposited $5000 into a savings account that earns an annual simple interest rate of 0.3%. To the nearest tenth of a year, how long will it take for the account to reach $5500?
It will take 33.33 years for the account to reach $5500
What is simple interest?
Simple interest is defined as the direct crediting of cash flows related to an investment or deposit.
We know,
Victoria deposited into a savings account $5000
Annual simple interest rate of 0.3%.
Formula of Simple Interest
A = P(1 + rt)
5500 = 5000(1 + 0.003t)
5500 = 5000 + 15t
15t = 500
[tex]t = \frac{500}{15} = 33.33[/tex]
It will take 33.33 years for the account to reach $5500
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Can someone help me with this please?
The volume of the rectangular prism is the 75 ft cube.
How to find the volume of a prism?The prism below is a rectangular prism.
A rectangular prism is a three-dimensional shape, having six faces, where all the faces (top, bottom, and lateral faces) of the prism are rectangles such that all the pairs of the opposite faces are congruent.
The volume of a rectangular prism can be express as follows:
Volume of a rectangular prism = base area × height
Therefore,
base area of the prism = 25 ft²
height of the prism = 3 ft.
Hence,
Volume of the rectangular prism = 25 × 3
Volume of the rectangular prism = 75 ft³
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Adam's Bikes rents bikes for $19 plus $8 per hour. Nicole paid
$67 to rent a bike. For how many hours did she rent the bike?
Answer:
6 hours.
Step-by-step explanation:
Subtract initial fee from total. (67 - 19 = 48).
Divide by the hourly rate. (48 / 8 = 6).
The bike was rented for 6 hours.
18. a rectangular page is to contain 42 square inches of printable area. the margins at the top and bottom of the page are each 1 inch, one side margin is 1 inch, and the other side margin is . what should the dimensions of the page be so that the least amount of paper is used?
The page is in landscape mode with a width : height is 3: 2
Given that,
The printable area is should be 42 square inches on a rectangular page. The margins at the top and bottom of the page are each one inch, while the margins on one side are one inch and two inches, respectively.
x = length of the horizontal side of the printable area
y = length of the vertical side of the printable area
XY = 42 inch²
y = 42/x
page height = y + 1 + 1
page width = x + 1 + 2
A = area of an entire sheet of paper
= (x+3)(y+2)
= (x+3)(42/x+2)
= x(42/x+2)+3(42/x+2)
= 42+2x+126/x+6
A = 2x+126/x+48
Extremes occur when A' = 0:
A' = 0 = 2 – 126/x²
1 = 63/x²
x² = 9*7
x = 3√(7), x has to be positive
y = 42/x = 42/(3√(7)) = 14√(7)/7 = 2√(7)
What should the dimensions of the page be so that the least amount of paper is used?
page width = x + 3 = 3√(7) + 3 = 3(√(7) + 1)
page height = y + 2 = 2√(7) + 2 = 2(√(7) + 1)
So, the page is in landscape mode with width: height is 3: 2.
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Help Help Pls Begging Brainliest!!!!!!!!!!!!!!!!
Our school flag is a rectangle. We are changing to a new rectangular flag design. The length of the new flag is 20% greater than the length of the old flag, and the width of the new flag is 10% less than the width of the old flag, The old school flag is 25 square feet. What is the area of the new flag?
Answer:
27 square feet-------------------------------
Let the sides of the old rectangle are l and w.
Its area isA = lw = 25New flag has dimensionsLength is 20% greater = 1.2lWidth is 10% less = 0.9wArea of new flagA = 1.2l × 0.9w = 1.08 lwA = 1.08×25 = 27Answer: Hence the answer is 27 square feet.
Please look at the images for more details.
What is the remainder when g(x)=2x-3 is divided by
2x^3-9x² + x +q
Answer:9x>6=76
Step-by-step explanation:9x>6=76
Look at the triangles. What information is needed to prove that △ABC∼△DEF?
Options are listed at the bottom
Looking at the triangles, the information needed to prove that ABC∼△DEF is AC = 10
What are similar triangles?This is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent
Hence assuming the corresponding angles of the triangle are congruent then the side should be in proportions
Examining the figure shows that pair of equivalent sides are
AB and DE, BC and FE, then AC and DF
The solution is worked out using sides BC and FE, then AC and DF
BC / AC = FE / DF
8 / AC = 16 / 20
reducing the fraction 16/20 gives
8 / AC = 8 / 10
hence AC = 10
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A palindrome is a word or number that is the same when read forwards or backwards. For example, DAD is a palindrome, and so is
RACECAR. 484 is a palindrome number, and so is 9229.
What is the sum of a three digit palindrome number that ends in 71 and a four digit palindrome number that ends in 83?
Answer:
4054
Explanation:
171 is the three-digit palindrome that ends with 71
3883 is the four-digit palindrome that ends with 83
171 + 3883 = 4054
Identify the correct property of equality to solve each equation. 3 x = 27 x 6 = 5
The correct property of equality to solve each equation. 3 + x = 27 and x + 6 = 5 is subtraction property of equality.
The property of equality defines an equivalence relationship between two variables. The subtraction property of equality refers to the property that two sides of the equation remain equal when the same number is subtracted from both sides of an equation. According to the subtraction property of equality, if two quantities a and b are equal, and if c is subtracted from both a and b, then the difference of a and c and the difference of b and c are equal. Hence, if a = b, a – c = b – c. Using the subtraction property of equality:
3 + x = 27
3 + x -3 = 27 - 3
x = 24
Similarly,
x + 6 – 6 = 5 – 6
x = -1
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Answer:
3+x=27
✔ subtraction property of equality with 3
x/6 = 5
✔ multiplication property of equality with 6
Step-by-step explanation: