Given:
The circumference of the smaller is 30% of the circumference of the larger circle.
We need to determine the circumference of the larger circle.
Diameter of the larger circle:
The diameter of the smaller circle is 9 in.
Since, the circumference of the smaller is 30% of the circumference of the larger circle, we have;
[tex]S=0.3L[/tex]
where S is the circumference of the smaller circle and L is the circumference of the larger circule.
[tex]\pi(9)=(0.3)\pi d[/tex]
[tex]9=0.3d[/tex]
[tex]30=d[/tex]
Thus, the diameter of the larger circle is 30 inches.
Circumference of the larger circle:
The circumference of the larger circle is given by
[tex]C=\pi d[/tex]
[tex]C=3.14\times 30[/tex]
[tex]C=94.2[/tex]
Thus, the circumference of the larger circle is 94.2 inches.
What is equivalent to 8x- y+ 3x?
Answer:
11x - y
Step-by-step explanation:
Crystal owes $8,950 on her Electronics Boutique credit card with a 18.4% interest rate. She owes $6,390 on her Miscellaneous Goods credit cards which has a 22.9% interest rate. What is the total monthly payment needed to pay off both cards in three years, assuming she makes fixed payments and does not charge any more purchases with the card?
Final answer:
The total monthly payment needed to pay off both cards in three years, assuming fixed payments and no further charges, is $550.78.
Explanation:
Calculating the Total Monthly Payment
To calculate the total monthly payment needed to pay off both cards in three years, we need to find the monthly payment for each card and add them together.
Calculating the Monthly Payment for Electronics Boutique Credit Card
Step 1: Calculate the monthly interest rate by dividing the annual interest rate by 12. For the Electronics Boutique card, the monthly interest rate is 18.4% / 12 = 1.53%.
Step 2: Use the formula for calculating the monthly payment on a loan:
Monthly Payment = (Principal * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Payments))
For the Electronics Boutique card, the principal is $8,950 and the number of payments is 3 years * 12 months per year = 36 months.
Plugging the values into the formula, the monthly payment for the Electronics Boutique card is $320.84 (rounded to the nearest cent).
Calculating the Monthly Payment for Miscellaneous Goods Credit Card
Following the same steps as above, the monthly payment for the Miscellaneous Goods credit card is $229.94 (rounded to the nearest cent).
Calculating the Total Monthly Payment
To get the total monthly payment, we add the monthly payments for both cards: $320.84 + $229.94 = $550.78 (rounded to the nearest cent).
If y equal 6 what is 2y
Answer:
12
Step-by-step explanation:
2*6=12
Answer:
12
Step-by-step explanation:
if y is 6 this u change the y to a 6 making it a multiplication problem 2*6
Find the area(now I need to make this 20 words longfheieh)
Given:
Image of the figure
To find:
The area of the figure.
Solution:
The image is splitted into two shapes.
One is rectangle and the other is trapezium.
Reference image for answer is attached below.
Rectangle:
Length = 10 cm
Width = 2.8 cm
Area = length × width
= 10 × 2.8
Area = 28 cm²
Trapezium:
Top base = 6 cm
Bottom base = 10 cm
Height = 7.2 - 2.8 = 4.4 cm
Area = [tex]\frac{1}{2} \times(b_1+b_2)\times h[/tex]
[tex]$=\frac{1}{2} \times(6+10)\times 4.4[/tex]
[tex]$=\frac{1}{2} \times16\times 4.4[/tex]
Area = 35.2 cm²
Area of the figure = 28 cm² + 35.2 cm²
= 63.2 cm²
The area of the figure is 63.2 cm².
Solve the following:
a)X + 5 = 11
b) X- 6 = 8
c) 3 + x = 7
d) 12 = x + 5
Answer:
Step-by-step explanation:
a) X + 5 = 11
Subtract 5 from both sides
X = 6
b) X - 6 = 8
Add 6 on both sides
X = 14
c) 3 + X = 7
Subtract 3 on both sides
X = 4
d) 12 = X + 5
Subtract 5 from both sides
7 = X or X = 7
Answer:
a) x=6
subtract 5 from each side.
b) x= 14
add 6 to each side
c) x=4
subtract 3 from both sides
d) x=7
subtract 5 from both sides
Step-by-step explanation:
a) subtract 5 from each side.
b) add 6 to each side
c) subtract 3 from both sides
d) subtract 5 from both sides
solve for k
11/8=k/4
k= ???
Answer:
5.5
Step-by-step explanation:
11/8 = k/4
If you divide from the denominator you have to divide from the nominator
so 11/2=5.5
I need help with this PLEASE
Answer:
B 2/5
F theoretical > experimental
Step-by-step explanation:
P(heads) = numbers of heads/ total
=8/20 = 2/5
The theoretical (1/2) is greater than the experimental probability
1/2 > 2/5
In a random sample survey of 240 voters, 128 said they would vote for Candidate A in an upcoming election. 1) Based on the random survey, what percent said they will vote for Candidate A? Round to the nearest whole percent. A) 49% B) 53% C) 58% D) 63%
Answer:
B) 53%
Step-by-step explanation:
To find the percent divide the number who will vote for Candidate A over the total number of people surveyed
vote for Candidate A/total surveyed
128/240=0.53333
0.53333*100=53.3333%
Rounded to the nearest percent=53%
Hope this helps! :)
John has 12 pounds of dog food and is going to separate it into 3/4 pound portions. How many portions of dog food will he have!?
And you can’t find this on google so don’t even say that ! give me step by step tutorial please if ur gonna help me out
Answer:
he will have 16 portions of dog food
Step-by-step explanation:
FINAL ROUND FOR THE MATHEMATICS RACE....
2nd PLACE PRIZE 16 POINTS
1st PLACE 16 POINTS AND BRAINLIST!!
What is (5 + 24) / 3?
Answer:
29/3
Step-by-step explanation:
You use PEMDAS and do the parentheses first:
(5+24)/3= 29/3
Answer:
29/3
or 9.6666666666666666666666666
Step-by-step explanation:
5+24= 29
then divide by 3
Name the quadrant in which the angle lies the
Answer:
quad 3
Step-by-step explanation:
Subtract multiples of 360
944 -360
584
584 -360
224
0-90 is in quad 1
91 -180 is in quad 2
181 - 270 is in quad 3
34,94,14,35,29,16,73,51,41
Mean:
Mode:
Median:
Range:
Answer:
Step-by-step explanation:
The median is 29
There is no mode
The mean is when you add them together will be 387 and then you divide it by 8 which will be equal to 48.375
The range will be 80 I don’t know if this is right
Hawaii (12° F)
-60South Dakota (-58° F)
Enter the difference, in degrees, between the record low temperatures
Hawaii and South Dakota.
Final answer:
The difference in degrees between the record-low temperatures of Hawaii and South Dakota is 70°F.
Explanation:
The difference in degrees between the record-low temperatures of Hawaii and South Dakota can be found by subtracting the temperature of South Dakota from the temperature of Hawaii.
Hawaii has a record low temperature of 12°F and South Dakota has a record low temperature of -58°F.
Therefore, the difference in degrees between the two record-low temperatures is:
(12°F) - (-58°F)
= 12°F + 58°F
= 70°F.
YOU WILL GET BRAINLIST!!!!!!!!
Rewrite the following mixed number as a decimal.
17 35/50
Answer:
17.7
Step-by-step explanation:
First off, we do not need to do anything to the 17, it is already set up for a decimal. So we have to find out how much 1/50 is so we divide:
Divide:
1/50=0.02
Multiply by 35:
0.02 times 35= 0.7
Add the 17:
17+0.7=17.7
I hope this helps u pls give a brainliest and a thx ;)
leave a comment if i am wrong
35percent as a fraction in simplest form
Answer:
7/20
Step-by-step explanation:
A recipe calls for 1.4 ounces of raisins for every muffin. how many total ounces of raisins would be needed for 24 muffins?
Answer:
33.6 ounces of rasins (:
Step-by-step explanation:
Answer:
33.6 ounces
Step-by-step explanation:
for every 1 muffin, you need 1.4 ounces... 1:1.4
multiply the ounces for one muffin by the amount of muffins about to be made
1.4 * 24
33.6 ounces of raisins are needed for 24 muffins.
i hope this helped you!
:)
it would mean a lot if you could mark as brainliest :) <3
1) 6x+4y=6
3x=-15
Solving systems of equations using any method
Answer:
x = -5
y = 9
Step-by-step explanation:
3x = -15
x = -5
Substitute x into the equation and simplify:
6(-5) + 4y = 6
-30 + 4y = 6
4y = 36
y = 9
0.5(r+2.75)=3 sovle for r
Hope this will help u...:)
In order to identify extraneous solutions in a rational equation, you must know where each part of the equation is undefined. How many different values are undefined for the given expression?
\frac{x+2}{x\left(x-2\right)\left(x+4\right)}
x(x−2)(x+4)
x+2
Answer:
i hate math
Step-by-step explanation:
Can someone help me with these questions For the first 4 I need to write the word sentence as an equation
the lengths of three
sides of a triangle are
in the extended ratio
3: 6: 8. the perimeter
of the triangle is 5.1m
What are the lengths
of the sides in cm?
.
Answer:
90 cm, 180 cm, 240 cm
Step-by-step explanation:
Let the lengths of sides of the triangle be 3x, 6x and 8x
[tex] \therefore \: 3x + 6x + 8x = 5.1 \: m \\ \therefore \: 17x = 510 \: cm \\ \therefore \: x = \frac{510}{17} \\ \therefore \:x = 30 \: cm \\ \implies \\ 3x = 3 \times 30 = 90 \: cm \\ 6x = 6 \times 30 = 180 \: cm \\ 8x = 8 \times 30 = 240 \: cm[/tex]
Hence, lengths of the sides of the triangle are 90 cm, 180 cm and 240 cm.
The owner of an office building is expanding the length and width of a parking lot by the same amount. The lot currently
measures 120 ft by 80 ft, and the expansion will increase its area by 4.400 ft? By how many feet should the length of the
parking lot be increased?
Answer:
The length of the parking lot should be increased by 20 feet.
Step-by-step explanation:
First, you find the product of 120 and 80, you get 9600.
Next, add 4400 to it. You get 1400
Finally what would you add to both 120 and 80 to get 14000? 20 to get 140*100.
PLEASE HELP FIRST ONE GETS IT
Answer:x=-1
Step-by-step explanation:
To solve 6-3+4x+1=
Collect like terms
6+1-3+4x=
7-3+4x=
4=-4x
x=-1
There is one solution
Solve for X, thats all that I was told
Answer:
x=-1
Step-by-step explanation:
The first step is to expand everything in parentheses.
-2(3x-4)=4(x+3)+6
-6x+8=4x+12+6
Now, combine like terms.
10x=-10
Finally, divide both sides by 10 to isolate x.
x=-1
Hope this helps!
Rosa is converting a unit of measure in one system to a unit of measure in another system. 1,760 yd1 mi⋅0.914 m1 yd⋅1 km1,000 m Which statement about Rosa's calculations is true?
Rosa is finding the number of kilometers in a mile.
Rosa is finding the number of meters in a mile.
Rosa is finding the number of miles in a kilometer.
Rosa is finding the number of yards in a kilometer.
Answer: Rosa is finding the number of kilometers in a mile.
Step-by-step explanation:
According to the given information, we have:
1,760 yd=1 mi
0.914 m=1 yd
1 km=1,000 m
So, as we can see, Rosa wants to convert miles to yards, then yards to meters and finally meters to kilometers:
[tex](1 mi\frac{1,760 yd}{1 mi})( \frac{0.914 m}{1 yd})( \frac{1 km}{1,000 m})=1.608 km[/tex]
Then:
[tex]1 mi=1.608 km[/tex] This is the number of kilometers in a mile.
What is the surface of a sphere with the radius of 5 ft
Hello there, to answer your question...
Surface Area = 4πr2
= 4×π×52
= 100π
= 314.159The surface area of a sphere with a radius of 5 ft is 100π square feet.
What is a sphere?It is a three-dimensional figure where the volume is given as:
The volume of a sphere = 4/3πr³.
The surface area of a sphere with a radius r is given by the formula:
Surface area = 4πr²
We have,
The surface area of a sphere with a radius r is given by the formula:
Surface area = 4πr²
Substituting r = 5 ft, we get:
Surface area = 4π(5^2) = 4π(25) = 100π
Therefore,
The surface area of a sphere with a radius of 5 ft is 100π square feet.
Learn more about sphere here:
https://brainly.com/question/12390313
#SPJ3
In the recursive formula an = an−1 + 5, the value of the previous term is represented by
A) an
B) a5
C) an+5
D) an−1
Step-by-step explanation:
In the recursive formula an = an−1 + 5
[tex]a_n = a_{n-1}+5[/tex]
Suppose if a_5 is the nth term then previous term is a_4
To get the previous term we need to subtract 1 from the n
So a_n is the nth term
[tex]a_{n-1}[/tex] is the previous term
Here 5 represents the common difference between two terms
So value of previous term is represented by
[tex]a_{n-1}[/tex]
Answer : [tex]a_{n-1}[/tex]
Answer:
D) [tex]a_{n-1}[/tex]
Step-by-step explanation:
-1 indicates the previous term
Brainliest to first person to answer + 35 points
Answer:
I am pretty sure it is
Step-by-step explanation:
(d) or( b)
Construct a linear equation for the table. What is the slope of the line
We have points (-3, 4), (-1, 2), (4, -3) and (6,-5)
Let's verify it's a line by calculating the slopes between successive points.
Slope is change in y over change in x.
(2 - 4)/(-1 - -3) = -2/2 = -1
(-3 - 2)/(4 - -1) = -5/5 = -1
(-5 - -3)/(6 - 4) = -2/2 =-1
Yup. We have a line of slope -1 through point (-1, 2)
y - 2 = -1(x - -1)
y = -x - 1 + 2
y = -x + 1
That's the linear equation for the table.
Answer: Linear equation: y = -x + 1 slope = -1
What is the median of the data set?
A.) Two and a half books
B.) Four books
C.) Two books
D.) Three books
Answer:
C
Step-by-step explanation:
2 books has the highest rate
2+2+2+2+2+2+2=14
Answer:
c
Step-by-step explanation:
3