x=45, we know 2x is 90 because it is a right angle, so we can divide 90 by two, to get 45. Now to substitute, 90+55+(45-10) = 180, therefore, this answer would make logical sense.
9.The Bridgeport water department has a monthly service charge of $12.60 and a volume charge of
$1.38 for every 100 cubic feet of water. Write an equation that can be used to determine the Morgan
family's monthly water bill.
\(y = 1.38x + 12.60\)
Step-by-step explanation:
the 12.60 is going to be charged every months no matter what it's fixed so that's why it's added! the 1.38 is a rate, so how many cubic inches she uses in increments of 100 she will be charged so that depends on how much she uses in addition to that 12.60for example she uses 700 cubic feet of water once month well (x) will be 7 because u divide it by 100 and it'll give u ur "x". put it into the formula and it'll give the price she'll have to pay. 1.38(7) + 12.60 and this will equal $21.70 !What single angle is the vertical angle to
The supplement of <DCE is <ACE, remember, a supplementary pair is a pair of two angles whose sum of degrees sums up to 180 degrees.
The verticle angle to <BCD is <ACF. A verticle angle is formed when two lines intersect, there are four angles formed, the verticle angles are the angles opposite to each other, and verticle angles are congruent.
sara recycled 541 cans this month her mom recycled 479 how many cans did the recycled altogether?is this amount even or odd how do you know
Answer:
1020 Even
Step-by-step explanation:
541+479=1020 Ends in 0 ... even
Answer:
1020 even
Step-by-step explanation:
571 + 479
Aisha had 2 gallons of paint. She used 4 /5 of the first gallon and 1/4 of the second gallon.
How many gallons were left over?
A: 15 gallon
B: 34 gallon
C: 1920 gallon
D: 1120 gallons
Answer:
19/20
Step-by-step explanation:
you spelled them wrong A is 1/5 B is 3/4 C is 19/20 D is 11/20 but C is the right answer
The leftover gallon of paint she has now is C: 19/20 gallon
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, Aisha had 2 gallons of paint.
She used 4 /5 of the first gallon and 1/4 of the second gallon.
∴ The amount of leftover paint is 2 - (4/5 + 1/4).
= 2 - (16 + 5)/20.
= 2 - 21/20.
= (40 - 21)/20.
= 19/20.
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Select the correct answer.
Answer:it might be A
SCALCET8 3.9.015. A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 ft/s along a straight path. How fast is the tip of his shadow moving when he is 35 ft from the pole
Answer:
\(X=6.67ft/s\)
Step-by-step explanation:
From the question we are told that:
Height of pole \(H_p=15\)
Height of man \(h_m=6ft\)
Speed of Man \(\triangle a =4ft/s\)
Distance from pole \(d=35ft\)
Let
Distance from pole to man=a
Distance from man to shadow =b
Therefore
\(\frac{a+b}{15}=\frac{b}{6}\)
\(6a+6b=15y\)
\(2a=3b\)
Generally the equation for change in velocity is mathematically given by
\(2(\triangle a)=3(\triangle b )\)
\(2*4=3(\triangle b)\)
\(\triangle a=\frac{8}{3}\)
Since
The speed of the shadow is given as
\(X=\triangle b+\triangle a\)
\(X=4+8/3\)
\(X=6.67ft/s\)
What is Qualitative Data and what it it's discreate and Continuous?
Qualitative Data
Qualitative data describes qualities and characteristics. It is data that is not easily reduced to numbers. It tends to answer questions about the what, how, and why, rather than how many or how much.
Discrete Data
Discrete data usually involves counting rather than measuring. This type of data cannot be subdivided into different parts. Examples of discrete data would be number of customers in a store, number ot tv's bought.
Continuous Data
Continuous data is the opposite of discrete data in a sense that it is measured rather than counted. It refers to unspecified number of possible measurements between two realistic points. Examples are speed, temperature, weight.
(Combining Equations )What is the result of adding these two equations ? 2x + 7y = 4 -2x -8y = -2
To add these equations you just have to combine like terms on the same side of each equation, like this:
As you can see, we got 2x + 7y -2x -8y on the left, by combining like terms and performing the subtraction on the right side, we get:
2x-2x+7y-8y=2
0-1y=2
-y=2
Then, after adding these equations, we get -y = 2
What is MR?
MR =
help me plz
Answer:
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
MR = MN+NP+PQ+QR
MN=4 and MN≡QR so QR=4
PQ=6 and PQ≡NP so NP=6
MR = 4+6+6+4 = 20
PLZ HELP I NEED THE ANSWER RIGHT NOW
Answer:
Step-by-step explanation:
d
The sum of 21 and 4, doubled
21
To add radical expressions, the expressions must have the same index and radicand,
True
False
If the graph of y=-x^2 is translated horizontally 10 units to the right and translated vertically 3 units upwards, what is its new
equation?
Answer:
y=\((x-10)^{2}\)+3
Step-by-step explanation
in order to shift the equation to the right you must subtract a positive number from x (ex: -10)
to shift the equation upwards just add the positive number to the end of the equation (ex: +3)
Suppose a random sample of 80 measurements is selected from a population with a mean of 25 and a variance of 200. Select the pair that is the mean and standard error of x. Rstudio
a) [25, 2.081]
b) [25, 1.981]
c) [25, 1.681]
d) [25, 1.581]
e) [80, 1.681]
[ 25 , 1.581 ] is the pair that is the mean and standard error of x.
What does standard error mean?
A statistical concept known as the standard error uses standard deviation to assess how well a sample distribution represents a population.
The standard error of the mean describes the statistical variation between a sample mean and the population's actual mean. Measures of variability include standard error and standard deviation: The standard deviation describes variation within a single sample.
n = 80
μ = 25
σ² = 200
mean of x = μ = 25
standard error = √ σ²/n
= √200/80
= 1.581
= [ 25 , 1.581 ]
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PLEASE HELP!! WILL MARK BRAINLY
Answer:
arc length = 84.82 cm
Step-by-step explanation:
arc length = 36 * 3π/4
arc length = 3π * 9
arc length = 84.82 cm
Hope this helps!
6th grade math :D help me please :)
Answer:
B
Step-by-step explanation:
In order to combine like terms, they must share the same variable. We can't combine things 9y and 3p because they contain two different variables. On the other hand, 7r and r work because there is only one. 7r and r combine to 8r+2
Which equations support the fact that rational numbers are closed under addition? Select each correct answer.
A) √2+(−√6)=0
B) √2 + √2 = 2√2
C) 1/3 + 1/3 = 2/3
D) √9 + √9 = 2√9
The options that supports that rational numbers are close under addition are:
C) 1/3 + 1/3 = 2/3D) √9 + √9 = 2√9What does it mean rational number are close under addition ?Firstly we define rational numbers as numbers that can form a fraction consisting of integers excluding zero.
Rational numbers are close under addition that means that addition of two rational numbers will not create a irrational number
The given problem
adding the fraction 1/3 + 1/3 = 2/3
all the numbers involved here are rational numbers
√9 + √9 = 2√9
√9 is a rational number since √9 = 3.
2√9 is also a rational number
√2 and √6 are irrational numbers.
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A tennis ball can in the shape of a right circular cylinder holds three tennis balls snugly. If the radius of a tennis ball is
3.5 cm, what percentage of the can is not occupied by tennis balls?
The percentage of the can that is not occupied by tennis balls is______%.
(Type an integer, fraction, or mixed number.)
The percentage of the can that is not occupied by tennis balls is approximately 80.14%.
We have,
The volume of the can = The volume of the cylinder - The volume of the three tennis balls.
The volume of the cylinder.
V(cylinder) = πr²h
where r is the radius and h is the height of the cylinder.
Since the can holds three tennis balls snugly, the height of the cylinder is equal to three times the diameter of a tennis ball.
= 3 × 2(3.5 cm)
= 21 cm.
V(cylinder)
= π (3.5 cm)² (21 cm)
= 2709.38 cm³
The volume of one tennis ball.
V (ball) = (4/3)πr³
where r is the radius of the tennis ball. Thus,
V(ball) = (4/3)π(3.5 cm)³ = 179.594 cm³
The total volume of the three tennis balls is:
V(3balls) = 3 V(ball)
= 3(4/3) π (3.5 cm)³
= 538.782 cm³
The volume of the can not be occupied by tennis balls.
V(not occupied) = V(cylinder) - V(3 balls)
= 2709.38 - 538.782
= 2170.598 cm³
The percentage of the can that is not occupied by tennis balls.
percentage = (V(not occupied / V(cylinder)) × 100%
= (2170.598 cm^3/2709.38 cm^3) × 100%
= 80.14%
Therefore,
The percentage of the can that is not occupied by tennis balls is approximately 80.14%.
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Please I need some answers
The product of two numbers is 1536.
If the HCF of the two numbers is 16.
find the LCM of these two numbers.
Work Shown:
LCM = (product of two numbers)/(HCF of the two numbers)
LCM = 1536/16
LCM = 96
Choose the definition for the function.
A.
C.
4x
2x + 2
-
43 2
73
2x - 2
-x-4
if x < 0
if x ≥ 0
if x < 0
if x > 0
B.
D.
2x + 2
-x+4
-x + 4
2x + 2
if x ≤ 0
if x > 0
if x < 0
if x > 0
Enter
The piecewise function for this problem is defined as follows:
B.
y = 2x + 2, x ≤ 0.y = -4/3x + 4, x > 0.How to define the function?The function is a piecewise function, as the function has different definitions based on the input of the function.
The different definitions for the graph are given as follows:
Left of x = 0. (closed). Right of x = 0. (open).To the left of x = 0, we have a linear function with intercept of 2 and slope of 2, hence it is given as follows:
y = 2x + 2, x ≤ 0.
To the right of x = 0, we have a linear function with intercept of 4 and slope of -4/3, hence it is given as follows:
y = -4/3x + 4, x > 0.
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Jason predicted that 227 students would attend the school dance.
The actual number was 250. What is the percent error of Jason's prediction?
.
1. What is the difference between the predicted value and the
actual value?
2. Complete the equation:__=p • ___
3. Solve the equation for p.
(I already did number one I just need help with 2 and 3)
Question 2
\(23=p \cdot 250\)
The difference is 23.The actual value is 250.Question 3
\(p=\frac{23}{250}=0.092\)
3x(x-3)=12 How do you solve this
Step-by-step explanation:
3x squared -9 = 12
3x squared = 12 + 9
3x squared = 21
am i doing the wrong maths?
is it find what 3x squared is or....
A general wishes to draw up his 7500 soldiers in the form of a square. After arranging, he found out that some of them are left out. How many soldiers were left out ?
If you want to form a square of 7500 soldiers, the side of the square must be \(\sqrt{7500}\approx86.6\) soliders.
But since you cannot have 0.6 solider, the general needs to find the closest perfect square to the number 7500 which is less than 7500.
That number is 7396 which when square rooted gives 86 soliders on the side.
Subtract 7396 from 7500 and get how many soliders were left out,
\(7500-7396=\boxed{104}\)
Hope this helps :)
A woman bought S shirts at $20 each and J jerseys at $ 15 each at a total Cost of $ 155. if however she had bought half as many Shirts, and twice as many jerseys, then the total Cost would have been $190. Evaluate S and J.
After solving the set of linear equation so formed, we conclude that value of "S" and "J" is 4 and 5 respectively.
As per the question statement, A woman bought "S" shirts at $20 each and "J" jerseys at $ 15 each at a total Cost of $ 155. However, the total cost would have been $190 if she had purchased half as many shirts and twice as many jerseys. We are supposed to find the value of "S" and "J"
Let us first form the set of linear equation so formed.
Cost of one shirt = $20
Cost of "S" shirts = $20 x S = 20S
Cost of one jersey = $15
Cost of "J" jerseys = $15 x J = 15J
Total cost = $155
20S + 15J = 155 is our first linear equation obtained.
Now if however she bought half as many Shirts, and twice as many jerseys, then the total Cost would have been $190 and the equation formed will be :
20(S/2) + 15(2*J) = 190
or 10S + 30J = 190, is our second equation
This question is a classic example of forming a set of linear equation in two variable out of any given statement.
Solving the two sets of equation we get, S = 4 and J = 5
Linear equation: An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation and if it is equation in two variables then both the variables will have linear power or power 1.To learn more about linear equation, click on the link given below:
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When the same constant is added to the numbers 60, 100 and 180 a three-term geometric sequence arises. What is the common ratio of the resulting sequence?
The common ratio of the resulting sequence is 1.4.
Given that, the three terms are 60, 100 and 180.
What is a geometric sequence?A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio of the geometric sequence.
Let the same constant is added to the given number is x.
60+x, 100+x and 180+x
Now, the common ratio is
(100+x)/(60+x) = (180+x)/(100+x)
⇒ (100+x)(100+x)=(180+x)(60+x)
⇒ (100+x)²=10800+180x+60x+x²
⇒ 10000+200x+x²=10800+180x+60x+x²
⇒ 10000+200x=10800+180x
⇒ 20x=800
⇒ x=40
The three number are 100, 140 and 220
The common ratio is 140/100 =1.4
Therefore, the common ratio of the resulting sequence is 1.4.
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area of a floor 19m by 12 m is
Answer:228m
Step-by-step explanation: 19m x 12m = 228m
Answer: 228m
Step-by-step explanation: Just multiply 19m by 12m. That's how you find area.
A sporting goods store records the sales of gloves over a 10-day period. They also record each day’s low temperature. The scatter plot shows the data and a good line of fit. The equation for the line of fit shown is y = -1.2x + 122. What is the y-intercept of the equation, and what does it mean?
The y- intercept represents the anticipated number of gloves vended on a day when the low temperature is 0 degrees.
The terms you mentioned are formerly included in the problem description. The y- intercept of the equation is the value of y when x = 0. In the given line of fit equation,
y = -1.2 x 122, the y- intercept is 122. The y- intercept represents the anticipated number of gloves vended on a day when the low temperature is 0 degrees. In this case, when the low temperature is 0,
the store is prognosticated to vend 122 gloves. Keep in mind that this is an estimate grounded on the line of fit and may not be an exact value.
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Ian suffered a loss of 10% when his watch was sold at $90. How much should he have sold his watch if he wanted to make a gain of 20%?
Explanation:
This problem is a simple percent chage problem. The absoluge change in price was $12−$8=$4. Relative to the original price, it was 412, which is 0.3333 or 33.33%.
The side lengths of a triangle are 12.5 inches, 4.4 inches, and 11.7 inches. Which statement best describes the triangle formed using these side lengths?
A.) The triangle is an acute triangle
B.) The triangle is a right triangle
C.) A triangle cannot be formed using these measurements
D.) It is impossible to determine the type of triangle
Answer:
The triangle is a right triangle
Step-by-step explanation:
a4.4 x b11.7=c12.5 a4.4=19.36 b11.7=136.89 12.5=156.25 if you add a squared and b squared you get 156.26 which means its an right triangle