There are 7 1/2 pounds of potatoes. 1/6 of the potatoes are rotten. What is the weight of good potatoes. Fraction form
Answer:
6 1/4 pounds
Step-by-step explanation:
There are 7 1/2 pounds of potatoes, which is equivalent to 7 1/2 = 7.516=120
120 ounces of potatoes.
If 1/6 of the potatoes are rotten, then 1/6*120 = 20
20 ounces of potatoes are rotten.
Thus, the weight of the good potatoes is 120-20 = 100
100 ounces.
Converting this back to pounds, we get
100/16 = 6 1/4
6 1/4 pounds.
Santos walks 222 kilometers south and then a certain number of kilometers east. He ends 555 kilometers away from his starting position. How many kilometers east did Santos walk
Answer:
4.6 km
Step-by-step explanation:
You want to know how many kilometers east Santos walked to end up 5 km from his starting position after walking 2 km south.
DistanceThe distance Santos is from his starting position will be the hypotenuse of a right triangle with one leg 2 km. Using the Pythagorean theorem, we can find the length of the other leg.
c² = a² + b²
5² = 2² + b²
21 = b²
b = √21 ≈ 4.583
Santos walked about 4.6 km east.
<95141404393>
What is the area of the shaded region? Use 3.14 for pi and round your answer to the
nearest tenth.
O
6 cm
10 cm
12.6 cm²
78.5 cm²
50.2 cm²
201.0 cm²
The area of the shaded region is, 201.0 cm².
What is circle?
A circle is a closed, two-dimensional figure in which all points in the plane are equally spaced apart from the center. The symmetry line of reflection is formed by each line that traverses the circle. Additionally, it is rotationally symmetric around the center for all angles.
In the given figure we have to find the area of the shaded region.
First to find the area of circle with radius 10cm.
Area of circle = [tex]= \pi r^2 = 3.14*(10)^2 = 3.14*100 = 314cm^2[/tex]
Now to find the area of circle with radius 6cm.
Area of circle = [tex]= \pi r^2 = 3.14*6^2=3.14*36 = 113.04 cm^2[/tex]
So, the area of the shaded region is,
[tex]314cm^2 - 113.04cm^2 = 200.96cm^2=201.0cm^2[/tex]
Hence, the area of the shaded region is, 201.0 cm².
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Ali is collecting signatures for a petition. He currently has 520 signatures. He has 6 more weeks to collect the remaining signatures he needs. He needs a total of at least 1,000 signatures before he can submit the petition. Ali wants to collect the same number of signatures each week. Write and solve the inequality for the situation
An inequality that represents the number of signatures Ali needs to collect in each of the remaining weeks so that he will have enough signatures to submit the petition: 520 + 6m ≥ 1000
and the minimum number of signatures he needs to collect = 80
Given that Ali wants to collect the same number of signatures each week.
Assume that Ali collects m number of signatures each week.
He has 6 weeks to collect the remaining signatures he needs.
So, by unitary method in 6 weeks the number of signatures he would collect:
6 × m
He currently has 520 signatures and he needs a total of at least 1,000 signatures before he can submit the petition.
so, we get an inequality.
520 + 6m ≥ 1000
We solve above inequality.
6m ≥ 1000 - 520
m ≥ 480/6
m ≥ 80
Ali needs to collect at least 80 signatures, so that he will have enough signatures to submit the petition.
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Find the length of the segment that joins the points (-5, 4) and (6,-3).
Answer:
[tex]\boxed {\boxed {\sf d=\sqrt{170} \ or \ d\approx 13.04}}}[/tex]
Step-by-step explanation:
We are asked to find the length of a segment or the distance between the 2 points. The formula for distance is:
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
where (x₁ y₁) and (x₂, y₂) are the points. We are given the points ( -5, 4) and (6, -3). If we match the number and the corresponding variable, it is:
x₁= -5 y₁= 4 x₂= 6 y₂ = -3Substitute the values into the formula.
[tex]d= \sqrt{(6--5)^2+(-3-4)^2[/tex]
Solve inside the parentheses.
6--5 (Back to back negative signs become a positive)= 6+5 =11 -3-4= -7[tex]d= \sqrt{(11)^2+(-7)^2[/tex]
Solve the exponents.
(11)²= 11*11= 121(-7)²= -7*-7= 49[tex]d= \sqrt {(121)+(49)[/tex]
Add.
[tex]d= \sqrt {170}[/tex]
[tex]d=13.0384048104[/tex]
Even though it's not specified, we could round to the nearest hundredth to make the answer more concise. The 8 in the thousandth place tells us to round the 3 to a 4 in the hundredth place.
13.0384048104[tex]d\approx 13.04[/tex]
The length of the segment is √170 or approximately 13.04.
by means of the definition, find the derivative of the function 'F' f(x)=6
We know that the derivative means the rate of change of the function. Graphically, this means that the derivative is the slope of the graph of that function.
How do you find the derivatives by using the Definition?The derivative of a function is the slope of the curve for the specified function. Physically speaking, the derivative of a function is the instantaneous rate of change of a function with respect to the variable at a location.
A securities with a price that is based on or derived from one or more underlying assets is referred to as a derivative. A contract between two or more parties based on the asset or assets constitutes the derivative itself. Changes in the underlying asset's value affect its value.
The instantaneous pace at which a function changes with regard to one of its variables is known as the derivative. Finding the slope of the tangent line to the function at a certain location is equal to doing this.
lim/h→0f(x+h)−f(x)h=f'(x).
lim/h→06−6/h=0.
f'(x)=limΔx→0
f'(x)=limΔx→0
f(x+Δx)−f(x)Δx=
f'(x)=limΔx→06−6Δx=0
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Factoring can be used to solve ANY quadratic equation.
True or false
Answer: False, Quadratic can sometimes be solved by factoring. It can ALWAYS be solved using the quadratic formula.
Step-by-step explanation:
Hope this helps :)
Answer:
false
Step-by-step explanation:
PLEASE HELP!!! WILL MARK ANSWER BRAINLIEST!!!!!!! The manager of a hardware store took a random sample of 4.5 pounds of nails from a delivery of 350 pounds of nails. The manager found that 0.3 pounds of nails in the sample were defective. They were either bent, the heads were damaged, or they had been clipped too short during manufacture. How many pounds of defective nails should the manager expect the 350-pound delivery to contain? Round your answer to the nearest tenth of a pound.
The manager should expect the defective nails of 350-pound delivery to contain 23.3 pounds .
How to find defective rate?The defect rate is a measurement of the proportion of production units that are flawed or useless relative to a certain number of units. Businesses use this assessment to assess the quality of their products and how they affect their bottom line. Although lower rates are desired, no industry has a set acceptable fault rate. Therefore, businesses must choose their goal defect rate.
Defect rate is crucial because it enables firms to calculate the proportion of output units that fail quality checks. This assists the firms in identifying any issues with quality control or manufacturing and estimating the cost of each fault. To estimate the profitability of a product, businesses can also compare failure rates among comparable or dissimilar products.
In ever 4.5 pounds of nail defective nails are = 0.3 pounds
In ever 1 pounds of nail defective nails are = 0.3/4.5 pounds
In ever 350 pounds of nail defective nails are = (0.3/4.5)*350 pounds
⇒ the defective nails in 350 pounds of nails= 105/4.5
⇒ the defective nails in 350 pounds of nails= 23.3 pounds
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How do you graph inverse functions and relations?
An inverse relation and function is the opposite of a relation and functions.
An ordered pair collection is referred to as a relation. Let's think about the two sets A and B. The cartesian product of A and B, indicated as A x B, is the set of all ordered pairs of the form (x, y), where x A and y B. A relation is any subset of the cartesian product A x B.
The inverse function f-1 takes each element in the range of an original function f and transfers it to the equivalent element in the function's domain. F must be one-to-one and onto since we are mapping the function f backward.
An onto function only has one output for each input, but a one-to-one function only has one input in the domain for each output in the range. This implies that each input has precisely one input for each output in order to have both.
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Find the missing side. Round to the nearest tenth.
X
55
18
Answer:
solution
90+55+×=180(sum of angle of triangle is 180)
or,145+x=180
or,x=180-145
therefore,x=35
I want the answer please
The prove of given limit lim θ → 0 ( sin θ / θ ) = 1 is shown in below.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
⇒ lim θ → 0 ( sin θ / θ ) = 1
Here, The form of given limit is 0/0, so we can apply the L - Hospital Rule.
⇒ lim θ → 0 ( sin θ / θ ) = 1
Take LHS;
⇒ lim θ → 0 ( d/dθ (sin θ)/ dθ/dθ )
⇒ lim θ → 0 ( cos θ / 1 )
⇒ ( cos 0 )
⇒ 1
⇒ RHS
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Find m/ABD and m/DBC. Enter deg after any value that is in degrees.
Therefore, as a result, the angles of the triangle m∠ABD and m∠DBC equal 37 et 58 degrees, accordingly.
Defining a triangleYou can link any key steps in a plane to form triangle, that have sides and three angles. They were among of the first geometric forms to be examined. Since triangles might well be divided into any polygon, regardless of whether it contains four, five, six, ... n sides, they are very significant.
Here,
Given that in this case mABC is 95 degrees
The meeting of two lines forms an angle, while a line cutting an angle in half equally divides it.
Looking at the example,
∠ABC is equal to ∠ABC + ∠ABCD.
with the following
95 degrees, ∠AB
∠ABD = 2x + 23
∠DBC = 9x - 5
Put the missing pieces of the equation in.
95 = 2x + 23 + 9x - 5
95 =11x +18
11x = 95 - 18
11x = 77
x = 77/11
x = 7
Recognize the angle AB
∠ABD = 2x + 23
∠ABD = 2(7) + 23
<ABD = 14 + 23
∠AB = 37°
Apply the ∠DBC angle.
95 - ADBD is ∠DBC.
∠DBC = 95 - 37
A DB of 58 degrees
The readings of m∠ABD and m∠DBC are therefore 37 and 58 °, respectively.
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A diving board is 10 feet long and 1 foot wide. What is its area?
Answer:
10ft^2
Step-by-step explanation:
10ft×1ft=10
Answer:
10square feet is the area (length x width)
Step-by-step explanation:
Find the length of x. Assume that lines which appear to be tangent to the circle are tangent
A) 36
B) 42
C) 48
D) 54
Answer:
C
Step-by-step explanation:
Remark
The formula that relates tangents and secants using the information given is
The distance from the external point to the point of tangencyo^2 = The external point of secant to the circumfrance of the circle * the other intersect point of the secant.
The algebra is much simpler.
y^2 = 27 ( 27 + x)
Givens
y = 45
27 is the distance from the external point to the circle
27 + x is the entire length of the secant.
Solution
45^2 = 27(27 + x) Remove the brackets
2025 = 729 + 27x Subtract 729 from both sides
2025 - 729 = 27x
1296 = 27x Divide by 27
1286/27 = x
x = 48
Boat A traveled at a speed of 15km/h for 7h a day. Boat B traveled at a speed of 25km/h for 6h a day. Find the difference traveled by the 2 boats that day.
Answer:
Boat A travels 105 km
Boat B travels 150 km
difference 45 km
Using the pie chart below, if 300 students were polled on their favorite ice cream flavor, how many more students preferred strawberry ice cream than vanilla ice cream?
. The water pipe has a radius of 5 cm and a height of 7 cm. What volume of
water does it take to fill the pipe?
Answer:
V=550cm^3
Step-by-step explanation:
Answer: 549.5 cm squared
Step-by-step explanation:
PLEASE PLEASE HELP I WILL MARK THE BRAINIEST (the little crown thingy)
Answer: A
Step-by-step explanation: They both go up but they have diffrent patterns
hopes this helps any
Answer:
A.
Step-by-step explanation:
the 'x' slot is going up two and the 'y' slot is going up one every change.
Which single power is equivalent
help pleaseeeee im stuck
Each of 5 boys randomly chooses a watch from 12 different styles. What is the probability that at least 2 boys choose the same type of watch?
choices
≈ 0.3819
≈ 0.5387
≈ 0.7387
≈ 0.6181
Answer: ≈ 0.6181
Step-by-step explanation:
The probability that at least 2 boys choose the same type of watch is 0.6181.
What is Probability?
Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen.
Here, the total number of combinations of styles for 5 boys
12 X 12 X 12 X 12 X 12 = 12⁵
the total ways that each boy have different styles
12 X 11 X 10 X 9 X 8
P(None of the boys have same style) = (12 X 11 X 10 X 9 X 8) / 12⁵
= 0.3819
P(at least 2 boys have same style) = 1 - P(None of the boys have same style)
= 1 - 0.3819
= 0.6181
Thus, the probability that at least 2 boys choose the same type of watch is 0.6181.
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Each of 8 ladies randomly chooses a woolen overcoat from 14 different styles. What is the probability that at least 2 ladies choose the same type of overcoat?
choices
≈ 0.820
≈ 0.918
≈ 0.929
≈ 0.894
Answer: 0.894
Step-by-step explanation:
Answer:
≈ 0.918
Step-by-step explanation:
Use the complement since the probability of at least 2 ladies choose the same type of overcoat is much more challenging than finding the probability that all the ladies choose a different overcoat.
P(at least 2 ladies choose the same type of overcoat) = 1 − P(all choose different)
Find the probability that they all choose a different type of overcoat.
Now use the complement to determine the probability that at least 2 ladies choose the same type of overcoat.
P(at least 2 ladies choose the same) =
1 − P(all choose different)
≈ 1 − 0.0820
≈ 0.918
The probability that at least 2 ladies choose the same type of overcoat is approximately 0.918 or 91.8%.
Need help for this please, i have to pass my class
need help in pre-algebra
answer:
a. 8 · 10^7 is 4000 times larger than 2 · 10^4
step-by-step explanation:
solve the actual expression firstwrite the expressions in standard form and compare them8 · 10^7 (or 8 X 10000000) = 80000000
2 · 10^4 (or 4 X 10000) = 20000
now that you have them in standard form, divide them to compare80000000 / 20000 = 4000
from this, we can tell that 8 · 10^7 is 4000 times larger than 2 · 10^4I WILL IVE BRAINLEST FOR CORRECT ANSWER
15 Weeks should be the answer
Please help I will give brainliest
Answer:
If the circle, translate 3 units right and 5 units up and dilated 5/2
then circle C is congruent to circle A.
------------------------
hope it helps...
have a great day!!
WHERE DO YOU PLACE THE PARENTHESES TO EQUAL TO 40
4+2•3^2
HELPPPP!! IT HAS TO EQUAL TO 40!!!!
x= x 1/3 * x3 is it always sometimes or true
Answer:
Only sometimes true
Step-by-step explanation:
Now, I'm going to go out on a whim here, since your equation writing isn't the best, but I will assume that the equation is:
x = x/3 * 3x
Now, to simplify this equation, we will multiply both sides by 3, giving us:
3x = x * 3x
Then, simplify the left side:
3x = [tex]3x^{2}[/tex]
Divide by 3 gives us:
[tex]x = x^{2}[/tex]
Now, this is only true in two cases. When x is 1, and when x is 0. So, that equation is only sometimes true.
Hope this helped!
asmine is filling a small fish tank with water. The fish tank is in the shape of a right circular cylinder with a radius of 3 in and a height of 10 in. What is the volume of this fish tank
The volume of the fish tank in the shape of a right circular cylinder with a radius of 3 in and a height of 10 in is 90π cubic inches.
Therefore the answer is 90π in³.
Recognize that the fish tank is in the shape of a right circular cylinder.
Remember that the formula for the volume of a cylinder is
V = πr^2h
where r is the radius and h is the height.
Plug in the given values for the radius (r = 3 inches) and the height (h = 10 inches) into the formula.
Perform the calculation:
πr^2h
= π(3^2)(10)
= π×9×10
= 90π cubic inches
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32x^6-4
how do yo factor this