The multiple of 2, 5, and 7, such that the sum of the 3 digits is 10 is:
630
How to find the number?We want to find a number that is a multiple of 2, 5 and 7, such that the sum of the 3 digits is 10. (such that the number is not 280)
So our number N is of the form:
N = a*(2*5*7)
Where a is an integer.
N = a*70
Here we just need to find the value of a such that the sum of the 3 digits of the outcome is equal to 10.
For example, if a = 2 then:
N = 2*70 = 140
The sum gives 1 + 4 + 0 = 5
Now we jut need to keep trying values of a.
Eventually, we will get to:
if a = 9 then:
N = 9*70 = 630
The sum gives: 6 + 3 + 0 = 10
So this is our number.
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Two sides of a triangle have the following measures. Find the range for the measure of the third side.
7,10
A.3 < x < 14
B.4 < x < 14
C.5 < x < 10
D.3 < x < 17
The possible values for the third side's measurement are3 < x < 17. Any two sides of a triangle's lengths added together must be longer than the third side.
How do you determine a triangle's perimeter?The third side of a triangle must always have a length that is between (but not exactly) the sum and the difference of the other two sides.Any two sides of a triangle's lengths added together must be longer than the third side.Each side of a triangle with sides a, b, and c must fall within the difference and total of the other two.For instance, side a must be between b-c and b+c or b-cab+c. The third side must fall between 10 -7 = 3 and 10 + 7 = 17.To learn more about Possible values third side of a triangle refer to:
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Hannah thinks of a whole number.
Rounded to the nearest 10, her number is 350
Rounded to 1 significant figure, her number is
300.
a) What is the smallest possible number
Hannah could be thinking of?
b) What is the largest possible number
Hannah could be thinking of?
The smallest possible number Hannah could be thinking of will be 351.
And, the largest possible number Hannah could be thinking of will be 355.
What is rounding off?Rounding numbers refers to changing a number's digits such that it approximates a value. The provided number is more simply represented by this value. For instance, 700,000 rather than 698,869 could be used to express a town's population.
Given that;
Hannah thinks of a whole number.
Rounded to the nearest 10, her number is 350.
And, Rounded to 1 significant figure, her number is 300.
Now,
Since, Hannah thinks of a whole number.
Rounded to the nearest 10, her number is 350.
And, Rounded to 1 significant figure, her number is 300.
Hence, We get;
The smallest possible number Hannah could be thinking of = 351.
And, The largest possible number Hannah could be thinking of = 355.
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URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100 POINTS!!!!!
The interior angles of triangle add up to give 180 degrees.
What is interior angle of triangle?The set of all points within a triangle, or all points in the convex hull of the triangle's vertices, is known as the interior of the triangle.
The three angles that make up a triangle's interior are referred to as its interior angles. The total of these three angles is always 180 degrees.
Here given two angles of triangle = 96° and 48°
We know that sum of interior angles = 180°
So x° + 96° + 48° = 180°
x + 144 = 180
x = 180 - 144
x = 36°
To find the value of y,
We know that angle over a straight line is 180°
So ,
96° + y° = 180°
y = 180 - 96
y = 84°
Therefore the value of x = 36° and y = 84° .
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Quadrilateral WXYZ has vertices W (-3, 6), X (4, -6), Y (-9, -6), and Z (-18,
6).
Type the coordinates for the point named after it is dilated through the
origin by a factor of one-half. (Type fractions using "/")
Point X: x=
y =
Answer: [tex]W'(-3/2, 3), X'(2, -3), Y'(-9/2, -3), Z'(-9, 3)[/tex]
Step-by-step explanation:
When dilating with a scale factor of [tex]k[/tex] centered at the origin,[tex](x,y) \to (kx, ky)[/tex].
The required dilation is given as for Quadrilateral W'X'Y'Z' as W'(-3/2, 2), X'(2, -3), Y'(-9/2, -3) and Z"(-9, 3).
Given that,
Quadrilateral WXYZ has vertices W (-3, 6), X (4, -6), Y (-9, -6), and Z (-18, 6). To determine the coordinates for the point named after it is dilated through the origin by a factor of one-half.
The scale factor is defined as the ratio of the modified change in length to the original length.
Here,
Quadrilateral WXYZ has vertices W (-3, 6), X (4, -6), Y (-9, -6), and Z (-18, 6).
Scale factor = 1/2
vertices W' (-3/2, 6/2), X' (4/2, -6/2), Y' (-9/2, -6/2), and Z' (-18/2, 6/2).
Thus, the required dilation is given as for Quadrilateral W'X'Y'Z' as W'(-3/2, 2), X'(2, -3), Y'(-9/2, -3) and Z"(-9, 3).
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Horold stores 10,656 pounds of grain for his 24 cattle. Each cow eats about 12 pounds of grain each day. How many days would the food supply last?
The total number of days for which the food supply will last is 37 days.
Given,
The number of days that the food supply would last is = ?
The number of pounds of grain = 10656 pounds
The number of cattle is = 24 cattle
The number of pounds eaten by each cow each day = 12 pounds.
Therefore if one cow eat 12 pounds a day then 24 cows=
12 × 24 = 288 pounds a day
Therefore if,
288 pounds = 1 day
10656 pounds = 10656/288
= 37 days
Therefore, the number of days that the food supply would last is 37 days.
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√16-√-2+√16 + √-200
what is that answer please
Answer:
√(16) - √(-2) + √(16) + √(-200) =
8 + 12.7279221 i
A construction worker's starting salary is $43,000. Each year she receives a $1100 raise.
A.) Let an be the construction worker's salary in the nth year. Write an explicit formula of the form an = bn + c to model this situation.
an = 41,900 + 1100n
B.) Find a10 = $ 52,900
C.) In what year will her salary be $55,100? __________
The salary is $55100 when [tex]a_n=55100[/tex].
[tex]55100=41900+1100n\\\\13200=1100n\\\\12=n[/tex]
So, her salary will be $55,100 after 12 years.
The salary is $55100 after 12 years.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that construction worker's starting salary is $43,000. Each year she receives a $1100 raise.
Therefore, an = 41,900 + 1100n
An explicit formula of the form an = bn + c to model this situation.
When n = 10,
= 41,900 + 1100n
= 41,900 + 1100(10)
= 41,900 + 11000
= 52,900
when an = 55,100
Then an = 41,900 + 1100n
55,100 = 41,900 + 1100n
1100n = 55,100 - 41,900
1100n = 13200
n = 13200/ 1100
n = 12
So, her salary will be $55,100 after 12 years.
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A machine in a factory can assemble 234 units in 3 hours. Matt wants to write an equation to represent this situation. He says that the independent variable is the number of units assembled; the dependent variable is the number of hours, and the constant of proportionality is 78.
What mistake did Matt make in finding the parts of the equation that represents this relationship?
A. He found the incorrect constant of proportionality.
B. He multiplied the constant of proportionality by the dependent variable.
C. He reversed the independent and dependent variables.
D. He multiplied the number of units by the number of hours instead of dividing.
Answer:
a
Step-by-step explanation:
enjoy!
Answer:
b
Step-by-step explanation:
A gym floor has a perimeter of
216 feet. What is the perimeter of
the floor in yards?
Answer:
Step-by-step explanation:
216÷3=72
72 is your answer
3. Three different bags of pretzels are sold at the store. Which bag of pretzels is the best buy? (1 pi
Bag A:10 ounces for $1.10
Bag B:12 ounces for $1.38
Bag C: 6 ounces for $0.84
O Bag A
© Bag B
6
© Bag C
O Bag A and Bag B are equally good values
Answer:
bag A
Step-by-step explanation:
10/1.10=9.09090909091
12/1.38=8.69565217391
6/0.84 7.14285714286
The average daily high temperature in June, in LA is 80°F with a standard deviation of 8°F. Suppose that the temperatures in June
closely follow a normal distribution.
(a) What is the probability of observing a 85°F temperature or higher in LA during a randomly chosen day in June?
The probability of observing an 85°F temperature or higher in Los Angeles during a randomly chosen day in June is 0.266.
We are given information about the temperatures in Los Angeles for the month of June. The average daily high temperature in June in LA is 80°F. The standard deviation in the temperature values is 8°F. The temperatures in June closely followed a normal distribution. We need to find the probability of observing an 85°F temperature or higher in Los Angeles during a randomly chosen day in June. Let the mean, standard deviation, value, z-score, and probability be represented by the variables M, S, X, Z, and P. First of all, we will find the z-score for the given temperature value.
Z = (X - M)/S = (85 - 80)/8 = 5/8 = 0.625
We want to find the probability for Z-values greater than or equal to the calculated z-score. We need to use the z-score table to find the corresponding probability.
P(z ≥ 0.625) = 0.26599
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Need answers fast, i believe in yall
Answer:
Name: TRIANGLE CONGRUENCE THEOREMS COMMON CORE GEOMETRY HOMEWORK REASONING 1. Which picture below that does not contain enough information to prove that AABCADEF? D (4) 2. In the following diagram, we know that AD a BC and 2. Which of the three theorems (ASA, SAS, or SSS) would be used to justify that AMBC ACDA? Explain your choice. 3. An additional theorem could be now stated: If two legs of one right triangle le are equal, respectively, to two legs of another right triangle, then the two right triangles are congruent. Which of the three major theorems (ASA, SAS, or SSS) would this be an extension of? Explain your choice. COMMON CORE GEOMETRY, UNIT a3-EtouDEAN TRIANGLE nor AND Cosstuimoss-Less #3 math instruction, RED HoOK, NY 12571,0 2018
Name: TRIANGLE CONGRUENCE THEOREMS COMMON CORE GEOMETRY HOMEWORK REASONING 1. Which picture below that does not contain enough information to prove that AABCADEF? D (4) 2. In the following diagram, we know that AD a BC and 2. Which of the three theorems (ASA, SAS, or SSS) would be used to justify that AMBC ACDA? Explain your choice. 3. An additional theorem could be now stated: If two legs of one right triangle le are equal, respectively, to two legs of another right triangle, then the two right triangles are congruent. Which of the three major theorems (ASA, SAS, or SSS) would this be an extension of? Explain your choice. COMMON CORE GEOMETRY, UNIT a3-EtouDEAN TRIANGLE nor AND Cosstuimoss-Less #3 math instruction, RED HoOK, NY 12571,0 2018
Step-by-step explanation:
There are 3 types of PercentProblems.
a) Number compared to the Base is unknown: x/100 = ?/b
b) Base Number is unknown: a/?= x/100
c) Percent is unknown: a/b = ?/100
Solve the following percent problems using the appropriate percent equation. Describe
the steps used to calculate each answer.
1) What distance is 24% of 710 miles?
2) 62 hours is what percent of 3 days?
3) 16% of what number is 8?
Answer:A. x= .100
Step-by-step explanation:because of the distance in miles
Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval $4≤x≤6$.
x f(x)
3 8
4 12
5 18
6 26
Answer:
7
Step-by-step explanation:
[tex]\frac{f(6)-f(4)}{6-4}=\frac{26-12}{6-4}=7[/tex]
Find the sum:
1
6
+ √6 =
The width of a rectangle is the length minus 1 units. The area of the rectangle is 72 units. What is the width, in units, of the rectangle?
Answer:
The width of the rectangle should be 8 units.
Calculation of the width:
Since The width of a rectangle is 1 units less than the length. The area of the rectangle is 72 units.
Here we know that
Area = (length) (width)
Here we assume length be x
So, width be = x - 1
So,
(x) (x - 1) = 72
(x + 8) (x - 9)
So, the width should be
= 9 - 1
= 8
hence,
Given the function, f(x) = x2 - 10x - 17, find the following: a) f(5) = b) f(0) =
Answer:
- 42 , - 17
Step-by-step explanation:
(a)
substitute x = 5 into f(x) , that is
f(5) = 5² - 10(5) - 17 = 25 - 50 - 17 = 25 - 67 = - - 42
(b)
substitute x = 0 into f(x)
f(0) = 0² - 10(0) - 17 = 0 - 0 - 17 = - 17
How do you solve this problem?? 5(x+6)- 5(7)
Answer:
Step-by-step explanation:
5x+30-35
5x-5
Answer:
[tex]5x[/tex] - [tex]5[/tex]
Step-by-step explanation:
Take a look at the attachment...
Hope this helps! :)
The following relation is a function.
true or false
help me please
Reason:
The x value x = 4 repeats itself. We have the input x = 4 lead to multiple outputs (y = 0 and y = 2) at the same time. This is enough evidence to conclude we do not have a function.
A function is only possible if any given input leads to exactly one output.
If you were to plot these points, then you should note (4,0) and (4,2) fail the vertical line test. To pass the vertical line test, it should be impossible to draw a single vertical line through more than one point.
1/3= round to the nearest hundredth
Determine the domain of the following graph:
The domain of given graph is [-8,8].
What is Domain of a function?The domain of a function is a set of all x values i.e. the numbers for which function is defined. All of a function's x-values, or inputs, make up the domain, and all of a function's y-values, or outputs, make up the range. When viewing a graph, the whole range of numbers from left to right comprise the domain.
As seen from the graph graph is limited from -8 to +8 that means the domain of the graph is [-8,8].
Or it can be written as [tex]-8\leq x \leq 8[/tex]
Therefore, the domain of the function is [-8,8].
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If a rectangular field is to have a perimeter that is at most 620 feet and the length is four times the width, what is the maximum width that the field can have?
Answer:
62feet
Step-by-step explanation:
perimeter=2(L+W) =620feetW=xL=4xP=2(4x+x)=62010x=620
x=62feet
The perimeter usually gives the length of the figure. In a square, which has al its sides equal, the perimeter of the square will be four times its sides. The maximum width of the rectangle is 62 feet.
What is perimeter of a rectangle?The perimeter of a rectangle is defined as the total distance covered by its boundaries or the sides. Since the rectangle is comprised of four sides, the perimeter will be the sum of all four sides. The perimeter is a linear measure and its unit is m, cm, feet, etc.
The equation used to calculate the perimeter of a rectangle is given as:
Perimeter = 2 (l + b)
Here l = length
b = breadth
Here the length is four times the width, l = 4x
Width may be b = x
Then perimeter is:
P = 2 (4x + x) = 620
10x = 620
x = 620 / 10 = 62 feet
Thus the width is 62 feet.
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please help me
Which measurements could create more than one triangle?
A. A triangle with sides measuring 5 cm and 10 cm and an included angle measuring 40°
B. A triangle with sides measuring 4 inches, 8 inches, and 15 inches
C. A triangle with sides measuring 6 inches, 8 inches, and 10 inches
D. A triangle with angles measuring 75°, 60°, and 45°
Answer:
D. A triangle with angles measuring 75°, 60°, and 45°
Step-by-step explanation:
Given various triangle descriptions, you want to know which one describes more than one triangle.
Triangle relationsThe angles and sides of a triangle satisfy a few different relations:
angle sum — the sum of angles is 180°triangle inequality — the sum of the two short sides exceeds the long sidelaw of cosines — c² = a² +b² -2ab·cos(C)law of sines — a/sin(A) = b/sin(B) = c/sin(C)ApplicationA. Two sides and the included angle can be used with the Law of Cosines to find the length of the third side. That is, a single triangle is created by these measurements.
B. Sides measuring 4, 8, and 15 do not satisfy the triangle inequality, so no triangle is created by these measurements.
C. Sides measuring 6, 8, and 10 satisfy the triangle inequality, so will create a single triangle. (That triangle is a right triangle.)
D. The given angles total 180°, so could be the angle measures of any number of triangles. At least one side length must be specified in order to completely define a single triangle. These measures create more than one triangle.
the highest amount that can be charged to your credit account is called?
A. credit limit
B. free period limit
C. minimum payment limit
D. APR limit
The highest amount that can be charged to your credit account is called credit limit and is therefore denoted as option A.
What is a Credit account?This is referred to as a type of banking arrangement which involves a customer receiving goods from a store and paying for them over a period of time.
The credit card which is linked to the account is used for such type of transactions and the highest amount that can be charged to it is known as credit limit which is therefore the reason why option A was chosen as the correct choice.
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Which event is least likely to occur?
A. Rolling a number less than or equal to 6 on an eight-sided die, numbered from 1 to 8.
B. Spinning a spinner divided into five equal-sized sections colored red/green/yellow/blue/purple and landing on some color.
C. Winning a raffle that sold a total of 100 tickets if you buy 29 tickets.
D. Reaching into a bag full of 10 strawberry chews and 50 cherry chews without looking and pulling out a strawberry chew.
By finding all the probabilities we will see that the event that is least likely to occur is the one in option D.
Which event is least likely to occur?Let's find the probability for each event.
A) The probability is computed as the quotient between the outcomes that meet the conditions for the event and the total number of outcomes.
Here the outcomes are {1, 2, 3, 4, 5, 6, 7, 8}
The outcomes that meet the condition (less than or equal to 6) are:
{1, 2, 3, 4, 5, 6}
So 6 outcomes out of 8 meet the condition, the probability here is:
a = 6/8 = 3/4 = 0.75
B) The probability here is 1, as all the outcomes meet the condition of "landing in some color"
C) If there are 100 tickets in total and you have 29, then the probability of winning is:
b = 29/100 = 0.29
D) There are 10 strawberry chews and 50 cherry chows, so the total number of candy is 50 + 10 = 60, and 10 of these are strawberry chews, then the probability of taking one of these is:
d = 10/60 =0.167
So the smaller probability is the one for event D, that is the correct option.
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PLEASE HELP ME 15 point
Simplify 6/7c − 5/9d − 1/2 c + 1/3d
A: 514c − 29d
B: 59c + 412d = 59c +13d
C: 59c − 412d = 59c −13d
D: 514c + 29d
Answer:
[tex]\frac{5}{14}[/tex] c - [tex]\frac{2}{9}[/tex] d
Step-by-step explanation:
Let f(x) = 4^x Evaluate the following:
The value of {f(-1)-f(3)}/(-1-3) is 255/16 when f(x) = [tex]4^{x}[/tex].
According to the question,
We have the following information:
f(x) = [tex]4^{x}[/tex]
Now, we will first find the values of f(-1) and f(3) and then we will put these values into the given operation in order to find its value.
f(-1) = [tex]4^{-1}[/tex]
Now, we will inverse this operation to have positive exponents:
f(-1) = 1/4
f(3) = [tex]4^{3}[/tex]
f(3) = 4*4*4
f(3) = 64
Now, we have f(-1)-f(3) in the numerator. So, we will solve this first:
1/4 - 64
(1-256)/4
-255/4
Now, putting all these values in the indicated operation:
(-255/4)/(-1-3)
(-255/4)-4
255/(4*4)
255/16
Hence, the value of {f(-1)-f(3)}/(-1-3) is 255/16 when f(x) = [tex]4^{x}[/tex].
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... what is the value of x , ...
... x + 7 = 11 ..
Step-by-step explanation:
x + 7 = 11
x + 7 - 7 = 11 - 7
x = 4
Hope this helps! :)
Answer:
[tex]\displaystyle 4[/tex]
Explanation:
Use the inverce of Addition [Deduction (or Subtraction)] to arrive at your answer:
[tex]\displaystyle x + 7 = 11 \hookrightarrow -7 + 11 = x \\ \\ 4 = x[/tex]
I am joyous to assist you at any time.
marbles are sold in boxes in bags or single marbles each has 10 bags or marbles in it each bad has 10 in it lesson 2.8
Find the measure of each marked angle.
The larger angle measures=
The larger angle in the straight line is 101°.
What is straight line angle?
A straight angle in mathematics is one with a sine angle of 180 degrees. Due to the fact that it resembles a straight line, it is called straight. Those angles that make a straight line are known as straight angle pairs. Each angle in this pair adds up to 180 degrees, regardless of how many angles make up the pair. A straight angle in geometry is one that is equal to 180 degrees. It looks like a straight line, hence the name "straight angle." It is an angle, then, whose sides are in the same straight line but opposite to the vertex.
We know that , In straight line angle at any point is 180°.
Here,
=> (14x+3)°+(11x+2)°=180°
=>14x+3+11x+2=180
=>25x+5=150
=>25x=180-5=175
=> x = 175/25 = 7.
Then , 14(7)+3=101° and 11(7)+2=79°.
Hence the larger angle is 101°.
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