Answer:
The 5 is in the thousandths place.
825/1000
Step-by-step explanation:
Simplified this would be 33/40
825/1000 Divide the top and bottom by 25
The sum of three consecutive integers is -27. Find the value of the middle of the
three.
Solving the Question
Let the middle integer be x.
We're given:
[tex](x-1) + x + (x+1) = -27[/tex]Solve for x.[tex](x-1) + x + (x+1) = -27[/tex]
Open up the brackets:
[tex]x-1 + x + x+1 = -27[/tex]
Combine like terms:
[tex]3x = -27[/tex]
Divide both sides by 3:
[tex]\dfrac{3x}{3} = \dfrac{-27}{3}[/tex]
[tex]x=-9[/tex]
AnswerThe value of the middle integer is -9.
Petrina had a piece of red ribbon that measured 2.4 m long. she also had a piece of blue ribbon which was 7 8 m long. what was the total length of both ribbons? round your answer to 2 decimal places.
The total length of red and blue ribbons is 10.2 m.
Given that, the length of the red ribbon =2.4 m and the length of the blue ribbon =7.8 m.
How to add two decimals?Adding decimals is similar to the usual addition of whole numbers. We know that a decimal number is a number with a whole number part and a fractional part which is separated by a decimal point.
Now, the length of the red ribbon + the length of the blue ribbon=2.4+7.8
=10.2 m
Therefore, the total length of red and blue ribbons is 10.2 m.
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An online store sells old video games and DVDs as a bundle. A bundle of two video games and three DVDs can be purchased for $90.00. A bundle of one video game and two DVDs can be purchased for $51.50. Find the cost of one video game and the cost of one DVD in the bundle.
Using system of equations, the cost of one video game is $25.5; the cost of one DVD is $13.
How to Apply System of Equations to Solve a Problem?Given the problem above, we would do the following:
Video games = vDVDs = dUsing the information given, we would form two equations for the system as shown below:
2v + 3d = 90 ---> equation 1
v + 2d = 51.5 ---> equation 2
Multiply equation 2 by 2 to get equation 3
2v + 4d = 103 ---> equation 3
Subtract equation 1 from equation 3
d = 13
The cost of one DVD = d = $13.00
Substitute d = 13 into equation 2
v + 2d = 51.5 ---> equation 2
v + 2(13) = 51.5
v + 26 = 51.5
v = 51.5 - 26
v = 25.5
The cost of one video game = v = $25.50.
Therefore, using system of equations, the cost of one video game is $25.5; the cost of one DVD is $13.
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Teresa made a circular plywood cover bigger than the mouth of the mixing bowl. it is 20 cm in diameter. but in using the mixer, the cover must have a hole in the middle to insert the mixing tool. if the hole is 10 cm in diameter, what is the final area of the mixer cover?
The final area of the mixer cover is 1650/7 square cm.
Given that:-
Diameter of circular plywood cover = 20cm
Diameter of circular hole in the middle = 10cm
We have to find the final area of the mixer cover after cutting the hole in the middle.
We can find the radius of the circular cover and the circular hole using their respective diameters.
Hence,
Radius of circular plywood cover = 20/2 = 10 cm
Radius of circular plywood cover = 10/2 = 5 cm
We know that,
Area of circle = [tex]\pi r^2[/tex]
Hence,
Area of circular plywood cover = [tex]\frac{22}{7}*(10)^2 =\frac{2200}{7}[/tex]
Area of circular hole = [tex]\frac{22}{7}*(5)^2 =\frac{550}{7}[/tex]
Final area = Area of circular plywood cover - Area of circular hole
Final area = (2200/7) - (550/7) = 1650/7 square cm.
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Which number is greater,
23
×
10
3
or
11
×
10
4
? How do you know? Show your work and explain your steps.
Answer:
A. 23×10^3
B. 11×10^4
Your answer would be B, 11x10^4.
Step-by-step explanation:
To find your answer you can evaluate each equation and compare your answers.
A:
10^3 = 1,000
23•1,000 = 23,000
B:
10^4 = 10,000
11•10,000 = 110,000
End Result:
110,000 > 23,000
Therefore your answer would be choice B.
Have a great rest of your day.
From the one and only,
Mr. Universe
Answer:
A:
10^3 = 1,000
23•1,000 = 23,000
10^4 = 10,000
11•10,000 = 110,000
110,000 > 23,000
simplify this expression
12g+9g
Answer:
21 g
Step-by-step explanation:
12g
+ 9g
_____
21g
======
I think this is the answer but i can't confirm because your theory and my theory can be different
There were 127 birds on the endangered species list in some year. This is more than twice the number of reptiles on the list. How many reptiles were on the endangered species list in this year?
r = number of reptiles on the endangered species list
2r = twice that number
2r < 127 since the 127 is more than twice the number of reptiles
Solve for r by dividing both sides by 2
2r < 127
r < 127/2
r < 63.5
If r is a positive whole number, then r could be anything from this set: {1, 2, 3, ..., 62, 63}
Unfortunately there isn't enough information to fully pin down what r is.
I would ask your teacher for further clarification.
A plane is flying at a speed of 150 miles per hour. The pilot plans to fly at this speed for
the next 160 miles, plus or minus 25 miles. Write an absolute value equation to find the
minimum and maximum number of hours the plane will travel at that speed.
Maximum time = 0.914 hour , Minimum time = 1.28 hour
Speed is determined by dividing the distance traveled by the time taken to travel it. It gives the amount of time it took to travel a certain distance divided by the distance traveled.
Speed is inversely correlated with time and directly correlated with distance. Hence, Speed X time equals distance, and
Time is calculated as Distance / Speed; as speed increases, time decreases and vice versa.
Distance = speed x time
Maximum speed = 150 +25
= 175 miles/ hour
Minimum speed = 150 - 25
= 125
Distance = 160 miles
Maximum time = 160/175
= 0.914 hour
Minimum time = 160/125
= 1.28 hour
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Using the section of the graph shown, which of
these potential roots of the function should you
test first?
f(x) = 2x³-9x² - 6x + 40
Step-by-step explanation:
STEP1:Equation at the end of step 1
(((2 • (x3)) + 32x2) - 6x) - 40
STEP 2 :
Equation at the end of step2:
((2x3 + 32x2) - 6x) - 40
STEP3:Checking for a perfect cube
3.1 2x3+9x2-6x-40 is not a perfect cube
Trying to factor by pulling out :
3.2 Factoring: 2x3+9x2-6x-40
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -6x-40
Group 2: 2x3+9x2
Pull out from each group separately :
Group 1: (3x+20) • (-2)
Group 2: (2x+9) • (x2)
I thing it will help you
please follow me
Name the angle in as many different ways as possible.
Answer:
no sé
Step-by-step explanation:
los tipos que hay según la suma y la posición en la que quedan colocados.Two spheres (m = 3 g) on long threads repel each other after being equally charged. what is the charge q?
The charge q is ±7.46 × 10⁻⁷C.
Electrostatic Force, Coulomb's Law:The electrostatic force is a type of force that only charged objects experience. The term electrostatic is made up of two parts: 'electro,' which refers to electricity, and static,' which means stationary. As a result, an electrostatic force exists between any two fixed charges.The electrostatic force is attractive when the two charges have opposite charges and repulsive when they have the same charge.Coulomb's Law is used to calculate the strength of the electrostatic force between two points and stationary objects. The electrostatic force between two points and stationary charges is directly proportionate to the product of both charges and inversely proportional to the square of the distance between the charges, according to Coulomb's Law.
Give:
The mass of each charge, m = 3.0 g = 3 × 10⁻³ kgThe length of each thread, l = 1.0 mThe two charges are equal, q₁ = q₂ = qTake a look at the charge on the left. The following forces are at work in response to this charge:
The tension of the thread, TThe gravitational force, W = mg where m is the mass and g = 9.8 m/s² is the acceleration due to gravity.The electrostatic force, F due to the charge of the right.(Refer to the diagram below)
Because the charge is in equilibrium, the charge's vertical and horizontal forces must be zero.
We have the following in the vertical direction:
[tex]\begin{aligned}T \cos 20^{\circ} &=W \\\Rightarrow T &=\frac{m g}{\cos 20^{\circ}} \\&=\frac{3.0 \times 10^{-3} \mathrm{~kg} \times 9.8 \mathrm{~m} / \mathrm{s}^2}{\cos 20^{\circ}} \\&=3.13 \times 10^{-2} \mathrm{~N}\end{aligned}[/tex]
Coulomb's Law states that the electrostatic force between two point charges, q₁, and q₂, separated by r is given by the equation:
[tex]\begin{aligned}F &=\frac{q_1 q_2}{4 \pi \epsilon_0 r^2} \\&=\frac{K q_1 q_2}{r^2}\end{aligned}[/tex]
Here,
The distance between the charges is r.The permittivity of free space is [tex]\epsilon_0[/tex].Coulomb's Constant is K = 9 × 10⁹ N.m²/C².Using trigonometric personalities, the distance between any two charges is:
[tex]\begin{aligned}r &=2 l \sin 20^{\circ} \\&=2 \times 1.0 \mathrm{~m} \times 0.342 \\&=0.684 \mathrm{~m}\end{aligned}[/tex]
We have the following in the vertical direction:
[tex]\begin{aligned}F_e &=T \sin 20^{\circ} \\\Rightarrow \frac{K q_1 q_2}{r^2} &=T \sin 20^{\circ} \\\Rightarrow \frac{K q^2}{r^2} &=T \sin 20^{\circ} \\\Rightarrow q^2 &=\frac{r^2 T \sin 20^{\circ}}{K} \\&=\frac{(0.684 \mathrm{~m})^2 \times 3.13 \times 10^{-2} \mathrm{~N} \times \sin 20^{\circ}}{9 \times 10^9 \mathrm{~N} \cdot \mathrm{m}^2 / \mathrm{C}^2} \\&=55.65 \times 10^{-14} \mathrm{C}^2 \\\Rightarrow q &=\pm 7.46 \times 10^{-7} \mathrm{C}\end{aligned}[/tex]
Therefore, the charge q is ±7.46 × 10⁻⁷C.
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The correct question is given below:
Two 3.0g point charges on 1.0m - long threads repel each other after being equally charged, as shown in the figure. What is the charge q?
the formula for the circumference of a circle is c equals 2 pi r. if the circumference is31.4 centimeters, what is the diameter of the circle? (let pi equals 3.14)
Answer: Substitute this value to the formula for circumference: C = 2 * π * R = 2 * π * 14 = 87.9646 cm. You can also use it to find the area of a circle: A = π * R² = π * 14² = 615.752 cm². Finally, you can find the diameter - it is simply double the radius: D = 2 * R = 2 * 14 = 28 cm.
Step-by-step explanation:
Write a decimal addition
problem that has an estimated sum
of 35.
Add. 5/7 + 1/2 + 3/4
please help
Answer: 1²⁷/₂₈
Step-by-step explanation:
[tex]\displaystyle\\\frac{5}{7}+\frac{1}{2}+\frac{3}{4} =\\\\\frac{5*4+1*14+3*7}{28} =\\\\\frac{20+14+21}{28} =\\\\\frac{55}{28} =\\\\1\frac{27}{28}[/tex]
On an average-sized plane with 152 passengers on board, 27 vegetarian dishes are ordered. The largest type of airliner generally holds 500 people. How many vegetarian dishes are needed there?
89 vegetarian dishes
The unitary technique, in its most basic form, is used to calculate the value of a single unit from a specified multiple. How to determine the value of one pen, for instance, if the cost of 40 pens is Rs. 400. The unitary approach can be used to complete it. Additionally, after determining the value of a single unit, we can multiply that value by the number of units needed to determine the value of the additional units. The concept of ratio and proportion is mostly applied using this way.
Using unitary method,
152 passengers are served with = 27 dishes
1 passengers are served with = 27/152
500 passengers are served with = 27 x 500 / 152
= 88. 81
≈ 89 vegetarian dishes
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Sergio and three friends went golfing two other friends rented clubs for six dollars each the total cost of the rented clubs in the green fees was $76 what was the cause of the green fees for each person
The cost of Green fees for each person is $16.
As per the question statement, Sergio went golfing with 3 other friends and two of them rented clubs for $6 each, the total cost of the rented clubs and the green fees being $76.
We are required to calculate the cost of Green fees for each person.
Let us assume that the cost of Green fees for each person is "x".
We will now form a linear equation of single variable "x" based on the conditions mentioned in the question statement, and solving for x, we will obtain our desired answer.
[tex][4x+(2*6)]=76\\or,4x+12=76\\or, 4x=76-12\\or, 4x=64\\or, x=\frac{64}{4}=16[/tex]
That is, the cost of Green fees for each person is $16.
Linear Equation: In Mathematics, a linear equation is an algebraic equation which when graphed, always results in a straight Line, as the name "Linear" itself suggests. Here, each term is of exponent 1 and is often denoted as (y = mx + c) where, 'm' is the slope and 'b' is the y-intercept.To learn more about Linear Equations, click on the link below.
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Which of these choices are square roots of 100? chewhich of these choices are square roots of 100? check all that apply. ck all that apply. 100^1/2 10 -10 50 -50 -100^1/2 pleaseeeee
Play equation 19+0.15p= c gives the cost c in dollars that a store charges to deliver an appliance that weighs p pounds. use the equation and a table to find the weight of an appliance that cost $37 to deliver.
The appliance weighs ?? pounds.
POWER TO A POWER
(ax) y =
When raising a base with an exponent to
another exponent, keep the
and
the exponents.
A number raised to a power represents a product where the same number is used as a repeated factor. The number is called the base and the power is given by the exponent. The base is the repeated factor and the exponent counts the number of factors. An exponent is that we are dealing with products and multiplication.
In the expression bn, b is the base and n is the exponent.
The Power Rule for Exponents: (am)n = am*n.
To raise a number with an exponent to a power, multiply the exponent times the power.
Negative Exponent Rule: x–n = 1/xn.
Invert the base to change a negative exponent into a positive.
Zero Exponent Rule: x0 = 1, for .
Any non-zero number raised to the zeroth power is 1.
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Consider the polynomial function
p(x) = -9x⁹ + 6x6 - 3x³ +1.
End behavior of polynomials
What is the end behavior of the graph of p?
p has an odd degree and an odd leading coefficient.
So,
As x approaches infinity, p(x) approaches negative infinity.As x approaches negative infinity, p(x) approaches infinity.Multiply negative 1 over 3 multiplied by 1 over 4. Which of the following is correct? (5 points) negative 1 over 3 negative 1 over 4 negative 1 over 7 negative 1 over 12
Answer:
D. Negative 1 over 12
Step-by-step explanation:
-1/3*1/4=-1/12
Hope this helps!
Please mark as brainliest if correct!
Answer:
-1/12, so D.
Step-by-step explanation:
-1/3(1/4)
-1/12
Please give brainliest, lol.
On Elvis’s map, the area of a park is of thearea of the same park on Belinda’s map. Elvis’s map uses a 1/4 scale of 1 inch to 100 feet. What scale does Belinda’s map use?
Using proportions, it is found that Belinda's map uses a scale of 0.025 inches : 100 feet = 0.00025 inches : 1 feet.
What is a proportion?A proportion is a fraction of a total amount, and the measures can be related using a rule of three, which derives from proportional relationships.
Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures, involving operations such as division and multiplication, as they involve unit rates.
Scale problems are solved using proportions. Elvis’s map uses a 1/4 scale of 1 inch to 100 feet, hence:
1 inch represents 100 feet in the entire scale.1/4 of that is that 1/4 = 0.25 inches represent 100 feet.Belinda's map has the same area, hence they use the same scale, hence she uses a scale of 0.025 inches : 100 feet = 0.00025 inches : 1 feet.
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If the mean of a normal distribution is 20 and its standard deviation is 3, between which values would 99.5 percent of the data observations be expected to fall?
99.5% of the data observations should fall between 11.579 and 28.421 according to expectations for the given normal distribution.
What is a normal distribution?
A continuous probability distribution for just a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.
According to the question, if the lower limit is a and the upper limit is b, then 99.5 percent of values fall between a and b.
part of values below a certain threshold, a= (1-0.995)/2 = 0.0025
Mean,m =20
Standard deviation,s = 3
Z = (X – m) / s
P(x<Z): 0.0025
P(x<Z) = 0.0025 can be determined for Z score.
according to the usual table, Z = -2.807
X = Zs+m
(-2.807 * 3) +20= 11.579
Lower limit = 11.579
Part of values that are less than b is equal to 0.995 + 0.0025 = 0.9975.
P(x<Z): 0.9975
Z score for which P(x<Z) = 0.9975 can be found
from the normal table as, Z = 2.807
X = Zs+m
(2.807 * 3) +20= 28.421
Upper limit = 28.421
99.5% of the data observations should fall between 11.579 and 28.421 according to expectations for the given normal distribution.
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Ensuring that data is collected the same way each time it is collected is an example of:_______.
Ensuring that data is collected the same way each time it is collected is an example of data consistency.
What is data consistency?In database systems, consistency refers to the requirement that any given database transaction only changes affected data in permitted ways. Data written to a database must be valid according to all defined rules, including constraints, cascades, triggers, or any combination, for the database to be consistent. This operation can be modified per transaction. So, for example, a programmer can specify that only two nodes must read newly input data before recognizing data consistency. Once it crosses that barometer, it is considered consistent data. Data consistency is demonstrated by ensuring that data is collected in the same manner each time it is collected.Therefore, ensuring that data is collected the same way each time it is collected is an example of data consistency.
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What is the degree of x^2+3x+y?
Answer: 2
Step-by-step explanation:
as x is to a power of 2 so degree is 2
pls vote for brainliest
-2x(-3)=
(-3x4)÷(-8)=
(-2x(-3))x(-4)=
Answer:
61,5-24Step-by-step explanation:
[tex]1. \: \: - 2 \times - 3 = \\ = 6[/tex]
[tex]2. \: \: ( - 3 \times 4) \div ( - 8) = \\ = ( - 12) \div ( - 8)\\ = ( - 6 )\div ( - 4) \\ = ( - 3 )\div ( - 2 )\\ = 1.5[/tex]
[tex]3. \: \: ( - 2) \times ( - 3) \times ( - 4) = \\ = 6 \times ( - 4) \\ = - 24[/tex]
Given that 2x+11y=119, work out the value of x and y. PLEASE HELP if possible add how to calculate it as well
Lupita has five times as much money as David. Lupita also has $20 more than David. How much money does each person have?
21
Starting with the letter A and counting left
to right,
B
C
I
J
P Q
write the fifth letter
write the eighth letter
write the third letter
A
H
O
D
K
E
L
RS
CND
G
F
M
T U
Answer:
fifth letter: E
eighth letter: H
third letter: C
Im not sure
a spinner has 20 equally sized sections, 16 of which are yellow and 4 of which are blue. the spinner spun and at the same time and fair coun is tossed what is the probability that the spinner lands on blue and the coin toss is tails
Answer:
I don't know how it works