Answer:
12(k)=84 k=7
Step-by-step explanation:
84/12=7
In the locker room, there are 8 rows of 9 lockers. All lockers were full in the morning, but in the afternoon 6 were empty. How many lockers were full in the afternoon?
Answer:
66
Step-by-step explanation:
The total number of lockers that were full in the morning was 72. Since 6 were empty in the afternoon, 72-6 = 66 full lockers
What expression is equivalent to x^-1 • y^-2?
Answer:
1/(xy^2)
I hope it will be useful.
Answer:
1/x times 1/y squared
Step-by-step explanation:
361 DIVIDED by 190,969
Answer:
0.00189035916
Step-by-step explanation:
Answer:
0.00189035916824196597353497164461
Step-by-step explanation:
How many 7 digit numbers have6 9 s and no 9 in ones place
Answer:
1062882
Step-by-step explanation:
Seven digits numbers, with repetition of digits, having 6 or 9 at the last one's place :
The first six digits can be filled with 9 options each (numbers 1 to 9) , & the last digit can be filled with 2 options (number 6 & 9)
So, total 7 digit numbers as per given condition = 9 x 9 x 9 x 9 x 9 x 9 x 9 x 2 = 1062882
5
CHALLENGE Sara had some marbles. She got 20 more marbles for her
birthday, and she got 30 marbles at the store. Now Sara has 100 marbles.
How many marbles did she have to start?
Answer:
she started with 50 marbles
Step-by-step explanation:
The total is 100 than you just subtract 20 and 30 becasue that is what is added later on. After you subtract 20 and 30 from 100 you will get 50. Therefore Sara had started out with 50 marbles.
Hope that helps :)
Answer: 50 marbles
Step-by-step explanation: Working backwards we ended with 100 marbles so subtracting the 30 marble we're told she bought at the store and subtracting an additional 20 marbles she received for her birthday leaves her with 50 marbles or mathematically 100-30-20=x where x=50
find the nth term of the quadratic sequence
3,11,25,45
Compare the function with the parent function. Without graphing, what are the vertex, axis of symmetry, and transformation of the given function? y=|6x-2|-7
(1/3,7); x=1/3; translated to the right 1/3 unit and up 7 units
(1/3,7); x=1/3; translated to the left 1/3 unit and down 7 units
(1/3,-7); x=1/3; translated to the right 1/3 unit and down 7 units
(1/3,-7); x=1/3; translated to the left 1/3 unit and up 7 units
Answer: (1/3,-7); x=1/3; translated to the right 1/3 unit and down 7 units
Step-by-step explanation:
The parent function is:
g(x) = IxI
And we have:
f(x) = I6x - 2I - 7
We canr rewrite f to get:
f(x) = 6*Ix - 1/3I - 7
Then, now let's define some transformations:
If we start with g(x), a translation of N units to the right is:
f(x) = g(x - N)
if we start with g(x), a translation of N units up is:
f(x) = g(x) + N
A translation down would be:
f(x) = g(x) - N
And a vertical dilation of scale factor A is written as:
f(x) = A*g(x)
Then in this case we have:
A translation to the right of 1/3 units.
A dilation of scale factor 6.
A translation down of 7 units.
And the axis of symmetry will be when the absolute value part is equal to zero, or when
6*Ix - 1/3I = 0
And that is when x = 1/3.
Then the correct option is:
(1/3,-7); x=1/3; translated to the right 1/3 unit and down 7 units
Four friends had dinner at a restaurant. The bill was $55.40, and they added a 20% tip. The 4 friends shared the total cost equally. How much money did each person pay?
Answer:
$16.62 each
Step-by-step explanation:
First, find 20% of the bill to figure out how much the tip is worth:
20% over 100% = $x over $55.40 ---> 20 * 55.4 / 100 = 11.08
Now that we know the tip is $11.08, next add it on to the bill:
$11.08 + $55.40 = $66.48
Now divide this by 4 to split the bill evenly between the 4 friends:
$66.48 / 4 = $16.62
What rational number is between 6 2/3 and square root of 48
Answer:
h
Step-by-step explanation:
PLEASE HELP MEEE which ordered pair is a solution to this equation -3x-7y=8
A.(-2,2)
B(-2,3)
C(2,-2)
D(3,-2)
Would this be X method factoring and how would I do it if X isn’t alone to begin with
Answer:
Option C
Step-by-step explanation:
Given polynomial is,
x² - 3x - 18 = x² - 6x + 3x - 18
= x(x - 6) + 3(x - 6)
= (x + 3)(x - 6)
We can rewrite the polynomial in factored form as,
x² - 3x - 18 = (x - 6)(x + 3)
Therefore, (x - 6) will be one of the factors of the given polynomial.
Option (C) is the answer.
Please help !!
[90 points if correct]
Answer:
2201.8348 ; 3 ; x / (1 + 0.01)
Step-by-step explanation:
1)
Final amount (A) = 2400 ; rate (r) = 6% = 0.06, time, t = 1.5 years
Sum = principal = p
Using the relation :
A = p(1 + rt)
2400 = p(1 + 0.06(1.5))
2400 = p(1 + 0.09)
2400 = p(1.09)
p = 2400 / 1.09
p = 2201.8348
2.)
12000 amount to 15600 at 10% simple interest
A = p(1 + rt)
15600 = 12000(1 + 0.1t)
15600 = 12000 + 1200t
15600 - 12000 = 1200t
3600 = 1200t
t = 3600 / 1200
t = 3 years
3.)
A = p(1 + rt)
x = p(1 + x/100 * 1/x)
x = p(1 + x /100x)
x = p(1 + 1 / 100)
x = p(1 + 0.01)
x = p(1.01)
x / 1.01 = p
x / (1 + 0.01)
Answer:
2201.8348 ; 3 ; x / (1 + 0.01)
Step-by-step explanation:
Hope this helps! (:
A car manufacturer states that a particular car
* uses 5 liters of fuel in travelling 100 km,
* produces 110 grams of CO2 for each kilometer travelled.
The mass of CO2 produced by one litre of fuel is:
Answer:
The mass of CO2 produced by one liter of fuel is 2,200 gr/lt
Step-by-step explanation:
Proportions
To find the cross-relation between the mass of CO3 produced and the liters of fuel used we must find the unit rate of both relationships given.
We know:
The car uses 5 liters of fuel per 100 Km. The unit rate is 5/100 lt/km
The car produced 110 grams of CO2 for each kilometer traveled. The unit rate is 110 gr/Km
Since the kilometers is the common unit, we find the unit rate of CO2/fuel:
[tex]\displaystyle \frac{\frac{110}{1}}{\frac{5}{100}}=\frac{110}{1}}*\frac{100}{5}}= 110*20 = 2,200[/tex]
The mass of CO2 produced by one liter of fuel is 2,200 gr/lt
x+y=-9
2x-y=6
slove by graphing
Answer:
x+y=9....(i)
2x-6=y....(ii)
then putting the value of y in (i) eqn
x+2x-6=9
3x=15
x=5
Now, putting the value of x in (ii) eqn
then 2*5- 6 =4
Step-by-step explanation:
SO the value of x is 5 and y is 4
HOPE IT HELPS YOU....❤
Suppose that G(x) = F(x+6). Which statement best compares tye graph of G(x) with the graph of F(x)?
Answer:
B.
Step-by-step explanation:
The 6 has moved up because of addition instead of subtraction
100%, percent is shown on the following tape diagram.
What percent is represented by the entire tape diagram?
Answer:
60%
Step-by-step explanation:
Answer:l
Step-by-step explanation:
l
Find the area of square of side 15 cm?
Answer:
225 cm square is the right answer.area of square = l×l = 15 ×15cm =225cm square.So, we know that a square has all sides equal. We need to multiply 15 by 15 to get the area of the square.
A = L x W
A = 15 x 15
= 225cm squared
Therefore, your answer is 225cm squared.
rearrange the equations. a + 2=b a=?
Answer:
a=b-2
Step-by-step explanation:
Answer:
Simply put, a=b-2
Step-by-step explanation:
Subtract 2 to both sides to isolate a.
What is the area of the quadiralateral
Answer:
100
Step-by-step explanation:
Givens
WX = 4 + 3 = 7
ZY = 7 + 6 = 13
Height = 4 + 6 = 10
Formula
Area = (WX + ZY ) * height /2
Solution
Area = (7 +13)*10 / 2
Area = 20*10/2
Area = 200/2
Area = 100
Trans typ./ Check no. Date Description of Transaction Payment/ Debit (-) Deposit/ Credit (+) Balance 900 00 303 5/21 Sandra's Beauty Salon 25.00 25 00 Haircut and Styling 925 00 What did Stephanie do wrong?
Answer:
SHE ADDED THE COST OF THE HAIRCUT TO HER BALANCE.
Step-by-step explanation:
Instead of debited the cost of the haircut stephanie done the mistake by entering the charges of the hair cut into her balance. So due to this, the wrong entry should be recorded.
Therefore the above situation represents the situation in which she did the wrong
Hence, the same is to be considered
You have a car worth $3,200. You owe $1,400 on the loan. You also owe $320 on a credit card. How much are your total liabilities?
Answer:
$1720 total liabilities
Step-by-step explanation:
The total liabilites are $1,720.
What is liability?Liability usually means that you are responsible for something, and it can also mean that you owe someone money or services.
Now given that,
Car worth = $3,200
Loan amount = $1,400
Owe on credit card = $320
Now since liability is the money owe by someone so in the present condition.
Total liabilities = Loan amount + Owe on credit card
⇒ Total liabilities = $1,400 + $320
⇒ Total liabilities = $1,720
which is the required total liabilities.
Thus, the total liabilites are $1,720.
To learn more about debt ratio:
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Another one please I need dis
Answer:
Angle CDB would be the answer
My friend and I went to buy earrings. The shopkeeper said each pair of earrings cost Rs. 12, but offered 12 pairs for Rs. 100. Roughly how much discount am I getting if I buy 12 pairs? a)10% b)12% c)30% d)45%
Answer:
c)30%
Step-by-step explanation:
Step one:
given data
The shopkeeper said each pair of earrings cost Rs. 12
if he offered 12 pairs for Rs. 100.
let us find the cost per pair
= 100/12
=Rs. 8.3 per pair
Required
The percent discount
Step two:
%percent discount= 12-8.3/12*100
%percent discount= 3.66/12*100
%percent discount= 0.305*100
%percent discount= 30.5%
An auditorium has 30 rows with 10 seats in the first row, 12 in the second row, 14 in the third row, and so forth. How many seats are in the auditorium? (1 point)
Answer:
My answer is 1170 but the way I figured out the problem was by listing numbers 1-30. the problem state that the 1st row had 10, 2nd row had 12, and 3rd row had 14 and so forth. So I basically did the same method till I got to 30 and then add up all the numbers which gave me the answer of 1170.
Step-by-step explanation:
Answer:
1170
Step-by-step explanation:
hey there,
(the other person just calculated each number themselves then added them up which i guess is okay but not in the long term for when you're taking a test for example or your teacher asks you this kind of question so it's better to memorize a formula.)
< There are two types of sequences: arithmetic and geometric. So also two formulas for finding sums of each. This situation is an arithmetic sequence.
Formula for the sum of an arithmetic sequence: [tex]S_n=\frac{n}{2} (a_1+a_n)[/tex]
We know there are 30 total rows so n = 30. a1 is the very first term of a sequence so this is 10 in this situation. Before we fill in the formula, we should find what an is equal to.
For this, we will use the basic formula you learned previously: [tex]a_n=dn+c[/tex]
d (the common difference) = a2-a1 = 12-10=2
c (the common ratio) = a1-d = 10-2 = 8
an = dn + c = 2(30) + 8 = 68
Now that we have found what a_n is equal to, we can plug everything into the sum equation.
[tex]S_n = \frac{30}{2} (10+68)=1170[/tex]
So 1170 is your final answer. >
Hope this helped! Feel free to ask anything else.
If you have 3 dollar bills and 6 nickels, how many cents do you have?
Answer:
You would have 10 cents.
Step-by-step explanation:
A square has a perimeter of 44cm. What is the length of each side?
(b) A square has an area of 100cm. What is the length of each side?
a)11cm
b)25cm
you do 44cm divide by 4 which equals to 11
Which rules of exponents will be used to evaluate this expression? Check all that apply.
A: product of powers
B: quotient of powers
C: power of a power
D: power of a product
E: negative exponent
F: zero exponent
Answer:
A: product of powers
B: quotient of powers
E: negative exponent
Step-by-step explanation:
Let's evaluate to see which several rules we would be applying in each step
[tex] \frac{((-8)^4)^{-5}}{(-8)^6} [/tex]
[tex] \frac{((-8)^{4*-5}}{(-8)^6} [/tex] (power of a power)
[tex] \frac{(-8)^{-20}}{(-8)^6} [/tex]
[tex] (-8)^{-20 - 6} [/tex] (quotient of powers)
[tex] (-8)^{-26} [/tex]
[tex] \frac{1}{(-8)^{26}} [/tex] (negative exponent)
Thus, the rules of exponents we have applied to far are:
A: product of powers
B: quotient of powers
E: negative exponent
Answer:
product of powers
quotient of powers
negative exponent
If (a^x a ^y) - a^z = a^m then express m in terms of x, y and z.
Answer:
m = x+y-z
Step-by-step explanation:
Given the expression.
(a^x a ^y) ÷ a^z = a^m
We are to express m in terms of x, y and z.
Using the multiplicative law of indices, the expression becomes:
a^{x+y} ÷ a^z = a^m
Applying the division rule in indices
a^{x+y} ÷ a^z = a^{x+y-z}
The equation becomes
a^{x+y-z} = a^m
Cancel out the base and equate the powers as shown:
x+y-z = m
Hence the expression of m in terms of x, y and z is m = x+y-z
The length of a rectangle is equal to triple the
width. The perimeter of the rectangle is 85
centimeters. Write a system of equations to
represent this situation and then determine
the length and the width of the rectangle.
Answer:
y = 3x
2y + 2x = 85
x = 10 5/8 y = 31 5/8
Step-by-step explanation:
Let’s say that y = length and x = width. We know that the length is 3 times the width (y = 3x) and the perimeter of the rectangle is 85 (2y + 2x = 85). To solve the system of equations, substitute y = 3x into the other equation. This results in the equation 2(3x) + 2x = 85. We now simplify the equation. 6x + 2x = 85 8x = 85 x = 10 5/8.
Now that we know x, we can substitute it into either equation to solve for y. y = 3(10 5/8) y = 31 5/8
The system of equation which represent the given situation is 85 = 8x.
And the length and width of the rectangle is 36.86 and 10.62unit respectively.
What is perimeter?
Perimeter is the distance around the edge of a shape.
Formula for the perimeter of a rectangle[tex]P = 2(l+w)[/tex]
where,
P is the perimeter of the rectangle
l is the length of the rectangle
w is the width of the rectangle.
According to the given question here:
We have,
The perimeter of the rectangle is 85 unit.
Let the width of the rectangle be x unit.
Then, the length of the rectangle be 3x.
Therefore, the equation which represent the situation is given by
85 = 2(x + 3x)
⇒85 = 2(4x)
⇒ 85 =8x
⇒ x = 85/8 = 10.62unit
⇒ 3x = 10.62 × 3 = 31.86 unit.
Hence, the length of the given rectangle is 31.86 unit and width is 10.62 unit .
Learn more about the perimeter of the rectangle here:
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Manu picked 10 apples, and then Sten gave him 10 more. Manu gave 5 of the apples to Klara. How many
does Manu have left?
Answer:
15
Step-by-step explanation:
Answer:
Manu has 15.
Step-by-step explanation:
Manu picked 10 apples
He has ten
Sten gave him ten more
Manu has 20
Manu gives Klara 5
Manu has 15.