First we're going to change the 3 1/4 into an improper fraction.
3 1/4 is the same as 13/4
When dividing fractions, it's the same thing as multiplying by the reciprocal.
What this means is we're going to flip the second fraction.
So the original problem is this:
13/4 divided by 3/1
It now looks like this:
13/4 multiplied by 1/3
Then, simply multiply the top numbers together and then multiply the bottom numbers together.
13*1=13
4*3=12
your answer is 13/12
The National Zoo has T-shirts that regularly sell for $32. The shirts are marked 1/4 off during a Labor Day sale. What is the sale price of a T-shirt?
Answer:
The sale price of a T-shirt is $24.
Step-by-step explanation:
1/4 off=25%=0.25
0.25*32=8
32-8=24
Which layer of the atmosphere reflects radio waves back to Earth? Mesosphere Stratosphere Thermosphere Troposphere BRAINLEST
Answer:
ionosphere
Step-by-step explanation:
In radio communication, skywave or skip refers to the propagation of radio waves reflected or refracted back toward Earth from the ionosphere, an electrically charged layer of the upper atmosphere
There are total 3500 students in the freshman class.
What are radio waves?Radio waves are the electromagnetic radiations whose wave frequency lies in range of 10⁴ and 10¹¹ or 10¹² Hz. These waves are generally used in long distance communication.
Given is to find out which layer of the atmosphere reflects radio waves back to Earth.
None of the layers mentioned reflects radio waves back to Earth. Only the ionosphere reflects the radio waves back to Earth. It is a electrically conducting region extending between 80 km to 300 Km in altitude.
Therefore, there are total 3500 students in the freshman class.
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Which statement is FALSE?
A) A trapezoid with only one pair of parallel sides does not have rotational symmetry.
B) The perpendicular bisector of the base of any trapezoid is always a line of symmetry.
C) The perpendicular bisector of the base of an isosceles trapezoid is always a line of symmetry.
D) An isosceles trapezoid with only one pair of parallel sides can have only one line of symmetry.
Answer:
B.
Step-by-step explanation:
This is only true if it is an isosceles trapezium so B is false.
Final answer:
The false statement is that the perpendicular bisector of the base of any trapezoid is always a line of symmetry. This is incorrect as only isosceles trapezoids, which have two non-parallel sides of equal length, are symmetrical in this way.
Explanation:
The statement that is FALSE is: B) The perpendicular bisector of the base of any trapezoid is always a line of symmetry. This statement is incorrect because a trapezoid, by definition, has only one pair of parallel sides, and not all trapezoids are symmetrical unless specified as an isosceles trapezoid. For instance, in irregular trapezoids where the non-parallel sides are of different lengths, the perpendicular bisector of the base does not act as a line of symmetry.
Moreover, statement C, which is true, specifies the conditions under which the perpendicular bisector of the base can be a line of symmetry - that is, in the case of an isosceles trapezoid. An isosceles trapezoid is specifically designed to be symmetrical along the perpendicular bisector of its bases, given its two non-parallel sides are equal in length, unlike general trapezoids.
The estimated number of Viêtians was 1 million in 1999 and their population increases 10% a year. Complete
the table to show the population for the next 4 years after 1999.
Years since
1999
Population in
millions
1
Answer:
aaaaaaaa
Step-by-step explanation:
1. Susan decides to take a job as a transcriptionist so that she can work part-time from
home. To get started, she has to buy a computer, headphones, and some special
software. The equipment and software together cost her $1000. The company pays
her $0.004 per word, and Susan can type 90 words per minute.
a. How many hours must Susan work to break even, that is, to make enough to
cover her $1000 start-up cost?
b. If Susan works 4 hours a day, 3 days a week, how much will she earn in a
month?
Answer:
a) About 46.3 hours
b) About $1036.80
Step-by-step explanation:
a)
Break even means to make enough to cover her costs.
Given her cost is 1000, we need to find how many hours she will need to cover this up.
In 1 minute, she can type 90 words, that would pay her:
0.004 per word for 90 words = 0.004 * 90 = $0.36 per minute
Susan makes $0.36 per minute, so the amount of time (in minutes) it will take her to make $1000, is:
1000/0.36 = 2777.78 minutes
Converting that to hours, we divide by 60,
2777.78/60 = 46.3 hours
b)
4 hours per day for 3 days = 4 * 3 = 12 hours (per week)
Let there be 4 weeks in a month, so
12 hours per week * 4 = 48 hours per month
She will work 48 hours per month.
Given 90 words per minute, in 1 hour, she can type:
60 minutes * 90 = 5400 words per hour
In 48 hours, she can type:
5400 words per hour * 48 hours = 259,200 words
That would pay her:
0.004 per word for 259,200 words = 0.004 * 259,200 = $1036.80
Olivia is saving money for a vacation. She started her savings with $50 and is now saving the same amount each week. After 6 weeks, she has saved $140. How much money is Olivia saving each week?
Answer: She is earning $15 a week.
Step-by-step explanation:
Since she started with 50 dollars you need to subtract. So 140-50=90. Since she has been saving for 6 weeks, you need to divde, so 90÷6=15.
in the morning the temperature starts out around 50 F. As the day goes on, the temperature rises first slowly, then more quickly. It says constant for an hour before dropping slowly. Select the graph that best represnts this descripition.
The graph that best represents the described temperature change is Graph A.
The description provided suggests a graph of temperature change over time.
In the morning, the temperature starts around 50°F, so the initial point on the graph would be at (0, 50). As the day progresses, the temperature rises first slowly and then more quickly, indicating a steeper slope.
After reaching a peak, the temperature stays constant for an hour, suggesting a flat line parallel to the x-axis.
Finally, the temperature drops slowly, indicating a decreasing slope.
Based on this description, Graph A represents the temperature change over the day.
WILL GIVE BRAINLIEST PLEASE HELP
At a nursery, plants are half off their original price. The sale price of a potted plant is $5.50. Which equation could be used to find the original cost of the plant?
F. c/2 =$5.50
G. 2c=$5.50
H. $5.50c=2
I. 2+c=$5.50
Answer:
F, I’m not sure but i would go with F since you want the original cost or rather “c”, you want to divide that to get the $5.50 which it states that that’s the half price.
Answer:
F. c/2 = $5.50Step-by-step explanation:
sale price = $5.50
(1/2) or 50% off the price.
let c = original price
c/2 = 5.50
c = $11
so the answer is F.
Tesha withdrew $22.75 each week for four four weeks from her saving account to pay for her piano lessons. By how much did these lessons change her saving account balance?
Answer:by $91
Step-by-step explanation:
In total she withdrew $91 for her piano lessons
22.75x4=91
Answer:
91$
Step-by-step explanation:
dinner was 29.00 but I left a 25 percent tip, what did I end up paying?
Answer:
Your tip was $7.25 so you payed a total of $36.25 on your $29 bill.
Answer:
$36.25
Step-by-step explanation:
Multiply 29.00 by 0.25 to get 25% of 29.00. You would get 7.25. Then add the 25% tip to the dinner amount (29.00+7.25) and you would get 36.25.
HELP PLEASE ILL MAKE YOU BRAINLY PLEASE
Answer: (19,520-1,478) x 8
what is the area of a sector with a central angle of 8 π/11 radians and a radius of 7.2 ft? use 3.14 for π and round your final answer to the nearest hundredth. enter your answer as a decimal in the box.
this is just to help any of my fellow people who suck at math :)
Answer:
[tex]59.19 ft^2[/tex]
Step-by-step explanation:
step 1
Find the area of the circle
The area of the circle is equal to
[tex]A=\pi r^{2}[/tex]
we have
[tex]r=7.2\ ft[/tex]
[tex]\pi =3.14[/tex]
substitute
[tex]A=(3.14)(7.2)^{2}[/tex]
[tex]A=162.78\ ft^2[/tex]
step 2
we know that
The area of a circle subtends a central angle of 2π radians
so
using proportion
Find out the area of a sector with a central angle of 8 π/11 radians
[tex]\frac{162.78}{2\pi }\frac{ft^2}{rad} =\frac{x}{(8\pi/11)}\frac{ft^2}{rad} \\\\x=162.78(8/11)/2\\\\x=59.19\ ft^2[/tex]
Final answer:
The area of a sector with a central angle of 8π/11 radians and a radius of 7.2 ft, using 3.14 for π, is approximately 78.60 ft² when rounded to the nearest hundredth.
Explanation:
To calculate the area of a sector of a circle, we use the formula ½ θr², where θ is the central angle in radians, and r is the radius of the circle. For a sector with a central angle of ₈π/₁₁ radians and a radius of 7.2 ft, substituting 3.14 for π, we can find the area as follows:
Use the formula: Area = (½)(θ)(r²).
Substitute the given values to get: Area = (½)(₈π/₁₁)(7.2 ft)².
Calculating using 3.14 for π we get: Area = (0.5)*(8*3.14/11)*(7.2 ft)².
Simplify and calculate the result which gives us: Area = 78.5952 ft².
Round the final answer to the nearest hundredth: Area = 78.60 ft².
Solve each proportion. What is the soulution to M/10=10/3
Answer:
30/10=10/3
Step-by-step explanation:
because 10/3 if you multiply 3 times 10 and keep 10 and switch it around you'll get 30/10
2(n +5)= -2
I need to find the value of n
Answer:
-6
Step-by-step explanation: 2(n+5)=-2
Remove the bracket(expanding):
2×n+2×5=-2
2n+10=-2
collect like terms:
2n=-2+(-10)
2n=-12
Dividing both side by the coefficient of n i.e 2
2n/2=-12/2
n=-6
What are the zeros of the quadratic function f(x) = 2x2 + 16x – 9
Answer:
X=-4+ 41/2 SQUARED
Or
X=-4- 41/2 SQUARED
The zeroes of the quadratic equation are -
[tex]\frac{-8-\sqrt{82} }{2}[/tex] and [tex]\frac{-8+\sqrt{82} }{2}[/tex].
We have the following quadratic equation -
f(x) = [tex]2x^{2} +16x-9[/tex]
We have to find the zeroes of this quadratic function.
What is a Quadratic Equation?A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is [tex]ax^{2} +bx+c[/tex] , where a and b are the coefficients, x is the variable, and c is the constant term.
According to the question, we have a quadratic equation -
f(x) = [tex]2x^{2} +16x-9[/tex]
In order to find its zeroes, we will equate f(x) = 0. Therefore -
[tex]2x^{2} +16x-9 = 0[/tex]
Using the quadratic formula -
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Where a = 2, b = 16 and c = -9.
Substituting the values, we get -
x = [tex]\frac{-16\pm\sqrt{(16)^2-4(2)(-9)}}{2(2)}[/tex]
x = [tex]\frac{-8\pm\sqrt{82} }{2}[/tex]
Hence, the zeroes of the quadratic equation are -
[tex]\frac{-8-\sqrt{82} }{2}[/tex] and [tex]\frac{-8+\sqrt{82} }{2}[/tex].
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The French Club ordered 19 pizzas for a party. Each pizza had 6 slices. Miguel ate 8 of the slices. How many slices were left for the rest of the club?
Answer:
106 slices left
Step-by-step explanation:
To solve this we need to multiply 19 and 6:
19 * 6 = 114
there was 114 slices of pizza
next subtract 114 and 8
114 - 8 = 106
there was 106 slices of pizza left after Miguel ate 8 slices of pizza
Final answer:
After calculating the total slices from 19 pizzas and subtracting the 8 slices consumed by Miguel, there are 106 pizza slices left for the rest of the French Club.
Explanation:
The student asked about the number of pizza slices left after Miguel ate some. To calculate this, we first need to find the total number of slices in 19 pizzas, each cut into 6 slices, and then subtract the 8 slices that Miguel ate.
Calculate the total number of slices: 19 pizzas × 6 slices/pizza = 114 slices.
Subtract the slices Miguel ate: 114 slices - 8 slices = 106 slices.
So, there are 106 pizza slices left for the rest of the French Club.
what is reciprocal of 6 and 13
Answer:
Step-by-step explanation:
1/6 and 1/13
If each person drinks 8 ounces of cranberry juice how much cranberry juice is needed there is 15 people
Answer:
120 ounces
Step-by-step explanation:
92.004 as a mixed number
92.004 = 92 + .004 = 92 + 4 = 92 + 1 = 92 1
-- -- -----
1,000 250 250
Answer:
[tex]\large\boxed{92.004=92\dfrac{4}{1000}=92\dfrac{1}{250}}[/tex]
Step-by-step explanation:
[tex]92.004=92+0.\underbrace{004}_{3}=92+\dfrac{4}{1\underbrace{000}_3}=92\dfrac{4}{1000}=92\dfrac{4:4}{1000:4}=92\dfrac{1}{250}[/tex]
A rectangular yard measuring 26 ft by 36 ft is bordered (and surrounded) by a fence. Inside, a walk that is 2 ft wide goes all the way along the fence. Find the
area of this walk. Be sure to include the correct unit in your answer.
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Answer:
232 square feet
Step-by-step explanation:
The outside dimensions of the yard are 26 ft by 36 ft, so its total area is ...
yard including walk = (26 ft)(36 ft) = 936 ft²
The dimensions of the yard inside the walkway are 22 ft by 32 ft, so that area is ...
yard not including walk = (22 ft)(32 ft) = 704 ft²
The difference in these areas is the area of the walkway:
walkway area = (yard including walk) - (yard not including walk)
= (936 -704) ft² = 232 ft² . . . . area of the walk
_____
Another way to figure this is to consider the length of the centerline of the walkway. That is the perimeter of a rectangle that is 24 ft by 34 ft. The perimeter (centerline length) is 116 ft, and the width of the walk is 2 ft, so its area is ...
(116 ft)(2 ft) = 232 ft²
A restaurant took 1/9 of an hour to use 1/8 of a package of napkins. At this rate, how many hours would it take to use the entire package
Answer:
8/9hrs
Step-by-step explanation:
if 1/8 takes 1/9hrs
since there are 8 fractions , the entire package will take 1/9*8hrs
I need help with Law of Sines; I posted pictures but I need help ASAPP
Answer:
B = 26.407 degrees
C = 73.593 degrees
c = 30.196 units
Step-by-step explanation:
Use the law of sines
sin(B) / 14 = sin(80) / 31
B = sin-1( sin(80) / 31 x 14)
B = 26.407
C = 180 - 80 - 26.407
C = 73.593
c / sin(73.593) = 31 / sin(80)
c = 31 / sin(80) x sin(73.593)
c = 30.196
The sum of two numbers is −102. One number is 62 less than the other. Find the numbers.
The two numbers are -20 and -82. By creating two equations x + y = -102 and x = y - 62, substitute for x in the first equation and solve for y, then substitute y back into the second equation to solve for x.
Explanation:To solve the problem, you can create two equations using the given information.
The sum of the two numbers is -102, so if you call the two numbers x and y, you have: x + y = -102 . One number is 62 less than the other, so: x = y - 62.
You can now substitute the equation from step 2 into equation 1:
(y - 62) + y = -102.
Combine like terms:
2y - 62 = -102.
Then add 62 to both sides of the equation:
2y = -40.
Finally, divide both sides by 2:
y = -20.
Substitute y = -20 back into x = y - 62:
x = -20 - 62 = -82.
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Brianna spent 4.00$ on admission to a basketball game she also spent some money at the concession stand in all Brianna spent 16.00$ at the basketball game write an algebraic equation to model the situation
Answer:
4 + x = 16
Step-by-step explanation:
In general, if we have an equation that has just one variable, such as x, then "solving the equation" means finding the set of all values that can be substituted for the one variable to produce a valid equation.
Isolate "x" on one side of the algebraic equation by adding the negative number that appears on the same side of the equation as the "x." For example, in the equation "x - 5 = 12", rewrite the equation as "x = 12 + 5" and solve for "x."
Pizza Rama sells large pizzas for $8.99 each with a delivery fee of $3 per order. Which equation can be used to find y, the total price of the order for x pizzas?
a. y = 11.99x
b. y = 3x + 8.99
c. y = 8.99x - 3
d. y = 8.99x + 3
Answer:
y=8.99+3
Step-by-step explanation:
we will make
x=how many large pizzas are sold
and a flat fee of $3 because they did delivery and do not pick it up them selves
so it would look like this
y=8.99x+3 to find the total cost
and it's not
y=8.99x-3 because they are not getting $3 dollars off their purchase!
What is the equations of the line that has a slope of 2 and passes through the point (6,2)
Answer:
y-2=2(x-6)
Step-by-step explanation:
y-y1=m(x-x1)
m=2
y-2=2(x-6)
PLEASE HELP ME ITS ALREADY LATE AND ITS BRINGING MY GRADE WAY DOWN PLEASE HELP ME PLEASE!!!!
The following graph is of an exponential function of the form y=a*bx.
What values of a and b would make this equation work?
a=
b=
Answer:
I think A=8 and B would = 2(where the curve is)
hope this helps you!
(p.s;please mark me as brainlyest)
Step-by-step explanation:
ask me if you want/need the explanation
Henry is playing with a standard deck of cards. What is the probability that the next card he flips over is a jack or red?
Answer:
0.54
Step-by-step explanation:
In Probability "OR" means "ADDITION" and "AND" means "MULTIPLICATION"
Here, we want probability of Jack "OR" Red, so we find individual probabilities and then "ADD" them.
There are 26 cards that are RED, half of the deck. So probability of RED CARD is:
P(red) = 26/52 = 1/2
Now, there are 4 Jacks in the whole deck, 2 red Jack and 2 black Jack. We already accounted for the 2 red jacks, so we have 2 black Jacks at hand. So
P(Jack) = 2/52 = 1/26
Now, we add the 2 probabilities:
P(jack or red) = 1/2 + 1/26 = 13/26 + 1/26 = 14/26 = 0.54 (rounded to 2 decimal places)
Which of the following does NOT have a value of -5?
F. 1/4 - 5 1/4.
G. -10 ➗ 2
H. -20 x 0.25
J. -13 + 18
Answer:
J
Step-by-step explanation:
All of the other ones have a value of -5 except for J which has a value of 5.
What is the only prime number that is a factor of 16
The only prime number that is a factor of 16 is 2, since 16 is a power of 2 (2⁴).
Explanation:The student has asked to identify the only prime number that is a factor of 16. To find the factors of 16, we can break it down into its prime factors. The prime factorization of 16 is 2×4×4, which reduces further to 2×2×2×2 or 24. Since the prime factors of 16 are all 2s, the only prime number that is a factor of 16 is 2. It's important to note that a prime number is defined as a number that has exactly two distinct positive divisors: 1 and the number itself. In the case of 16, 2 is the only prime number that fits this definition and is a factor.