The area A of a trapezoid with height h and bases b₁ and b₂ is equal to the average of the bases times the height:
A = (b₁ + b₂) h / 2
We're given A = 864, h = 24, and one of the bases has length 30, so
864 = (b₁ + 30) 24 / 2
864 = (b₁ + 30) 12
864 = (b₁ + 30) 12
72 = b₁ + 30
b₁ = 42
The amount of time it takes a swimmer to swim a race is inversely proportional to the average speed of the swimmer. A swimmer finishes a race in 25 seconds with an average speed of 6 feet per second. Find the average speed of the swimmer if it takes 50 seconds to finish the race.
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Answer:
3 feet per second
Step-by-step explanation:
If the time is multiplied by 2, the inverse relationship tells you the speed is multiplied by 1/2.
(1/2)(6 ft/s) = 3 ft/s
The swimmer's average speed is 3 ft/s.
solve this inequality
Explanation:
To isolate x, we first add 3 to both sides. Then we'll divide both sides by 4
[tex]4x-3 < 9\\\\4x-3+3 < 9+3\\\\4x < 12\\\\\frac{4x}{4} < \frac{12}{4}\\\\x < 3[/tex]
So x can be any number smaller than 3.
The inequality sign will not flip because we are not dividing both sides by a negative number.
find the domain of f(x) . give answer in interval notation
Answer:
(0,6]
Step-by-step explanation:
Explain how multiplying fractions and dividing fractions are alike and how they are different.
Answer:
Multiplying and dividing fractions are essentially the same process which you multiply the numbers straight across and no need for common denominators. Except in division of fractions, the second fraction is flipped so that the denominator is on the top and the numerator is on the bottom (reciprocal).
Step-by-step explanation:
Example:
[tex]\frac{3}{4} * \frac{1}{5} = \frac{3}{20}[/tex]
[tex]\frac{3}{4}[/tex] ÷ [tex]\frac{1}{5} = \frac{3}{4} * \frac{5}{1} = \frac{15}{4}[/tex]
6 divided by 1 1/8
Dont force the calcu- nvm I forgot Fractions cant be used in calculators :(
Answer:
4 and 4/11
Step-by-step explanation:
Answer:
4 4/11
Step-by-step explanation:
You start with 6/1 divided bye 11/8. You keep the 6/1, switch the division to multiplication, and flip the 11/8 to 8/11. You multiply the fractions and get 48/11. Simplifying gives 4 4/11.
Find the value of this question
Answer:
the expression is equal to 0
Choose the ratio that is equivalent to 4:6.
Group of answer choices
3:6
4:8
8:12
8:10
Answer:
8:12
Step-by-step explanation:
Answer:
8:12
Step-by-step explanation:
Both numbers are multiplied by 2
Evaluate the expression 8-3×2+5
Answer:
7
Step-by-step explanation:
First do 3x2 to get 6, and then do 8-6, which is 2, and add that to 5 to get 7
which of the following would you expect to have the highest interest? a 5-year CD a 10-year CD and online savings account or savings account at a Traditional Bank
Answer:10-year CD
Step-by-step explanation:
No
ILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST Paul's Pumpkin Patch advertises four pumpkins for $10.50. Which equation below represents this proportional relationship?
Answer
the 1st equation
Step-by-step explanation:
Bella wants to create a tea-mix. She can buy Asian Treasure tea for $7.50 per ounce and Paradise tea for $5.00 per ounce. If she wants to make 60 ounces of tea-mix at a cost of $6.00 per ounce, how many ounces of Asian Treasure tea and how many ounces of Paradise tea should she buy?
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Answer:
24 oz Asian Treasure36 oz ParadiseStep-by-step explanation:
The proportion of Asian Treasure is the difference in price of the mix and Paradise tea, divided by the difference in price of Asian Treasure and Paradise tea. So the amount of Asian Treasure is ...
(6.00 -5.00)/(7.50 -5.00)(60 ounces) = 24 ounces . . . Asian Treasure tea
The remaining 60-24 = 36 ounces will be Paradise tea.
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Using an equation
You can get the same result if you define a variable (a) to the amount in ounces of the higher-priced contributor. Then the lower-priced contributor will be in the amount (60-a) ounces. The total cost of the mix is ...
7.50a +5.00(60 -a) = 60(6.00)
(7.50 -5.00)a +60(5.00) = 60(6.00) . . . rearrange the left side
(7.50 -5.00)a = 60(6.00 - 5.00) . . . . . . subtract 60(5.00)
a = 60(6.00 -5.00)/(7.50 -5.00) . . . . . . divide by the coefficient of 'a'
Note that this last expression is identical to the one we used above to find the quantity of Asian Treasure tea.
Need help on this one.
Answer:
15,7,27,10 Good luck with ur work <3
2688 divided by 96 with remainder
Answer: OK, the answer is 28.
Step-by-step explanation: Also there is no remainder for this division problem, you could have the remainder if the numbers are not the same as a multiplication problem, so did you get it?
Which expression is equivalent to 20y - 5
a.4(5y-1)
b.20(y-5)
c.5(4y-1)
d.y(20-5)
b.20(y-5)
Step-by-step explanation:
not sure ops sorry
Need help with this math problem look at the picture.
Answer:
Square Root of 35
Step-by-step explanation:
5 * 7 = 35
Answer:
5.91607978309
Step-by-step explanation:
Francine uses 2/3 cups of pineapple juice for every 1/3 cup of orange juice to make a smoothie.Enter the number of cups of pineapple juice Francine uses for 1 cup of orange juice
Answer:
1 cup i think
Step-by-step explanation:
Sorry im an idiot but i think its right
Answer:
Step-by-step explanation:
It is two cups
I WILL MARK BRAINLIST
Answer:
I think it's B.
Step-by-step explanation:
Hope that helped! Have a great rest of your day!
David has 4 bales of hay for his 13 cows. What is an equivalent ratio of cows to bales of hay
Answer:
13 : 4
Step-by-step explanation:
13 : 4
he has 13 cows and he has 4 bales of hay so 13:4
you can't simplfy it so its still 13 : 4
John is a quarterback this year he completed 350 passes which is 70% of all passes he is attempting this year
Answer:
John attempted 500 passes.
Step-by-step explanation:
350 / x = 70%
350 = 0.7x
x = 500
Please help geometry find the solution
Answer:
Directions Unclear:
Step-by-step explanation:
I am now drowning on air.
Answer:
ok
Step-by-step explanation:
The short run is defined as a period of time where
Select one:
a. some of a firm's inputs are fixed
b. only a small number of firms can enter or exit the industry.
c. the firm always breaks even (earns zero profit).
d. all inputs can be changed, but only for a little while and then must be changed back to their original levels.
Answer:
q
Step-by-step explanation:
a q q q q q q q q q q qq q qq q q q q q qa q q q q q q q q q q q
need help with slopes..
Answer:
Step-by-step explanation:
y-intercept: -7
type of slope: 0
slope: y=0x-7
slope's hard ;_;
In a bag of 20 balls, 2 are pink, 7 are green, 4 are white, 5 are black, and 2 are orange. If the first ball chosen is
pink and not replaced, what is the probability that the next ball is black?
A.1/10
B.15/63
C.2/19
D.5/19
Answer:
The answer is D 5/19.
Step-by-step explanation:
There are 20 balls and one git removed then 5 are black so you put 5 over the number of balls 20.
plz helpppppppp me thxs
Answer:thxxxxxxs for the points
Step-by-step explanation:
How many solutions does the absolute value equation have?
I x - 3 I + 2 = -2
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Answer:
the correct answer is marked
Step-by-step explanation:
When the graph of the left side of the equation does not intersect the graph of the right side of the equation, there are no solutions.
__
Additional comment
Even if you extend the domain to complex numbers, there are no solutions. The f(x) = |x| function always returns a positive real value, even for complex numbers.
If 6 x 7 = 26 +0, find the number that belongs in the box.
211
A project has each of the following characteristics except ____.
A. Clearly defined scope, deliverables, and results.
B. An estimated budget that is subject to a high degree of uncertainty.
C. Low risk with a high profit potential or benefits.
D. An estimated time frame or schedule that is subject to a high degree of uncertainty.
Answer:
C. Low risk with a high profit potential or benefits.
Step-by-step explanation:
I hope this helps.
A diving board is 12.4 feet above the ground. The bottom of the pool is 16.9 feet below the ground. Write and solve an equation that gives the distance from the diving board to the bottom of the pool.
Answer:
29.3 feet
Step-by-step explanation:
Okay I don't know the equation to put it in, but all you need to do is add the two values together.
12.4 + 16.9 = 29.3 feet
The distance from the diving board to the bottom of the pool will be 29.3 feet.
From the information given, the diving board is 12.4 feet above the ground and the bottom of the pool is 16.9 feet below the ground.
Therefore, the equation that gives the distance from the diving board to the bottom of the pool will be:
= 12.4 + 16.9
= 29.3 feet.
Read related link on:
https://brainly.com/question/19633325
The price of a television was reduced from $250 to $200. What was the percent decrease in price? HELPP? ILL GIVE YOU A BRAINLLEST?!!
Answer:
20%
I hope this is good enough:
What is the value of 2.57 - 1.75?
Answer:
The value is 0.82
Step-by-step explanation: