A box of chocolates contains bars of milk chocolate and dark chocolate. The weight of each bar of milk chocolate and dark chocolate is 150 ounces and 100 ounces respectively. If the number of bars of dark chocolate is 12 more than the number of bars of milk chocolate, and the total weight of the chocolates in the box is 2950 ounces, find the number of bars of milk and dark chocolate.
Answer:
7 milk chocolate
19 dark chocolate
Step-by-step explanation:
It is 2950 ounces in total, and dark chocolate is 100 ounces per bar and milk chocolate is 150 ounces per bar. There are 12 more dark chocolate bars so I multiplied 12 by 100 and that was 1,200. Then I took 2,950-1200=1,750. From there I subtracted 150 and 100 till I got to 0.
Number of bars of milk chocolate: 17
Number of bars of dark chocolate: 29
Let's use algebraic equations to solve the problem. Let's denote the number of bars of milk chocolate as "x" and the number of bars of dark chocolate as "y."
1. Weight equation: The total weight of the chocolates in the box is 2950 ounces.
We can express this as an equation:
150x + 100y = 2950
2. Quantity equation: The number of bars of dark chocolate is 12 more than the number of bars of milk chocolate.
We can express this relationship as:
y = x + 12
Now, we have a system of two equations with two variables:
Equation 1 : 150x + 100y = 2950
Equation 2 : y = x + 12
To find the values of x and y, we can use substitution or elimination. Let's use substitution in this case.
From Equation 2, we can substitute the value of "y" in terms of "x" into Equation 1:
150x + 100(x + 12) = 2950
Now, we can solve for "x":
250x + 1200 = 2950
250x = 1750
x = 7
Now that we have the value of "x," we can find the value of "y" using Equation 2:
y = x + 12
y = 7 + 12
y = 19
So, the number of bars of milk chocolate (x) is 7, and the number of bars of dark chocolate (y) is 19.
To know more about Algebraic Equations here
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Juan earns 52 dollars per week
working part-time at a book store.
He makes one dollar more for each
book that he sells. The amount, A
(in dollars), that Juan
earns in a week if he sells b books
is given by the following.
A=52 + b
How much does Juan earn in a
week if he sells 37 books?
Answer:
the answer is 89
Step-by-step explanation:
52 plus 37 = 89
Answer:
89 books
Step-by-step explanation:
he sells 37 books so we do 52+37 and get 89
Ms. Janis teaches math to 254 students each day. she grades one paper for each student each day. if Ms. Janis teaches for 25 days this month, how many papers does she grade?
please help me
Answer:
6,350
Step-by-step explanation:
254 times 25 is 6,350
Answer:
6350 Papers
Step-by-step explanation:
254 x 2 = 508
508 x 10 = 5080
(This is basically 254 x 20)
254 / 2 = 127
127 x 10 = 1270
(This is basically 254 x 5)
5080 + 1270 = 6350
6x/6 = −42/6
please answer
Answer:
x = -7?
Step-by-step explanation:
how?
the last screenshot couldn't fit so: 6x/6 = -42/6
Consider the two linear expressions.
−(−12−6x−3) and 3.5−6x
Are the two linear expressions equivalent?
Drag a word or phrase to the box to correctly complete the statement.
The expressions are Response area.
The option "not equivalent" (2 of 2) has been grabbed. Press tab to choose where to drop it. Drop it by pressing the spacebar key. Cancel the operation by pressing escape.
Is it equivalent or is it not equivalent pick one
Answer:
Step-by-step explanation:
−(−12−6x−3)
= 12 + 6x + 3
= 6x + 15.
So 3.5 − 6x is not equivalent to −(−12−6x−3)
Both linear equations are not equivalent to each other and this can be determined by evaluating the equation (-(-12 - 6x - 3)) by using the arithmetic operations.
Given :
Equations --- -(-12 - 6x - 3) and (3.5 - 6x)
The following steps can be used in order to determine the given equations are equivalent or not:
Step 1 - Write the given equations.
=−(−12−6x−3) ---- (1)
= (3.5 − 6x) ---- (2)
Step 2 - Multiply -1 by (−12−6x−3) in the equation (1).
= 12 + 6x + 3
Step 3 - Add 12 and 3 in the above expression.
= 6x + 15 ---- (3)
Step 4 - Now, compare equation (2) and equation (3).
6x + 15 [tex]\neq[/tex] 3.5 - 6x
So, from the above steps, it can be concluded that both linear equations are not equivalent to each other.
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how would you write 9x(4+9)= in distributive proparty?
Answer:
117
Step-by-step explanation:
not sure if the x after the 9 was a variable of the letter x or multiplication i put it as multiplication.
Determine the intercepts of the line. Do not round your answers. 2 x + 5 y = − 6
The y-intercept for the line, 2x + 5y = -6, is: 1.2.
Equation of a Line in Slope-Intercept FormThe equation of a line can be represented in slope-intercept form as: y = mx + b."b" is the y-intercept.Given:
2x + 5y = -6
Rewrite in slope-intercept form
5y = -2x - 6
Divide both sides by 5y = -2/5x - 6/5
"b" = -6/5 = 1.2
Therefore, the y-intercept for the line, 2x + 5y = -6, is: 1.2.
Learn more about y-intercept on:
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ALRIGHTY, HELP AGAIN! YOU'LL GET BRAINLIEST IF YOU'RE RIGHT! HERE'S THE PICTURE!
Answer:
B. (2, -6)
Sorry if you don't need this anymore...
What is the = to 5x+ 7 =42 please give details
Answer: x = 7
Step-by-step explanation:
5x + 7 = 42
We then take 7 away from both sides:
5x = 35
Then, we need to make it so x = answer. To make 5x into x, we divide by 5 meaning that we next need to divide both sides by 5.
x = 7
Find the measure of each angle indicated.
A) 21°
C) 23
E) 25°
B) 80°
D) 20°
Answer:
D) 20⁰
Step-by-step explanation:
EDF = 180-100=80⁰
EFD= 80⁰+80⁰=160⁰
180⁰-160⁰=20⁰
Answer:
I would say D, 20°
Step-by-step explanation:
angles on a straight line should be equal to 180°. so 180 -100 = 80° inside.
angles inside a triangle should also be 180. So, 80° + 80° =160°. to get the other angle subtract 160 from 180 to get 20°
plz help no one will help me
Answer:
left
domain -7 =<x< 10
range -8 to 5
right
domain -7<x<=9
range -7<Y<=5
Write the equation of a line passing through point (9, 7) and is parallel toy=43x+6. (Place your answer in slope intercept form and do not use spaces in your answer).
I don't know I don't know
A wire 22 cm long is cut into two pieces. The longer piece is 4 cm longer than the shorter piece. Find the length of the shorter piece of wire
how do you decide which rational number operations to use to solve the problems?
Answer:
The process of "choosing the operation" involves deciding which mathematical operation (addition, subtraction, multiplication, or division) or combination of operations will be useful in solving a word problem.
Step-by-step explanation:
On a farm there are dogs and chickens. There are a total of 17 animals and 48 legs. How many chickens and dogs are on the farm
Answer:
7 dogs and 10 chickens
Step-by-step explanation:
dogs have 4 legs, chickens have 2 legs. 7 dogs which would be 28 legs and 10 chickens which would be 20 legs adds up to 48 legs
find three consecutive even integers whose sum is 72
The required numbers are 22,24,26.
At Barton High School, 45 students are taking Japanese and this number is increasing
by 3 students per year. 108 students are taking German, but this is decreasing by 4
Answer:
what's the question to this given data?
In an unknown planet, a rock with a mass of 10 kg has a weight of 20 N. What is the gravitational acceleration of objects near the surface of the unknown planet?
Answer:
The gravitational force between a mass and the Earth is the object’s weight. Mass is considered a measure of an object’s inertia, and its weight is the force exerted on the object in a gravitational field. On the surface of the Earth, the two forces are related by the acceleration due to gravity: Fg = mg. Kilograms and slugs are units of mass; newtons and pounds are units of weight.
You can use Newton’s law of gravitation to get the acceleration due to gravity, g, on the surface of the Earth just by knowing the gravitational constant G, the radius of the Earth, and the mass of the Earth. The force on an object of mass m1 near the surface of the Earth is
F = m1g
This force is provided by gravity between the object and the Earth, according to Newton’s gravity formula, and so you can write
Step-by-step explanation:
Help solve ONLY 8 AND 9 plz
plz answer this question
Answer:
x=26.8
Step-by-step explanation:
HELP ASAP PLEASE DUE TOMORROW!!! THANK YOU :)
Answer:
-155.15
-223.75
Step-by-step explanation:
Transaction 1 was a deposit of 360. The account had nothing in it before that deposit. After the 360 deposit the balance is 360.
Transaction 2 is -22.50. That means 22.50 was withdrawn (taken out) from the account. The balance after transaction 2 is 360 - 22.50 = 337.50.
Before transaction 3 takes place, the balance is 337.50.
After transaction 3 takes place, the balance is lower. It is now 182.35.
The amount of money taken out in transaction 3 is 337.50 - 182.35 = 155.15. Transaction 3 is -155.15.
The balance after transaction 3 is 182.35. The balance after transaction 4 is -41.40 which is lower than 182.35, so transaction 4 is again withdrawing money from the account.
The amount of transaction 4 is:
182.35 - (-41.40) = 223.75
Transaction 4 is: -223.75
Answer:
-155.15
-223.75
Is this pounds or Ounces?
lb:oz
Well... lb is pounds, and oz is ounces, so Maybe it's in both pounds and ounces? For instance, 2 pounds 3 ounces is equal to 35 ounces...
Quadratic shifted left by
1 unit vertical stretch by a
factor of 1.
Answer:
1(x+1)^2
Step-by-step explanation:
What is the asymptote of f(x)=2x-5
Answer:
No asymptote
Step-by-step explanation:
This equation is linear, so it will not have an astmptote.
What is the domain of function p?
p(x)=√x-1 + 2
Answer:
the domain is (x ≥ -1 ) if you need it in interval notation it is (-1, infinity )
PLEASE HELP PLEASE PLEASE HELP PLEASE
Answer:
2
Step-by-step explanation:
it dot number 2 to click
Answer:
0 ≤ months ≤ 12
Step-by-step explanation:
Domain is the x-values and axis, so it is 0 to 12.
Hopefully this helps!
Brainliest please?
Should I add anything for my transformation project or is this bad image I’m so not sure if it’s good or I should add or try again…….
nop its really good
no need to do any changes
Pls help :) need asap :)
Answer:
Step-by-step explanation:
It is not a function, a vertical line passes through two graphed points.
(-1,3) and (-1,2)
Help. How to solve
9d + n = 5r
Answer:
Answer:
n = 4
Step-by-step explanation:
separate the variables
subtract 9 from 5 and you get n=4
Step-by-step explanation:
solve this equation -3x-13=-103
Answer:
[tex] - 3x - 13 = - 103 \: \: \: \times ( - 1) \\ 3x + 13 = 103 \\ 3x = 103 - 13 \\ 3x = 90 \\ x = \frac{90}{3} \\ x = 30[/tex]
simplify -6/3 ÷ 2/-9
Answer:
[tex] \frac{ - 6}{3} \times \frac{ - 9}{2} = \frac{6 \times 9}{6} = 9[/tex]