What percent of 90 is 36
Diana invested $3000 in a savings account for 3 years. She earned $450 in interest over that time period. What interest rate did she earn? Use the formula I=Prt to find your answer, where I is interest, P is principal, r is rate and t is time. Enter your solution in decimal form rounded to the nearest hundredth. For example, if your solution is 12%, you would enter 0.12.
At noon the temperature was 12°. It rose 8° during the afternoon, then dropped 28°by midnight. What was the temperature by midnight?
The temperature by midnight will be 32°.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Temperature is the randomness of the molecules known as temperature.
At noon the temperature was 12°.
It rose 8° during the afternoon, then dropped 28°by midnight.
Then the temperature by midnight will be given as,
⇒ 12° - 8° + 28°
⇒ 32°
Thus, the temperature by midnight will be 32°.
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The distance between city hall and the post office is 6 1/2 miles . The library site is 1 1/4 closer to city hall than to post office
City hall to post office = 6 1/2 miles
City hall to library site = 1 1/4 miles
library site to post office = unknown. let it be x. 5 1/4 miles
1 1/4 miles + x = 6 1/2 miles
x = 6 1/2 miles - 1 1/4 miles
Find x.
1) convert the mixed fractions into fractions. 6 1/2 = 13/2 ; 1 1/4 = 5/4
x = 13/2 - 5/4
2) get the common denominator. 4 is twice as much as 2. multiply 13/2 by 2/2
13/2 * 2/2 = 26/4
3) Subtract the top numbers and put over the same denominator
x = 26/4 - 5/4 = (26-5) / 4 = 21 / 4
4) simplify the fraction
x = 21/4 = 5 1/4 miles from library site to post office.
Jordan is chopping wood for the winter. For 10 days in a row, he follows the same process: In the morning, he chops 20 pieces of wood, and in the evening, he chops an additional 30 pieces of wood On the 11th day, Jordan chops only 5 pieces of wood. Write a numerical expression with parentheses for the total number of pieces of wood Jordan chopped.
The numerical expression with parentheses for the total number of pieces of wood Jordan chopped is (20 + 30 ) 10 + 5.
What is a numerical expression with parentheses?In mathematics, parentheses are used to indicate a portion of an equation or expression that must be solved first before any further calculations may be made. The solution substitutes the expression in the more complex mathematical equation; the portion between the two parentheses is considered as one integer.
Given, As winter approaches, Jordan starts cutting wood. He uses the same procedure for ten days straight: He cuts 20 pieces of wood in the morning and another 30 pieces in the evening. Jordan cuts just 5 pieces of wood on the eleventh day. Hence,
Equation for 10 days = (20 + 30) * 10
Equation for 11 days = (20 + 30) * 10 + 5
Therefore, Jordan cut a total of 20 pieces of wood, which is expressed mathematically as (20 + 30) 10 + 5.
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Write the ratio 3:101 as a fraction, decimal, and percent
The sixth grade class is going to the local art museum.There are 46 students in the class.The total cost of the tickets for all the students is $379.50.What is the cost of one students ticket?
John’s teacher gave him the following system of equations and asked him to find the point of intersection.
5x + 7 = y
9x – 5= y
Select the ordered pair that represents the intersection of the lines represented by the two equation.
A.(3, –8)
B.(3, 22)
C.(5.5, 44.5)
D.(5.5, 34.5)
When z is divided by 8, the remainder is 5. What is the remainder when 4z is divided by 8?
The remainder when 4z is divided by 8 is 4
From the question, when z is divide by 8, the remainder is 5. But we do not know the quotient.
From the formula
[tex]\frac{Dividend}{Divisor}= Quotient + \frac{Remainder}{Divisor}[/tex]
Here, the dividend is z, divisor is 8, and the remainder is 5.
Let the quotient be x, then we can write that
[tex]\frac{z}{8} = x + \frac{5}{8}[/tex]
Now, to determine the remainder when 4z is divided by 8,
Multiply both sides of the equation by 4
[tex]4 \times\frac{z}{8} =4\times( x + \frac{5}{8})[/tex]
[tex]\frac{4z}{8} = 4x + \frac{20}{8}[/tex]
Then,
[tex]\frac{4z}{8} = 4x +2+ \frac{4}{8}[/tex] (NOTE: [tex]\frac{Remainder}{Divisor}[/tex]must be a proper fraction)
[tex]\frac{4z}{8} = (4x +2)+ \frac{4}{8}[/tex]
Compare this to the formula [tex]\frac{Dividend}{Divisor}= Quotient + \frac{Remainder}{Divisor}[/tex]
The remainder is 4
Hence, the remainder when 4z is divided by 8 is 4.
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Adam says that the number 4 has four factors. Explain why this statement is incorrect.
Answer:
It is incorrect,
Step-by-step explanation:
The factors of 4 are 1, 2, and 4. The number 4 has three factors.
Although 2 × 2 is 4, the factor 2 is only counted once.
Adam's claim that the number 4 has four factors is incorrect; the number 4 has only three factors: 1, 2, and 4.
Explanation:Adam's statement that the number 4 has four factors is incorrect. The factors of a number are the integers that can be multiplied together to result in the original number. The number 4 has three factors, not four. These factors are 1, 2, and 4 itself.
Here's why: The factor 1 is a universal factor because it can divide into any number without leaving a remainder. The number 2 is a factor of 4 because 2 x 2 equals 4. Finally, the number itself, 4 in this case, is always a factor because 4 x 1 equals 4. Listing out all the factors of 4, we would not find any number other than 1, 2, and 4 that can multiply together to produce 4.
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What is the explicit rule for this geometric sequence?
a1=23;an=9⋅an−1
an=9⋅(23)n
an=23⋅9n
an=9⋅(23)n−1
an=23⋅9n−1
The Information about Geometric sequence is:
[tex]a_{1}=23 , a_{n}=9\times a_{n-1}[/tex]
→nth term of sequence = 9× (n-1) th term
Also , Common Ratio of a Geometric Sequence =[tex]\frac{\text{Second term }}{\text{First term}}[/tex]
[tex]\frac{a_{n}}{a_{n-1}}= \text{Common ratio}}=9\\a_{n}= a_{1}\times r ^{n-1}\\\\a_{n}=23\times 9^{n-1}[/tex]
Option 4 : [tex]a_{n}= 23 \times 9^{n-1}[/tex] is true.
The sum of three consecutive odd numbers is 111. What is the smallest of the three numbers? (Use 8 steps to success)
The town of Lantana needs $14,000 for a new playground. Lantana elementary school raised $5,358, Lantana middle school raise $2834, Lantana high school raised $4,132.about how much more money do they need to raise choose the best estimate
Answer:
2k/2,000
Step-by-step explanation:
we know 1676 turns into 2k
one half of a number p is at least 100
so then P could be any number greater then or equal to 200,hope this helps,please vote me brainliest
The value of p can be 200 or more than 200.
What is Algebra?Algebra is a branch of mathematics that deals with symbols and the arithmetic operations across these symbols. These symbols do not have any fixed values and are called variables. In our real-life problems, we often see certain values that keep on changing. But there is a constant need to represent these changing values. Here in algebra, these values are often represented with symbols such as x, y, z, p, or q, and these symbols are called variables. Further, these symbols are manipulated through various arithmetic operations of addition, subtraction, multiplication, and division, with an objective to find the values.
given:
one half of a number is at least 100.
So,
let the number be x
1/2*x= 100
x= 100*2
x= 200
Hence, the value of p ≥ 200.
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The sketches below show cat's and Fred's driveways. If the perimeter of each others of their driveways is the same, what is the length and width of Cat's driveway?
Answer:
40,12
Step-by-step explanation:
u count how many x's u have.4(for the first square)
add up the regular numbers
so u should have4x+50
repeat for the second one
so u should have 4x+25=6x+20
solve
u get 2x=30 simplify
u get 15
now plug it in and there is ur answer
The value of length and width for Cat's driveway are 25 ft and 7.5 ft respectively.
What is a rectangle?A rectangle is a type of parallelogram having equal diagonals.
All the interior angles of a rectangle are equal to the right angle.
The diagonals of a rectangle do not bisect each other.
Given that,
The length and width of Cat's driveway are 25 ft and x ft respectively.
And, the length and width of Fred's driveways are 2x ft and x + 10 ft respectively.
The perimeter of a rectangle is given as,
2(l + b)
Substitute the values to obtain the perimeters as,
Perimeter of Cat's driveway = 2( x + 25) ft
And, perimeter of Fred's driveway = 2(2x + x + 10) ft.
As per the question,
2( x + 25) = 2(2x + x + 10)
=> ( x + 25) = (2x + x + 10)
=> x = 15/2
= 7.5
Hence, the length and width of Cat's driveway are 25 ft and 7.5 ft respectively.
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how would i create a real life example that can be modeled by the expression -2×4
Calista has 4 one-dollar bills, 2 five-dollar bills, and 3 ten-dollar bills in her wallet. If she randomly chooses two bills, what is the probability that both of them are five-dollar bills?
The probability that Calista randomly chooses two five-dollar bills from her wallet is 1/36.
To calculate the probability of Calista choosing two five-dollar bills from her wallet, we start by determining the total number of ways she can choose two bills from her wallet, regardless of their denomination. Calista has a total of 9 bills (4 ones, 2 fives, and 3 tens), so the total number of ways to choose two bills is calculated using the combination formula C(n, k) = n! / (k!(n-k)!), where n is the total number of items and k is the number of items to choose.
The total number of ways to choose 2 bills from 9 is C(9, 2) = 9! / (2!(9-2)!) = 36. Next, we need to find the number of ways to choose 2 five-dollar bills from the 2 she has, which is simply C(2, 2) = 2! / (2!(2-2)!) = 1. The probability that both bills are five-dollar bills is then the number of ways to choose 2 fives divided by the total number of ways to choose any 2 bills, or P(both fives) = 1 / 36.
My sister is 3 times as old as I am. Five years from now, she will be twice as old as I will be. How many years old is my sister now?
tony buy 3 packages of gum. each package has 5 packs of gum.each pack of gumhas 10 pieces in it how many pieces of gum are in all three packages
Tony has a total of 150 pieces of gum in three packages, calculated by multiplying the number of packages (3) by the number of packs per package (5) and the number of pieces per pack (10).
To calculate the number of pieces of gum Tony has in all three packages, we need to multiply the number of packages by the number of packs in each package, and then by the number of pieces in each pack. First, we have 3 packages and each package contains 5 packs of gum. So, the total number of packs in the three packages is:
3 packages * 5 packs per package = 15 packs of gumNext, each pack has 10 pieces of gum, so the total number of pieces of gum in all the packs is:
15 packs of gum * 10 pieces per pack = 150 pieces of gumTherefore, Tony has a total of 150 pieces of gum in the three packages.
if Donna tool 20 minutes to read 60 pages of a 288-pages graphic novel,how long did she take to read the whole novel ,assuming that she read it all at the same rate?
If a linear equation is written in form y=1/2x-2, which method could be used to graph the line represented by the equation?
The linear equation y=1/2x -2 can be graphed by first plotting the y-intercept, then using the slope to plot additional points.
Explanation:Such equations can be graphed using a few different methods. One common approach is plotting data pairs on a coordinate grid.
For the given equation y = 1/2x - 2, it is convenient to begin by identifying b, which is the y-intercept. In our case, b equals -2. This is the point where the line crosses the y-axis. Next we need to understand what the slope (1/2 in our equation) means: for every step we move to the right along the x-axis (in the positive direction), we move half a step up along the y-axis.
To graph the equation, you start at the y-intercept (0,-2) and use the slope to identify subsequent points. For instance, if x = 2, then y = 1/2*2 - 2 = -1. Repeat this process with different x-values to plot enough points, and then connect them to draw the line written by the equation.
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Write a situation from real life that can be represented as an ecuation: y = 1/20x. Don’t forget to describe what does each variable represent.
Can you help me please?
There are 10 marbles in a bag. How many green marbles are in the bag if the probability of picking a green one is 3/10?
What is the answer I need to know
Jenny has been saving her babysitting money for a class field trip to Washington, D.C. She wants to save $200.00 over three months. She saved $53.00 the first month and $67.00 the second month
Write equations: Two times the difference of a number and 4 is the same as 5 less than the number - A number plus 5 is the same as 3 minus 4 times the number - Two times a number minus 9 is equal to 3 minus 4 times the number
what does the expression 5n represent
What is a scale drawing and how do you solve it? ( You can use any example to represent how to solve a scale drawing) Thanks!
-nana-
Angle x measures 110 degrees. If angle x is rotated 60 degrees what is the measure of angle x
Traveling at 55 miles per hour, how many minutes, rounded to the nearest whole number, does it take to drive 310 miles from Boston to Syracuse?