Answer:
-4x-6 = 3x-10
-4x-3x= -10+6
-7x= -4
x= -4/-7
x= 4/7
In a standard deck of cards (NOT including jokers), there are:
4 suits (diamonds, hearts, clubs, spades)
13 number and face cards (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King)
2 colors (red, black)
Face cards are Jack, Queen, King
a) What is the probability of drawing a red or black card?
b) What is the probability of drawing a 7 of spades?
c) What is the probability of NOT drawing a Diamond?
d) What is the probability of drawing a black 2?
hmm im not sure, but I'm going to try to help you!! but I think it is B or D. Maybe but I'm not too sure. though. :((
A calculator displays 6E6. How do you write 6E6 in standard form
6E6 is a number written in scientific notation, which means that it represents 6 times 10 raised to the power of 6. To write this number in standard form, we need to evaluate the exponent and write the number in expanded form.
6E6 = 6 x 10^6
Evaluating the exponent 6 means multiplying 6 by 10 six times:
6 x 10^6 = 6 x 10 x 10 x 10 x 10 x 10 x 10
Simplifying the expression, we get:
6 x 10^6 = 6,000,000
Therefore, 6E6 in standard form is 6,000,000.
The perimeter of this rectangle is 20cm, what’s the missing side?
Answer:4 cm
Step-by-step explanation:
Formula for perimeter of a rectangle: P = 2(l+w)
20 = 2(6+w)
20 = 12+2w
divide by 2
10 = 6 + w
10-6 = w
4 = w
You want to purchase a new car in 6 years and expect the car to cost $12,000. Your bank offers a plan with a guaranteed APR of 6.5% if you make regular monthly deposits. How
← much should you deposit each month to end up with $12,000 in 6 years?
T
You should invest $ each month
(Round the final answer to the nearest cent as needed. Round all intermediate values to seven decimal places as needed
Answer:
To calculate the monthly deposit required, we can use the formula for future value of an annuity, which is:
FV = Pmt x (((1 + r)^n - 1) / r)
where FV is the future value, Pmt is the monthly payment, r is the monthly interest rate, and n is the number of months.
In this case, we want to find the monthly payment required to achieve a future value of $12,000 in 6 years, or 72 months. The monthly interest rate is the annual percentage rate (APR) divided by 12, so:
r = 6.5% / 12 = 0.00541666667
Substituting these values into the formula, we get:
12,000 = Pmt x (((1 + 0.00541666667)^72 - 1) / 0.00541666667)
Solving for Pmt, we get:
Pmt = 12,000 / (((1 + 0.00541666667)^72 - 1) / 0.00541666667)
≈ $164.41
Therefore, you should deposit $164.41 each month to end up with $12,000 in 6 years
There are three novels on Sam's reading table: Light, Zami, and Money.
. On his next trip, he can choose to take some, none, or all of these novels. In the braces below, list all the possible sets of novels that Sam can take.
Write each set in your list in roster form. If there is more than one set in your list, separate them with commas. If you need the empty set in your list, use the symbol Ø.
The subsets of the set of novels is given as follows:
{Ø, {Light}, {Zami}, {Money}, {Light, Zami}, {Light, Money}, {Zami, Money}, {Light, Zami, Money}}.
How to find the subsets of a set?Suppose we have a set with cardinality n, that is, with n elements. This set will have 2^n subsets, which are all the possible combinations with the elements of the set, including the empty set.
In this problem, the novels are given as follows:
Light, Zami, and Money.
Hence the possible subsets are given as follows:
{Ø, {Light}, {Zami}, {Money}, {Light, Zami}, {Light, Money}, {Zami, Money}, {Light, Zami, Money}}.
With is the list that is asked for this problem, which are the subsets of the set of novels.
More can be learned about the sub-sets of a set at https://brainly.com/question/2000547
#SPJ1
What fraction is equivalent to -7 over 8
1)8 over -7
2)7 over -8
3)-7 over -8
4)7 over 8
Answer:
2) 7/-8
Step-by-step explanation:
7/-8 because there is one negative meaning that the whole fraction will be negative. If there were two negatives, or none, it would be positive. The original fraction, -7/8, is a negative. Also, the actual numbers are equivalent as well, 7/8 and 7/8.
24. Look for Patterns Copy and complete
the sequence of numbers.
7.5, 6.25,5,
Answer:
aₙ = 7.5 - 1.25*(n-1)
Step-by-step explanation:
a₁ = 7.5*1.25(1-1) = 7.5
a₂ = 7.5*1.25(2-1) = 6.25
a₃ = 7.5*1.25(3-1) = 5.0
.....
aₙ = 7.5 - 1.25*(n-1)
which multiplication expression is equal to 1/4 divided 1/3
Answer:
3/4
Step-by-step explanation:
—Math1/4 : 1/3 = 1/4 x 3/1
= 3/4
Kumar has $10.00 to spend. He decided to buy a candy bar for $1.75 and spend the rest on bags of chips. If each bag of chips costs $2.99, how many bags of chips can kumar buy ?
Answer:
2 bag of chips
Step-by-step explanation:
Total Money Kumar had = $10.00
Money spent on buying candy bar = $1.75
Money left with Kumar after buying candybar can be obtained by subtracting
Money spent on buying candybar from Total Money Kumar had.
Money left with Kumar after buying candybar = $10.00- $1.75 = $8.25.
It is given that rest of money( $8.25 as calculated) is spent on buying bag of chips.
cost of one bag of chips = $2.99
Let no of bag of chips kumar can buy be x .
Therefore total money spent on buying x bag of chips is $2.99 time no. of bag of chips bought
Mathematically it can be expressed as
Total money spent on buying x bag of chips = $2.99 * x = $2.99 x
It is given that he can spent only $8.25 to buy bag of chips.
which means
$2.99 x = $8.25
=> x = 8.25/2.99 = 2.75
Thus he can buy 2.75 bag of chips.
But bag of chips can be only integral number as bag cannot be in fraction .
hence 2 bag of chips can bought which will cost 2*2.99=$ 5.98
Rest of the money will be left which will be 8.25 - 5.98 = $2.27
Answer:
8
Step-by-step explanation:
why mathematics is the very important in a small business? is mathematics is helpful to you? explain
Answer:
Mathematics is very important in a small business is because when you make money transactions with other people you need to know how to count money correctly and your calculations can’t be wrong. When we sign up for jobs like police, or firefighter, we need to use math. Math helps us solve real-world problems.
Step-by-step explanation:
Find the value of y.
Answer:
y = \(\sqrt{55}\)
Step-by-step explanation:
using the Altitude- on- Hypotenuse theorem
(altitude)² = product of parts of hypotenuse
then
y² = 11 × 5 = 55 ( take square root of both sides )
y = \(\sqrt{55}\)
The perimeter of Marisa's garden is 32 feet. The width is 6 feet. What is the length of
Marisa's garden?
The length of Marisa's garden is 10
What is the length of Marisa's garden?The given parameters are:
Perimeter = 32 feet
Width = 6 feet
The perimeter is calculated as:'
Perimeter = 2 * (Length + width)
So, we have
2 * (Length + 6) = 32
Divide by 2
Length + 6 = 16
Subtract
Length = 10
Hence, the length of Marisa's garden is 10
Read more about perimeter at:
https://brainly.com/question/24571594
#SPJ1
What is the intermediate step in the form (x+a)^2=b as a result of complementing the square for the following equations
The intermediate step in the form (x+a)²=b as a result of completing the square for the equation x² + 2x = 319 is (x+1)² = 320.
To use completing the square to solve the equation x² + 2x = 319, we have to write the left-hand side of the equation as a perfect square.
Add the square of half of the coefficient of x to both sides of the equation:
x² + 2x + (2/2)² = 319 + (2/2)²
x² + 2x + 1 = 320
The left-hand side of the equation can now be factored as a perfect square:
(x+1)² = 320
This is the equation in the form (x+a)²=b, where a=1 and b=320.
Learn more about the perfect square here:
https://brainly.com/question/385286
#SPJ1
The complete question is as follows:
What is the intermediate step in the form (x+a)²=b as a result of complementing the square for the following equation?
x² + 2x = 319
What is the equation of a line parallel to y=1/3x-4 that passes through (9,8)?
Step-by-step explanation:
Given line y=1/3x-4
slope of given line m=1/3
Slope of required line :
m=1/3
As lines are parallel then slope of lines are equal.
Using point slope form:
y-y1=m(x-x1)
p(x1,y1)=(9,8)
y-8=1/3(x-9)
3y-24=x-9
x-3y-9+24=0
x-3y+15=0
Note:if you need to ask any question please let me know.
(2,-1)(-3,5)1:2find the point that partitions the segment with the two given endpoints with the given ratio
We are given two points
A = (2, -1)
B = (-3, 5)
Ratio = 1:2
Let the ratio be P
Therefore, P is 1:2
Slope = Rise / Run
Rise = y2 - y1
Run = x2 - x1
x1 = 2, y1 = -1, x2 = -3 and y2 = 5
P = 1 / 1+ 3
P = 1/3
The horizontal distance is the same as run
Run = x2 - x1
=-3 - 2
Run = -5
Therefore we have
P x run
1/3 x -5
= -5/3
The distance between P and A on the x - axis is
-5/3 - 2
= -11/3
Rise = y2 - y1
5 - (-1)
= 5 + 1
Rise = 6
1/3 x 6
6/3 = 2
The distance between A and P on the y axis is
2 -(-1)
=2 + 1
= 3
The points are -11/3 and 3
The answer is (-11/3, 3)
bus company uses a grid to locate bus stops. The bus station is at (3, 4). The point (7, 6) represents the first bus stop. The location of each stop after that is determined using the same relationships as those between the coordinates of the bus station and the first bus stop. A coordinate plane is titled Which point represents the fourth bus stop? A. (11, 8) B. (13, 12) C. (15, 10) D. (19, 12) 7 / 7 6 of 7 Answered
Answer:
I think that's 11,8
Step-by-step explanation:
Hope its right
an equation in algebra with b=2 s=6
Answer:
Assuming you want to make an equation.
s = b + 4
b + s = 8
If you double a number and then add 28 , you get 4/9
of the original number. What is the original number?
Answer: -124/9 or -13.778
Step-explanation: You may not have any idea how to approach this problem but I can help. We are given some information about a number and asked to find out what number it is. Since we don't know what the number is, we can say that it is X (a variable).
If you double X and add 28 you get 4/9. Doubling X can be represented as 2X. If we add 28 to that, we get 2X+28. We are told we get 4/9 which means that 2X + 28 is equal to 4/9 or 2x + 28 = 4/9.
We have now built an algebraic equation for X. We can now simply solve for X.
2X + 28 = 4/9
2X + 252/9 = 4/9 Rewrite 28 as 252/9 so we have common denominators
2X = -248/9 Subtract 252/9 from both sides
X = -124/9 Divide by 2 on both sides and we get X
Whenever you are given a problem similar to this one, try to create an algebraic equation or expression that can model the problem. A variable can represent the number you are trying to find.
Hope this helps!
Find the area of the shape shown below.
Answer:
The answer is 32
Step-by-step explanation:
The formula for finding the area of a trapezoid is:
((base 1 + base 2)/ 2 )* h
Now all you have to do is substitute the numbers in.
Note: bases will always be the ones like 12 and 4 in this case. We have just named then 1 and 2.
Answer:
32 square units
Step-by-step explanation:
\(\displaystyle A=\frac{1}{2}(b_1+b_2)h=\frac{1}{2}(12+4)(4)=\frac{1}{2}(16)(4)=\frac{1}{2}(64)=32\)
Note that \(b_1\) and \(b_2\) are the lengths of each base of the trapezoid, so it doesn't matter which is which.
Simplify 2(csc^2 0-cot^2 0)
f(x) = 3 x² + 5 x - 7 &
g(x) = x² + 8 x + 10
Asked=
a. f(x) + g(x) =
b. f(x) - g(x) =
Answer:
4x² + 13x + 3 and 2x² - 3x - 17
Step-by-step explanation:
(a)
f(x) + g(x)
= 3x² + 5x - 7 + x² + 8x + 10 ← collect like terms
= 4x² + 13x + 3
(b)
f(x) - g(x)
= 3x² + 5x - 7 - (x² + 8x + 10)
= 3x² + 5x - 7 - x² - 8x - 10 ← collect like terms
= 2x² - 3x - 17
find the ninth power of 10. Write it as repeated multiplication, with an exponent, and as a whole number.
The value of the expression 10⁹ by the repeated multiplication will be 1,000,000,000.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ 10⁹
The value of the expression by the repeated multiplication will be given as,
⇒ 10⁹
⇒ 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10
⇒ 1,000,000,000
The value of the expression 10⁹ by the repeated multiplication will be 1,000,000,000.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ1
10. The width of a rectangle is doubled and the length is halved. This produces a square with perimeter of Pem. What is the perimeter (in cm) of the original rectangle? A) 2.5p B) 1.25P C) 0.5P D) 2P E) None of these
9514 1404 393
Answer:
B) 1.25P
Step-by-step explanation:
The perimeter of the square is P, so each side is 0.25P. That means the rectangle had sides of 2(0.25P) and 1/2(0.25P) = 0.5P and 0.125P.
The rectangle's perimeter is ...
perimeter = 2(L+W) = 2(0.5P +0.125P) = 2(0.625P)
perimeter = 1.25P . . . . matches choice B
Which of the following rational functions is graphed below?
A. F(x) =(x-2)/(x+5)
B. F(x) =1/(x-2)(x + 5)
C. F(x) =1/(2x + 5)
D. F(x)= 1/(x+2)(x-5)
The graph of the rational equation is solved and f ( x ) = 1/ ( x + 2 ) ( x - 5 )
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = 1/ ( x + 2 ) ( x - 5 )
The function will have increasingly large values as the denominator approaches zero. When x -2, the denominator is positive and the function tends to the upside. When x -2 x 5, the function is negative. When x 5, the function becomes positive once more.
Hence , the rational function is f ( x ) = 1/ ( x + 2 ) ( x - 5 )
To learn more about rational functions click :
https://brainly.com/question/26594994
#SPJ1
The complete question is attached below :
Which of the following rational functions is graphed below?
A. F(x) =(x-2)/(x+5)
B. F(x) =1/(x-2)(x + 5)
C. F(x) =1/(2x + 5)
D. F(x)= 1/(x+2)(x-5)
Which of the following is the correct graph of a linear equation below Y +3 equals -2/3 times X -4
Answer:
Where are the graphs?
Step-by-step explanation:
In Table 2, at this rate, how much would it cost to buy 9 books?
Answer:
There is no table attached, if you attach is I will gladly help :)
Step-by-step explanation:
Please first to answer will get brainliest
The water level of a tank every minute since it began filling is indicated by segments A,B,C on the graph below
Put the segments in the correct order from least to greatest rate of increase in water level
A then C then B
I hope this helps!
Find the surface area of the prism.
4cm
,
3cm
A
6cm
--
5cm
Surface Area = [ ]cm2
Answer:
60cm²
Step-by-step explanation:
2(1/2×4×3)+(3×6)+(5×6)
Sabas Company has 40,000 shares of $100 par, 1% preferred stock and 100,000 shares of $50 par common stock issued and outstanding. The following amounts were distributed as dividends: Year 1: $50,000 Year 2: 90,000 Year 3: 130,000 Determine the dividends per share for preferred and common stock for each year. If an answer is zero, enter '0'. Round all answers to two decimal places.
The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.
To determine the dividends per share for preferred and common stock for each year, we need to divide the total dividends by the number of shares for each type of stock.
Preferred Stock:
Dividends per share of preferred stock = Total dividends for preferred stock / Number of preferred shares
Year 1:
Dividends per share of preferred stock for Year 1 = $50,000 / 40,000 shares = $1.25
Year 2:
Dividends per share of preferred stock for Year 2 = $90,000 / 40,000 shares = $2.25
Year 3:
Dividends per share of preferred stock for Year 3 = $130,000 / 40,000 shares = $3.25
Common Stock:
Dividends per share of common stock = Total dividends for common stock / Number of common shares
Year 1:
Dividends per share of common stock for Year 1 = ($50,000 - Total dividends for preferred stock) / 100,000 shares = ($50,000 - $50,000) / 100,000 shares = $0
Year 2:
Dividends per share of common stock for Year 2 = ($90,000 - Total dividends for preferred stock) / 100,000 shares = ($90,000 - $90,000) / 100,000 shares = $0
Year 3:
Dividends per share of common stock for Year 3 = ($130,000 - Total dividends for preferred stock) / 100,000 shares = ($130,000 - $130,000) / 100,000 shares = $0
The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.
for more questions on stock
https://brainly.com/question/18124452
#SPJ8
Which expressions are equivalent to 24-7? Choose all the correct answers. Show your work.
The equivalent expressions to \(24^{-7}\) are given as follows:
C. \(\left(\frac{1}{24^{-7}}\right)^{-1}\)
F. \((24^3 \times 24^4)^{-1}\)
What are are equivalent expressions?Equivalent expressions are expressions that have the same value for all possible values of the variables. In other words, equivalent expressions are different ways of writing the same mathematical idea.
The exponent in the denominator can be moved to the numerator with the changed signal, hence:
\(\left(\frac{1}{24^{-7}}\right)^{-1} = (24^7)^{-1}\)
Applying the power of power rule, we multiply the powers, hence:
\((24^7)^{-1} = 24^{-7}\)
When two terms with the same base and different exponents are multiplied, we add the bases and keep the exponents, hence:
\((24^3 \times 24^4)^{-1} = (24^7)^{-1} = 24^{-7}\)
More can be learned about equivalent expressions at https://brainly.com/question/15775046
#SPJ1