Answer: -37
Step-by-step explanation:
Use order of operations
2(6-9)-31
2(-3)-31
-6-31
= -37
A huge 52-foot subway sandwich is cut into 7 pieces. There are five pieces one length, and the other two pieces are five feet longer. What is the length of the larger pieces?
Based on the length of the subway sandwich, the length of the larger pieces is 11 feet.
How long are the larger pieces?Assume that the length of the shorter pieces is x.
The length of the larger pieces is therefore 5 + x.
The relevant equation to find the length is:
52 = x + x + x + x +x + 5 + x + 5 + x
52 = 7x + 10
x = (52 - 10) / 7
= 6 foot
The length of the larger pieces is:
= 5 + x
= 5 + 6
= 11 foot
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3
43. Be Precise To amend the U.S. Constitution, 4
of the 50 states must approve the amendment.
If 35 states approve an amendment, will the
Constitution be amended?
45, In the voting for City Council Precinct 5, only of all e
To amend the U.S. Constitution, 4 of the 50 states must approve the amendment. The Constitution cannot be amended if 35 states approve an amendment.
What do you mean by the Constitution?Constitution is the basic principles and the laws of a nation, state, or social group that determine the powers and duties of the government and guarantee certain rights to the people in it.
We need to know if 35 out of 50 states is equal or greater than 3/4 if that is the case, the Constitution will be amended, & that is represented like this:
35/50 >= 3/4
that inequality is saying that 35 states out of 50 is equal or greater than 3/4, lets simplify and modify fractions to compare easily:
35/50 >= 3/4
7/10 >= 3/4
now we need to find the least common multiplier of 10 and 4 to take fractions to a common denominator and compare easy.
Lets multiply the numerator and denominator for a correct number to get the fractions to denominator common 20, the lcm:
7/10 >= 3/4
(2/2)(7/10) >= (5/5)(3/4)
2*7/2*10 >= 5*3/5*4
14/20 >= 15/20
we can see that inequality does not hold, so,
35/50 >= 3/4
does not hold either.
Therefore, the Constitution cannot be amended.
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please help!! work due tmrw and im stuck on the first half
Answer: 9. x=4 ST=11
10. x=17 UW=67
Step-by-step explanation:
9.
[tex]RS+ST=RT\\RS=6x+1\ \ \ \ \ ST=x+7\ \ \ \ RT=36\\Hence,\\6x+1+x+7=36\\7x+8=36\\7x+8-8=36-8\\7x=28\\[/tex]
Divide both parts of the equation by 7:
[tex]x=4\\ST=x+7\\ST=4+7\\ST=11[/tex]
10.
[tex]UV+VW=UW\\UV=19\ \ \ \ UW=4x-20\ \ \ \ UW=6x-35\\Hence,\\19+4x-20=6x-35\\4x-1=6x-35\\4x-1-4x=6x-35-4x\\-1=2x-35\\-1+35=2x-35+35\\34=2x[/tex]
Divide both parts of the equation by 2:
[tex]17=x\\UW=6x-36\\UW=6*17-35\\UW=102-35\\UW=67[/tex]
Write 7 1/2 as a decimal number.
Answer:
First, We convert it to an improper fraction
which in this case, is 15/2
Found by Multiplying the whole number (7) with the denominator (2) and adding it with the numerator (1)
After that Use the same denominator to get 15/2
and then we divide the new numerator (15) by the denominator (2_ to get our answer.
which is, 7.5.
All Done!
Answer:
7.5
Step-by-step explanation:
Turn into an improper fraction.
2/2 + 2/2 + 2/2 + 2/2 + 2/2 + 2/2 + 2/2 + 1/2 = 15/2
Divide 15 by two.
7.5
Identify the domain for the following function.
Answer:
( -∞, ∞ )
Step-by-step explanation:
Because the given function has arrows and reaches both up and out in both directions, this means that the domain of the function is All Real Numbers, or ( -∞, ∞ ). When the x-values of a function have no maximums and minimums, then the domain is All Real Numbers.
According to descartes's rule of sign, how many possible positive and negative roots are there for the equation 0=−4x6−3x5 2x2−4x 1?
There are three possible positive and one negative root for the equation.
What is a polynomial?A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
We have been given the equation as
⇒ -4x⁶ - 3x⁵ + 2x² - 4x + 1 = 0
Check the polynomial "as is" for positive zeros, the symbol changes three times. This means that you might either have one or three positive zeros. If they are imagined, they will depart in pairs.
So changes signs 3 times: possible positive roots 3 or 3-2=1
The polynomial must be rewritten as [tex]f(-x)[/tex] for negative zeroes, or
⇒ -4x⁶ + 3x⁵ + 2x² + 4x + 1
This polynomial changes signs just once, So There will have 1 negative zero.
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The question seems to be incomplete the correct question would be
According to Descartes's rule of sign, how many possible positive and negative roots are there for the equation
-4x⁶ - 3x⁵ + 2x² - 4x + 1 = 0
Delila is multiplying three negative numbers and determines that the solution will be negative. is she correct or incorrect?
Delila is correct as she multiplying three negative numbers and determines that the solution will be negative.
As given in the question,
Let the three negative numbers be -x , -y , and -z.
Delia is multiplying three negative numbers
Multiply First two numbers
(-x) (-y) = + x y as (-)(-) = +
Multiply by third numbers
(+x y) (-z) = -x y z as ( +)(-) = -
Therefore, Delila is correct as she multiplies three negative numbers and determines that the solution will be negative.
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Answer:
Yes, she is correct.
The Bells are adding a new room to their house. The room will be a cube with a volume of 4096 ft^3. They are going to put in hardwood floors, and the contractor charges $10 per square foot. How much will the hardwood floors cost?
could i get some help please <3 thank you in advance
|2x + 3) = - 5
3x-6) ≥-3
|2x + 5| ≤ - 7
Step-by-step explanation:
2x + 3 = -5
2x = -8
x = -4
3x - 6 ≥ -3
3x ≥ 3
x ≥ 1
|2x + 5| ≤ - 7
NO SOLUTION
Why?
since the absolute value is always positive, there is no way that it would be less than or equal to -7
the price for 15 boxes of pencils is $67. The price for 34 boxes is $143. by how much does the cost increase for each additonal box of pencils purchased?
Answer:
$0.3
Step-by-step explanation:
Cost of one box in a set,
→ 67/15
→ 4.47 = $4.5
Cost of one box in another set,
→ 143/34
→ 4.205 = $4.2
The cost increase for each extra box,
→ 4.5 - 4.2
→ $0.3
Hence, the answer is $0.3.
Solve the equation −108 = 6x for x.
Answer:
[tex] \sf \large \: x = −18[/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
−108 = 6x
Step 1: Flip the equation.
6x = −108
Step 2: Divide both sides by 6.
6x/6 = −108/6
x = −18
You rent an apartment that costs \$1100$1100 per month during the first year, but the rent is set to go up 9.5% per year. What would be the rent of the apartment during the 12th year of living in the apartment? Round to the nearest tenth (if necessary).
The rent of the apartment during the 12th year of living in the apartment is $2076.30
Geometric order is a geometric series or sequence. By multiplying the terms of a geometric series, we arrive to conclusions. A geometric sequence, to put it simply, progresses from one term to the next by multiplying (or dividing) each phrase by the same constant value or number.
A mathematics series is a sum of an infinite number of terms with the objective of maintaining a constant ratio between the progressing terms.
Given:
In the n-th year, the rent will be ...
an = a1·r^(n-1) . . . . . . . . . r is the year on year ratio: 1+rate of increase
an = 1100·(1.095^(n-1))
Then the rent in the 8th year is ...
a8 = 1100·(1.095^(8-1)) ≈ 2076.30
The rent in the 8th year would be $2076.30.
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MP Reason Inductively A student said you
can add the same number to both terms of
a ratio to find an equivalent ratio. Is the
student correct? Explain why or why not.
The student said you.can add the same number to both terms of a ratio to find an equivalent ratio. This is wrong.
How to explain the ratio?It should be noted that equivalent ratios are the ratios that are the same.
In this case, the student said you.can add the same number to both terms of a ratio to find an equivalent ratio. It should be noted that this is incorrect.
The proper thing is to multiply.
For example, 3/4 will be 3 × 2 / 4 × 2 = 6/8. This is the equivalent fraction.
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Answer:
yeah
Step-by-step explanation:
yup
Which is the order from least to greatest of the following: four thirds, 0.8, one fifth, thirty percent?
four thirds, 0.8, one fifth, thirty percent
thirty percent, four thirds, 0.8, one fifth
one fifth, four thirds, thirty percent, 0.8
one fifth, thirty percent, 0.8, four thirds
The order from least to greatest of the numbers will be D. one fifth, thirty percent, 0.8, four thirds.
How to calculate the value?It should be noted that 1/5 = 0.2
It should be noted that 30% = 0.3
It should be noted that 4/3 = 1.33
Therefore the order from least to greatest of the numbers will be one fifth, thirty percent, 0.8, four thirds
In conclusion, the correct option is D.
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solve tis question pls
find a proposition with three variable p, q and r that is true when at most one of the three variables is true, and false otherwise
The proposition with three variable p, q and r are as -
C = (p∧q∧¬r)∨(p∧¬q∧r)∨(¬p∧q∧r)
What is compound proposition?A proposition is defined as a statement that expresses an idea, suggestion, or plan. A proposition is the notion that death penalty is an effective way to reduce crime.
Now, as per the given question-
This compound proposition C employs the outer disjunction (∨), and it is true if and only if any one of finally three propositions is true, (p∧q∧¬r),(p∧¬q∧r),(¬p∧q∧r) is true.First, it is impossible for two or three of these propositions to be true at the same time. As an example, suppose (p∧q∧¬r) and (p∧¬q∧r) are both true, then ¬r is true (from the first conjunction) & r is true (from the second), resulting in a contradiction. All other possible options can be ruled out using the same logic.Because these propositions have become mutually exclusive, C is true if and only if one of the three is true (and false otherwise).
This is only possible if two of p,q, & r are true while the third is false.For instance, (p∧q∧¬r) is true once p and q are true but r is false.
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On the first day of class, a statistics professor asked her students to report their grade point averages (gpas) as part of a class survey. for those students who knew their gpas, the histogram was:______.
On the first day of class, a statistics professor asked her students to report their grade point averages (gpas) as part of a class survey. for those students who knew their gpas, the histogram was Left skewed.
The meaning of grade point averages?
You can determine your grade point average (GPA) by dividing the total number of high school credits you have earned by the total of all of your course grades. The majority of secondary and universities record grades on a 4.0 scale.What exactly does a 4.0 GPA mean?
High schools commonly report grade point averages (GPAs) on a 4.0 scale. A 4.0, or the highest grade, is awarded. You can get your total GPA by averaging your grades from all of your classes. This scale is regularly used in the majority of institutions and many secondary schools.Learn more about grade point averages
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The Transitive Property states that if a=b and b=c, then a=c. Explain how you can use the Transitive Property to show that the expressions 0 + x + 13 and 13 + x are equivalent.
According to transitive property, 0 + x + 13 = x + 13 and also x + 13 is equal to 13 + x. Thus, we can equally say that; 0 + x + 13 is equal to 13 + x
How to Interpret Transitive Property?
We are told that the Transitive Property states that if a = b and b = c, then a = c.
Now, if a = 3 for example, then by the transitive property, it means that b and c must both also be 5.
Now, we want to apply the the transitive property to show that the expressions 0 + x + 13 and 13 + x are equivalent.
Now, the expression 0 + x + 13 is equal to x + 13.
Now, according to transitive property, 0 + x + 13 = x + 13 and also x + 13 is equal to 13 + x. Thus, we can equally say that;
0 + x + 13 is equal to 13 + x
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round 1344 to two decimal places
_____ is the process of drawing conclusions about unknown characteristics of a population from which data were taken.
Answer:
Statistical inference
Step-by-step explanation:
Find the L.S.A and T.S.A and volume of prism. whose sides are 3, 4 and 5 and height is 20cm
The lateral surface area of prism is 240cm2, total surface area is 250cm2 of prism , the volume of prism is 100cm2.
What is lateral surface of prism?
The lateral surface area of the right triangular prism (LSA) = ah + bh + ch (or) (a + b + c) h, where a, b and c are the bases of the rectangular faces and h is the common height or the total height of the prism. Also, (a + b + c) is the perimeter of the base (triangle).
What is total surface area of prism?
The total surface area of a right prism is T. S. A. = PH+2A, where P is the base perimeter, A is the base area, and H is the height of the prism.
What is volume of prism?
The formula for the volume of a prism is given by the product of the base and height of the prism. Thus, the volume of a prism can be given as V = B × H where V is the volume, B base area, and H height of the prism.
Given that,
The sides of prism are a=3cm, b= 4cm, c= 5cm
Also given that the height of the prism is h=20cm.
The lateral surface area of prism (LSA) = ah + bh + ch
Lateral surface area of prism = (3)(20)+(4)(20) +(5)(20)
Lateral surface area of prism = 60 + 80 + 100
Lateral surface area of prism = 240 cm2
The Total surface area of prism (TSA) = ph+2a
Total surface area = (LSA) + area of 2 bases
Total surface area = 240 + 2(5)
Total surface area = 250cm2
The volume of prism = base x height
Volume of prism = 5 x 20
Volume of prism = 100cm2.
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A firm has sales of $4690, costs of $2490, interest paid of $164, and depreciation of $463. the tax rate is 30 percent. what is the cash coverage ratio?
13.41% is the cash coverage ratio.
What do we mean by cash coverage ratio?The cash coverage ratio is a calculation that assesses a company's ability to pay off its liabilities with cash that it already has. It is a method of determining a company's liquidity. Only cash and cash equivalents are included in the cash coverage ratio. It excludes things like accounts receivable and inventory.To find the cash coverage ratio:
The cash coverage ratio is calculated as follows:
But first, the EBIDTA Is:
EBIDTA = Revenue - Cost= 4,690 - 2,490= 2,200The Cash Coverage Ratio is now:
= (EBIDTA) ÷ Interest= 2,200 ÷ 164= 13.41Therefore, 13.41% is the cash coverage ratio.
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Approximately, when did all the continents combine into the pangaean supercontinent?
a) 110ma
b) 420ma
c) 240ma
d) 650ma
Answer:
C) 240ma
Step-by-step explanation:
FIND THE TERMS AND SUM OF TERMS:
Answer:
The terms are 2, 6 and 12
The sum is 20
Step-by-step explanation:
n n + 1 n(n+1)
-- ------- ---------
1 2 1 x 2 = 2
2 3 2 x 3 = 6
3 4 3 x 4 = 12
The terms are 2, 6 and 12
The sum is 2 + 6 + 12 = 20
I need someone to fill in the blanks and and answer the other questions.
1) This is an arithmetic sequence and the complete sequence is;
5, 10, 15, 0, 25, 30, 35,....
2)This is a geometric sequence and the complete sequence is given as;
20, 10, 5, 2.5, 1.25, .....
3) This is an arithmetic sequence and the complete sequence is given as; 2, 5, 8, 11, 14, 17, .....
4) This is an arithmetic sequence and the complete sequence is given as; 30, 24, 18, 12, 6,.....
How to find the sequence terms?1) The sequence is given as;
5, 10, 15, ___, 25, 30, _____
This is an arithmetic sequence with the formula;
a_n = 5 + (n - 1)d
In this case, the common difference is;
d = 10 - 5 = 5
The complete sequence is;
5, 10, 15, 0, 25, 30, 35,....
2)The sequence is given as;
20, 10, ___, 2.5, _____, .....
This is an geometric sequence with the formula;
a_n = 20r^(n - 1)
In this case, the common ratio is;
r = 10/20 = 1/2
The complete sequence is given as;
20, 10, 5, 2.5, 1.25, .....
3)The sequence is given as;
2, 5, 8, ___, 14, _____, .....
This is an arithmetic sequence with the formula;
a_n = 2(n - 1)d
In this case, the common difference is;
d = 5 - 2 = 3
The complete sequence is given as;
2, 5, 8, 11, 14, 17, .....
4) The sequence is given as;
30, 24, ___, 12, 6,.....
This is an arithmetic sequence with the formula;
a_n = 30(n - 1)d
In this case, the common difference is;
d = 24 - 30 = -6
The complete sequence is given as;
30, 24, 18, 12, 6,.....
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Please help me I’m very confused!!
first off let's keep in mind that an absolute value is really a ± equation in disguise, so |5x -4| can pretty much be rewritten as ±(5x - 4), so is a dual equation, let's solve both for "x".
[tex]|5x-4|\leqslant 3x\implies \pm(5x-4)\leqslant 3x \\\\[-0.35em] ~\dotfill\\\\ +(5x-4)\leqslant 3x\implies 5x-4\leqslant 3x\implies 2x-4\leqslant 0\implies 2x\leqslant 4 \\\\\\ x\leqslant \cfrac{4}{2}\implies {\LARGE \begin{array}{llll} x\leqslant 2 \end{array}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]-(5x-4)\leqslant 3x\implies (5x-4)\stackrel{\stackrel{notice}{\downarrow }}{\geqslant} -3x\implies 8x-4\geqslant 0 \\\\\\ 8x\geqslant 4\implies x\geqslant \cfrac{4}{8}\implies {\LARGE \begin{array}{llll} x\geqslant \cfrac{1}{2} \end{array}}[/tex]
Check the picture below.
25. Communicate and Justify Ramon says that 4 1 can be rewritten as Jamal says that 12 124* it cannot because both the numerator and denominator need to be raised to the power of 4. Who is correct? Explain. Thinking For what values of x is
Answer:
Step-by-step explanation:
Ramon is correct to write the expression (1/12)⁴ that can be rewritten as 1/12⁴.
Use the concept of exponent defined as:
Exponentiation is the process of expressing huge numbers in terms of powers. That is, exponent refers to the number of times a number has been multiplied by itself.
Given that,
Ramon says that (1/12)⁴ can be rewritten as 1/12⁴.
And, Jamal says that it cannot.
Here, the expression is,
(1/12)⁴
Apply the rule of exponent as
1⁴ / 12⁴
1 / 12⁴
Hence, Ramon is correct to write the expression.
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Baton Twirling
Jill is a drum major for the Altadena High School marching band.For the finale of the halftime performance, Jill tosses her baton in the air so that it reaches a maximum height of 22 feet. This gives her 2 seconds to twirl around twice and catch the baton when it comes back down.
•independent quantity:
•Dependent quantity:
The independent quantity is the height of the baton and the dependent quantity is the seconds she has to twirl.
What is an independent and dependent variable?The independent variable is the variable that the person carrying out an activity can change or manipulate. It is the independent quantity that determines the dependent quantity.
The dependent variable is the variable that is being measured in an experiment. The dependent quantity is usually affected by the independent quantity.
In this question, the height of the baton determines the time she has to twirl. The higher the baton goes, the longer the time she has to twirl. This makes the height of the baton the independent quantity and the time she has to twirl the dependent quantity.
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The total number of data items with a value less than the upper limit for the class is given by the _____ distribution.
The cumulative frequency distribution indicates the total number of data items with values below the class's upper limit.
By cumulative frequency, what do you mean?Cumulative frequency analysis examines how frequently values of a phenomena occur that are less frequent than a reference value. The phenomenon could depend on time or place. Another name for cumulative frequency is frequency of non-exceedance. Each frequency from a frequency distribution table is added to the total of its predecessors to determine the cumulative frequency. Since all frequencies will have previously been added to the prior total, the final result will always be equal to the sum of all observations. The quantity of an element in a set is referred to as the element's frequency. The accumulation of all earlier frequencies up to the present time is another definition for cumulative frequency.
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79 tens X 27 tens with rounding