Answer:
$8,440
Step-by-step explanation:
5.5% of 8,00 = 440
8,000 + 440 = 8,440
Answer:
The answer is....................................... $8440
Step-by-step explanation:
Terri rode her bike very slowly to the top of a big hill. Then she coasted back down the hill at a much faster speed. The distance from the bottom to the top of the hill is 3 kilometers. It took Terri ¼ hour to make the round trip. What was her average speed for the entire trip?
Answer:
Terri’s speed can be calculated like this:
her speed- [tex]\frac{6km}{0.25h}[/tex]=24km/h
Step-by-step explanation:
simplify radical sign 16a^8b^-2
Answer:
[tex] \frac{ {4a}^{4} }{b} [/tex]solution,
[tex] \sqrt{16 {a}^{8} {b}^{ - 2} } \\ [/tex]
Use negative power rule:
[tex] {x}^{ - a} = \frac{1}{ {x}^{a} } [/tex]
[tex] \sqrt{ {16}^{8} \times \frac{1}{ {b}^{2} } } \\ [/tex]
Simplify:
[tex] \sqrt{ \frac{ {16a}^{8} }{ {b}^{2} } } \\ = \frac{ \sqrt{ {16a}^{8} } }{ \sqrt{ {b}^{2} } } \\ [/tex]
Use this rule:
[tex] \sqrt{ab} = \sqrt{a} . \sqrt{b} [/tex]
[tex] \frac{ \sqrt{16. \sqrt{ {a}^{8} } } }{ \sqrt{ {b}^{2} } } [/tex]
Since, 4*4=16 ,the square root of 16 is 4
[tex] \frac{ \sqrt{ {4}^{2} } \sqrt{ {a}^{8} } }{ \sqrt{ {b}^{2} } } \\ = \frac{4 \sqrt{ {a}^{8} } }{ \sqrt{ {b}^{2} } } [/tex]
Simplify:
[tex] \frac{4 \: \sqrt{ {(a}^{4) ^{2} } } }{ \sqrt{ {b}^{2} } } \\ = \frac{4 {a}^{4} }{b} [/tex]
Hope this helps...
Good luck on your assignment...
if a 10-pound turkey costs $20.42.how much does a 21-pound turkey cost
Answer:
$42.88
Step-by-step explanation:
Let's create a proportion using the following setup:
cost/pounds=cost/pounds
We know that it costs $20.42 for a 10 pound turkey.
$20.42/10 pounds= cost/pounds
We don't know how much a 21 pound turkey costs, so we can say that it costs $x for a 21 pound turkey.
$20.42/ 10 pounds= $x/ 21 pounds
20.42/10=x/21
We want to find x, by getting x by itself.
x is being divided by 21. The inverse of division is multiplication. Multiply both sides by 21.
21*(20.42/10)=(x/21)*21
21* 20.42/10=x
21*2.042=x
42.882=x
Round to the nearest cent, or hundredth.
42.88=x
x= $42.88
A 21 pound turkey costs $42.88
I need help with this
A top costs £48 in a sale after a 20% reduction. What is the original cost of the top before the sale?
Answer:
£60
Step-by-step explanation:
Let the original cost be x.
x × (1 - 20%) = 48
0.8x = 48
x = 48/0.8
x = 60
The original cost was £60 before the sale.
Answer:
£57.60
Step-by-step explanation:
find 20% of £48, which is £9.60
then add that to £48, which will give you the answer of £57.60
In an arithmetic series, what is the sum of the first 22 terms if the first term is 12 and the common difference is 3?
Answer:
561
Step-by-step explanation:
an = dn - (a-d)
The difference is 3.
The first term is 12.
an = 3n - (12-3)
an = 3n - 9
Put n as 1, 2, 3, 4, 5 ....22.
3(1) - 9 = -6
3(2) - 9 = -3
3(3) - 9 = 0
3(4) - 9 = 3
3(5) - 9 = 6
...
3(22) - 9 = 57
Add the first 22 terms.
-6+-3+0+3+6+9+12+15+18+21+24+27+30+33+36+39+42+45+48+51+54+57
= 561
Guys I need help what is 8+[4+(-9)] please.
Answer:
-9 + 4 = 4 - 9 = -5
-5 + 8 = 8 - 5 = 3
3 is the answer
Step-by-step explanation:
8+[4+(-9)]
-9 + 4 = 4 - 9 = -5
-5 + 8 = 8 - 5 = 3
3 is the final answer.
PLEASE HELP. Thanks to the two people who have helped me on the other two maths questions today :) much appreciated. <3
Answer: hope this helps
Step-by-step explanation:
7kg of nuts = £10
350g nuts into bags= 75p
convert 7kg into g which is 7000g
then do 7000 divide by 350 which is 20
so then you do 0.75 times 20 which is £15.00
so your answer is £15.00 hope it helps
Find the sum of the arithmetic series for which a_1 = 7, n = 31, and a_n = 127.
Answer: 2077
There are 31 terms.
S₃₁ = 31(a₁+a₃₁)/2 = 31(7+127)/2 = 2077
dalanay enlarges a photograph tahst is 3 inches long and 2 inches wide. the length of the enlarged photograph is 15 inches. what is the width of the enlarged photograph, in inches?
Answer:
10 inches
Step-by-step explanation:
Length of photograph, L1 = 3 inches; Length of enlarged photograph, L2 = 15 inches; Width of photograph, W1 = 2 inches; Width of photograph, W2 = ?
Hence, L1/L2 = W1/W2
∴ W2 = (L2*W1)/L1 = (15 X 2)/3 = 10 inches
help me with trig Pls !!
using given triangle, calculate length of the altitude
hope it will be helpful.......
Pls help me with trig!!!
for 32 but if you understand 33 pls i need the help
I’m guessing number 32 is true, since it asks you to round to the nearest integer.
To solve this problem, use the Pythagorean Theorem, which is a^2 + b^2 = c^2, where c is the hypotenuse. The hypotenuse of the triangle is always the longest side, meaning the hypotenuse would be 15.23.
To ensure these measurements can be used in order to make a right triangle, substitute the numbers into the Pythagorean Theorem.
6^2 + 14^2 = 15.23^2.
36 + 196 = 231.9529
232 = 231.9529
Because we were asked to round, that makes the equation 232 = 232, meaning the answer is true.
⚠️⚠️⚠️GIVING AWAY HUGE POINTS FOR ANYONE WHO COMPLETES THIS AND GETS THEM RIGHT!!!!!!!⚠️⚠️⚠️
Answer:
The average speed for his journey from York to Blackpool is 61.4 KM/H
Step-by-step explanation:
Jo paints some tennis balls and puts them in a bag. She picks a ball at random from the bag and replaces it. She repeats this 60 times, and gets a ball not painted 50 times. Find the experimental probability of getting a painted ball from Jo's bag.
Answer:
1/6
Step-by-step explanation:
An experimental probability is the number of times an event occurred when actually attempted.
So, if Jo does the experiment 60 times and receives 50 unpainted balls, then calculate how many painted balls she got:
60-50 = 10.
So, the probability of picking a painted ball = 10/60 = 1/6
Hope this helps
If four of the exterior angles of a convex pentagon measure
60°, find the measure of the fifth exterior angle.
Answer:
120°
Step-by-step explanation:
all exterior angles of any polygon add up to 360 therefore 4 x 60 = 240
360 - 240 = 120
The measure of the fifth exterior angle is 120 degrees if the four of the exterior angles of a convex pentagon measure 60°.
What is a regular polygon?A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.
We have:
If four of the exterior angles of a convex pentagon measure 60°
The sum of the total interior angles = 360
The sum of the four of exterior angles = 4(60) = 240 degrees
The measure of the fifth exterior angle = 360 - 240 = 120 degrees
Thus, the measure of the fifth exterior angle is 120 degrees if the four of the exterior angles of a convex pentagon measure 60°.
Learn more about the regular polygon here:
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Evaluate the expression.
8! - 3!(5!)
Please help!
Answer:
39600
Step-by-step explanation:
8! - 3!(5!)
Evaluate.
40320 - 6(120)
40320 - 720
= 39600
Answer: 39600
Step-by-step explanation:
8!=40320
3!=6
5!=120
40320 - 6(120)
120*6=720
40320 - 720
= 39600
Which statement is true about the quadratic equation 8x2 − 5x + 3 = 0? The constant term is 8.
Answer:
false
Step-by-step explanation:
the constant term is 3 not 8
hope this helps
What is the smallest positive integer n for which [tex]n^{2}[/tex] is divisible by 18 and [tex]n^{3}[/tex] is divisible by 640?
Answer:
120
Step-by-step explanation:
n^2 has a factor of 18, so factors of 3^2·2. Since n^2 is a perfect square, we know n must have a factor of 3·2 = 6.
n^3 has a factor of 640, so factors of 2^7·5. Since n^3 is a perfect cube, we know n must have a factor of 2^3·5 = 40.
The least common multiple of 6 and 40 is 120.
The smallest positive integer n is 120.
_____
Check
120^2/18 = 800
120^3/640 = 2700
Jasmine knows that the area of a rectangle is the product of its base and height. Help her write an expression that represents the area of this rectangle, and then use the expression to find the area when b = 10
Answer:
Area of rectangle = H × B
Area of rectangle = 10(H)
Step-by-step explanation:
Given:
Base (B) = 10
Height = H
Find:
Area of rectangle
Computation:
Area of rectangle = Height × Base
Area of rectangle = H × B
So,
Area of rectangle = H × B [Base (B) = 10]
⇒ Area of rectangle = H × 10
⇒ Area of rectangle = 10(H)
Answer:
The expression that represents the area of this rectangle is 8b
When b = 10, the area of the rectangle is 80 square units.
Step-by-step explanation:
The rectangle’s base is b units, and its height is 8 units. The area of the rectangle is the product of its base and height, which is 8b.
To find the area of the rectangle when b = 10, substitute 10 for b in the expression:
8b= 8(10)
=80
An irregular parallelogram rotates 360° about the midpoint of its diagonal. How many times does the image of the parallelogram coincide with its preimage during the rotation?
Answer:
2
Step-by-step explanation:
The question, is basically asking for the order of rotational symmetry for the parallelogram. This is 2, which means while spinning the parallelogram around its centre point 360 degrees, it looks exactly the same, or matches with its original at 2 points
The vertex of the parabola below is at the point (5, -3). which of the equations below could be the one for this parabola?
A. x= -3(y + 4)^2 + 5
B. x = 3 (y + 3)^2 +5
C. y = -3 (x - 5)^2 - 3
D. x = 3 (y - 5)^2 - 3
Answer:
C
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Given (h, k ) = (5, - 3 ), then
y = a(x - 5)² - 3 and with a = - 3, then
y = - 3(x - 5)² - 3 ← is a possible equation
The current cost of a loaf of bread is $2.89. At the time of this writing, the CPI for bread is 323.0. What was the cost of a loaf of bread in 1983 to the nearest cent?
This is a fill in the blank problem, please help me.
Answer:
The cost of a loaf of bread in 1983 to the nearest cent is $0.89
Step-by-step explanation:
The cost of the loaf of bread in 1983 can be computed using the below formula:
cost of a loaf of bread in 1983=$2.89/current CPI *100
cost of a loaf of bread in 1983=$2.89/323*100=$ 0.89
It is obvious that the cost of a loaf of bread in the year 1983 is $0.89
Help please!!!! Thanksss
Answer:
Correct option: E
Step-by-step explanation:
The group must have 1 man and 1 woman.
So, for the woman slot, we have 4 possible choices, because we have 4 women and 1 slot to occupy.
For the man slot, we have 2 possible choices, because we have 2 men and 1 slot to occupy.
So the number of different groups we can make is the product of the number of possibilities for each slot:
Number of groups = 4 * 2 = 8
Correct option: E
Given 8x + 2 = 3 - x; x =
Answer:
x = 1/9
Step-by-step explanation:
8x + 2 = 3 - x
Add x to both sides.
9x + 2 = 3
Subtract 2 from both sides.
9x = 1
Divide both sides by 9.
x = 1/9
Answer:
x = 1/9
Step-by-step explanation:
We are given the equation:
8x + 2 = 3 - x
In order to solve for the variable x, we need to isolate it; in other words, we need to combine all the x terms and move everything else to the other side.
First, add x to both sides:
8x + x + 2 = 3
9x + 2 = 3
Now subtract 2 from both sides:
9x = 3 - 2 = 1
Divide both sides by 9:
x = 1/9
The answer is thus 1/9.
~ an aesthetics lover
Express 160 as the product of its prime factors.
Write the prime factors in ascending order and
give your answer in index form.
Answer:
Step-by-step explanation:
160 = 2 × 2 × 2 × 2 × 2 × 5
Hope this helps
plz mark it as brainliest!!!!!!!!!!
The number 160 as a product of prime factors is 160 = 2 × 2 × 2 × 2 × 2 × 5
What are prime factors?A numeral system is a way of writing numbers; it's a way of mathematically notating a collection of numbers by utilizing a consistent set of digits or other symbols. In several numeral systems, the same set of symbols may represent various numbers.
A prime number factor is any prime number that can be multiplied by the original number to get the factor.
The prime factors of the numbers will be:-
160 = 2 × 2 × 2 × 2 × 2 × 5
Therefore, the number 160 as a product of prime factors is 160 = 2 × 2 × 2 × 2 × 2 × 5.
To know more about prime factors follow
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There are several sets of different numbers which can be chosen from {0,1,2,3,4,5,6,7,8,9}. d How many sets can be formed (including empty set)
Answer:
1,024Step-by-step explanation:
The number of sets that can be generated from the given set is determined by calculating the power of the set. Power of a set is expressed as 2ⁿ where:
n represents the number of elements in the set.
Given the set S = {0,1,2,3,4,5,6,7,8,9}.
n(S) = 10
The Power of the set = 2^n(S)
Power of the set = 2^10 = 1,024
This means that 1,024 different sets can be formed from the given set including the empty set.
I NEED HELP PLEASE, THANKS! :)
Answer: proof below
Step-by-step explanation:
Use the Difference formula for sin:
sin (A - B) = sin(A)·cos(B) - cos(A)·sin(B)
sin (180° - θ) = sin(180°)·cos(θ) - cos(180°)·sin(θ)
= 0 · cos(θ) - -1 · sin(θ)
= 0 - -sin(θ)
= + sin(θ)
sin (180° - θ) = sin(θ) [tex]\checkmark[/tex]
Can any one please help me in this the teacher did not explain this it have to be in the lowest term also no decimal answer thank you please help me
Answer:
a. -5 + 3x = -41
3x = -36
x = -12
b. 7x - 4 = -2x + 11
9x = 15
x = 15/9 = 1 and 2/3
c. (-4x) / 5 = 8
-4x = 40
x = -10
d. x / 3 - 1/2 = 1/4
4x - 6 = 3 (multiply by lcm of 3, 2 and 4 which is 12)
4x = 9
x = 9/4 = 2 and 1 / 4
e. -4(6x + 1) + 3 = 11 + 2(x + 2)
-24x - 4 + 3 = 11 + 2x + 4
-24x - 1 = 2x + 15
-26x = 16
x = -8/13
Area of the cone when the radius is 4cm and the height is 12cm. Rounded to the nearest tenth
Find, in terms of π, the surface area of a sphere generated by rotating a semicircle of radius 6 inches about its diameter.
Answer:
[tex]144\pi in^2[/tex]
Step-by-step explanation:
Given
Shape: Circe
Radius = 6 inches
Required
What is the surface area of a sphere when the circle
When a circle is rotated about its diameter, the resulting sphere maintains the same radius and diameter as the circle, before rotation;
This implies that
Radius [of sphere] = 6 inches
[tex]Surfare\ Area = 4\pi r^2[/tex]
Substitute 6 for r
[tex]Surfare\ Area = 4\pi* 6^2[/tex]
[tex]Surfare\ Area = 4\pi* 6 * 6[/tex]
[tex]Surfare\ Area = 4\pi*36[/tex]
[tex]Surfare\ Area = 144\pi[/tex]
Hence, the surface area of the resulting sphere is 144 pi inches square