Answer:
5/36
Step-by-step explanation:
4: From each corner of a square table a quarter of a circle is cut off. The sides of the square table are 5 cm. Each of the circular parts have a radius of 1 cm. Find the area of the shaded part of the square table in cm2.
The figures were not drawn to scale.
Answer: (25 – π)
There are 200 Counters in a bag. 50 of them are taken out. And have a dab of white paint placed on them. these 50 marked counters are now put it back in the bag which is given a good shake. 80 counters are now taken out. About how many of them would you expect to be marked with a dab of white paint?
Answer:
20 Counters
Step-by-step explanation:
Total number of counter in a bag= 200 Counters
If 50 Counters out of the total have white paint, the value is then represented as
= 50/200
=1/4
The initial 50 Counters taken out is then put in the bag again and mixed thoroughly to get an even distribution.
If 80 Counters are taken out of the bag, the value is represented as
= 1/4×80
=80/4
=20
Therefore, 20 Counters are expected to be marked with a dab of white paint.
solve the inequality 4 - x < 9
Answer:
x > - 5
Step-by-step explanation:
[tex]4 - x < 9 \\ - x < 9 - 4 \\ - x < 5 \\ \red{ \boxed{ \bold{ x > - 5}}}[/tex]
The inequality 4 - x < 9 is x > -5.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
4 - x < 9
Adding x on both sides.
4 < 9 + x
Subtracting 9 on both sides.
4 - 9 < x
-5 < x
x > -5
Thus,
x is greater than -5.
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How many solutions are there to this system of equations?
A) One solution
B)No solution
C)Infinitely many solutions
D)It cannot be determined without solving it.
First-line - y = 1/4 (x - 4)
Second-line = y = 1/4x - 1
Answer:
one
Step-by-step explanation:
number 19 very much need the answer please
Answer:
D not possible.........
6) The Artisan Pizza Co sells take-out pizza in two shapes: an "individual” 6-in. square slice and a circular "party"
wheel with an 18 in. diameter. The party wheel is cut into 8 slices/sectors for the customer. An individual square
slice costs $2.95 and the entire party wheel costs $15.95.
a. Which is larger: The square slice or one section of the party wheel?
b. Which option has a better value? (Hint: you are comparing the cost and area for the square slice and the
cost and area for the WHOLE party wheel...not just a slice)
Answer:
132
Step-by-step explanation:
A contractor bought 44 boxes of nails at a price of $1 per box. Each box
contained contained 56 nails. If he distributed the nails to the 4 houses he
was building and made sure each house received the same number of
nails, how many nails would each house get?
Answer:
616 nails
Step-by-step explanation:
No. of nail box bought = 44
No. of nail in each box = 56.
Total no of nail in 44 box = No. of nail box bought * No. of nail in each box
= 44 * 56 = 2,464
These nails were distributed in 4 houses equally.
Let no. of nail distributed in 1 houses be x.
Thus, total nails distributed in 4 houses equally = 4x.
These 4x nail should be equal to Total no of nail in 44 box
4x = 2464
=> x = 2464/4 = 616
Thus, each house would get 616 nails.
Find the area of the shaded regions:
The pink is the shaded region.
40π
You dont need paper hw since we're in quarantine
Answer:40
Step-by-step explanation:
A car wash charges two prices depending on the size of the vehicle. The table shows the number of cars and the number of SUVs washed in the past 3 hours. The total earnings for hours 1 and 2 are given. Each car costs the same price, and each SUV costs the same price. The system of equations can be used to represent the situation.
In the system of equations, x represents the, _____and y represents the_____.
If the system of equations is graphed in a coordinate plane, the coordinates (x, y) of the intersection of the two lines are______.
The total cost of 1 car and 1 SUV is $_____.
The total earnings for hour 3 are $______.
Chart:
Hours | Number of Cars | Number of SUVs | Total Earnings of Hour ($) |
1 4 2 84
2 3 5 126
3 5 4 ?
4x + 2y = 84
3x + 5y = 126
Answer:
1. cost of each car
2. cost of each SUV
3. (12,18)
4. $30
5. $132
Step-by-step explanation:
In the system of equations,x represents the cost of each car and y represents the cost of each SUV
If the system of equations is graphed in a coordinate plane, the coordinates (x, y) of the intersection of the two lines are (12,18)
The total cost of 1 car and 1 SUV is $30
The total earnings for hour 3 are $132
At the movie theatre, child admission is $5.60 and adult admission is $8.80. On Saturday, 146 tickets were sold for a total sales of $1067.20. How many adult tickets were sold that day?
Answer: 68 adult tickets were sold and 78 child tickets were sold.
Step-by-step explanation:
a + c = 146 where a is the number of adults tickets sold and c is the numbe rof child tickers sold.
5.60 a+ 8.80c= 1067.20
a + c = 146
5.60a + 8.80c = 1067.20 solve by elimination.
a=68
c =78
Which shape is NOTa trapezoid
Answer:
The bottom left
Step-by-step explanation:
it has no pairs of parallel sides
Answer:
Step-by-step explanation:
Trapezoid should have a pair of parallel lines.
Bottom left figures does not have parallel lines. So it is not a trapezoid.
You are holding a kite string in your hand. The angle of elevation from your hand to the kite is 44º and the distance to the kite is 250 feet.
Your hand is 5 feet above the ground. How high is the kite? Round your answer to the nearest tenth of a foot.
feet
22. One factor of x² + 2x - 8 is
Answer:
(x-2)(x+4)
Step-by-step explanation:
x² + 2x - 8 = x² + 2x +1 - 9 = x² + x +x+1 - 9 = x(x+1) +(x+1) - 9
= [tex](x+1)^{2}[/tex] - [tex]3^{2}[/tex]
= (x+1-3)(x+1+3)
= (x-2)(x+4)
Does anyone know this
Answer:
It is A
Step-by-step explanation:
The square route of 174 is 13.190906. Didn't use a calculator.
what is the sum of the fractions below?
2/3 +3/4
Answer:
17/12 or 1 5/12
Step-by-step explanation:
A rectangular prism has the dimensions of 2in, 5in, and 7in. What is the volume of the prism?
Simplify
(3^5)2
3-^2
Answer:
2(3^5) = 6^5
Step-by-step explanation:
Answer:
3^12
Step-by-step explanation:
I inputted the equation into a calculator
Got 531441
And tried each option to see if the answers matched
The graph of the function, f(x) = - x2 - 3x + 1, opens and has a, value.
Answer:
downward, maximum value
Step-by-step explanation:
f(x) = - x^2 - 3x + 1
The negative in front of the x^2 means the graph opens downwards
The y intercept is 1
Because it opens downward it has a maximum value
Answer:
Opens downwards and has a maximum value
Step-by-step explanation:
f(x) = -x² - 3x + 1
a is the coefficient of x², which is -1
Since a < 0, it's a concave down graph which opens downwards. Therefore it has a maximum turning point
one hundred fifty moviegoers were surveyed, 20% said they would recommend the movie they just saw. how many of the moviegoers said they recommend the movie?
Answer:
30
Step-by-step explanation:
150/100 = 1.5
1.5 is 1% of 150
20% of moviegoers recommend the movie
1.5 times 20 = 30
Jon collects 2,578 ounces of honey from his beehives. He will put the honey in
jars thert hold 6 ounces each. Which expression is best to estimate the number of
jars Jon can fill with honey?
Answer:
2,578 = 6X
Step-by-step explanation:
Given:
Total weight of honey collected = 2,578 ounce
Each jar hold honey = 6 ounce
Find:
Expression to estimate number of jars can fill :
Computation:
Assume ,
Total number of jars can fill = X
So,
Total weight of honey collected = Total number of jars × Each jar hold honey
2,578 = 6 × X
2,578 = 6X
I need to know this right now :(
Answer:
40000
400
Step-by-step explanation:
40000 because 4000 * 10 = 40000
400 because 1 / 10 of 4000 = 400
Answer:
ok so 1/2 is your answer 1/4 divide = 1//2 !
Step-by-step explanation:
Please solve for x. I need this answered.
2.5x - 3 + 2x = 1.75x - 1.25x + 13
4.5x - 3 = 0.50x + 13
4.0x = 16
x = 4
Answer: 4
2. We'll assume those xs are in the numerator
(3/7)x - 1/4 + (3/7)x = (9/7)x - (3/7)x + 3/4 - 1
(6/7)x - 1/4 = (6/7)x - 1/4
0 = 0
That's always true.
Answer: Any x is a solution.
Answer:
2.5x - 3 + 2x = 1.75x - 1.25x + 13
4.5x - 3 = 0.50x + 13
4.0x = 16
x = 4
Answer: 4
2. We'll assume those xs are in the numerator
(3/7)x - 1/4 + (3/7)x = (9/7)x - (3/7)x + 3/4 - 1
(6/7)x - 1/4 = (6/7)x - 1/4
0 = 0
That's always true.
is -8 rational or irrational
Answer:
rational
Step-by-step explanation:
All numbers that are not rational are considered irrational. An irrational number can be written as a decimal, but not as a fraction. An irrational number has endless non-repeating digits to the right of the decimal point. The number 22/7 is a irrational number
Kono Dio Da!!!
Answer:
I'm pretty sure it is rational
Step-by-step explanation:
:)
Find the volume of each cylinder. Which cylinder has the greater volume? Use 3.14 for π and round your answers to the nearest hundredth. Two cylinders. The circumference of the base of cylinder A is 3 meters and the height of the cylinder is 5 meters. The circumference of the base of cylinder B is 5 meters and the height of the cylinder is 3 meters. Cylinder A has a volume of m3, and Cylinder B has a volume of m3. Cylinder has the greater volume.
Answer:
Cylinder A has a volume of [tex]3.58 m^3[/tex], Cylinder B has a volume of [tex]9.92 m^3.[/tex]Cylinder B has a greater volume.Step-by-step explanation:
Cylinder A
Base Circumference=3 meters
[tex]2\pi r =3\\r=\frac{3}{2\pi}[/tex]
Height=5 meters.
Volume [tex]=\pi r^2 h[/tex]
[tex]=\pi (\frac{3}{2\pi})^2 X5\\=\frac{9X5}{4\pi}\\\\=\frac{9X5}{4*3.14}\\\\=3.58m^3[/tex]
Cylinder A
Base Circumference=5 meters
[tex]2\pi r =5\\r=\frac{5}{2\pi}[/tex]
Height=3 meters.
Volume [tex]=\pi r^2 h[/tex]
[tex]=\pi (\frac{5}{2\pi})^2 X5\\=\frac{25X5}{4\pi}\\\\=\frac{25X5}{4*3.14}\\\\=9.92m^3[/tex]
Cylinder A has a volume of [tex]3.58 m^3[/tex], and Cylinder B has a volume of [tex]9.92 m^3.[/tex]
Cylinder B has a greater volume.
A number is randomly choose between one and 99. What is the probability that the number is not in multiple of nine
Answer:
8/9
Step-by-step explanation:
The probability that the number chosen is a multiple of 9 is 1/9, so the probability that it isn't a multiple of 9 is 1 - (1/9) = 8/9
Hi Guys! if anyone can help me with this please do! I need to solve for X and the triangles in each pair are similar.
Answer:
x=6
Step-by-step explanation:
We can use ratios to solve
18 4x+6
--------- = -------------
24 40
Using cross products to solve
18*40 = 24 * (4x+6)
720 = 24*(4x+6)
Divide each side by 24
720/24 = 24/24 (4x+6)
30 = 4x+6
Subtract 6 from each side
30-6 = 4x+6-6
24 = 4x
Divide each side by 4
24/4 = 4x/4
6 = x
Find the area of a triangle whose sides are 12 cm 6 cm and 14 cm
Answer:
32
Step-by-step explanation:
add 12 + 6 + 14
PLEASE HELP I NEED THIS image below
Answer:
64
Step-by-step explanation:
You need to do 4*4*4 to get your answer.
Hope this helps.
Answer:
64
Step-by-step explanation:
Because 4×4 is 16 and 16 ×4 is 64
factorise : x^2y^2-16
Answer:
(xy - 4)(xy + 4)
Step-by-step explanation:
x²y² - 16 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b), thus
x²y² - 16
= (xy)² - 4²
= (xy - 4)(xy + 4)
Find two numbers, if their sum is 49 and their difference is 1/2 .
This question is for my little sister who needs help with her Math.
I'm too busy to help.
Answer: 49.5 and -0.5
Step-by-step explanation:
a + b =49
a - b = 0.5
a= 49.5
b= -0.5
The two numbers are approximately 24.25 and 24.75.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
Let's call the two numbers x and y.
According to the problem, we have two equations:
x + y = 49 (since their sum is 49)
x - y = 1/2 (since their difference is 1/2)
We can solve this system of equations using the method of substitution.
First, we can rearrange the second equation to solve for one of the variables in terms of the other:
x - y = 1/2
x = y + 1/2
Now we can substitute this expression for x into the first equation:
(y + 1/2) + y = 49
2y + 1/2 = 49
2y = 48.5
y = 24.25
Now we can use this value of y to solve for x:
x = y + 1/2 = 24.25 + 1/2 = 24.75
Therefore, the two numbers are approximately 24.25 and 24.75.
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