The enrollment in college a may be modeled by y = 0.051x + 0.470, and the enrollment in college b may be modeled by y = –0.041x + 1.850, where x is the number of years since 1990 and y is the enrollment in thousands. when will the two colleges have the same enrollment and what is that enrollment?
In year 2005, both the colleges have same enrollments and the total number of enrollments are 1235 students.
What is Two Variable linear Equation?An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.
Here, given relation between enrollment year and total number of enrollment
y = 0.051x + 0.470 ..............(i)
y = -0.041x + 1.850 ................(ii)
On comapring eq. (i) and eq. (ii), we get
0.051x + 0.470 = -0.041x + 1.850
0.051x + 0.041x = 1.850 - 0.470
0.092x = 1.380
x = 1.380 / 0.092
x = 15
put the value of x in equation (i), we get
y = 1235
Thus, In year 2005, both the colleges have same enrollments and the total number of enrollments are 1235 students.
Learn more about Two variable equation from:
https://brainly.com/question/24085666
#SPJ2
someone help me on this question please
bob started mowing at 9:55 am .It took him 25 minutes to mow the front yard and 45 minutes to mow back yard.at what did bob finish mowing?
a small bunch of flowers costs $5 and a large bunch costs $20. what fraction of the cost of the large bunch is the small bunch
Rich is driving from Philadelphia to Pittsburgh at 70 mph and Michelle is driving from Pittsburgh to Philadelphia at 65 mph. If Philadelphia and Pittsburgh are 305 miles apart how long will it take rich and Michelle to meet?
Answer:
2 7/27 hours, about 2 hours 15 minutes, 33 seconds
Step-by-step explanation:
You want to know how long it takes for Rich and Michelle to meet if they start 305 miles apart and are driving toward each other. Rich is driving 70 mph, and Michelle is driving 65 mph.
Closing speedThe speed at which they are moving toward each other is ...
70 mph + 65 mph = 135 mph
Meeting timeThat means they will reduce their separation distance to zero after ...
time = distance / speed
time = (305 mi)/(135 mi/h) = 2 7/27 h
It will take 2 7/27 hours, about 2.26 hours, for Rich and Michelle to meet.
<95141404393>
Which expression is an equivalent expression of 12x + 10 + 4y? 2(6x + 2y + 6) 3(4x + y + 10) 2(6x + 4y + 8) 2(6x + 5 + 2y)
When changes in one variable are usually accompanied by changes in the same direction in another variable?
The number of books borrowed from a library each week follows a normal distribution. When a sample is taken for several weeks, the mean is found to be 190 and the standard deviation is 30. There is a % chance that more than 250 books were borrowed in a week. ©
Answer:
2.28%
Step-by-step explanation:
Let X be the number of books borrowed from a library each week
Given that X is normal with mean = 190 and std dev = 30
Thus Z score would be
Z=[tex]\frac{x-190}{30}[/tex]
Required probability or chance = P(X>250)
=P([tex]z>\frac{250-190}{30}[/tex]
=P(Z>2)
=0.5-0.4772
=0.0228
=2.28%
Answer:
2.5 for plato
Step-by-step explanation:
#platolivesmatter
"If you share 7 apples equally with 3 people, then there are 2 1/3
Answer:
Part A
"If you share 7 apples equally with 3 people, then there are
2 1/ 3 ..."
First, complete the sentence. Then, briefly explain what the whole number 2, the denominator 3, and the numerator 1 mean in this problem.
Step-by-step explanation:
here is the full question just say answer by commenting
The angle a vector makes with the x-axis of a coordinate system must be what size in order to make one or more of its components negative? A) Less the 30 degrees B) between 30 and 60 degrees C) between 61 and 90 degrees D) greater then 90 degrees
Answer:
Greater than 90 degrees.
Step-by-step explanation:
Let a vector R make angle [tex]\theta[/tex] with the x-axis. Then, the component along the x-axis would be
[tex]R cos\theta[/tex]
Component along y-axis would be
[tex]R sin\theta[/tex]
For [tex]0<\theta<90[/tex] both the components will be positive and lie in the first quadrant. If angle of vector is more than 90 degrees, one of the components would be negative. For example, angle between 90 to 180 degrees, x-component would be negative while between 180-270 degrees, both the components would be negative.
Pietro buys 20 candy bars for $6 he plans to sell all 20 candy bars in 1 day he need to make a profit of $10 per day to meet his fundraising goal how much must he charge for each candy bar?
Solve the inequality and graph its solution: 2t + 1 > 9 or –18 > 5t – 3
To solve the inequality and graph its solution, solve the two separate inequalities: 2t + 1 > 9 and -18 > 5t - 3. The solution is t > 4 or t < -3.6. Graph the solution by plotting the points 4 and -3.6 on a number line, and shading the area to the right of 4 and the left of -3.6.
Explanation:To solve the inequality and graph its solution, we need to solve the two separate inequalities:
1) 2t + 1 > 9
2) -18 > 5t - 3
For the first inequality, we can subtract 1 from both sides and divide by 2 to obtain t > 4.
For the second inequality, we can add 3 to both sides and divide by 5 to obtain t < -3.6.
Thus, the solution to the original inequality is t > 4 or t < -3.6.
To graph the solution, we would plot the points 4 and -3.6 on a number line, and shade the area to the right of 4 and the left of -3.6.
To solve the inequalities 2t + 1 > 9 and –18 > 5t – 3, we must solve each separately, and since it's an 'or' inequality, we combine the solution sets. The solutions are t > 4 and t < -3. Graphically, these solutions represent non-overlapping shaded regions on a number line.
Explanation:To solve the inequality 2t + 1 > 9 or –18 > 5t – 3, we need to consider them separately as each inequality represents a different solution set.
For the first inequality:
Subtract 1 from both sides to obtain 2t > 8.Divide by 2 to isolate t, yielding t > 4.For the second inequality:
Add 3 to both sides to get –15 > 5t.Divide by 5, which flips the inequality because we are dividing by a positive number, resulting in t < –3.We interpret these results as two separate conditions:
t > 4: This suggests that t is any value greater than 4.t < –3: This suggests that t is any value less than -3.Since the original statement uses 'or', the solution set includes all the values that satisfy either inequality. Therefore, graphically, we would show these on a number line with a shaded region to the right of 4 and another shaded region to the left of -3. The areas do not overlap because there are no t values that can simultaneously be greater than 4 and less than -3.
Read the line of poetry:
And the dish ran away with the spoon.
This line is an example of what term?
A.
alliteration
B.
personification
C.
onomatopoeia
D.
imagery
Please help I AM SO SCARED IF I FAIL THIS...
ABCD and JKLM are similar rectangles. What is the perimeter of JKLM?
21 m
22 m
24 m
28 m
Answer:
Step-by-step explanation:
21
The enrollment in college A may be modeled by y = 0.046x + 0.570, and the enrollment in college B may be modeled by y = –0.036x + 2.702, where x is the number of years since 1990 and y is the enrollment in thousands. When will the two colleges have the same enrollment and what is that enrollment?
In 1974, both colleges had an enrollment of 1,766 students.
In 2016, both colleges will have an enrollment of 1,766 students.
In 2012, both colleges will have an enrollment of 1,122 students.
In 1992, both colleges had an enrollment of 1,600 students.
Answer:
In 2016, both colleges will have an enrollment of 1,766 students.
Step-by-step explanation:
gradpoint
Mr. lee drove his car 297.6 miles while using 16 gallons of gas . How many miles does he get to the gallon ?
Zach has 53 flowers to plant. he wants to plant them in groups of 10s and 1s. zach can plant 10 flowers in each flower box. He can plant 1 flower in each pot. Zach only wants to plant a group of ten flowers in each box. Is there any way that zach could plant all 53 flowers using boxes only? Explain your answer.
Solution:
we are given that
Zach has 53 flowers to plant.
He wants to plant them in groups of 10s and 1s.
zach can plant 10 flowers in each flower box.
Zach only wants to plant a group of ten flowers in each box.
We have been asked to find Is there any way that zach could plant all 53 flowers using boxes only?
since zach can plant 10 flowers in each flower box. so in 5 boxes he can plant
50 flowers.
Now we have 3 left. These 3 can be planted in pot.
But he wants to use boxes only with 10 flowers in each box.
So its not possible to plant all 53 flowers using boxes only.
PLZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPP!
Using similarity solve for x. Show all work.
Find the equation of the line that has these features: slope, m=-6/5 passes through the point (-5,10)
2, 3, 6, 8, . . . is an example of an infinite alternating series. True False
Answer:
false
Step-by-step explanation:
took the test
is this correct....help me with the 2 questions
Fawn plants 2/3 of the garden with vegetables. Her son plants the remainder of the garden. He decides to use 1/2 of his space to plant flowers and in the rest he plants herbs. What fraction of the entire garden is planted in flowers?
Find the value of x. The diagram is not to scale.
A. x=70
B. None of these
C. x=20
D. x=16
I Need help please cmon
Which of the following graphs matches the circle defined by this equation ? (X+2)^2+(y-4)^2=9
This equation represents the circle having a radius of 3 units and a center situated at (-2, 4). Hence, graph D is correct.
Use the concept of a circle defined as:
A circle is a particular type of ellipse in mathematics or geometry where the eccentricity is zero and the two foci are congruent.
A circle is also known as the location of points that are evenly spaced apart from the center.
The radius of a circle is measured from the center to the edge.
The given equation of a circle is:
(X+2)²+(y-4)²= 9
Since we know that,
The general equation of the circle is,
(x-a)²+(y-b)²= r²
Where (a, b) is the center of the circle
r is the radius of the circle.
Now compare with the given equation we have,
(a, b) = (-2, 4)
And radius r² = 9
Then r = 3
Then this circle has a radius of 3 units and a center situated at (-2, 4).
Hence,
Graph D is correct.
To learn more about Circle visit:
https://brainly.com/question/29288238
#SPJ4
The complete question is:
Which of the following graphs matches the circle defined by this equation? (x-a)²+(y-b)²= r²
The table below shows the total cost for purchasing a certain number of equally-priced concert tickets. Total cost (in dollars) Number of concert tickets. the total costs in dollars are 110 275 440. the number in concert tickets are 2, 5, 8 Write an equation to describe the relationship between the total cost in dollars (c), and the number of tickets purchased (t),
Answer:
c = 55t
Step-by-step explanation:
Since there are no handling fees and the price of tickets is constant, we know the cost will be proportional to the number of tickets purchased. The generic form of an equation expressing a proportional relationship between cost (c) and number of tickets (t) is ...
c = kt
where k is the constant of proportionality (the cost per ticket). We can find k by using any of the data points given in the table. Using the first point, we have ...
110 = k·2
110/2 = k = 55 . . . . . divide by 2
Then using this value for k, the desired equation can be written ...
c = 55t
Quadrilateral ABCD is inscribed in this circle. What is the measure of angle C? Enter your answer in the box
https://static.k12.com/nextgen_media/assets/8120449-SUM_CR_GMT_SemB_06_UC_DP100_864_003.jpg
Find the equation of the tangent plane to the surface z=e−x/17ln(y) at the point (3,3,0.920883)
the dimensions of a porch are 16 feet long by 12 feet wide use the scale 1 inch=4 feet what is the width and length in inches
What happens to the force of gravity between two maser if they are moved father apart A. It increases. B. It decreases. C. It stays the same D. It fluctuates. ( Question two ) Earths path around the sun is ____. A elliptical. B circular. C . random. D. Triangular. (Question three). The asteroid belt separates what ? A. Sun and stars B. Earth in moon C. Inner and outer planets D. Milky Way from other galaxies ( Questikn four ) the tilt of the earth its axis causes ____. A. Day in night. B. The seasons. C. A year D. A month umm it right will mark brilliant