2x − 3x − 18 = -18 + 2x + 5x
Answer:
x=0
Step-by-step explanation:
\(2x - 3x - 2x - 5x = - 18 + 18\)
\( - 8x = 0\)
\(x = 0\)
a rectangle's length is 5 inches greater than its width. if the perimeter of the rectangle is 42 inches, find the length. (all answers are given in inches.)
A rectangle's length is 5 inches greater than its width. if the perimeter of the rectangle is 42 inches, then the length is 13 inch.
What is a rectangle?A rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.
here, we have,
a rectangle's length is 5 inches greater than its width.
if the perimeter of the rectangle is 42 inches
let, width = x
then, length = x+5
so, perimeter= 2(x+5 +x)
= 4x+10
ATQ, 4x+10 = 42
solving we get,
x=8
the length = 13
Hence, A rectangle's length is 5 inches greater than its width. if the perimeter of the rectangle is 42 inches, then the length is 13 inch.
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The sum of the digits of a two-digit number is seventeen. The number with the digits reversed is thirty more than 5 times the tens' digit of the original number. What is the original number?
Therefore, the original number is 10x + y = 10(10) + 7 = 107.
Given that the sum of the digits is seventeen, we have the equation:
x + y = 17 (equation 1)
The number with the digits reversed is thirty more than 5 times the tens' digit of the original number. The number with the digits reversed would be 10y + x.
According to the given information, we have the equation:
10y + x = 5x + 30 (equation 2)
To solve the system of equations, we can substitute equation 1 into equation 2:
10(17 - x) + x = 5x + 30
Expanding and simplifying:
170 - 10x + x = 5x + 30
170 - 30 = 5x + 10x - x
140 = 14x
x = 10
Substituting the value of x back into equation 1:
10 + y = 17
y = 7
Therefore, the original number is 10x + y = 10(10) + 7 = 107.
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what is the algebraic expression for , a number b divided by 36
Answer:
b/36
Step-by-step explanation:
1) Which expression is equivalent to 4 - (-7)?A 7 + 4B 4 - 7C-7-4D - 4 + 7
Answer:
\(4-(-7)=7+4\)Explanation:
Given the expression;
\(4-(-7)\)simplifying;
\(-\times-=+\)we have;
\(4+7=7+4\)Therefore;
\(4-(-7)=7+4\)Winter fills 2/5 of a water bottle in 1/4
of a minute. How many bottles can
Winter fill in 1 minute?
Answer:
1.6 (decimal), 1 6/10 (proper), and 8/5 (improper)
Step-by-step explanation:
If it’s 2/5 in 1/4 and to get one while you need four 1/4 you need to multiply to get how much it can fill in that 4/4. To do this multiply 2/5 by 4 which is 1.6 (decimal) and 1 6/10 fractional. Or if you want it improper, 8/5
Explain Polynomials I don't understand.
The tensile strength of a metal part is normally distributed with mean 40 pounds and standard
deviation 5 pounds.
a. What is the probability of failing to meet the specification limit of 45-pounds tensile strength? b. Based on the probability of a, if 50,000 parts are produced, how many would parts would not
meet the specification?
Using the standard normal distribution.
a) The probability of failing to meet the specification limit of 45-pounds tensile strength 15.87%.
b) The number of parts that would not meet the specification is 7,935.
a) Given that the tensile strength of a metal part is normally distributed with mean 40 pounds and standard deviation 5 pounds.
We have to find the probability of failing to meet the specification limit of 45-pounds tensile strength.
Using the standard normal distribution, we can find the probability of failing to meet the specification limit of 45 pounds as follows:
z = {45 - 40}/{5}
= 1
The probability of failing to meet the specification limit of 45 pounds is the probability that the standardized variable Z is greater than 1, which is given by:
P(Z > 1) = 0.1587
Therefore, the probability of failing to meet the specification limit of 45-pounds tensile strength is 0.1587 or 15.87%.
b) If the probability of failing to meet the specification is 0.1587, the probability of meeting the specification limit is
1 - 0.1587 = 0.8413
.If 50,000 parts are produced, then the expected number of parts that meet the specification limit is:
0.8413* 50,000 = 42,065.
Therefore, the number of parts that would not meet the specification is: 50,000 - 42,065 = 7,935.
Hence, about 7,935 parts would not meet the specification.
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Drag each situation to show whether it can be modeled using a linear or an exponential function. If the situation cannot be modeled with either function type, drag it into the container labeled Neither.
Answer: the savings account one is linear, the enrollment of students is linear, the investment is exponential as well as the cars value, the speed of the truck is neither (not fully sure) and the temperature outside is linear
Step-by-step explanation: linear means in a straight line without curves meaning if the question mentions percentages it’s automatically not linear as percentages tend to curve. Exponential means it curves which has direct connections to percentages and getting multiplied by
Hope this helps you
Ignacio and Kirsten want to find out if the triangle formed by connecting (-1,-1). (-3,2), and (2, 1) is a right triangle Ignacio's plan: . Use the distance formula to find the lengths of the sides. • Then see if the side lengths satisfy the equation a2 + b2 = c2 to see if it is a right triangle Kirsten's plan: • Find the slopes of the three sides. • See if any two slopes are negative reciprocals of each other Which student's plan will work?
Answer:
Both plans are correct
Step-by-step explanation:
I already did it
2 (x + 5) = } (x – 4)?
Help
Answer:
X= -14
Step-by-step explanation:
So we can first simplify the equation
2x+10=x-4
Now just solve i normally
x+10=-4
x=-14
So x is -14
Help mee on this part I’m stuck on this problem and I’m confused
Answer:
point D = (2, -4)
Step-by-step explanation:
It's asking the dot's location.
plz give answer and explanation
i will give 24 points
Answer:
please refer to the above attachment.
Step-by-step explanation:
a. 3800 + 2.5%3800 = 3895
3895 - 3800 = 95 is the interest
b. there are 12 months in a year so...
95 x 12 = 1140 is the total interest
The formula A-lw is used to calculate the area A of a rectangular surface using the length and the width
(w) of the surface. Which formula could be used to find w in terms of A and I?
Your friends and you go to Olive Garden for dinner. You all spend $55.65. You all leave a 15% tip. How much tip did you all leave?
Answer: You and your friends spent $8.35 for tips.
Step-by-step explanation:
The tendency to perceive meaningful patterns in random sequences of outcomes often leads us to underestimate the extent to which outcomes result from.
The tendency to perceive meaningful patterns in random sequences of outcomes often leads us to underestimate the extent to which outcomes result from CHANCE .
The word "chance" describes unpredictability or the unexpected in relation to things like events that happen without a clear reason why and without human intention.
The conclusion is that chance is the tendency of people to recognize different kinds of significant patterns in a random order or sequence in addition to evaluating any kind of outcome. Because chance can also result in an underestimating of a system's conclusion or result, it is crucial to consider it when conducting an investigation.
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The graph below shows the eye color for a classroom of students.
Answer:
it is Greater than because blue and green combined equal to 12
The circumference of the inner circle is 44 ft. The distance between the inner circle and the outer circle is 2 ft. By how many feet is the circumference of outer circle greater than the circumference of the inner circle? Use 22 over 7 for Pi (π.)
will give brainliest thingy to whomever answers this question corect first
The circumference of the outer circle is greater than the circumference of the inner circle by 44/7 feet.
What exactly is a circle?
A circle is a basic closed form made up of all points on a plane that are at a fixed distance from the centre. The radius is the distance between the centre and any point on the circle. A circle is often represented by the mathematical symbol "∘" or the equation (x-a)² + (y-b)² = r², where (a,b) is the center and r is the radius.
Now,
To find the circumference of the outer circle, we need to add the distance between the two circles to the circumference of the inner circle and then calculate the circumference of the resulting larger circle.
Circumference of the inner circle = πd = π*44 = 44π feet
Distance between the circles = 2 ft
Diameter of the larger circle = diameter of inner circle + distance between the circles = 44 ft + 2 ft = 46 ft
Circumference of the larger circle = πd = π(46) = 46π ft
Therefore, the circumference of the outer circle is greater than the circumference of the inner circle
by 46π - 44π
= 2*π feet=
=2*22/7=
=44/7 feet.
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The function C(t)=100*e^-0.000121t describes how to find the percentage of carbon-14, C(t), remaining in an object after t years. According to this information, what was the percentage of carbon-14 remaining in an object after 55 years? (Round your answer to the nearest hundredth.)
Answer:
99.34 years
Explanation:
Given function:
\(\sf C(t)=100*e^{-0.000121t}\)
Insert t = 55:
\(\sf C(55)=100*e^{-0.000121(55)}\)
Simplify following:
\(\sf C(55)=99.3367\)
Round to nearest hundredth:
\(\sf C(55)=99.34\)
Find the length of the third side. If necessary, write in simplest radical form
Answer:
5
Step-by-step explanation:
By the Pythagorean Theorem:
\( {x}^{2} + {10}^{2} = {(5 \sqrt{5} )}^{2} \)
\( {x}^{2} + 100 = 125\)
\( {x}^{2} = 25\)
\(x = 5\)
Write an equation of the line in slope intercept form y=mx + b
Rewrite the following equation in slope-intercept form. y + 2 = 1/10 (x + 10) Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = 1/10x - 1
Step-by-step explanation:
Slope-intercept form: y = mx + b
y + 2 = 1/10 (x + 10)
y + 2 = 1/10x + 1
y = 1/10x - 1
whats 2848x838449 / 294949 x 3848483 + 300,000,000
lets tal.k about school im bo.re.d
Answer:
\(\frac{597}{283750}+3*10^8\)
Step-by-step explanation:
\(((2848*838449)/(294949*3848483))+300,000,000\\or\\\frac{2848*838449}{294949*3848483}+300,000,000\\\\\frac{2.388*10^9}{1.135*10^{12} } +3x10^8\\\\\\\frac{597}{283750}+3*10^8\)
Answer: 31457261583.3
Step-by-step explanation:
an arithmetic sequence that outputs N terms, The general term expression is an=2*n-1, recurrence relation is an=an-1+2(common difference)
Please do C-language coding that represents all of this
EX)
Enter>10
The general term
1,3,5,7,9,11,13,15,19
recurrence relation
1,3,5,7,9,11,13,15,19
The following C code generates an arithmetic sequence with N terms using the given general term expression and recurrence relation:
#include <stdio.h>
int main() {
int N;
printf("Enter the number of terms: ");
scanf("%d", &N);
int sequence[N];
sequence[0] = 1;
for (int i = 1; i < N; i++) {
sequence[i] = sequence[i - 1] + 2;
}
printf("The general term: ");
for (int i = 0; i < N; i++) {
printf("%d ", sequence[i]);
}
printf("\nThe recurrence relation: ");
for (int i = 0; i < N; i++) {
printf("%d ", sequence[i]);
}
return 0;
}
The program starts by including the necessary header file stdio.h for input and output operations.
The main() function is defined, which is the entry point of the program.
A variable N is declared to store the number of terms inputted by the user.
The user is prompted to enter the number of terms using the printf() function and the input is read using the scanf() function.
An array sequence of size N is declared to store the arithmetic sequence.
The first term of the sequence is assigned as 1 (sequence[0] = 1).
A loop is started from i = 1 to N - 1 to calculate the remaining terms of the sequence.
Inside the loop, each term is calculated using the recurrence relation: sequence[i] = sequence[i - 1] + 2.
After calculating the sequence, the program prints the general term by looping through the sequence array and displaying each term using the printf() function.
Similarly, the program prints the recurrence relation by looping through the sequence array and displaying each term.
Finally, the return 0 statement indicates successful program execution and the program terminates.
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Can someone help me please and fast!?!?!
A school group went to a carnival on a field trip. The function c(x) represents the amount of money spent in dollars, where x is the number of students. Does a possible solution of (29.5, $212.50) make sense for this function? Explain your answer.
A. Yes. The input and output are both feasible.
B. No. Neither the input nor output is feasible.
C. No. The input is not feasible.
D. No. The output is not feasible.
Examining the word problem the correct option is C
Why the input is not feasibleTo determine if the solution (29.5, $212.50) makes sense for the function c(x), we need to check if the input and output values are feasible.
The input value of 29.5 represents the number of students who went to the carnival. Since the number of students must be a whole number, 29.5 is not a feasible input value. Therefore, we can eliminate options A and D.
The remaining options are B and C. We need to check if the output value of $212.50 is feasible for the function c(x). Since we don't have any information about the carnival pricing or discounts for school groups, we cannot determine if this amount is reasonable or not.
Therefore, we can say that the correct answer is option C
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I NEED HELP ASAP---MATH PIC IS ATTACHED THANKS! <3
Answer:
v
Step-by-step explanation:
its inbetween two points
Help me !!! Please!!
Answer: g (-6,7)
Step-by-step explanation:
Up 4 over 4 from k
The average Yorkshire terrier is 6 inches tall. However the
average Dalmatian measures 4 times taller than a Yorkshire
terrier. How tall is the average Dalmatian?
Answer:
4x6= 24inches tall
.............
Sally is serving lemonade to four friends. She is serving 4/7 cup per person.
Estimate how much lemonade she needs. Then calculate exactly how much she needs. What is the difference between the estimate and actual amount?
pls help, :)
Answer:
oi ngl levi is hawt I like your pfp ^^
Step-by-step explanation:
my name is Riley
What is the image of N for a 300° counterclockwise rotation about the center of the regular hexagon? Will give brainiest only if answered correctly with explanation
Answer:
H
Step-by-step explanation:
here, the question says that the given regular hexagon needs to be rotated counter clockwise 300°, considering the edges labels, each movement from one edge to other is 60° as 360/6 =60.
focus on N and move on anti clockwise.
When N rotates anti clockwise about center from original to position G, is 60°,
when N moves on anti clockwise about center from original to position A is 120°.
similarly, to X is 180°, to E is 240° and to H is 300°.
so, the new position of N when rotated anti clockwise about origin of the hexagon will be at H.