Answer:
10
Step-by-step explanation:
The sum of the measures of the angles of a triangle.is 180 degrees, so:
3x-2+8x-5+7x+7=180
18x=180
x=10
The volume of a cone is 30 pi cubic inches. If the radius of the cone is 3 inches, determine its height.
A school buys 672 rulers to share among 21 classrooms. Each classroom gets the same number of rulers. How many rulers does each classroom get?
Divide rulers by rooms:
672/21 = 32
Each room gets 32 rulers
Answer:
32 rulers per classroom
Step-by-step explanation:
672rulers ÷ 21 classroom
=32 rulers per classroom
mark bought 10 movie tickets for $120. how much will it to buy one ticket
12 tickets --
120/10= 12
Answer:
$12
Step-by-step explanation:
well 12 * 10 = 120 so 12 is 1 ticket
Dennis is saving up for a new video game console that costs $250. He already has $100. if he makes $10 per hour
nowing lawns, how many hours does he need to work in order to buy the console?
What is the equation and answer
Answer:
15 hours
Step-by-step explanation:
Step 1. $250-$100=$150
Step 2. $150÷$10=15 hours
To check answer:
$10x15(hours)=$150
$150+$100=$250
Answer:
15 hours
Explanation:
So start by taking 100 away from 250, to get 150. now divide 150 by 10. 15
4 in
2 in
Hot wewn to see
What are the dimensions of the enlarged rectangle
What are the dimensions of the enlarged rectangle
Answer:
the dimensions are for in plus two in is equal to 6n
1/4 x 2/5 express your awnser in simplest form.
Answer:
1/4*2/5=(1*2)/(4*5)
= 2/ 20
= 1/10
So 1/4* 2/5=1/10
Answer:
1/10
Step-by-step explanation:
1)Draw the fractions.
2) Since you are basically dividing, divide 2
into 4 and your answer should be 2, cross
out 2 and put I because 2 into 2 goes one time,
and cross out 4 and put 2 because 2 into 4 goes 2 times
3) Multiply from across and you will get your answer
1. What is the difference between a line and a line segment?
A. A line is a figure formed by two opposite rays with a shared endpoint, a line segment is a part of
a line that extends forever in one direction.
B. A line is a specific location that is represented by a dot, a line segment is a specific location
represented by two dots.
C. Aline is a portion of a line consisting of two points and all the points between them, and a line
segment is a figure formed by two opposite rays.
D. Aline is a figure formed by two opposite rays and a shared endpoint, and a line segment is a
portion of a line consisting of two points and all the points between them.
Explanation:
Basically a line goes on forever in both directions. A ray only goes off forever in one direction. If we glue together two rays that point in complete opposite directions (eg 1 points north, the other points south) then we form a line.
A line segment is a piece of a line. It doesn't go on forever in either direction. It has 2 endpoints and has a set fixed length. If you know the coordinates of each endpoint, you can use the distance formula to find that length.
Two flower seeds are randomly selected from a package that contains 8 seeds for red flowers and 9 seeds for white flowers. (Give your answer correct to three decimal places.)
(a) What is the probability that both seeds will result in red flowers?
Incorrect: Your answer is incorrect.
(b) What is the probability that one of each color is selected?
(c) What is the probability that both seeds are for white flowers?
Using the hypergeometric distribution, it is found that the probabilities are given as follows:
a) 0.2059 = 20.59%.
b) 0.5294 = 52.94%.
c) 0.2647 = 26.47%.
What is the hypergeometric distribution formula?
The formula is:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.In this problem, the parameters are as follows: N = 17, k = 8, n = 2.
Item a:
This probbility is P(X = 2), hence:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 2) = h(2,17,2,2) = \frac{C_{8,2}C_{9,0}}{C_{17,2}} = 0.2059[/tex]
Item b:
This probbility is P(X = 1), hence:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 1) = h(1,17,2,2) = \frac{C_{8,1}C_{9,1}}{C_{17,2}} = 0.5294[/tex]
Item c:
This probbility is P(X = 0), hence:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,17,2,2) = \frac{C_{8,0}C_{9,2}}{C_{17,2}} = 0.2647[/tex]
More can be learned about the hypergeometric distribution at https://brainly.com/question/24826394
The radius of a circle is 2 centimeters. What is the circle's area?
Answer:
12.56
Step-by-step explanation:
2x2=4
4×3.14=12.56
area = 12.56
The set of all numbers less than or equal to -1.
Answer:
anything before -1 is lower than -1. -1 = -1
Step-by-step explanation:
-10, -9, -8, -7, -6, -5, -4, -3, -2 etc. are in a sense before -1 on a time line and they are all less than -1
Set B represents the set of all the natural numbers less than or equal to -1
[tex]\rm B=\{-\infty ...........-4,-3,-2,-1\}[/tex]
if we include all the numbers the range of set includes every number from
[tex]\rm -\infty \; to -1[/tex] so the set is represented by K
[tex]\rm K = \{ -\infty ,.....-1\}[/tex]
In Mathematics a set is a collection of objects/elements that are constrained by some particular condition.
Let us consider a situation where "S" is the set and the elements are represented by "x"
A set is always denoted in curly braces. Expression (1) represents the set
[tex]\rm S =[/tex] { [tex]\rm x_1.x_2,x_3, x_4,x_5........x_n[/tex]}...........(1)
Set S has elements that are represented as [tex]\rm x_1[/tex][tex]\rm\\where \; i \; represents\; the\; index\; of \; the \; element\\n = number\; of \; elements \; in \; the \; set \; x[/tex]
The set of all the natural numbers less than or equal to -1 is the set of all the negative integers including -1.
So let us say B represents the set of all the natural numbers less than or equal to -1 . Then we can write it as follows
[tex]\rm B=\{-\infty ...........-4,-3,-2,-1\}[/tex]
Set B represents the set of all the natural numbers less than or equal to -1
if we include all the numbers the range of set includes every number from
[tex]\rm -\infty \; to -1[/tex] so the set becomes
[tex]\rm K = \{ -\infty ,.....-1\}[/tex]
For more information please refer to the link below
https://brainly.com/question/4801204
complete the square to make a perfect square trinomial. Write the result as a binomial square. a^2-20a
Answer:
(a-10)^2 = 10^2
Step-by-step explanation:
a^2-20a=0
a^2-20a+100=100
(a-10)^2=100
In AUVW, u = 55 inches, w = 43 inches and angle W=134^ . Find all possible values of angle U , to the nearest degree .
I like marshmallows and weird fives eat food
Need help asap!!
First right answer will get brainliest
answer:
B and C are correct.
explanation:
[tex]\hookrightarrow \sf x^2-5x+5[/tex] where ax² + bx + c
\\ Thus we can determine a = 1, b = -5, c = 5 \\
using quadratic equation:
[tex]\rightarrow \sf x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ \ when \ \ ax^2 + bx + c = 0[/tex]
[tex]\hookrightarrow \sf x_{1,\:2}=\dfrac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:1\cdot \:5}}{2\cdot \:1}[/tex]
[tex]\hookrightarrow \sf x=\dfrac{5+\sqrt{5}}{2},\:x=\dfrac{5-\sqrt{5}}{2}[/tex]
Answer:
B and C
Step-by-step explanation:
[tex]x^2-5x+5=0[/tex]
⇒ a = 1, b = -5, c = 5
Using quadratic formula:
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
[tex]\implies x=\dfrac{5\pm\sqrt{(-5)^2-4\cdot 1 \cdot 5} }{2\cdot 1}[/tex]
[tex]\implies x=\dfrac{5\pm\sqrt{5}}{2}[/tex]
circumference of a clock with the radius of 16 centimeters?
Answer:
100.5309649cm
Step-by-step explanation:
The formula for the circumference of a circle is:
2πr
if the radius is 16cm, we just need to substitute 16 for r:
2π(16)
= 32π
= 100.5309649cm
You can round this however you like, however I would recommend doing either 3 significant figures either 2 or 3 decimals places :)
A trend line passes through the points (-4, 9) and (1, -1). What is the equation of the trend line?
Answer:
✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️
please read and answer the following:
Step-by-step explanation:
here
radius of circle(h,k)=(-7,11)
so ,h=-7
and k=11
r=8
we know that,
(x-h)^2+(y-k)^2=r^2
(X+7)^2 + (y-11)^2= 8^2
X^2+14x+49 +y^2-22y+121= 64
x^2+y^2+14x-22y+106=o is the equation of circle .
can i please get some help!!
Answer:
3 cis(43)
Step-by-step explanation:
When we divide number in polar form, we divide the modulus, and subtract the degrees.
36/12=3
45-2=43
3 cis(43)
consider the following formula used to estimate the height ,h, of a seedling after w weeks since planting:
Answer:
B
Step-by-step explanation:
solve for W
subtract 8/5 from both sides
then multiply by 5
hope this was helpful
Which number line best shows the position of 17?
0
十
J7
+++
+++
||||
-2 -1 0 1 2 3 4
-4
-3
7
01- ++ --
-4 -3 -2 -1 0 1
2 3
4
十
7
-- + Att
-2 -1 0 1 2 3 4
-4 -3
-
-
+- ?
-
+++
-3 -2 -1 0 1
7
| |--
2 3 4 5
-5 4
Answer:
C
Step-by-step explanation:
The square root should be about half of that number so half of 7 is 3.5.
3. Mrs. Galicia started a savings account for her family and started it with an initial deposit of $1600. The account earns 3.75% interest compounded quarterly.
(a) Write an equation to represent the anount of money in the account as a function of time in years.
(b) How much money will be present in the account in 5 years. *please show plug in step*
Hey there!
--› Initial deposit: 1600
--› rate = 3.75%
a) First, convert R as a percent to r as a decimal
r = R/100
r = 3.75/100
r = 0.0375 rate per year,
Substitute into formula
= A = P(1 + r/n)nt
A = P(1 + 0.0375/4)^4t
A = 1,600.00(1 + 0.009375)^4t
b)
A = 1,600.00(1 + 0.009375)^4t
A = 1,600.00(1 + 0.009375)^4(5)
A = 1,600.00(1 + 0.009375)^(20)
A = $1,928.28
The amount of money that will be present in the account in 5 years is P(5) = $1923.36
Exponential equationsThe standard exponential equations is expressed as:
p(t) = p0(1+r)^t
where:
Po is the initial deposit = $1600Rate "r" =3.75% = 0.0375time "t" = 5 yearsSubstitute
P(t) =1600(1+ 0.0375)^t
P(t) = 1600 (1.0375)^t
Hence the equation to represent the aount of money in the account as a function of time in years is P(t) = 1600 (1.0375)^t
If t =5 years
P(t) = 1600 (1.0375)^t
P(t) = 1600 (1.0375)^5
P(5) = $1923.36
Hence the amount of money that will be present in the account in 5 years is P(5) = $1923.36
learn more on compound interest here: https://brainly.com/question/24924853
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What is the volume of the pyramid shown below?
A. 294 cu. units
B. 1008 cu. units
C. 196 cu. units
D. 112 cu. units
Answer:
C) 196 cu. units
Step-by-step explanation:
Volume = lwh/3
= 7 x 7 x 12 / 3
= 588/3
= 196
The volume of a square pyramid is 196 cubic units.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
From the given figure, side of square base is 7 units and height is 12 units.
We know that, the volume of square based pyramid =a²h/3.
Now, volume of a pyramid = 1/3 ×7²×12
= 49×4
= 196 cubic units
Therefore, the volume of a square pyramid is 196 cubic units.
To learn more about the volume visit:
https://brainly.com/question/13338592.
#SPJ7
If you can do all three questions I’ll mark you brainlest!! Thanks <3
Answer:
1. Rate needed 9/6; Unit rate is 1.5/1; 1.5 cans of white paint are needed for each can of blue.
2. rate needed = 12/6; unit rate = 2/1; Need 2 cups of water for every scoop of fruit mix.
3. 70 minutes
Step-by-step explanation:
1. Set up a ratio
3white/2blue = xwhite/6blue
3/2 = x/6
cross multiply 2x = 18; x = 9
rate needed = 9/6
Unit rate is 1.5/1 (divide 3 by 2 or 9 by 6 to get unit rate_
2. 3/1.5 = x/6
1.5x = 18; x = 12
rate needed = 12/6
unit rate = 2/1
3. Set up a ratio.
3.5/.25 ( 1/4=.25)
3.5/.25 = x/5
.25x = 3.5(5)
.25x = 17.5
x = 70 minutes
Answer:
1) Rate: 3/2
Unit Rate: 1.5/1
Interpretation: Every 1 can of blue paint used requires 1.5 cans of white
paint
Solution: 9
Order 2/3,2/9,5/6,11/18 from least to greatest
Answer: 2/9, 11/18, 2/3, 5/6
Step-by-step explanation:
2/3 = 0.6666...
2/9 = 0.2222...
5/6 = 0.8333...
11/18 = 0.61111...
how to write a sine function that has an amplitude of 5 a midline of 4 and a period of 2/7
Answer:
sin(kx) has period 2π/k so, you want 2 + 5sin(16π/7 x)
Step-by-step explanation:
(1.8 dollars)/(1 euro) = (x dollars)/(200 euros)
Answer:
300 dollars
Step-by-step explanation:
$1.8=£1/x dollars=£200
cross multiplying
x=200×1.8
x=$360
Answer:
218.26
Step-by-step explanation:
1 [tex]\frac{913}{10000}[/tex] USD = 1 EURO.
I calculated it on E to USD calculator.
Solve the following equation, and check your solution. Be sure to show all work in order to receive full credit.
Solve -17 + n/5 = 33. steps plsss
Answer:
17=n<
Step-by-step explanation:
17
Answer:
Step-by-step explanation:
17+ n/5=33
17+33-n/5
N= 50..
50/5
8 rabbits=5.5 squirrels
18 deer=2.25 bear
4 hippos=75 groundhogs
How many hippos are in 65.25 rabbits?
Answer:
he bouyancy Force of the hippo using the bouyancy force relation is 24107.1 N.
Given the Parameters :
Density of water = 1 kg/m³
Mass of hippo = 2500 kg
Volume = 2.46 m³
The bouyancy Force is defined as, :
Density of hippo =
Substituting values into the relation :
Therefore, the bouyancy Force is 24107.1 N
Learn more :brainly.com/question/14604866
Step-by-step explanation:
Writing Linear Equations
Answer:
1. y=-3x+7
2. y=3/4x+10
3. y=-5x-2
4. y=12x-6
5. y=1/2x+9
Step-by-step explanation:
for numbers 2, 4, 3, and 5 all you have to do is look at the slope they give you. in a linear equation (y=mx+b) the m is the slope. because there is only one equation with the slope they give you, that is the corresponding answer. but for 1, its a bit more complicated. because they give you a point you have to plug the x value into your equation. for exaple for 1. they give you 0 as the x value so you plug it into one of the equations. and if that equation gives you 7 as the y, then you have your answer.
WILL GIVE BRAINLIEST WILL GIVE BRAINLIEST
Answer:
9
Step-by-step explanation:
The correct answer would be 9
Why do you think y= ax+b is called a linear equation
Please help
Answer:
Y=mx+b Is a linear equasion because if you plot the x and y on a graph it always shows a straight line.
Step-by-step explanation:
For example, y=7x+9,
When x is 1 y is 16, and
when x is 2 y is 23.
When you put those two points on a graph and connect the dots with a ruler, you get a straight line, and you will automatically find that when x is 3 y is 30.
Step-by-step explanation:
Hey there!
Reason:
The power of the term is one.It can be graphed in a at. line on graph.You can simply define linear equation as the equation which has two variables with 1 exponent.
So, you can graph out that why it is called linear equation. It have two variables with 1 exponent.
Hope it helps..