Answer:
The situation of balloon B
Step-by-step explanation:
Balloon A is released 5 feet above the ground and our ground level be 0 feet. Let k be the rate at which it rises and t the time it takes to rise. Its height y, above the ground after time x is y = kt + 5
For Balloon B since it is released at ground level at which ground level is taken as 0 feet, let t be the time it takes to rise above the ground and k the rate at which it rises above the ground. Its height y above the ground after tie x is y = kt
Since the expression for Balloon B is y = kt and the expression for Balloon A is y = kt + 5, only the situation of Balloon B can be expressed in the form y = kx.
This is because the rate of rise of Balloon B follows a direct proportionality while the rate of rise of Balloon follow a joint proportionality since it starts from a point other than ground level.
Solve the following inequality: 9x+2/3(−7x+6)−1≥2
Answer:
Step-by-step explanation:
3(9x - 14/3x + 4 - 1 ≥ 2)
27x - 14x + 12 - 3 ≥ 6
13x + 9 ≥ 6
13x ≥ -3
x ≥ -3/13
Answer:
x ≥ - [tex]\frac{3}{13}[/tex]
Step-by-step explanation:
Given
9x + [tex]\frac{2}{3}[/tex](- 7x + 6) - 1 ≥ 2
Multiply through by 3 to clear the fraction
27x + 2(- 7x + 6) - 3 ≥ 6 ← distribute and simplify left side
27x - 14x + 12 - 3 ≥ 6
13x + 9 ≥ 6 ( subtract 9 from both sides )
13x ≥ - 3 ( divide both sides by 13 )
x ≥ - [tex]\frac{3}{13}[/tex]
Kermit's favorite iced tea is made with 15 tea bags in every 2 liters of water. Peggy made a 12-liter batch of iced tea with 90 tea bags. What will Kermit think of Peggy's iced tea? Choose 1 answer: A It is too strong. B It is too weak. C It is just right.
Answer:
C. It is just right.
Step-by-step explanation:
We want to compare the ratios ...
bags : liters = 15 : 2
and
bags : liters = 90 : 12
If we multiply the numbers of the first ratio by 6, we see they are identical to those in the second ratio:
(15)(6) : (2)(6) = 90 : 12
The ratio of bags to liters for Peggy's tea matches the ratio Kermit likes. He will think it is just right.
Answer:
C its just right
Step-by-step explanation:
The coordinates of point T are (0,3). The midpoint of ST is (1, -5). Find the coordinates of point S.
Answer:
M(3/2,−9/2)
explaination:
the midpoint of a segment is the average values of the endpoint coordinates ie midpoint of ( x 1 , y 1 ) , ( x 2 , y 2 ) M ( x 1 + x 2 2 , y 1 + y 2 2 ) we ahve ( 3 , − 6 ) , ( 0 , − 3 ) ∴ M ( 3 + 0 2 , − 6 + − 3 2 ) M ( 3 2 , − 9 2 )
REASONING A high school band was selling ride tickets for the school fair. On the first day, 250 children’s tickets and 150 adult tickets were sold for a total of $550. On the second day, 180 children’s tickets and 120 adult tickets were sold for a total of $420. What is the price for each child ticket and each adult ticket?
a. Select a system of equations to represent this situation. Let x represent the cost of children’s tickets and y represent the cost of adult tickets.
A)
250x+120y=550 ; 180x+150y=420
B)
180x+150y=420 ; 180x+120y=420
C)
250x+150y=550 ; 180x+120y=420
D)
250x+150y=420 ; 180x+120y=550
The system of equation should be C) 250x+150y=550 ; 180x+120y=420
Important information:On the first day, 250 children’s tickets and 150 adult tickets were sold for a total of $550. On the second day, 180 children’s tickets and 120 adult tickets were sold for a total of $420. Let x represent the cost of children’s tickets and y represent the cost of adult tickets.Equation:
250x+150y=550 ; 180x+120y=420
Find out more information about the equation here:
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Which of the following statements contain a variable? Check all that apply.
A. The length of the rope.
B. She arrived at 2 o'clock.
C. Half the height of the building.
D. There are 12 inches in a foot.
Answer:
A and C
Step-by-step explanation:
Took the test :/
Rachel was playing a game on her computer out of 20 questions she answered 7 correctly at this rate how many questions should rachel answer correctly if she answered a total of 160 questions
Answer:
56
Step-by-step explanation:
(7/20)=(x/160)
160(7/20)=x
x=56
Player 1 and player 2 are running laps around a field. Player 1 runs 1 lap every 6 minutes, while player 2 runs 1 lap every 10 minutes. If player 1 and player 2 begin their run at the same time and location on the field, in how many minutes will they meet to begin their next lap together?
They will meet to begin the next lap together
Answer:
30 minutes
Step-by-step explanation:
Think of it as a fractions. Player 1: 6 min./1 lap, Player 2: 10 min./1 lap. So in order to do this you have to find the greatest common factor. The GCF is 30. [learned this 2 yrs ago, im not entirely sure]
Jenny has $2.40 deducted from her monthly allowance every time she forgets to do a chore. If she forgets three times in a month, What will be the change in Jennys total allowance? A $7.20 B $5.40 C -$6.40 D -$7.20
Answer:
D -$7.20
Step-by-step explanation:
If she takes (substance) $2.40 every times she forgets to do a chores you have to substance but first you have to multiply because she forgets 3 times 2.40 × 3 is 7.20but since she taking it away it would be negativeso your answer is -$7.20
I hope this helps
$7.20 will be Jennys total allowance.
What is Unitary Method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
Steps to Use Unitary Method
First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.
Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.
Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.
Given:
Jenny has $2.40 deducted from her monthly allowance every time she forgets to do a chore.
If she forgets three times in a month.
Thus, Jennys total allowance will be
=2.40 x 3
=$7.20
Hence, $7.20 will be Jennys total allowance.
Learn more about unitary method here:
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What’s the value of 2^3? If you could explain that’d be amazing
Answer:
8
Step-by-step explanation:
2 (2)(2)
2 times itself 3 times.
Answer: 8
Step-by-step explanation: Since 2 is to the power of 3 that means multiply by itself 3 times, so 2 x 2 x 2 = 8.
If this helped please mark Brainliest!!!
bill dupp lumber yard charges $2.80 for each cubic foot of sand delivered,plus $50 to deliver the sand. is this function continuous or discrete?
Answer:
2.80×50
Step-by-step explanation:
2.80×50 step by step
At the fair the ratio of male to females was 8:6. If there are 112 people at the fair how many males are there?
Answer:
64
Step-by-step explanation:
Let the common multiplier of the given ratio be x.
Therefore,
Number of males = 8x
Number of females = 6x
[tex]8x + 6x = 112 \\ 14x = 112 \\ x = \frac{112}{14} \\ x = 8 \\ number \: of \: males = 8x = 8 \times 8 = 64 \\ [/tex]
8hiobhjgjgjvygvm,dfndfjkgnvabjchdbsnfbhj
Answer:
d
Step-by-step explanation:
The square root of 130
falls between _____
and _____
but it's closest to _____
Answer:
11 and 12, closest to 11
Step-by-step explanation:
The square root of 130 falls between 11 and 12
Since 11 squared is 121 and 12 squared is 144.
130 is closer to 121, making it closer to 11 than to 12.
Hope this helps :)
Write the equation of the line that passes through the given points (-6, 0) and (0, 3)
Answer:
Step-by-step explanation:
Put (-6,0) and (0,3) into a table of values
form of the equation: mx+b
x -6 0
y 0 3
3/-6=-0.5 (m)
3=b (the value of y when x=0)
equation: y=0.5x+3
The result of which expression will best estimate the actual product of (Negative four-fifths) (three-fifths) (Negative StartFraction 6 over 7 EndFraction) (five-sixths)?
Answer:
12/35
Step-by-step explanation:
Given the expression;
-4/5(3/5)(-6/7)(5/6)
First multiply the first two brackets
-4/5×3/5
= -12/25
Multiply the last expression in its lowest term
= -6/7×5/6
= -30/42
= -15/21
= -5/7
Multiply the resulting expressions together
= -12/25×-5/7
= -12/5×-1/7
= 12/35
Hence the beat estimate for the actual product is 12/35
Answer:
B
Step-by-step explanation:
Took the test ;)
Does anybody know how to answer this?
Answer:
Step-by-step explanation:
√a^2 + b^2 =a+b
√ (a+b)^2 =a +b
The square root and the square cancel making
√a^2+b^2=a+b
express 15x^1/3 y ^1/5 using a radical
Answer:
C
Step-by-step explanation:
[tex]15x^{\frac{1}{3} }y^{\frac{1}{5} }\\\\=15x^{\frac{5*1}{5*3} }y^{\frac{3*1}{3*5} }\\\\=15x^{\frac{5}{15} }y^{\frac{3}{15} }\\\\=15\sqrt[15]{x^{5}y^{3} } \\\\[/tex]
The expression 15x^(1/3) y^(1/5) can be written as 15 * ∛x * ∜y
How to express 15x^(1/3) y^(1/5) using a radical?To express 15x^(1/3) y^(1/5) using a radical, we will start by writing each term with a common base.
Now express x^(1/3) as a radical. We know x^(1/3) is the cube root of x, this is rewritten as ∛x.
Now, we express y^(1/5) as a radical. We know that y^(1/5) is the fifth root of y, so we is rewritten it as ∜y.
Putting it all together, we have:
15x^(1/3) y^(1/5) = 15 * ∛x * ∜y.
Read more about Radical
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if f(x)= -x^2 - 1, and
g(x)=x + 5, then
g(f(x))=___x^2+___x+___
Answer:
Step-by-step explanation:
g(f(x))
g(-x^2 - 1)
-x^2 + 0x + 4= -x^2 + 4
The ratio of red cars to blue cars in a parking lot was 5:3 . If there was 40 red cars , how many blue cars were there ?
What made the two equivalent fractions 1/2 and 5/10 have the same value
Answer:
1/2 and 5/10 are equivalent because when you reduce 5/10, you get 1/2. Also, whenever we speak, we always say half of 10 is 5. Finally, the factor of 5 made them have an equal value. Therefore, 5/10 and 1/2 are equivalent.
Hope this helps!
Multiply the fraction by 5/5 makes them equivalent fraction.
what is fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
1/2 and 5/10
Now, to make fraction equivalent we have to find the factorizing factor.
As, 1/2 x 5/5= 5/10
Hence, multiply the fraction by 5/5 makes them equivalent fraction.
Learn more about fraction here:
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Find the area of the triangle defined by the coordinates (-3,-4), (-7,0), and (-3,4).
A)
10 square units
B)
12 square units
14 square units
D)
16 square units
Which of the relations below are functions? Justify your answer.
d. For each graph above, state the domain and range.
Answer:
Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
Step-by-step explanation:
Write the sentence as an equation
333 is equal to the product of c and 254
Answer:
254c = 333
Step-by-step explanation:
254c = 333
5.9= -4+×
help me solve this
what the answer to -3-z=?
Hey there!☺
[tex]Answer:\boxed{-z-3}[/tex]
[tex]Explanation:[/tex]
[tex]-3-z[/tex]
-3 + -z Add together
-z - 3
Hope this helps!
[tex]( \frac{8}{27} ) ^{ \frac{1}{3} } [/tex]
= ?
Answer:
2/3
Step-by-step explanation:
Simplify the following:
(8/27)^(1/3)
Hint: | For all n>=0, (m/n)^(1/3) = (m^(1/3))/(n^(1/3)).
(8/27)^(1/3) = (8^(1/3))/(27^(1/3)):
(8^(1/3))/(27^(1/3))
Hint: | Simplify radicals.
27^(1/3) = (3^3)^(1/3) = 3:
(8^(1/3))/3
Hint: | Simplify radicals.
8^(1/3) = (2^3)^(1/3) = 2:
Answer: 2/3
8+1/2(12)=x
Solve please
Answer
14
you have to simplify
8+1/2(12)
14
having problems with geometry homework, help me please
Answer:
[tex]XZ=146[/tex]
Step-by-step explanation:
Since [tex]M[/tex] is the midpoint of segment [tex]XZ[/tex]:
[tex]XM+MZ=XZ[/tex]
[tex]XM=MZ[/tex]
Identify your known values:
[tex]XM=2x+35\\MZ=5x-22\\[/tex]
Solve for [tex]x[/tex]:
[tex]2x+35=5x-22[/tex]
Subtract [tex]35[/tex] from both sides of the equation:
[tex]2x=5x-57[/tex]
Subtract [tex]5x[/tex] from both sides of the equation:
[tex]-3x=-57[/tex]
Divide by the coefficient of [tex]x[/tex], which is [tex]-3[/tex]:
[tex]x=19[/tex]
Substitute:
[tex]XM=2(19)+35\\MZ=5(19)-22[/tex]
Solve:
[tex]XM=73\\MZ=73[/tex]
Again, we know:
[tex]XM+MZ=XZ[/tex]
Therefore:
[tex]XZ=73+73[/tex]
Solve:
[tex]XZ=146[/tex]
3(2x - 4) + (3x + 1) = 5x + 21 -(x +1)
Answer:
x=6.2
Step-by-step explanation:
3(2x - 4) + (3x + 1) = 5x + 21 -(x +1)
6x-12+3x+1=5x+21-x-1
combine like terms:
9x-11=4x+20
move variables to same side by sub 4x and add 11
5x=31
x=6.2
Find the degree.
18x^4 y2 + 2x^5
Answer:
answer is 5
Step-by-step explanation:
I used a calculator