A temperature colder than -7.2°F can be -8°F. The inequality representing this is -8 < -7.2. Drawing this on a number line shows -8 is to the left of -7.2, hence colder.
Explanation:A temperature that is colder than -7.2°F could be -8°F. The inequality that relates -8°F and -7.2°F is -8 < -7.2, because on a number line, numbers to the left are lesser than those to the right. Therefore, -8°F, being to the left/less than -7.2°F on the horizontal number line, is colder.
The Fahrenheit and Celsius temperature scales don't have absolute lowest temperatures like the Kelvin scale. So, temperatures like -10°F or -20°F (for example) are possible and would be colder than -7.2°F.
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the formula for the perimeter of a rectangle is P=2l, + 2w, where l is the length and w is the width. A rectangle has a perimeter of 24 inches. Find it's dimensions if it's length is 3 inches greater than it's width.
The dimensions of the rectangle are 7.5 inches and 4.5 inches, or w = 4.5 inches and l = 7.5 inches if the perimeter of a rectangle is P=2l, + 2w.
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
The rectangle can be defined as the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.
P = 24 inches
l = 3 + w
P = 2l + 2w
24 = 2(3 + w) + 2w
24 = 6 + 2w + 2w
24 = 6 + 4w
24 - 6 = 4w
18 = 4w
w = 4.5 inches
l = 3 + 4.5 = 7.5 inches
Thus, the dimensions of the rectangle are 7.5 inches and 4.5 inches, or w = 4.5 inches and l = 7.5 inches if the perimeter of a rectangle is P=2l, + 2w.
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simplicity the expression (0.4^3)
Jeremy drew a polygon with four right angles and four sides with the same length. Name all the polygons that he could have drawn
How many places to the left did you move the decimal point to write 41,200 in scientific notation
How is the quotient of a number and 6 decreased by 10 is equal to 2
how can you quickly calculate 20 percent of any bill amount?
Answer:
There are many ways to do this calculation. Few are listed below.
1. Whenever we say percent, that means divided by hundred. And any number divided by 100 will result in putting a decimal to two places left. Like 20% will becomes [tex]\frac{20}{100}[/tex] = 0.20
And you can multiply the bill amount with 0.20 mentally.
2. You can also simply divide the total bill amount by 5, it will be equal to 20% of the total bill amount. Like if bill amount is $200.
[tex]\frac{200}{5}=40[/tex] and [tex]0.20\times200=40[/tex]. Both values are same.
A mother wants to invest $11,000.00 for her son's future education. She invests a portion of the money in a bank certificate of deposit (CD account) which earns 4% and the remainder in a savings bond that earns 7%. If the total interest earned after one year is $ 660.00, how much money was invested in the CD account?
The mother invested $5000 in the CD account and the remaining $6000 in a savings bond. This solution was arrived at by setting up a system of two equations, which we solved simultaneously.
Explanation:Let's denote the amount of money invested in the CD account as x and the amount in the savings bond as y. The total amount of money is $11000, so we can set up the first equation as: x + y = 11000.
Then, the mother earns interest from both accounts. The CD account earns 4%, that's 0.04x while the savings bond earns 7%, that's 0.07y. The total interest is stated to be $660, so we can have the second equation as: 0.04x + 0.07y = 660.
From the first equation, we can solve for y: y = 11000 - x and substitute it into the second equation which gives us: 0.04x + 0.07(11000 - x) = 660.
Solving for x, you should get approximately $5000. This means a balance of $6000 was invested in the bond (11000 - 5000). Therefore, the mother invested $5000 in the CD account.
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explain ehy the square root of 64 has a positive and a negative value.
you have scored 7,10,8 , and 9 on four quizzes . write and solve an equation to find the score you need on the fifth quiz so that your mean score is 8
To achieve a mean score of 8 after five quizzes, you would need to score 6 in your fifth quiz, assuming your scores in the first four quizzes were 7, 10, 8, and 9 respectively.
Explanation:Yes, these scores are associated with the subject of mathematics, particularly the branch of math known as statistics. This involves determining how to achieve a desired mean, which in this case is 8, given your previous quiz scores.
The mean score is determined by adding all your quiz scores together and dividing by the total number of quizzes. So for your first four quizzes, the total is 7 + 10 + 8 + 9 = 34. The mean so far is 34 ÷ 4 = 8.5 which is already above our targeted mean of 8.
To achieve a mean of 8 over 5 quizzes, the total of your scores would need to be 8 x 5 = 40. Therefore, the score you would need to get on your fifth quiz would be 40 (the desired total) - 34 (the current total) = 6.
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On a map of Tennessee, one inch represents 15 miles. If Chattanooga and Nashville are 11.3 inches apart on the map, how many miles apart are the cities?
Simplify using exponents: B12/B5
Answer: call 267 188 3800 today
Step-by-step explanation:
In the figure, GK (with an arrow pointing right) bisects angle FGH.
(L = angle)
if mL FGK = 3v - 4 AND mL KGH = 2v +7
a) 33
b) 58
c) 11
d) 29
Mr Grant needs 30 pieces of felt. He can buy them in packs of 10 or as single pieces. What are the different ways Mr Grant can buy felt?
The expression 625(1−x) gives the discounted price of a television, where x is the percent of the discount written in decimal form.
What does the 625 represent in the expression?
the original price of the television
the percent of the original price being paid
the discounted price of the television
the percent of discount
the original price of the television
is your answer.
Let
x-------> the percent of the discount written in decimal form.
y-------> the discounted price of the television
we know that
[tex]y=625(1-x)[/tex]
In the expression
[tex]625[/tex]-------> represent the original price of the television
y--------> the discounted price of the television
x-------> the percent of discount
therefore
the answer is the option
the original price of the television
Amy has set aside $150 a month for her cell phone bill. The cost for a monthly cell phone plan is a $65 access fee plus $20 per gigabyte of data used. Which expression represents the amount of money Amy has left from her monthly budget after she pays her cell phone bill?
The expression to represent the amount of money Amy has left from her monthly budget after paying her cell phone bill is $85 - $20x.
Explanation:To find the amount of money Amy has left from her monthly budget after paying her cell phone bill, we need to subtract the cell phone bill from her monthly budget. Amy has $150 a month and the cell phone bill consists of a $65 access fee plus $20 per gigabyte of data used.
Let's represent the amount of data used in gigabytes as 'x'. So, the expression to represent the amount of money Amy has left is:
$150 - ($65 + $20x)
This expression simplifies to:
$85 - $20x
So, the amount of money Amy has left from her monthly budget after paying her cell phone bill is $85 - $20x.
The expression that represents the amount of money Amy has left from her monthly budget after she pays her cell phone bill is $150 - ($65 + $20x).
Explanation:Amy has set aside $150 a month for her cell phone bill. The cost for a monthly cell phone plan is a $65 access fee plus $20 per gigabyte of data used. To calculate the amount of money Amy has left from her monthly budget after she pays her cell phone bill, we need to subtract the total cost of the cell phone plan from her budget. So, the expression that represents the amount of money Amy has left is:
$150 - ($65 + $20x)
Where x represents the number of gigabytes of data Amy has used.
Compare and contrast expressions equations and inequalities
the quotient of a number and -2
what is 9 + t/12 = -3
Dale finished a puzzle in 6 minutes. How many seconds is this?
Using algebraic equation to find the measures of the two angles described below Begin by letting X represent the degree measure of the angle supplement the measure of the angle is 17 times greater than its supplement what is the measure of the supplement what is the measure of the other angle
Consider the universal set R,R, define the interval A=[−7,1],A=[−7,1], interval B=(−1,5),B=(−1,5), and CC be the negative real numbers. Complete the following exercises in interval notation.
1. A∪B=A∪B=
2. A∩B∩C=A∩B∩C=
3. A∩(B∪C)=A∩(B∪C)=
4. A^c ∪ B^c∪ C^c=
5. (C−A)∪(B−C)=(C−A)∪(B−C)=
Final answer:
The question involves calculating various set operations in interval notation, including the union, intersection, and complements using intervals A, B, and set C (negative real numbers) within the universal set of real numbers R.
Explanation:
The student is working with set operations in interval notation, particularly focusing on the union, intersection, and complement relative to the set of real numbers R. Given intervals A=[-7,1], B=(-1,5), and set C being the negative real numbers, we need to perform various set operations.
A⋃B is the union of A and B, which is the set of all elements in either A or B.A∩B∩C is the intersection of A, B, and C, which represents all elements common to all three sets.A∩(B⋃C) represents the intersection of A with the union of B and C.A¹ ⋃ B¹ ⋃ C¹ is the union of the complements of A, B, and C relative to the universal set R.(C-A)⋃(B-C) represents the union of the set difference of C and A with the set difference of B and C.Which point below is not on the graph of p(x) = /36-x?
Answer:
(-35,1)
Step-by-step explanation:
The temperature dropped 2°F every hour for six hours what was the total number of degrees the temperature change in the six hours?
math question down below
Tim found a jacket that was 25% off. The original price was $45.00. What was the sale price?
if a = 42 and b = 2 then find ab
which decimal is least in value
0.511 0.57 0.453 0.582
Each night Ann and her family empty their pockets, purses, and wallets and place all of the pennies, nickels, dimes, and quarters in a large container. Ann helps her father count the money. If there are 145 pennies, 42 dimes, & 12 quarters, how much money did she count?
Question 4 options:
$8.65
$11.65
$46.45
$199.00
PLEASE HELP!! IM VERY STUCK.
Although she's only in middle school, Tameka loves to drive go-carts! Her favorite place to drive go-carts, Drivers Delight, has 3 circular tracks. Track 1 has a radius of 60 feet. Track 2 has a radius of 85 feet. Track 3 has a radius of 110 feet.
a. Compute the circumference of Track 1.
b. Compute the circumference of Track 2.
Answer:
Circumference of Track 1 is 377.14 feet and circumference of Track 2 is 534.29 feet.
Step-by-step explanation:
Consider the provided information.
Drivers Delight, has 3 circular tracks. Track 1 has a radius of 60 feet. Track 2 has a radius of 85 feet. Track 3 has a radius of 110 feet.
Part (A)
Compute the circumference of Track 1.
Track 1 has a radius of 60 feet.
The formula used to find the circumference of the circle is: [tex]2\pi r[/tex]
The circumference of Track 1 is:
[tex]2\pi r=2\times \frac{22}{7}\times 60[/tex]
[tex]2\pi r=377.14 [/tex]
Thus, circumference of Track 1 is 377.14 feet.
Part (B)
Compute the circumference of Track 2.
Track 2 has a radius of 85 feet.
The circumference of Track 2 is:
[tex]2\pi r=2\times \frac{22}{7}\times 85[/tex]
[tex]2\pi r=534.29 [/tex]
Thus, circumference of Track 2 is 534.29 feet.
One photoshop charges $0.36 per print. Another photoshop charges $2.52 plus $0.08 per print. Juan finds that the cost of printing his photos is the same at either shop. How many photos does Juan have to print?