Answer:
$7
Step-by-step explanation:
if she bought 10 bags and had $5 off and she spent $65 it would technically its $70 ÷ 10 = $7 per bag.
Each bag of dog food cost $7.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
We have,
Molly bought 10 bags of the same dog food.
She had a coupon for $5.
and, the amount without coupon is $65.
Then, the total amount is
= 65 + 5
= $70
So, the price per bag is
= 70/ 10
= $7
Learn more about Unitary Method here:
https://brainly.com/question/28276953
#SPJ7
What is 1,050/55 What is the answer.
Answer: 19.0909090909 or 19
prove it please
answer only if you know
Part (c)
We'll use this identity
[tex]\sin(x+y) = \sin(x)\cos(y) + \cos(x)\sin(y)\\\\[/tex]
to say
[tex]\sin(A+45) = \sin(A)\cos(45) + \cos(A)\sin(45)\\\\\sin(A+45) = \sin(A)\frac{\sqrt{2}}{2} + \cos(A)\frac{\sqrt{2}}{2}\\\\\sin(A+45) = \frac{\sqrt{2}}{2}(\sin(A)+\cos(A))\\\\[/tex]
Similarly,
[tex]\sin(A-45) = \sin(A + (-45))\\\\\sin(A-45) = \sin(A)\cos(-45) + \cos(A)\sin(-45)\\\\\sin(A-45) = \sin(A)\cos(45) - \cos(A)\sin(45)\\\\\sin(A-45) = \sin(A)\frac{\sqrt{2}}{2} - \cos(A)\frac{\sqrt{2}}{2}\\\\\sin(A-45) = \frac{\sqrt{2}}{2}(\sin(A)-\cos(A))\\\\[/tex]
-------------------------
The key takeaways here are that
[tex]\sin(A+45) = \frac{\sqrt{2}}{2}(\sin(A)+\cos(A))\\\\\sin(A-45) = \frac{\sqrt{2}}{2}(\sin(A)-\cos(A))\\\\[/tex]
Therefore,
[tex]2\sin(A+45)*\sin(A-45) = 2*\frac{\sqrt{2}}{2}(\sin(A)+\cos(A))*\frac{\sqrt{2}}{2}(\sin(A)-\cos(A))\\\\2\sin(A+45)*\sin(A-45) = 2*\left(\frac{\sqrt{2}}{2}\right)^2\left(\sin^2(A)-\cos^2(A)\right)\\\\2\sin(A+45)*\sin(A-45) = 2*\frac{2}{4}\left(\sin^2(A)-\cos^2(A)\right)\\\\2\sin(A+45)*\sin(A-45) = \sin^2(A)-\cos^2(A)\\\\[/tex]
The identity is confirmed.
==========================================================
Part (d)
[tex]\sin(x+y) = \sin(x)\cos(y) + \cos(x)\sin(y)\\\\\sin(45+A) = \sin(45)\cos(A) + \cos(45)\sin(A)\\\\\sin(45+A) = \frac{\sqrt{2}}{2}\cos(A) + \frac{\sqrt{2}}{2}\sin(A)\\\\\sin(45+A) = \frac{\sqrt{2}}{2}(\cos(A)+\sin(A))\\\\[/tex]
Similarly,
[tex]\sin(45-A) = \sin(45 + (-A))\\\\\sin(45-A) = \sin(45)\cos(-A) + \cos(45)\sin(-A)\\\\\sin(45-A) = \sin(45)\cos(A) - \cos(45)\sin(A)\\\\\sin(45-A) = \frac{\sqrt{2}}{2}\cos(A) - \frac{\sqrt{2}}{2}\sin(A)\\\\\sin(45-A) = \frac{\sqrt{2}}{2}(\cos(A)-\sin(A))\\\\[/tex]
-----------------
We'll square each equation
[tex]\sin(45+A) = \frac{\sqrt{2}}{2}(\cos(A)+\sin(A))\\\\\sin^2(45+A) = \left(\frac{\sqrt{2}}{2}(\cos(A)+\sin(A))\right)^2\\\\\sin^2(45+A) = \frac{1}{2}\left(\cos^2(A)+2\sin(A)\cos(A)+\sin^2(A)\right)\\\\\sin^2(45+A) = \frac{1}{2}\cos^2(A)+\frac{1}{2}*2\sin(A)\cos(A)+\frac{1}{2}\sin^2(A)\right)\\\\\sin^2(45+A) = \frac{1}{2}\cos^2(A)+\sin(A)\cos(A)+\frac{1}{2}\sin^2(A)\right)\\\\[/tex]
and
[tex]\sin(45-A) = \frac{\sqrt{2}}{2}(\cos(A)-\sin(A))\\\\\sin^2(45-A) = \left(\frac{\sqrt{2}}{2}(\cos(A)-\sin(A))\right)^2\\\\\sin^2(45-A) = \frac{1}{2}\left(\cos^2(A)-2\sin(A)\cos(A)+\sin^2(A)\right)\\\\\sin^2(45-A) = \frac{1}{2}\cos^2(A)-\frac{1}{2}*2\sin(A)\cos(A)+\frac{1}{2}\sin^2(A)\right)\\\\\sin^2(45-A) = \frac{1}{2}\cos^2(A)-\sin(A)\cos(A)+\frac{1}{2}\sin^2(A)\right)\\\\[/tex]
--------------------
Let's compare the results we got.
[tex]\sin^2(45+A) = \frac{1}{2}\cos^2(A)+\sin(A)\cos(A)+\frac{1}{2}\sin^2(A)\right)\\\\\sin^2(45-A) = \frac{1}{2}\cos^2(A)-\sin(A)\cos(A)+\frac{1}{2}\sin^2(A)\right)\\\\[/tex]
Now if we add the terms straight down, we end up with [tex]\sin^2(45+A)+\sin^2(45-A)[/tex] on the left side
As for the right side, the sin(A)cos(A) terms cancel out since they add to 0.
Also note how [tex]\frac{1}{2}\cos^2(A)+\frac{1}{2}\cos^2(A) = \cos^2(A)[/tex] and similarly for the sin^2 terms as well.
The right hand side becomes [tex]\cos^2(A)+\sin^2(A)[/tex] but that's always equal to 1 (pythagorean trig identity)
This confirms that [tex]\sin^2(45+A)+\sin^2(45-A) = 1[/tex] is an identity
The Basketball team sets a goal of having at least a 7:2 Win Loss Ratio. If they play 36 games in a season, how many games must they win to achieve their goal?
3. What are the factors in the expression 4(5 + x)?
Answer:
Step-by-step explanation:
The factors are the parts that are being multiplied together.
4 and (5+x) are the two that are being multiplied and also the expression you get when you factor the distributed expression.
So the factors of 4(5+x) are:
4 and (5+x)
I need help with Geometry
Answer:
Me too
Step-by-step explanation:
Answer: hello
your answer will be C
Step-by-step explanation:
The diagonal of a rhombus are 14cmand 10 cm find the area of
rhombus.
There are 3 students to 1 adult on a field trip. You need to find the number of adults needed for 24 students. What would
the second ratio of the proportion look like If the first proportion is as follows?
3 students
1 adult
O
Х
24 students
O
24 students
Х please just answer
o
3
o
Answer:
6
Step-by-step explanation:
Answer:
24students:X
Step-by-step explanation:
I didnt really understand but this is my best answer
Plz help me I don’t het this a question !!!
Answer:
C=50.24
Step-by-step explanation:
Formula for circumference with radius: 2[tex]\pi[/tex]r
r= radius
C=circumference
Now subsitute the variables with the values given.
Formula: 2[tex]\pi[/tex]r -> 2(3.14)(8)
C=50.24
A single card is drawn at random from a standard 52 card deck. Work out the following probabilities in their simplest form: P(7) = P(not 7) =
Answer:
[tex]1) \frac{1}{13} \\ 2) \frac{12}{13} [/tex]
Step-by-step explanation:
to understand thisyou need to know about:simple probabilityPEMDAStips and formulas:there are 4 "7" cards in a decklet's solve:according to the question
P(7)=4/52P(7)=1/13according to the question
P(not 7)=1-[tex]\frac{1}{13}[/tex]P(not 7)=12/13Answer:
no of 7=4
total no of card =52
total not no.7=52-4=48
Step-by-step explanation:
probability of getting 7=4/52=1/13
probability of not getting 7=48/52=12/13
What is the amount of sales tax owned in a $39 jacket if the tax rate is 5%
Answer:
$1.95
Step-by-step explanation:
Factor completely x3 − 2x2 − 5x + 10.
(x − 2)(x2 − 5)
(x + 2)(x2 + 5)
(x − 2)(x2 + 5)
(x + 2)(x2 − 5)
Answer:
The answerr is the first one
Step-by-step explanation:
Answer:
ITs A. Got it right on my test
Step-by-step explanation:
Which of the following shapes is concave?
OA)
OB)
OC)
OD)
Answer:
A is a concave polygon,....,.
Answer:
the answer will be A.
Step-by-step explanation:
Help ASAP Glven the system of equations, what is the value of the system determinant?
2x+y=8
X-y=10
HELP ILL MARK YOU BRAINLIST PLZ
Answer:
Step-by-step explanation:
Answer:
An = A + (n - 1) ×d
hope it helps
PLZZZZZZZZ HELPPPP!!!!!!!!!!!!!!
Answer:
1 135
2 80
3 145
4 45
Step-by-step explanation:
Thats the answer
.
.
.
Find the measure of the following:
m arcTR =
m arcTL =
m ∠L =
m ∠R =
m ∠RTV =
Answer:
you have to do that we don't know k sorry bro
What is the slope of the line represented by the equation y=-2/3-5x?
-5
-2/3
2/3
5
Answer:
-5
Step-by-step explanation:
y=-2/3-5x
Rewriting the equation in the form y = mx+b where m is the slope and b is the y intercept
y = -5x -2/3
The slope is -5 and the y intercept is -2/3
the yearly income of a person is rs 90000.It is increased by 15%what is the income of person after one year
Answer:
13,500.00 yearly is the raise + 90000.00 original salary= 103500.00 a year
Rs 103500
Sorry hazy little bit
If a + b = c, which of the following statements is true?
c – a = b
b – c = a
a – c = b
c + b = a
Answer:
c-a=b
Step-by-step explanation:
a right angled triangle has sides which are 2cm and 7cm shorter than its hypotenuse find the length of the hypoenuse
Answer:
The length of the hypotenuse side is (9 + 2·√7) cm
Step-by-step explanation:
The given parameters of the triangle are;
The type f triangle = Right triangle
The length of the sides 2 cm and 7 cm shorter than the hypotenuse
Let 'h' represent the length of the hypotenuse side of the triangle, in centimeters we have;
The length of one side of the right triangle = (h - 2) cm
The length of the other side of the right triangle = (h - 7) cm
By Pythagoras's theorem, we have;
h² = (h - 2)² + (h - 7)²
Using search function on the internet, we have;
h² = (h - 2)² + (h - 7)² = 2·h² - 18·h + 53
∴ h² = 2·h² - 18·h + 53
∴ 2·h² - 18·h + 53 = h²
h² - 18·h + 53 = 0
53 is a prime number, therefore, by the quadratic formula, we have;
h = (18 ± √((-18)² - 4×1×53))/(2 × 1)
h = 9 + 2·√7 cm ≈ 14.29 cm or h = 9 - 2·√7 ≈ 3.71
However, given that one of the side is 7 cm shorter than the hypotenuse, for all the sides to remain positive, we have h = 9 + 2·√7 cm ≈ 14.29 cm , because for h ≈ 3.71 cm, we have;
The length of the other side = (h - 7) cm ≈ (3.71 - 7) cm ≈ -3.29 cm which is not possible for a real triangle
Therefore, the length of the hypotenuse side, h = 9 + 2·√7 cm ≈ 14.29 cm.
At Dwayne's Swimwear, 75% of the 92 swimsuit styles are bikinis. How many bikini styles are there?
Answer:
69 styles
Step-by-step explanation:
75%= 3/4
92/4= 23 (1/4)
23x3= 69
In the rectangle below,EI=4x+5 ,FI=6x+1 , and m
Answer:
what? I dont understand not one thing
B. Solve;
1. Find a number such that three times the sum of that number
and 5 is greater than 33.
2. The sum of two consecutive integers is less than 81. Find the
pair of integers with the greatest sum.
Need help as fast as possible please
I will mark BRAINLIST only for correct answers babes :)
Thank you!
Answer:
What is ur book called
I will edit my answer after this
Answer:
1. you move a shape to somewhere else by a number of units
2. the position of the book changes
3. no you are just moving the shape
What is the length of the hypotenuse to the nearest hundredth place in the diagram below
Answer:
Hypotenuse (x) = 7.27
Step-by-step explanation:
cos57*=4cm/x
cos57*/cos57*=4/cos57*
x=4/cos57*
cos57*~.55
x=4/.55
x=7.27
The linear combination method is applied to a system of equations as shown.
4(.25x + .5y = 3.75) → x + 2y = 15
One-fourth(4x – 8y = 12) → x – 2y = 3
2x = 18
What is the solution of the system of equations?
Answer:
hi
Step-by-step explanation:
Option 4th is correct
The solution of the system of equations is, (9, 3)
Step-by-step explanation:
Given the system of equations:
⇒ .....[1]
⇒ .....[2]
Add equation [1] and [2] we have;
Divide both sides by 2 we have;
Substitute x = 9 in [1] we have;
Subtract 9 from both sides we have;
2y = 6
Divide both sides by 2, we have;
y = 3
Therefore, the solution of the system of equations is, (9, 3)
Givereasons
a) The image gives all the details of an object.
b) The shadow of a translucent material is not clear.
Answer:
a
Step-by-step explanation:
Which algebraic expression represents “Marcus practiced the trumpet twice as long this week”?
2 + p
2p
p minus 2
StartFraction p Over 2 EndFraction
Please Help!
Answer:
2p should be the correct answer!
Answer:
2p is the answer
Step-by-step explanation:
I took the answer edg2021
a) X -Y =10 y = 5
b) X = 20 , y = 6
c) X = 14, y = 4
Answer:
a) X - Y = 10
and,
X - 5 = 10
or, X = 10 + 5
or, X = 15
And i don't get the other two questions
Hope this helped
Hope this helped ALL THE BEST !!
This means that each point where the two lines intersect is a
Answer: When two or more lines cross each other in a plane, they are called intersecting lines. The intersecting lines share a common point, which exists on all the intersecting lines, and is called the point of intersection. Here, lines P and Q intersect at point O, which is the point of intersection.
I think this the answer♀️