Write the expression 6
7
12
in radical form.
To write the expression [tex]6 \frac{7}{12}[/tex] in radical form.
To express the radical form in simplest it just means simplifying the radical so that there are further no more square root, cube root etc.
Use the rule:
[tex]a\frac{x}{y}[/tex] = [tex]\sqrt[y]{a^{2} }[/tex]
Apply this rule on the the given expression:
[tex]6\frac{7}{12} = \sqrt[12]{6^{7} }[/tex]
Therefore, the expression in radical form is [tex]\sqrt[12]{6^{7} }[/tex]
SYSTEN
REV.
REF. DWG. OR B/M
DATE:
Adrian and Jeremy are running around a track. It takes Adrian 15 minutes to
run around the track one time. It takes Jeremy 18 minutes to run around the
track once. How many minutes would it take for both boys to return to the
starting point at the same time?
How do I solve this?
Using the least common factor, it is found that it would take 90 minutes for both boys to return to the starting point at the same time.
How do we find the least common factor of two amounts?To find the least common factor, we factor the numbers by prime factors, and then multiply these factors.
The lcm represents the periodicy, that is, when two periodic amounts will be at the same value.
In this problem, the periods are of 15 minutes and 18 minutes, hence:
15 - 18|2
15 - 9|3
5 - 3|3
5 - 1|5
1 - 1
Hence:
lcm(15,18) = 2 x 3 x 3 x 5 = 90.
It would take 90 minutes for both boys to return to the starting point at the same time.
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Answer number 7 please thank you
Answer:
[tex] \frac{25}{100} \times 1.20[/tex]
It costs the same to produce both packages, so the company wants to reduce the amount of wasted space, or space not taken by the balls. which package should the company choose? the cylinder because it has about 27.5 in.3 less wasted space than the prism the cylinder because it has about 61 in.3 less wasted space than the prism the prism because it has about 22.5 in.3 less wasted space than the cylinder the prism because it has about 67 in.3 less wasted space than the cylinder
The package which the company should choose if it costs the same to produce the two products is the cylinder because it has about 27.5 in.3 less wasted space than the prism.
What is the Cost of Production?The term "cost of production" refers to all the costs that are involved when a company offers a service or manufactures a product.
Costs of production relate to the different expenses that a firm faces in producing a good or service.
This refers to the amount which is used to produce a good.
With this in mind, we can see that there are the given dimensions for the square prism and cylinder from the complete question.
Hence, because they cost the same, choosing the cylinder is the best choice because of the less wasted space than the prism.
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Answer:
It's A
Step-by-step explanation:
-8x+19<-13 Solve inequalities
[tex]~~~-8x +19 < -13\\\\\implies -8x < -13 -19\\\\\implies -8x < -32\\\\\implies x > \dfrac{-32}{-8}\\\\\implies x > 4[/tex]
A railroad crew can replace 360 meters of rails in 6 days. How many kilometers of rail can they repair in 25days
The railroad crew repair 1500 km in 25 days if the railroad crew can replace 360 meters of rails in 6 days
What is a fraction?Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
A railroad crew can replace 360 meters of rails in 6 days.
Let's suppose the x kilometers of rail they can repair in 25v days
Per day they repair = 360/6 = 60 km/day
Then the x can be found:
x = 60×25
x = 1500 km
Thus, the railroad crew repair 1500 km in 25 days if the railroad crew can replace 360 meters of rails in 6 days.
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Similar Shapes and Scale Drawings
Practice and Problem Solving: C
A rectangular tarp is 2 times as long as it is
wide. Its width is 8 yards. What is the area
of the tarp?
24 sq. yards
hope it helps...!!!
Can someone pls help ?!
Answer:
120 cubed inches
Step-by-step explanation:
5 x (3 x 8)
5 x 24
120
Answer:
Step-by-step explanation:
Volume of rectangular prism = lwh
= 8 * 3 * 5
= 120 cubic inches
three and seven ninths multiplied by five.
Answer:
22
Step-by-step explanation:
Answer:
18 8/9
Step-by-step explanation:
3 7/9 =[ (3*9) + 7] / 9
= 34/9
So we have 5 * 34/9
= 170/9
= 18 8/9.
The area of a trapezoid is 260 cm2. If the bases have lengths of 12 and 14, what is the height?
a 10
b 15
c 20
d 13
X Find the length and width of a rectangle whose width is 10 cm shorter
than its length and whose area is 200 cm squared. What is the SUM of
the length and width?
Answer:30
Step-by-step explanation: length is 20, Width is 20-10 =10
Area = 20×10=200
Thang decided to borrow $5000 from his local bank to help pay for a car. His loan was for 3 years at a simple interest rate of 9%. How much interest will Thang pay?
Answer:
$1350
Step-by-step explanation:
Simple Interest = Deposit ×Rate/100×Time
SI=5000×9/100×3
=$1350
2(x−3) = 2x + 15 how many solutions
Answer:
0
Step-by-step explanation:
2x-6=2x+15
2x-2x=15+6
0x/0=21/0
x=0
Distributive Property to find (a+8)(a-3)
Answer:
[tex]a^{2} + 5a -24[/tex]
Step-by-step explanation:
For the distributive property, it is like multiplying each term by the other whole group.
For this problem we can set it up like this:
a(a-3) + 8(a-3) =
a^2 - 3a + 8a - 24 =
a^2 + 5a - 24
I need help, if you give answer ASAP I’ll reward a lot of points!!
Answer:
A = 31.875 inches squared
Step-by-step explanation:
Area of a parallelogram is bh
b = 12 and 3/4 is just 12.75 inches
h = 2 and 1/2 is just 2.50 inches
Multiply these together and you get the area,
A = (12.75)(2.50) = 31.875 inches squared
Answer:
31.875 (31.88 rounded)
Step-by-step explanation:
A =b x h
A =12.75 x 2.5
A = 31.875
----------------------
12.75 = 12 [tex]\frac{3}{4}[/tex]
2.5 = 2[tex]\frac{1}{2}[/tex]
2. If you have an average of 82 after 4 math tests, what do you need on the 5th test to increase your average to 85?
a. 88
b. 92
c. 95
d. 97
Answer:
A
Step-by-step explanation:
you dont need much to bring an 82 to an 85
42+5t=8t
Solve the equation
WHAT DO I DO????!!!
A circle has a circumference of 8 centimeters. What is the circle's
diameter? Use 3.14 for pi and round your answer to the nearest tenth.
PLS HELP!!! No links pls and ty <3
Formula for the Circumference of a Circle = pi x diameter
---The diameter is the same thing as 2 x radius
Circumference = 8
pi = 3.14
Diameter = d
---First, plug in what we know
8 = 3.14 x d
---Divide by 3.14 to get d by itself
d = 8 / 3.14 = 2.54777
---Round to the nearest tenth
d = 2.5 cm
Hope this helps!
d=2.5
Solution:Circumference:C=πd8=πdSince we can't simplify this equation yet, we can divide both sides by 3.14 (which is the same as pi) in order to isolate d:8÷3.14=dd=2.5Hope it helps.
Do comment if you have any query.
The PE room at school has a variety of colored balls that can be used to play in the school yard. There are 16 red balls, 12 orange balls, 8 yellow balls, and 11 pink balls.
What is the probability that you are going to get a BROWN ball?
Answer:
0%
Step-by-step explanation:
There are no brown balls, so therefore it is impossible to get one.
PLEASE HELP!!
BRAINLIEST
Answer:
Step-by-step explanation:
BRAINLIEST
Solve for x
3(3x-2)=39
Answer:
3(3x-2)=39
9x-6=39
9x=39-6
9x=33
x=33/9
x=11/3
Answer:
x=5
Step-by-step explanation:
First, distribute the left side. 3(3x-2)=39 3 x 3x=9x 3 x -2=-6 m So, we get 9x-6=39
Next, we add six to both sides. We get 9x=45.
Lastly , we divide both sides by 9 and get x=5.
Plug x=5 into the place where x is to check your work. 3(3(5) - 2)=39
3(15-2)=39 3(13)=39 39=39 Since 39 is equal to 39, the equation is true.
A regular decagon has a radius of 8 cm. what is the approximate area of the decagon? recall that a decagon is a polygon with 10 sides.
The approximate area of the decagon with a side of 8cm is 492.37 cm².
Given side of the regular decagon = 8cm
What is a regular decagon?A decagon is a polygon with 10 equal sides.
We know that area of a regular decagon with side a is given by:
[tex]A=\frac{5}{2} a^{2} \sqrt{5+2\sqrt{5} }[/tex]
So, the area A of the regular decagon with a side of 8cm=[tex]\frac{5}{2} 8^{2} \sqrt{5+2\sqrt{5} }[/tex]
[tex]A=160\sqrt{5+2\sqrt{5} }[/tex]
A=492.37 cm²
Therefore, the approximate area of the decagon is 492.37 cm².
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100 points pls :/ Using the two-way table, what percentage of the students that like to travel out of state do not like camping? Round to the nearest whole percent.
Likes Traveling Out of State Does Not Like Traveling Out of State Row totals
Likes Camping 52 38 90
Does Not Like Camping 36 74 110
Column totals 88 112 200
30%
33%
36%
41%
Answer:
41%
Step-by-step explanation:
step one to determine what the fraction would be you just read the question: first you have to see what they want to calculate the percentage of. In this case it's students who like traveling out of state but don't like camping. 88 students like traveling out of state and 36 of those students don't like camping so the fraction you have to use is 36/88 step two next you multiply your fraction by 100 to calculate your percentage 36/88×100= 40.9% step three since you have to round to the nearest whole percent your answer would be 41%
1335+0540 what is the answer
Answer:
1875
Step-by-step explanation:
1335 + 0540 = 1875
Answer:
1,875
Step-by-step explanation:
[tex]1335 + 540 = 1,875[/tex]
Hope this helps! : )
The manager of a restaurant chain wants to know how many times per month diners come to his restaurant. The table shows the number of visits in one month for three samples of 10 randomly chosen diners.
A table with three rows. Title. Text that reads: Number of visits to restaurant in one month. Row one. Text that reads: Sample 1. 5, 2, 6, 4, 4, 7, 2, 1, 2, 3. Total = 36. Row two. Text that reads: Sample 2. 2, 6, 1, 3, 4, 5, 2, 1, 5, 4. Total = 33. Row three. Text that reads: sample 3. 3, 3, 6, 4, 1, 5, 3, 4, 4, 5.
Answer the questions to find the means, compare the samples, and make a prediction.
1. What are the means of Samples 1 and 2? Show your work. (3 points)
2. What is the mean of Sample 3? Show your work. (3 points)
3. Based on the data, would you predict that, in one month, the average diner would visit the restaurant fewer than 3 times, 3 or 4 times, or, about 4 times? Explain your reasoning. (4 points)
The means of samples 1 and 2 is 3.45. The mean of sample 3 is 3.8. Based on the data, the average diner would visit the restaurant 3 or 4 times.
What is the mean of a sample?The mean of a sample is the average of all the data sets given in the sample. The mean of a sample is useful in calculating population averages, central tendency, standard deviation, etc.
Mathematically, the mean of a sample can be expressed as:
[tex]\mathbf{\overline X =\dfrac{sum \ of \ the \ terms }{no \ of \ terms } }[/tex]
[tex]\mathbf{\overline X =\dfrac{\sum X}{N} }[/tex]
The mean of sample 1 is given = 36The mean of sample 2 is given = 33Thus, the means of samples 1 and 2 is:
[tex]\mathbf{\overline X =\dfrac{36+33}{20} }[/tex]
[tex]\mathbf{\overline X =3.45}[/tex]
The mean of sample 3 is:
[tex]\mathbf{\overline X =\dfrac{3+3+6+4+1+5+3+4+4+5}{10} }[/tex]
[tex]\mathbf{\overline X =3.8}[/tex]
Based on the data, the average diner would visit the restaurant 3 or 4 times, because the mean of the samples lies between 3 to 4.
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Tammy received a $70 gift card for a coffee store. She used it in buying some coffee that cost $8.41 per pound. After buying the coffee, she had $19.54 left on her card. How many pounds of coffee did she buy?
Total money Tammy has = $70
Money she is left with now = $19.54
Therefore, the money she used on coffee =
70 - 19.54 = $50.46
Now,
1 pound coffee costs $8.41
Pounds of coffee she bought = 50.46 ÷ 8.41
= 6 pounds
this is really confusing pls help! :)
Alice was sitting on a dock looking at a lake. She picked up a stone and through it in the air and out
toward the lake. It seemed like it was in the air for a long time. The equation that can be used to
model the height of the stone (in feet) as it relates to the time in the air in seconds) is given by
h(t) = 5 + 50 - 16t2. In order to solve for how long the stone was in the air, Alice will need to use the
quadratic equation which is:
|-bb4ac
2a
X
A quadratic equation is in the form of ax²+bx+c. The time for which the stone was in the air is 3.526.
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers.
It is written in the form of ax²+bx+c.
As the height of the stone will be zero or can say that the stone will be at the ground in only two conditions. When the stone will be just thrown and when the stone will complete its flight. Therefore, we can substitute the value of heigh h in the function as 0 to get those two timings.
[tex]h(t) = 5 + 50t - 16t^2\\\\0 = 5+50t - 16t^2[/tex]
Substitute the quadratic equation in the formula of the root of the quadratic function,
[tex]x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\t = \dfrac{-50\pm\sqrt{(50)^2-4(-16)(5)}}{2(-16)}\\\\t= -0.089, 3.526[/tex]
Hence, the time for which the stone was in the air is 3.526.
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Please, help me. anyone?