Answer: x=28/3
Step-by-step explanation:
6/8=7/x
3/4=7/x
3x/4=7
3x=28
x=28/3
Answer: the answer is 9 or 9.333333
Determine whether the following argument is inductive or deductive:
"The last mayor was honest. The current mayor is honest. All mayors are honest."
Answer:
Inductive
Step-by-step explanation:
The given argument presented is an example of inductive reasoning.
What is inductive reasoning?Inductive reasoning entails drawing broad generalizations based on a small number of observations, and the conclusion is not necessarily guaranteed to be correct, but simply likely based on the data.
The argument presented is an example of inductive reasoning, because it is based on a specific observation and a generalization that goes beyond the available evidence.
While the previous and current mayors may be honest, based on this limited evidence, it is not necessarily true that all mayors are honest.
The argument makes the assumption that the honesty of these two persons is indicative of all mayors, which is a conclusion based on little evidence.
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what is the nth term of 1, 3, 9
Answer:
3ⁿ
Step-by-step explanation:
The nth term is:
3ⁿ
find the quotient 17 ÷ 6 8/10
The ratio of EQUATION the outcome is (17/6)/(8/10) = 3.5416667.
What in mathematics is a quotient?The quotient is the result of dividing two numbers by each other. As in the case of 8 4 = 2, when the division produced the number 2, the outcome is the quotient. The dividend is 8 and the divisor is 4.
based on the available facts;
Divide: 17/6 : 8/10
= 17/6· 10/8
= 17 · 10/6 · 8
= 170/48
= 85/ 24
= 85/24
When two fractions are divided, the first fraction is multiplied by the second fraction's reciprocal value. Finding the reciprocal of the second fraction is the first sub-step. For example, the reciprocal of 8/10 is 10/8. Multiply the two numerators after that. Multiply the two denominators after that. The intermediate step that comes after canceling by a common factor of 2 yields 85/24.
Therefore, eight tenths of seventeen sixths equal eighty-five twenty-fourths.
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The price of a computer is 899.00. The sales tax is 7%. What is the sales tax on this computer in dollars and cents?
Answer:
$62.93
Step-by-step explanation:
Convert 7% to a decimal and multiply by the price:
$899.00 x .07 = $62.93
Parcels contain 6 magazines and 4 books. How many parcels can be made from 290 magazines and books?
29 parcels can be made from 290 magazines and books
How many parcels can be made from 290 magazines and books?The given parameters are
1 parcel = 6 magazines and 4 books
This can be rewritten as:
1 parcel = 10 magazines and books
For 290 magazines and books, we have
x = 290 magazines and books
This means that
x = 290 magazines and books
1 parcel = 10 magazines and books
Cross multiply
x * 10 = 290 * 1
This gives
x = 29
Hence, 29 parcels can be made from 290 magazines and books
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Question 2 of 10
Solve x + 4 = 6.
OA. x = -2 and x = 10
OB. x 2 and x = -10
OC. x = -2 and x = -10
OD. = 2 and x = -2
The solution for x in the equation is x = 2
What are linear equations?Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the solution of the equation?The equation is given as
x + 4 = 6
Subtract 4 from both sides of the equation
So, we have
x + 4 - 4 = 6 - 4
Evaluate the like terms
So, we have
x = 2
Hence, the solution for x in the equation is x = 2
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E 2
2 + 1 + 7
I GOT BORED AGAIN HELP ME
Answer:
10.
Step-by-step explanation:
Add them together.
Answer:
2 + 1 + 7 = 10
Step-by-step explanation:
This is actually easy.
ng Task 4. Select appropriate numbers divisible by 2, our answer on your notebook. isible by 2 Divisible by 5 105 238 400 906 260 360 450 745 110 270 110 565 105 85 390 210 Divisible E 260 390 450 400 400 110 775 260 450 210 105 54 450 270 210 766 183 553 365 390 775 906 34 260 745 745 400 438 321 238 85 360 110 565 347
Answer:
238, 400, 906, 360, 450, etc. and all numbers ending in 0, 2, 4, 6, 8.
Step-by-step explanation:
All even numbers are divisible by 2.
An even number is an integer whose ones digit is a 0, 2, 4, 6, o5 8.
Which expression is equivalent to , if y ≠ 0?
A.
B.
C.
D.
Answer:
is there more??? i don't have a enough info
Step-by-step explanation:
What is the volume of a right rectangular prism that is packed with 300 1/5-foot cubes?
The volume of the right rectangular prism = 2.4 ft³
How to Find the Volume of a Cube?A cube is a three dimensional shape that has equal edges and sides. The volume of a cube is calculated as:
Volume = a³, where a is the side length of the cube.
Given:
Side length of one cube (a) = 1/5 ft
Volume of one cube = (1/5)³ = 1/125 ft³
The right rectangular prism has 300 of these cube. Therefore:
Volume of the right rectangular prism = 300 × 1/125
Volume of the right rectangular prism = 300/125
Volume of the right rectangular prism = 2.4 ft³
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What are the coordinates of (-4,-2) rotating 90° counterclockwise?
Answer:
(2, -4)
Step-by-step explanation:
The rotation of an object turns the object around a fixed point called the center of rotation.
A rotation of 90° counterclockwise means:
A 90° rotation counterclockwise with the origin (0, 0) as the center of rotation.
The rule for a counterclockwise rotation of 90° about the origin is:
(x, y) → (-y, x)
Therefore:
(-4, -2) → (2, -4)
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MODELING REAL LIFE Bowling alley A charges $3.75 to rent shoes and $4 per game. Bowling alley B charges $2.50 to rent shoes and $4.50 per game. a. For what numbers of games is the total cost, including a pair of rental shoes, less at bowling alley A? at bowling alley B? Bowling alley A: ___ or more games. Bowling alley B: ___ or___ games .
b. Bowling alley A increases the cost per game by $0.50. How does this affect your answer in part (a)? Explain.
The numbers of games that makes the total cost, including a pair of rental shoes, less at bowling alley A is;
Bowling alley A: 5 or more games.
How to solve inequality word problems?Bowling alley A;
Their charges per game is $4 per game
Charges to rent shoes is $3.75
If number of games is x, then we have;
Total Cost = 3.75 + 4x
Bowling alley B;
Their charges per game is $4.50 per game
Charges to rent shoes is $2.50
If number of games is x, then we have;
Total Cost = 2.5 + 4.5x
Now, for the total cost, including a pair of rental shoes, less at bowling alley A, it means that;
2.5 + 4.5x > 3.75 + 4x
Rearrange to get like terms gives;
4.5x - 4x > 3.75 - 2.5
0.4x > 1.25
x > 1.25/0.4
x > 3.125
Thus, the numbers of games that makes the total cost, including a pair of rental shoes, less at bowling alley A is;
Bowling alley A: 5 or more games.
B) Bowling alley A increases the cost per game by $0.50. Thus, the inequality is now;
3.75 + 4.5x > 2.5 + 4.5x
This means that the total cost will now always be greater at Bowling alley A
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What is the quotient of negative 210 over negative 15?
The quotient of A = - 210 and B = - 15 is 14.
What is Euclid's Division Lemma ?The Euclid's Division Lemma says when a number 'a' is divided by a number 'b' gives the quotient to be 'q' and the remainder to be 'r' then the following relation -> a = bq + r exists, where 0 ≤ r < b.
Dividend [a] = Divisor [b] × Quotient [q] + Remainder [r]
Given two numbers A = - 210 and B = - 15
The resultant quotient when A is divided by B can be calculated using Euclid's division lemma. Initially, we will assume remainder [r] = 0.
If the quotient is in decimals, we will change the remainder according to it else if the quotient is a whole number, the remainder will remain 0.
Using Euclid's division lemma -
Dividend [a] = Divisor [b] × Quotient [q] + Remainder [r]
- 210 = - 15 x q + 0
- 210 = - 15 x q
q = - 210 / - 15 = 14
Since, the quotient is a whole number, the remainder will remain zero.
Therefore, the quotient of A = - 210 and B = - 15 is 14.
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x/2+3=x+6 solve for x, thank you please!
Answer:
x= -6
Step-by-step explanation:
x/2+3=x+6
We have to isolate the variable.
x/2+3=x+6
-x -x
-x/2+3=6
-3 -3
-x/2=3
-0.5x=3 To get to the answer we need to get to x. To get to x from -0.5x we multiply each side by -2
x=-6
9y-5+9y-1=
Please help us
Step-by-step explanation:
9y - 5 + 9y - 1 = 9y + 9y - 5 - 1
= (9 + 9)y - 6
= 18y - 6
I NEED HELP WITH MY HOMEWORK SOMEONE HELP PLS
Answer:
No
Step-by-step explanation:
The question is asking for difference which is another term for subtraction.In that regard Amy is correct, however the question asks for the difference between 3 and -5 which means she'd have to subtract 3 from -5 not the other way around.
I sent an attachment
What is the perimeter of quadrilateral EFGH?
Answer:
54 units
Step-by-step explanation:
From G to H, use the Pythagorean Theorem:
[tex]3^2+4^2=\sqrt{25} =\fbox{5}[/tex]
From G to F, just count:
[tex]\fbox{11}[/tex]
From H to E, use the Pythagorean Theorem:
[tex]12^2+5^2=\sqrt{169}=\fbox{13}[/tex]
From F to E, use the Pythagorean Theorem:
[tex]15^2+20^2=\sqrt{625}=\fbox{25}[/tex]
Now, add up all the answers:
[tex]5+11+13+25=\fbox{54}[/tex]
beth bought 16 gallons of gas for $46.72. What was the unit price of the gas
Answer:
$2.92 per gallon of gas
Step-by-step explanation:
divide $46.72 and 16
$46.72 ÷ 16 gallons of gas = $2.92
$2.92 per gallon of gas
The Burger Joint expects to serve 250 hamburgers on Saturday evening. Each hamburger weighs 6
ounces before it is cooked. The chef orders ground beef in bulk by the pound from Outwest Meats,
ready to be formed into hamburger patties by the kitchen staff. How much ground beef will the chef
need to order to prepare for Saturday?
Answer:150 ounces
Step-by-step explanation:
What is the solution to 3i - 6 = 7i + 1
Answer: i=-1.75
Step-by-step explanation:
3i - 6 = 7i + 1
3i-3i-6=7i-3i+1
-6=4i+1
-6-1=4i+1-1
4i=-7
i=-7/4
i=-1.75
A salesperson earns a commision of $480 for selling $3000 in merchandise. Find the commission rate. Write your answer as a percentage.
Answer:
16%
Step-by-step explanation:
Commission = Rate of commission * Total sales
So, Rate of commission = Commission/Total sales
x = Rate of commission
x = 480/3000
x = 0.16
x as percentage = 0.16 * 100
x as percentage = 16%
Find the quotient of 32×10-22 over 8×10-22
Answer:
5 4/29
Step-by-step explanation:
Rewrite as 298/58 and do the math
PLEASE ANSWER THIS QUESTION QUICKLY!
Solve by factoring:
2(m-1)^2-11(m-1)+5=0
Give either of the two solutions.
Rules answering these questions:
Show your work!
Explain your answer!
Nonsense answer will be reported and delete your answer!
Do not spam answers!
Thanks!
About 2 in every 400 people have an extra rib. If there are 580 people in Antoine's middle school, predict how many people have an extra rib.
2.9% of the people in Antonie's middle school have an extra rib
How to calculate the number of people with an extra rib ?Ribs are curved bones that are located in the chest, they help to protect the delicate organs in that part of the body.
About 2 in every 400 people have an extra rib
There are 580 people in Antoine's middle school
The number of people with an extra rib cage can be calculated as follows
= 580 × 2/400
= 1160/400
= 2.9
Hence 2.9% people have an extra rib cage.
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If 15 sports jerseys cost $345 and 25 jerseys cost $495, write a linear equation that gives the cost C (in dollars) for j jerseys.
The linear equation that gives the cost C (in dollars) for j jerseys is [tex]C = 23j_{1} + 19.80j_{2}[/tex].
How do we derive a linear equation?From the question, the linear equation that gives the cost C (in dollars) for j jerseys can be derived as follows:
[tex]C = 23j_{1} + 19.80j_{2} ............................. (1)[/tex]
Where:
C = total cost of the two jersey
Cost per unit of sports jerseys with $345 cost = $345 / 15 = $23
Cost per unit of jerseys with $495 cost = $495 / $19.80
[tex]j_{1}[/tex] = units of sports jerseys with $345 cost
[tex]j_{2}[/tex] = units of jerseys with $495 cost
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Write 0.641 as a fraction in simplest form
Write the number as a fraction of 1 (one):
0.641 = 0.641/1Simultaneously multiply the numerator and denominator by 10 as many times as the digits after the comma (separation between the integer part and the fractional part of the number):
Since we have 3 numbers after the comma, multiply the numerator and denominator by 1000. So,
0.641/1 = (0.641 x 1,000)/(1 x 1,000) = 641/1,000.Note that multiplying by 10 is the same as moving the decimal point one place to the right.
Once this fraction is irreducible, that is, it is in reduced form, we can no longer simplify it. The answer is the previous fraction.
Skandar
could I have some help on my patterns assignment
Answer:
1. 13, 18, 23, 28, 33, 38, 43, 48, 53
Conjecture: Each term is 5 more than the previous term.
2. 512, 256, 128, 64, 32, 16, 8, 4, 2
Conjecture: Each term is half of the previous term.
3. 1, 8, 27, 64, 125, 216, 343, 512, 729
Conjecture: Each term is a cube. To find the nth term, cube n.
4. 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31
Conjecture: Each term is the next consecutive prime number.
5. Correct as is
6. 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89
Conjecture: Each term is the sum of the 2 previous numbers.
Step-by-step explanation:
1.
Given: 13, 18, 23, 28
We add 5 to each number
13 + 5 = 18
18 + 5 = 23
23 + 5 = 28
28 + 5 = 33
33 + 5 = 38
38 + 5 = 43
43 + 5 = 48
48 + 5 = 53
2.
Given : 512, 256, 128, 64
Divide each number by 2
512 ÷ 2 =256
256 ÷ 2 = 128
128 ÷ 2 = 64
64 ÷ 2 = 32
32 ÷ 2 = 16
16 ÷ 2 = 8
8 ÷ 2 = 4
4 ÷ 2 = 2
3.
Given: 1, 8, 27, 64
We have to cube n:
n³ = consecutive number cubed
1³ = 1 or 1 × 1 × 1
2³ = 8 or 2 × 2 × 2
3³ = 27 or 3 × 3 × 3
4³ = 64 or 4 × 4 × 4
5³ = 125 or 5 × 5 × 5
6³ = 216 or 6 × 6 × 6
7³ = 343 or 7 × 7 × 7
8³ = 512 or 8 × 8 × 8
9³ = 729 or 9 × 9 × 9
4.
Consecutive prime number: Consecutive prime numbers are those that have no gaps or prime numbers between them.
Look at the picture in the link:
6.
Given: 1, 1, 2, 3, 5, 8
We must add the two previous numbers to get the next term:
1 + 1 = 2
1 + 2 = 3
2 + 3 = 5
3 + 5 = 8
5 + 8 = 13
8 + 13 = 21
13 + 21 = 34
21 = 34 = 55
34 + 55 = 89
Determine the sum of (8x1 – x + 4) and (3x + 5)
Answer:
x = 1/9
Step-by-step explanation:
8x¹ - x +4 can be also written as 7x + 4 or 7x = -4
And 3x + 5 can be written as 3x = -5
So,
7x = -4
-(3x = -5)
4x = 1
x = 1/9