which expression is equivalent to the given expression 4(a-3)
-8a
4a-12
4a-3
-4(a+30
Answer:
4a-12
Step-by-step explanation:
4(a-3)=4a-4×3=4a-12
Marcus likes Nike sneakers. He paid $195 for a sneaker that originally cost $245. What is the percent discount of his purchase?
Answer:
21%
Step-by-step explanation:
195 divided by 245 = 0.79 approximately
100-79=21
Always divide the small number by the big number for percentages
Good luck!
-4/7(1/3 x 22)
The answer must be written as a mixed number.
If |14 -2x = 20, x could equal which of the following?
Answer:
x would equal -3
Step-by-step explanation:
want to get rid of 14 from each side so 14 - 14 would get rid of that 20 - 14 = 6 now you still have a negative 2x
-2x / -2x gives you X to be alone now divide 6 with -2 which gives you -3
The value of x is -3.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
14 -2x = 20
Now, solving for x
Subtract 14 both side
14- 2x - 14= 20- 14
-2x = 6
Divide by (-2)
-2x/(-2)= 6/ (-2)
x= -3
Hence, the value of x is -3.
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On a certain road map, the scale is
0.5 inch = 10 miles. Aurora Springs and Glendale are 3 inches apart on the map. What is the actual distance between Aurora Springs and Glendale?
Answer:
3 inches=60 miles
Step-by-step explanation:
Multiply 0.5 times 6 because 1/2 an inch equals 10 miles. 0.5 x 6 = 3. 6 x 10 = 60. The actual distance between Aurora Springs and Glendale is 60 miles or 3 inches
How many 7/8-teaspoon servings are in 1/4 of a teaspoon of sugar? Yor anwer needs to be in farction in simplest form.
The total bill for dinner, including tax, was $65.81. In Indiana there is a 7% sales tax. What was the price of the meal before taxes?
Answer:
$56.41
Step-by-step explanation:
You have to divide the total bill by the sales tax and the multiply that number by 100. Then subtract that number from the total bill and that's how you get your answer.
April invested $7500 into a continuously compounded account with an interest rate of 2.7% for 2 years. How much money was in the account after that time?
Round your answer to the nearest dollar.
Answer:
The final balance is $7,913 and the total compound interest is $413.27
To calculate compound intrest, you need to multiply the initial principal amount ($7500) by one , plus the annual intrest rate (2.7%) raised to the number of compound periods minus one. The total initial amount of the loan is the subtracted from the resulting value.
After two years, the balance on the account will be $7916 if April invested $7500 into a continuously compounded account with an interest rate of 2.7% for 2 years.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
It is given that:
April invested $7500 into a continuously compounded account with an interest rate of 2.7% for 2 years.
The formula to find the money is:
[tex]\rm A = Pe^{rt}[/tex]
Here P = $7500
r = 2.7% = 0.027
t = 2 years
[tex]\rm A = 7500e^{0.027\times2}[/tex]
After solving:
A = 7916.13 ≈ 7916
Thus, after two years, the balance on the account will be $7916 if April invested $7500 into a continuously compounded account with an interest rate of 2.7% for 2 years.
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I’m not sure if I’m right but can someone help.!
Answer:
4/9
Step-by-step explanation:
because it is 0.44444444 repeating :)
Answer:
I think this is right. I checked with my mom, a math wiz, and she says its 11/25. But that can't be simplified, and its not an option. Try simplifying the fraction 11/25.. Hope it helps
Step-by-step explanation:
If I run 2 1/2 miles in 19 1/5 minutes what is my average time per mile
Answer:
7:41
Step-by-step explanation:
19 1/5 as a decimal is 19.2, and the mileage would be 2.5. to find the time per mile, you divide the finish time by the number of miles you ran:
19.2 / 2.5 = 7.68
now you're prolly wondering, "why isn't the answer 7.68?" that's a good question, and the reason that 7.68 isn't the answer is bc time is all in factions of 60, not 100 like most things, so there are 60 seconds in a minute, instead of 100 seconds in a minute.
so, you have to find out how many seconds are in 0.68 of a minute. to do this, you multiply 60 by 0.68:
60 x 0.68 = 40.8
so 0.68 of a minute is 40.8 seconds, so your average pace was 7:40.8. i would just round up to 7:41, but your teacher may want exact numbers.
hopefully that helps and isn't too confusing! if you need any other help, let me know! :)
Help please (screenshot)
Answer:
Step-by-step explanation:
Binary of 18 and 168
Answer:
18=10010
168=00110001 00110110 00111000
Step-by-step explanation:
18=10010
168=00110001 00110110 00111000
Rewrite using distributive property and GCF.
16 + 24
You dont have to help but it would be nice if you would :)
Ethan invested $25,000 in an account that earns 4.25% simple interest. If Ethan doesn't make any additional deposits or withdrawals, how much interest will he have earned after 9 years?
Answer:
I think it might be $36,360.06
Step-by-step explanation:
What is 956.3 written in scientific notation?
The decimal number that is multiplied by 10 must be less than a two-digit number.
We move the decimal point to the left for this problem and stop where the decimal is less than a two-digit number.
So, 956.3 becomes 9.56 after moving two places to the left. Moving to the left makes the exponent of 10 positive. Moving to the right, makes the exponent of 10 negative.
We want our answer in the form
(decimal number) x 10^(n).
Answer: 9.56 x 10^2
Understand???
Adam, Barry, and Charles visited a small farmers market last Saturday. Adam purchased 3 dozen eggs, 1 wheel of cheese, and 5 pounds of potatoes. Barry bought 1 dozen eggs and 10 pounds of potatoes, while Charles purchased 2 dozen eggs and 2 pounds of potatoes. If Adam’s bill was $38.25, Barry’s $36.50 and Charles’ $17.20, how much did a dozen eggs, a wheel of cheese and a pound of potatoes cost?
Answer:
Dozen eggs = $5.5
Wheel of cheese = $6.25
Pound of potatoes = $3.1
Step-by-step explanation:
Let the cost
Dozen of egg = x
Wheel of cheese = y
Pound of potato = z
We will form linear equations using the information given in the question
Adam purchased 3 dozen eggs, 1 wheel of cheese, and 5 pounds of potatoes
3x + y + 5z = 38.25 ................(1)
Barry bought 1 dozen eggs and 10 pounds of potatoes
x + 10z = 36.50 ............(2)
Charles purchased 2 dozen eggs and 2 pounds of potatoes
2x + 2z = 17.20 .................(3)
solving 2 and 3
x = $5.5 and z = $3.1
substitute these values in equation 1
we get
y = $6.25
The cost
Dozen eggs = $5.5
Wheel of cheese = $6.25
Pound of potatoes = $3.1
determine whether or not the two triangles below could lie on the same graphed line
Answer:
I think they could because they are both right trigangles and have a flat bottom
Step-by-step explanation:
7n + 5 =68.... how to solve this problem and show my work
Answer:
n = 9
Step-by-step explanation:
7n + 5 = 68
7n + 5 - 5 = 68 - 5
7n = 63
7n / 7 = 63 / 7
n = 9
if the number of different schedules is represented by three consecutive even integers, what is the expression for that total number of schedules they have to choose from?
Answer:
s
Step-by-step explanation:
s
in the diagram below ,segment A'B' is the image of segment AB after a rotation by 103 degrees counterclockkwise about point C. Which segments below, when drawn, would not have to be the same length
Answer:
2
Step-by-step explanation:
Based on the information below, what are the values of x and y of the solution to the system of equations used to create
the information?
Answer:
x = 4; y = 12
Step-by-step explanation:
The value of x and y is 4,12., the correct option is C.
What is a Matrix?A matrix is an array of numbers or expressions used in mathematics to solve a system of equations.
The matrix A is
[tex]\begin{pmatrix}1/2 & 1/4\\ 9& -3\end{pmatrix}[/tex]
The matrix Ax is
[tex]\begin{pmatrix}5 & 1/4\\ 0& -3\end{pmatrix}[/tex]
The matrix Ay is
[tex]\begin{pmatrix}1/2 & 5\\ 9& 0\end{pmatrix}[/tex]
The determinant for all the matrices is
|A| = -15/4
|Ax| = -15
|Ay| = -45
The value of x is (|Ax|) /(|A|) = -15 / (-15/4) = 4
The value of y is ( |Ay|)/(|A|) = -45 /(-15/4) = 12
Therefore, the value of x and y is 4,12., the correct option is C.
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Original price $80 Rate of discount 4% what is the Discount and Sale price
Answer:Price after discount: $76.80
You saved: $3.20
Step-by-step explanation:
A school wants to rent a cotton candy machine for a carnival. There is a deposit to rent it plus an additional $8 per hour. The total cost to rent the machine for 5 hours is $115. Assume the relationship is linear. Which equation represents this relationship?
Pleaseee answer I will give brainiest if it helps me
Answer:
3+(-4)= -1
Step-by-step explanation:
Originally on 3 and goes to -4, and for addition add (-4) to positive 3 and you'll get -1
18 red marbles; 6 to 9
Answer:
Im not sure what the question is
Step-by-step explanation:
A triangle has a base of 3 2/5 inches and an area of 5 1/10 square inches. Find the height of the triangle.
Answer:
3.33 is the answer
The Buffalo football team wanted to buy new footballs for their practice. They got a discount and had to pay $42 per 6 footballs. what did the team have to pay per football? Be sure to explain all of your work.
Answer:
it would be 7 dollars per football
Step-by-step explanation:
[tex]42 \div 6[/tex]
Nathan ran 2.35 miles on Tuesday and 3.15 on Thursday. What total distance did he run?
Answer:
5.5 miles
Step-by-step explanation:
2.35 + 3.15 =5.5
For which equation does x = 2?
Answer:
what are the equations
Step-by-step explanation:
Is -2.75 greater than -3.25? HURRY!
