Answer:
y = 24 /x
The operations used were: Multiplication and Division
Step-by-step explanation:
Let the number of students who shared the basket = x
Amount of oranges = y
Some students equally share 2 baskets of oranges. Each basket has 12 oranges.
The total number of oranges in basket = 2 baskets × 12 oranges
= 24 oranges
Therefore, the algebraic expression to represent this situation is written as:
y = 24 /x
The operations used were: Multiplication and Division
what percentage of the 100 square grid is shaded
Answer:
25%
Step-by-step explanation:
Simply count the fully shaded squares; there are 22 of them. Then count the 1/2 filled squares; there are 6 of them. Combine half squares to make whole squares and you end up with 3 full squares.
Add 22+3 to get 25 -- 25 out of 100 = 25%
Hope this helps!
I will give u brainliest if u actually help me explain this in ur own words :,(
When a complex number is in the denominator, why is it necessary to multiply by the conjugate?
Answer:
It just makes doing things (like adding and subtracting other numbers) easier if the denominator is a real number. Other than that we just do it out of tradition
This step is done to make the denominator go from a complex number in the form a+bi into a purely real number in the form a^2+b^2 (where 'a' and b are any real numbers).
This is because multiplying a+bi with its conjugate a-bi leads to the following steps
(a+bi)(a-bi)
(a)^2 - (bi)^2 ... difference of squares
a^2 - b^2*i^2
a^2 - b^2*(-1) .... recall that i^2 = -1
a^2 + b^2
----------------
So for example, if your denominator was 2+3i, then you'd multiply that by the conjugate 2-3i and you'd end up with the final denominator of 2^2+3^2 = 4+9 = 13. In this case, a = 2 and b = 3.
Note: make sure to multiply both top and bottom by a-bi (not just the denominator).
Find the measure of m∠K
Answer:
<k = 20
Step-by-step explanation:
Inscribed Angle = 1/2Intercepted Arc
<K = 1/2 (40)
<k = 20
I will mark you brainliest
Which solutions make this inequality true? 3x>-30?*
X can be - 10
X can be -8
X can be o
X can be -12
x can be 3
Answer:
X can be -8, 0, and 3
Step-by-step explanation:
-8x3=-24
0x3=0
3x3=9
so -24, 0, and 9 are all bigger than -30 because -30 is a negative number.
-24>-30
0>-30
9>-30
Hope this helps!
What is the value of x in the equation -5x+9=
- 3x + 9 = 1 / 8x - 3?
WHATS THE ANSWER
Answer:
0
Step-by-step explanation:
-5x+9=-3x+9
-5x-(-3x)+9=9
-5x+3x=9-9
-2x=0
x=0/-2
x=0
for 1 trial, 3 spinners are spun where each spinner has 3 equal sections labeled 1, 2, and 3. What is the probability that at least two spinners land on 1?
Answer:
80/121
Step-by-step explanation:
For simplicity,
Probabilities of getting a red, a blue or a green in a single spin are, respectively, 4/11, 4/11 & 3/11.
Therefore, probabilities of getting 2 reds, 2 blues or 2 greens in 2 spins are, 16/121, 16/121 & 9/121 respectively.
Then, total probability of getting same colour both times would be 16/121 + 16/121 + 9/121 = 41/121.
Any other option would result in 2 different colours. Thus, the probability of getting two different colours in 2 spins = 1 - 41/121 = 80/121.
Help ASAP (Math) will give brainiest and points!!
Answer:
[tex]2.17 \times 10^{-1}[/tex]
Step-by-step explanation:
[tex](7 \times 10 ^{-6}) + 0.26 - (5 \times 10^{-2}) = \frac{7}{10^3} + \frac{26}{10^2}-\frac{5}{10^2}[/tex]
[tex]= \frac{7 + (26 \times 10) - ( 5 \times 10)}{10^3}\\\\=\frac{7 + 260 - 50 }{10^3}\\\\=\frac{217}{10^3}\\\\= 2.17 \times 10^2 \times 10^{-3}\\\\= 2.17 \times 10^{-1}[/tex]
Write an equation of the line in point-slope form that passes through the given points.
(-1,3) and (-9,-2)
could someone please help
Math/Trigonometry!!!!!!!!!!!!!!!!!!!!!!! 22 pts.
Answer:
Approximately 1,320 feet.
Step-by-step explanation:
Let one person be x miles from the skycraper, then the other one will be 5 - x miles away from it.
So we have the 2 equations:
tan 4 = h/x
tan 10 = h/(5 - x) where h is the height of the skyscraper
From the first equation:
h = x tan 4
Substituting in the second equation:
tan 10 = x tan 4 / (5 - x)
5 tan 10 - x tan 10 = x tan 4
x tan 10 + x tan 4 = 5 tan 10
x = 5 tan 10 / ( tan 10 + tan 4)
= 3.58 miles
h = 3.58 * tan 4
= 0.25 miles
= 1320 feet approx.
David must choose a number between 55 and 101 that is a multiple of 4, 8, and 12. Write all the numbers that he could choose. If there is more than one number, separate them with commas.
Answer:
72,96
Step-by-step explanation:
Multiple's of 4 starting above 50 to 101
52, 56, 60, 64, 68, 72, 76, 80,84,88,92,96,100
Multiple's of 8 starting above 50 to 101
56, 64, 72, 80, 88, 96,
Multiple's of 12 starting above 50 to 101
60, 72, 84, 96,
See which numbers are in all three lists
72,96
If this net were to be folded into a cube, which number would be opposite of the number 1?
Answer:
4
Step-by-step explanation:
When you fold it to make it a cube, the number opposite to 1 is 4
c)
Beth invests $2000 at a rate of 2% per year compound interest.
Calculate the minimum number of complete years it takes for the value
of Beth's investment to increase from $2000 to more than $2500.
Answer:
Step-by-step explanation:
We'll first find out how long it takes for the account to have 2500 in it, then we'll add a year (we'll check ourselves anyway, just to be sure!) This is an exponential growth problem of the form
[tex]A(t)=P(1+r)^t[/tex] since the compounding is only done once a year. Filling in:
[tex]2500=2000(1.02)^t[/tex] Begin by dividing both sides by 2000 to get
[tex]1.25=(1.02)^t[/tex] In order to get that t down from its current position in the equation, we will take the natural log of both sides. This allows us to pull the t down and put it out front like this:
ln(1.25) = t ln(1.02) Now divid both sides by ln(1.02) and you will see that
t = 11 years. At 11 years (rounded), the account will have
[tex]A(t)=2000(1.02)^{11}[/tex] = 2486.75 and after 12 years:
[tex]A(t)=2000(1.02)^{12[/tex] = 2536.48
t = 12 works!
The minimum number of complete years it would take the investment to increase to $2500 is 12 years.
Definition of compound interestCompound interest is when both the principal and the interest earned increases in value at the interest rate per period.
Formula for determining the number of yearsNumber of years = In(FV / PV) ÷ r
FV = future value PV = present value r = interest rate
In(2500 / 2000) ÷ 0.02
In (1.25) ÷ 0.02
= 11.2 years
= 12 years
To learn more about compound interest, please check: https://brainly.com/question/18760477
What is the inverse of the function f(x)=2x-10
Answer:
Last Option is correct
Step-by-step explanation:
[tex]f(x) = 2x - 10[/tex]
[tex]y=2x−10[/tex]
[tex]x=2y−10[/tex]
[tex]2y−10=x[/tex]
[tex]2y=x+10[/tex]
[tex]y = \frac{1}{2} x + 5[/tex]
[tex]h(x) = \frac{1}{2} x + 5[/tex]
Hope it is helpful...can someone help me figure this one out please?
Answer:
Linear equations
Step-by-step explanation:
An easy and simple equation. F(t) = -15t +300
please look on the pic Above
Answer:
x = 2
Step-by-step explanation:
If a line is parallel to a side of a triangle and it intersects the other 2 sides then it divides those sides proportionally, that is
[tex]\frac{6x+2}{x +5}[/tex] = [tex]\frac{24-8}{8}[/tex] = [tex]\frac{16}{8}[/tex] = 2 ( multiply both sides by x + 5 )
6x + 2 = 2(x + 5)
6x + 2 = 2x + 10 ( subtract 2x from both sides )
4x + 2 = 10 ( subtract 2 from both sides )
4x = 8 ( divide both sides by 4 )
x = 2
Describe how to transform (^5 sq root x^7)^3 into an expression with a rational exponent. Make sure you respond with complete sentences.
Answer:
[tex]x^{\frac{21}{5}}[/tex]
Step-by-step explanation:
[tex]5^{th} \ root \ of \ x^7 = (x^ 7)^{\frac{1}{5}}[/tex]
[tex]Using \ the \ rule : \sqrt[n]{x} =x^{\frac{1}{n}} \\\\(x^a)^b = x^{ab}[/tex]
[tex](x^7)^{\frac{1}{5}} = x^{\frac{7}{5}}[/tex]
[tex]( x^{\frac{7}{5}})^3 = x^{\frac{21}{5}}[/tex]
Find the center and raduis of the circle
Answer:
B
Step-by-step explanation:
Because the equation can be written in the form (x-p)^2+(y-q)^2. So it represents a circle with the radius r=3 and the center of (5,0).
Answer:
C
Step-by-step explanation:
The circle equation (x-a)²+(y-b)²=r² has a radius of r and a center of (a,b).
You can expand your equation from (x-5)²+y²=9 to (x-5)²+(y-0)²=3².
Using this information, you can see that a=5, b=0, and r=3.
Therefore the center is (5,0) and the radius is 3.
**This question involves circle equations, which you may want to revise. I'm always happy to help!
What is a cofunction? Give examples and explain the purpose.
Select the correct answer.
In the diagram, C and D are located such that is divided into three equal parts. What are the coordinates of C and D?
A.
C(1, 3), D(3, 1)
B.
C(-3, 0), D(3, -6)
C.
C(0, 3), D(3, 0)
D.
C(-1.5, 3), D(1.5, 0)
Answer:
C.
C(0, 3), D(3, 0)
Step-by-step explanation:
I just finished the tutorial and the quiz, this is your answer. I hope this helps!
Pls help math coordinates of pt P
Answer:
( 3, - 2 )
Step-by-step explanation:
p is located at below 3
Why do we organize the world using latitude and longitude? In two to three sentences, explain how latitude aSaleem wants to create a table of ratios that are equivalent to 2
3
. He includes the ratios 4
5
and 5
6
.
Are these ratios equivalent to 2
3
? Explain your reasoning and longitude help us.
Answer:
The Earth is divided into degrees of longitude and latitude which helps us measure location and time using a single standard. Longitude and latitude lines measure the distance from the Earth's Equator or central axis - running east to west - and the Prime Meridian in Greenwich, England - running north to south.
No, the ratios are not equivalent to 2/3. To create an equivalent ratio, you need to multiply both numbers in the original ratio by the same number.
hope that helps<3
is how many dogs do I have? a statistical question
Tomas bikes 3 3/4 miles each morning and 2 1/2 miles each afternoon
Answer:
6 1/4
Step-by-step explanation:
1/2 = 2/4
2/4 + 3/4 = 5/4 which is 1 1/4 simplified.
Then add the whole numbers, 2 + 3 = 5
5 + 1 1/4 = 6 1/4
Tomas rides 6 1/4 miles everyday.
The slope of a line is -1/3 Find the slope of a line that is perpendicular to this line.
-3
3
1/3
Answer:
3
Step-by-step explanation:
To find the slope of a line perpendicular to a like with a gradient of -1/3, you do the negative reciprocal of -1/3 which would be 3/1 or 3.
Answer:
3
Step-by-step explanation:
let, m = -1/3
and, m1 = x
m * m1 = -1
m1 = -1/-1/3
m1 = 3......
Please help me I will give you 16 points I don’t know what that do but I will
Answer:
40
Step-by-step explanation:
The serving sizes, [tex]x[/tex], of 20, 80, and 120 have a required amount of meat in pounds, [tex]y[/tex], of [tex]y=\frac{1}{10}x[/tex] (the number of pounds of meat is equal to 1/10th the serving size)
However, for the row with a serving size of 40, the number of pounds of meat is equal to [tex]\frac{6}{40}=\frac{3}{20}[/tex] the serving size. Therefore, the serving size of 40 has a different ratio of serving size to pounds of meat than the other ratios.
With your bare feet, stand with one foot on a rug, and the other foot on a tile, linoleum, or wood floor. Which one feels colder? Which one is really colder? Explain what is going on in a paragraph
Answer:
The tile feels colder because it's a heat conductor and moves heat rapidly away from your skin which is much warmer than the air temperature. The rug is a heat insulator. The rug slows down the flow of the heat which makes it feel warmer.
Step-by-step explanation:
hey what the answer
[tex] {x}^{2} - 4( {y}^{2} - x - 1)[/tex]
Cara has another candle that is 15 cm tall. How fast must it burn in order to also be 6 cm tall after 4 hours?
Answer:
It has to burn at a rate of 2.25 cm per hour.
Step-by-step explanation:
What’s the answer pls help
Answer:
m= - 3/2
c=1/2
Step-by-step explanation:
y=mx+c (formula for finding slope)
y= -3x/2+1/2
m= - 3/2
c=1/2
（4tan30°)(5sin60°)-6cos60°
Answer:
7
Step-by-step explanation:
Using exact values
(4tan30°)(5sin60°) - 6cos60°
= 20tan30°sin60° - 6cos60°
= 20 × [tex]\frac{1}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{2}[/tex] - 6 × [tex]\frac{1}{2}[/tex]
= [tex]\frac{20}{2}[/tex] - 3
= 10 - 3
= 7
Answer:
6.804
Step-by-step explanation:
Given data:
（4tan30°)(5sin60°)-6cos60°
Now it can be calculated as:
4(0.57)×5(0.86)-6(0.5)
2.28×4.3-3
9.804-3
6.804
Answer will be 6.804
