Answer
5
Step-by-step explanation:
First you do whats in the parentheses
So it will look like this
14a+16=86 now you want to get 14a by itself so -16 from 86
then you get 14a=70
now divide 14a from 70 and your answer is 5
a=5
What is the domain of the function represented by the graph?
U
2
2
all real numbers
-43x4
0-3
Oy <0
Answer:
I believe its ALL REAL NUMBERS
Step-by-step explanation:
im not sure because they didnt put in a picture of the graph
why are greek letters used in math and their origin and reasons
Answer:
Because European mathematics is very heavily rooted in the mathematics of ancient Greece, and due to the need for many symbols to represent constants, variables, functions and other mathematical objects, mathematicians frequently use letters from the Greek alphabet in their work.
The average price of gasoline in Paris, France, is 1.91 euros per liter. If there are 3.785 liters in one gallon, and the exchange rate is 1.203 euros for one dollar, what is the price of gas in dollars per gallon for gasoline in Paris?
The price of gasoline in Paris is $.61/gallon
The price of gasoline in Paris is $2.38/gallon
The price of gasoline in Paris is $6.00/gallon
Answer:
The price of gasoline in Paris is $6.00/gallon
Step-by-step explanation:
We are asked to find the price of gas in dollars per gallon for gasoline in Paris.
Step 1
We are told in the question that: the average price of gasoline in Paris, France, is 1.91 euros per liter.
Also we are told that, the exchange rate is 1.203 euros for one dollar
We convert the Euros to dollars
If, 1.203 euros = 1 dollar
1.91 euros = x dollars
We Cross Multiply
1.203 euros × x dollars = 1.91 euros × 1 dollar
x dollars = 1.91 euros × 1 dollar/ 1.203 euros
x dollars = 1.5876974231 dollars
Therefore, 1.203 euros = Approximately 1.59 dollars.
Hence, the price of gasoline in Paris, France is 1.59 dollars per liter.
Step 2
We convert the from liter to gallon
In the question, we are told that:
If there are 3.785 liters in one gallon
Therefore, if
1 liter of gasoline = 1.59 dollars
3.785 liters of gasoline =
Cross Multiply
= 3.785 liters × 1.59
= 6.01815 dollars.
Approximately to the nearest whole number = 6.00 dollars.
Since 3.785 liters of gasoline = 1 gallon of gasoline, therefore, the price of gas in dollars per gallon for gasoline in Paris is $6.00/gallon
which polynomials are in standard form
Answer:
B) -2t^2+3t+5
and
C) 4t-7
Solve the equation. | 3k-2 | = 2| k+2 |
Answer:
[tex]-2/5 \text{ and } 6[/tex]
Step-by-step explanation:
So we have the equation:
[tex]|3k-2|=2|k+2|[/tex]
First, distribute the 2 into the absolute value:
[tex]|3k-2|=|2k+4|[/tex]
Definition of absolute value:
[tex]3k-2=(2k+4) \text{ or } 3k-2=-(2k+4)[/tex]
Left:
[tex]3k-2=2k+4[/tex]
Subtract 2k from both sides:
[tex]k-2=4[/tex]
Add 2 to both sides:
[tex]k=6[/tex]
Right:
[tex]3k-2=-(2k+4)[/tex]
Distribute the negative:
[tex]3k-2=-2k-4[/tex]
Add 2k to both sides:
[tex]5k-2=-4[/tex]
Add 2:
[tex]5k=-2[/tex]
Divide by 5:
[tex]k=-2/5[/tex]
So, our solutions are:
[tex]-2/5 \text{ and } 6[/tex]
Where would you place root 8 on the Venn diagram? A) integers B) natural numbers C) rational numbers D) irrational numbers
Answer:
Option (D)
Step-by-step explanation:
All rational and irrational numbers are real numbers.
{-2, -1, -1.8, 0, 1, 2.......}
Numbers written in the form of [tex]\frac{p}{q}[/tex] are rational numbers. They are the part of irrational numbers.
{-2.5, -2, -1, 0, 1, 2.....}
Whole numbers with negative or positive notation are integers.
{-3, -2, -1, 0, 1, 2, 3, 4......}
Positive integers are the whole numbers (including zero).
{0, 1, 2, 3, 4, .......}
All whole numbers excluding zero are the natural numbers.
{1, 2, 3, 4,........}
Irrational numbers are the part of real numbers written in the form of [tex]\frac{p}{q}[/tex].
{[tex]\sqrt{2},\sqrt{5},\pi, \sqrt{10}[/tex]}
Therefore, [tex]\sqrt{8}[/tex] comes under Irrational numbers.
Option (D) is the answer.
Given: A = {a, e, i, o, u}, B = {a, l, g, e, b, r}, C = {m, y, t, h}, A ∩ C is m, a, e, i, o, u, t, h the empty set i a, e, i, o, u, y
Answer:
the Empty set
Step-by-step explanation:
Recall that the intersection of two sets is another set that contains the elements common to both of the intersected sets.
Since sets A and C have NO element in common, then the answer is:
that the intersecting set is: the Empty set.
Answer:
the empty set
Step-by-step explanation:
this simbol ∩ is the intersection and it works as follows
[tex]X={1,2,3}\\\\Y={2,5,6,3}\\\\[/tex]
and X∩Y={2, 3}
because 2 and 3 are the only ones that are in both sets
so we have
A={a, e, i, o, u}
B={a, l, g, e, b, r}
C={m, y, t, h}
A∩C= the empty set
because A and C don't have any common subset
Evaluate the following,giving your answers in their lowest terms:
a) 1/8_1/8
b) 2/3_1/6
c) 3/18_1/3
d) 3/1/8_1/1/4
e) 1/1/8_4/1/4
f)(9/10_9/100)_1/100
Answer:
the isn't enough information to answer
(I have more questions, but I'm sorry for so much of these bc I'm very busy so if u want the rest of the questions Let me know!
Answer:
7.. option a is right
............................ .. sorry mate I also so busy so that. I can't all ur questions
Idk sooo please help
Answer:
20 points
Step-by-step explanation:
Points:
21, 13, 14 and x for the last gameAverage:
(21+13+14+x) / 4 = 1748 + x = 4*1748 + x = 68x = 68 - 48x = 20They must score 20 points
Jaden has $30 dollars in a savings account. The internet rate is 10% per year and is not compounded. How much will he have in 3 years?
Answer:
At the end of three years he would have 21$ remaining
Step-by-step explanation:
10% * 30 =3$
$3*3years=$9
$30-$9=$21
Answer:
it its interest its $39 you add not subtract
Step-by-step explanation:
in a survey of 400 people,80% said that friday was there favorite day of the week .How many people selected friday
Answer:
(400/100)*80 = 320
Step-by-step explanation:
400 = 100%, just divide by 100 and multiply by 80
Answer:
80%of 400
400-80
400-80 =320
=320 people choose Friday
checking
320
80+20= 100
320+ 80=400
The length of one leg of the right triangle is 2 ft less than the length of the hypotenuse. The length of the other leg is 1 ft less than the length of the hypotenuse. Find the length of the sides.
Answer:
The length of the sides are 3 feet and 4 feet, respectively.
Step-by-step explanation:
Given the fact that triangle is a right triangle, it can be represented by Pythagorean Theorem:
[tex]r^{2} = x^{2}+y^{2}[/tex]
Where:
[tex]r[/tex] - Hypotenuse, measured in feet.
[tex]x[/tex], [tex]y[/tex] - Legs, measured in feet.
In addition, each leg can be determined as functions of hypotenuse:
[tex]x = r-2\,ft[/tex]
[tex]y = r-1\,ft[/tex]
Hence, the Pythagorean identity can be expanded and remaining variable may be solved:
[tex]r^{2} = (r-2\,ft)^{2}+(r-1\,ft)^{2}[/tex]
[tex]r^{2} = r^{2}-4\cdot r +4 + r^{2}-2\cdot r +1[/tex]
[tex]r^{2}-6\cdot r +5 =0[/tex]
[tex](r-5)\cdot (r-1) = 0[/tex]
[tex]r = 5\,ft\,\vee\,r = 1\,ft[/tex]
According to the definition of hypotenuse, it must be longer than any of legs. Hence, there is just one solution that is reasonable:
[tex]r = 5\,ft[/tex]
And length of the sides are, respectively:
[tex]x = 5\,ft-2\,ft[/tex]
[tex]x =3\,ft[/tex]
[tex]y = 5\,ft-1\,ft[/tex]
[tex]y = 4\,ft[/tex]
The length of the sides are 3 feet and 4 feet, respectively.
solve for a a/3+4=6
Answer:
a = 6
Step-by-step explanation:
a / 3 + 4 = 6
a / 3 = 2 (Subtract 4)
a = 6 (Multiply by 3)
Given f(x)=x2−2x−2, completing the square to solve for the function's zeros yields which of the following? A. (x−1)2=−2 B. (x−2)2=4 C. (x−2)2=2 D. (x−1)2=3
Answer:
(x-1)² = 3
Step-by-step explanation:
Given f(x)=x²−2x−2
Completing x²−2x−2 = 0 to square
x²−2x − 2=0x²−2x + 1 - 3 =0(x - 1)² - 3 = 0(x - 1)² = 3Correct choice is D
3 + 3w < -9
.........
Answer:
w < - 4
Step-by-step explanation:
Given
3 + 3w < - 9 ( subtract 3 from both sides )
3w < - 12 ( divide both sides by 3 )
w < - 4
Can someone pls help
Answer:
It looks like the number line is going by 2's. So I would say the answer is 20.
Hope this helps!
Answer: 20
Step-by-step explanation:
Assuming for every line you go up you increase the by 2.
So if you have 8 you skip a line and you end up at 12 the next line the line in between those 2 numbers should be 10. Leaving you with a sequence of numbers and if you keep going along 12, 14, 16, 18, you arrive at 20.
write 26 as reapeated multiplication
Answer:
Step-by-step explanation:
26 = 13* 2
Repeated addition :
26 = 13 + 13
Mitch wants to buy a poster to put on the wall between his bathroom door and closet door. There is exactly 22.25 inches of space between the doors. What could be the width of the poster?
Answer:
22.25 inches
Step-by-step explanation:
Since in the question it is mentioned that the mitch wants to buy a poster and wants to put on a wall that is between his door of the bathroom and the closet door
Also the space between these two doors is 22.25 inches
So based on the above information, the width of the poster should be equivalent to the given space i.e. 22.25 inches and the same is to be considered
Answer:
Mitch wants to buy a poster to put on the wall between his bathroom door and closet door. There is exactly 22.25 inches of space between the doors. What could be the width of the poster? (The poster needs to fit on the wall, so it needs to be smaller or equal to the width between the doors
Step-by-step explanation:
how do you add and subtract integers?
Answer: To add integers having the same sign, keep the same sign and add the absolute value of each number. To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest. Subtract an integer by adding its opposite.
Write the converse of the conditional statement: If 2x+4=8, then x=2
Answer:
x = 2 so 8 = 4+x2
Step-by-step explanation:
Answer:
4+4=8
Step-by-step explanation:
YAwhats wrong
What is the absolute value of -4-9t
Answer:
−9t−4
Step-by-step explanation:
Please show work and help me understand this multi-step equation.
Answer:
The correct answer is a = 17/9.
Step-by-step explanation:
To begin this problem, we should use the distributive property on the left side of the equation to get rid of the parentheses. This means that we can multiply each term inside the parentheses by the coefficient outside the parentheses. This is modeled below:
3a - 2 = 3/4a + 2 1/4
Next, we should change the mixed number into an improper fraction so that it is easier to work with.
3a - 2 = 3/4a + 9/4
Now, we can multiply both sides of the equation by 4. This is not a required step, but it will get rid of the fractions on the right side of the equation, so we only have to work in full numbers.
12a - 8 = 3a + 9
The next step is to subtract 3a from both sides and add 8 to both sides to separate the variable and constant terms.
12a - 3a - 8 + 8 = 3a - 3a + 9 + 8
9a = 17
Next, we can divide both sides by 9 to get our variable a alone on the left side of the equation.
a = 17/9
Therefore, the correct answer is a = 17/9.
Mary ears an hourly wage of $13 plus a $90
bonus. If Mary's total paycheck shows she
received $597, how many hours did she work?
A bowl contains candies of the same size in three flavors: orange, strawberry, and pineapple. If the probability of randomly pulling out an orange candy is 1 over 7 , and the probability of randomly pulling out a strawberry candy is 2 over 7 , what is the probability of randomly pulling out a pineapple candy?
How do I do scientific notation?
Answer:
Step 1: Move the decimal point so that you have a number that is between 1 and 10. ...
Step 2: Count the number of decimal places moved in Step 1 . ...
Step 3: Write as a product of the number (found in Step 1) and 10 raised to the power of the count (found in Step 2).
Step-by-step explanation:
Angel saw an internet pop-up advertisement for an investment that doubles your money every year. If angel invests the $20 her grandmother gave her for her birthday, how much will she save in various years?
Skill Sumi
A. 5= -2(x- 1)
B. 5 = -2x+2
1) How can we get Equation B from Equation A ?
Choose 1 answer:
A)Rewrite one side (or both by combining like terms
B)Rewrite one side or both using the distributive property
C)Multiply divide both sides by the same non-zero constant
D)Multiply divide both sides by the same variable expression
Answer:
[tex]\Large \boxed{\mathrm{B}}[/tex]
Step-by-step explanation:
[tex]\sf 5 = -2(x - 1)[/tex]
Applying the distributive property.
We distribute the -2 to the terms in the brackets on the right side of the equation to get Equation B.
[tex]\sf 5 = -2(x) -2(-1)[/tex]
[tex]\sf 5 = -2x + 2[/tex]
To get Equation B from Equation A, we rewrite one side or both using the distributive property.
A rectangle has the following vertices. Find the area of the rectangle. (-8, – 6), (4,2), (4, -6), (-8, 2) (1 point)
O 48 square units
0 144 square units
0 38 square units
O 96 square units
Answer:
D. 96
Step-by-step explanation:
3p + 4r = q solve for p
Answer:
[tex] p = \dfrac{q - 4r}{3} [/tex]
Step-by-step explanation:
3p + 4r = q
3p = q - 4r
[tex] p = \dfrac{q - 4r}{3} [/tex]
Answer:
[tex]p=\frac{q}{3} - \frac{4}{3}r[/tex]
Step-by-step explanation:
If we want to solve for p, our ultimate goal is to isolate it one one side of the equation.
Given [tex]3p + 4r = q[/tex], we can do a few actions on it to isolate the variable.
Divide both sides by 3:
[tex]p + \frac{4}{3}r = \frac{q}{3}[/tex]
Subtract [tex]\frac{4}{3} r[/tex] from both sides:
[tex]p = \frac{q}{3} - \frac{4}{3}r[/tex]
Hope this helped!