Find the digits x and y such that number 90x0y07 is divisble by 2017
No digit with the format 90x0y07 is divisible by 2017
How do determine the digits x and y?The given parameters are:
Dividend = 90x0y07
Divisor = 2017
The dividend is a 7-digit number, and the divisor is a 4-digit number
So, the quotient must be 3 to 4 digits.
Comparing the first and last digits of 90x0y07 and 2017;
The first and last digits of the quotient must be 4 and 1, respectively
So, we have:
90x0y07 = 2017 * 4a1
Assume a = 9.
So, we have:
90x0y07 = 2017 * 491
90x0y07 = 990347
The above is 6-digit.
So, we make use of a 4-digit quotient
This gives
90x0y07 = 2017 * 4ab1
Next, we make use of trial by error.
After several attempts, we conclude that no digit with the format 90x0y07 is divisible by 2017
The closest attempt is
90x0y07 = 2017 * 4471
90x0y07 = 9018007
Where:
x = 1, y = 0 and the digit between x and y is 8, not 0
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Find the missing side length of the triangle.
Answer:
c = 10
Explanation:
Use Pythagoras theorem: a² + b² = c²
where 'a' and 'b' are legs and 'c' is the hypotenuse (the longest side)
Here given: a = 8 cm, b = 6 cm, c = ?
Substituting values:
8² + 6² = c²
c² = 64 + 36
c² = 100
c = √100
c = 10
Answer:
10 cm
Step-by-step explanation:
[tex]a^2=b^2+c^2[/tex]
[tex]a^2=6^2+8^2[/tex]
[tex]a^2=100[/tex]
[tex]\sqrt{a^2}=\sqrt{100[/tex]
a=10
Choose the equation that satisfies the data in the table.
X -1
0 1
Y
0
-4 -8
-
OA. y = 4x - 4
OB.y = -x +4
Oc.y=x+4
D. y = -4x - 4
The equation that satisfies the data in the table is,
y = -4x - 4 [Option D]
Definition of an Equation:
An equation is defined as a mathematical assertion in which you use mathematical symbols to demonstrate the equality of two amounts. A combination of expressions with variables and constants on either side of the equality sign make up an equation.
The (x, y) coordinates from the given table are,
(-1,0), (0, -4), (1, -8)
Now, these points must satisfy the required equation.
Considering the first point (-1, 0), if we substitute these values of x and y coordinates in y=4x-4, the equality is no longer maintained.
Similarly, (-1,0) does not satisfy the second and third equations, that are, y = -x + 4 and y = x + 4, respectively, either.
Taking the fourth equation, y = -4x - 4
Putting x = -1 in this equation, we get,
y = -4(-1) - 4
y = 4 - 4
y = 0
Likewise, this equation satisfies the rest of the data in the table too.
Therefore, y = -4x - 4 is the required equation.
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please help me.--------------------------------
Answer:
tan 33° = 0.6494
C = 65°
Step-by-step explanation:
Use a calculator.
tan 33° = 0.6494
cos C = 0.4226
Use the inverse cosine function on a calculator.
C = 65°
23. Which equation translates y = | x | by 8 units to the left?
y = |x-81
y = |x + 81
y = |x|-8
y = |x | +8
Answer:
y = |x + 8|
Explanation:
Please see the table attached below.
Answer:y=|x+8|
Step-by-step explanation:
Solve 3[-x + (2 x +1)]=x-1
The result of the evaluation of the equation given in the task content is; x =-2.
What is the solution of the equation?It follows from the task content that the equation given whose solution is to be determined is;
3[-x + (2 x +1)]=x-1
The equation can be solved as follows;
-3x + 6x +3 = x-1
2x = -4
x = -2
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Find the area of a circle with radius, r =
6.05m.
Give your answer rounded to 2 DP.
r
The diagram is not drawn to scale.
m²
Answer:
Step-by-step explanation:
The area of a circle is πr²
so your area is 114.99
An igloo can be modeled as a hemisphere. Its radius measures 6.3 m. Find its volume in cubic meters. Round your answer to the nearest tenth if necessary.
The volume of the igloo is 523.43 m^3
How to get the volume of the igloo?We know that the volume of a sphere of radius R is:
[tex]V = (4/3)*pi*R^3[/tex]
Where pi = 3.14
Then the volume of a hemisphere is half of that.
In this case, we have a hemisphere with a radius of 6.3m, then the volume will be:
[tex]V = (1/2)*(4/3)*3.14*(6.3m)^3 = 523.43 m^3[/tex]
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From points a and b on level ground the angles of elevation of the top of a building are 25degree and 37 degree respectively. if [ab] =57m, calculate to the nearest metre, the distances of the top of the building from a and b if they are both on the same side of the building
The distance of the top of the building from a is 163m and that from b is 115m .
Calculating the Perpendicular Distance of the Top From Ground
It is given that the angle of elevations of the building top from a and b are 25° and 37° respectively.
ab = 57m
Let the top of the building be point c and the distance between the building and the point b be x. Then, from the figure, we can deduce the following,
In Δacd, tan 25° = cd/ad
⇒ 0.4663 = cd /(x+57)
⇒ cd = 0.4663(x+57) ......................... (1)
In Δbcd, tan 37° = cd/x
⇒ 0.7536 = cd/x
⇒ x =cd / 0.7536 .......................... (2)
Solving for the Distance cd
Substitute the value of in equation (2) to equation (1) to get,
cd = 0.4663 ((cd/0.7536)+57)
cd = 0.4663(cd+42.9552)/0.7536
0.7536cd = 0.4663cd + 20.03
0.7536cd - 0.4663cd = 20.03
0.2906cd = 20.03
cd = 20.03/0.2906
Thus, the distance cd ≈ 68.93m
Finding the Distance cb and Distance ca
In Δacd, sin25° = cd/ca
⇒ 0.4226 = 68.93/ca
ca = 68.93/0.4226
ca = 163.10
∴ The distance ca ≈ 163m
Similarly, in Δbcd, sin37° = cd/cb
⇒ 0.6018 = 68.93/cb
cb = 68.93/0.6018
cb =114.54m
∴ The distance cb ≈ 115m
Therefore, the points a and b are at a distance of 163m and 115m respectively from the top of the building.
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Hi Guys!
I need help ASAP
Answer:
8.
Step-by-step explanation:
P/Q = 3.125 = 3 1/8
- looks like the denominator Q could be 8.
It could not be any of the other choices.
25/8 = 3.125.
Graph and label each of the ordered pairs in the coordinate plane. Then state the quadrant
or axis in/on which the point is located.
55. A(2, 4)
56. B(0, -3)
57. C(1, -1)
59. E(-4,1)
61. G(-3,-2)
63. I(0, 2)
58. D(3, 3)
60. F(2,0)
62. H(-2, 3)
64. J(-1,-4)
The quadrants of the points are
Quadrant 1: Points A and DQuadrant 2: Points E and HQuadrant 3: Points G and JQuadrant 4: Points Cx-axis: Point Fy-axis: Point B and IHow to determine the quadrants?The points are given as:
A(2, 4) B(0, -3) C(1, -1)
E(-4,1) G(-3,-2) I(0, 2)
D(3, 3) F(2,0) H(-2, 3)
J(-1,-4)
Next, we plot each coordinate on a graph (see attachment)
From the attached graph, we have the following categories
Quadrant 1: Points A and D
Quadrant 2: Points E and H
Quadrant 3: Points G and J
Quadrant 4: Points C
x-axis: Point F
y-axis: Point B and I
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Equivalent ratios what’s the answer
3:6=
Step-by-step explanation:
you multiply both sides by the same factor, so that the main message or information, the ratio, stays the same :
3:6 × 2/2 = 6:12
3:6 × 1/3 / 1/3 = 1:2
3:6 × 4/3 / 4/3 = 4:8
3:6 × 100/100 = 300:600
so, these are all equivalent ratios. and there are infinitely more, as you can see.
A teacher gave a test to a class in which 10% of the students are juniors and 90% are seniors. The average score on the test was 84. The juniors all received the same score, and the average score of the seniors was 83. What score did each of the juniors receive on the test
Each junior receives 93 score on the test. It is also the average score of the juniors.
Given Information
It is given that 10% of the strength of the class consists of juniors and 90% consists of seniors.
Let us assume the total strength of the class is 100, then,
Number of seniors = 90
Number of juniors = 10
It is also given that the average score of the class = 84
And, average score of the seniors = 83
Another given information is that all the juniors all received the same score, which is their average score. Let it be x.
Average Score of Juniors
Total marks obtained by the seniors = Number of seniors × Average score of seniors
= 90 × 83
= 7470
Total marks obtained by the juniors = Number of juniors × Average score of juniors
= 10x
Average marks on the test = Total marks / Total number of students
⇒ 84 = (7470 + 10x)/100
⇒ 84 × 100 = 7470 + 10x
⇒ 10x + 7470 = 8400
⇒ 10x = 8400-7470
⇒ 10x = 930
⇒ x = 930/10
⇒ x = 93
Thus, each junior scores 93 on the test.
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Which equation represents a direct variation?
A.y = 0.5 x
B.x minus y = 5
C.x y = 5
D.y = x + 5
Answer:
A.
Step-by-step explanation:
i'm 99% sure
Answer:
A. y = 0.5x
Step-by-step explanation:
i got it right
Find the center and radius of the circle with the equation: (x-0^2 + (y+1)^2 = 4
a.
center: (-5, 1)
radius: 4
c.
center: (-5, 1)
radius: 2
b.
center: (5, -1)
radius: 4
d.
center: (5, -1)
radius: 2
The center and radius of the circle is (b) center: (-5, 1) radius: 2
How to determine the center and the radius?The circle equation is given as:
(x-5)^2 + (y+1)^2 = 4
The circle equation is represented as:
(x-a)^2 + (y-b)^2 = r^2
Where:
Center = (a,b)
Radius = 4
By comparison, we have:
(a, b) = (-5, 1)
r^2 = 4
This gives
(a, b) = (-5, 1)
r = 2
Hence, the center and radius of the circle is (b) center: (-5, 1) radius: 2
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The number of bagels sold daily for two bakeries is shown in the table.
Bakery A Bakery B
53 34
52 40
50 36
48 38
53 41
47 44
55 40
51 39
Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Why? Select the correct answer below. (5 points)
Group of answer choices
A) Mean, because there are no outliers to affect the data
B) Mean, because the distribution is perfectly symmetric for both bakeries
C) Median, because the distribution for Bakery B is not symmetric
D) Median, because there are outliers that affect both data sets
The correct statement based on the data is: A. Mean, because there are no outliers to affect the data.
What are Outliers?Outliers are data point that appears extreme from other data values of a data distribution. When there is an outlier in a data distribution, the median is a better measure of center, while the mean is best when outliers are absent.
From the data distribution for both bakeries, no data seem extreme from the rest of the data, therefore, the mean is a better measure of center.
The answer is: A. Mean, because there are no outliers to affect the data.
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explain how the following problem could be solved. then, solve the problem. a full-grown dog is about one-eighth as heavy as a cow. together, they weigh 360 kg.
The problem could be solved using the linear equation in one variable, x/8 + x = 360, where x kg is the weight of a cow.
The weight of the cow, on solving the equation, is found to be 320 kg.
The weight of the full-grown dog = (1/8)*320 kg = 40 kg.
We assume the weight of the cow to be x kg.
The weight of a full-grown dog is given to be one-eight of a cow, that is, the weight of a full-grown dog = (1/8)*x = x/8 kg.
Thus, the sum of the weights of the full-grown dog and the cow = x/8 + x kg.
But, we are given that together, they weigh 360 kg.
This can be shown as the linear equation in the one variable:
x/8 + x = 360.
Thus, the problem could be solved using the linear equation in one variable, x/8 + x = 360, where x kg is the weight of a cow.
To solve the problem, we solve the equation as follows:
x/8 + x = 360,
or, (9/8)x = 360 {Simplifying},
or, x = 360*8/9 {Cross-Multiplying},
or, = 320.
Thus, the weight of the cow, on solving the equation, is found to be 320 kg.
The weight of the full-grown dog = (1/8)*320 kg = 40 kg.
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What is the slope?
Please help!! Thankss
Answer:
slope = 2
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0,2) ← 2 points on the line
m = [tex]\frac{2-0}{0-(-1)}[/tex] = [tex]\frac{2}{0+1}[/tex] = [tex]\frac{2}{1}[/tex] = 2
Your dad says you can have a new puppy if you build the dog house. Before building, you need to determine the dimensions. Choose the dimensions of the base, the length, and the width of the dog house. Choose dimensions that you think are reasonable for whatever type of puppy you would get. Once you plan the base and walls, you need to decide on the height of the roof (represented by the dotted line in the image below). The roof is a triangle with two sides that are the same length.
Find the height of the roof using the dimensions you chose. You are hoping to put shingles on the roof and need to know what the square footage of the roof will be. Use the dimensions to calculate the area of the roof.
Hint: Remember to find the area of the entire roof.
The area of Entire roof is 12 feet².
What is Pythagorean theorem?The well-known Pythagorean Theorem states that the square on the hypotenuse of a right triangle equals the sum of the squares on its legs (the side opposite the right angle)
Given:
As, the roof peak with a 3 and the roof overhang the sides is 4.
Now, Using Pythagorean theorem.
a² + b² = c ²
15² + 13² = c²
c² = 225+ 169
c = 19.8 (or 20)
So, the length of diagonal is 24.
Roof Dimension 36 x 24 or (
Area of Roof = 3 x 2
= 6 unit²
and, area of the entire roof = 2 x6 = 12 ft²
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Analyze the diagram below and complete the instructions that follow. (7x - 3) (12x -7) Solve for x.
Answer:
Step-by-step explanation:
(7x-3)(12x-7)
we are solving for x and we are multiplying.
we start with the x's 7x*12x= 84x
-3*-7=21
so now we have
84x+21=0
the 0 is a placer for answering the question
we minus 21 to both sides
84x=-21
now we divide
84/-21= -4
x=-4
Ed records the temperature of two pots of water. The pots are the same size and material. Pot X has a temperature of 56 degrees Fahrenheit, and pot Y has a temperature of 49 degrees Fahrenheit. What conclusion can Ed make about the pots of water
Answer:
The water in pot X is hoter than that of pot Y
Answer:
A is the answer
Step-by-step explanation:
round to the hundredths pl[tex]2÷6.3[/tex]ace
The value of the expression [tex]2 \div 6.3[/tex] is 0.32
How to solve the expression?The expression is given as:
[tex]2 \div 6.3[/tex]
Rewrite as:
[tex]2 \div 6.3= \frac{2}{6.3}[/tex]
Multiply the expression by 10/10
[tex]2 \div 6.3= \frac{20}{63}[/tex]
Divide 20 by 63
[tex]2 \div 6.3= 0.31746031746[/tex]
Approximate to the nearest hundredth
[tex]2 \div 6.3= 0.32[/tex]
Hence, the value of the expression [tex]2 \div 6.3[/tex] is 0.32
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Select all the correct systems of equations. Which systems of equations have infinite solutions? 2x + 5y = 31 6x - y = 13 y = 14 - 2x 6x + 3y = 42 2x + y = 14 x = 13-2y Reset 2x + y = 10 -6x = 3y + 7 y = 13-2x 4x - 3y = -19 2x + y = 17 Next -6x = 3y - 51
Answer:
The system of equations y=14-2x and 6x+3y=42.
Step-by-step explanation:
Please see attachment to see the answer as a graph.
Hope this helps!
PLEASE HELP QUICK!!!!!!!
The Science Club arranged a trip tot he Smithsonian. Only 2/3 of the members were able to attend, which left one seat empty on the 25-passenger bus. How many members does the Science Club have?
Answer:
There are 36 members in the Science Club.
Step-by-step explanation:
25 minus one is 24 and half of 24 is 12. 12 times 3 is 36, which is the full 3/3 of the Science Club.
The tree diagram represents an experiment consisting of two trials. P(C) = [?]
The value of the probability P(A and C) is 0.18
How to determine the probability?The complete question is added as an attachment
From the attached tree diagram, we have:
P(A) = 0.6
P(C) = 0.3
The required probability is then calculated as:
P(A and C) = P(A) * P(C)
This gives
P(A and C) = 0.6 * 0.3
Evaluate
P(A and C) = 0.18
Hence, the value of the probability P(A and C) is 0.18
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Plss help give brainiest if right!
the speed of the boat going with a current is 20 mph. when the
boat goes against the current, the speed is 16 mph. find the speed of
the boat in still water and the speed of the current.
Answer:
The speed of the boat in still water is 18 mph.
The speed of the current is 2 mph
Step-by-step explanation:
Let x constitute the charge of the boat in nonetheless water.
Let y constitute the rate of the contemporary.
When the boat is going against the modern-day, the rate is sixteen mph. Assuming it traveled against the modern at the equal time as going upstream, its general speed may be (x - y) mph. It way that
x - y = 16 (equation 1)
Going downstream, the boat averages 20 mph. Assuming it traveled with the current, its standard pace would be (x + y) mph. It way that
x + y = 20 (equation 2)
Adding each equation, it becomes
2x = 36
x = 36/2
x = 18 mph
Substituting x = 18 into equation 1, it will become
18 - y = 16
y = 18 - 16
y = 2 mph
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How do I get started on the second part
The function to calculate the speed is S = 260.52/t.
How to illustrate the information?From the information given, there are 78 laps through the Monte Carlo and each lap has a distance of 3.34 km. Therefore, the total length of the race will be:
= 78 × 3.34
= 260.52km
The function to calculate the speed will be:
Speed = Distance/Time
S = 260.52/t
Complete question:
The famous Grand Prix has 78 laps through the Monte Carlo and each lap has a distance of 3.34 km.
a. What is the total length of the race?
b. Write a function that can be used to model the race where the independent variable represent the average speed.
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If the probability that the person A will be alive for 30 years is 0.7 and the probability that the person B will be alive for 30 years is 0.5, what is the probability that they both will be alive for 30 years?
0.24
1.2
0.15
0.35
Answer:
[tex]0,35[/tex]
Step-by-step explanation:
In view of the fact that our events are independent of each other, we should multiply their probabilities: [tex]P(A \cap B) = P(A) * P(B) = 0,7 * 0,5 = 0,35[/tex].
write the slope-intercept form of the equation of each line
1. x-3y = 6
2. 4x-y = 1
3. 6x+5y = -15
4. 13x- 11y =-12
Answer:
y = [tex]\frac{1}{3}[/tex]x - 2y = 4x - 1y = -[tex]\frac{6}{5}[/tex]x - 3y = [tex]\frac{13}{11}[/tex] + [tex]\frac{12}{11}[/tex]Step-by-step explanation:
The slope-intercept form is y = mx + b, where m represents the slope and b represents the intercept.
x - 3y = 6
3y = x - 6
y = [tex]\frac{1}{3}[/tex]x - 2
4x - y = 1
y = 4x - 1
6x + 5y = -15
5y = -6x - 15
y = -[tex]\frac{6}{5}[/tex]x - 3
13x - 11y = -12
11y = 13x + 12
y = [tex]\frac{13}{11}[/tex] + [tex]\frac{12}{11}[/tex]
The perimeter of a parallelogram is 180 cm. One side exceeds the other by 10 cm.
What are the lengths of adjacent sides of the parallelogram?
Answer:
One side is 40 cm and the adjacent side is 50 cm
Step-by-step explanation:
We can use a rectangle because a rectangle is a parallelogram. Draw a rectangle. Write the width as x and the length as x + 10. We find the perimeter by adding all 4 side lengths.
Two side lengths are x and two side lengths are x + 10. If we add all of this together we get 180
x +x +x+10+x+10 = 180
4x + 20 = 180 Combine the like terms. There are 4 x's and 10+10 is 20
4x = 160 Subtract 20 from both sides
x = 40 Divide both sides by 4
So, two sides are 40 and two sides are 50, this will add up to 180
Answer:
40 cm & 50 cm
Step-by-step explanation:
one side = X cm (??)
the other side =X+10 cm
Solve
2(x+x+10)=180
x+x+10=90
2x=80
x = 80/2
x=40
therefore
x+10=50cm