Answer:
-12
Step-by-step explanation:
Use PEMDAS,
doing the division first, then addition to simplify the terms
(-72)/(+9) + 16/(-4)
(-72/9) + (16/-4)
-8+(-4) = -12
Answer:
-12
Step-by-step explanation:
((-72)÷(9))+((16):(4))
= (-8)+(-4)
= -12
By increasing the list price of a book by ₹10 a person can buy a 10 books less for ₹1200 Find the original list price of the book. ( form Quadratic equation for the question)
Answer:
cwbmwl2h2h2jl2bcek2k3cgwkel
On the circle below, tangent line BC¯¯¯¯¯ is constructed by striking an arc from point D that intersects circle A at point B. The measure of EC¯¯¯¯¯ is 8 units and other measures are shown on the diagram below. Enter the distance from point D to point B.
Answer:
[tex]\huge\boxed{BD = 12\ units}[/tex]
Step-by-step explanation:
If AB = 5 , then AE = 5 [Radii of the same circle]
So,
AC = AE + EC
AC = 8+5
AC = 13 units
Now, Using Pythagorean theorem to find the missing side i.e. BD because tangent strikes the circle at 90 degrees making the triangle a right angled triangle
[tex]c^2=a^2+b^2[/tex]
Where c = AC , a = BD and b = AB
[tex]13^2 = BD^2+5^2[/tex]
169 = BD² + 25
Subtracting 25 to both sides
169 - 25 = BD²
BD² = 144
Taking square root on both sides
BD = 12 units
after allowing 5 percent discount on the marked price of a radio 10 percent vat is charged on it , then its price became rs 1672 .how much amount was given in the discount ans80
Answer:
The discount was rs 80.
Step-by-step explanation:
The item started at an original undiscounted price of x.
Then a 5% discount was applied. The price is now 0.95x.
Then a 10% VAT was applied. The price is now 1.1(0.95x).
The price is now rs 1672.
1.1(0.95x) = 1672
Divide both sides by 1.1 and by 0.95.
x = 1600
The original price was rs 1600.
5% of rs 1600 = 0.05 * rs 1600 = rs 80
The discount was rs 80.
Which property is illustrated by the equation 3 (m n) = (3 m) n?
Answer:
The property illustrated by the equation 3(mn) = (3m)n is associative property of multiplication. This answer has been confirmed as correct and helpful.Answer:
associative
Step-by-step explanation:
solve 7 + x - 15=-2 2/3
Answer:
16/3 or 5 1/3
Step-by-step explanation:
7 + x - 15 = -2 2/3
x - 8 = -2 2/3
x = 16/3
Answer:
Let's solve your equation step-by-step.7+x−15=223
Step 1: Simplify both sides of the equation.
x−8=8/3
Step 2: Add 8 to both sides
.x−8+8=8/3+8x=32/3
Answer:x=10 2/3
i just answered this question on an algebra quiz and it was multiple choice, i hope this helps!
Examine the graph. What is the domain and range of the function represented by the graph? Select two answers: one for the domain and one for the range.
domain: (−∞,∞)
range: [−9,∞)
domain: (−2,4)
range: (−∞,∞)
range: (−2,4)
domain: [−9,∞)
domain: (−∞,∞)
range: [−9,∞)
=========================================
Explanation:
The graph extends forever to the left and right. This means any x value can be plugged into the function to get some y value output. The domain is the set of all real numbers in which we write (−∞,∞) when using interval notation. This is the interval from negative infinity to positive infinity. We exclude both endpoints as we cannot reach infinity.
The smallest y value possible is y = -9 as shown by the vertex point (1, -9) being the lowest point on the parabola. The range is the set of y values such that [tex]y \ge -9[/tex] so we say [−9,∞) in interval notation. This is the interval from -9 to infinity. The square bracket says to include -9 as part of the interval.
Answer: It is A, I did this question many times before.
(−∞,∞)
Step-by-step explanation:
A coin is tossed 7 times. What is the probability that the number of heads obtained will be between 2 and 7 inclusive? Express your answer as a fraction or a decimal number rounded to four decimal places.
Answer:
0.9375
Step-by-step explanation:
Given the following :
Number of coin tosses = 7
Probability that number of heads obtained will be between 2 and 7 inclusive?
x = 2,3,4,5,6,7
Probability (P) = number of required outcomes / total possible outcomes
For a coin toss = 1 Head (H), 1 tail (T)
P(H) = 1 / 2
P(X) = C(7,x) * (1/2)^7
P(X) = C(7, x) / 0.5^-7
P(X) = [C(7,2) + C(7, 3)+ C(7,4) +C(7,5) + C(7,6) +C(7,7)] / 128
P(X) = (21 + 35 + 35 + 21 + 7 + 1) / 128
P(X) = 120 / 128
P(X) = 0.9375
helphelphelphelphelphelphelp
Answer:
P = 1,-10
Q=1,-1
R=7,-1
S=7,-10
Let X denote the block rate of the host hotel for a particular conference, and let Y denote the lowest room rate available in the host hotel outside of the conference block. For a conference that requires a two-night hotel stay, which one of the following expressions represents the least amount of discount on the conference registration fee that, according to the article, would be sufficient to deter conference attendees from employing the ROB strategy in choosing accommodations?
A. X+Y2X+Y2
B. X−Y2X−Y2
C. X−YX−Y
D. X+YX+Y
E. 2(X−Y)
Answer:
C. X-Y X-Y
Step-by-step explanation:
The question asks to identify the least amount of discount on the conference registration. If the registration discount is at least half of the possible saving of ROB then all attendees will stay within the block. X is the block rate and Y is the non block rate. The saving for staying two nights outside the block is 2 (X-Y)
A library building is in the shape of a rectangle. Its floor has a length of (3x + 5) meters and a width of (5x − 1) meters. The expression below represents the area of the floor of the building in square meters: (3x + 5)(5x − 1) Which of the following simplified expressions represents the area of the floor of the library building in square meters? (5 points)
Answer:
(16x + 8)m²
Step-by-step explanation:
area of a rectangle = 2length + 2width
=2(3x + 5) + 2(5x-1)
=6x + 10 + 10x - 2
=(16x + 8)m²
a=3x + 2y/3x - 2y. If y =4, x=6 find the value of a.
Answer:
a = [tex]\frac{13}{5}[/tex]
Step-by-step explanation:
Given
a = [tex]\frac{3x+2y}{3x-2y}[/tex] , substitute y = 4 , x = 6
a = [tex]\frac{3(6)+2(4)}{3(6)-2(4)}[/tex] = [tex]\frac{18+8}{18-8}[/tex] = [tex]\frac{26}{10}[/tex] = [tex]\frac{13}{5}[/tex]
PLEASE help me with this question! This is really urgent! No nonsense answers please.
Answer:
140°
Step-by-step explanation:
[tex] \because m\widehat{BG} = 360\degree - m\widehat{GCB} \\
\therefore m\widehat{BG} = 360\degree - 300\degree \\
\therefore m\widehat{BG} = 60\degree \\
\because m\widehat{BGD} = m\widehat{BG}
+m\widehat{GD}\\
\therefore m\widehat{BGD} = 80\degree+60\degree\\
\therefore m\widehat{BGD} = 140\degree\\
\because m\angle BAD = m\widehat{BGD} \\
\huge\purple {\boxed {\therefore m\angle BAD =140\degree}} [/tex]
Gavin is selling water bottles at a baseball game to help raise money for new uniforms.
Before the game, he buys 48 water bottles for a total of $18.50. At the game, he sells all of
the bottles for $1.25 each. How much profit does Gavin make?
The profit made by Gavin at the end of the game is $0.87 per bottle.
How to calculate profit?The profit can be calculated by taking the difference of selling price and the cost price.
Given that,
The number of bottles bought for $18.50 is 48 and sold for $1.25 each.
Then, the cost for one bottle is 18.50/48 = $0.38.
As per the question the profit made can be calculated as the difference of selling price and cost price as,
Profit = Selling price - Cost Price
= 1.25 - 0.38
= $0.87
Hence, the profit earned by Gavin is given as $0.87 for each bottle.
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PLEASE help me solve this question! No nonsense answers please!
Answer:
$6,291.70
Step-by-step explanation:
You're given the equation and you're given an x-value; 75,834. Just plug it in to get m = 2500 + 0.05(75,834) = 2500 + 3791.70 = 6,291.70.
Answer:
$6,291.70
Step 1:
To find the monthly salary for somebody who sells $75,834 in cars, we need to first multiply that by 0.05, or 5%, since 0.05 has to get multiplied by s (sales) in the equation they provide us. We don't do anything with $2,500 (yet).
[tex]75,834*0.05=3791.70[/tex]
One of the options for our answer shows 3,791.7, but we are not finished with solving this problem, so 3,791.7 is not our answer.
Step 2:
After completing step 1, Superb Auto already provides new salespeople with $2,500. This means that whatever they sell (or don't sell), they would still get that $2,500. In step 1, we found out that our first number that replaces 0.05s is 3791.7, so we just have to add that to 2,500 to get our final answer.
[tex]3791.7+2500=6291.7[/tex]
Our final answer is $6,291.70, and that is the third option on our list of choices.
Complete the recursive formula of the arithmetic sequence -15, -11, -7, -3,...−15,−11,−7,−3,...minus, 15, comma, minus, 11, comma, minus, 7, comma, minus, 3, comma, point, point, point.
Answer:
c(1) = -15
c(n) = c(n - 1) + 4
Step-by-step explanation:
Given arithmetic sequence is,
-15, -11, -7, -3...........
Common difference between each successive and previous term is,
d = -11 - (-15)
= -11 + 15
= 4
Since recursive formula of the arithmetic sequence is represented by,
a₁ = First term of the sequence
a(n) = a(n - 1) + d
where a(n) is the nth term and a(n-1) is the previous term of the nth term.
Form the given sequence,
c₁ = -15
c(n) = c(n - 1) + 4
16x^2 - 49 when factored is ?
Answer:
(4x-7)(4x+7)
Step-by-step explanation:
This is called the Difference of Two Squares (DOTS).
These are the conditions that must be met for DOTS to work:
•There must be 2 terms.
•They must be separated by a negative sign.
•Each term must be a perfect square.
First, you have to find 2 square numbers that times together to make 16.
4×4=16
As we want 16x², you just need to make the 4 become 4x:
4x times 4x equals 16x²
Then, find 2 squares that times together to make 49.
7×7=49
You can put the two squares into a bracket with the x variable first, then the number:
(4x-7)(4x+7)
In the brackets, you always put the negative sign in the first one and then the plus sign in the second one.
You can double check your answer by expanding it back out again using FOIL:
F-First
O-Outer
I-Inner
L-Last
Times the First two in the two brackets:
4x times 4x equals 16x²
Times the Outer two:
4x times 7 equals 28x
Times the Inner two:
-7 times 4x equals -28x
Times the Last two:
-7 times 7 equals -49
Form an equation:
16x²+28x-28x-49
The 28x cancel out to leave:
16x²-49
Hope this helps :)
Bob says that he can find the area of the triangle below using the formula: A = [tex]\frac{1}{2}[/tex] * 8 *18 * sin (120°). Is he correct? Explain why or why not.
Answer:
No.
Step-by-step explanation:
No, Bob is not correct.
The formula he's using is the following:
[tex]A=\frac{1}{2} ab\sin(C)[/tex]
The important thing here is that the angle is between the two sides.
In the given triangle, 120 is not between 8 and 18. Therefore, using this formula will not be valid.
Either Bob needs to find the other side first or find the angle between 8 and 18.
evaluate each expression below
Answer:
see below
Step-by-step explanation:
0/7 = 0
We can divide 0 by a non zero number
5/0 = undefined
We cannot divide by 0
1. Which is an example of an algebraic expression? (2 point) A.4(3+8) B.18² C.3-a D.21×4
Answer:
C
Step-by-step explanation:
The answer is C cz it contains the letter a
55÷11[120÷2{4+(10+5-7)}]
Answer:
3600
Step-by-step explanation:
First, solve the innermost brackets first.
=> 55/11 [120 /2{4 + (10 + 5 - 7)}]
=> 55/11 [120 /2{4 + (8)}]
=> 55/11 [120 /2{4+8}]
=> 55/11 [120 /2{12}]
=> 55/11[ 60 x 12]
=> 55/11 [720]
=> 5 [720]
=> 3600
The lengths of two sides of an isosceles triangle are 5 and 9. The length of the third side could be
The length of the side can be both 5 and 9.
What is an Isosceles Triangle?An Isosceles Triangle is a triangle that has two equal sides.
The length of the sides of an isosceles triangle is given as 5 and 9
To determine the third side, the property of Triangle Inequality will be used
According to the property, the sum of any pair of a triangle’s sides is always greater than the third side.
If the third side is 5 then
5+5 > 9
10 >9
true
if the third side is 9 then
5+9 > 9
14>9
Therefore, the length of the side can be both 5 and 9.
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URGENT, WILL GIVE BRAINLIEST IF CORRECT.
8 and 13
11.5 and 23.6
22 and 15
Answer:
5 < x < 21
Step-by-step explanation:
I did this bfore.
Help anyone can help me do this question,I will mark brainlest.
Answer:
10. x is 15; y is \sqrt104. 11. \sqrt5
Step-by-step explanation:
for 10:
first we find the face on the left side; which according to the pythagorean theorem x is 144 + 81 =225 = x = 15. and y is 11^2 + y^2 = 225 = 225 - 121 = y^2 = y = the square root of 104.
for 11:
144 + y^2 = 169 = y^2 = 25 = y = 5. because the two sides are equivalent, the base is also 5 for the left part of the triangle. therefore, 5^2 + 5^2 = x^2 which means x is the square root of 5.
The quotient of x^2+x-6/x^2-6x+5*x^2+2x-3/x^2-7x+10 has ___ in the numerator and ______ in the denominator.
Answer:
So the quotient of [tex]\frac{x^{2} + x - 6}{x^{2} -6x + 5} X \frac{x^{2} + 2x - 3}{x^{2} -7x + 10}[/tex] has (x + 3)² in the numerator and (x + 5)² in the denominator.
Step-by-step explanation:
[tex]\frac{x^{2} + x - 6}{x^{2} -6x + 5} X \frac{x^{2} + 2x - 3}{x^{2} -7x + 10}[/tex]
Factorizing the expressions we have
[tex]\frac{x^{2} + 3x -2x - 6}{x^{2} -x - 5x + 5} X \frac{x^{2} + 3x - x - 3}{x^{2} -2x -5x + 10}[/tex]
[tex]\frac{x(x + 3)- 2(x + 3)}{x(x -1) - 5(x - 1)} X \frac{x(x + 3) - 1(x + 3)}{x(x - 2) - 5(x - 2)}[/tex]
[tex]\frac{(x + 3)(x - 2)}{(x - 5)(x - 1)}X\frac{(x + 3)(x - 1)}{(x - 2)(x - 5)}[/tex]
Cancelling out the like factors, (x -1) and (x - 2), we have
[tex]\frac{(x + 3)(x + 3)}{(x - 5)(x - 5)}[/tex]
= [tex]\frac{(x + 3)^{2} }{(x + 5)^{2} }[/tex]
So the quotient of [tex]\frac{x^{2} + x - 6}{x^{2} -6x + 5} X \frac{x^{2} + 2x - 3}{x^{2} -7x + 10}[/tex] has (x + 3)² in the numerator and (x + 5)² in the denominator.
Given that A is directly proportional to B and that A = 5/3 when B = 5/6, find A when B=1/3 and B when A =15/2.
Step-by-step explanation:
A is directly proportional to B is written as
A = kBwhere k is the constant of proportionality
First we must find the relationship between the two variables
when
A = 5/3
B = 5/6
Substitute the values into the formula to find k
[tex] \frac{5}{3} = k \frac{5}{6} [/tex]
Multiply through by the LCM which is 6
That's
[tex]5 \times 2 = 5k[/tex]
5k = 10
Divide both sides by 5
k = 2
So the formula for the variation is
A = 2Bwhen B = 1/3
[tex]A = 2 \times \frac{1}{3} [/tex]
[tex]A = \frac{2}{3} [/tex]When A = 15/2
[tex] \frac{15}{2} = 2B[/tex]
Multiply through by 2
[tex]4B = 15[/tex]
Divide both sides by 4
[tex]B = \frac{15}{4} [/tex]Hope this helps you
multiple choice
a. 12 pie cm
b. 21 pie cm
c. 35 pie cm
Answer:
The correct option is;
a. 12 pie cm
Step-by-step explanation:
Cavalieri's principle states that if the cross-sectional area of two or more figures of the same altitude are the same at each level of the figures, then the volumes of the figures are also the same;
Given that the base area of the square based prism and the cylinder are the same, and that the square based prism and the cylinder have equal height of 4 cm, then by Cavalieri's principle, their volumes are the same
The volume of the square based prism = 452 cm³
Therefore, the volume of the cylinder (of equal base area) = 452 cm³
The formula for the volume of square based prism = Area of base × Height
∴ The volume of square based prism, 452 cm³ = Area of base × 4 cm
Which gives;
Area of the base of the square based prism = 452/4 = 113 cm²
The area of the base of the cylinder [tex]A_c[/tex] = The area of the base of the square based prism = 113 cm²
The area of the base of the cylinder,[tex]A_c[/tex] is given by the following equation;
[tex]A_c[/tex] = π×r² = 113 cm²
r = √(113/π) = √35.97 ≈ √36 = 6 cm
The circumference of the base of the cylinder,[tex]C_c[/tex] is given by the following equation
[tex]C_c[/tex] = 2×π×r ≈ 2×π×6 = 12×π cm
The correct option is 12 pie cm.
NEED HELP ASAP solve for x : 3/5 = x-1/8
a.5 b.29/5 c.23/5 d.19/5
Answer:
[tex] \boxed{ \sf{ \bold{ \huge{ \boxed{ \frac{29}{5} }}}}}[/tex]Option B is the correct option.
Step-by-step explanation:
[tex] \sf{ \frac{3}{5} = \frac{x - 1}{8} }[/tex]
Apply cross product property
⇒[tex] \sf{ 5(x - 1) = 3 \times 8}[/tex]
Distribute 5 through the parentheses
⇒[tex] \sf{5x - 5 = 3 \times 8}[/tex]
Multiply the numbers
⇒[tex] \sf{5x - 5 = 24}[/tex]
Move 5 to right hand side and change it's sign
⇒[tex] \sf{5x = 24 + 5}[/tex]
Add the numbers
⇒[tex] \sf{5x = 29}[/tex]
Divide both sides of the equation by 5
⇒[tex] \sf{ \frac{5x}{5} = \frac{29}{5} }[/tex]
⇒[tex] \sf{x = \frac{29}{5} }[/tex]
Hope I helped!
Best regards!!
GIVE ME A REAL ANSWER PLEASE! IT IS DUE NOW! Factor completely 3x^2 + 5x + 1.
(3x + 1)(x + 1)
(3x + 5)(x + 1)
(3x − 5)(x + 1)
Prime
Answer:
prime
Step-by-step explanation:
3x^2 + 5x + 1
it can't be factorizes with rational numbers
Answer:
Prime
Step-by-step explanation:
3x^2 + 5x + 1
3x^2 factors in to 3x and x
1 factors into 1 and 1
( 3x + 1) ( x+1)
We need to verify the middle is 5
3x+1x = 4x
so this is not true
We cannot factor this so it is prime
whats a square + b square I don't know thats why I am asking u dude
Answer:
.............................
plllllzzzzzzzz hellllllllpppp again...lol
Answer:
34
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
71 = z+37
Subtract 37 from each side
71 -37 =z
34 =z
Step-by-step explanation:
[tex]thank \: you[/tex]