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
https://brainly.com/question/29964992
#SPJ2
10) in a school there are 1500 students. if 60% are boys, find the numbers of boys.
Answer:
there are 900 boys in the school
15/100*1500
WILL MARK BRAINLIEST!
simplify 4b²−2b+7b−6b+1
Answer:
=4b^2−b+1
Step-by-step explanation:
4b2+−2b+7b+−6b+1
4b2+−2b+7b+−6b+1=(4b2)+(−2b+7b+−6b)+(1)
=4b^2−b+1
4b²−2b+7b−6b+1
solution:first combine light terms.
[tex] {4b}^{2} - 2b + 7b - 6b + 1[/tex]
light terms equal:
[tex] - 2b + 7b - 6b[/tex]
let's solve:
[tex] {4b}^{2} - 2b + 7b - 6b + 1[/tex]
[tex] = { 4b}^{2} - b + 1[/tex]
does anyone know where to find this packet or the answers to this
Answer:
look up the packet name and after that put answer key
Step-by-step explanation:
.
Anybody help with the question, please?
Write the equation for a parabola translated horizontally 5 units to the left.
what is an equation of the line in the slope- intersepct is (0,3)
Answer:
using the formula x/a + y/b =1
a: slope intercept on the x axis
b:slope intersect on the y axis
x/0 + y/3 = 1 (since x/0 is undefined ,the slope doesn't exist and it is impossible for a slope to be linear)
I need help on 1,2 and 4
Answer:
1. 279,936
2. 727
4. 4,096
For my Homework tomorrow
Với n là số tự nhiêm, xét đinh lí " nếu n là số tự nhiên lẻ, thì n^2-1 chia hết cho 8". Định lí trên được viết dưới dạng P->Q
a. hãy xác định mệnh đề P và Q
b. Phát biểu định lý trên bằng cách sử dụng điều kiện cần
Answer:
Ewan
Step-by-step explanation:
ewan ko na po sorry po at
kasi hindi kopo maintindihan
tapus hindi naman po ako
magaling
Suzie looked at the diagram at right and wrote 134%=134/200. Is she correct?
Answer:
no.
Step-by-step explanation:
134% is 134/100, or 1.34
The cost (c) to buy gasoline for a car varies directly to the amount of gas (g) in gallons purchased. Helen spent $16.72 on 8 gallons of gas for her car. Nathan is buying the same gasoline, but only has $10.45 to spend. How many gallons of gas can Nathan buy? How do you know?​
Answer:
5 gallons
Step-by-step explanation:
1) How much did Helen spend per gallon?
16.72/8 = $2.09/gallon
2) 2.09g = 10.45
10.45/2.09 = g
4. Each morning you do a combination of aerobics, which burns about 12 calories per
minute, and stretching, which burns about 4 calories per minute. Your goal is to burn
416 calories during a 60-minute workout. How long should you spend on each type of
exercise to burn the 416 calories?
22 minutes is spent doing aerobics and 38 minutes doing stretching
Let x represent the amount of time spent doing aerobics, Let y represent the amount of time spent doing stretching.
Since the goal is to do a 60-minute workout, hence:
x + y = 60 (1)
Also, 416 calories needs to be burnt hence:
12x + 4y = 416 (2)
We need to solve equation 1 and 2 simultaneously; multiply equation 1 by 4 and subtract the result from equation 2, hence:
8x = 176
x = 22 minutes
Put x = 22 in (1)
22 + y = 60
y = 38 minutes
Therefore 22 minutes is spent doing aerobics and 38 minutes doing stretching.
Find out more at: https://brainly.com/question/16763389
compro una bicicleta y pago en tres cuotas. En el primer tramo pago 3/10 del total, en el segundo pago 4/5 del resto, y en el tercero solo tengo que pagar 21 $. ¿Cuánto cuesta la bicicleta?
6-x-3=4x+12 solve for x
Answer: x =-9/5
Step-by-step explanation:
Connie Hamm demonstrates microwave ovens at a home décor center . She is paid $35.00 per demonstration for the first 10 demonstrations and $ 45.00 for each demonstration over 10. Also , for every microwave sold , she earns $ 20.55 . What is Hamm's commission on a day in which she makes 12 demonstrations and 4 sales ?
Which expression uses the greatest common factor to rewrite 18+6
Answer:
18+6=24
Step-by-step explanation:
HELP ME PLEASE
7. When Mrs. Santo lived in China, temperature was measured in Celsius. She constantly had to convertir
Celsius to Fahrenheit until she started learning Celsius temperatures and how warm they are.
The formula to convert from Celsius to Fahrenheit is F = = C) + 32
The mean temperature for one month was 34°C and the standard deviation was 2.27.C. Applying what
know about multiplying by a constant and adding a constant, what was the mean and standard deviation
Fahrenheit? Be sure to show your work for both the mean and the standard deviation.
Answer:
Mean: [tex]93.2\; \rm ^{\circ} F[/tex].
Standard deviation: [tex]4.086\; \rm ^{\circ} F[/tex].
Step-by-step explanation:
Consider a random variable [tex]X[/tex] with mean [tex]\overline{X}[/tex] and variance [tex]{\rm Var}(X)[/tex].
If a random variable [tex]Y[/tex] is obtained by linearly transforming [tex]X[/tex] for some constants [tex]m \ne 0[/tex] and [tex]b[/tex], then the mean of [tex]Y\![/tex] would be:
[tex]\overline{Y} = m\, \overline{X} + b[/tex].
[tex]\mathrm{Var}(Y) = m^{2} \, \mathrm{Var}(X)[/tex].
The standard deviation of a random variable is the square root of its variance. Therefore, the standard deviation of [tex]Y[/tex] would be:
[tex]\begin{aligned}\mathrm{SD}(Y) &= \sqrt{\mathrm{Var}(Y)} \\ &= \sqrt{m^{2}\, \mathrm{Var}(X)} \\ &= m\, \sqrt{\mathrm{Var}(X)} \\ &= m\, \mathrm{SD}(X)\end{aligned}[/tex].
In this question, the random variable [tex]F[/tex] is obtained by linearly transforming [tex]C[/tex] using the constants [tex]m = (9/5)[/tex] and [tex]b = 32[/tex]. That is:
[tex]F = (9/5)\, C + 32[/tex].
It is given that mean [tex]\overline{C} = 34[/tex] while standard deviation [tex]\mathrm{SD}(X) = 2.27[/tex]. The mean and standard deviation of [tex]F[/tex] obtained from the linear transformation would be:
[tex]\begin{aligned}\overline{F} &= m\, \overline{C} + b \\ &= (9/5) \times 34 + 32\\ &= 93.2\end{aligned}[/tex].
[tex]\begin{aligned}\mathrm{SD}(F) &= m\, \mathrm{SD}(C) \\ &= (9/5) \times 2.27 = 4.086\end{aligned}[/tex].
Thus, when measured in degrees Fahrenheit, the corresponding mean would be [tex]93.2\; \rm ^{\circ} F[/tex] and and standard deviation would be [tex]4.086\; \rm ^{\circ} F[/tex].
Given segment AX with point Q between A and X. AX = 25. AQ = 2y + 1. QX = 3y - 1.
We can set up an equation to solve for y using the fact that
y =
AQ =
QX =
Q
Answer:
y=5
AQ=11
QX=14
Q is not a midpoint
Step-by-step explanation:
A line segment can be divided into equal or unequal segments
The values of x, AQ and QX are 5, 11 and 14.
The given parameters are:
[tex]\mathbf{AX = 25}[/tex]
[tex]\mathbf{AQ = 2y + 1}[/tex]
[tex]\mathbf{QX = 3y - 1}[/tex]
[tex]\mathbf{AX = 25}[/tex] can be rewritten as:
[tex]\mathbf{AQ + QX =25}[/tex]
Substitute values for AQ and QX
[tex]\mathbf{2y + 1 + 3y - 1 =25}[/tex]
Execute like terms
[tex]\mathbf{5y =25}[/tex]
Divide both sides by 5
[tex]\mathbf{y =5}[/tex]
Substitute 5 for y in [tex]\mathbf{AQ = 2y + 1}[/tex] and [tex]\mathbf{QX = 3y - 1}[/tex]
[tex]\mathbf{AQ = 2 \times 5 + 1 = 11}[/tex]
[tex]\mathbf{QX = 3 \times 5 - 1 = 14}[/tex]
Hence, the values of x, AQ and QX are 5, 11 and 14.
Read more about line segments at:
https://brainly.com/question/18983323
how can you solve this problem? 3x + 14 = 59. solve for x.
Answer:
x = 15
Step-by-step explanation:
3x + 14 = 59
subtract 14 from both sides
3x = 45
divide both sides by 3
x = 15
Answer:
15
Step-by-step explanation
Subtract 14 from both sides and the do 45 divided by 3 and it gives you your answer 15
Ryan has a weekend job advertising an upcoming play. He has two options for being paid. Option
A is an hourly wage of $ 7.75. Option B is a 5% commission on all money made at the play. He
plans to work 7 hours each day on Saturday and Sunday. Ryan estimates the play will make about
$2,100 this weekend. Which option gives Ryan more earnings this weekend?
Choose the correct answer below.
0.4. Option A gives Ryan more earnings this weekend.
ОВ. Option B gives Ryan more earnings this weekend.
OC. Both options give Ryan the same amount of earnings.
Answer:
Option B gives Ryan more earnings this weekend
Step-by-step explanation:
Option A = $7.75×7 hours= $54.25
Option B= 5% commission, if the play gets $2100, he will earn $105
ASAPPPPPO due at 11:59pm
Answer:
Part 1 : 22
Part 2 : 34
Step-by-step explanation:
8 1/4 = 4b - 3/4
2 step equation
At 109°F, a certain insect chirps at a rate of 77 times per minute, and at 117°F, they chirp 101 times per
minute. Write an equation in slope-intercept form that represents the situation.
The equation that represents this situation is
Answer:
y=3x-250
Step-by-step explanation:
Slope intercept form: y=mx+b
Step 1) to find slope, use (y2-y1)/(x2-x1)
(101-77)/(117-109) = 3
m = 3
Step 2) determine y-intercept (b)
109 * 3 = 327
77-327 = -250
b=-250
y=3x-250
help please, i don’t understand
Need help ASAP! Directions in picture ;)
Answer:
x=5
Step-by-step explanation:
Liz is shopping for a game system. Two competing stores offer deals on the system that she wants to purchase.
Where should Liz shop? Show all of your work and explain your reasoning.
Answer:
Liz should shop at the store with the item with a reasoning price in other words the one that costs less.
Step-by-step explanation:
You didn't give the stores prices but that would be what I would think.
it takes tania 1 1/4 hours to beat a level of her video game. Last week she played for 7 1/2 hours. How many levels did she beat last week
Very urgent!!!!!
The first term of an AP is 6 and the 5th term is 18.find the number of terms in the series having a sum of 162....
With workings
And explanation
Thanks
Answer:
number of terms=9
Step-by-step explanation:
[tex]t_{1}=6\\t_{5}=18\\\\t_{n}=t_{1}+(n-1)d\\18=6+(5-1)d\\18-6=4d\\4d=12\\d=12/4=3\\s_{n}=162\\s_{n}=\frac{n}{2}[2t_{1}+(n-1)d]\\162=\frac{n}{2}[2(6)+(n-1)3]\\162 \times 2=n(12+3n-3)\\324=n(3n+9)\\3n^2+9n-324=0\\n^2+3n-108=0\\n^2+12n-9n-108=0\\n(n+12)-9(n+12)=0\\(n+12)(n-9)=0\\n=-12,9\\n=-12 (rejected)[/tex]
as number of terms can't be negative.
Answer:
PLS MARK BRAINLIEST
Step-by-step explanation:
Sn = n/2(2a+(n-1)d)
a=6
a+ 4d= 18
6 +4d= 18
4d = 12
d = 3
162= n/2(12+(n -1)3)
324=n(12 + 3n-3)
324=12n + 3n^2 - 3n
3n^2 + 9n-324=0
3n^2+ 36n-27n -324 =0
3n(n+12) -27(n+12)= 0
3n-27 =0; n+ 12=0
n=9 ; n= -12
since n can't be negative n=9
The number of terms is 9
Help help help please
Answer:
hey there,
<5=130°because of transversal line
What is the value of x in the equation
4z +16
12
= х - 4?
[tex] \frac{4x + 16}{12} = x - 4 \\ = > 4x + 16 = 12(x - 4) \\ = > 4x + 16 = 12x - 48 \\ = > 16 + 48 = 12x - 4x \\ = > 64 = 8x \\ = > x = \frac{64}{8} \\ = > x = 8[/tex]
Answer:x = 8
∠A and \angle B∠B are complementary angles. If m\angle A=(7x+23)^{\circ}∠A=(7x+23)
∘
and m\angle B=(5x+19)^{\circ}∠B=(5x+19)
∘
, then find the measure of \angle B∠B.
Since there are complementary angles, the value of angle B is 39°.
Angle A = 7x + 23°
Angle B = 5x + 19°
It should be noted that the total angles in a complementary angle are equal to 90°.
Therefore, we need to add angle A and B together and then equate them to 90°. This will be:
7x + 23° + 5x + 19° = 90°
Collect like terms
12x + 42° = 90°
12x = 90° - 42°
12x = 48°
x = 48°/12
x = 4°
Angle A = 7x + 23° = 7(4) + 23° = 28° + 23° = 51°
Angle B = 5x + 19° = 5(4) + 19° = 20° + 19° = 39°
The value of angle B is 39°.
Read related link on:
https://brainly.com/question/24963009