Given:
The given expression is:
[tex]\dfrac{-2}{3}\times \dfrac{5}{7}\times \dfrac{-9}{16}\times \dfrac{14}{25}[/tex]
To find:
The value of the given expression.
Solution:
We have,
[tex]\dfrac{-2}{3}\times \dfrac{5}{7}\times \dfrac{-9}{16}\times \dfrac{14}{25}[/tex]
It can be written as:
[tex]=\dfrac{-2}{3}\times \dfrac{5}{7}\times \dfrac{-3\times 3}{2\times 2\times 2\times 2}\times \dfrac{2\times 7}{5\times 5}[/tex]
[tex]=\dfrac{-2\times 5\times (-3)\times 3\times 2\times 7}{3\times 7\times 2\times 2\times 2\times 2\times 5\times 5}[/tex]
Cancel out the common factors.
[tex]=\dfrac{-(-3)}{2\times 2\times 5}[/tex]
[tex]=\dfrac{3}{20}[/tex]
Therefore, the value of given expression is [tex]\dfrac{3}{20}[/tex].
There are 4 third grade classrooms that share 9 packs of paper. How much paper should each classroom
get?
Answer:
2.25 packs of paper/ classroom
Step-by-step explanation:
9 packs of paper/ 4 classrooms
9/4
2.25
Write a unit rate that compares 48 kids to 6 teams.
(Answer in the form of a:b)
a : b = 8 : 1
Answer:
kids : teams
a : b
48 : 6
( 48 : 6 ) ÷6
8 : 1
Find the surface area of the cone. Round your answer to the nearest tenth..
Answer:
S.A. = 15.7
Step-by-step explanation:
S. A. = [tex]\pi r^{2} + \pi rl[/tex]
1 x 1 x 3.14 = 3.14
3.14 x 1 x 4 = 12.56
12.56 + 3.14 = 15.7
Find the area of the composite figure
Answer:
The answer is 180ft
Step-by-step explanation:
The reason the answer is 180ft is because your using area which means your are multiplying all your answers.
Write the equation of the line in slope- intercept form
Answer:
y=8x+1
Step-by-step explanation:
y=mx+b
m=rise/run=(8)/(1)=8
y=8x+b
b is the y-intercept
y=8x+1
You ask learners to select their course section number for your survey. For example, (1) 101, (2) 102, (3) 103. What type of variable is course section in this example?
Answer:
The variable is a nominal categorical variable
Step-by-step explanation:
As the 3 options are available and the survey taker is required to select from these options, this indicates that the variable is of categorical nature, where only a fixed number of options are available. As the order is not important thus the variable is a nominal categorical variable.
A scientist keeps track of bacteria cells. She starts with 1 cell. After one hour, there are 2 cells. The number of cells continues to double in each of the following hours
Answer:
the number of cells increases by a factor of 2.
Explanation:
the number of cells doubles with each hour, which means that they are multiplied by 2. thus, the number of cells increases by a factor of 2.
i hope this helps! :D
Answer: The number of cells increases by a factor of 2.
After four hours, the number 2 is used as a factor 4 times.
Step-by-step explanation: The cells multiply by 2, and make double the amount of cells.
The number 2 is used 4 times after 4 hours to make 16 cells.
The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger figure.
hhh
Step-by-step explanation:
PLEASE HELP
The graph shows the distance Nathan rode his bicycle over a period of time
Answer:
15 miles an hour
Step-by-step explanation:
Solve for angle x please help fast
Answer:
X=18
Step-by-step explanation:
you can find what the missing angle is by subtracting 92 from 180 since its a straight line. After putting in the missing angle you can easily solve for 2X which is 36 and then divide by 2 and get 18.
Answer:
x = 23
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
92° is an exterior angle of the triangle, then
2x + 46 = 92 ( subtract 46 from both sides )
2x = 46 ( divide both sides by 2 )
x = 23
HELPPP ME I WILL MARK GOOD
Answer:
surface area≈126.65
Step-by-step explanation:
A=2AB+(a+b+c)h
AB=s(s﹣a)(s﹣b)(s﹣c)
s=a+b+c
2
Solving forA
A=ah+bh+ch+1
2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=5·7+5·7+5·7+1
2·﹣54+2·(5·5)2+2·(5·5)2﹣54+2·(5·5)2﹣54≈126.65064
please help giving brainliest!
Answer:
0.20
Step-by-step explanation:
total of marbles
= 6 + 4 + 3 + 2
= 15
the probability of blue
= 3/15 × 100%
= 20%
= 0.20
How much sales tax would you pay for a $55 pair of roller blades if the tax rate is 6.625%?
Answer:
≈ 3.64 sales tax
Step-by-step explanation:
55 × 0.06625 = 3.64375
I Need help fast please answer
Answer:
Top choice, A.
Step-by-step explanation:
Count the dots
Answer:
its choice A
Step-by-step explanation:
An ice machine uses 3 gallons of water every 9 hours How many gallons of water does it use each hour? How many hours does it
take to use one gallon?
A)gallon per hour, 1 hour
B)gallon per hour; 3 hours
C)3 gallons per hour, 1/9 hour
D) 1/3 gallon per hour
1/3 hour
Answer:
1/3 gallon per hour, and it takes 3 hours to use one gallon
Step-by-step explanation:
Simplify the ratio
3-9
Which simplifies to
1-3
———————————————
What is the perimeter of this
26ft+17ft+25ft
=68ft
The perimeter is 68 ft
Answer:sorry I don’t know
Step-by-step explanation:
please help 20 points
no files please! thanks
Answer:
y = [tex]-\frac{1}{3}[/tex]
[tex]2\frac{2}{3}=x[/tex]
Step-by-step explanation:
To solve a system of equations, solve one or both of the equations for the same variable. Then multiply one of the equations such that the coefficients of one variable are the additive inverse of the variable in the other equation. After doing so, add the two equations, then solve for the other variable using inverse operations. Finally, substitute the value of the other variable into one of the original equations in the system and solve for the unknown variable.
2x + y = 3
y = x - 2
First, manipulate the first equation such that the equation is solved for (y), this can be done using inverse operations,
y = 3 - 2x
y = x - 2
Now multiply the second equation by (2) so that the (x) coefficients are additive inverses of each other,
y = 3 - 2x
2y = 2x - 4
Add the equations,
3y = -1
Inverse operations,
3y = -1
/3 /3
y = [tex]-\frac{1}{3}[/tex]
Now back solve, substitute the value of (y) into the equation and solve for (x),
[tex]y=x-3\\[/tex]
Substitute,
[tex](-\frac{1}{3})=x-3[/tex]
+3
[tex]2\frac{2}{3}=x[/tex]
A diagonal of a square is 20cm long. How long is each side
Answer:
Diagonal of square = 20 cm. = 200 cm². Side = 10√2 cm
Step-by-step explanation:
Answer:3
Step-by-step explanation:divide
What is the area of the figure shown? 3 in. 10 in. 5 in. 10 in.
Please I need help—
Answer:
65 in²Step-by-step explanation:
The total area is the sum of the areas of the rectangle and the triangle:
5*10 + 1/2*10*3 = 65 in²Answer:
area of figure =area of (rectangle+TRAINGLE)
=l×b+1/2 p×b=10×5+1/2 ×3×10=50+15=65 inch² is your answer
Dave learned a total of 10 appetizer recipes over the course of 5 weeks of culinary school.
After how many weeks of culinary school will Dave knov a total of 12 appetizer recipes?
Assume the relationship is directly proportional.
Answer:
4.8
Step-by-step explanation:
Answer:
6 weeks
Step-by-step explanation:
(12/10)5 = 6 weeks
1.55 años = ____ horas
6. 8 pies = ______metros
150 libras = ______ gramos
36 horas = _______ segundos
25 millas = _______ metros
Answer:
1. 13578 hours
2. 2.07264 m
3. 68038.856 grams
4. 129600 seconds
5. 46,300 Meters
Step-by-step explanation:
Don't forget me to mark me as brainliest ☺
Answer:
1. 13578 hours
2. 2.07264 m
3. 68038.856 grams
4. 129600 seconds
5. 46,300 Meters
Step-by-step explanation:
Don't forget me to mark me as brainliest ☺
use distributive property to rewrite 8(x+3)
Answer:
8x + 24
Step-by-step explanation:
1. 8(x + 3) - Distribute
2. 8x + 24 - Answer
Please help I really need help
Answer:
-23
Step-by-step explanation:
16 x 1/4^2 - 4 x 6 = -23
Please help me. I will marks as Brainly if correct
NEED HELP ASAP
What type of function is this: y = 4X ?
1:Quadratic
2:Exponential Growth
3:Exponential Decay
4:Linear
Answer:
Its linear
Step-by-step explanation:
the intercept is 0,0 and the it grows by 4. there is 1,4 2,8 and it goes on and on
what is 34 divided by 5
Answer:
6.8
Step-by-step explanation:
The solution is : 6.8 is the decimal when 34 divided by 5.
Here, we have,
given that,
34 divided by 5
Given the following mathematical expression;
34 / 5
We would apply the law of division for fractions.
34 / 5
= 34 ÷ 5
= 6.8
the decimal form.
Hence, The solution is : 6.8 is the decimal when 34 divided by 5.
To learn more on division click:
brainly.com/question/21416852
#SPJ6
Jake is building a fence around his property. He wants the perimeter to be no more than 100 feet. He also wants the length to be at
least 10 feet longer than the width. If he builds his fence according to these limits, which would be the maximum possible width of
the fence?
Answer:
C
Step-by-step explanation:
Let the length be l and width be w.
The perimeter will be 2 lengths + 2 widths = 2l+2w
2l+2w cannot be more than 100ft
[tex]21+2w \leq 100[/tex]
Also, the length has to be at least 10ft longer than the width.
[tex]l\geq w+10[/tex]
If we substitute w=20, l=30. 2l+2w can be equal to 100 but not over it.
If w=20 and l=30, 2w+2l = 40+60 = 100.
Hence the maximum length of the width of the fence is 20 ft. C
What is the mean of the data set?
{21, 23, 25, 25, 26, 28, 28, 28, 31, 33}
A.26.8
B.27
C.27.8
D.28
Answer:
A. 26.8
Step-by-step explanation:
268/10
Trains Two trains, Train A and Train B, weigh a total of 508 tons. Train A is heavier than Train B. The
difference of their weights is 440 tons. What is the weight of each train?