The expression that represents the situation is:
$ 600+12x
Step-by-step explanation:cost of lot is: $ x
This means that 12 times the lot on which it was built is: $ 12x
Also, it is given that:
A house costs $600 more than 12 times the lot on which it was built.
This means that the total cost of the house is:
600 plus the total cost of the lot on which it was built.
i.e. The expression that represents the total cost of the house is:
$ 600+12x
A lighthouse cast a shadow that is 36 meters long at the same time , a person who is 1.5 meter tall casts a shadow that is 4.5 meters long . Write and solve a proportion to find the height of the lighthouse
To find the height of the lighthouse, set up a proportion using the lengths of the shadows and solve for h. The height of the lighthouse is 12 meters.
Explanation:To find the height of the lighthouse, we can set up a proportion based on the lengths of the shadows. Let h be the height of the lighthouse. The proportion is:
(h / 36) = (1.5 / 4.5)
Now, we can cross multiply and solve for h:
h = (1.5 / 4.5) * 36
h = 12 meters
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Solve for r: d = rt *
A. d = rt
B. t = d/r
C. r = d/t
D. r = t/d
d =rt
to solve for r divide both sides by t
so r = d/t
Answer is C
The radius of a circle measures 11 mm. What is the circumference of the circle? Use 3.14 for pie and do not round your answer.
A marathon is 26 miles 385 yards long . That is about what 1.4 x10 feet how many feet long is half a marathon
I believe that the correct measurement in feet is 1.4 x 10^5 feet. You forgot to include the ^5.
So since that is the measurement of 1 marathon, therefore half a marathon would simply be also half of that, that is:
0.7 x 10^5 feet
or
7 x 10^4 feet
Final answer:
Half a marathon is 69,168 feet in length. To calculate the runner's time for a full marathon at an average speed of 9.5 mi/h, divide the distance (26.2 miles) by the speed, resulting in approximately 2.76 hours or about 2 hours and 45 minutes.
Explanation:
To find the length of half a marathon in feet, we first need to know the length of a full marathon in feet then divide that by 2. Since one marathon is approximately 26.2 miles, we first need to convert miles to feet. There are 5,280 feet in one mile. So, for a full marathon:
26.2 miles × 5,280 feet/mile = 138,336 feet for a full marathon.
Therefore, half a marathon would be:
138,336 feet ÷ 2 = 69,168 feet for half a marathon.
Next, let's look at the question about the marathon runner's time. If a runner averages 9.5 mi/h over a full marathon of 26.2 miles, we can calculate the time taken to run this distance. Time is distance divided by speed, so:
26.2 miles ÷ 9.5 mi/h = approximately 2.76 hours,
which can be converted to minutes: 2.76 hours × 60 minutes/hour = approximately 165.6 minutes or about 2 hours and 45 minutes.
What are the coordinates of the endpoints of the midsegment for △DEF that is parallel to EF¯¯¯¯¯?
Enter your answers, as a decimal or whole number, in the boxes.
Suppose the population of a certain city is 4252. it is expected to decrease to 3393 thousand in 50 years. find the percent decrease.
How many pairs of parallel faces are shown?
3
5
4
6
Answer:
The answer is 3 pairs.
Step-by-step explanation:
The flat surfaces that meet at edges are called faces.
The given figure is a cube.
The cube possess six square faces with three meeting at each vertex. In total it has 6 faces, 12 edges, and 8 vertices. Its six faces are arranged in three sets of two parallel faces.
So, there are 3 pairs of parallel faces in a cube.
In January, you deposit $16 in your checking account. Each month, you deposit $15 more than you did the month before. How much money do you deposit in October?
Answer:
$151Step-by-step explanation:
This problem is about a arithmetic sequence, which is obtained by summing a term which is called "difference". In this case, we need to find the tenth term of the arithmetic sequence, because that's the term assigned for October. The formula of an arithmetic sequence is
[tex]a_{n}=a_{1}+(n-1)d[/tex]
Where:
[tex]n=10\\a_{1}=16\\d=15[/tex]
Replacing values, we have
[tex]a_{10}=16+(10-1)15=151[/tex]
Therefore, on October you will have $151 if you deposit $15 more each month, beginning with $16.
plz help cant get no help will mark brainliest . 1. Write an expression that represents the length of the south side of the field. (2 pts) 2. Simplify the polynomial expression that represents the south side of the field. (2 pts) 3. Write a polynomial expression that represents the perimeter of the pumpkin field. (2 pts)4. Simplify the polynomial expression that represents the perimeter of the pumpkin field.
What is BC?
___ units
Which theorem would you use to prove ABE ~ DCE?
ASA Similarity
SSS Similarity
AA Similarity
SAS Similarity
Answer:
AA Similarity
Step-by-step explanation:
Just is. Hope This Helps!!! ;)
Help Please!! Flip the inequality sign whenever you _____________ or _____________ the inequality by a _______________!
At a baseball game, a vender sold a combined total of 104 sodas and hot dogs. the number of sodas sold was three times the number of hot dogs sold. find the number of sodas and the number of hot dogs sold.
a^3+b=c^2 Solve for a and show me how you got that answer
The dance instructor asks his class for three volunteers to show some new moves. There are twenty people in class and everyone is silent. One girl, Janie looks around the room to see if anyone is going to volunteer first. Then maybe she won't have to volunteer if someone else does. Which term describes why Janie didn't want to volunteer? bystander effect diffusion of responsibility social facilitation conformity
The term that describes why Janie didn't want to volunteer is probably the diffusion of responsibility. I think this is the answer ( and this is the answer I put on my quiz ) because the responsibility does not have to belong to Janie since there are nineteen other students that can volunteer.
Answer: Diffusion of responsibility
Note: I don't think the answer above is correct
none; live
Paulo has $145 in his savings account. he earns $36 a week mowing lawns. if paulo saves all of his earnings, after how many weeks will he have $433 saved?
Answer:
8 week
Step-by-step explanation:
= $ 433 − $ 145 = $ 288
= $ 36 for 1 week
$ 288 for x weeks
x = 288 divide 36
x = 8 weeks
What is the volume of a cube that measures 5 cm on each side?
4root of 15 plus 3 plus root of 15
Leo has a total of 45 cents. He has some dimes and pennies. How many combinations of dimes and pennies could leo have?
Absolute value means the distance from zero.
Distance can be negative or positive.
True
False
DUE TOMORROW torri had $20 to buy a birthday present for her Dad she decided to buy a dvd for $18 the sales tax is 7% does she have enough money explain your reasoning
suppose f(x)=x-2. describe the transformation from the graph of f(x) to the graph of g(x)=x+3. Use a graphing calculator to check your answer.
Take 2y 2 - 3y - 5 from y ^3 - 6y ^2 + 5y. Select the correct answer.
y^3 - 2y^2 + 3y + 5
y^3 - 4y^2 + 2y - 5
y^3 - 4y^2 + 2y + 5
y^3 - 8y^2 + 8y + 5
Answer:
y^3-2y^2+3y+5
Step-by-step planation:
Michael breeds chickens and ducks. Last month, he sold 505050 chickens and 303030 ducks for \$550$550dollar sign, 550. This month, he sold 444444 chickens and 363636 ducks for \$532$532dollar sign, 532. How much does a chicken cost, and how much does a duck cost?
The price of a single chicken is $8 and the price of a single duck is $5 and this can be determine by forming the linear equation in two variables.
Given :
Michael sold last month, 50 chickens and 30 ducks for $550.This month, he sold 44 chickens and 36 ducks for $532.Let the price of single chicken be 'a' and the price of single duck be 'b'. Then the linear equation will be:
[tex]50a + 30b = 550[/tex] --- (1)
[tex]44a + 36b = 532[/tex] --- (2)
Now, solve the equation (1) for 'b'.
[tex]b = \dfrac{550-50a}{30}[/tex]
[tex]b = \dfrac{55}{3}-\dfrac{5a}{3}[/tex] ---- (3)
Now, put the value of 'b' in equation (2).
[tex]44a+36\left(\dfrac{55}{3}-\dfrac{5a}{3}\right) = 532[/tex]
[tex]44a+660-60a=532[/tex]
128 = 16a
a = 8
Now, put the value of a in equation (3).
[tex]b = \dfrac{55}{3}-\dfrac{5\times 8}{3}[/tex]
b = 5
The price of a single chicken is $8 and the price of a single duck is $5.
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what is the mean of the numbers 5433221 round to the nearest hundredth if necessary. NEED ANSWER ASAP
Solve v=1/3bh for b, the base of the cone
Answer:
The base of cone is [tex]b= \frac{3V}{h} [/tex]
Step-by-step explanation:
Given :-
[tex]V =\frac{1}{3} \times b \times h[/tex] .............(1)
we need to solve for the base of cone
Divide both the side by ' h ' in equation (1)
[tex]\frac{V}{h} =\frac{1}{3} \times b[/tex]
Multiply both the sides by 3, in above expression
[tex]3\times \frac{V}{h} = b[/tex]
[tex]b= \frac{3V}{h} [/tex]
Hence, the base of cone is [tex]b= \frac{3V}{h} [/tex]
The Base of the cone whose volume is given is b = 3V/h.
Hence option D.
Since we know that,
A cone is a three-dimensional solid geometric shape having a circular base and a pointed edge at the top.
Here given that,
Base of cone = b
Height of cone = h
Since we also know that,
Volume of Cone = base X height / 3
⇒ V = b X h/3
⇒ 3V = b X h
⇒ b = 3V/h
Thus, the Base of the cone whose volume is given is b = 3V/h.
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The complete question is,
The formula for the volume of a cone is V = 1/3bh
Solve V=1/3bh for b,the base of the cone.
A. b=h/3v
B. b=V/3h
C. b=3h/V
D. b=3V/h
Uta invests $345 into a simple interest investment account that pays interest at a rate of 9% a year. After several years, she withdraws her balance of $531.30. Using the formula l=Prt, how many years was her money invested? 4 years 5 years 6 years 7 years
Answer:
[tex]6\ years[/tex]
Step-by-step explanation:
we know that
The simple interest formula is equal to
[tex]I=P(rt)[/tex]
where
I is the interest amount
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
[tex]t=?\ years\\ I=\$531.30-\$345=\$186.3\\ P=\$345\\r=0.09[/tex]
substitute in the formula above
[tex]\$186.3=\$345(0.09t)[/tex]
[tex]t=186.3/(345*0.09)=6\ years[/tex]
Write the sentence as an equation.
307 less than the product of h and 257 is 89
Read the prompt and use complete sentences to answer parts A and B. Barry wants to surprise his family with a vacation to the Bahamas. Part A. Describe a scenario in which Barry uses responsible financial decisions to afford the vacation for his family. Part B. Describe a scenario in which Barry uses irresponsible financial decisions to afford the vacation for his family.
Barry wants to surprise his family with a vacation to the Bahamas. So he buys plane tickets with cash in hand and they all go.
Barry wants to surprise his family with a vacation to the Bahamas. So he uses all his cash, then uses his credit card to purchase the plane tickets.
The orange-and-purple-striped sweaters at a store were not selling, so the store put them on sale for half of the original price. The sweaters still did not sell, so the store reduced the price by an additional $10. The sweaters are now priced at $7.50. Write and solve an equation to find the original price of the sweaters. Explain each step of your solution.