kathy sees 13 fish in the tank. 6 fish are gold. the rest are blue or red. how many of each could she see?
When four gallson are added to a tank that is one-third full, the tank is then one-half full. What is the capacity of the tank in gallons?
Answer:
24 gallons
Step-by-step explanation:
To answer this question let's call "a" the capacity of the tank in gallons.
Initially it is one third of its capacity, but when 4 gallons are added, it is half full.
This statement can be written as an equation in the following way:
[tex]\frac{1}{3}a+4=\frac{1}{2}a\\[/tex] (1)
This equation represents the given conditions, therefore solving it we can clear "a" the capacity of the tank in gallons
Solving the equation we have:
[tex]\frac{1}{3}a-\frac{1}{2}a =-4\\a (\frac{1}{3}-\frac{1}{2}) = -4\\a (-\frac{1}{6}) = -4\\a (\frac{1}{6}) = 4\\a = 24\\[/tex]
Therefore the capacity of the tank is 24 gallons.
We can check this result by verifying if it meets the given conditions. The half of 24 is 12. Therefore, if we divide 24 at 3 and then add 4, we should get half the capacity of the tank, that is, 12 gallons.
[tex]\frac{24}{3} = 8\\8 + 4 = 12[/tex]
12 is half the capacity of the tank, then equation (1) is met and the result is checked
Solve for x. −23(3x−4)+3x=56 who ever solves right first gets brinlyest
Step 1: Simplify both sides of the equation.
−23(3x−4)+3x=56
(−23)(3x)+(−23)(−4)+3x=56(Distribute)
−69x+92+3x=56
(−69x+3x)+(92)=56(Combine Like Terms)
−66x+92=56
−66x+92=56
Step 2: Subtract 92 from both sides.
−66x+92−92=56−92
−66x=−36
Step 3: Divide both sides by -66.
−66x /-66= -36/-66
x= 6/11
Final answer:
To solve the equation -23(3x-4)+3x=56, distribute the -23, combine like terms, and solve for x, resulting in x=6/11 or approximately 0.5455.
Explanation:
To solve the equation −23(3x−4)+3x=56, we need to distribute the -23 inside the parentheses and then combine like terms.
First, distribute:
(-23)(3x) + (-23)(-4) + 3x = 56-69x + 92 + 3x = 56Then, combine like terms:
-66x + 92 = 56-66x = 56 - 92-66x = -36Finally, divide both sides by -66 to solve for x:
x = -36 / -66x = 36/66x = 6/11 or approximately 0.5455The solution is x = 6/11. It is important to note that we cannot verify this solution with the information provided about identities or other equations because they do not pertain directly to this problem. To check our result, substituting x back into the original equation should yield a true statement.
Explain how to distinguish between rational and irrational numbers
A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers. The number 8 is a rational number because it can be written as the fraction 8/1 where as an irrational number cannot be expressed as a ratio between two numbers and it cannot be written as a simple fraction because there is not a finite number of numbers when written as a decimal. Instead, the numbers in the decimal would go on forever, without repeating.
Answer:
Rational Number is defined as the number which can be written in a ratio of two integers. An irrational number is a number which cannot be expressed in a ratio of two integers. In rational numbers, both numerator and denominator are whole numbers, where the denominator is not equal to zero.
Step-by-step explanation:
simplify the expression 6X + 12 y + 5 + 2y + 8
what is the coefficient
what is the constant
Quick help!!! Will give brainliest
down six over two im not sure though
Chris ran 2.5 laps in 81 seconds , what was his average time per lap
If Chris ran 2.5 laps in 81 seconds,
his average time per lap would be 81/2.5 ,
that is 32.4 seconds.
jimmy 209,835 stamps . susie has 9,375. if jimmy gives her 38,998stamps how many stamps will jimmy have
This is simple subtraction.
Jimmy has 209,835 stamps and gives away 38,998 stamps.
this leaves Poor Jimmy with only 170,837 stamps
x-7>10 is x> Fill in the blank and show your work?
what are 2 ways of solving this proportion? 4/5 = 28/x
The first way is to cross multiply
4/5 = 28/x
4x = 5*28
4x = 140
4x/4 = 140/4
x = 35 which is the answer
=============================================
The second method is to note the denominators 4 and 28, and to ask yourself "what times 4 gets me 28?". The answer being 7, so 7*4 = 28. If you multiply top and bottom of the fraction 4/5 by 7, then you end up with 7*4 = 28 up top and 7*5 = 35 down below. This is another way of seeing how 4/5 = 28/35
Either way, the answer is x = 35
erica can run 1/6 of a kilometer in a minute her school is 3/4 of a kilometer away from her home at this speed how long would it take erica to run home from school
Answer: 4.5 minutes.
Step-by-step explanation:
1. You have the following information given in the problem above:
- Erica runs [tex]\frac{1}{6}km[/tex] in a minute.
- The school is [tex]\frac{3}{4}km[/tex] away from her home.
2. Therefore, to solve the exercise you must multiply [tex]\frac{3}{4}km=0.75km[/tex] by 1 minute and divide this by [tex]\frac{1}{6}km=0.166km[/tex], as following:
[tex]x=\frac{(0.75km)(1min)}{(0.166km)}\\x=4.5min[/tex]
3. Therefore, the result is 4.5 minutes.
Answer:
4.5
Step-by-step explanation:
the product of fwo consecutive integers is 182. find two pairs of integers that have this product. explain your answer.
The two sets of consecutive integers that multiply to 182 are (13, 14) and (-13, -14). First, find the factors of 182 then identify which pairs of these factors are consecutive.
Explanation:The problem at hand is finding two pairs of integers that multiply to 182. Since the integers are consecutive, we can use a knowledge of factors to solve this. The pairs (13, 14) and (-13, -14) meet this criteria of consecutive integers that multiply together to give a product of 182. Here is the step-by-step explanation:
Begin by finding factors of 182, which are 1, 2, 7, 13, 14, 26, 91, 182.Next, identify pairs of these factors that differ by 1 because the problem specifies the numbers are consecutive. The pairs are (13, 14).Don't forget that negative integers can also be consecutive. So, the other pair is (-13, -14), since consecutive integers include both positive and negative integers.Learn more about Product of Consecutive Integers here:https://brainly.com/question/27923045
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The complement of an angle is 53 what is the measure of the angle
angle = 37°
complementary angles have a sum of 90°
the angle whose complement is 53° = 90° - 53° = 37°
Evaluate p4+pq when p=8 q=6
How many zeros will the product of 700 and 300 have?
The answer would be 4.
700 x 300 = 210,000
First multiply 700 and 300
700 x 300= 210000
Now count the zeros in the number.
So the product of 700 and 300 have 4 zeroes.
Another way to do this is just count the zeroes under 700 and 300.
When you multiply any two numbers that have zeroes the zeroes will practically add together.
For example. 10 x 10 =100, they had one zero and the total has 2 zeroes.
Or 30 x 40=1200 they had one zero and the total has 2 zeroes.
what is the area of the square
Answer:
36 M
Step-by-step explanation:
For a square, you can multiply the given side length by 4 to get the area.
A homeowner wants fence her rectangular backyard. The yard is 75ft by 90ft. If fencing costs $6 per foot how much will it cost to fence the yard?
The total cost to fence a 75ft by 90ft backyard at $6 per foot is $1980. This is found by first calculating the perimeter of the yard and then multiplying this by the cost per foot.
Explanation:To calculate the total cost of fencing the rectangular yard, we must first work out the perimeter of the yard. The perimeter of a rectangle can be found using the formula 2(length + width). In this case, the length is 75ft and the width is 90ft.
So, the perimeter is 2(75ft + 90ft) = 2(165ft) = 330ft.
Then, to find the total cost, we multiply the perimeter by the cost per foot. That is:
Total Cost = Perimeter x Cost Per Foot.
Therefore, the Total Cost = 330ft x $6/foot = $1980.
So, it would cost $1980 to fence the backyard.
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which of the following is the graph of an arithmetic sequence whose first term is 2 and common difference is 0.5
Solution
The general form of the n-th term = a + (n-1)d
An = 2 +(n-1)0.5
An = 2 + 0.5n - 0.5
An = 0.5n +1.5
Here the slope is 0.5 and y-intercept is 1.5
Therefore, the line start from y = 1.5 rises 0.5 level because the slope is 0.5
Now look at the graph.
The graph D start from 1.5 and moves at the rate of 0.5
The answer is Graph D.
what is 1/4 to percent
It would be 25% because how to make dollar .25 .50 .75 1.00
Which of the following functions are written using function notation? g(x) = 5x + 2 y = 1 x h = x2 r(x) = x f/x = x5 - 3 b(x) = 1 2 x3 p/x = -7x k(x) = - 3 x + 1 y = mx + b fx = -x3 + 4
We are given : g(x) = 5x + 2.
y = 1 x
h = x^2
r(x) = x
f/x = x^5 - 3
b(x) = 1/2 x^3
p/x = -7x
k(x) = - 3 x + 1
y = mx + b
fx = -x^3 + 4
Note: Function is written in the from of f(x) and read as function f of x.
There could be any letter used for function, like h(x), g(x), k(x).
Therefore, in the given options the following are in function notations only:
g(x) = 5x + 2.
r(x) = x
b(x) = 1/2 x^3
k(x) = - 3 x + 1.
Answer:
g(x) = 5x + 2.
r(x) = x
b(x) = 1/2 x^3
k(x) = - 3 x + 1.
Step-by-step explanation:
Write the slope-intercept form of the equation for the line.
Write the slope-intercept form of the equation for the line.
The slope intercept form of the line is ,
> y = mx + c
where
m is slope c is y intercept .For example :-
> y = 3x + 4
The line passes through (0,3) and has a slope of 4 .keith rented a truck for one day. There was a base fee of $15.95, there was an additional charge of 94 cents for each mile driven . keith had to pay $159.77 when he rented his truck. for how many miles did he drive the truck
Hey there!!
The base fee was $15.95 and an extra of $94 cents, 94 cents can be written as $0.94. The number of miles can be denoted as 'm' as the number of miles can vary and it is a variable.
The total cost would be = The base price + The cost for number of miles driven.
The total cost = $15.95 + $0.94 × ( the number of miles driven ).
∴ The number of miles is driven as 'm'.
The total cost = $15.95 + 0.94m
The total cost is given $159.77
Hence,
... $15.95 + $0.94m = $159.77
Subtract 15.95 on both sides :
... 0.94m = $159.77 - $15.95
... 0.94m = 143.82
Dividing by 0.94 on both sides :
... m = 143.82 / 0.94
... m = 153
Hence, the number of miles driven is 153 miles.
Hope my answer helps!!
To solve this, we subtract the base fee from the total fee to find the total cost for the miles driven. Then, we divide this by the price per mile to find the number of miles driven. Keith drove approximately 153 miles.
Explanation:This is a problem of linear equations, which is a part of Mathematics. Here we are working with the cost of a rented service. In this case, Keith has to pay both a base fee and a fee per mile driven in the truck.
The total fee Keith paid for the rental is the combination of the base fee and the fee for the miles driven. Given that the base fee is $15.95 and the total fee is $159.77, we first need to subtract the base fee from the total fee, which gives us $159.77 - $15.95 = $143.82. This amount is the total fee for miles driven.
As each mile costs him $0.94, we can find out how many miles Keith drove by dividing the cost of miles driven by the price per mile. So, Keith drove $143.82 ÷ $0.94 = approximately 153 miles.
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persons who use drugs relatively infrequently and define drug use as pleasurable are called
i believe the answer would be - recreational drug user.
hope this helps you out!
Recreational drug users engage in occasional, pleasurable drug use for leisure or social purposes. While they may not show signs of dependency, awareness of potential risks is essential. Responsible use and moderation are key.
Individuals who use drugs relatively infrequently and define drug use as pleasurable are often referred to as recreational or occasional drug users. These individuals typically use substances like alcohol, cannabis, or other recreational drugs on a sporadic basis, and they may not exhibit signs of dependency or addiction.
For them, drug use is a choice made for leisure or social purposes, rather than a habitual or compulsive behavior. Recreational drug users tend to consume substances in social settings, during special occasions, or for specific experiences such as relaxation or enhancing social interactions.
It is important to note that while these individuals may not display the same level of risk associated with frequent or heavy drug use, they should still be aware of potential health and safety risks associated with any form of drug consumption. Responsible use, moderation, and informed decision-making are crucial aspects of recreational drug use.
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solve the equation below for x 200=50e^3x
Answer:
x= In4/3
Step-by-step explanation: other answer
PLEASE HELP!!! I attached a snip of my question
Answer:
The answer is
Step-by-step explanation:
In the attachment!
x=18
x=22.5
x=30
x=54
Since (x+90) and 4x are vertical angles, and vertical angles are congruent, you can set them equal to each other.
x+90=4x
90=3x
x=30
Answer:
The value of [tex]x[/tex] is 30°Step-by-step explanation:
Observe that (x + 90)° and 4x° are verticle angles.
By definition, those angles are equal, taht is
[tex]x+90=4x[/tex]
Then, we solve for [tex]x[/tex]
[tex]90=4x-x\\3x=90\\x=\frac{90}{3}\\ x=30\°[/tex]
Therefore, the value of [tex]x[/tex] is 30°. The third choice is correct.
the coordinates of point T are (0,4). the midpoint of ST is (7,-5). find the coordinates of point S
The formula of a midpoint:
[tex]M_{ST}\left(\dfrac{x_S+x_T}{2},\ \dfrac{y_S+y_T}{2}\right)[/tex]
We have:
[tex]T(0,\ 4)\to x_T+0,\ y_T=4\\M(7,\ -5)\to x_M=7,\ y_M=-5[/tex]
Substitute:
[tex]\dfrac{x_S+0}{2}=7\qquad|\cdot2\\\\x_S=14\\\\\dfrac{y_S+4}{2}=-5\qquad|\cdot2\\\\y_S+4=-10\qquad|-4\\\\y_S=-14[/tex]
Answer: S(14, -14).what statement complete the proof below given 3x+ 7=x-5
To complete the proof given 3x+7=x-5, we need to find the value of x that satisfies the equation. The statement that completes the proof is x = -6.
Explanation:To complete the proof given 3x+7=x-5, we need to find the value of x that satisfies the equation. Let's solve for x:
Combine like terms: 3x - x = -5 - 7 Simplify the equation: 2x = -12 Divide both sides of the equation by 2: x = -6
The statement that completes the proof is: x = -6.
Cindy's Smoothie Shop sells blueberry smoothies for $5 and mango smoothies for $4. Today, Cindy sold four more mango smoothies than blueberry smoothies and made $52. How many MANGO smoothies did CIndy sell today?
Cindy sold 8 mango smoothies today. This was determined by solving a system of linear equations that was created based on the information provided in the problem.
Explanation:This problem is a classic example of a system of linear equations. Let's denote the number of blueberry smoothies as x and the number of mango smoothies as y. From the problem, we know that the price of a blueberry smoothie is $5 and the price of a mango smoothie is $4. Therefore, we have our first equation: 5x + 4y = 52. Cindy also sold four more mango smoothies than blueberry ones, which gives us the second equation y = x + 4.
Now, we need to solve this system of equations. Let's substitute y from the second equation into the first, and solve for x: 5x + 4(x + 4) = 52. This gives x = 4 (number of blueberry smoothies), so y = x + 4 = 8 (number of mango smoothies).
So, Cindy sold 8 mango smoothies today.
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What is the value of 5 in 756? Write and draw to explain how you know
The 5 in 756 is in the tens place meaning that it equals to 50. That would mean that it is 5 groups of 10