a graph artist created the design for a rectangular poster. the design is 12 inches by 9 inches. The poster is 48 inches by 36 inches. What scale factor did the graph artist use to create the design
Answer:
The ratio of the areas of the design and the poster is
(12*9):(48*36) = 1:16
plz i have 24 hrs to answer this... Pool X currently has 1,200 gallons of water and is being drained at a rate of 15 gallons per minute. Pool Y is currently empty and is being filled at a constant rate of 25 gallons per minute. Which inequality represents the situation when the amount of water in Pool Y is greater than the amount of water in Pool X? 1,200 - 15x > 25x
1,200 + 15x > 1,200 + 25x
1,200 - 15x < 25x
1,200 + 15x < 25x
=======================================================
Explanation:
Pool X has 1200 gallons of water in it. It is being drained at a rate of 15 gallons per minute. If lowercase x is the number of minutes, then it has 1200-15x gallons left in the pool.
Consider after 1 minute we have x = 1, so,
1200-15x = 1200-15*1 = 1200-15 = 11185
Then after 2 minutes we have x = 2, which means,
1200-15x = 1200-15*2 = 1200-30 = 11170
is the amount left over in gallons.
----------------
In contrast, Pool Y is empty and we add 25 gallons per minute. So we start with 0 and add on 25x getting 0+25x = 25x as the expression representing the amount of gallons of water in Pool Y
-----------------
So we found these two expressions
1200-15x25xto represent the amount of water (in gallons) for Pool X and Pool Y respectively.
We want to know when Pool Y will have more water. So we get to this final answer
1200 - 15x < 25x
It is in the form A < B, where A is the amount of water in Pool X and B is the amount of water in Pool Y.
Answer:
CStep-by-step explanation:
cause i got it right
In 2007, Linda purchased a house for $120,000. In 2017, the house was worth $245,000. Find the average annual rate of change in dollars per year in the value of the house
Answer:
$12,500
Step-by-step explanation:
Given that, Linda purchased a house for $120,000 in 2007 and the value of the house was $245,000 in 2017.
Total change in the value of house= $245,000- $120,000=$125,000.
Total time (in years) between 2007 and 2017 = 2017-2007=10 years.
The value of the house changes by $125,000 in the time interval of 10 years.
So, the average annual rate of change in the value of the house = $125,000/10=$12500 per year.
Hence, the average annual rate of change in the value of the house is $12,500.
What is the measure of angle A?
A.54
B.60
C.16.3662
D.66
E.126
Answer:
c.
Step-by-step explanation:
Check For Understanding
CELL PHONES A Cell phone company is going to build three new towers in a nearby city. The city council has
released s map that shows where the towers will be built. On the map, the distance between towers A and B is 2
centimeters, the distance between towers B and C 3 centimeters, and the distance between towers A and C is 4
centimeters. A technician needs to visit the stes of the three towers, and he has outlined his travel route between
them on a map. The polygon formed by his travel route on the map will be similar to the polygon formed by the
technicians he drives to the three towers. If the actual distance between tower Band tower C is 600 meters, how
for was the technican have to travel to visit all three cell phone towers?
Answer:
Distance between A ----> B : 2 cm
B ---> C: 3 cm : 600 meters
A----> C: 4 cm
3:600 meters scaled
So its 200 meters per every 1 cm!
From A to B : 400 meters
From B to C : 600 meters
Frok C to A: 800 meters
Therefore we sum 400+600+800= 1800 meters
Fred has one third of a cake. He shares it among 3 of his friends. How much cake does each friend get?
a one third cake
b one sixth cake
c one ninth cake
d one twelfth cake
Answer:
1/9 Is the answer
Step-by-step explanation:
Answer: C is the anwer ヾ(≧▽≦*)o
6th grade math i mark as brainliest
Answer:
138.8 is the answer
Step-by-step explanation:
i hoped it helped
Answer:
138.8
Step-by-step explanation:
214.8-76=138.8
hope u get it right
have a great day
What is the solution to the system of equations below?
Y= -1/3x +6 and x=-6
O (-6, 8).
O (-6, 4).
O (8, -6).
O (4, -6)
Answer:
O (8, -6)
Step-by-step explanation:
brainiest plz
Answer:
(-6,8)
Step-by-step explanation:
Have a good day
Allen has a 75 yard spool of yarn. He needs to cut the spool of yarn into 6 1/4
yard pieces of yarn.
How many 6 1/4
yard pieces of yarn can Allen create from the 75 yard spool of yarn?
A. 6 pieces
B. 12 pieces
C. 20 pieces
D. 36 pieces
Answer:
B. 12 pieces
Step-by-step explanation:
75 / 6 1/4 or 75 / 6.25 = 12
Answer:
b (12)
Step-by-step explanation:
I need some help with this.
Answer:
b is 16 d is 13
Step-by-step explanation:
ok is a baby girl that can I be happy
The length of the deck is 3 times it’s width. If the decks perimeter is 16 ft what is the decks area
Answer:
12 ft²Step-by-step explanation:
Givenl = 3wP = 16A = ?SolutionUse perimeter formula
P= 2(l + w) = 2(w + 3w) = 8wFind width:
8w = 16 ⇒ w = 2 ftFind length:
l = 3*2= 6 ftFind area:
A = lw = 6*2 = 12 ft²Need help with these ASAP please
Answer:
5. x= -8/3 y + 3
Step-by-step explanation:
plzzz help me with this
What is the value of the x variable in the solution to the following system of equations? (1 point)
4x + 2y = 12
x − y = 3
0
−3
3
2
Answer:
-3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
4x + 2y = 12
x − y = 3
Make it able to cancel the variable y.
x*2 − y*2 = 3*2
2x − 2y = 6
Add the equations together now that y can be canceled out. Add each like term of the separate equations together.
4x + 2y = 12
+ 2x − 2y = 6
6x + 0 = 18
6x = 18
6 6
x = 3
I hope this helps!
The late fee at the library is based on the number of days a book is late. Carter paid $1.08 for a book that way nine days late. Her sister Sydneys had a fever of $1.92 for a Late book how many days late was a book
Answer:
16 days
Step-by-step explanation:
108/9 is 12. The late fee is 12¢ per day. 16x12 is 192.
If RT¯¯¯¯¯¯ is extended to contain a point W so the UW has a length of 8, what is the length of SW?
Answer:
8
Step-by-step explanation:
SW and UW are equal because they are at the midpoint . A midpoint is a point on a line segment that divides it into two congruent segments.
Craig likes to collect records. Last year he had 4 records in his collection. Now he has 7 records. What is the percent increase of his collection?
Answer:
75% I believe
Step-by-step explanation:
A 100% increase would be 8 so adding one would be a 25% increase. since 3 were added it would be 75
Steve drove at a constant rate to the beach for a vacation. In the equation below, t is the time in hours it took Steve to drive to the beach.
64t = 384
What is the unit rate in the equation above?
A.
64 miles per hour
B.
320 miles per hour
C.
384 miles per hour
D.
6 miles per hour
9514 1404 393
Answer:
A. 64 miles per hour
Step-by-step explanation:
In a linear equation, the "unit rate" is generally the coefficient of the variable. The units of the unit rate depend on the definition of the relationship.
Here, the time t is in hours, so the "unit rate" will be <something> per hour. The answer choices suggest that the <something> is "miles". That is, the units of the equation are ...
(miles/hour) × (hours) = miles
With numbers/variables, that is ...
(64 miles/hour) × (t hours) = 384 miles
The unit rate is 64 miles per hour.
Use the identity (x+y)(x^2−xy+y^2)=x^3+y^3 to find the sum of two numbers if the product of the numbers is 28, the sum of the squares is 65, and the sum of the cubes of the numbers is 407.
Step-by-step explanation:
We have xy = 28, x² + y² = 65 and x³ + y³ = 407.
Since (x + y)(x² - xy + y²) = x³ + y³,
x + y = (x³ + y³)/(x² + y² - xy)
= (407) / [(65) - (28)]
= 407 / 37
= 11.
Hence the sum of the numbers is 11.
Answer:
The sum is 11
Step-by-step explanation:
Hope this helped have an amazing day!
Look at the corresponding pairs of numbers on the top and bottom number lines. Write a multiplication sentence to show how 10 gallons and 300 miles are related. How are 5 gallons and 150 related? How are 1 gallon and 30 miles related?
1 gallon = 30 milles
×5
=5 gallon = 150 milles
×10
=10 gallon =300 milles
Answer:
1 gallon = 30 milles
×5
=5 gallon = 150 milles
×10
=10 gallon =300 milles
Step-by-step explanation:
1 gallon = 30 milles
×5
=5 gallon = 150 milles
×10
=10 gallon =300 milles
Add the two expressions.
-6.56 + 11 and 3.36 - 2
Answer: 4.1
Step-by-step explanation:
Hope it helped! Brainliest??
which system of inequalities is shown?
Answer:
d is the right answer.
y is greater than x
y is equal to 4
Step-by-step explanation:
Can the equation below be used to solve the following? If not, explain why.
0.75x + 3 = 0.25x + 5.25
At an ice cream shop, customers pay $3.00 for medium ice cream plus $0.75 per topping. At a second ice cream shop, customers pay $5.25 for a medium ice cream plus $0.25 per topping. How many toppings would a customer have to order for the ice cream to cost the same at either shop?
Answer:
Yes; the equation and the problem do match.
Step-by-step explanation:
Sally and her friends went to the county fair. They paid a total of $20 for their tickets. While at the fair, they bought 3 bags of cotton candy at x dollars each, 4 hamburgers at y dollars each, and 5 drinks at z dollars each. Which expression represents this situation?
Answer:
20 + 3x + 4y + 5z
Step-by-step explanation:
20 + 3*x + 4*y + 5*z
Answer:
20+3x+4y+5z
Step-by-step explanation:
Find the slope and y-intercept of the graph of the equation.
y = 9x + 7
Answer:
Slope: 9x/1 and y-intercept is 7 (0,7)
Step-by-step explanation:
Linda put $130 to start a bank account. At the end of each week, Linda goes to the bank and either makes a withdrawal (takes money out) or a deposit (puts money in). The first four weeks of Linda's bank activity are listed. Week 1: withdraws $125 Week 2: deposits $400 • Week 3: withdraws $240 • Week 4: deposits $183 She wants to use the money she has her account to buy a music system worth $575. How much more money does she need? A $218 B. $227 C. $348 $357
Answer:
?
Step-by-step explanation:
Answer:
227
Step-by-step You subtract 130 with 125 which will give you 5 Then you add 400 which is 405 then you subtract 405 by 240 which is 165 and finnaly you add 165 with 183 and get 348. You then take that 348 and subtract it by 575
( 575 - 348 ) and get 227.
MULTIPLY.....WILL MARK BRAINLIEST
x^2(-10x^2+1)
Answer:
Step-by-step explanation:
Distributive property: a(b + c) = a*b +a*c
[tex]a^{m}*a^{n}=a^{m+n}\\\\\\x^{2}(-10x^{2}+1)= x^{2}*(-10x^{2}) +x^{2}*1\\\\=-10x^{(2+2)}+ x^{2}\\\\= -10x^{4} + x^{2}[/tex]
david is 5 years older than jonathan. in 6 years, double jonathans age added to quadruple davids age will equal to 128. what is each of their current ages?
Answer:
David a 17 ans et Jonathan a 12 ans
Step-by-step explanation:
David aura 23 ans dans 6 ans et Jonathan aura 18 ans dans 6 ans
Donc 23 * 4 = 92 et 18*2 = 36 comme 92+36=128 on trouve leurs ages dans 6 ans et on soustrait ensuite 6 à leurs ages dans 6 ans pour trouver leurs ages aujourd'hui
Select the correct answer. Which expression is equivalent to the given expression?
Answer:
B
Step-by-step explanation:
2x times x = 2x²
2x times -6 = -12x
1 times x = x
1 times -6 = -6
= 2x² - 12x + x - 6
= 2x² - 11x -6
A town's population is 38,200. About 100 people move out of the town each month. Each month, 150
people on average move into town. A nearby town has a population of 40,400. It has no one moving in
and an average of 150 people moving away every month. In about how many months will the
populations of the towns be equal? Write an equation to model the situation. Then solve the equation
and answer the question.
Answer:
in 11 months
Step-by-step explanation:
y=50x+38,200
y=-150x + 40,400