The inequality that represents the temperatures at which the gas in the truck will remain in liquid form is; -40°F < x < 140°F
How to solve Inequality Word Problems?
A) x is the temperature, and the temperature can't go down to -40°F and so x is greater than -40°F so that the gas doesn't freeze. Finally, x can't go higher than 140°F because the gas will evaporate. Thus, the inequality that represents the temperatures at which the gas in the truck will remain in liquid form is;
-40°F < x < 140°F
B) Open interval of the graph would mean that the interval is from -40°F to < 140°F. However, not equal to means that the gas in the truck can't stay liquid and as such means the coordinate is (-40°F, 140°F)
C) The gas will freeze because it has been said in the question the gas freezes at -40°F and as such if it goes -49°F, then it will freeze because the gas is supposed to stay higher than -40°F.
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1. Find the perimeter of the rectangle.
4in w 7in L
O11 in.
O22 in.
O28 in.
O56 in.
Answer:
(b) 22 in
Step-by-step explanation:
You want the perimeter of a rectangle with side lengths 4 inches and 7 inches.
PerimeterThe perimeter of a rectangle is the sum of the lengths of its sides. Your rectangle has two sides that are 4 inches, and two sides that are 7 inches. The perimeter is the sum of these lengths:
P = 4 in + 4 in + 7 in + 7 in
P = 22 in
The perimeter of the rectangle is 22 inches.
__
Additional comment
We can save a math operation by recognizing the sum can be arranged to ...
P = (4 in +7 in) +(4 in +7 in) = 2(4 in +7 in)
This is evaluated using one sum and one product, rather than the three sums we need if we simply add the lengths of the four sides.
This is why the usual formula for the perimeter of a rectangle is ...
P = 2(L +W)
Which expression is equivalent to 9(4+2x)?
Find the greatest common factor of 60y^8, 40y^4, 20y^5 and 80y^5.
Answer:
20
Step-by-step explanation:
The common factors for 60,40,20,80 60 , 40 , 20 , 80 are 1,2,4,5,10,20 1 , 2 , 4 , 5 , 10 , 20 . The GCF for the numerical part is 20 .
solve for r.
4(r+15)+4r=300
Answer:
r=30
Step-by-step explanation:
first expand:
4r+60+4r=300
8r+60=300
8r=300-60
8r=240
r=30
hope this works:)
Which set of angle measures could be the measures of the interior angles of a triangle?
60°, 45°, and 70°
30°, 85°, and 25°
55°, 90°, and 35°
110", 15°, and 45°
Answer:
(c) 55°, 90°, and 35°
Step-by-step explanation:
Given lists of angle measures, you want to know which could be the interior angles of a triangle.
Angle sum theoremThe angle sum theorem tells you the sum of interior angles of a triangle is 180°. To find the angles that could be those of a triangle, check to see if their sum is 180°.
a) 60 +45 +70 = 175 ≠ 180
b) 30 +85 +25 = 140 ≠ 180
c) 55 +90 +35 = 180 . . . . . . . could form a triangle
d) 110 +15 +45 = 170 ≠ 180
The angle measures 55°, 90°, and 35° could be the interior angles of a triangle.
When a number is decreased by 10% of itself, the result is 27. What is the number? Write an equation to model the problem
Answer: [tex]x-0.1x=27[/tex]
Step-by-step explanation:
Let x be the number that gets decreased by 10% of itself.
x decreased by 10% of x is 27.
x is 100%, so 100%-10%=90%
So, 90% of x equals 27.
90% = 0.9
0.9x = 27
x = 30
How does a flow proof show logical steps in the proof of a conditional statement?
The way a flow proof shows logical steps in the proof of a conditional statement is; A flow proof organizes statements in logical order, starting with the given statements. Each statement has its reason written below it and arrows are used to indicate the order of the statements.
What is a Flow Proof?
A flow proof uses a diagram to show each statement leading to the conclusion. Arrows are drawn to represent the sequence of the proof. The layout of the diagram is not important, but the arrows should clearly show how one statement leads to the next. The explanation for each statement is written below the statement.
A flow proof organizes statements in logical order, starting with the given statements. Each statement has its reason written below it and arrows are used to indicate the order of the statements.
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How many boards 5 1/6 in. wide will it take to cover a floor 248in. wide?
The number of boards it would take to cover the floor is 48
Calculating amountFrom the question, we are to determine how many boards it would take to cover the floor
From the given information,
The width of the floor is 248 in.
and
The width of the board is 5 1/6 in.
Thus,
The number of boards it would take to cover the floor is
248 ÷ 5 1/6
= 248 ÷ 31/6
= 248 × 6/31
= 1488/31
= 48
Hence, the number of boards it would take to cover the floor is 48
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What value of a makes the equation an identity? 3a(x-4) = 8x-16
We can conclude that no value of 'a' will make the equation an identity.
What exactly are equations?In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal.3x + 5 = 14, for example, is an equation in which the expressions 3x + 5 and 14 are separated by a 'equal' sign.The equation is an identity if solving it results in a true statement such as 0 = 0.So, to get 0 = 0 to make the equation an identity, we have to get such a value of a that makes the LHS 8x - 16 which will be similar to RHS 8x - 16.
If we take a = 1 then the LHS will be less than the RHS as:
3(1)(x-4) = 8x-163x - 12 ≠ 8x-16If we take a = 2 then:
3(2)(x-4) = 8x-166x - 24 ≠ 8x-16If we take a = 3 then the LHS will be greater than the RHS as:
3(3)(x-4) = 8x-169x - 36 ≠ 8x-16So, we can conclude that no value of 'a' will make the equation an identity.
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square with a perimeter of 240 inches is dilated by a scale factor of 1.5. what is the area of the dilated image of the square?
the awnser: is 960 inches
Rory has 6 lbs ground turkey to make meatballs.he uses 5/8 lb
Determine if each conjecture is true or false. If false,
provide a counterexample.
The sum of any two consecutive prime numbers is also prime.
The product of two even numbersis always divisible by 4.
Answer:
3498
Step-by-step explanation:
What is 8112 divided by 13
Answer:624
Step-by-step explanation:
Answer:
624
Step-by-step explanation:
Subtract.
3−11−(−6)
whats the answer im confused
Answer:
-2
Step-by-step explanation:
3−11−(−6)=
3-11= -8
-8-(-6)
the two minus become plus so
-8+6= -2
Write down the next two terms in these quadratic sequences:
9, 13, 19, 27, ___, ___
In the following expression, the 2 distributes to the 3 and to the 4:
(2) (3+4) = (2) (3) + (2) (4)
true or false
Answer:
True
Step-by-step explanation:
(2) (3+4) = (2) (3) + (2) (4)
(2) (3+4)=2(7)=14
(2) (3) + (2) (4)=6+8=14
14=14 √
If a fraction between 0 and 1 is multiplied by another fl fraction between 0 and 1, the product is greater than 1
Answer: False
Step-by-step explanation: If you multiply a fraction between 0 and 1 by another fraction between 0 and 1, the result would be smaller than 1.
For example, [tex]\frac{3}{5} * \frac{1}{2} = \frac{3}{10}[/tex]
You collect coins. One of your favorite coins is a silver-colored coin showing a man's portrait. The radius of the coin is 12 millimeters. What is the diameter of the coin? What is the circumference of the coin? What is the area of the coin?
The circumference is 150.72 millimeters and the area is 1808.64 square millimeters
What is the diameter of the coin?The radius of the coin is given as
r = 12 millimeters
The diameter of the coin is calculated as
Diameter = 2 * r
So, we have
Diameter = 2 * 12 millimeters
Evaluate
Diameter = 24 millimeters
What is the circumference of the coin?The circumference of the coin is calculated as
C = 2πr
So, we have
C = 2 * 3.14 * 24
Evaluate
C = 150.72 millimeters
What is the area of the coin?The area of the coin is calculated as
A = πr²
So, we have
A = 3.14 * 24²
Evaluate
A = 1808.64 square millimeters
Hence, the circumference is 150.72 millimeters and the area is 1808.64 square millimeters
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Determine whether the statement is True or False.
Answer:
1. True
2. True
3. True
4. False
5. False
6. False
7. True
8. False
9. True
10. False
Step-by-step explanation:
∈ means "is an element of"
⊂ means "only contains some, but not all, the elements of"
⊆ means "only contains some, possibly all, the elements of"
If one of those symbols is strickenthrough, it simply means the opposite, e.g. "it's not true that it's an element of" or "it's not true that it only contains some, (...) the elements of"
∅ is an empty set
{ something } is a set containing everything inside the curly brackets. Thus, { } is an empty set.
Let's rewrite the statements:
1. 5 is an element of {1, 3, 5, 7, 9}
TRUE
2. 4 is not an element of {1, 3, 9}
TRUE
3. {5, 6, 7} only contains some, possibly all, the elements of {5, 6, 7}
TRUE
4. {1, 2, 3} only contains some, but not all, the elements of {1, 2, 3}
FALSE (it contains all)
5. it's not true that {9} only contains some, possibly all, the elements of {9, 10}
FALSE (it does only contain elements of {9, 10} )
6. it's not true that 8 is an element of {2,4,6,8,10}
FALSE (because it is an element of that set)
7. empty set only contains some, possibly all, the elements of empty set
TRUE (it contains only elements of empty set - all of them, namely none)
8. 0 is an element of empty set
FALSE (empty set is empty, so it cannot contain 0)
9. {13, 11} only contains some, but not all, the elements of {11, 12, 13}
TRUE (order is irrelevant)
10. {7, 8} only contains some, possibly all, the elements of {8}
FALSE (7 is not an element of {8} )
geometry help me thx
Answer:
AB=5
Step-by-step explanation:
the steps are on top
evaluate 7 to the negative 2nd power
Answer:
exact form= 1/49
and the decimal form= 0.02040816
Step-by-step explanation:
Write the prime factorization of 16. Use exponents when appropriate and order the factors from least to greatest
Answer: 2⁴
Step-by-step explanation:
The factors of 16 are 1, 2, 4, 8, and 16. The prime factors of 16 as a product can be written as 2 × 2 × 2 x 2 or 2^4, where 2 is the prime number.
1. In a conditional statement, where do you find the hypothesis?
Answer: A conditional statement (also called an if-then statement) is a statement with a hypothesis followed by a conclusion. The hypothesis is the first, or “if,” part of a conditional statement. The conclusion is the second, or “then,” part of a conditional statement.
Step-by-step explanation:
convert gallons to cups
Answer:
There are 16 cups in a gallon.
Step-by-step explanation:
Not sure what you're asking but there are 16 cups in a gallon.
An animal shelter needs to buy 6 pounds of cat food for every cat they have. Complete the following table of cats to pounds of cat food. Cats. Lbs of cat food
0
8
90
96
102
30
Answer:
An animal shelter needs to buy 6 pounds of cat food for every cat they have. Complete the following table of cats to pounds of cat food. Cats. Lbs of cat food
0
Step-by-step explanation:
Answer:
an animal shelter needs to buy 6 pound of cat food for every cat they have . The following table of cat to pounds of cat food
Step-by-step explanation:
There are 3 triangles and 15 circles. What is the simplest ratio of triangles to circles?
Answer:
1/5, 1:5, 1 to 5
Step-by-step explanation:
The ratio is 3/15, but simplest form is 1/5.
ill give lots of points if you help
The simplified fraction is -2 1/4
FractionsFrom the question, we are to evaluate the given fractions
The given fraction is
[tex]-1\frac{4}{5} + (-\frac{1}{4}) + (- \frac{1}{5} )[/tex]
Evaluating the fraction
[tex]-1\frac{4}{5} + (-\frac{1}{4}) + (- \frac{1}{5} )[/tex]
First, convert the mixed fraction to an improper fraction
[tex]-\frac{9}{5} + (-\frac{1}{4}) + (- \frac{1}{5} )[/tex]
Now, clear the parentheses
[tex]-\frac{9}{5} -\frac{1}{4}- \frac{1}{5}[/tex]
Find the LCM of the denominators
The LCM is 20
Thus,
[tex]\frac{-36 - 5 - 4}{20}[/tex]
= [tex]\frac{-45}{20}[/tex]
= [tex]-2\frac{5}{20}[/tex]
= [tex]-2\frac{1}{4}[/tex]
Hence, the simplified fraction is - 2 1/4
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[[(8-3)×2]+[(5×6)-5])÷5
Answer:
7
Step-by-step explanation:
=[(5)×2]+[(30)-5]÷5
=(10)+(25)÷5
=35÷5
=7
The graph to the right uses cylinders to
represent barrels of oil consumed by two
countries. Does the graph distort the data or
does it depict the data fairly? Why or why not?
If the graph distorts the data, construct a
graph that depicts the data fairly.
Does the graph distort the data? Why? Or Why not?
A. Yes, because 3D objects always distort the data in graphs.
B. Yes, because the graph incorrectly uses objects of volume to represent the data.
C. No, because the graph is technically correct.
D. No, because the proportions are accurate.
Answer:
C. No, because the graph is technically correct.
Step-by-step explanation:
19.8 is greater than 5.5 by a lot, so 19.8 will look much bigger than 5.5.
PLEASE HELP
Solve the following system algebraically. y = x^2 + 11 and y = –12x
Answer:
x^2+12x=-11
Step-by-step explanation:
Answer:
(-1, 12) and (-11, 132)
Step-by-step explanation: