I can’t seem to understand this. I need 2 solutions and the work. If you could explain the work so I can do it in the future that would be great!!
Answers
Given:
Ethan is 23 years older than Evan
So, let Ethan is (x) years old
And Evan is (y) years old
So, the difference between them is 23 years old
so, x - y = 23
And the sum of Ethan and Evan's age is 43
so, x + y = 43
So, we have the following system of equations:
[tex]\begin{gathered} x-y=23 \\ x+y=43 \end{gathered}[/tex]add the equations to eliminate (y):
[tex]\begin{gathered} (x-y)+(x+y)=23+43 \\ 2x=66 \\ x=\frac{66}{2}=33 \end{gathered}[/tex]Now, substitute with (x) into the second equation to find (y):
[tex]\begin{gathered} 33+y=43 \\ y=43-33=10 \end{gathered}[/tex]So, the answer will be:
Ethan's age = x = 33
Evan's age = y = 10
Related Questions
Write the fraction as a percent. Round to the nearest tenth of a percent if necessary.1/6A) 60%B) 16.7%C) 1.7%D) 27.8%
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SOLUTION:
[tex]\frac{1}{6}=(\frac{1}{6}\times\frac{100}{1})\%=\frac{100}{6}\%[/tex]This can be simplified to give;
[tex]16.7\%[/tex]Please help me I’ll mark u brainly
Answers
Answer:
A: (-3,0)
B:(-3,-5)
C:(-6,0)
Step-by-step explanation:
invert the signs on all numbers to flip it 180 degrees, then add 4 to each y point to translate up 4
B(-3,-5)
C(-6,0)
Explain the meaning of 5!
a. 1+2+3+4+5
b.5-4-3-1-0
c.0×1×2×3×4×5
d. 5•4•3•2•1
Answers
The number 5 in mathematics denotes a quantity or value of 5. Five is the entire number between four and six. Five is the name of the number. Sam the little shows off five fingers.
What does 5 represent?The distance between 5 and 0 is the absolute value of 5. Then you go 1, 2, 3, 4, and 5. To the immediate right of zero, 5 is located. As a result, 5 has an absolute value of 5.
It denotes the sum of all succeeding integers, inclusively from 1 to 5.
That ' s 5! = 5*4*3*2*1 =120.
Also known as five factorials.
What's the name of a five-digit number?Ten-thousands
Answer and justification A five-digit figure is one that is in the tens of thousands. This is due to the fact that 10,000 is the smallest positive whole number with five digits.
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whats 2+2 i cant figure it out
Answers
Answer: 4
Step by step solution:
[tex]2+2=4[/tex]PLS HELP DUE TODAY THE IXL
Answers
Answer:
Step-by-step explanation:
Answer:
Temperature is usually measured on the Fahrenheit scale (°F) or the Celsius scale (°C). Use the formula F = 1.8C+ 32 to convert from one scale to the other. The highest temperature ever recorded in Virginia Beach, Virginia, was 104°F. Find the temperature in degrees Celsius. 219°C 26°C b. 155°C d. 40°C
Answers
Answer:
The temperature in degrees Celsius is;
[tex]40^0C[/tex]Explanation:
Given the formula for converting Temperature from Celsius to Fahrenheit as;
[tex]F=1.8C+32[/tex]Where;
F = temperature in Fahrenheit
C = temperature in Celsius
To convert from Fahrenheit to Celsius, let us make C the subject of formula;
[tex]\begin{gathered} F-32=1.8C \\ C=\frac{F-32}{1.8} \end{gathered}[/tex]To convert 104°F to Celsius, let us substitute the value into the derived formula;
[tex]\begin{gathered} C=\frac{F-32}{1.8} \\ C=\frac{104-32}{1.8} \\ C=40^0C \end{gathered}[/tex]Therefore, the temperature in degrees Celsius is;
[tex]40^0C[/tex]
Female
Male
Total
10
113
Snellville Stone
Mountain
12
14
26
316
10
20
30
Suwanee
8
16
24
Consider the following table with information about a sample of students from Phoenix High School and where they
live. If a person is randomly selected determine the following probability provided the condition: P(Female | Suwanee).
Total
30
50
80
Answers
If a person is randomly selected, the probability provided the condition is P(Female | Suwanee) is 1/3.
What is the probability?Probability is used to determine the odds in favor or against a random event happening. The odds in favor or against an event happening has a probability value that lies between 0 and 1.
The higher the odds of an event happening, the closer the probability value would be to 1. If it is equally likely that the event might happen or not happen, the probability value will be 0.5.
P (Female | Suwanee) is the probability that a person is female given that the person is from Suwanee.
P (Female | Suwanee) = total number of females from Suwanee / total number of people from Suwanee
8 / 24 = 1/3
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The number of yards Y is equal to the number of feet F divided by 3 find formula and graph it
Answers
Respuesta:
Si el número de yardas (Y) es igual al número de pies (F) dividido por 3, entonces podemos establecer la siguiente ecuación:
[tex]Y=\frac{F}{3}\text{.}[/tex]La gráfica de esta ecuación es una linea recta con pendiente 1/3 y que pasa por el origen, como sigue:
Graph the line 3x + 6y =12.
Use the line tool and select two points on the line.
Answers
Answer: First divide everything by 3 to make it simpler. Then subtract 12 on both sides to get the equation "x+2y-12 = 0. You can then graph this.
Step-by-step explanation:
Mr. Emmer gave a test in his Chemistry class. The scores were normally distributed with a mean of 82 and a standard deviation of 4. A student is randomly chosen. What is the probability that the student scores an 88 or below?
Answers
Answer:
93.32 %
Step-by-step explanation:
88 - 82 = 6 points
this is 6 /4 = z-score + 1.5
from z score table , this corresponds to .9332 or 93.32 %
Write Expression to represent the total area as the sum of the areas of each room
Answers
We are given the following areas:
The total area of the square is given by:
[tex]11(7+4)[/tex]If we apply the distributive property we get:
[tex]11(7+4)=11\times7+11\times4[/tex]Which is equivalent to determining the area of the interior rectangle and adding them together.
Answer:
11x7+11x4
Step-by-step explanation:
your welcome <3
Last year, Kaitlyn had $30,000 to invest. She invested some of it in an account that paid 5% simple interest per year, and she invested the rest in an account that paid 9% simple interest per year. After one year, she received a total of $2580 in interest. How much did she invest in each account?First account:Second account:
Answers
Answer:
She invested an amount of $3,000 in the first accont and $27,000 in the second account
Explanation:
Here, we want to get the amount invested in each of the accounts
To get this,let us write the simple interest formula
Mathematically, we have this as:
[tex]I\text{ = }\frac{PRT}{100}[/tex]Let the amount invested in the first account be $x, while that of the second account be $y
P represent the amounts invested
R is the rate of investment
T is the time (1 year)
The sum of these two is the $30000 she has to invest
Mathematically, we have this as:
[tex]x\text{ + y = 30000}[/tex]Let us get the interests on each of the accounts
For the first account, we have the interest as:
[tex]I_1\text{ = }\frac{x\times5\times1}{100}\text{ = }\frac{5x}{100}[/tex]For the second account, we have the interest as:
[tex]I_2\text{ = }\frac{y\times9\times1}{100}\text{ =}\frac{9y}{100}[/tex]The sum of these two is the interest value, which is as follows:
[tex]\begin{gathered} I_1+I_2\text{ = }\frac{5x}{100}+\frac{9y}{100}\text{ = 2580} \\ \\ 5x\text{ + 9y = 258000} \end{gathered}[/tex]So, we have two equations to solve simultaneously
The two equations are:
[tex]\begin{gathered} x\text{ + y = 30000} \\ 5x\text{ + 9y = 258000} \end{gathered}[/tex]We can solve this by substitution
Let us substitute for y
[tex]y\text{ = 30000-x}[/tex]Insert this into the second equation, we have this as:
[tex]\begin{gathered} 5x\text{ + 9(30000-x) = 258000} \\ 5x\text{ + 270000-9x = 258000} \\ 9x-5x\text{ = 270000-258000} \\ 4x\text{ = 12000} \\ x\text{ = }\frac{12000}{4} \\ x\text{ = 3,000} \end{gathered}[/tex]Recall:
[tex]y\text{ = 30000-x = 30000-3000 = 27000}[/tex]What this mean is that:
She invested an amount of $3,000 in the first accont and $27,000 in the second account
Find the interest and future value of a deposit of $8,750 at 3% for twenty years.
Answers
Answer
Interest = $5,250
Future value = $14,000
Explanation
Given:
Principal, P = $8,750
Rate, R = 3%
Time, T = 20 years
What to find:
The interest and future value.
Step-by-step solution:
The Interest
The interest can be calculated using the simple interest formula below.
[tex]Interest=\frac{P\times R\times T}{100}=\frac{\$8,750\times3\times20}{100}=\$5,250[/tex]The interest of $8,750 at 3% for twenty years is $5,250
The future value
Future value = Amount = Principal + Interest
Future value = $8,750 + $5,250
Future value = $14,000
f(x)=7x-3 for f(x)= -38
Answers
Answer:
f(x)= -269
Step-by-step explanation:
f(x)=7x-3
Since we know f(x)= -38, we can substitute x for -38.
So:
f(-38)=7(-38)-3
f(-38)= -266-3
f(x)= -269
Answer:
-7x=38+3
-7x=41/-7=5.8
A farmer is going to divide her40 acre farm between two crops. Seed for crop A costs $30 per acre. Seedfor crop B costs $15 per acre. The farmer can spend at most $1050 on seed.If crop B brings in a profit of $70 per acre, and crop A brings in a profit of $180 per acre, how many acres ofeach crop should the farmer plant to maximize her profit?acres of crop Aacres of crop B
Answers
Given: A farmer is going to divide her40 acre farm between two crops
To Determine: How many acres of each crop should the farmer plant to maximize her profit
Solution
[tex]\begin{gathered} x=acres\text{ for crop A} \\ y=acres\text{ fro corp B} \end{gathered}[/tex][tex]\begin{gathered} Therefore: \\ x+y\leq40 \\ 30x+15y\leq1050 \\ Profit\text{ functon is} \\ P=70y+180x \end{gathered}[/tex]The graph of the inequalitiesis as shown below
Neglecting the negative axis, the point that will maximize the profit are te points shown above with their coordinates
The coordinates will maximum profits are
[tex]\begin{gathered} Point1:(0,40) \\ Point2:(35,0) \\ Point3:(30,10) \end{gathered}[/tex]Substitute the 3 points into the profit functions to determine thepoint that will given the maximum profit
[tex]\begin{gathered} P=180x+70y \\ Point1 \\ P1=180(0)+70(40) \\ P1=0+2800 \end{gathered}[/tex][tex]\begin{gathered} Point2 \\ P2=180(35)+70(0) \\ P2=6300+0 \\ P2=6300 \end{gathered}[/tex][tex]\begin{gathered} Point3 \\ P3=180(30)+70(10) \\ P3=5400+700 \\ P3=6100 \end{gathered}[/tex]Hence, the point that will maximize profit is (35, 0), which is
35 acres of crop A, and
0 acre of crop B
The measure of an angle and it’s complement differ by 22 degrees. Find the larger angle.
Answers
The measure of an angle and its complement differ by 22 degrees and the larger is 56°
What are Complementary Angles?The total of the two angles' measurements determines their complement and supplement. The pair of angles is said to be complimentary if the product of the two angles equals the measurement of a right angle.
1. If the total of two angles equals 90°, the angles are considered to be complements of one another.
2. Let x° and y° be the two angles. Since they complement one another, the two angles' sum will be 90 degrees.
= x + y = 90°. (Assume equation 1 is used.)
3. The two angles differ by 22 degrees, hence the equation will be,
= x - y = 22°. (Put equation 2 in.
4. To determine the values of x and y, solve equations 1 and 2.
Add equations 1 and 2 together.
= x + y + x - y = 90 + 22,
= 2x = 112°,
= x = 56°.
5. In equation 1, change the value of x.
= 56° + y = 90°,
= y = 90 -56,
= y = 34°.
So, the measure of the two angles is 56°, and 34°.
And the larger angle is 56°
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HELPP PLEASE
Answers
Choose A
( A is the answer <3)
The model represents an equation. What value of x makes the equation true? Enter your answer in the box below
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the value of x are that makes it true
ANSWERS ASAP PLEASEEEEE
Answers
Answer:
y= -3x+3
Step-by-step explanation:
atleast I think so
Solve for x:
X=
76⁰
9x+1
40°
Answers
The value of x is 7 and the measure of unknown angle is 64°.
The angles of triangle are given 76°, (9x+1)° and 40°.
What is angle sum property of a triangle?Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.
Now, sum of three angles of a triangle is
76°+(9x+1)°+40°= 180°
⇒ 116+9x+1 = 180
⇒ 9x + 117 = 180
⇒ 9x = 63
⇒ x = 7
So, 9x+1=64°
Therefore, the value of x is 7 and the measure of unknown angle is 64°.
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During a physics lab, students added weights of different masses to aspring. After adding each weight to the spring, they measured how far theweight was from the lab tabletop, in centimeters. Then they graphed thedata and calculated the line of best fit to be y = -1 x + 10.25Weight Distance fromthe Tabletop (cm)108642Effect of Weightson a Spring0 50 100 150 200 250 300Mass (g)What does the x-intercept represent?-XAt 250 grams, the weight will touch thetabletop.With no weight, the spring is 10centimeters above the tabletop.The weight will be 250 centimetersabove the tabletop when the spring hasa mass of 10 grams on it.The spring stretches and the weight is 1centimeter closer to the tabletop forevery 25 grams added to it.
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Solution:
Given the graph below:
where the equation of the line of best fit is expressed as
[tex]y=-\frac{1}{25}x+10[/tex]The x-intercept represents:
The correct option is
Write the correct expression for the following statement.
The quotient of x and three
Answers
Answer:
[tex]\frac{x}{3}[/tex] or x/3 or x÷3
Find odds in favor of winning ring and find against winning the ring
Answers
We have a randomly selected prize out of 9 objects (4 rings, 4 headsets and 1 camera).
a) We have to calculate the odds in favor of Mary winning a ring.
The odds can be expressed as the proportion (or quotient) between the probabilities of winning a ring and the probabilities of not winning a ring.
This will also be equal to the number of outcomes that will be a ring (4 elements are rings) divided by the number of outcomes that are not a ring (5 elements are not a ring):
[tex]o_{wr}=\frac{4\/9}{5\/9}=4:5[/tex]b) Now, we have to calculate the odds against Mary winning a ring.
This will be the inverse of the previous result, as we have to divide the probability of not winning a ring by the probability of winning.
We can then write:
[tex]o_{nwr}=\frac{5\/9}{4\/9}=5:4[/tex]Answer:
a) 4 : 5
b) 5 : 4
in and perform the symmetry test on each of the folha (b) 9x - y = 9 (d) 25x - 36y? = 900 (1)-25x + 4y = 100 (h) -x + 4y = 16 endpoints of the conjugate axis fundament for each
Answers
therefore the center of the hyperbole is (0,0) and it's symmetry axis is the y-axis and the x-axis. The intercepts are (0,-1) and (0,1)
I am just all around confused with this. Well explanation needed!
Answers
Given:
m∠A = (4x - 2) degrees
m∠B = (11x + 17) degrees
Let's find the value of x if the angles A and B are complementary angles.
Complementary angles are angles that sum up to 90 degrees.
Hence, we have:
m∠A + m∠B = 90
(4x - 2) + (11x + 17) = 90
Let's solve for x.
• Remove the parentheses:
4x - 2 + 11x + 17 = 90
• Combine like terms:
4x + 11x - 2 + 17 = 90
15x + 15 = 90
• Subtract 15 from both sides:
15x + 15 - 15 = 90 - 15
15x = 75
• Divide both sides of the equation by 15:
[tex]\begin{gathered} \frac{15x}{15}=\frac{75}{15} \\ \\ x=5 \end{gathered}[/tex]Therefore, the value of x = 5
ANSWER:
x = 5
Recall that the volume of the a right circular cone with height h and radius …
Answers
Given:
The change in volume by time is, (dV/dt) = 10 cubic feet per minute.
The diameter and height of the right circular one are equal, 2r = h.
Height of the pile is, h = 21 ft.
The objective is to find the rate of increase in height of the pile.
Explanation:
The general formula of volume of cone is,
[tex]V=\frac{1}{3}\pi r^2h\text{ . . . . . (1)}[/tex]From the given data, radius of the cone can be calculated as,
[tex]\begin{gathered} 2r=h \\ r=\frac{h}{2} \end{gathered}[/tex]Substitute the value of r in equation (1).
[tex]\begin{gathered} V=\frac{1}{3}\pi(\frac{h}{2})^2h \\ V=\frac{1}{3}\pi(\frac{h^2}{4})^{}h \\ V=\frac{1}{12}\pi h^3\text{ . . . . . (2)} \end{gathered}[/tex]To find rate of increase in height of the pile:
Now, differentiate equation (2) with respect to time t.
[tex]\begin{gathered} \frac{dV}{dt}=\frac{\pi}{12}\times\frac{d}{dt}(h^3) \\ \frac{dV}{dt}=\frac{\pi}{12}\times3h^2\frac{dh}{dt} \\ \frac{dV}{dt}=\frac{\pi}{4}\times h^2\frac{dh}{dt}\text{ . . . . (3)} \end{gathered}[/tex]Substitute (dV/dt) and h in equation (3).
On plugging the obtained values in eqation (3),
[tex]\begin{gathered} 10=\frac{\pi}{4}\times(21)^2\frac{dh}{dt} \\ \frac{dh}{\mathrm{d}t}=\frac{10\times4}{21^2\times\pi} \\ \frac{dh}{dt}=0.02887164\ldots.\text{.} \\ \frac{dh}{dt}\approx0.029\ldots\text{ ft/min} \end{gathered}[/tex]Hence, the rate of increase in height of the pile is 0.029 ft/min.
What does the variable r represent?The population correlation coefficientThe sample correlation coefficientThe coefficient of determinationThe critical value for the correlation coefficient
Answers
Given:
Variable r
To determine the what variable r represents, we first note that it is a common way to indicate a correlation value. We also note that coefficient of determination, r^2, is simply the square of the sample correlation coefficient (i.e., r).
Therefore, variable r means:
The sample correlation coefficient
The length of the long leg in a 30°-60°-90° triangle is 3√2 cm. What is thelength of the short leg?
Answers
Answer
x = √6
Explanation
We will first sketch this triangle.
Let the short leg of the triangle be x
In a right-angle triangle, the side opposite the right angle is the Hypotenuse, the side opposite the given angle that is non-right angle is the Opposite and the remaining side is the Adjacent.
So, after noting the three sides in a right triangle, we will then use trignometric ratios to solve for any of the unknown. If the non-right-angle angle given is θ, the trignometric ratios in short forms are written as
SOH, CAH and TOA
SOH means Sin θ = (Opp/Hyp)
CAH means Cos θ = (Adj/Hyp)
TOA means Tan θ = (Opp/Adj)
So, the one to be used depends on the sides of the triangle that are provided.
For this triangle, using the angle 60° as the non-right-angle angle
Hypotenuse = ?
Opposite = 3√2
Adjacent = x
Angle = 60°
TOA means Tan θ = (Opp/Adj)
Tan 60° = (3√2)/x
Tan 60° = √3
Tan 60° = (3√2)/x
√3 = (3√2)/x
Cross multiply
x = (3√2)/(√3)
x = (√3) (√2)
x = √6
Hope this Helps!!!
Answer:
x = √6
Step-by-step explanation:
What is 78,600 rounded to the nearest thousand
Answers
Answer:
79,000
Step-by-step explanation:
:]
Answer:
79000.
Step-by-step explanation:
continued - calculating gross payRemember, this is money round to the nearest Penny/hundredths place.
Answers
ANSWER:
Regular pay is $383.2
Overtime rate is $14.37
Overtime pay is $114.96
Gross pay is $498.16
STEP-BY-STEP EXPLANATION:
Assuming the overtime multiplier is 1.5 and the standard work week is 40 hours. Therefore, we calculate the regular payment like this:
[tex]RP=40\cdot9.58=383.2[/tex]The overtime rate would be the value of the normal payment times the overtime multiplier, like this
[tex]OTR=9.58\cdot1.5=14.37[/tex]Then we multiply the number of additional hours to the 40 hours allowed, that is, 8 (48 - 40), for which one gives overtime pay
[tex]OTP=8\cdot114.96=114.96[/tex]Now the gross pay would be the sum of the regular payment with the overtime payment:
[tex]GP=114.96+383.2=498.16[/tex]