Answer:
True. Brainlyest plz
EXERCISE 2.1
(a)
1.
An agent sells some articles for Rs 5,500. What commission does he get at 5%?
Answer:
250
Step-by-step explanation:
5000×5/100 =250
why because you times it for commission because it what you gain
Given a geometric sequence with a1 = 3 and a4 = 24, find a2.
Answer: 6
Step-by-step explanation:
ax/ay=r^(x-y)
in this case it will be
a4/a1=r^(4-1)
24/3=r^3
8=r^3
r=2
----------------------------------
an=a1×r^(n-1) ⇔ geometric sequence formula
a2=3×2^(2-1)
a2=3×2^1
a2=3×2
a2=6
PLEASE HELP....Alex bought new jeans. She paid $43.20 at the cash register, which included 8% sales tax. What's the cost of the jeans before tax?
Answer:
39.75
Step-by-step explanation:
take the total cost multiply it by 1.08 then subtract that from the final cost hope it helps
Answer:
$39.75
Step-by-step explanation:
Step 1: multiply 43.20x.08=3.45
Step 2: subtract 43.20-3.45=39.75
All done!
Translate to an algebraic expression: 3 times the difference of a number and 4 is 33
Answer:
3 x (14-3) = 33
Step-by-step explanation:
The algebraic expression will be : 3(x - 4) = 33
Given,
3 times the difference of a number and 4 is 33
Now,
Let the number be x .
So,
Three times the difference of x and 4 will be 33 .
So,
First subtract x-4
Then thrice of this is 33
So,
3(x - 4) = 33
Thus the algebraic expression is 3(x - 4) = 33 .
After solving the expression:
x- 4 = 11
x = 15
Know more about algebra,
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convert 6.2 gallons to liters pleaseee explain
Answer:
23.4696 liters
Step-by-step explanation:
Factorise the following expression using grouping and use binomial products to simplify.
11x - 55 - 5a + ax
Answer:
11x-55-5a+ax
11(x-5)+a(x-5)
(11+a)(x-5)
Step-by-step explanation:
First you factor out the common factors
for(11x-55) is would be 11 as both of these figures are the multiple of 11
for(ax-5a) the common factor is a which will be factor out
Then after doing the process you will get
11(x-5)+a(x-5)
then factor out(x-5)which will give you
(11+a)(x-5)
Answer:
Answer is below. I have grouped it.
Step-by-step explanation:
=(11x-55) + (-5a+ax)
=11 ( x - 5) +a ( -5+x)
= 11(x-5)+a(x-5)
(11+a)(x-5)
(x-5)(11+a)
a.
Write this expression 5x5x5x5 using
exponent.
Answer:
5^4
Step-by-step explanation:
i cant really explain except a power means you time that number that many times so so 5 to the 4th power
Answer:
[tex]5^4\\[/tex]
Step-by-step explanation:
Recall that exponents are a convention used to simplify the writing of expressions that involve the multiplication of a repeated factor by using as the base of the exponent the factor that is multiplied, and for the exponent the number of times the actor appears:
[tex]a\,*\,a\,*\,a\,*\,a=a^4[/tex]
so in your case, the base (repeated factor) is 5, and the exponent (number of appearances of the factor 5 is 4:
[tex]5*5*5*5=5^4[/tex]
Does anyone know this
Answer:
Domain: (-11, 4)
Step-by-step explanation:
Domain is the set of all x-values that can be inputted into a function.
So we look at x-values that can be inserted into the graph.
We notice that we cannot input x = -11 or x = 4 as it is open-pointed but everything inbetween works, so we have (-11, 4) as our domain.
Which expression is equivalent to –2(5x – 0.75)?
10x – 0.75
10x + 0.75
–10x – 1.5
–10x + 1.5
Answer:
-10x+1.5
Step-by-step explanation:
-2(5x-0.75).... distributive property
-10x+1.5
Note:
-&-=+
+&+=+
+&-=-
-&+=-
Hope this helps ;) ❤❤❤
Answer:
d
Step-by-step explanation:
in a triangle PQR,if angle P is equal to 60 and angle Q is equal to 40 degree what the value of exterior angle formed by producing QR
==================================================
Explanation:
See the diagram below.
We start with triangle PQR with the given angles mentioned. Then you extend out segment QR to form line QR. It goes off infinitely in both directions.
The exterior angle x adds to the interior angle Q = 40 to get 180
x+40 = 180
x+40-40 = 180-40 ... subtract 40 from both sides
x = 140
The exterior angle is 140 degrees
Use the percent proportion to solve for X. 16 is 32% of x. Find the value of 1.
Answer:
I dont get the question, is there suposed to be a chart?
Step-by-step explanation:
A right triangle has a perimeter of 24 cm and a hypotenuse of 10 cm. Find the length of the other two sides.
Answer:
One of the sides is 6 cm and the other is 8 cm
Step-by-step explanation:
Let's call the unknown sides a and b. From the perimeter information (24 cm) we have:
a + b + hypotenuse = 24
a + b + 10 = 24
a + b = 14
b = 14 - a
So now we can right the Pythagorean theorem as follows:
[tex]a^2 + b^2 = hypotenuse^2\\a^2 + (14-a)^2=10^2\\a^2+ 14^2-28\,a+a^2=100\\2\,a^2-28\,a +96=0\\2\,(a^2-14\,a+48)=0\\2\,(a^2-6\,a-8\,a+48)=0\\2(a\,(a-6)-8\,(a-6))=0\\2\,(a-6)\,(a-8)=0[/tex]
and from this expression in factor form to be zero a must be 6 or a must be 8.
Therefore the solutions are a = 6 (and therefore b = 14 - 6 = 8)
or a = 8 (and therefore b = 14 - 8 = 6)
Perimeter of triangle = Sum of all sides.
One side of triangle = 10 cm
Measure of other two sides will be → 24-10
Other two sides sum will be = 14 cm
Let's assume one side as x and other as 14-x
Now hypotenuse is of 10 cm
According to Pythagorean theoram
Hypotenuse² = Perpendicular ² + base²
→ 10² = (x)² + (14-x)²
→ 100 = x² + (14-x)²
(a-b)² = a²+b² -2ab
→ 100 = x² + 196 + x² -28 x
→ 100 = 2x² + 196 - 28x
Taking 2 commen both sides
→ 50 = x² -14x + 98
→ 0 = x² -14x +98-50
→ x² -14 x +48 = 0
Factorising :-
→ x² - 6x - 8x + 48 = 0
→ x( x -6) -8(x -6) = 0
→ (x-6)(x-8) = 0
→ x = 6 or x = 8
So x is 6 or 8
Other two sides of triangle are 6 cm and 8 cm
Natalia bought 8 glitter wands for $50. Determine whether or not each wand purchase below has the same price per wand as glitter wands.
Answer:
Sparkle wands: NO
Fairy wands: YES
Glass wands: NO
Step-by-step explanation:
To find the price per glitter wand, you have to divide the price of the wands by the amount of wands you have.
$50/8 = $6.25
Divide the price of the wands by the amount you get.
Sparkle wands: $20/4 = $5
Fairy wands: $37.50/6 = $6.25
Glass wands: $65/10 = $6.50
The sparkle wands and the glass wands do not have the same price per wand as glitter wands.
The fairy wands have the same price per wand as glitter wands.
Answer:
Glow wands = no
Fairy Wands= yes
Sparkle Wands = No
Step-by-step explanation:
Khanacademy
Trust
What is the positive root of the equation x2 + 5x = 150?
ao
Answer:
10.
Step-by-step explanation:
x^2 + 5x = 150
x^2 + 5x - 150 = 0
This equation will factor:
(x - 10)(x + 15) = 0
x - 10 = 0 or x + 15 = 0, so:
x = 10 or -15.
================================================
Work Shown:
First get everything to one side
[tex]x^2 + 5x = 150\\\\x^2 + 5x - 150 = 0\\\\[/tex]
Now use the quadratic formula
Plug in a = 1, b = 5, c = -150.
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(5)\pm\sqrt{(5)^2-4(1)(-150)}}{2(1)}\\\\x = \frac{-5\pm\sqrt{625}}{2}\\\\x = \frac{-5\pm25}{2}\\\\x = \frac{-5+25}{2} \ \text{ or } \ x = \frac{-5-25}{2}\\\\x = \frac{20}{2} \ \text{ or } \ x = \frac{-30}{2}\\\\x = 10 \ \text{ or } \ x = -15\\\\[/tex]
Factoring, completing the square, or graphing are alternative methods to get these two answers. We see that the positive root is x = 10.
(ab² + 13b - 4a) + (3ab² + a +7b)
Answer:
4ab² + 20b - 3a
Step-by-step explanation:
This question most likely asks us to simplify the expression, as factoring is not possible...
(ab² + 13b - 4a) + (3ab² + a + 7b),
ab² + 13b - 4a + 3ab² + a + 7b,
ab² + 3ab² + 13b + 7b - 4a + a,
Solution : 4ab² + 20b - 3a
For each problem, find the missing value using the Pythagorean Theorem
Answer:
Leg₂ ≈ 6.481 or √42
Step-by-step explanation:
a² + b² = c²
(√7)² + b² = (7)²
7 + b² = 49
b² = 42
b = √42
b ≈ 6.481
-1/2 ÷ 2(9+3)-4 - 3/4 (8)
,
Answer:
[tex]-\frac{1}{28}[/tex]
Step-by-step explanation:
-1/2 ÷ 2(9+3)-4 - 3/4(8)
-0.5 ÷ 2(12)-4 - 3/4(8)
-0.5 ÷ 2(12)-4 - 6
-0.5 ÷ 24-4 - 6
-0.5 ÷ 14 = [tex]-\frac{1}{28}[/tex]
Solve the equation by dividing. 125 = 5f
Answer:
Answer = 25
Step-by-step explanation:
125 = 5f
125/5 = f
25 = f
1.Which numbers below could be classified as integers? 2.Which number belongs in the shaded portion of the diagram below?
Answer:
1). Option (3)
2). Option (D)
Step-by-step explanation:
1). Integers are the numbers which are whole numbers with negative or positive notations.
Integers can't be a fraction or a number with decimal.
Out of the numbers given,
-18 and 4 will be the integers
Option (3) is the correct answer.
2). Shaded portion of the diagram represents the rational numbers excluding integers,
By the definition of the rational numbers, any number which can be written as a fraction is a rational number.
Rational numbers → All numbers given are the rational numbers
Integers → [tex]\frac{16}{4}=4, -\frac{30}{5}=6, -\frac{32}{8}=-4[/tex]
Therefore, only one number [tex]\frac{30}{9}[/tex] will lie in the shaded region.
Option (D) will be the answer.
In a college 65 students are studying Mathematics 50 students are studying science and 35 students are studying both subject. If none of the students study other subjects then how many students are studying in the college how many students are mathematical only how many student are science only
Answer:
Step-by-step explanation:
studying Math 65
Studying science 50
studying both 35
student are studying in the college are:(65+50)-35=80 students
student studying math only= 65-35=30
student studying science only = 50-25=15
Given f(x)=2x-7 solve for f(x)0
Answer:
if f(x)=0,
then 2x-7=0
so,x=7/2
Answer:
f−1(x)=12(y−7). Explanation: Given: f(x)=2x+7. Let y=f(x). y=2x+7. Expressing x in terms of y gives us the inverse of x. y−7=2x. 2x=y−7. x=12(y−7)
The temperature of a city at sunset was -2°F. Overnight, the temperature decreased by 12°F. What was the lowest
temperature overnight in that city?
A. -14°F
OB
14°F
О С.
10°F
D. -10°F
Answer:
-14 F
Step-by-step explanation:
GEOMETRY!! SOMEBODY PLEASE HELP ME ON THIS ITS URGENT! I NEED TO COMPLETE THE DILATIONS
im not going to give u the answer but all you do is
step by step :
#1. D2- (-6*2),(0*2)=(-12,0)
(3*2), (-9*2)= (6,-18)
(12*2),(4*2)=( 24,8)
(a) If tan A=x/y
prove that: y.cos2A +x.sin2A= y.
Please help me..
Answer: see proof below
Step-by-step explanation:
Use the following Double Angle Identities: cos 2A = 1 - 2sin²A
sin 2A = 2sinA · cosA
[tex]\text{Given:}\quad \tan A = \dfrac{x}{y}[/tex]
Proof LHS = RHS
y cos 2A + x sin 2A = y
x sin 2A = y - y cos 2A
x sin 2A = y(1 - cos 2A)
[tex]\dfrac{x}{y}=\dfrac{1-\cos2A}{sin\ 2A}[/tex]
[tex]\dfrac{x}{y}=\dfrac{1-(1-2sin^2A)}{2\sin A\cdot \cos A}[/tex]
[tex]\dfrac{x}{y}=\dfrac{2sin^2A}{2\sin A\cdot \cos A}[/tex]
[tex]\dfrac{x}{y}=\dfrac{\sin A}{\cos A}[/tex]
[tex]\dfrac{x}{y}=\tan A}[/tex]
This is a TRUE statement since it was given that [tex]\tan A = \dfrac{x}{y}[/tex]
A Pythagorean triple is said to be "primitive" if the greatest common divisor of a, b, and c is 1. Use trial and error to find a primitive Pythagorean triple other than (3, 4, 5).
Answer:
(5, 12, 13)
Step-by-step explanation:
Hello, please consider the following.
[tex](\forall (x,y) \in \mathbb{R}^2) \ \ (x^2-y^2)^2+(2xy)^2=(x^2+y^2)^2\\\\\text{You can develop both expressions to see that this is equal.}\\\\\text{After }(3,4,5)\text{ we can try the triple starting with }5\\\\\text{So, let's search x and y such that } 5=x^2-y^2=9-4=3^2-2^2\\\\\text{And, then, it comes}\\\\(3^2-2^2)^2+(2*3*2)^2=(3^2+2^2)^2\\\\<=> 5^2+12^2=13^2\\ \\\text{So, }(5,12,13)\text{ is a Pythagorean triple}[/tex]
Is it a primitive one?
5 = 1 * 5
12 = 1 * 2 * 2 * 3
13 = 1 * 13
So this is a primitive one.
Thanks
Answer:
5, 12, 13
Step-by-step explanation:
write the slope intercept form of the equation of the line through the given point with the given slope through (2,5) , slope 2
Answer:
y =2x+1
Step-by-step explanation:
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = 2x+b
Substituting the point into the equation
5 = 2(2)+b
5 = 4+b
5-4 =b
b=1
y =2x+1
(c+5)/(-2)=13
Someone please help
Answer:
-31
Step-by-step explanation:
-2((c+5)/(-2))=13*-2
c+5=-26
c=-31
Answer:
c = -31
Step-by-step explanation:
(c+5)/(-2)=13
Multiply each side by -2
(c+5)/(-2) *-2=13* -2
c+5 = -26
Subtract 5 from each side
c+5-5 = -26-5
c = -31
please help me on this question
Answer:
100 ml of concentrate and 350 ml of water
Step-by-step explanation:
2 + 7 = 9 total parts
450/9 = 50
2(50) = 100 ml concentrate
7(50) or 450 - 100 = 350 ml water
Hope it helped u if yes mark me BRAINLIEST!
Tysm!
You roll a single die numbered from 1 to 6 twice. The probability of rolling a 6 the first time and an odd number the second is the setup. What is the probability fraction "rolling a 6 the first time"?
Answer:
1 out of 6
Step-by-step explanation:
simplify (3x + 2)(4x - 4)
Answer:
12x² - 4x - 8
Step-by-step explanation:
Use FOIL method
(3x + 2)(4x - 4) = 3x*4x + 3x*(-4) + 2 *4x + 2*(-4)
= 12x² - 12x + 8x - 8 {add like terms}
= 12x² - 4x - 8
Hint: 3x * 4x -----> Multiply the coefficients = 3 *4 = 12 and then multiply the variables and for multiplying the two variable, add the powers
x*x =[tex]x^{1+1)=x^{2}[/tex]
3x * 4x = 12x²