Answer:
Each snack bar contains 12 carbs and each milk contains 15 carbs.
Step-by-step explanation:
Let M be the carbs in milk and S the carbs in a snack bar.
We are told:
4M + 3S = 96, and
2M + 4S = 78
===
We can eliminate one of the variables and then solve for the other. Let's multiply the second equation by -2 and then add it to the first. This will eliminate the M:
4M + 3S = 96
-4M - 8S = -156
-5S = - 60
S = 12
Each snack bar has 12 carbs. Use either equation to find M. I'll use the second:
====
2M + 4S = 78
2M + 4*(12) = 78
2M + 48 = 78
2M = 30
M = 15
Each milk contains 15 carbs
10a) Beatrice has an income of
$40 000 in one year.
She pays no tax on the first
$10 000 of her income;
10% tax on the next $10 000 of her income;
25% tax on the rest of her income.
Calculate:
a) the total amount of tax Beatrice pays,
b)the total amount of tax as a percentage of the $40 000.
10b) Beatrice pays a yearly rent of $10 800.
After she has paid her tax, rent and bills, she has $12 000.
Calculate how much Beatrice spends on bills.
Answer:
a) $6000 tax
b) 15%
c) $11,200 for bills
Step-by-step explanation:
a)Beatrice pays 10% on the second $10,000 of her income, which is ...
0.10×$10,000 = $1000
and she pays 25% on the amount over $20,000, which tax is ...
0.25×($40,000 -20,000) = $5000
The total amount of tax Beatrice pays on her $40,000 income is ...
$1000 +5000 = $6000 . . . . tax on $40,000
__
b)The tax as a percentage of $40,000 is ...
$6,000/$40,000 × 100% = 15% . . . . percentage of income paid in tax
__
c)The amount left after tax, rent, and bills is ...
$40,000 -tax -rent -bills = $12,000
bills = $28,000 -tax -rent
bills = $28,000 -6,000 -10,800 = $11,200
Beatrice spends $11,200 on bills.
PLZ HELP ASAP
Find the length of X
x = 5
explanation:
3 + 4.5 = 7.5 to get the side of the big triangle
set up a proportion
[tex]\frac{3}{7.5} =\frac{2}{x}[/tex]
3x=7.5(2)..........cross multiply
3x=15.................multiply
x=5.....................divide both sides by 3
Answer:
Step-by-step explanation:
[tex]\frac{3}{2} =\frac{7.5}{x} \\[/tex]
3x = 15
x = 5
Select the correct answer.
Which two ratios are NOT equal?
A.
1 : 6 and 3 : 18
B.
2: 14 and 3: 42
C.
12: 6 and 2: 1
D.
3: 11 and 6: 22
Answer:
B
Step-by-step explanation:
Equal ratios can be found by multiplying/ dividing the parts by the same value.
A
1 : 6 ( multiply both parts by 3 )
= 3 : 18 ← equal ratios
B
2 : 14 ( multiply both sides by 3 )
= 6 : 42 ≠ 3 : 42 ← ratios not equal
C
12 : 6 ( divide both parts by 6 )
= 2 : 1 ← equal ratios
D
3 : 11 ( multiply both parts by 2 )
= 6 : 22 ← equal ratios
72% of 25 students are interested in mathematics how many are not interested in mathematics by moderators.
Answer:
7 students
Step-by-step explanation:
72/100 × 25 students = 18
18 students are interested in mathematics
therefore, 25 - 18 = 7 students are not interested
Use the ALEKS calculator to write9/16
as a decimal rounded to the nearest hundredth.
hospital in California is keeping track of the weight of a newborn baby. A newborn baby gains an average of 1.5 ounces per day. One baby currently weighs 72 ounces. Write an algebraic equation that describes the relationship between the number of days (d) and the total weight of the baby (w).
Fill in the blank for
w =
On average, a newborn drinks about 1.5-3 ounces (45-90 milliliters) every 2-3 hours
Sam, the ranch cook, made sausage and bacon
for breakfast. Each cowboy could choose one
meat, and Sam had just enough. 3 of every 5
cowboys chose bacon. There are 60 cowboys.
How many chose bacon?
Answer:
36
Step-by-step explanation:
60 × 3 ÷ 5 that's basically it :))
36 out of 60 cowboys ahs chosen bacon over sausages.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, Sam, the ranch cook, made sausage and bacon for breakfast.
Each cowboy could choose one meat, and Sam had just enough.
3 of every 5.
Also given that there are 60 cowboys so no. of meat is also 60 as each cowboy could choose one meat.
If 3 of every 5 cowboys chosen meat then the no. of cowboys chosen meat is,
= (3/5)×60.
= 36 cowboys.
learn more about ratios here :
https://brainly.com/question/13419413
#SPJ2
find the degree of the following polynomial and determine whether it is a monomial, trinomial, or none of these.
2x+1
None, it is a binomial because it has 2 terms. The degree is 1.
Hope this helps friend~ ^^
What is the solution of the system of equations?
PLS RESPOND ITS AN EMERGENCY
Answer:
D) (4, -6, -1)
A company makes a profit of $y (in thousand dollars) when it produces x computers, where y is given by the formula = ( − 100)( − 200) for ≥ 0 If 120 computers are produced, the profit will be $3,200,000.
a) Find the value of a.
b) What is the maximum profit the company can make? At this profit, how many
computers should be produced?
(7 marks) c) If the company targets to make at least $4,800,000, what is the range of the
number of computers to be produced?
lol no
just give up in life
The function is used to model real life situation
The value of a is -2000 150 computers must be produced to maximize the profit of $5,000,000 A range of 140 to 160 computers would give the company at least $4,800,000
(a) The value of a
The function is given as:
[tex]\mathbf{y = a(x - 100)(x - 200) }[/tex]
The profit on 120 computers is 3200000.
So, we have:
[tex]\mathbf{3200000 = a(120 - 100)(120 - 200) }[/tex]
[tex]\mathbf{3200000 = -1600a}[/tex]
Divide both side by -1600
[tex]\mathbf{a = -2000}[/tex]
Hence, the value of (a) is -2000
(b) The maximum profit
The function becomes
[tex]\mathbf{y = -2000(x - 100)(x - 200)}[/tex]
Expand
[tex]\mathbf{y = -2000(x\² - 200x - 100x + 20000)}[/tex]
[tex]\mathbf{y = -2000(x\² - 300x + 20000)}[/tex]
Expand
[tex]\mathbf{y = -2000x\² + 600000x - 40000000}[/tex]
Differentiate
[tex]\mathbf{y' = -4000x + 600000}[/tex]
Set to 0
[tex]\mathbf{-4000x + 600000 = 0}[/tex]
Collect like terms
[tex]\mathbf{4000x = 600000}[/tex]
Divide both sides by 4000
[tex]\mathbf{x = 150}[/tex]
Substitute 150 for x in [tex]\mathbf{y = -2000(x - 100)(x - 200)}[/tex]
[tex]\mathbf{y = -2000(150 - 100)(150 - 200)}[/tex]
[tex]\mathbf{y = 5000000}[/tex]
150 computers must be produced to maximize the profit of $5,000,000
c) Range when the target is at least $4,800,000
This means that:
[tex]\mathbf{y \ge 4800000}[/tex]
So, we have:
[tex]\mathbf{-2000x\² + 600000x - 40000000 \ge 4800000}[/tex]
Collect like terms
[tex]\mathbf{-2000x\² + 600000x - 40000000 - 4800000 \ge 0}[/tex]
[tex]\mathbf{-2000x\² + 600000x - 44800000 \ge 0}[/tex]
Divide through by -2000
[tex]\mathbf{x\² - 300x +22400 \le 0}[/tex]
Factorize
[tex]\mathbf{(x - 140)(x - 160) \le 0}[/tex]
Express as inequality
[tex]\mathbf{140 \le x \le 160}[/tex]
A range of 140 to 160 computers would give the company at least $4,800,000
Read more at:
brainly.com/question/25471478
A man with a seven gallon bucket and a four gallon bucket goes to a well to get exactly five gallons of water. He has no container other than the buckets. How can he do it?
1/2(12w+8)-1/8(10w-5) This confuses me very much pls help
Answer:
3 8 + 3 7 divided by 8
Step-by-step explanation:
Which of the following ordered pairs represent points that lie on a horizontal line?A.(−2, 3), (−5, 3)B.(2, 3), (−2, 4)C.(−2, 3), (−2, 4)D.(2, −3), (5, 3)
Answer:
(−2, 3), (−5, 3) lie on a horizontal line. The y value is 3 for both values of x. The line runs parallel to the x axis and 2 steps above.
Step-by-step explanation:
What is the value of C that will make the expression a perfect square trinomial? x2−10/3x+C
Answer:
C = 25/9
Step-by-step explanation:
Consider the perfect square trinomial ...
(x -a)² = x² -2ax +a²
The constant (a²) is the square of half the x-coefficient.
For your trinomial, the square of half the x-coefficient is ...
C = ((-10/3)(1/2))² = (5/3)² = 25/9
15 POINTS, to lazy please help.
Answer:
(2, - 1 )
Step-by-step explanation:
The solution to the system is at the point of intersection of the 2 lines.
They intersect at (2, - 1 ) ← solution
Answer:
1427832.087y4441x6.7
Write 5×100+9×1+3×1/100+7×1/1000 in standard form
Answer:
512.017
Step-by-step explanation:
Just multiply all the numbers and add them as you go along to make one number.
nth term 12 10 8 6 4
Answer:
12-2(n-1).
Step-by-step explanation:
It can be written 12-2n+2=14-2n, so that when n=1, the 1st term is 14-2=12. The 5th term is 14-10=4; the 6th is 14-12=2.
You have already traveled 25 miles. If you continue driving at the same speed, x miles per hour, for 5 more hours, you will travel y total miles. Which equation shows how x and y are related?
A. 5x + 25 = y B. 25 – y = 5x
C. 25x + 5 = y D. 25 – 5x = y
25 miles is the constant. x is the changing factor. x miles per hour for 5 hours is 5x. y is the total amount. This means that our formula is going to be A) 5x + 25 = y.
All of the other options are incorrect.
I hope this helps! :)
BRAINLIEST
Two questions to solve
Please no trolling
Answer:
Step-by-step explanation:
question 13:
the triangle with x is a 30-60-90 triangle which means
x= 17√3
then the traingle with y and z is a 45-45 triangle
z=34
y= 34√2
question 14:
x= 18√3
z=9
y= 18
which letter has rotational symmetry?
I
J
K
L
k has a rotational symmetry
Four bags of puppies show dog food weight 142 pounds what is the weight in one pound of one bag of the puppy chow dog food
Answer:
I think youre trying to ask the weight of one of the bags
Step-by-step explanation:
the answer is 35.5 you take the total weight and divide it by the number of bags hope this helps
what is 2234x44321=?
Answer: 99013114
Step-by-step explanation: Due to the solution to your question. 2234x44321= 99013114. This is because we multiply each digit to its own other digit.
X/2-1/5=x/3+1/4
Plz I need fast
Answer:
X= - 6/20
Step-by-step explanation:
Find the lcm in both sides,,,
Do a cross multiple of the sides,
Which of the following equations have exactly one solution? Choose multiple choices.
Answer:
-5x+12=5x-5
12=5x+5x-5
12+5=10x
17=10x
17/10=×
two and twenty-seven hundredths
Actual number
[tex]\\ \sf\longmapsto 202700[/tex]
Number in words=two hundred and two thousands and seven hundreds
what is the place value of 2 in 842567
Answer:
842567
the answer is thousands
7 is ones
6 is tens
5 is hundreth
2 is thousands
4 is ten thousands
8 is hundred thousands
Hope This Helps!!!
Determine the measure∠d.
14°is the correct answer.
Please mark my answer as brainest and follow me to get the answer faster
Answer:
∡d = 83°
Step-by-step explanation:
∡d is 180 - 97 = 83°
∡d and the 97° angle are supplementary, meaning their sum is 180 degrees
Please, help me with this question
Answer:
x=0
Step-by-step explanation:
2.5^2x = 1
2.5^2x=2.5⁰
2 x = 0
x=0
I'm thinking of a number that is 24 hundred less than half of 860 tens. what is my number?
Answer:
the answer is 4276, hope this helps :)
what is the gcf of 56 and 92
Answer:
im pretty sure its 4!
Step-by-step explanation:
56/4=14
92/4= 23
and i dont think there are any greater numbers that factor into both 56 and 92
hope this helps!
Answer:
4
Step-by-step explanation:
1) Draw factor trees - split numbers into smaller numbers, circle any prime numbers
2) Draw a venn diagram
3) Any circled prime numbers that are the same go in the middle column.
4) Any remaining numbers go in the left or right circle.
5) GCF = multiply everything in middle column.
Hope this made sense! <3