An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The number of chocolate boxes is 6.
The number of ornament boxes is 8.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 5 is an equation.
We have,
Number of chocolate boxes = C
Number of ornaments boxes = B
The total cost of 14 boxes = $156
Cost of one box of chocolate = $10
Cost of one box of ornaments = $!2
Now,
C + B = 14 ______(1)
10C + 12B = 156 _______(2)
From (1) we get,
C = 14 - B ______(3)
Putting (3) in (2) we get,
10 (14 - B) + 12B = 156
140 - 10B + 12B = 156
140 + 2B = 156
2B = 156 - 140
2B = 16
B = 16/2
B = 8
Now,
C = 14 - B
C = 14 - 8
C = 6
Thus,
The number of chocolate boxes is 6.
The number of ornament boxes is 8.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ2
6th grade hw help! Please and ty.
Answer: I cant see the pic clearly
Step-by-step explanation:
Answer:
i can't see pic clearly
#2) A lifeguard is swimming to a drowning swimmer. The lifeguard's location is at
(0,0) and the swimmer is at (8,5). How far (distance) is the lifeguard from the
swimmer?
9.43
89
6.24
3.61
Answer:
9.43Step-by-step explanation:
The formula for calculating the distance between two points is expressed as
D =√(x2-x1)²+(y2-y1)²
Given the coordinates (0,0) and (8,5)
D = √(5-0)²+(8-0)²
D = √5²+8²
D = √25 + 64
D = √89
D = 9.43
Hence the distance between the life guard and the swimmer is 9.43
Add the following complex numbers: (4 - 2i) + (12 + 7i) A. -8 + 5i B. 16 + 5i C. 16 + 9i D. -8 + 9i
Summing complex numbers is easy: you just sum the real parts together and the imaginary parts together:
[tex](a+bi)+(c+di)=(a+c)+(b+d)i[/tex]
So, you have
[tex](4 - 2i) + (12 + 7i) = (4+12)+(-2+7)i = 16+5i[/tex]
plz answer this within 2 mins and receive brainiest......
Answer:
Brand B is cheaper by 0.17 per pound.
Step-by-step explanation:
Brand A = 47.7/45 = 1.06
Brand B = 48.95/55 = 0.89
Which graph has the domain of x>-3? The less than sighn is supposed to have the line under. Will mark the brainliest
Answer:
Top graph
Step-by-step explanation:
It starts at x and continues right, so x > -3 in that graph
Salt is poured from a container at 10 cm³ s-¹ and it formed a conical pile whose height at any time is 1/5 the radius of the above. At what rate is the height of the cone increasing when the height is 2 cm form the base of the cone?
Given :
Salt is poured from a container at 10 cm³ s-¹ and it formed a conical pile whose height at any time is 1/5 the radius of the above.
To Find :
At what rate is the height of the cone increasing when the height is 2 cm form the base of the cone.
Solution :
We know, volume of a cone is given by :
[tex]V = \dfrac{\pi r^2h}{3}[/tex]
Also, h = r/5
r = 5h
[tex]V = \dfrac{\pi (5h)^2h}{3}\\\\V = \dfrac{\pi 25h^3}{3}[/tex]
Differentiating above equation w.r.t h, we get :
[tex]\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{\pi 25h^3}{3})\\\\\dfrac{dV}{dh} = 25\pi h^2\dfrac{dh}{dt}\\\\\dfrac{dh}{dt}= \dfrac{\dfrac{dV}{dh}}{25\pi h^2 }\\\\\dfrac{dh}{dt}=\dfrac{10}{25\times 3.14\times 2^2}\\\\\dfrac{dh}{dt}=0.032\ cm/s[/tex]
Hence, this is the required solution.
Jovie’s boss tells her to make 6 inch ribbon curls. If she makes 60 ribbon curls per hour, how many hours would it take her to make 480 ribbon curls? Write an equation and then solve.
Answer:
To make 480 ribbon curls, it would take 8 hours.
Step-by-step explanation:
x=480/60
x=8
Love the Elf reference btw. Hope this helped! :D (Sorry if I'm wrong)
prime number between 60 and 80. the tens digit is one less than the ones digit. what is the number
Answer:
67
Step-by-step explanation:
The number of prime numbers between the whole numbers 60 to 80 is 5 which are 61, 67, 71, 73, and 79.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
A prime number is a positive integer having exactly two factors which are 1 and the number itself. Any number that does not follow this is termed a composite number.
The prime number between 60 and 80 is given below.
61, 67, 71, 73, and 79
The number of prime numbers between 60 to 80 is 5 which are 61, 67, 71, 73, and 79.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
During a trip to the mall, Pam spent $12.95 on a purse, $8.50 for a book, and $3.75 for a smoothie at the food court. She also returned a key chain and received a cash refund of $5.00. If Pam had $24.80 at the end of her trip, how much money did she have initially?
$55.00
$30.20
$37.50
$45.00
Answer:
The answer is d
Step-by-step explanation:
I used a calculator and i just took away 5.00 from 24.80(which is 19.8) then added all the other numbers to 19.8
One airplane is at 7,000 feet and is descending 50 feet every second. Another plane is at
1,000 feet and is climbing at a rate of 70 feet per second, How long will it take for the
planes to be at the same heigh
Given:
One airplane is at 7,000 feet and is descending 50 feet every second.
Another plane is at 1,000 feet and is climbing at a rate of 70 feet per second.
To find:
The time taken by planes to reach at the same height.
Solution:
Let x be the number of seconds after which the planes be at the same height.
One airplane is at 7,000 feet and is descending 50 feet every second.
Change in 1 second = -50 feet (Here negative sign means decrease)
Change in x second = -50x feet
Height of first airplane after x seconds is
[tex]f(x)=7000-50x[/tex] ...(i)
Another plane is at 1,000 feet and is climbing at a rate of 70 feet per second.
Change in 1 second = 70 feet
Change in x second = 70x feet
Height of first airplane after x seconds is
[tex]g(x)=1000+70x[/tex] ...(ii)
Equate (i) and (ii), to find the time after which both planes are on the same height.
[tex]7000-50x=1000+70x[/tex]
[tex]7000-1000=50x+70x[/tex]
[tex]6000=120x[/tex]
Divide both sides by 120.
[tex]50=x[/tex]
Therefore, both planes are at the same height after 50 seconds.
WILL GIVE BRAINLEIST HELP ASAP (20 points!!)
hope it helps you pls mark me brainliest pls.
You have received an order for 144 articles. The articles are packed 12 to a box. How many boxes will be needed to fill this order?
Answer:
12 boxes will be needed.
Answer:
12 boxes
Step-by-step explanation:
144/12=12
or
1-12x?=144
2-12x10=120
3-12x2=24
4-120+24=144
A regular hexagon has an area of 750.8cm². The side length is 17cm. Find the apothem.
A. 7.4cm
B. 14.7cm
C. 21.5cm
D. 88.3cm
If cos a= 0.93. Sin 0 =0.26, and tan ß = 0.84, find a + B + 0.
Answer:
77°
Step-by-step explanation:
From the question given above, the following data were obtained:
Cos α = 0.93
Sine θ = 0.26
Tan β = 0.84
α + β + θ =?
Next, we shall determine the value of α. This can be obtained as follow:
Cos α = 0.93
Take the inverse of Cos
α = Cos¯¹ 0.93
α = 22°
Next, we shall determine the value of θ. This can be obtained as follow:
Sine θ = 0.26
Take the inverse of Sine
θ = Sine¯¹ 0.26
θ = 15°
Next, we shall determine the value of β. This can be obtained as follow:
Tan β = 0.84
Take the inverse of Tan.
β = Tan¯¹ 0.84
β = 40°
Finally, we shall determine the value of α + β + θ . This can be obtained as follow:
α = 22°
θ = 15°
β = 40°
α + β + θ = 22 + 40 + 15
α + β + θ = 77°
Help please !!!
A. 90
B. 45
C. 0
D. 1
Answer: C.0
x + 45 is the angle outside the circle of shield 2 arcs with measurements 55 and 145
=> x + 45 = 1/2.(145 - 55)
⇔ x + 45 = 1/2. 90
⇔ x + 45 = 45
⇔ x = 0
Step-by-step explanation:
What is the perimeter of the quadrilateral below?
Answer:
[tex]\boxed{26}[/tex]
.
Step-by-step explanation:
First step, find the value of tilted line. use pythagoras
[tex]c^2 = a^2 + b^2[/tex]
[tex]c^2 = 3^2 + 4^2[/tex]
[tex]c^2 = 9 + 16[/tex]
[tex]c^2 = 25[/tex]
[tex]c = \sqrt{25}[/tex]
[tex]c = 5[/tex]
.
So, the primeter is
[tex]= 2(5) + 4 + 12[/tex]
[tex]= 26[/tex]
can someone please answer this i Dont understand
Answer:
C
Step-by-step explanation:
Going by order of PEMDAS (parenthesis, exponents, multiplication, division, addition, subtraction), you add the 2 and the 9 first due to them being in parenthesis. You then multiply by 5.
plsss answer ASAP i really need this fast
Answer:
650
Step-by-step explanation:
13 into 70 goes 5 times.
5×13=65
13 into 2 goes 0 times.
0×13=0
.•. answer is 650
Answer:702
Step-by-step explanation:
The answer is 254.You see how many time 702 goes into 13 and its 54 .We already have the 50 so there is the 4.
Write the following numbers in order of size.
Start with the smallest number.
-4
5
0
-2
3
The ratio of boys to girls in 6th grades is 5 to 4. If there are 90 boys, how many girls would there be?
pls help this is not graded
Answer:
70 degrees
Step-by-step explanation:
A company tested their new golf ball by having 202020 professional golfers each hit 100100100 shots with the company's new ball and 100100100 shots with the golfer's current ball (in a random order). The labels were removed, so the golfers didn't know which balls were which. The golfers, on average, hit their shots significantly farther with the new ball. The company cites this study in an advertisement claiming that this new ball will help all golfers hit farther shots. Why is the company's claim not appropriate
Answer: it only included professional golfers
Step-by-step explanation:
It said it was right
The company's claim is incorrect. Only professional golfers took part.
What is the professional golfers?The Head Golf Professional is responsible for continuously developing and implementing all service standards through careful hiring and employee training. Furthermore, he or she is in charge of maximizing income in all aspects of the golf operation while staying within the allocated budget.
There's a lot more to being a professional golfer than meets the eye. For example, did you know that their hourly wage is $18.81 on average? That works out to $39,134 per year! Between 2018 and 2028, the career is expected to grow 11%, resulting in 30,500 job openings nationwide.
To be certified as a professional golfer by the PGA, you must either have a bachelor's degree in a related discipline, such as professional golf management, or have completed the PGA professional golf management apprenticeship program.
To learn more about professional golfers refer to:
https://brainly.com/question/13800403
#SPJ2
A right triangle has one angle that measures 24°. What is the measure of the other acute angle?
Answer:
The measure of the other angle is 66°.
Step-by-step explanation:
Given that the total angles in a triangle is 180° so in order to find the other angles, you have to subtract :
90° + 24° + θ = 360°
114° + θ = 180°
θ = 66°
PLEASE HELP IT WOULD MEAN A LOT THX! :(
does anyone know algebra? if so, I can really use your help.
Answer:
yea sure
Step-by-step explanation:
Help me please i need help.
How do I know if the function is a linear function?
Answer:
This is not a linear function.
Step-by-step explanation:
It is a quadratic function. If you were to make a table of the x and y values of the function it would look like this:
x y
0 -4
1 -1
2 8
Just by looking at these three values, we can see that they do not increase at a consistent rate. It increases by 3 from 0 to 1, but increase by 9 from 1 to 2. You can tell if a function is linear by seeing if it increases at a constant rate. (In this case it does not)
what is the distance from the origin to point A graphed on the complex plane below
Answer:
Coordinates of point A are
(-3,-2)
Origin lies in the center of coordinate system. That means that you can picture this as right triangle with sides 3 and 2 and you need to find hypotenuse of it.
Using pythagoras theorem we calculate:
h^2 = 3^2 + 2^2 = 13
h = sqrt 13
Answer is b
Step-by-step explanation:
Coordinates of point A are
(-3,-2)
Origin lies in the center of coordinate system. That means that you can picture this as right triangle with sides 3 and 2 and you need to find hypotenuse of it.
Using pythagoras theorem we calculate:
h^2 = 3^2 + 2^2 = 13
h = sqrt 13
Answer is b
Solve the equation.-7=y/7
Answer:
y = -49
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
-7 = y/7
Step 2: Solve for y
Multiply 7 on both sides: -49 = yRewrite: y = -49In Sam’s art class, 12% of the Flag Day art projects received a perfect score. There were 25 art projects turned in by Sam’s class. How many of the art projects did not earn a perfect score?
need a good answer, lots of details
Answer:
22 projects did not receive a perfect score
Step-by-step explanation:
12% or 25 is 3, meaning 3 got perfect scores. You would subtract 3 from 25 to get the amount of projects that didnt get a perfect score.
Answer:
52%
Step-by-step explanation:
25 x 4 =100
12 x 4 =48
100-48=52