Answer:x=3
Step-by-step explanation:
4x+3=x+9
4x-x=(-3)+9
3x=6
x=6:3
x=2
The graph shows how many sheets of paper a paper folding machine can fold in a certain number of minutes. Choose one ordered pair on the graph. What does it represent in this situation?
Answer:
(40, 6000) = 6000 sheets folded in 40 minutes
Step-by-step explanation:
Each point on the graph represents ...
(minutes, sheets folded)
The point (40, 6000) represents that the machine can produce 6000 sheets folded in 40 minutes.
Statement 1: If √12 - √8 = a, then √12 + √8 is equal to 4/a.
Statement 2: a + √b is called the rationalizing factor of c + √d if their product is 1.
• Statement 1 is true; Statement 2 is true; Statement 2 is the correct explanation of Statement 1.
• Statement 1 is true; Statement 2 is true; 2 is not the correct explanation of Statement 1.
• Statement 1 is true; Statement 2 is false.
• Statement 1 is false; Statement 2 is true.
It is an assertion-reasoning question. Please help me to solve this. Need step-by-step explanation as well. Thank you.
Answer:
Statement 1 is true; Statement 2 is false.
Step-by-step explanation:
Statement 1:
√12 - √8 = a
Let's use the given value of √12 + √8 ,that is, 4/ a.
If we multiply both the expressions such that their Left Hand Sides get multiplies together and Right Hand Sides together:
=> (√12- √8)(√12 + √8) = a × 4/a
On the LHS,
identity used:
(a-b)(a+b) = a²-b²
On the RHS:
a gets canceled due to its presence in both the numerator as well as the denominator.
=> 12 - 8 = 4
=> 4 = 4
That's it!
We got LHS = RHS, that approves the existence of the given statement.
___________________
Statement 2:
"a + √b is called the rationalizing factor of c + √d if their product is 1"
That's not entirely right!
The correct statement would be:
" a + √b is called the rationalizing factor of c + √d if their product is a rational number ."
Since, rationalizing has got nothing to do with 1, (1 is just another rational number), even if we get 2 by their multiplication, it will be called rationalizing as long as we're getting a rational number.
___________________
Answer:
Hence, I'd say:
Statement 1 is correct but Statement 2 isn't.
That's the third option.
Can someone please help me with this easy math problem?
Simplify the radical expression. Select all that apply. (There are two answers I believe) √−36
a. 6
b. -6i
c. 6i
d. -i√6
please dont send links, i will give you brainliest
Five times the difference of a number and 8 is 19.
Subtract
-
Iw +
W + 4 from įw + 3
1w -
- 1
- 1w + 1
1w7
w + 7
- 1w + 7
aro
Answer:
what grade are u in so I know
If 3 cans of beans cost 90¢, how many can you buy for $2.70?
If you can buy 10 juice packs for $3.00, how much will you spend to buy 4 juice packs?
please answer asap
Answer:
Step-by-step explanation:
1. 3 cans cost 90 cents
3=0.90 & x=2.7
by ratio:
3/0.9 = x/2.7
0.9x=8.1
x= 9
So you can buy 9 cans for 2.7 dollars
2. 10 Juice cost 3 dollars
by ratio:
10/3 = 4/x
10x=12
x=1.2
so you will spend 1.2 dollars to buy 4 juice packs
At a restaurant, the amount of your bill before taxes and tip is $19.83. A 6% sales tax is applied to your bill, and you leave a tip equal to 19% of the original amount. Use mental math to estimate the total amount of money you pay to the nearest dollar.
Answer:
First, round $19.83 to make the mental math easier. Then round the tip as well. Then you can easily multiply the two rounded numbers to find the value.
Step-by-step explanation:
In a recent year, 21% of all college students were enrolled part-time. If 7.6 million college students were enrolled part-time that year, what was the total number of college students?
Answer:
36.19047619 million
or 36,190,476 students
Step-by-step explanation:
7.6 million / all students = 21% / 100%
7.6 * 100 / 21 = 36.19047619
36.19047619 million
or 36,190,476 students
Brainliest reward need brief working out
Answer:
1. 125 cm³; 88.8 cm³; 1650 cm³; 0.11 m³
2. about 1.47 kg
3. can't tell what the volume of 1 jar is
Step-by-step explanation:
The relationship between volume, mass, and density is ...
mass = volume × density
Solving for volume, we find ...
volume = mass ÷ density
__
(a) 50 g/(0.4 g/cm³) = 125 cm³
(b) 770 g/(8.67 g/cm³) ≈ 88.8 cm³ . . . (rounded to 3 significant figures)
(c) 4000 g/(2.42 g/cm³) ≈ 1650 cm³ . . . (rounded to 3 significant figures)
(d) 80 kg/(720 kg/m³) ≈ 0.11 m³ . . . (rounded to 2 significant figures)
_____
The volume of the cylinder is ...
V = πr²h
V = π(4 cm)²(15 cm) = 240π cm³ ≈ 754.0 cm³
Using the above relation, we find the mass to be ...
mass = (754.0 cm³)(1.95 g/cm³) ≈ 1470 g = 1.47 kg
_____
We cannot tell if the volume of each jar is 360 liters, or if that is the total volume of all 6 jars. Either way, we suspect a units problem, as the jars would have to be extremely large and unusually thin relative to what we usually think of as a jar for jam (0.77 m diameter; 0.2 mm thick). The density of the jam would be roughly 10 times the density of air, if that is the volume of all 6 jars. The problem would be more sensible if the units of volume were mm³, and the given volume is that of one jar.
The mass of jam in one jar is (5400/6 -200) = 700 g. Divide that by what you think the volume of one jar is in cm³ to find the density in g/cm³. (For comparison, the density of air is about 0.0012 g/cm³.)
_____
Additional comment
We have rounded the answers to 2 or 3 significant figures. In most cases, this is more than would be justified by the number of significant figures in the given measurements. For purposes of ongoing calculations, it is useful to keep intermediate results to at least 1 more significant figure than required for the answer.
YO ANYONE WHO IS REALLY GOOD AT MATH THAT COULD HELP ME ?
Im good at math, what do you need help with?
What +1/16 = 3/2 answer please
Answer:
1 7/16
Step-by-step explanation:
Isolate f variable! Solve the equation algebraically! Show work!!
42 = 6f
Answer:
f=7
Step-by-step explanation:
42=6f
/6 /6
42/6=7
You divide 6 from 42, which leaves you with 7=f.
How to find a and b in the equation below.
3(a+b)=28
Answer:
a equals and b equals 7
Step-by-step explanation
divide both side by 3 getting a+b=(28/3)
subtract b from both sides getting a=(28/3)-b
to solve for b its the same way so b=(28/3)-a
you can then substitute
PLEASE HELP URGENTLY!!
The sum of three numbers is 96 . The second number is 3 times the third. The third number is 9 more than the first. What are the numbers?
Answer:
12, 63 and 21 sum to 96
.....
What expression is equivalent too 3(-6h - 4) + 5h?
Answer:
-13h - 12
Step-by-step explanation:
3(-6h - 4) + 5h
-18h - 12 + 5h
-13h - 12
hope this helps! :D
have a miraculous day, and brainliest is immensely appreciated!! <3
1 A recipe uses 1 - cups of milk to make 10 servings. If the same amount of milk is used each serving, how many servings can be made using 1 gallon of milk? Show your work
Answer:
160 servings
Step-by-step explanation:
Step One:
1 gallon=16 cups
1 cup=10 servings
Step Two:
Multiply 16 by 10
which gives you your answer 160
Use the line of best fit to estimate the French score for a student who got 65 in maths.
Using a linear function, it is found that the estimated French score is of 38.1875.
A linear function has the following format:
[tex]y = mx + b[/tex]
In which:
m is the slope.b is the y-intercept.Searching the problem on the internet, it is found that two points of the line of best-fit are: (10,65) and (90,26).
The slope is given by change in the output divided by the change in the input, hence:
[tex]m = \frac{26 - 65}{90 - 10} = -0.4875[/tex]
Then:
[tex]y = -0.4875x + b[/tex]
Point (10,65) means that when [tex]x = 10, y = 65[/tex], and this is used to find b.
[tex]y = -0.4875x + b[/tex]
[tex]65 = -0.4875(10) + b[/tex]
[tex]b = 69.875[/tex]
Hence:
[tex]y = -0.4875x + 69.875[/tex]
For a student who got 65 in math, x = 65, and hence:
[tex]y = -0.4875(65) + 69.875 = 38.1875[/tex]
The estimated French score is of 38.1875.
For more on linear functions, you can check https://brainly.com/question/16302622
= 82.2×3.6 Show your working out
The pentagons ABCDE and JKLMN are similar find the length x of JK
Answer:
x = 8
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are in proportion , that is
[tex]\frac{JK}{AB}[/tex] = [tex]\frac{KL}{BC}[/tex] , substitute values
[tex]\frac{x}{4}[/tex] = [tex]\frac{6}{3}[/tex] = 2 ( multiply both sides by 4 to clear the fraction )
x = 8
ALGEBRA
GIVE THE EXPRSSION FOLLOWING CASE
1. Y IS MULTIPLIED BY -8 AND THEN 5 IS ADDED TO THE RESULT
x² + 3x + k = 0
pls help
Answer:
[tex]\left(h,\:k\right)=\left(-\frac{3}{2},\:\frac{9}{4}\right),\:p=-\frac{1}{4}[/tex]
Step-by-step explanation:
[tex]x^2+3x+y=0[/tex]
[tex]4\left\bigg(-\frac{1}{4}\right)\left\bigg(y-\frac{9}{4}\right)=\left\bigg(x-\left\bigg(-\frac{3}{2}\right)\right)^2[/tex]
[tex]\bold{\mathrm{Therefore\:parabola\:properties\:are:}}[/tex]
[tex]\left(h,\:k\right)=\left(-\frac{3}{2},\:\frac{9}{4}\right),\:p=-\frac{1}{4}[/tex]
What should you do to both sides of the inequality in order to solve x + (-2) > 3?
A) Subtract 3
B) Subtract 2
C) Add 3
D) Add 2
x+(-2) >3
open the bracket
x-2>3
collect the like terms by taking 2 to the other side
x>3+2
x>6
Simplify completely
x2 + 12x +35
3x + 15
[tex]x^2+12x+35\\\\=x^2 +5x +7x +35\\\\=x(x+5) +7(x+5)\\\\=(x+7)(x+5)\\\\\\3x+15 = 3(x+5)[/tex]
Please solve this math problem... I will mark you brainliest if it’s the correct answer
Answer:
1712 square meters
Step-by-step explanation:
2000 - 288 = 1712
4.Cost of 10 book is ₹800.What is the cost of 50 such books
Answer:
₹4000
Step-by-step explanation:
₹800/10 books
₹80/1 book
(₹80/1 book)*(50) = ₹4000
Holly has a credit limit of $2,500 on her credit card. She had a previous balance of $103.23
and made a $100 payment. The total of her purchases is $45.34. What is her available
credit?
Step-by-step explanation:
$103.23
$100
$45.34
+_____
=248.57
Maths Question:
Transformations
Step-by-step explanation:
I don't know what is the answer I can explain it
Answer:
(-2, 2) (-4, 2) (-4, 5)
Step-by-step explanation:
The coordinate for A are (2, 2) (4, 2) and (4, 5).
When you reflect across the x=axis the y coordinates become negative.
(2, -2) (4, -2) (4, -5)
y = x is a diagonal line through the origin, and all of the points change signs.
(-2, 2) (-4, 2) (-4, 5)
Plot the 3 points for the triangle.
regular price: $225.75
Precent of discount: 30%
Answer:
$156.63
Step-by-step explanation:
223.75 - (223.75 x .3) = 156.625
) f) 1 + cot²a = cosec²a
Answer:
It is an identity, proved below.
Step-by-step explanation:
I assume you want to prove the identity. There are several ways to prove the identity but here I will prove using one of method.
First, we have to know what cot and cosec are. They both are the reciprocal of sin (cosec) and tan (cot).
[tex]\displaystyle \large{\cot x=\frac{1}{\tan x}}\\\displaystyle \large{\csc x=\frac{1}{\sin x}}[/tex]
csc is mostly written which is cosec, first we have to write in 1/tan and 1/sin form.
[tex]\displaystyle \large{1+(\frac{1}{\tan x})^2=(\frac{1}{\sin x})^2}\\\displaystyle \large{1+\frac{1}{\tan^2x}=\frac{1}{\sin^2x}}[/tex]
Another identity is:
[tex]\displaystyle \large{\tan x=\frac{\sin x}{\cos x}}[/tex]
Therefore:
[tex]\displaystyle \large{1+\frac{1}{(\frac{\sin x}{\cos x})^2}=\frac{1}{\sin^2x}}\\\displaystyle \large{1+\frac{1}{\frac{\sin^2x}{\cos^2x}}=\frac{1}{\sin^2x}}\\\displaystyle \large{1+\frac{\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}}[/tex]
Now this is easier to prove because of same denominator, next step is to multiply 1 by sin^2x with denominator and numerator.
[tex]\displaystyle \large{\frac{\sin^2x}{\sin^2x}+\frac{\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}}\\\displaystyle \large{\frac{\sin^2x+\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}[/tex]
Another identity:
[tex]\displaystyle \large{\sin^2x+\cos^2x=1}[/tex]
Therefore:
[tex]\displaystyle \large{\frac{\sin^2x+\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}\longrightarrow \boxed{ \frac{1}{\sin^2x}={\frac{1}{\sin^2x}}}[/tex]
Hence proved, this is proof by using identity helping to find the specific identity.