Answer:
179/180
Step-by-step explanation:
Step One
Find the prime factors of 18 and 20
18:3*3*2
20: 2 * 2 * 5
Step Two
You need two 2s two 3s and one 5 for the common denominator
The common denominator is 2 * 2 * 3 * 3 * 5 = 180
Step Three
Put the two fractions over 180
[tex]\dfrac{17*10}{10*18} + \dfrac{1*9}{10*18}[/tex]
[tex]\dfrac{170}{180} + \dfrac{9}{180}[/tex]
179/180
A parabola's focus is at (0,-2) and its directrix is at y=2. What is the equation for the parabola?
The equation of the parabola with focus at (0,-2) and directrix at y=2, which opens downward, is y = -1/16x².
Explanation:To find the equation of the parabola with focus at (0,-2) and directrix at y=2, we recall that a parabola is the set of all points equidistant from a point called the focus and a line called the directrix. Since the focus is below the directrix and on the y-axis, this parabola opens downwards.
Steps to Find the Parabola's Equation
Calculate the distance p between the focus and directrix, which is the absolute value of the y-coordinate of the focus minus the y-coordinate of the directrix. Here, p = 2 - (-2) = 4.
The standard form of a vertical parabola opening downwards is y = a(x - h)² + k, where (h, k) is the vertex of the parabola. In this case, the vertex lies halfway between the focus and directrix, which is at (0,0).Since the parabola opens downwards and p = 4, we have a = -1/(4p). Thus, a = -1/16.Plugging the values of h, k, and a into the standard form, we get the parabola's equation: y = -1/16(x - 0)² + 0, or simplified: y = -1/16x².if a person bikes 2.r miles in 10 minutes,how far can he bike in 1.5 hours
a person must be at least 55 inches tall to go on the carnival ride. who can go on the ride?
Any person who is 55 inches or taller can go on the carnival ride. This is an inference made using inequalities in Mathematics. For instance, if one person is 58 inches tall and another is 52 inches tall, only the person 58 inches tall meets the height condition.
Explanation:The criterion to go on the carnival ride, as provided in the question, is that the person must be at least 55 inches tall.
Therefore, any person who is 55 inches or taller can go on the carnival ride. This is a basic application of inequalities in Mathematics.
For example, if John is 58 inches tall and Maria is 52 inches tall, only John would be able to go on the ride because he meets the height requirement (58 is greater than or equal to 55), whereas Maria does not (52 is less than 55).
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Anyone who meets or exceeds the minimum height requirement of 55 inches can go on the carnival ride, as this is the condition set by the operators.
The question pertains to a necessary condition that must be met for a person to engage in an activity at a carnival. Specifically, we're discussing a minimum height requirement for a ride. Whoever meets or exceeds this height requirement of 55 inches can go on the ride. To determine who can go on the ride, you have to measure each individual’s height and compare it with the minimum height restriction set by the carnival ride operators.Problems 4-5
Prove statements about segments and angles
Answer:
15
15
Step-by-step explanation:
x + 20 = 35
- 20 -20
x = 15
5x - 14 = 16 + 3x
+ 14 +14
5x = 30 + 3x
-3x - 3x
2x = 30
x = 15
1440 in expanded form
7/11 x 22/28 use gcf
Answer: 1/2
Step-by-step explanation:
7
11
×
22
28
=
7 × 22
11 × 28
=
154
308
=
154 ÷ 154
308 ÷ 154
=
1/2
This is Function or no? Can you help me please?)
Only 19 is a function because a function only has one y value for every x value. For the other graphs, there are at least two y values for each x value.
what are the positive factors of 54?
Mustafa’s soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100. The team decides to charge each student $5.00 to attend the dance. If n represents the number of students attending the dance, which equation can be used to find the number of students needed to make $1,500 in profit?
First, add the profit wanted with the costs.
1500 + 200 + 100 = 1800
The total amount wanted is 1800. Each student pays $5, and so you divide by 5
1800/5 = 360
360 students must show up.
The equation used is:
Let student = s
Total cost = 200 + 100
Charge = 5n
Profit = 1500
1500 = 5n - 300 (is equation)
Hope this helps
Answer is A. 5n - 300 = 1,500
Gretchen went to the market.she bought 4/8kg of flour and 8/9kg of rice.How much more rice than flour did she buy?
HELP ME 6xy^-2 / x^-3 = 6x ___ / y^2
Answer: k=x^3
Step-by-step explanation: When I solved this, I got that the blank (which I assigned to variable k to) is equal to x^3 (this means that the answer of the blank depends on the value you give x).
+ (-7) = 3 Whats the answer please help
x + (-7) = 3
To solve this, add 7 on both sides
Final Answer: x = 10
X+(-7)=3
x-7=3
Add 7 on both sides.
x-7+7=3+7
x=10
A family has annual loan payments equal to 32% of their annual income. During the year, the loan payments total $15,680. What is the family’s annual income?
The annual Income is 49,000 $.
It is required to find the family’s annual income.
What is arithmetic?The arithmetic refers to working with numbers by doing addition, subtraction, multiplication, and division. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.
Given:
Say, the annual income =x $
(32/100)*x=15680
x=15680*100/32
x =49,000 $
Therefore, the annual Income is 49,000 $
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can some one help me please
First one 18 yards Second one:204 inches Third :36 foot
what is -12=2+5v+2v
2+5y+2y=-12
2+7v=-12
2+7y-2=-12-2
7y=-14
7y/7=-14/7
y=-2
the answer to your question is
v= -2
If you add or subtract a proton from a atom what does it become !
Removing a proton makes the atom negatively charged, adding a proton would result in a positive ion(called a cation). But addition and removal of protons is not really practical, it is an atomic reaction, Not only does it result in a charge but would change the atomic number and therefore what the element actually is.
I don't know if this will help in anyway but I hope it does!
which of the following is an equivalent form of the expression 15x+24ax?
39ax
39(a+2x)
(5+8a)x
15+24a)x
(15+24a)x
Because when using distributed
15(x)+24a(x)
Is
15x+24ax
Hal has 558 cans of soup to put on a shelf.The shelf can hold 72 cans in each row. How many rows can hal make with the soupcans.
7 rows in total. However, to be more precise, it's 7.75. But you round that down to 7, so 7 exact shelves. All you do is 558 divided by 72, and you get 7.75 which is 7 shelves cause you can't half 7 and .75 shelves
Plzzzzz help me due tomorrow first one gets marked brainliest
Is 0:5 and 0:20 equivalent ratios
Answer:
Not for sure but i think so
Step-by-step explanation:
Whats a multiple of 3 thats not a perfect cube?
9 as 9 = 3×3 is square not cube
evaluate 15k when k=3
45, you substitute 3 in for k and multiply
What is the relationship between 5.34x10^5 and 5.34x10^-2
Select from the drop down menus to correctly complete the statement.
5.34x10^5 is 1.)______ times 2.)_____ than 5.34x10^-2.
1. a)100,000
b)1,000,000
c)10,000,000
d)100,000,000
2. a)greater
b) less
5.34x10⁵ is c) 10,000,000 times a) greater than 5.34x10⁻⁻², with the comparison made by analyzing the exponents in scientific notation.
The relationship between 5.34x10⁵ and 5.34x10⁻² can be understood by comparing their magnitudes in scientific notation. Scientific notation allows us to easily see how many times larger or smaller one number is compared to another by comparing the exponents of ten.
When comparing 5.34x10⁵ to 5.34x10⁻², we must look at the difference in exponents. The exponent of the first number is 5, while the exponent of the second number is -2. To calculate how many times greater the first number is than the second, we subtract the smaller exponent from the larger one: 5 - (-2) = 5 + 2 = 7. Therefore, the difference in exponents is 7, which means 5.34x10⁵ is 10⁷ times larger than 5.34x10⁻².
The value of 10⁷ is 10,000,000. Thus, we can say that 5.34x10⁵ is 10,000,000 times greater than 5.34x10⁻².
Estimate the product by rounding 5 x 5,503
27515 Would be the answer now I want YOU to try to estimate it.
determine whether each relation is a function
Which lines, if any, must be parallel based on the given diagram?
m and n are parallel and p and q are parallel from one another (parallel is when they are side by side and can never intertwine) i think the answer is C
A data set has a lower quartile of 3 and an interquartile range of 5 Which box plot could represent this data set?
Answer:
The first box plot.
Step-by-step explanation:
In a box plot, the lower quartile is the right hand side of the box. In the first plot, this is 3.
The upper quartile is the left hand side of the box. In the first plot, this is 8.
The interquartile range is the difference between these two values:
8-3 = 5.
Answer:
the first option
Step-by-step explanation:
the sum of two numbers is 78. one of the numbers is 4 more than the other number, what are the two numbers?
The two numbers are 41 & 37.
The way to solve this is by setting up an equation. We know that 2 numbers are going to equal 78, so here would be the general equation (let x represent the number we don't know):
(x) + (x + 4) = 78
Now, we need to simplify it (combine like terms):
2x + 4 = 78
Then you can solve it like any other equation. Subtract 4 on both sides:
2x = 74
Divide by 2 on both sides:
x = 37.
So, now you know one number is equal to 37 and that the other is 37 + 4.
That's how you get 37 & 41.
X = ?
X +4= ?
(X+4) + x = 78
2X + 4 = 78. Subtract 4 from both sides
You get 2X = 74. Divide both sides by 2 and you get x= 37
Now plug 37 in and you get 37 and 41
I NEED HELP AND FAST 50 POINTS plus brainiest
The geometric probability of throwing a bag through a cornhole board is about 5%. The rectangular dimensions of the board is 24" by 48".
What is the approximate area of the hole in square inches?
Answer:
The answer is .4sqr ft
Step-by-step explanation:
That board is 2 feet by 4 feet:
Area = 2 x 4 = 8 sq. ft.
The hole will have an area that is 5% of this value.
8 sq. ft x 0.05 = 0.4 sq. ft.
Answer:
0.4 sq. ft.
That would be 24 inches the cornholes probability is due to the angles and geometric force. If you throw it at the 24 by 48 dimension of thee board the probability for it to actually go in is a small but more likely chance. if you tweak how hard you are tossing' it the more results you will get of width and distance from the hole. Eventually tho you will indefinitely get it in to the hole.
hope brainy birdy helped you out lol here is me... hope that you get 100% buddy good luck!!!(3 x 10^6) x (3 x 10^ 5)
Answer:
[tex]9*10^{11}[/tex]
Step-by-step explanation:
we have
[tex](3*10^{6})*(3*10^{5})[/tex]
we know that
[tex](a*10^{b})*(a*10^{c})=(a*a)*10^{(b+c)}[/tex] -----> the bases are multiplied and the exponents are added up
so
in this problem
[tex](3*10^{6})*(3*10^{5})=(3*3)*10^{(6+5)}[/tex]
[tex]=9*10^{11}[/tex]