Answer: 1/10
Step-by-step explanation:2 * 1/5 is 2/5 and 1*3/10 is 3/10 and when you subtract them you get 1/10
Answer:9/10
Step-by-step explanation:get 2 1/5 into a improper fraction thats 11/5 then multiply by to for the common demontor thats 22/10
get 1 3/10 into a improper fraction 13/10
then minus 22-13 thats 9
then bring in the bottom 9/10 hope that helps
an angle measures 2.8 degrees more than the measure of its supplementary angle. what is the measure of each angle?
The measure of each of the supplementary angles are: 88.6° and 91.4°.
What are Supplementary Angles?Based on the definition of supplementary angles, the sum of two angles that are supplementary equals 180 degrees.
Given the following:
Let one of the angles equal x
The second angle would be expressed as: x + 2.8
Therefore, we would have the equation:
x + 2.8 + x = 180 [supplementary angles]
2x + 2.8 = 180
2x = 180 - 2.8
2x = 177.2
x = 177.2/2
x = 88.6
Thus:
One of the angles = x = 88.6°
Th second angle is: x + 2.8 = 88.6 + 2.8 = 91.4°
Therefore, the measure of each of the supplementary angles are: 88.6° and 91.4°.
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If B is the midpoint of ACand AB = 3x - 3 and AC = 9x - 15. find bc
Answer:
14
Step-by-step explanation:
B is the midpoint of AC, in other words it is the halfway point.
So A to B should be equal to B to C
Our expression is:
2x + 9 = 37
Subtract 9
2x = 28
Divide by 2
x = 14
Give the slope of a line that is perpendicular to the line −9x−y=−4 .
I'm stuck
Answer:
1/9
Step-by-step explanation:
[tex]y = - 9x - 4[/tex]
The slope of the perpendicular line is the interverse(opposite) of the slope of the original line.
Hope this helps!
Have any questions? Feel free to ask!
There are a total of 463,100 books in a library. What is the value of the exponent when this number is written in
scientific notation? Please hurry, thank you
Answer:
Step-by-step explanation:
Answer: 4.631*10^5
Step-by-step explanation:
463,100=
400,000+63,100=
4*100,000+(63,100/100,000)*100,000=
4*10^5+(631/1000)*10^5=
4*10^5+0.631*10^5=
(4+0.631)*10^5=4.631*10^5
The value of exponents when 463,100 is written in scientific notation is 5.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
Scientific notation is a way to represent numbers in exponents form of 10
For example 2.245 × 10³
Given that,
Number of books in library = 463,100
Multiply and divide by 10⁵
⇒ 463,100 × 10⁵/10⁵
⇒ 4.63100 × 10⁵
Hence "The value of exponents when 463,100 is written in scientific notation is 5".
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Statins are used to keep cholesterol in check and are a top-selling drug in the U.S. The equation:
S-1.8x=6
gives the amount of sales (S) of statin in billions of dollars a years after 1998. According to this equation, how much will/did people in the U.S. spend on statins in the year 2008?
Answer: People in the U.S. will spend
billion dollars on statins in 2008.
People of the US will spend 24 billons dollars on statins in the year 2008.
What is an equation?An equation sometimes represents the output for a given specified input.
The amount of sales(S) of a top-selling cholesterol control drug statin is given by the equation S - 1.8x = 6.
Assuming x represents the number of years.
In the given question number of years is (2088-1998) = 10 years.
now we have to substitute these values in the sales of statins which will be
S - 1.8(10) = 6 in billions of dollars.
S - 1.8(10) = 6 billion dollars.
S - 18 = 6 billions.
S = 6 + 18 billions.
S = 24 billion dollars.
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simple example of a literal equation
Answer:
E = mc²
Step-by-step explanation:
You want an example of a literal equation.
Literal equationA literal equation is one that uses variable names to represent numerical values.
Any equation that has no numbers is a literal equation.
One of the more famous literal equations in the world is Einstein's relation between mass and energy:
E = mc²
We use literal equations as formulas for length, area, volume, and relations between chemical and engineering properties.
P = 2(L+W) . . . . perimeter of a rectangle with length L and width W
V = I·R . . . . voltage in a circuit with current I and resistance R
PV = nRT . . . . ideal gas law relating pressure, volume, temperature, and quantity of gas
How can you round 493 and 917 to the underlined number
The rounding off a number of 493 is 490 and The rounding off a number of 917 is 920.
Rounding off number:
1)Round the number up if 5, 6, 7, 8, or 9 follow the number you are rounding.
2)Round the number down if the rounded number is followed by a 0, 1, 2, 3, or 4.
The given numbers are 493 and 917
The rounding-off number of 493 is
⇒493, The last number is 3, need to decrease and round off⇒490
The rounding-off number of 917 is
⇒917, The last numberis 7, need to increase and round off⇒920
Therefore, The rounding off a number of 493 is 490 and The rounding off a number of 917 is 920.
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how to solve this ; 4(x + y) = 48
Answer:
Step-by-step explanation:
First I would begin by dividing both sides by 4
4(x+y) = 48 4/4 = 1 48/4 = 12
x + y = 12
next I'm going to assume this is needed in y = mx+b format so I will solve for y by subtracting the x:
y = -x + 12
this line has a slope of -1 and has a y-intercept at 12.
By eating 1 egg, 1 cupcake, and 1 slice of pizza, a child consumes 300 mg of cholesterol. If the child eats 3 cupcakes and 4 slices of pizza, he or she takes in 82 mg of cholesterol. By eating 2 eggs and 1 cupcake, a child consumes 568 mg of cholesterol. How much cholesterol is in each item?
Answer: 300
Step-by-step explanation:
A small pizza has an area of
730
730730 square centimeters.
Write an inequality that describes
p
pp, the area of a pizza that is larger than a small pizza.
The inequality that describes p, the area of a pizza that is larger than a small pizza 730(seven hundred thirty) < p
What is inequality?
Inequality refers to the miracle of unstable and/ or unjust distribution of coffers and openings among members of a given society. The term inequality may mean different effects on different people and in different surroundings. The major exemplifications of social inequality include income gap, gender inequality, health care, and social class. In health care, some individuals admit better and further professional care compared to others.
From the information given, we have that;
Area of the small pizza = 730(seven hundred thirty) square centimeters
p = area of the larger pizza
In writing inequality, we have to use the signs
< less than
> greater than
Since p has a greater area, we have
730(seven hundred thirty) < p
Thus, the inequality that describes p, the area of a pizza that is larger than a small pizza 730(seven hundred thirty) < p
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Which is the same length as 4 kilometers
Answer:4000 meters
Step-by-step explanation: 1 kilometer =1,000 meters
through(–3, 8) and perpendicular to y=-1/4x-3
Answer:
it's is the way to do it
Step-by-step explanation:
the equation is X-4y-35
The expression 13 . 25 × 5 + 6 . 5 gives the total cost in dollars of renting a bicycle and helmet for 5 days. The fee for the helmet does not depend upon the number of days. a. What does 13.25 represent?
13.25 represents the fee for renting a bicycle for 1 day;
13.25 × 5 + 6.5 = Total Cost
Since, helmet's fee does not depend upon days;
13.25 represents the fee for renting a bicycle for 1 day;
For 5 days; 13.25 × 5 represents the fee for renting a bicycle for 5 days;
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[tex]\sqrt[3]{1000}[/tex]
given ∛1000
∛1000 = ∛(10 × 10 × 10)
∛1000 = 10
Define the set X = {(x,y)|x > 0,y ≤ √x}.
(a) Sketch the set X in a graph.
(b) Is the set X convex? Explain why or why not.
(c) Is it closed? Explain why or why not. (d) Is it bounded? Explain why or why not. (e) Is it compact? Explain why or why not.
The set X is convex.
In geometry, a subset of an affine space over the real numbers, or more broadly a subset of a Euclidean space, is said to be convex if it contains the entire line segment connecting any two points in the subset. A solid cube is an example of a convex set, whereas anything hollow or with an indent, such as a crescent shape, is not. Alternatively, a convex region is a subset that crosses every line into a single line segment.
b)The set X is convex as any two points on the set X is included in the whole set as x>0. So a line joining any two points on the set X is completely inside the set x.
c)set X is not a closed set as the compliment of the set is not an open set.
d)Set X is not bounded. If a set S contains both upper and lower bounds, it is said to be bounded. A set of real numbers is therefore said to be bounded if it fits inside a defined range. hence set x is not bounded.
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let's find the sizes of unknown angles in the following figures.
Answer:
if this shape has greater that's obtuse
24= 8 + 2 (y - 10)
step by step pls
Answer:
18
Step-by-step explanation:
Distribute the 2 to the terms inside the parenthesis.
24=8+2y-20
Combine like terms
24=2y-12
Add 12 to 24
36=2y
Divide by 2
18=y
Answer:
18
Step-by-step explanation:
24 = 8 + 2 (y-10)
24-8 = 8 + 2 (y-10) -8
16 = 2 (y-10)
16 = 2y - 20
16 + 20 = 2y -20 + 20
36 = 2y
36/2 = 2y/2
18 = y
Number between 300 and 350
Answer: 314
Step-by-step explanation: I am not sure what this question is asking me to do, but a number between 300 and 350 is 314, if that helps.
Only answer if you know you're correct 100%
The distance between -10 and 5 on a number line is 15
Distance between points on a number lineFrom the question, we are to determine the distance between the given points on a number line
The given points are -10 and 5
On a number line, the distance between any two points is the difference between the largest number and the smallest number
That is,
Distance between two points on a number line = Value of the largest number - Value of the smallest number
The given points are -10 and 5
The largest number is 5
and
The smallest number is -10
Thus,
Distance between -10 and 5 on a number line = 5 - -10
Distance between -10 and 5 on a number line = 5 + 10
Distance between -10 and 5 on a number line = 15
Hence, the distance between -10 and 5 on a number line is 15
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The answer and all work is shown in the provided screenshot! :)
Have a great day!
A toll-free consumer information line answered 105 of 120 questions in one day. What is the daily success rate of the information line?
The daily success rate of the toll-free answers is 87.5%.
What is described as a percentage?A percentage is a fraction of a whole represented as a number from zero and 100. Nothing is zero percent, everything is 100 percent, 50 per cent of everything is fifty percent, and nothing is zero percent.To calculate a percentage, divide this same portion of the total by the total and multiply by 100.Now, as per the given data;
The number of consumer information asked in one day is 120.
Total number of toll-free consumer's question answered = 105.
To find the daily success rate, determine the percentage of 105.
Let the x% of the total be 115.
Thus, x% of 120 = 105
x × 120/100 = 105
12x = 1050
x = 1050/12
x = 87.5 %
Therefore, the answer rate of the toll-free is 87.5%,
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Create a scaled copy of ABCD using a scale factor of 2.
The coordinates of the scaled copy of the quadrilateral ABCD using a scale factor of 2 are A'(x, y) = (1, 9), B'(x, y) = (5, 9), C'(x, y) = (3, 5) and D'(x, y) = (1, 7).
How to create a scaled copy of a quadrilateral
A picture of the original quadrilateral ABCD is attached aside and we are asked to generated a scaled copy of the quadrilateral ABCD using a scale factor of 2. First, we generate two orthogonal axes (x, y) and we assume that the center of dilation is at point A.
The coordinates of each point of the original quadrilateral are A(x, y) = (1, 9), B(x, y) = (3, 9), C(x, y) = (2, 7) and D(x, y) = (1, 8).
Second, determine the coordinates of the new quadrilateral by using the dilation formula:
P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]
Where:
k - Scale factorO(x, y) - Center of dilationP(x, y) - Original pointP'(x, y) - Dilated pointIf we know that O(x, y) = (1, 9) and k = 2, then coordinates of the dilated point are:
A'(x, y) = (1, 9) + 2 · [(1, 9) - (1, 9)]
A'(x, y) = (1, 9)
B'(x, y) = (1, 9) + 2 · [(3, 9) - (1, 9)]
B'(x, y) = (1, 9) + 2 · (2, 0)
B'(x, y) = (1, 9) + (4, 0)
B'(x, y) = (5, 9)
C'(x, y) = (1, 9) + 2 · [(2, 7) - (1, 9)]
C'(x, y) = (1, 9) + 2 · (1, - 2)
C'(x, y) = (1, 9) + (2, - 4)
C'(x, y) = (3, 5)
D'(x, y) = (1, 9) + 2 · [(1, 8) - (1, 9)]
D'(x, y) = (1, 9) + 2 · (0, - 1)
D'(x, y) = (1, 9) + (0, - 2)
D'(x, y) = (1, 7)
The coordinates of the scaled copy of the quadrilateral ABCD using a scale factor of 2 are A'(x, y) = (1, 9), B'(x, y) = (5, 9), C'(x, y) = (3, 5) and D'(x, y) = (1, 7).
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Whats 150 x 2 divided by 2?
Answer:
150 ?
Step-by-step explanation:
150*2 = 300 / 2 = 150
Answer:
the answer is 150
Step-by-step explanation:
150×2÷2
150×1
150
A submarine was a number of feet, f, below sea level. The submarine ascended to an elevation
of 0 feet above sea level. What must be true about the number of feet the submarine ascended?
The number of feet the submarine ascended is the same as the number of feet f below sea level.
What is a number line?A number line is a straight line with a zero point in the middle and positive and negative numbers listed on either side of zero and going on indefinitely.
We have,
The submarine is at feet f below sea level.
We represent the distance below sea level by a negative number.
We represent ascended by a positive number.
So the distance traveled by submarine is:
= Distance below sea level + Distance ascended
= (-f) + distance ascended
We have,
The submarine ascended to 0 feet above sea level.
This means,
The distance traveled by submarine = 0
Distance below sea level + Distance ascended = 0
(-f) + Distance ascended = 0
Distance ascended = f
Thus the number of feet the submarine ascended is same as the number of feet f below sea level.
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The amount of money earned varies directly as the number of hours worked. After working 14 hours, Joe earned $119. How
much would Joe earn for working 20 hours?
Joe earned $140 for working 20 hours
To determine the value of a single unit from a specified multiple, use the unitary technique. 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.
Joe worked 14 hours and earned = $119
Joe worked for 1 hour and earned = $ 119/ 14
Joe worked for 20 hours and earned = $ 119/ 14 x 20
= 4140
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pls answer report if wrong
Answer:
1/4
Step-by-step explanation:
12 cm x 1/4 = 3 cm
also i already learned scaled copys
Answer: The scale factor used in figure 2 is 1/4 or one fourth
Step-by-step explanation:
Hope this helps!
The mass of an oxygen molecule is about 0.000000000000000000000053 g. What is it’s scientific notation?
Answer:
5.3 x 10^-23 g
Find an equation of the line
Through (-3,-7); parallel to 2x + 3y = 5
Answer:
2x +3y = -27
Step-by-step explanation:
You want an equation for a line parallel to 2x +3y = 5 and through the point (-3, -7).
Parallel lineA parallel line will have the same slope as the given line, but will have different intercepts. In the standard-form equation given, that means the coefficients of the variables will be the same, but the constant will be different.
To make the constant appropriate for the given point, we use the (x, y) values of the given point to find it:
2x +3y = c
2(-3) +3(-7) = c = -6 -21 = -27
The desired equation is ...
2x +3y = -27
In each equation below, the letter x stands for an unkn
number x stands for. Write down exactly how you do it
1.
X/5=7
Answer:
[tex]x=35[/tex]
Step-by-step explanation:
Given the following question:
[tex]\frac{x}{5} =7[/tex]
When x is the numerator of the fraction you multiply each side by the denominator in order to isolate the variable.
[tex]\frac{x}{5} =7[/tex]
[tex]\frac{5x}{5} =x[/tex]
[tex]7\times5=35[/tex]
[tex]x=35[/tex]
Hope this helps.
Answer:
x = 35
Explanation and Chcek part below
Hope this helps :)
Step-by-step explanation:
x
Fraction bar/divide ---> --- = 7
5
1. Isolate the variable since it says dividing by 5 we must do the inverse operation which is multiplying by 5 to cancel them out. We are multiplying by 5 on one side of equation so we must multiply on the other side too. When a number is next to parenthesis it means to multiply the 2 numbers.
x
(5) -- = 7 (5)
5
x = 35
Check:
35
---- = 7
5
7 = 7
True statement.
What is the domain of the function expressed by this formula?
Y= 1/x - 7
Answer:
x cannot equal seven, there's a mark for it in RSM menu
Step-by-step explanation:
so the answer is y = -7
Find the values of x and y
(5x+4) (3x-24) (2y) 114
The values of x and y are 25° and 33° respectively.
How to determine the valuesIt is important to note the following;
Supplementary angles sum up to 180 degreesAngles on a straight line sum up to 180 degrees.From the information given, we have that
Angles 5x + 4 and 3x - 24 are supplementary.
This is represented as;
5x + 5 + 3x - 24 = 180
collect like terms
8x = 180 + 20
add lik terms
8x = 200
x = 200/8
x = 25°
Also,
2y and 114 are on a straight line
This is represented as;
2y + 114 = 180
collect like terms
2y = 180 - 114
2y = 66
Make 'y' the subject
y = 66/2
y = 33°
Thus, the values of x and y are 25° and 33° respectively.
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