Step-by-step explanation:
11/12-?=2/3
11/12-2/3=?
11-8/12=?
3/12
=1/4
Answer:
? = 1/4
Step-by-step explanation:
11 / 12 - ? = 2 / 3
move constant at Right hand side and change its sign.- ? = 2/3 - 11/12
subtract the fractions- ? = - 1/4
change the sign of both side of equation? = 1/4
4 oranges at Juicy Deals grocery store cost $6. For the price of $15 you can buy 10 oranges. True or false: The relationship
between the number of oranges and their price is proportional.
Answer:
the answer is true.
4/6
10/15
Write the quadratic equation in standard form:
-7x+4=x^2
Answer:
x² + 7x - 4 = 0
Step-by-step explanation:
A quadratic equation in standard form is
ax² + bx + c = 0 ( a ≠ 0 )
Given
- 7x + 4 = x² ( subtract - 7x + 4 from both sides )
0 = x² + 7x - 4 , that is
x² + 7x - 4 = 0 ← in standard form
m<6 = 57°, what is m<4?
Answer:
Just guest: 38
Step-by-step explanation:
6÷4 = 1,5
So to make 6 to 4 we have: 6÷1,5 = 4
Similar to x: 57÷1,5 = 38
Find the value of p3- q3, if p-q = -7 and pq= -10
===================================================
Work Shown:
p-q = -7
(p-q)^2 = (-7)^2
p^2-2pq+q^2 = 49
p^2-2(-10)+q^2 = 49
p^2+20+q^2 = 49
p^2+q^2 = 49-20
p^2+q^2 = 29
By the difference of cubes formula, we can say,
p^3 - q^3 = (p-q)*(p^2+pq+q^2)
p^3 - q^3 = (p-q)*(p^2+q^2+pq)
p^3 - q^3 = (-7)*(29-10)
p^3 - q^3 = -133
--------------
Here's another way to solve:
p-q = -7
p = q-7
pq = -10
(q-7)*q = -10
q^2-7q = -10
q^2-7q+10 = 0
(q-5)(q-2) = 0
q-5 = 0 or q-2 = 0
q = 5 or q = 2
If q = 5, then p = q-7 = 5-7 = -2
If q = 2, then p = q-7 = 2-7 = -5
We can see that no matter what we pick for q, we'll get p*q = -10
Also, you should find that p^3-q^3 is equal to -133 for either case as well.
What is the solution of sqareroot 1-3x = X+3?
Answer:
x=-8 or x=-1 (first option)
Step-by-step explanation:
[tex]\sqrt{1-3x}=x+3\\1-3x=(x+3)^{2} \\[/tex]
now expand the bracket on the right
[tex]1-3x=x^{2} +6x+9\\simplify:\\1-9=x^2+6x+3x\\-8=x^2+9x\\[/tex]
now make it a quadratic equation:
[tex]x^2+9x+8=0\\factorise:\\(x+1)(x+8)\\so:\\x+1=0 \\x=-1\\\\and \\x+8=0\\x=-8[/tex]
The rules of a game allow a team to score either 2 points or 5 points, depending on the nature of the scoring play. If the final score between two teams was 34 to 29, and there were 18 scoring plays altogether, how many 5-point plays were there?
Answer:
9
Step-by-step explanation:
Given that :
Total Number of scorings (both Teams) = 18
Let :
x = number of 5 point score ; y = number of 2 point score
Total points scored = 34 + 29 = 63
x + y = 18 - - - (1)
5x + 2y = 63 - - (2)
From (1)
y = 18 - x
In (2) ; we have ;
5x + 2(18 - x) = 63
5x + 36 - 2x = 63
3x + 36 = 63
3x = 63 - 36
3x = 27
x = 9
9 5-point plays
Answer:
9
Step-by-step explanation:
A car is traveling at a rate of 48 miles per hour. What is the car's rate in miles per minute? How many miles will the car travel in 2 minutes? Do not round your answers.
Answer:
0.8 Miles per minute. 1.6 miles in 2 minutes
Step-by-step explanation:
It says 48 miles for 60 minutes. But we only want one minute, so we can divide 60 to get 1 and divide 48 by 60 to get 0.8 for 1 minute.
For the second question you want 2 munutes so you multily this rate by 2 (0.8*2) to get 1.6 miles.
Hope this helps
:)
Brette got a new phone! The length of her old rectangular phone screen was 44 centimeters. Her new rectangular phone screen is twice as long as the old screen. How much larger is the area of the new screen than the area of the old screen?
Answer:
2 times larger
Step-by-step explanation:
Area of a rectangle = length x width
assume width = 10
older area = 44 x 10 = 440
new area
length = 44 x 2 = 88
88 x 10 = 880
change in area = 880 / 440 = 2
A= pi2 and find the area of a circle with radius 5 cm. Use pi = 3.14
Answer:
78.5398163397
Step-by-step explanation:
5x5= 25xpi=78.5398163397
a person normally cost 1195 is on sale for 15% off if you only have a $10 bill do you have enough to purchase the book
Answer:
no
Step-by-step explanation:
First determine the discount
11.95 * 15%
11.95 *.15
1.79
Subtract the discount
11.95-1.79
10.16
You do not have enough money with a 10 dollar bill
No files just type in please and thank you
Tables--> 2
Each table--> (4*2) 8 boxes
Each box--> (8*6) 48 crayons
On each table--> 48/2
= 24 crayons on each table.
mark me brainliestttt :)))
Find the standard deviation of the data set shown. Round your answer to the nearest tenth.
4,5,9,1,2,5
The standard deviation is about_________
Mark Brainliest Please
Answer:
Answer is gicen in the image attached.
Step-by-step explanation:
Standard deviation (SD) measured the volatility or variability across a set of data. It is the measure of the spread of numbers in a data set from its mean value and can be represented using the sigma symbol (σ). The following algorithmic calculation tool makes it easy to quickly discover the mean, variance & SD of a data set.
For more help check Khan academy video
https://www.khanacademy.org/math/statistics-probability/displaying-describing-data/sample-standard-deviation/v/sample-standard-deviation-and-bias
Answer:
2.6
Step-by-step explanation:
To calculate standard deviation:
(1) Find the mean - 4.33
4 + 5 + 9 + 1 + 2 + 5 = 26 26 / 6 = 4.333... ≈ 4.33
(2) Subtract the mean from each value and square each result
[tex](4 - 4.33)^2 = 0.1089[/tex] [tex](5 - 4.33)^2 = 0.4489[/tex] [tex](9 - 4.33)^2 = 21.8089[/tex]
[tex](1 - 4.33)^2 = 11.0889[/tex] [tex](2 - 4.33)^2 = 5.4289[/tex] [tex](5 - 4.33)^2 = 0.4489[/tex]
(3) Find a new mean with the new values from the previous step
0.1089 + 0.4489 + 21.8089 + 11.0889 + 5.4289 + 0.4489 = 39.3334
39.3334 / 6 = 6.555566667
(4) Take the square root of the new mean.
[tex]\sqrt[]{x6.555566667} =2.560384086[/tex]
2.560384086 rounded to the nearest tenth is: 2.6
A car depreciates in value over time. The following formula represents the value of the car after years. How many years will it take for the car to be worth less than15000 ?
Answer:
no nearve
Step-by-step explanation:
. Which cubic unit of measure is appropriate to be used in measuring the volume of a medicine box? *
Answer:
Cubic meters
Step-by-step explanation:
The volume of medicine box is usually measure in cubic meters.
However, the volume of medicine in it is usually measured in milliliters.
For example
Infusions - 1 ton of packed supplies = 2.2 cubic meters
Dressings - 1 ton of packed supplies = 9 cubic meters etc.
I can't figure out the answer
Answer:
39
Step-by-step explanation:
y=arctan(0.8)=38.65=39
Which expression is equivalent to the given expression? -2x +8x -9 +4x +7x2 +2 A. B. C. D.
Answer:
The answer is "[tex]7x^2 +10x -7[/tex]"
Step-by-step explanation:
Let the given value is:
[tex]\to \bold{-2x +8x -9 +4x +7x^2 +2}\\\\[/tex]
Solving the given value:
[tex]\to7x^2 -2x +8x +4x-9 +2\\\\\to7x^2 +10x -7\\\\\to7x^2 +10x -7\\\\[/tex]
Help pleaseeeeeeeeeeeeeeeeeeeeee
Answer:
-6Step-by-step explanation:
Given Question,
2x - 7
Given Value:
[tex]x = \frac{1}{2} [/tex]
Solution,
[tex]2( \frac{1}{2} ) - 7[/tex]
[tex] = 2 \times \frac{1}{2} - 7[/tex]
= 1 - 7
= - 6 (Ans)
What is the area of a rectangle with a length of x + 5
and a width of 4?
Answer:
[tex]area = (length \times width) \\ = (x + 5) \times 4 \\ = (4x + 20) \: square \: units[/tex]
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out the maximum amount of profit the company can make, to the nearest dollar. y=-2x^2+105x-859 y=−2x 2 +105x−859
Answer:
$519
Step-by-step explanation:
Given the amount of profit made expressed as y=-2x^2+105x-859
At maximum profit, dy/dx = 0
dy/dx = -4x + 105
0 = -4x + 105
4x = 105
x = 105/4
x = 26.25
Substitute into the original function
y=-2x^2+105x-859
y=-2(26.25)^2+105(26.25)-859
y = - 1,378.125+2,756.25-859
y = 519.125
Hence the maximum amount of profit the company can make is $519
Answer:
519
Step-by-step explanation:
just took the question
SOMEOM PLEASE GELP ME
Answer:
You need to post the angle too
Step-by-step explanation:
HURRY I NEED HELP!!!!!
State the number of complex roots and the possible number of real and imaginary roots for each equation. Then find all roots, be sure to show all work!
(equations are in the image below)
Answer:
Both have 4 imaginary rootsStep-by-step explanation:
1)
(x^2 + 9)(x^2 + 6) = 01.
x^2 + 9 = 0x^2 = - 9x = ± √-9x = ± 3i2.
x^2 + 6 = 0x^2 = -6x = ±√-6x = ± i√6It has 4 imaginary roots and no real roots
2)
(x^2 + 7)(x^2 + 5) = 01.
x^2 + 7 = 0x^2 = -7x = ± √7x = ± i√72.
x^2 + 5 = 0x^2 = - 5x = ± √-5x = ± i√5It has 4 imaginary roots and no real roots
#1
(x²+9)(x²+6)=0First
x²=-9x=±3isecond
x²=-6x=±√6i4complex roots
#2
(x²+7)(x²+5)=0first
x²=-7x=±√7iSecond
x²=-5x=±√5i4 complex roots
i need help with this question somebody please help !
Answer:
15
Step-by-step explanation:
f(x)=2x^2-3x+1
f(-2)=2*(-2)^2 -(3*-2)+1
=2*4-(-6)+1
=8+6+1
=15
f(-2)= 15
OPTION C is the correct answer
Solve a / a-1 - a+5/a =0. Enter your solution as an improper fraction or as a decimal rounded to the nearest hundredth
Answer: [tex]1\dfrac{1}{4}[/tex]
Step-by-step explanation:
Given
The equation in terms of a is
[tex]\Rightarrow \dfrac{a}{a-1}-\dfrac{a+5}{a}=0\\\\\Rightarrow \dfrac{a}{a-1}=\dfrac{a+5}{a}\\\\\Rightarrow a^2=(a-1)(a+5)\\\\\Rightarrow a^2=a^2+4a-5\\\\ \Rightarrow 4a=5\\\\\Rightarrow a=\dfrac{5}{4}\ \text{or}\ 1\dfrac{1}{4}[/tex]
A point on the ocean floor is 7,842 m below sea level.
Express this elevation as an integer.
The elevation as an integer is □m
Answer:
-7842 meters
Step-by-step explanation:
Since the point is below sea level, it is negative
-7842 meters
The function f(x)=300x/x^2+200 represents the monthly sales in hundreds of cds x months after the cd was released. Each statement interpretes a key feature of the function based on the table. Which statement is an interpretation of the end behavior
Find the value of LM and LN if M is between L and N.
LM = 7x + 4, MN = 20, LN = 10x
Answer:
LM = 20
LN = 160/7
Step-by-step explanation:
If M is between L and N, then LM = MN
Given
LM = 7x + 4, MN = 20, LN = 10x
7x+4 = 20
7x = 20 - 4
7x = 16
x = 16/7
LM = 16/7(7) + 4
LM = 16 + 4
LM = 20
LN = 10x
LN = 10(16/7)
LN = 160/7
Use the rule y= -x + 7 to fill in the blank.
if (1,y) is on the graph then y =
Answer:
Then y = 6
Step-by-step explanation:
y = -x + 7
x = 1
y = -1 + 7
= 6
(x-1)²-(x-1)
Can anyone help me with factorising this
Answer:
(x - 1)(x - 2)
Step-by-step explanation:
Given
(x - 1)² - (x - 1) ← factor out (x - 1) from each term
= (x - 1)(x - 1 - 1)
= (x - 1)(x - 2)
Classify the following triangle. Check all that apply.
A. Isosceles
. B. Equilateral
C. Scalene
E D. Acute
E. Right
E F. Obtuse
Answer:
Options A and E
Step-by-step explanation:
Isosceles triangle → Two sides and opposite angles of the equal sides will be equal
In the given triangle measure of all sides are different.
Therefore, it's not an isosceles triangle.
Equilateral triangle → All sides and opposite angles are equal.
Given triangle is not an equilateral triangle.
Scalene triangle → All sides and angles are different in measure.
It's an scalene triangle.
Since, one angle of the triangle is a right triangle, it's a right triangle.
Option A and E are the correct options.
please help!! i’ll give you brainliest
Answer:
4
Step-by-step explanation:
Answer:
m = 5
Step-by-step explanation:
to one side length of 4 to 2, we divided by 2 so why not divide 10 by 2
10 ÷ 2 = 5
Please give me brainliest!
