the sum of 2 numbers is 21. one number is 18 less than two times the other. find the numbers.
Answers
hence the numbers are 8 and 13
hope it helps you!!!!!!!!
Final answer:
The two numbers that satisfy the conditions of summing up to 21 and one being 18 less than twice the other are 8 and 13.
Explanation:
To solve the problem, let’s denote the two numbers as x and y. According to the question, the sum of the two numbers is 21, which can be expressed as an equation: x + y = 21. Additionally, we are told that one number is 18 less than two times the other, which gives us another equation: x = 2y - 18.
We can use the method of substitution to solve these equations. First, we will solve the second equation for x, which we already have as x = 2y - 18. Then we will substitute this expression for x in the first equation: (2y - 18) + y = 21. Simplifying we get: 3y - 18 = 21. Adding 18 to both sides gives us 3y = 39. So, dividing both sides by 3 yields y = 13. Now that we have the value of y, we can substitute it back into the equation x = 2y - 18 to get x = 2(13) - 18 which simplifies to x = 8.
Thus, the two numbers in question are 8 and 13.
Related Questions
NEED HELP ASAP!!
20 POINTS and please explain if you can.
Answers
Answer:
x = 12 or A
Step-by-step explanation:
Tangents from an exterior point to the circumference of a circle are equal
Since one of the tangents = 17, the other one must as well
x + 5 = 17 Subtract 5 from both sides.
x + 5-5 = 17-5
x = 12
The answer is A
Which statements are true about finding the volume of the soup cans? Check all that apply.
A) The diameter is squared to find the area of the base of a cylinder.
B) The volume is the area of the base times the height.
C) Given the radius or the diameter, you can calculate the area of the base of a cylinder.
D) The height of a cylinder is the distance between the 2 parallel bases.
E) The radius is half the distance of the height.
Answers
Answer:
the answers are B, C, and D.
The given item soup can is a cylinder.
The volume of the cylinder is given as :
[tex]V=\pi r^{2} h[/tex]
Here 'h' is the height and 'r' is the radius.
So, the true statements are:
B) The volume is the area of the base times the height - The base of the cylinder is circular and the area of the circle is [tex]\pi r^{2}[/tex], so the volume is the area of base multiplied by height.
C) Given the radius or the diameter, you can calculate the area of the base of a cylinder - Yes as the area is [tex]\pi r^{2}[/tex] where 'r' is the radius.
D) The height of a cylinder is the distance between the 2 parallel bases. Yes this is right.
A basketball player makes half of his 3 throws. What are the chances he will make his next free throw?
Answers
I think it would be 50%
g(r)=−(r+11)(r+14)
1) What are the zeros of the function?
Write the smaller r first, and the larger r second.
smaller r____
larger r_____
2) What is the vertex of the parabola
(___,____)
Answers
1) What are the zeros of the function?
smaller r: -11, larger r: -14
2) What is the vertex of the parabola
Vertex: (-12.5, 3)
1. Zeros:
The zeros of the function occur when G(r) = 0. So we need to solve the equation:
-(r + 11)(r + 14) = 0
Since the product of two factors is zero when one or both factors are zero, we can set each factor equal to zero and solve for r:
r + 11 = 0 --> r = -11 (smaller r)
r + 14 = 0 --> r = -14 (larger r)
2. Vertex:
The function is given in factored form, which makes finding the vertex a bit easier. The vertex of a parabola in factored form is exactly between the two zeros.
Therefore, the x-coordinate of the vertex is:
(smaller r + larger r) / 2 = (-11 - 14) / 2 = -12.5
To find the y-coordinate (i.e., the function's value at the vertex), we can plug the x-coordinate of the vertex back into the function (G(r)). However, since the function is multiplied by -1, it might be easier to use one of the original zeros (say, r = -11).
G(-11) = -(-11 + 11)(-11 + 14) = 3 (notice how the negative sign cancels out)
please help ill give brainliest
Answers
Answer:
42
Step-by-step explanation:
Answer:
42 people chose Turkey
Step-by-step explanation:
Create a proportion:
22/28 = 33/x
Cross multiply:
28(33)/22 = x
42= x
Need help with this question in the image
Answers
Answer:
s a
6 3
22 1
30 0
Step-by-step explanation:
Download song .50
Download album = 4
Let s = number of songs
a = number of albums
She can spend 15 dollars
.5s +4a =15
If she downloads 6 songs, let s=6
.5(6) +4a = 15
3+4a = 15
Subtract 3 from each side
3-3+4a = 15-3
4a = 12
Divide by 4
4a/4 =12/4
a=3
She can buy 3 albums
If she downloads 1 album, let a=1
.5(s) +4(1) = 15
.5s +4=15
Subtract 4 from each side
.5s +4-4=15-4
.5s = 11
Divide by .5
.5s/.5 = 11/.5
s = 22
She can download 22 songs
If she downloads 30 songs, let s=30
.5(30) +4a = 15
15+4a= 15
Subtract 15 from each side
15-15 +4a = 15-15
4a=0
a=0
what is the midpoint of the segment shown below? (2,3) (10,3)
Answers
Answer:
6,3 hope I helped. :) :)
The coordinates of the midpoint of the line segment that has endpoints (2,3) and (10,3) are (6,3).
What are the coordinates of the midpoint of the line segment AB?Suppose we've two endpoints of a line segment as A(p,q), and B(m,n), then let the midpoint be M(x,y) on that line segment. Then, its coordinates are x =(p+m)/2 and y = (q+n)/2.
Given the endpoints of the line segment are A(-3,4) and B(-6,-1), then the coordinates of the midpoint will be,
x = (2+10)/2 = 12/2 = 6
y = (3+3)/2 = 6/2 = 3
Hence, the coordinates of the midpoint of the line segment that has endpoints (2,3) and (10,3) are (6,3).
Learn more about Midpoint:
https://brainly.com/question/5127660
#SPJ2
Convert 67,000 pounds to tons. Choose the words and numbers to complete the statements.
Answers
Answer: 33.5 tons
Direct conversion formula: 1 Tons (metric) / 2204.5855379189 = 1 Pounds
Opposite conversion: 67000 Pounds to Tons (metric)
At a local company, the ages of all new employees hired during the last 10 years are normally distributed. The mean age is 31 years old, with a standard deviation of 10 years. If you were to take a sampling of 10 employees, what is the probability your mean age will be at least 28? Round to the nearest percent.
Answers
Answer:
The probability your mean age will be at least 28 is 83%
Step-by-step explanation:
Let X denote the ages of all new employees hired during the last 10 years , then X is normally distributed with;
a mean of 31
a standard deviation of 10.
The sample size obtained is 10 employees. This implies that the sampling distribution of the sample mean will be normal with;
a mean of 31
a standard deviation of [tex]\sqrt{10}[/tex]
The sample mean is a statistic and thus has its own distribution. Its mean is equal to the population mean, 31 and its standard deviation is equal to [tex]\frac{sigma}{\sqrt{n} }[/tex]
where sigma is the population standard deviation, 10 and n the sample size which in this case is 10. [tex]\frac{10}{\sqrt{10} }=\sqrt{10}[/tex]
We are required to find the probability that this sample mean age will be at least 28;
P(sample mean ≥ 28)
Since we know the distribution of the sample mean we simply standardize it to obtain the z-score associated with it;
P(sample mean ≥ 28)
= [tex]P(Z\geq \frac{28-31}{\sqrt{10} } )=P(Z\geq -0.9487)[/tex]
=0.8286
As a percentage this is equivalent to, 83%
Find two fractions with a sum of 2/3 but with neither denominator equal to 3.
Answers
answer: 2/6 +2/6= 4/6 and 4/6 reduced down is 2/3 :)
The two fractions with a sum of 2/3 but with neither denominator equal to 3 is, 2/6 +2/6= 4/6 and 4/6 reduced down is 2/3.
What is fraction?A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.
here, we have,
2/3
= 4/6
=2/6 +2/6
Hence, The two fractions with a sum of 2/3 but with neither denominator equal to 3 is, 2/6 +2/6= 4/6 and 4/6 reduced down is 2/3.
To learn more on fraction click:
brainly.com/question/10354322
#SPJ2
Given: Ray BC bisects angle ABD.
Which pair of angles must be congruent?
A) ∠ABD & ∠EBD
B) ∠ABC & ∠DBE
C) ∠ABC & ∠DBC
D) ∠ABD & ∠CBDill mark brainliest if correct and give 50 pts.
Answers
Congruent is the same size and same shape. When a ray bisects an angle, the two newly created angles will be congruent, since the ray went right in the middle of the first angle (so in this case, ABC and DBC will be congruent)
Answer: C) ∠ABC & ∠DBC
Step-by-step explanation:
When a ray bisect an angle , then it divided the original angle into two congruent angles.
We are given that Ray BC bisects angle ABD.
Then, Ray BC divides ∠ABD into two congruent angles.
From the picture, The angle formed by it : ∠ABC & ∠DBC
So ∠ABC & ∠DBC must be congruent.
Hence, the pair of angles must be congruent : ∠ABC & ∠DBC
what is blank - 9 =19
Answers
Answer:
28
Step-by-step explanation:
19+9=28 and 28-9=19
Hope This Helps! Have A Nice Day!!
28 I think not positive
in the rectangular pyramid below , the length ,i , is 27cm , the width , w , is 30 2/3cm , and the height , h , is 9cm. What is the volume of the pyramid ?
Answers
Answer:
A. 2,484
Step-by-step explanation:
27×30 2/3× 9= 7,452
7,452÷3= 2,484
Volume of rectangular pyramid is 2,484.27 cm³
Given that;Length of pyramid = 27 cm
Width of pyramid = [tex]30\frac{2}{3}[/tex] cm = 30.67 cm
Height of pyramid = 9 cm
Find:Volume of rectangular pyramid = [(l)(w)(h)] / 3
Volume of rectangular pyramid = [(27)(30.67)(9)] / 3
Volume of rectangular pyramid = [7,452.81] / 3
Volume of rectangular pyramid = 2,484.27 cm³
Learn more:https://brainly.com/question/12449923?referrer=searchResults
Ashley use 3 yards of ribbon to wrap these presents how many feet and rub it did actually how many inches did she
Answers
Answer:
108 inches
Step-by-step explanation:
one yard = 36 inches
multiply 36 by 3
Answer:1 yd= 3 ft
12 inches= 1 ft
Set up a proportion:
1/3=3/x
1×3=3, so 3×3= 9 ft in 3 yds.
9/3=x/12
9×12= 108
9 ft and 108 inches
5x - 2y = 3
-5x + 4y = 9
Answers
The answer is (3,6) x=3 y=6
Answer:
x = 3 / y = 6
Step-by-step explanation:
5x - 2y = 3
-5x + 4y = 9
----------------- (combine the equations)
2y = 12
isolate the variable
y = 6
next, use one of the original equations and substitute in for y to solve for x
5x - 2(6) = 3
multiply
5x - 12 = 3
isolate the variable
5x = 15
divide each side by 5
x = 3
The length of a rectangular garden is represented by 3X -4 and the width is represented by 2X -5. Which of the following represents the total area of the garden
Answers
Answer:
6x^2 - 23x + 20
Step-by-step explanation:
Next time, please share all of the possible answer choices.
Here, A = (3x - 4)(2x - 5) = 6x^2 - 15x - 8x + 20, or
6x^2 - 23x + 20
Please help!!!
Use the equation below to find y, if m=8,x=4, and b=6
Equation: y=mx-b
Answers
Answer:
y=26
Step-by-step explanation:
We just subsitiute.
y=8(4)-6
8*4=32
y=32-6
y=26
Simplify the rational expression x^2-4/x^2+5x+6. State any restrictions on the variable.
Answers
Answer:
The correct answer is option B.
Step-by-step explanation:
The given rational expression is:
[tex]\frac{x^2-4}{x^2+5x+6}[/tex]
Factor the numerator and the denominator:
[tex]\frac{x^2-2^2}{x^2+2x+3x+6}[/tex]
Factor the numerator using difference of two squares and the denominator using factorization by grouping.
[tex]\frac{(x-2)}{x(x+2)+3(x+2)}[/tex]
[tex]\frac{(x-2)(x+2)}{(x+2)(x+3)}[/tex]
This function is defined if and only if the denominator is not zero.
That is: (x+3)(x+2)≠0.
x≠-2,x≠-3
We simplify now to obtain:
[tex]\frac{x-2}{x+3}[/tex]
The correct choice is the second option.
Option B is correct.
I just took the semester review.
What is the solution for the following system of linear equations? Give your answer in the form of an ordered pair.
3x + 2y = 5
4x − 9y = −5
Giving brainliest + 30 points!
Answers
Answer:
(1,1)
Step-by-step explanation:
3x + 2y = 5
4x − 9y = −5
Multiply the first equation by 4 and the second equation by -3 so we can eliminate x
4(3x + 2y) = 5 *4
Distribute
12x +8y = 20
-3(4x − 9y) = −5*-3
-12x +27y = 15
Add the two new equations together
12x +8y = 20
-12x +27y = 15
------------------------
35y = 35
Divide by 35
35y/35 = 35/35
y=1
Now we can find x
3x+2y =5
3x+2(1) =5
3x +2 =5
Subtract 2 from each side
3x+2-2=5-2
3x=3
Divide by 3
3x/3 = 3/3
x=1
(1,1)
dwight is 3 years older than twice his sisters age . how old is dwight (write the expression)
Answers
Answer:
Step-by-step explanation:
let dwight represent x nd his sister represent y
y+3x2=x
Answer:
I did not know that Dwight Schrute has a sisterrrrr
Step-by-step explanation:
Um just the other dude brainliest
A person invests 9000 dollars in a bank. The bank pays 6% interest compounded monthly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 14000 dollars?
Answers
Answer:
[tex]7.4\ years[/tex]
Step-by-step explanation:
we know that
The compound interest formula is equal to
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
[tex]t=?\ years\\ P=\$9,000\\ r=0.06\\n=12\\ A=\$14,000[/tex]
substitute in the formula above
[tex]14,000=9,000(1+\frac{0.06}{12})^{12t}[/tex]
[tex](14/9)=(1.005)^{12t}[/tex]
Apply log both sides
[tex]log(14/9)=(12t)log(1.005)[/tex]
[tex]t=log(14/9)/[(12)log(1.005)][/tex]
[tex]t=7.4\ years[/tex]
MARKING BRAINLEST HELP ASAP :))))))) SHOW WORK !!
The rectangle shown has a length of 3x+1 and a width of 2x. Show your work. (3 points)
Find the perimeter.
Find the area.
Find the perimeter and area if x=5.
Answers
Answer:
perimeter = 10x + 2
area = 6x^2 + 2x
perimeter = 52
area = 160
Step-by-step explanation:
perimeter = 2 * length + 2 * width
perimeter = 2(3x + 1) + 2(2x)
perimeter = 6x + 2 + 4x
perimeter = 10x + 2
area = length * width
area = (3x + 1)(2x)
area = (2x)(3x + 1)
area = 6x^2 + 2x
For x = 5:
perimeter = 10x + 2 = 10(5) + 2 = 50 + 2 = 52
area = 6x^2 + 2x = 6(5^2) + 2(5) = 6(25) + 10 = 150 + 10 = 160
Drag the values to order them from least to greatest, with the least at the top.
Answers
Answer:
√143 = 11.958
√79+√63 = 16.825
4π = 12.66
Im pretty sure this is correct since I used a calculator. Hope it helps
Percent Increase
Example 1: Ann works in a supermarket for $10.00 per hour. If her pay is increased to $12.00, then what is her percent increase in pay?
Analysis: When finding the percent increase, we take the absolute value of the difference and divide it by the original value. The resulting decimal is then converted to a percent.
Answers
Answer:
20% increase
Step-by-step explanation:
Percent increase = (difference) / original *100 percent
= (12-10)/10 * 100percent
= 2/10 *100 percent
= 1/5 * 100 percent
=.2 * 100 percent
= 20%
Is (1, 2) a solution of the system y > 2x and x+y<3?
Select one:
a. Yes, because (1, 2) is a solution to both inequalities.
b. Yes, because (1, 2) is the point of intersection of the two boundary lines of
this system.
c. No, because (1, 2) is a solution to only one of these inequalities.
d. No, because (1, 2) is not a solution to either inequality.
Answers
Answer:
d
Step-by-step explanation:
To determine if (1, 2) is a solution to the system
Substitute x = 1, y = 2 into the inequalities and check their validity.
y > 2x → 2 > 2 ← incorrect statement
x + y < 3
1 + 2 < 3 → 3 < 3 ← incorrect statement
(1, 2) is not a solution to either inequality → d
Which comparison is NOT correct?
2 > -3
-7 < -5
-9 < 1
0 < -4
Answers
2 > -3 (2 is greater than -3, this is true)
-7 < -5 (-7 is less than -5, this is true because -7 is more negative than -5)
-9 < 1 (-9 is less than 1, this is true)
0 < -4 (0 is less than -4, this is false because 0 is greater than -4)
Among the comparisons given, "0 < -4" is incorrect.
The student is asking which comparison is not correct. After evaluating each comparison, it becomes clear that 0 < -4 is not correct because 0 is not less than -4; in fact, 0 is greater. Other comparisons such as 2 > -3, -7 < -5, and -9 < 1 are all correct, as in each case, the number on the left side of the inequality is indeed larger (or smaller, for negative numbers) than the number on the right side as the symbol indicates.
To understand why 0 < -4 is incorrect, consider the number line where any number to the right is greater than the number to the left. Zero (0) lies to the right of any negative number, including -4, which means it is greater, not less.
Select the three sums equivalent to 13/
8.
Answers
Answer:
1.625
Step-by-step explanation:
philip ask julie to pick a number at random from 1 to 100, and then asks shelly to do the same. what is the probability that both will select 49? show your work
Answers
Answer:
[tex]\frac{1}{10000}[/tex]
Step-by-step explanation:
In probability, "AND" means Multiplication
"OR" means addition
There are 100 numbers from 1 to 100. Probability of picking 49 is 1/100 (since we want 1 specific number form 100 numbers).
Question is asking Probability that Phillip selects 49 AND ALSO Shelly select 49. since there is "AND", we just multiply both the probabilities of Phillip and Shelly.
[tex]\frac{1}{100}*\frac{1}{100}=\frac{1}{10000}[/tex]
A bag contains an orange tile, a yellow tile, and a purple tile. Two tiles are drawn randomly without replacement. If the first tile is yellow, find the probability of drawing a second tile that is orange.
PLEASE HELP ASAP IM TRYING TO GO TO RECESS LOL
Answers
Answer:
It's a 50% chance
Step-by-step explanation:
Answer:
1/3 most likely
Step-by-step explanation:
because you take out one tile and it only has one of each color so there are only three left so 1/3
when you save, you earn interest on your savings and even earn interest in the previous years interest what is the name for this type of interest brainly
Answers
Answer:
A
Step-by-step explanation:
The type of interest where you earn interest on your savings and even earn interest in the previous years interest is compound interest.
What is compound interest?
Compound interest is when both the amount saved and the interest already accured earn interest at the next date interest is being paid. Simple interest rate is the interest that is paid only on the amount saved.
To learn more about compound interest, please check: https://brainly.com/question/26367706