I guess the chef is making the mixture for the sheriff... Let x be the amount of dressing with 5% vinegar that is required, and y the amount of 15% vinegar dressing (both amounts in mL).
The sheriff wants 390 mL of the mixed dressing, so that
x + y = 390
x mL of the 5% dressing contains 0.05x mL of vinegar, while y mL of the 15% dressing contains 0.15y mL of vinegar. The resulting mixture should have a concentration of 9% vinegar, so that it contains 0.09 (390 mL) = 35.1 mL of vinegar. This means
0.05x + 0.15y = 35.1
Solve for x and y :
y = 390 - x
0.05x + 0.15 (390 - x) = 35.1
0.05x + 58.5 - 0.15x = 35.1
23.4 = 0.10x
x = 234
y = 156
What is m% of n? Also what is m% of p% of n?
Answer:
mnp/10000
Step-by-step explanation:
Same reasoning as above, but 100*100 is 10000 so there you go
A deposit of $1000 is made in an account that earns 8% interest compounded quarterly. The balance in the account after n quarters is given by the following sequence. Find the balance in the account after ten years.
a
=100.000)
n=1,2,3
The balance after ten years.
The balance after ten years is $2,208.04.
When an amount of money is compounded quarterly, it means that the amount deposited and the interest earns interest every quarter. The formula that can be used to determine the balance in 10 years is:
FV = P (1 + r)^nm
FV = Future value P = Present value = $1000 R = interest rate = 8%/4 = 2% m = number of compounding = 4 N = number of years = 10$1000 x (1.02)^40 = $2,208.04
To learn more about future value, please check: https://brainly.com/question/18760477
The designers of a new website expect the number of visitors to the site to double each month. There were 600 visits to the site the first month. Which function can be used to predict the number of visitors during month m
The exponential function used to predict the number of visitors during month m is [tex]y = 600(2)^m[/tex]
An exponential function is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the factor.
Let y represent the number of visitors during month m.
There were 600 visits to the site the first month and they double each month, hence:
a = 600, b = 2
The exponential function is given by:
[tex]y = 600(2)^m[/tex]
Find out more on exponential function at: brainly.com/question/2456547
A tree is 6 feet 7 inches tall. How tall is it in inches?
Answer:
79 inches
Step-by-step explanation:
1 foot equals 12 inches
6 feet = 6*12 = 72 inches
72+7=79
79 inches
what is the answer to this question?
posted a picture for better understanding:)
Answer:
-1.5 + 27
25.5
Step-by-step explanation:
-1.5 + 1 + 1.5 + 2 + 2.5 + 3 + 3.5 + 4 + 4.5 + 5
Decide whether the following statement makes sense or does not make sense. The weights of babies born at Belmont Hospital are normally distributed with a mean of 6.8 pounds and a standard deviation of 7 pounds.
Answer:
yeah that makes sense to me
Help use photo for questions
A water polo team threw a pizza party after winning the championship. They needed enough pizza for 39 people. Each pizza serves 3 people and costs $14. How much did the pizza cost all together?
Answer:
Step-by-step explanation:
39 people / 3 people /pizza = 13 pizzas
13 pizza($14 / pizza) = $182
Ella is reading a map with a scale of 1 in. = 20 mi. On the map, the distance Ella must drive is 4.25 in.
How many miles will Ella drive?
Answer:
85 milesStep-by-step explanation:
Solve by proportions:
1 in ⇒ 20 mi4.25 in ⇒ xx = 4.25*20 / 1 = 85 mi
Scale is 1in =20mi
Distance in map=4.25in
Actual distance
4.25(20)85miFind the x and y intercepts of y=-x-8
Answer:
anyone wants to have fun with indian girl ?
Function 1 is defined by the equation y=-1/4r-5
Step-by-step explanation:
and what is function 2 ?
but I think I can risk a guess based on the little piece of the graph I can see.
the y-intercept is simply the point on the y-axis (that means x=0), where the line crosses.
in other words, it is the y-value when x = 0.
the y-intercept of function 1 is therefore -5.
and the picture suggests that the visible line would cross the y-axis at about y=-6.
as -5 is greater than -6, function 1 has the greater y-intercept.
5. (5 points) Write the first 5 terms of the sequence if a1 = 9 and an-1 +n
Answer:
9,4,-1,-6,-11
Step-by-step explanation:
When n = 1: a(1+1) =a(1) +1
a(2) = -9 +1
a(2) = -8
When n = 2: a(2+1) =a(2) + 2
a(3) = -8 + 2
a(3) = -6
When n = 3: a(3+1) = -6 + 3
a(4) = -3
What is log Subscript 5 Baseline (4 times 7) + log Subscript 5 Baseline 2 written as a single log?
log5(4*7)+log5(2)=log5(28)+log5(2)=log5(56)
Answer:
Its D
Step-by-step explanation:
just took the test
-
Point K is on line segment JL. Given JK = 3 and KL = 8, determine the length
JL.
Answer:
JL = 11 units
Step-by-step explanation:
Add the units between JK and KL together to get the answer for JL
What do we call these types of fractions?
1/2 and 5/10
Answer:
Proper Fractions.
Step-by-step explanation:
These are Proper Fractions because the numerator (1 and 5) is lower than the denominator (5 and 10).
Given f(x)=x2-1/x+4 find f(-3)
Subtract using a vertical format. (5x3 + 5x + 2) − (−5x2 + 2x + 1)
The 11th term of the AP -3, -1/2, 2 . .... is
Given AP is -3 ,-1/2,2,..
First term = -3
Common difference = (-1/2)-(-3)
⇛d = (-1/2)+3
⇛d = (-1+6)/2
⇛ d = 5/2
We know that nth term = an = a+(n-1)d
11th term = (-3)+(11-1)(5/2)
⇛a 11 = -3+(10)(5/2)
⇛a 11 = -3+(5×5)
⇛a 11 = -3+25
⇛ a 11 = 22
11th term of the AP = 22.
also read similar questions: The 3 rd term of an AP is 3 and 11th term is -21, find its first term and common difference....
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The 4th term of ap is 10 and the 11th term of it exceeds 4th term by 1 find the sum of 20 terms ....
https://brainly.com/question/18757022?referrer
Answer:
2
Step-by-step explanation:
initial term = -3
common difference = .5
-3 + .5 for 11 times from 3 = positive 2
how many times as large is the 4 in the tenthousands place as the 4 in the ones place
Please helpppp quick
Answer:
x<-4
Step-by-step explanation:
The arrow shows an open circle around -4 meaning it's not equal to -4. And we see the arrow going left, meaning x<-4.
Hope this helps :^)
Answer:
x<-4
Step-by-step explanation:
There is an open circle where -4 is, so the maximum would be -5. There would be no minimum, so you can say that x is less than -4.
Please answer: The Maxwell children have hired a caterer to provide food for an anniversary party for their parents. The caterer has quoted a price of $96 per person and is asking for an advance payment of one-fourth of the total bill. If the advance payment is $1200, how many guests are invited to the party?
In the exercise Maxwell children want to calculate the estimated amount or budget placed on one person coming to the anniversary party for their parents.
The number if guest will be 50 guests
Given data
quoted price = $96 per person
Let the total bill be x
one-fourth of the total bill = 1/4*x
advance payment is $1200 = 1/4x------------1
Let us find the total bill which is x
$1200 = 1/4x
cross multiply
1200*4 = x
x = 4800
if the budget per person is $96
Hence the total expected guest will be = 4800/96
50 guests
Learn more about algebra here :
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Complete the process of solving the equation.
Fill in the missing term on each line. Simplify any fractions.
9W + 1 = 19
9w =
Subtract 1 from both sides
W =
Divide both sides by 9
Answer:
see explanation
Step-by-step explanation:
9W + 1 = 19 ( subtract 1 from both sides )
9W = 18 ( divide both sides by 9 )
W = 2
help wit this please
Answer:
1: Out: 5, 8, 11, 14
2: Out: 2, 7, 10, 11
3: Out: 11 Rule: Add 4
4: Out: 6 Rule: Add 4
Professor Lee Xiao teaches an online class. She is paid $2,409 for up to 25 students,
plus an extra of $136 for every student beyond 25.
Professor Xiao is paid $3,262 for the class. How many students did she have? (Round
to the nearest integer).
acha
Answer:
25 + 6 = 31
Step-by-step explanation:
Her actual pay is 3262
Her base rate is 2409 Subtract to get the amount over the base
Amount of + 25 853
So how many student more does that amount to?
853 / 136 = 6.27
If you have to round to the nearest integer, the answer is 6.
A courtyard has the shape of a rectangle 45 ft and 28 ft wide. How long is a sidewalk from one corner diagonally to the opposite corner?
56 ft
47 ft
50 ft
53 ft
Answer:
53
Step-by-step explanation:
We use the pythagorean theorem, a^2 + b^2 = c^2. We can fill a and b for 45 and 28. 45^2 is 2025, and 28^2 is 784. Adding them up gives us 2809. The square root of 2809 is 53.
Exercise on Properties/Laws of Sets Simplify each of the following identities to its simplest form, using the laws of sets; (i) (An B) U (AU B')'
(ii) An (AUB)
(iii) (CUA N (BUA)
A rectangle has a length of 25 meters less than 6 times it’s width. If the are of the rectangle is 261 square meters, find the length of the triangle
4/k =8/3 what is k?
Answer:
1.5
Step-by-step explanation:
4 x 2 = 8, so k x 2 = 3
3 / 2 = 1.5
please help before it's Monday
Answer:
Mateo's data shows a negative association
Step-by-step explanation:
Okay, so the y-axis is his amount of typos. The x-axis is the number of pages.
We can clearly see the typos found number increasing through the number of pages. Which is bad :/
Hope this helps :)
5. Find the value of x.
17x – 18
7x
if 17x-18=7x
then 17x-7x=18
10x=18
x=1.8
