Pam wants to put a banner across her garage door to congratulate her son on his college graduation. The garage door is 12 feet high and 16 feet wide. How many feet long should the banner be to fit the garage door?
Answer:
20 feet is the answer
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Answer:
Part D
Step-by-step explanation:
What is the standard form of the equation of a circle whose diameter is 20 units and whose center is (−1,7)?
Drag an expression or value to the boxes to correctly complete the equation.
Answer:
[tex] (x + 1)^2 + (y - 7)^2 = 100 [/tex]
Step-by-sep explanation:
Given:
Diameter of circle = 20 units
Center of circle = (-1, 7)
Standard form of the equation of a circle is expressed in the center-radius form as:
[tex] (x - h)^2 + (y - k)^2 = r^2 [/tex],
Where,
h = -1
k = 7
r = ½ of diameter = ½(20) = 10 units
Plug in the values into the equation
[tex] (x - h)^2 + (y - k)^2 = r^2 [/tex]
[tex] (x - (-1))^2 + (y - 7)^2 = 10^2 [/tex]
[tex] (x + 1)^2 + (y - 7)^2 = 100 [/tex]
The equation of the circle is [tex]\mathbf{(x +1)^2 + (y -7)^2 =100}[/tex]
The standard form of the equation of a circle is:
[tex]\mathbf{(x -a)^2 + (y -b)^2 =r^2}[/tex]
From the question, we have:
[tex]\mathbf{(a,b) = (-1,7)}[/tex]
[tex]\mathbf{r = \frac{1}{2} \times 20 = 10}[/tex]
So, the equation becomes
[tex]\mathbf{(x -a)^2 + (y -b)^2 =r^2}[/tex]
Substitute values for (a), (b) and (r)
[tex]\mathbf{(x +1)^2 + (y -7)^2 =10^2}[/tex]
Express 10^2 as 100
[tex]\mathbf{(x +1)^2 + (y -7)^2 =100}[/tex]
Hence, the equation of the circle is [tex]\mathbf{(x +1)^2 + (y -7)^2 =100}[/tex]
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The cost of 24 pounds of cat food is $54. What is the cost per pound of cat food?
O $2.20
O $2.50
O $2.00
O $2.25
Answer:
$2.25
Step-by-step explanation:
To find the cost per pound you have to divide $54 by 24.
EASY POINTS
Choose the ratio that is equivalent to 4:6.
Group of answer choices
2:3
2:4
3:2
1:3
Answer:
Thanks Willy Wonka luv ya
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
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
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?
For which equation does x = 2?
Answer:
what are the equations
Step-by-step explanation:
What is the value of x on all 3?
Answer:
1 figure
x=115°
2 fig
x=115°
3 fig
x=58°
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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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!
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:
If x = y and y = Z, which statement must be true?
A. ZX
B. -X Z
C. - x = -2
O
a
D. X Z
Answer:
D. XZ
Step-by-step explanation:
Rewrite using distributive property and GCF.
16 + 24
help me plz i dont get it its alot ill mark brainliest
Answer:
I CANT SEE IT sorry caops
Step-by-step explanation:
if i could see i could answer
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! :)
Simplify the expression 4x^3 x 2x^3
Answer:
8x^6
Step-by-step explanation:
Brainliest
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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-4/7(1/3 x 22)
The answer must be written as a mixed number.
*50 POINTS* there is a picture of the problem, say what you got for x and explain how.
Answer:
x==18
Step-by-step explanation:
Original Question :
[tex]6 = \frac{x + 2}{3} [/tex]
(You will need to Find LCM)
[tex]6(6) = (\frac{x + 2}{?3})6[/tex]
(You will then multiply 6 by 6)
(With the three you will divide 6 by 3)
[tex]36 = (x + 2)2 \\ [/tex]
(Since three can divide 6 2 times that's why we have two outside the bracket)
36=2x+4
We got this and because you will multiply 2 by the ones in the bracket
So the 4 will cross the equal sign making it negative
[tex]36 - 4 = 2x[/tex]
You will then proceed to simplify which is going to be;
[tex]32 = 2x[/tex]
We got 32 because 36-4 is 32
After this you divide both sides by 2
[tex] \frac{36}{2 ?} = \frac{2x}{2?} [/tex]
36 divided by 2 is;, 18 and 2 will cancel each other out leaving x alone
So;
[tex]x = 18[/tex]
18 red marbles; 6 to 9
Answer:
Im not sure what the question is
Step-by-step explanation:
The boiling point of water in the Fahrenheit scale is 212 degrees ?
True
False
Help
The answer fam is........True (212°F)
What is a secure line of credit?
a. A line of credit offered only to individuals with excellent credit ratings.
b. A line of credit offered to a business or corporation.
c. A line of credit backed by the government.
d. A line of credit backed by collateral.
Answer:
D. A line of credit backed by collateral.
Step-by-step explanation:
Answer:
D. A line of credit backed by collateral.
Step-by-step explanation:
did the quiz
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:
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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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???
If misty has been traveling for 9hours how many miles of the trip does she have remaining
Answer:
Need more context to answer the question
1. When developing an interval estimate for the difference between two sample means, with sample sizes of n1 and n2, A. n1 must be equal to n2 B. n1 must be smaller than n2 C. n1 must be larger than n2 D. n1 and n2 can be of different sizes
Answer:
D. n1 and n2 can be of different sizes
Step-by-step explanation:
When we are trying to develop interval estimate for difference between two populations, we first select two samples from these populations. We get the interval using the required statistic.
These are:
- Sample size of both populations. Which are n1 and n2 respectively.
- then the Sample mean of two populations
- sample standard deviation.
The samples of different sample sizes can be used and we are not obligated to make use of the same sample size.
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