a computer programer is making 12,100 more dollars than the technichan.
The capacity of a small children’s swimming pool is 106 gallons of water. There are currently 15 gallons of water in the pool. You are filling the pool at a rate of 2 gallons per minute.
1. Write an equation that gives the amount y (in gallons) of water in the pool as a function of the number x minutes from now.
2. After how many minutes will the pool be full?
Answer:
1. y=2x+15
2. 45.5 min
Step-by-step explanation:
1. You find 2x by looking at the give rate of gallons (2) a min (x). This information is given in the word problem. This gives the equation of y=2x. But you already have 15 gallons in the pool, so you need to add the +15 at the end of the equation giving you y=2x+15.
2. Y is the total gallons. This is 106 gallons (given in the word problem). We are trying to solve for x (# of minutes to fill the pool). 106=2x+15. subtract 15 from both sides giving 91=2x. Divide both sides by 2 giving x=45.5. It will take 45.5 minutes to fill up the pool.
6. Steve is packing sacks for treats at a party. Every sack is exactly the same. Steve has 42 candy bars and 126 lollipops. a. What is the greatest number of treat sacks Steve can make? b. How many of each kind of treat is in one sack?
Answer:
Greatest sack = 42
1 candy bar and 3 lollipops
Step-by-step explanation:
Represent Candy bars with C and Lollipops with L
[tex]C = 42[/tex]
[tex]L= 126[/tex]
Solving (a): Greatest number of treat sacks
To solve this, we simply calculate the GCF of C and L
[tex]42 = 2^1 * 3^1 * 7^1[/tex]
[tex]126 = 2^1 * 3^2 * 7^1[/tex]
Hence, the GCF is
[tex]GCF = 2^1 * 3^1 * 7^1[/tex]
[tex]GCF = 42[/tex]
Hence, greatest number of sack is 42
Solving (b): Number of treat in each sack.
To do this, we simply divide the number of C and L by the calculated GCF
For C:
[tex]Treats = \frac{C}{GCF}[/tex]
[tex]Treats = \frac{42}{42}[/tex]
[tex]Treats = 1[/tex]
For L:
[tex]Treats = \frac{L}{GCF}[/tex]
[tex]Treats = \frac{126}{42}[/tex]
[tex]Treats = 3[/tex]
Hence, 1 candy bar and 3 lollipops
Solve the system by substitution 10x-2y=-16 and y=3x
Answer:
x=4
Step-by-step explanation:
10x- 2(3x)=-16
10x-6x=16
4x=16
x=16/4=4
The sum of the digits of a certain two-digit number is 7. If you flip the digits of the two-digit number, the number is increased by 9. What is the two digit number?
Answer:
34
Step-by-step explanation:
3 + 4 = 7
34 increased by 9 is 43.
Aquarium II contains 54.6 gallons of water. Isaac will begin draining Aquarium II at a rate of 0.8 gallon per minute.
After how many minutes will both aquariums contain the same amount of water?
What is 5(pi) /6 radians converted to degrees? If necessary, round your answer to the nearest degree
ANSWER IS 150 DEGREES
Answer:
C
Step-by-step explanation:
By converting radians 5π /6 into a degree, we get the nearest degree 150.
How to convert radians into a degree?
We can convert radians into a degree by using the formula
Degree = Radians x (180°) / π
To 5π /6 convert radians into a degree,
Degree = Radians x (180°) / π
Degree = 5π /6 x (180°) / π
= 5 /6 x (180°)
= 150°
Learn more about Degree;
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write an equation for the n th term of the arithmetic sequence -4, 1, 6, 11 ... Then find a(50)
an equation is: a(n) = _n-_
a(50)= _
Answer:
see explanation
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 4 and d = a₂ - a₁ = 1 - (- 4) = 1 + 4 = 5 , thus
[tex]a_{n}[/tex] = - 4 + 5(n - 1) = - 4 + 5n - 5 = 5n - 9
Then
a(50) = 5(50) - 9 = 250 - 9 = 241
C=5/9(F−32)
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5
9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of
5
9
degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
Answer:
The final answer is D) I and II only
Step-by-step explanation:
Think bout what the formula is
y=mx+b
in this case
the slope of the graph is
5/ 9 , which means that for an increase of 1.
C= 5 /9 (F)
C=
5 /9 (1)= 5 /9
Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of
9 /5 degrees Fahrenheit.
Statement II is also true since only answer that has both statement I and statement II as true is D, is not true since 25/81 not 1 degree.
Solve for u .
-3 (-6u+6) - u = 2 (u-6) - 1
Answer: U = 18
Step-by-step explanation:
U in (-oo:+oo)
U/(-6)+2 = -1 // + 1
U/(-6)+1+2 = 0
3-1/6*U = 0 // - 3
-1/6*U = -3 // : -1/6
U = -3/(-1/6)
U = 18
U = 18
Answer:
-3 (-6u+6) - u = 2 (u-6) - 1
18u -18 -u = 2u -12 -1
18u-u-2u=-12-1+18
15u= 5
u =5/15 = 1/3
Step-by-step explanation:
Nevaeh is decorating the Christmas tree. She has 85 red bulbs, 76 green bulbs, 49 yellow bulbs, and 52 blue bulbs.
A. Does she have more red and blue bulbs or green and yellow bulbs?
B. How many light bulbs does she have in all?
Answer:
A) Red and Blue Bulbs
B) 262 lightbulbs.
Step-by-step explanation:
A) red and blue = 85+52=137
Yellow and green = 76+49=125
Answer to A is Red and Blue bulbs
Bulbs in all: We already know from A that there are 137 and 125 so 137+125 is 262.
Hope this helps plz hit the crown :D
help someone please i’ll give brainliest
4. Ollie has a jar of preserves in the shape of the cylinder. If the jar is currently , full of preserves,
what is the volume of preserves in the jar?
Answer: D. 25.12 units3
Step-by-step explanation:
Answer: D
Step-by-step explanation:
so first you need to find the volume of the cylinder which is 100.53
Next, you need to divide the volume by 1/4 which will give you 25.13
Mientras que en variables discretas se utiliza la función de probabilidad, en distribuciones continuas se utiliza la función de densidad., verdadero o falso?
Answer:
Answer: FIRST OPTION
Step-by-step explanation:
The missing picture is attached.
By definition, given a Quadratic equation in the form:
Where "a", "b" and "c" are numerical coefficients and "x" is the unknown variable, you caN use the Quadratic Formula to solve it.
The Quadratic Formula is the following:
In this case, the exercise gives you this Quadratic equation:
You can identify that the numerical coefficients are:
Therefore, you can substitute values into the Quadratic formula shown above:
You can identify that the equation that shows the Quadratic formula used correctly to solve the Quadratic equation given in the exercise for "x", is the one shown in the First option.
Which set of ordered pairs represents a function?
(0, 0), (1, 2), (2, 4), (3, 4)
(0, 1), (1, 2), (2, 3), (2, 4)
{0, 0), (0, 2), (2, 2), (2, 4)
(O0, 1), (1, 3), (1, 5), (2, 6)
Step-by-step explanation:
на я был в bbs я был в душе
If you are buying at item at a store for a price of $61, and there is a 6.7% tax added on top, what would be the total amount due at the register, to the nearest cent?
Answer:
The total amount due at the register will be: $65.09
Step-by-step explanation:
The cost of an item = $61
tax on item = 6.7%
The tax amount = 6.7% × 61
= 0.067 × 61
= $ 4.09
The total cost = cost of an item + tax amount
= $61 + $4.09
= $65.09
Therefore, the total amount due at the register will be: $65.09
Please answerrrrrr I I’m horrible at this
Answer:
Ok is there options? Because that will make it easy but I dont think your supposed to ask for help on a district test
Will Give Brainly if correct
Select all the angle measurements that are correct
g=24,
h=24,
f=151,
g=29,
b=132,
h=19
Answer:
a = 132
b = 132
d = 29
e = 29
f = 151
g = 24
h = 24
HELP!!!!
When is Ann's distance from home increasing the fastest? give a reason to support your answer
PLEASE HELP ME.
The coordinates for the vertices of quadrilateral ABCD are A(-3,2) B(-2,6) C(2,7) and D(1,3). Use this information to answer the questions below.
Slope of side AB:
A. 1/4
B. 4/1
C. -1/4
D. -4/1
Slope of side CD
A. 1/4
B. 4/1
C. -1/4
D. -4/1
Slope of side DA
A. 1/4
B. 4/1
C. -1/4
D. -4/1
Classify the quadrilateral
A. Square
B. Rectangule
C. Rhombus
D. Parallelogram
E. Trapezoid
Answer:
B, B, A
Step-by-step explanation:
I don't know number 4 answer. hope I helped
Two families go skiing on a Saturday. Together, they spend $95 on pizza at a local restaurant and $65.73 for breakfast. One family purchases two adult lift tickets and four youth lift tickets for $166. Another family purchases four adult lift tickets and five youth lift tickets for $263. How much would it cost two adults and five kids to ski for a day?
Answer:
$189
Step-by-step explanation:
We can create a system of equations to solve this equation. They are as follows:
[tex]2A + 4Y = 166\\4A + 5Y = 263[/tex]
In this case, I used "A" to represent adult lift tickets and "Y" to represent youth lift tickets.
We need to get one of the variable (A or Y) by itself in one of the equations. I am going to use the first equation.
[tex]2A = -4Y + 166\\A = -\frac{4}{2}Y + \frac{166}{2} \\A = -2Y + 83[/tex]
Now that we have A by itself we can plug it into the second equation.
[tex]4(-2Y + 83) + 5Y = 263\\-8Y + 332 + 5y = 263\\-3Y + 332 = 263\\-3Y = -69\\Y = 23[/tex]
We have found Y now lets plug it back into the first equation to find the value of A.
[tex]2A + 4(23) = 166\\2A + 92 = 166\\2A = 74\\A = 37[/tex]
Let's check our variables by plugging them both in to the second equation.
[tex]4(37) + 5(23) = 263\\148 + 115 = 263\\263 = 263[/tex]
Lastly, we can find out how much it would cost 2 adults and 5 kids to ski for a day, using this equation:
[tex]2A + 5Y = ?\\\\2(37) + 5(23) = ?\\\\74 + 115 = 189\\[/tex]
Therefore, 2 adult tickets and 5 kid tickets would cost $189.
Hope this helps!!
- Kay :)
If you have any questions feel free to ask!
Fraction help for math class help. Simplify
Answer:
7 13/20
Step-by-step explanation:
Answer:
7 13/20
Step-by-step explanation:
add whole numbers add fraction parts
3+4=7
2/5=8/20
1/4=5/20
8/20+5/20=13/20
7+13/20=7 13/20
Hi, i need help Pleases.
Answer:
D. it has all the odd number in between 2-20 and in order
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Those are all the odd numbers between 2 and 20
You will get the degree of the polynomial by adding the exponent of the variable include in the polynomial.
True
False
Answer:
Step-by-step explanation:
THe answer is true
A passenger in an airplane looks out the window and spots the airport in the distance. The angle of depression to the airport is 63°, and the airplane is flying at 18,000 feet. What is the horizontal distance to the airport?
9514 1404 393
Answer:
about 9171 feet
Step-by-step explanation:
It can help to draw a diagram.
The relation between angle, opposite side, and adjacent side in a right triangle is ...
Tan = Opposite/Adjacent
tan(63°) = (18000 ft)/(horizontal distance)
horizontal distance = (18000 ft)/tan(63°) ≈ 9171 ft
The horizontal distance to the airport is about 9171 feet.
Your bill at a restaurant is $36.00. How much tip should you leave if the average amount for a tip is 15%?
Answer:
$5.40
Step-by-step explanation:
Hoped I helped! Im Eve btw. Have an amazing day and consider marking this brainliest if you do thank you in advanced!
Will be mark brainless please answer correctly
Select the correct answer.
Consider functions hand k.
A. 1
B. -3
C. 2
D. 4
for
A purse costs $21.50 plus 7.5% tax. How much tax will a customer pay
the purse?
A)$0.75
B)$1.61
C)$3.76
D$16.13
PLZ CHECK, DON'T SPAM PLZ
its attached below
Answer:
correct answer given
Answer:
C
Step-by-step explanation:
The constant term in a polynomial expression is the numeric term with no variable attached to it.
In this case the constant is + 1 → C
Which of the following best classifies a quadrilateral with coordinates A(2, 6), B(5, 1), C(10, 4), and D(7, 9)?
Rectangle
Parallelogram
Rhombus
Square
Answer:
Square
Step-by-step explanation:
I took the flvs test, and I actually looked on course hero (a trusted site) and found it was square, then worked the problem out and found out it was actually a square.
Quadrilateral is a polygon with four sides. The specified quadrilateral falls in the category shown by: Option
What is a quadrilateral?Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.
What is a parallelogram?That quadrilateral in which opposite sides are parallel is called a parallelogram.
Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
What is a rectangle?That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle.
A rectangle is always a parallelogram and a quadrilateral but reverse statement may or may not be true.
What is a rhombus?Its a parallelogram but all sides of same length. Its diagonals are perpendicular bisector of each other, but might not be equal.
What is a square?That rectangle whose all sides are equal is called a square.
A square has its diagonals perpendicular bisector of each other and are of same length. (this is actually a characteristic property, which means that if a quadrilateral has its diagonals equal and perpendicular, then it is a square for sure).
A square is always a rectangle, parallelogram, a rhombus and a quadrilateral but its reverse statement may or may not be true.(ie it is not always necessary that a rectangle is a square or a parallelogram is a square or a rhombus is a square).
What is the distance between two points ( p,q) and (x,y)?The shortest distance(straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
[tex]D = \sqrt{(x-p)^2 + (y-q)^2 }[/tex](in units)
How to find if two lines are perpendicular to each other?If two lines are perpendicular to each other, then their slopes are negative reciprocal of each other. That means, if one line's slope is 'a', then its perpendicular line's slope would be -1/a
For the given case, the coordinates of the vertices of the quadrilateral are: A(2, 6), B(5, 1), C(10, 4), and D(7, 9)
The diagonals are AC and BD.
Slope of AC = [tex]m_{AC} = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{4-6}{10-2} = -1/4[/tex]
Slope of BD = [tex]m_{BD} = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{9-1}{7-5} = 4[/tex]
It is visible that AC and BD's slope are negative reciprocal of each other. Thus, they are perpendicular to each other. Thus, the quadrilateral is either a square or Rhombus
Now, finding lengths of the diagonals:
[tex]|AC| = \sqrt{(4-6)^2 + (10-2)^2 } = \sqrt{4 + 64} = \sqrt{68}[/tex]
[tex]|BD| = \sqrt{(7-5)^2 + (9-1)^2 } = \sqrt{4 + 64} = \sqrt{68}[/tex]
Thus, their lengths are also same,
This is why, the considered quadrilateral is a square.
Learn more about square here:
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Please someone help me with this
Answer:
Looks like at (3,21) the graph intersects, meaning both values are equal to one another.