Answers
Answer:
x = 7
Step-by-step explanation:
We can use ratios to solve
3x-6 10
---------- = -------------------
12+(3x-6) 10+8
Simplifying
3x-6 10
---------- = -------------------
(3x+6) 18
Using cross products
18(3x-6) = 10(3x+6)
Distribute
54x - 108 = 30x +60
Subtract 30x from each side
54x-30x -108 = 60
24x -108 = 60
Add 108 to each side
24x = 60+108
24x = 168
Divide each side by 24
24x/24 = 168/24
x =7
Related Questions
A certain radioactive isotope decays at a rate of 2% per 100 years. If t represents the amount of the isotope left then the equation for the situation is
Answers
Answer:
y=y0e^-0.0002t
Step-by-step explanation:
.
Let x = initial amount
then our formula is
.86x = xe^(-0.0002t)
.
Notice, if we divide both sides by x, we eliminate our unknown:
.86 = e^(-0.0002t)
Solving for x, we take the ln of both sides:
ln(.86) = -0.0002t
ln(.86)/(-0.0002) = t
754.114 years = t
The table shows the relationship between the number of minutes that a hose
has been on and the number of gallons of water that have been added to a
plastic pool. Which statement is true?
0
5
10
15
20
Minutes Hose
On
Gallons of
Water in Pool
0
80
120
160
»
» The relationship is additive because
the number of minutes can be found
by adding 5 to the number of gallons.
The relationship is additive because
the number of gallons can be found by
adding 5 to the number of minutes.
»
The relationship is multiplicative
because the number of gallons can be
found by multiplying the number of
minutes by 8.
The relationship is multiplicative
because the number of minutes can
be found by multiplying the number of
gallons by 8.
Answers
Answer:
(C)The relationship is multiplicative because the number of gallons can be
found by multiplying the number of minutes by 8.
Step-by-step explanation:
Given the table below which shows the relationship between the number of minutes that a hose has been on and the number of gallons of water that have been added to a plastic pool.
[tex]\left|\begin{array}{c|c}$Minutes Hose On&$Gallons of Water in Pool\\-------&-------\\0&0\\5&40\\10&80\\15&120\\20&160\end{array}\right|[/tex]
We can see that if we multiply the first column by 8, we will obtain the second column. Therefore the relationship is multiplicative because the number of gallons can be found by multiplying the number of minutes by 8.
The correct option is C.
Using the graphing function on your calculator, find the solution to the system
of equations shown below.
y+ x = 3
y-2x = -12
A. No solution
B. x = -2, y = 5
C. x = 5, y = -2
D. More than 1 solution
Answers
Answer:
C. x = 5, y = -2
Step-by-step explanation:
I graphed the equations on the graph below.
If this answer is correct, please make me Brainliest!
Please help me I have to go to a class and I need this fast
Answers
Answer:
5) Mode = 63 6) Mode = 74
Range = 70 Median = 74
Median = 63 Range = 57
Mean = 58.75 Mean = 68.7
Step-by-step explanation:
Larry, Barry, Terry are saving their money for a trampoline that costs $340.
• The amount of money Larry has saved can be represented by x.
• The amount of money Barry has saved is 1
1
2
times the amount Larry has saved.
• The amount of money Terry has saved is 1
1
3
times the amount Larry has saved.
• The total amount of money saved by Larry, Barry, and Terry is $322.
What is x, the amount of money saved by Larry?
Answers
Answer:
Larry=X
Barry=112x
Terry=113x
L+B+T=322
x+112x++113x=322
226×=322
Larry saved $1.42
Answer:
$84
Step-by-step explanation:
I did it before.
Rosalia went on a long bike ride. The table shows how long she biked and the distance she traveled. Determine whether the relationship between hours biked and miles traveled is proportional.
Answers
Answer:
There needs to be a graph.
Step-by-step explanation:
The rate of change is not the same for all the cases so, the relationship between hours biked, and the miles traveled is not proportional.
What is proportionality?We use constant of proportionality in mathematics to calculate the rate of change and at the same time determine if it is direct variation or inverse variation that we are dealing with.
From the table, we need to find the rate of change between two given hours and the miles traveled at that time.
Now,
Between 1 hour and 2 hours.
The rate of change.
= (26 - 12) / (2 -1)
= 14 / 1
= 14
Between 2 hours and 3 hours.
The rate of change.
= (30 - 26) / (3 - 2)
= 4 / 1
= 4
Between 3 hours and 4 hours.
The rate of change.
= (48 - 30) / (4 - 3)
= 18 / 1
= 18
Since,
The rate of change is not the same for all the cases so,
Hence, the relationship between hours biked, and the miles traveled is not proportional.
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What is true about the dilation?
It is a reduction with a scale factor between 0 and 1.
It is a reduction with a scale factor greater than 1.
It is an enlargement with a scale factor between 0 and 1.
It is an enlargement with a scale factor greater than 1.
Answers
Answer:
A
Step-by-step explanation: :) am sure
Answer: A. A reduction is a dilation that creates a smaller image, and an enlargement (think stretch) is a dilation that creates a larger image. If the scale factor is between 0 and 1 the image is a reduction. If the scale factor is greater than 1, the image is an enlargement.
Step-by-step explanation:
I hope this helps:)
Determine the area of the composite figure to the nearest whole number.
A) 132 ft²
B) 176 ft²
C) 184 ft²
D) 216 ft²
Answers
Answer:
B) 176 ft²
Step-by-step explanation:
asdasdddddddddddddddddasdasdasdasdsa
Substitute 5 for x and evaluate the expression below.
(x-2) +11
Answers
Answer:
14
Step-by-step explanation:
(5-x) +11 = 14
The smallest animal that lives on land is the pygmy shrew. This animal weighs about 5 x 10-2
ounce. Which number shows another way to express 5 x 10-2?
50.0
0.50
0.05
5.00
PLLSS HELLPP
Answers
Answer:
5.00
Step-by-step explanation:
Answer:
5.00
Step-by-step explanation:
Olga decided to purchase a $22,000 MSRP vehicle at a 4.5% interest rate for 4
years. The dealership offered her a $2500 cash-back incentive, which she
accepted. Taking all these factors into consideration, what monthly payment
amount can she expect?
Answers
Answer:
479.375
Step-by-step explanation:
Answer:
$444.67
Step-by-step explanation:
A P E X
Use the law of sines to find the length of side c.
C
be
41.59
37
42°
А
С
CD
O A. 36.64
B. 54.94
C. 37
37 36
Answers
Without the calculator let's just estimate that .5/42 = 1.2% change in the angle; we reduce the length a=37 by 1.2% to get 37×.988=36.556. That's probably good enough to choose A.
Let's do it the way they want.
[tex]\dfrac{\sin C}{c} = \dfrac{\sin A}{a}[/tex]
[tex]c = \dfrac{a \sin C}{\sin A} = \dfrac{37 \sin 41.5}{\sin 42} = 36.6400[/tex]
Answer: A
Estimate worked. Sine is approximately linear when the range is small enough.
Five more than a certain number is 11 less than double the number
Answers
Answer:
The number is 16
Step-by-step explanation:
Five more than a certain number is 11 less than double the number
x+5 = 2x-11
11+5 = 2x-x
16 = x
Which choice is equivalent to the expression 4(x+2y)? I need it right now please!
Answers
Answer:
4x+8y
Step-by-step explanation:
you use distributive property
you multiply 4 times x
and 2y times 4
hope this helps
If a data value in a normal distribution has a negative z-score, which of the following must be true?
Answers
WHERE ARE THE FOLLOWING?
Answer:
C. The data value must be less than the mean
Step-by-step explanation:
Took the quiz on edge:)
Find the inequality represented by the graph.
URGENTT
Answers
Answer:
y < 3/4x
Step-by-step explanation:
HELP PLEASEEE ASAP!! THIS IS AN EMERGENCY
Answers
Answer:
the answer is c
Step-by-step explanation:
Select the correct answer.
Which sum or difference is modeled by the algebra tiles?
A. (x2 + 4x − 2) + (x2 − 2x − 4) = 2x2 + 2x + 2
B. (x2 + 4x − 2) + (x2 + 2x + 4) = 2x2 + 2x + 2
C. (x2 + 4x − 2) − (-x2 + 2x − 4) = 2x2 + 2x + 2
D. (x2 + 4x − 2) − (-x2 − 2x + 4) = 2x2 + 2x + 2
Answers
Answer:
Hello there the Correct answer The only answer choice that produces -2x²+2 is D.
Because (-x²+2x+3)+(-x²-2x-1) = -x²+2x+3-x²-2x-1 = -2x²+2
answer: D
Hope It Helps!
The correct option is D.
How are algebra tiles named?
We name the Algebra Tile pieces by considering the area of each, meaning we need to know the dimensions of each piece. If the small yellow square has a length of 1 unit, the area of the small square is 1 square unit. Then the long green rectangle has dimensions 1 by x and has an area of x square units.
What are algebra tiles examples?
Algebra tiles are square and rectangle-shaped tiles or tiles that represent numbers and variables. For example, we can use square tiles to represent numbers. Each square tile is equal to one. So, four can be represented by four square tiles.
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Describe the pattern of the number sequence 1, 9, 17, 25, 33, .... by using algebraic expressions
Answers
Answer:
8n + 1, where n is a whole number greater than or equal to 0.
Step-by-step explanation:
Every number on this list is one more than a multiple of 8, so if n is a whole number great than or equal to 0, the expression 8n describes every multiple of 8, and 8n + 1 describes every number one more than a multiple of 8.
The sequence is an arithmetic sequence.
The pattern is 1 + (n - 1)8.
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
Example:
2, 4, 6, 8 is an arithmetic sequence.
We have,
1, 9, 17, 25, 33,....
This is an arithmetic sequence.
The first term is 1.
a = 1
The common difference is 8.
d = 8
i.e
9 - 1 = 8
17 - 9 = 8
25 - 17 = 8
The nth term of an arithmetic sequence.
= a + (n -1)d
= 1 + (n - 1)8
Thus,
The pattern of the sequence is 1 + (n - 1)8.
Where n is the term of the number.
Learn more about arithmetic sequence here:
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Find the volume of the following solid figure. Use = 3.14.
V = 4/31tr3. A sphere has a radius of 4.5 inches.
Volume (to the nearest tenth) =
cubic inches.
381.5
56.5
84.8
Answers
PLEASE HELP ME I REALLY NEED IT
Answers
Answer:
D. The hypotenuse is 10 cm.
Step-by-step explanation:
6²+8²=c²
36+64=c²
100=c²
√100=c
10=c
I NEED HELPPPPP!!!! PLZZZ
Answers
Answer:
13.5
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST What is the sign of 4ab when a>0 and b<0
a. Positive
b. Negative
c. Zero
Answers
Answer: b
Step-by-step explanation:
4ab
[tex]a>0[/tex] a will always be positive.
[tex]b<0[/tex] b will always be negative.
4(a)(-b)
-4ab
Answer:
the answer is A
Step-by-step explanation:
khan said so
From the sample population of students with blond hair, what is the approximate value of the relative frequency of students with green eyes? A. 0.25 B. 0.33 C. 0.27 D. 0.07
Answers
Answer:
A.0.25
Step-by-step explanation:
Answer: C 0.27
Step-by-step explanation:
Find the least number which must be added to each of the following numbers to make them a perfect square. Also find the square root of the perfect square number so obtained: a) 5678
Answers
Answer:2
Step-by-step explanation:22*
Answer:
5 = 25 = 5
6 = 36 = 6
7 = NA
8 = 81 = 9
What is the value of x, if the volume of the cone is 12 pi m^3?
4 m
5 m
6 m
10 m
Answers
Answer:
4 m
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h
12 pi = 1/3 pi (3)^2 x
12 pi = 1/3 pi 9 x
12 pi = 3pi x
Divide each side by 3 pi
12 pi / 3pi = 3pix/ 3pi
4 =x
A car travels m miles per hour. Which variable expression represents the number of miles traveled in 8 hours?
A. m/8
b. m-8
c. 8m
d. 8÷m
Answers
Answer:A Idk if this is right!
Two cars are 270 miles apart and traveling toward each other on the same road. They meet in 3 hours. One car is traveling 6 mph faster than the other. What is the speed of each car?
Answers
Answer:
42
Step-by-step explanation:
3(x+x+6)=270
3(2x+6)=270
6x+18=270
6x=252
x=42
PLSSSS help
Marking BRainlist
Answers
Answer: x = 14 for the first one, x = 4 for the second
Step-by-step explanation:
8x - 9 = 7x + 5
subtract 7x from both sides
x - 9 = 5
add 9 to both sides
x = 14
8x + 9 = 3x + 29
subtract 3x from both sides
5x + 9 = 29
subtract 9 from both sides
5x = 20
divide both sides by 5
x = 4
x = 14
the second one is
x = 4
Write this algebraic expression in words 5(n-4)+7
Answers
Answer:
Five times the difference of n and four plus seven
Step-by-step explanation:
Five times the difference of n and four plus seven
Answer:
five multiplied by the difference of N and four plus seven
