Answer:
0.4x
General Formulas and Concepts:
Algebra I
Terms/Coefficients/DegreesStep-by-step explanation:
Step 1: Define
-2.4x + 3.8x - x
Step 2: Simplify
Combine like terms: 1.4x - xCombine like terms: 0.4xPLEASE help I really have to get this right!
The population of a city increases by 4,000 people each year. In 2025 the population is projected to be 450,000 people. What is an equation that gives the city's population p (in thousands of people) x years after 2010?
A.p=4x+50
B.p-450=4(x-5)
C.p-15=4(x-450)
D.p=4x+15
3.) There are 3 brothers. The first brother is twice as old as the second. The second is twice as old as the third.
If the sum of their ages is 28, how old is each brother?
Answer:
The first brother is 16, the second brother is 8 and the third brother is 4.
Step-by-step explanation:
Since the sum of all the brothers is 28, that means the cap of how old the oldest can be is 28. I just stated with numbers less then 28 that were dividable by two which means all the numbers had to be. So 16 for the first, 8 for the second and 4 for the youngest is the right answer I hop.
Write each percent as a decimal and as a fraction in simplest form. 36. 200% 37. 135% 38. 152% 39. 0.03% 40. 0.45%
Answer:
2.0 , 2/1.
1.35 , 1 7/20.
1.52, 1 13/25
0.0003, 3/10000
0.0045, 9/2000
Step-by-step explanation:
1.35 = 1 35/100 = 1 7/20
1.52 = 1 52/100 = 1 13/25
0.0045 = 45/10000 = 1 9/2000.
Nicholas has some cans at home to donate to the soup kitchen, but he decides to start a can drive at his school to see if other students will help. The table represents the number of cans donated, y, which is dependent on the number of days cans are collected, x.
A 2-column table with 3 rows. Column 1 is labeled x with entries 4, 7, 10. Column 2 is labeled y with entries 955, 1660, 2365.
Find the linear equation that represents the scenario.
Answer:
y = 235x + 15
Step-by-step explanation:
Equation of a Line
The equation of the line in slope-intercept form is:
y=mx+b
Where:
m = slope
b = y-intercept.
The point-slope form of the equation of a line is:
y - k = m ( x - h )
Where m is the slope and (h,k) is a point through which the line passes.
We are given 3 points and we must provide the equation of the line that passes through them all in slope-intercept form.
Selecting the points (4,955) and (7,1660) we can calculate the slope of the line by using the formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\displaystyle m=\frac{1660-955}{7-4}=\frac{705}{3}=235[/tex]
Now we use the point-slope equation with the first point (4,955):
y - 955 = 235 ( x - 4 )
Operating:
y - 955 = 235x - 940
y = 235x - 940 + 955
y = 235x + 15
The third point (10,2365) should pass through this line. To verify, substitute:
2365 = 235(10) + 15 = 2350 + 15= 2365
Since the identity is true, the equation is correct:
Answer:
y = 235x + 15
Answer:
A
Step-by-step explanation:
The number of miles driven varies directly with the number of gallons of gas used. If 8 gallons of gas are used to drive 204 miles, how many miles can be driven on 18 gallons of gas?
Answer:
3672
Step-by-step explanation:
If 8 gallons of gas were used to drive 204 miles multiply 18x204=3,672 miles
The car be driven 459 miles on 18 gallons of gas.
What is linear proportionality?A quantity is said to be linearly proportional to another quantity, if the value of the first quantity varies linearly with the second quantity.
Given,
8 gallons of gas is used to drive 204 miles.
Also, the number of miles driven varies directly with the number of gallons of gas used.
Therefore, (number of miles)/18 = 204/8
number of miles = 18 × (204/8)
= 18 × 25.5
= 459 miles
Hence, the car be driven 459 miles on 18 gallons of gas.
To learn more about proportionality visit:
https://brainly.com/question/2548537
#SPJ1
Find an equation of the line perpendicular to the graph of 14x-7y=8 passing through the point at (-2,5)
Answer:
Equation of line perpendicular to given graph is:
[tex]y = -\frac{1}{2}x+4[/tex]
Step-by-step explanation:
Given equation of line is:
14x-7y=8
First of all, we have to convert the given equation into slope-intercept form to find the slope of the line
The slope-intercept form is:
[tex]y = mx+b[/tex]
Now
[tex]14x-7y=8\\14x-8 = 7y\\\frac{7y}{7} = \frac{14x-8}{7}\\y = \frac{14}{7}x - \frac{8}{7}\\y = 2x - \frac{8}{7}[/tex]
The co-efficient of x is 2 so the slope of given line is 2
Let m1 be the slope of line perpendicular to given line
The product of slopes of two perpendicular lines is -1
[tex]m.m_1 = -1\\2.m_1 = -1\\m_1 = -\frac{1}{2}[/tex]
The equation for line perpendicular line to given line will be:
[tex]y = m_1x+b\\y = -\frac{1}{2}x+b[/tex]
To find the value of b, putting (-2,5) in the equation
[tex]5 = -\frac{1}{2}(-2) + b\\5 = 1+b\\b = 5-1\\b = 4[/tex]
The final equation is:
[tex]y = -\frac{1}{2}x+4[/tex]
Hence,
Equation of line perpendicular to given graph is:
[tex]y = -\frac{1}{2}x+4[/tex]
can somebody please help me find this answer I will mark brainliest
Answer:
65 degrees
Step-by-step explanation:
The missing angle on the bottom is 35 degrees. This is because it lies on a straight line with the other angle being 145 degrees and a straight line is always 180 degrees, so 180-145=35 degrees. Now we have to find x so we should add the two known angles (35+80=115) and subtract it from 180 (180-115) to get 65 degrees for x.
Find the annual infiltration rate for the nearest 10th of a percent of a gallon of milk that increases the value from $1.51 to $2.03 over a period of seven years.
Answer:
7.429 cents
Step-by-step explanation:
Given that:
Price change = $1.51 to $2.03
Period of time = 7 years
Therefore, the annual inflation rate :
Difference in price / number of years
($2.03 - $1.51) / 7
$0.52 / 7
= 0.0742857 per year
= 0.0742857 * 100 (about 7.429 cents per year)
answer fast !!!!!!!!!
Answer:
(a^7)/64
Step-by-step explanation:
1/(8×8) × a^7=1/64 × a^7
in the spring temperatures rise on average 6 degrees every 5 days. at that rate how many degrees would the temperature have risen after 30 days
Answer:
Ok, this is pretty simple. So, if it rises 6 degrees every five days, then we have to figure out how many "five days" are in 30 days. It would be 6! So now all we have to do is multiply. 6 times 6 equals 36 degrees.
The answer is 36 degrees.
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
If it rises 6 degrees every 5 days, we just need to figure out how many 5 days are in 30 days. When you solve, you'll get 6. Now we can just multiply 6 x 6 = 36. Hope this helped, please mark brainliest if it did
In a class of 40 students, 26 are girls and 14 are boys. What is the ratio of girls to the total number of students?
Answer:
13:20
Step-by-step explanation:
no. of girls=26
total no. of students =40
ratio of girls to total no. of students=26:40
which means, the ratio is 13:20
The mean for this set of data is 18. Which number could be put in the blank to make this statement true?
16 10 22 ___
A. 84
B. 24
C. 48
D. 72
The mean of the data is 18 and the missing statement is x = 24
What is Mean?The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.
Mean = Sum of Values / Number of Values
Given data ,
Let the data be represented as A
Now , the value of A = 16 , 10 , 22 , x
Let the mean of the data be M = 18
To find the mean of the data set, we need to add up all the numbers and divide by the total number of numbers:
(16 + 10 + 22 + x) / 4 = 18
We can simplify this equation by multiplying both sides by 4 to get rid of the fraction:
16 + 10 + 22 + x = 72
Now we can solve for x by subtracting the three known numbers from both sides:
x = 72 - 16 - 10 - 22
x = 24
Therefore, the number that could be put in the blank to make the statement true is 24
To learn more about mean click :
https://brainly.com/question/15526777
#SPJ2
Create a quadratic equation that would have two real solutions. Then,
explain why it has two real solutions without solving the equation.
Answer:
Thinking graphically, these correspond to the graph of the straight line (a) missing the graph of the parabola entirely, (b) kissing the parabola at one point or (c) cutting across the parabola and coinciding with it at 2 points.
Step-by-step explanation:
Explanation:
Graphically, a quadratic equation is a parabola and a linear equation is a straight line.
i hope it helps
What is the expanded form of the expression ∑i=0⇵4 i^4? a) 0^2+4^2 b) 1^4+2^4+3^4+4^4 c) 0^4+1^4+2^4+3^4 d) 0^4+1^4+2^4+3^4+4^4
Answer:
Um what is this
Step-by-step explanation:
A caterpillar moves across the grass at a rate of 4 2/3 feet every 7 minutes. How fast does the caterpillar move in feet per minute?
Given:
A caterpillar moves across the grass at a rate of [tex]4\dfrac{2}{3}[/tex] feet every 7 minutes.
To find:
The rate of moving caterpillar in feet per minute.
Solution:
We have,
Distance covered by caterpillar is 7 minutes = [tex]4\dfrac{2}{3}[/tex] feet
Distance covered by caterpillar is 1 minutes = [tex]\dfrac{4\dfrac{2}{3}}{7}[/tex] feet
= [tex]\dfrac{\dfrac{4(3)+2}{3}}{7}[/tex] feet
= [tex]\dfrac{14}{3\times 7}[/tex] feet
= [tex]\dfrac{2}{3}[/tex] feet
Therefore, caterpillar move [tex]\dfrac{2}{3}[/tex] feet per minute.
help me please and thank you
Answer:
A 7.85 cm2 should be right
simplify 6(4x-2)+10 pls i need it
Answer:
2(12x-1)
Step-by-step explanation:
expand the expression
24x-12+10
add the constants
24x-2
take out 2, since it is common
2(12x-1)
(4n + 14) + (5 + 8n)
Answer:
12n+19
Step-by-step explanation:
(4n + 14) + (5 + 8n)
4n+14+5+8n
12n+19
Please help me if you can
Answer:
1)-9x^5 + 7x^2 + 3 2) -2x2 • (x - 7) 3) -23v^2 + 7v + 4 4) is just 7x
After swimming 55 feet below the surface of the water, a
fish swims up 30 feet. Use a number line to help you create
an equation that shows the new location of the fish in
relation to the water's surface.
-80 -70 -60 -50 40 -30 -20 -10 0
10
Interpret the sum in the context of the problem.
Answer:
c.
Step-by-step explanation:
when the fish swam down 55, you moved 55 to the left of zero. then when he swam 30 up, you take that 55 and move it 30 towards to the right. since -55 is greater than 30, your answer is still negative. -55+30=-25.
Answer:
C
Step-by-step explanation:
I will give anyone the brainliest correctly
Step-by-step explanation:
2% 0.2 1/3 0.8 3
these are the numebrs after being converted
0.02 0.2 0.3333 0.8 3
Which set of statements would describe a parallelogram that can always be classified as a rhombus?
I. Diagonals are perpendicular bisectors of each other
II. Diagonals bisect the angles from which they are drawn
III. Diagonals form four congruent isosceles right triangles
The sixth-grade class is competing in the school field day. There are 32 girls and 56 boys who want to participate. Each team must have the same number of girls and boys. What is the greatest number of teams that can be formed? How many boys and how many girls will be on each team?
Answer:
8 teams each team will have 4 girls and 4 boys
Step-by-step explanation:
We use GCD to solve this
the GCD of 32 and 24 = 8
8 is the greatest number of teams.
each team must have equal number of boys and girls so divided by two
8/2 = 4
4 girls and 4 boys
I have attached how to do GCD.
If you need any clarification or more explanation pls do mention at the comment section
Hope this helps and if it does pls mark as brainliest answer thx
3Y - 15 LESS THAN 7Y+ 6
Answer:
y>-9/4
use this site too, put in an any equation itll solve it in a second and give you a step by step thing to show you how to do it.
Yesenia swims laps at a pool. For every 10 laps she swims the backstroke, she swims 15 laps of freestyle. Which ratio shows the number of laps Yesenia swims the backstroke to the number of laps she swims freestyle?
A.2 : 3
B.2: 5
C.3: 2
D.5: 2
Answer:
10:15, which can be simplified to 2:3
Mr. Snow keeps a list of vocabulary terms that he wants his students to memorize from the textbook.
He began the year with 15 terms on the list. Of the 35 new terms in each chapter, Mr. Snow puts the definition of 10 terms on the wall and adds the remaining terms to the vocabulary list to be memorized.
question:
the number of terms on the vocabulary list can be represented by a linear function. Identify the rate of change and initial value of this function. Explain what these value represent in term of the situation.
Answer:
Step-by-step explanation:
35(6)x12=224
Find the sum of interior angles of a 10-sided figure. Explain what formula you used to get the answer.
Answer: 1440°
Step-by-step explanation:
To solve the above question, we'll use the formula (n-2) × 180. In this question, we are told that it has 10 sides. This implies that n= 10. Therefore, using the formula goes thus:
= (n - 2) × 180
where, n = 10
= (10 - 2) × 180
= 8 × 180
= 1440
Brian makes $40 per hour tutoring students in music
theory, and Rebecca makes $20 per hour walking
dogs. Last month, Brian worked for 5 fewer hours
than Rebecca did, and they earned a total of $1,300.
How many hours in total did they work at their
part-time jobs?
A) 25
B) 35
C) 45
D) 55
Answer:
55
Step-by-step explanation:
Answer: D.)
Step-by-step explanation:
40*5=200, This is Brians total $'s
1,300-200=1,100, This is Rebeccas total $'s
1,100/20= 55, This is the total hours worked.
2+0+3+4+9+6 ?? please
Hey there!
The answer is 24
2+0
2
2+3
5
5+4
9
9+9
18
18+6
24
Have a good day!
P.S. UMMMMMMMMM
Help? Show work!
Triangle PQR ≅ Triangle XYZ
PQ = 3a + 4 and XY = 5a – 12. Find a and PQ.
Given:
[tex]\Delta PQR\cong \Delta XYZ[/tex]
[tex]PQ=3a+4[/tex]
[tex]XY=5a-12[/tex]
To find:
The value of a and PQ.
Solution:
We have,
[tex]\Delta PQR\cong \Delta XYZ[/tex]
[tex]PQ\cong XY[/tex] (CPCTC)
So,
[tex]PQ=XY[/tex]
[tex]3a+4=5a-12[/tex]
Isolating variable terms, we get
[tex]3a-5a=-4-12[/tex]
[tex]-2a=-16[/tex]
Divide both sides by -2.
[tex]a=\dfrac{-16}{-2}[/tex]
[tex]a=8[/tex]
Now,
[tex]PQ=3a+4[/tex]
[tex]PQ=3(8)+4[/tex]
[tex]PQ=24+4[/tex]
[tex]PQ=28[/tex]
Therefore, the value of a is 8 and the value of PQ is 28.
