The values of the two consecutive odd integers are 53 and 55.
Let the two consecutive odd integers be x and x+2.
Based on the information given, the equation to solve the question will be:
x(x + 2) = 2915
x² + 2x = 2915
x² + 2x - 2915 = 0
x² + 55x - 53x - 2915 = 0
x(x + 55) - 53(x + 55) = 0.
Therefore, x - 53 = 0
x = 0 + 53 = 53
x + 2 = 53 + 2 = 55
Therefore, the numbers are 53 and 55.
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why does the graph of a proportional relationship must pass through the origin (0,0)
Answer:
Directly proportional relationships always pass through the origin (0,0). There are other linear relationships that do not pass through the origin.
The graph of a proportional relationship must pass through the origin (0,0). Because of the value of k, the ordered pair (0, 0) satisfies this equation.
What is a graph?
The relation between lines and points is described by a graph, which is a mathematical description of a network. A graph is made up of some points and connecting lines. It doesn't matter how long the lines are or where the points are located. A node is specified for each element in a graph.
A ray is used to describe any proportional relationship using an equation of the form y = kx. The ordered pair (0, 0) satisfies this equation regardless of the value of k, hence the ray or line must traverse the origin.
Thus, the graph of a proportional relationship must pass through the origin (0,0). Because of the value of k, the ordered pair (0, 0) satisfies this equation.
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The tables represent two linear functions in a system.
What is the solution to this system?
у
0 (43, -25)
0 - 14.-54]
O (-13, -50)
O (-14, -54)
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From left to right for the tables :
[tex]1) \: \: \: \: y = 4x + 2[/tex]
And
[tex]2) \: \: \: \: y = 3x - 12[/tex]
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To find the solution we need to take equal above equations .
[tex]4x + 2 = 3x - 12[/tex]
Subtract sides 3x
[tex] - 3x + 4x + 2 = - 3x + 3x - 12 \\ [/tex]
[tex]x + 2 = - 12[/tex]
Subtract sides 2
[tex]x + 2 - 2 = - 12 - 2[/tex]
[tex]x = - 14[/tex]
Thus the x-coordinate of the solution must be -14 which is just in the last option.
Thus the correct answer is the last one.
Done...
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How many significant figures are in the number 0.00282
Step-by-step explanation:
has 3 (sig figs) and 5 decimals. see the additional (+) and subtraction (-) round by the last number of decimals or use scientific no ( e.g. 1.000 x 10^3 or 1.000e3)
does this graph represent a function?Hint: use vertical line test.
What is the solution to the equation 1/4x+2=-5/8x-5
multiply everything by 8
2x+16 = -5x-40
-16 on both sides
2x = -5x-56
+5x on both sides
7x = -56
x=-8
so the first option
Answer: x = -8
its just is lol
The result of which expression will best estimate the actual product of (Negative four-fifths) (three-fifths) (Negative StartFraction 6 over 7 EndFraction) (five-sixths)?
(Negative 1) (one-fourth) (Negative 1) (negative 1)
(Negative 1) (one-half) (Negative 1) (1)
(Negative StartFraction 4 over 2 EndFraction) (Three-halves) (Negative two-fifths) (Five-halves)
(Negative three-fourths) (Negative three-fourths) (Negative one-fifth) (One-half)
Answer:
The Answer Is B
Step-by-step explanation:
-4/5 = -1 (Rounded)
3/5 = 1/2 (Rounded)
-6/7 = -1 (Rounded)
5/6 = 1 (Rounded)
If your looking for the whole thing it would be:
(-1)[1/2](-1)(1) = x
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The result of which expression B will best estimate the actual product of (-4/5) × (3/5) × (-6/7) × (5/6).
What are arithmetic operations?The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.
It is given that the expression is, a product of Negative four-fifths) (three-fifths) (Negative StartFraction 6 over 7 EndFraction) (five-sixths),
= (-4/5) × (3/5) × (-6/7) × (5/6)
The final result of the given expression is,
= 360/1050
=0.34
The product of the given values in the expression B is obtained as the equivalent expression to the given values.
Thus, the result of which expression B will best estimate the actual product of (-4/5) × (3/5) × (-6/7) × (5/6).
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I can't solve this problem: 47 x 98= ( ? x 47)-(2 x 47)
Answer:
The answer to your question is:
2 and -49
Step-by-step explanation:
2 x -49 = -98
2 + (-49) = -47
x2 - 47x - 98 = 0
The solution to factor the quadratic equation above is:
(X + 2 ) (X - 49)
Since 2 and -49 multiply to -98 and add up -47, you know that the following is true:
x2 - 47x - 98 = (X + 2 ) (X - 49)
What is the value of x in the equation 1.5(x +4)-3 = 4.5(x -2)?
3
4
5
9
Answer:
Step-by-step explanation:
1.5x + 6 - 3= 4.5x - 9
1.5x + 3 = 4.5x - 9
Bringing like terms on one side
3 + 9 = 4.5x - 1.5x
12 = 3x
12/3 = x
4 = x
Option B is the correct answer
Andrew and Connie are both teachers at their local school. There are 15 female teachers at the school and 35 male teachers. What is the ratio of male to female teachers?
Answer:
7:3
Step-by-step explanation:
A person standing on a moving walkway travels 90 feet in 30 seconds. What equation represents this relationship? How many feet will the person travel in 10 seconds?
A. y = 3x; 30 feet
B. y = 9x; 90 feet
C. y = 1/3x; 3 feet
D. y = 3x; 3 feet
Answer:
What equation represents this relationship? How many feet will the person travel in 10 seconds? A. y = 3x; 30
Two real numbers are defined as x=0.555555555555555....
Y=0.4564556455564555..
Which is rational and which is irrational
Answer:
0.555555555555555 is a rational number
0.4564556455564555 is an irrational number
A kilometer is 1,000 meters because kilo is a prefix that means 1,000. The prefix mega means 1,000,000 and giga (as in gigabyte) means 1,000,000,000. One byte is the amount of memory needed to store one letter of the alphabet. About how many of each of the following would fit on a 1-gigabyte flash drive?
Answer: 10 megabytes
10,000 kilobytes
Step-by-step explanation:
8/12 the equibalent fraction
Answer:
An equivalent fraction for 8/12 could be 2/3
Step-by-step explanation:
It could be 2/3 because I divided 8 by 2 which is 4 and 12 by 2 which is 6 and the answer for that is 4/6 as a fraction, now notice how we could still divide the number by 2, so 4 divided by 2 is 2 and 6 divided by 2 is 3. So the answer as a fraction would be 2/3.
-Hope this helps
An equivalent fraction of 8/12 could be 2/3
1/8 as a decimal show how to do it
Answer:
0.125
Step-by-step explanation:
1/8 is the same as 1 ÷ 8
1 ÷ 8 = 0.125
I hope this helped!
Answer:
0.125
Step-by-step explanation:
how i do it it to multiply 125 by 8 that equals 1000. now, every 125 is 1/8 so there is your answer
The number 80 is decreased to 73. What is the percentage by which the number was decreased, to the nearest tenth of a percent?
Answer:
8.75 as 80-73 gives 7 and 7/80x 100= 8.73 by which is the percentage it is decreased.
Find the value of x for which m\\n
In first situation= =given angle + x=sum of angle of triangle. =110°+x=180°=70° X=70° Similarly, 2. condition can be solved i.e-x=144° There you go! Have a awesome day.
Cna someone help me plzz
what is the area of 5in and 1 1/3
Keith 1,342 cupcake rounds to 1,300 and joe 1,347 cupcake rounds to 1,350 who round to the nearest hundred?
Answer:
Keith
Step-by-step explanation:
When you are rounding to the nearest hundred it would NOT include a tens or ones value. So in this case 1,300 would be correct.
Hope that helps and have a great day!
Suppose you are working with a data set that is normally distributed, with a mean of 150 and a standard deviation of 48. Determine the value of x from the following information. (Round your answers and z values to 2 decimal places, e.g. 1.25.) (a) 60% of the values are greater than x.
Answer:
Step-by-step explanation:
Find the z-value with a left tail of 0.40
invNorm (0.40) = -0.2533
----
Find the corresponding x-value using x = z*s + u
x = -0.2533*20 + 400 = 394.93
Andre runs 14 miles in 2 hours. He bikes 72 miles in 3 hours. How many more miles does Andre bike than he runs in one hour?
Answer:
the answer is 17
Given the following functions: f(x) = x2 – 5 and g(x) = x - 3.
Find f(g(x))
Answer:
f(g)x))= x^2 -6x +4
Step-by-step explanation:
first, plug in g(x) into f(x): f(g)x)) =(x-3)^2 -5
then, you simplify the (x-3)^2 into (x-3)(x-3): f(g)x))= (x-3)(x-3) -5
when you distribute the two (x-3) you end up with: f(g)x))= x^2 -6x +9 -5
finally, you combine like terms and subtract 5 from 9 and your final answer is : f(g)x))= x^2 -6x +4
note: x^2 is x squared or exponent of 2
hello please will give brainliest!
Answer:
A.
Step-by-step explanation:
Just means for every 4 cans of soup, you need 3 pb jars
Cans of soup : jars of peanut butter
4:3
8:6
16:12
20:15
Kristen is going to hire a makeup artist
(Look at the photo please will name Brainlyest)
A group of students formed a circle during a game. The circumference of the circle was about 43.96 feet, and the diameter of the circle was 14 feet.
Which expression best represents the value of
π
?
A.
43.96
7
B.
43.96
14
C.
7
43.96
D.
14
43.96
Answer:
pi = pi
Step-by-step explanation:
Circumference = 2 * pi * r
Equation you need:
43.96 = 2 * pi * 7
43.96 = 2 * 7 * pi
43.96 / 14 = pi
pi = 3.14
Troy is building a ramp for his toy cars. The plank he is using for the ramp us 5ft long and is placed in a 3ft high box how far from the box is the bottom edge of Troy’s ramp in feet?
Answer:
Step-by-step explanation:
35
Another way to write (3x-4)^2?
The solution of which inequality is shown by the number line?
-7 -6
-5
-4
-3
-2
Both the numerator and denominator of 18/21 can be divided by ___.
1. 4
2. 6
3. 3
4. 2
3. 3 hope this will help you
Which of the following is closest to the value of the expression 3 x (square root of 2)?
Select one:
01.4
03.8
04.2
04.4
Answer:
4.2
Step-by-step explanation:
3 x (sqrt 2)
3 x (1.41421356237)
4.24264068712
4.2