Answer:
273 mL of 5%117 mL of 15%Step-by-step explanation:
Let q represent the quantity of 15% dressing used. Then the amount of 5% dressing is (390 -q). The amount of vinegar in the mix is ...
0.15q + 0.05(390 -q) = 0.08(390)
0.10q = 31.2 -19.5 = 11.7 . . . . . . subtract 0.05(390) and simplify
q = 117 . . . . . . . . . . . . . . . . . . multiply by 10
390-q = 273
The chef should use 273 mL of the first brand (5% vinegar) and 117 mL of the second brand (15% vinegar).
__
Additional comment
You may have noticed that the value of q is (0.08 -0.05)/(0.10 -0.05)×390. The fraction of the mix that is the highest contributor is the ratio of the difference between the mix value and least contributor, divided by the difference between the contributors: (8-5)/(15-5) = 3/10, the fraction that is 15% vinegar. This is the generic solution to mixture problems.
An animal park has lions,tiger an zebras.2/5 of the animals are lions and 3/10 of the animals are zebras. what percentage are tigers?
Answer:
3/10
Step-by-step explanation:
You have to make them the same fraction.
2/5 = 4/10
3/10 =3/10
3/10 + 4/10 = 7/10
10/10 - 10/10 =3/10
3/10 is the amount of tigers.
y is inversely proportional to
[tex]x {3}^{?} [/tex]
y=44 when x=a
Find y when x=2a
[tex]\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\stackrel{\textit{"y" is inversely proportiional to }x^3}{y = \cfrac{k}{x^3}}\qquad \textit{we also know that} \begin{cases} y = 44\\ x = a \end{cases} \\\\\\ 44 = \cfrac{k}{a^3}\implies 44a^3=k~\hfill \boxed{y=\cfrac{44a^3}{x^3}} \\\\\\ \textit{when x = 2a, what is "y"?}\qquad y = \cfrac{44a^3}{(2a)^3}\implies y = \cfrac{44a^3}{8a^3}\implies \blacktriangleright y = \cfrac{11}{2} \blacktriangleleft[/tex]
4. Suppose you have a map of Charlotte where 2
inches equals 4 miles. On the map, the distance
from your house to school if 3.5 inches. How
many miles is this?
Grace and Jackie are both accountants. They each charge their customers an hourly fee for their service, as described below. Grace charges $540 for 18 hours of service. Jackie charges $40 per hour. Who charges more per hour?
Answer:
Jackie
Step-by-step explanation:
Since Grace charges 30 an hour (540 divided by 18 is 30) and Jackie charges 40 and hour, so Jackie would charge more.
One card is selected at random from a deck of card. Determine the probability that card selected is not a 7( simplify your answer)
Answer:
P(~7) = 12/13
Step-by-step explanation:
There are 4 sevens in a normal deck of cards.
Therefore there are 48 cards out of 52 that are not 7.
P(~7) = 48/52 simplified, it is 12/13
the sum of twenty four and forty is nineteen more than a number. what is the number?
im struggling lol
What decimal is 0.77 %
Answer:
0.0077
Step-by-step explanation:
*WILL GIVE BRAINLIEST FOR BEST ANSWER*
Subtract. Write your answer in scientific notation.
(5.6×106)–(1.1×106)
Answer:
447
Step-by-step explanation:
Two sides of a triangle measure 27 inches and 32 inches.
Which could represent the length of the third side?
Answer options:
5 in
59 in
7 in
62 in
Answer:
62 in
Step-by-step explanation:
the Hypotenuse of a triangle is always longer than the two other sides, 27 + 32 is larger than all but one of the options, 62. Making 62 the answer by process of elimination.
A water bottling facility has a mean bottling rate of 33.5 thousand bottles per hour with a standard deviation of 1.92 thousand bottles. A nearby cola bottling facility has a mean bottling rate of 26.2 thousand bottles per hour with a standard deviation of 1.42 thousand bottles. One Wednesday from noon to 1:00 p.m., the water bottling facility bottled 34.9 thousand bottles of water, and the cola bottling facility bottled 26.8 thousand bottles of cola. Which facility increased their efficiency more during that hour
Using z-scores, we have that due to the higher z-score, the water bottling facility increased their efficiency more during that hour.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean.In this problem, the facility with the higher z-score increased their efficiency more during that hour.
For the water bottling facility, we have that [tex]\mu = 33.5, \sigma = 1.92, X = 34.9[/tex], hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{34.9 - 33.5}{1.92}[/tex]
[tex]Z = 0.73[/tex]
For the cola bottling facility, we have that [tex]\mu = 26.2, \sigma = 1.42, X = 26.8[/tex], hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{26.8 - 26.2}{1.42}[/tex]
[tex]Z = 0.42[/tex]
Due to the higher z-score, the water bottling facility increased their efficiency more during that hour.
A similar problem is given at https://brainly.com/question/24663213
consider the following :
[tex]f(x) = {x}^{2} - x + 2 \div x - 2 = x + 1 + 4 \div x - 2[/tex]
which polynomials do you think we should call the divisor,dividend,quotient and remainder ?
Step-by-step explanation:
remainder=4
quotient=x+1
divisor=x-2
dividend=x^2 -x +2
A rectangular field is 350 meters long and 200 meters wide. What is the area of the field in square kilometers? Do not round your answer. Be sure to include
the correct unit in your answer.
0
km
km2
km
The area of the rectangular field is 0.07 square kilometers (km²).To find the area of the rectangular field in square kilometers, we need to convert the given dimensions from meters to kilometers.
To find the area of the rectangular field in square kilometers, we need to convert the given dimensions from meters to kilometers and then calculate the area.
Given:
Length of the field = 350 meters
Width of the field = 200 meters
To convert from meters to kilometers, we divide the measurements by 1000, since there are 1000 meters in a kilometer.
Length in kilometers = 350 meters / 1000 = 0.35 kilometers
Width in kilometers = 200 meters / 1000 = 0.2 kilometers
Now that we have the dimensions of the field in kilometers, we can calculate the area.
Area of the field = Length in kilometers * Width in kilometers
Area of the field = 0.35 kilometers * 0.2 kilometers
Multiplying the values, we get:
Area of the field = 0.07 square kilometers
Therefore, the area of the rectangular field is 0.07 square kilometers.
It's important to include the correct unit in the answer, which is "square kilometers" (km²). This represents the unit for measuring the two-dimensional area. In this case, the area of the field is 0.07 km².
For more such questions on area
https://brainly.com/question/25292087
#SPJ8
A committee is formed consisting of one representative from each of the 4 departments (CS-IS-IT-SW) in the computer science college, where the representative from a department is either the president or one of the two representatives from that department. How many ways are there to form this committee?
Step-by-step explanation:
each department has 3 options for their representative.
and each of these options can be associated with the 3 options of the next department. and so on.
so, we have
3×3×3×3 = 3⁴ = 81
possibilities to firm that committee overall.
Forty minutes of hot yoga and 10 minutes of jumping jacks burns 510 calories. Thirty minutes at hot yoga and 20 minutes of jumping jacks burns 470 calories. How many calories are burned per minute of yoga? How many calories are burned per minute of jumping jacks
Answer:
Step-by-step explanation:
ur answer I have the link
Which name is a correct way to name the tiling?
Answer:
sowing, I'm not sure about the exact answer
Answer:
6^3
Step-by-step explanation:
pls help :) not understanding this thank you!!!
Answer: equals Z
Step-by-step explanation:
simple you do y divided by mass energy
I am greater than 320. You say my number if you start at 324 and count from 10 to 10. I have the same number of tens and ones.
Answer:
344
Step-by-step explanation:
Um..... sorta confusing, but I think you are only allowed to increase by 10 each time, so then you need to add 20 to make 344, where the units digit and tens digit are the same
The first factor has a degree of
2
.
The second factor has a degree of
3
.
The third factor has a degree of
.
The product has a degree of
.
Answer:
first = 2,second= 3
Step-by-step explanation:
F*s= 2*3
= 6
What is 6 3/4 percent of 800
Answer:
answer is 746.
have a nice day and do good in math
In which quadrant does the point (13 , 20) lie? A. Quadrant III B. Quadrant I C. Quadrant IV D. Quadrant II
Answer:
B.
Step-by-step explanation:
The first quadrant is the upper right-hand corner of the graph, the section where both x and y are positive. The second quadrant, in the upper left-hand corner, includes negative values of x and positive values of y. The third quadrant, the lower left-hand corner, includes negative values of both x and y.
HOW DO I FIND QR
PLEASE HELP
Solution: For finding QR we need to apply Pythagoras Theorem
What is Pythagoras Theorem ?
ans : Pythagoras Theorem is the sum of square of two sides which is equal to the third side or the hypotenuse. This formula is valid oy incase of Right-Angled Traingle because one of three angles here is 90°
According to this law let's apply it in the diagram shown here.
(Hypotenuse)² = (Adjacent)² + (Opposite)²(PR)² = (QR)² + (PQ)² (5x - 2)² = (QR)² + (3x - 1)² (QR)² = (5x - 2)² - (3x - 1)²After factorising both of them we get
(QR)² = 25x² - 20x + 4 - (9x² - 6x + 1)(QR)² = 25x² - 20x + 4 - 9x² + 6x - 1(QR)² = 16x² - 14x + 3QR = √(16x² - 14x + 3)So, QR is √(16x² - 14x + 3)
i bought a new comic book at the comic book shoppe and paid enitrely using quarters. If I had paid using only dimes i would have needed to pay 9 more coins. how much did the comic book cost
The comic book cost $1.50.
A quarter is worth .25 cents while a dime is worth .10 cents. This means 9 more coins would be .90 cents since each coin is worth .10 cents.
The difference between $1.50 and .60 cents is .90 cents.
25 x 6 = 150 while 10 x 6 = 60 : 150 - 60 = 90
Hope this helps!!
3) The recipe calls for 6 cups of flour for every 2 1/3 cups of sugar. How many cups of flour
are needed per cup of sugar?
Answer:
Im pretty sure its 3 cups
Step-by-step explanation:
Let ABC ≃DEF. Find mE
The value of mE is blank degree
Answer:
m∠E = 124°
Step-by-step explanation:
Since the triangles are congruent, B and E are automatically congruent, since they are corresponding angles.
First, we must find the value of y.
Set both measures equal to each other.
98 + y = 6y - 32.
Subtract y from both sides.
98 = 5y - 32
Add 32 on both sides.
130 = 5y
Divide 5 on both sides.
y = 26
Substitute y for angle E.
E = 6(26) - 32
E = 156 - 32
E = 124°
Hello there hello hello
Answer:
(-4,-7)
Step-by-step explanation:
The process of a reflection across the y axis is simply just switching the x value in (x,y) to a negative. So, (4,-7) and then make 4, a -4. So the resulting image is (-4,-7)
Answer:
Ah hello!
Step-by-step explanation:
Plsss help!, bRAInLIST!!
solve pls brainliest
Answer:
Mixed number: 8.72=8 72/100
Improper fraction: 8.72= 872/100
Step-by-step explanation:
8 is in the ones place, 7 is in the tenths place, and 2 is in the hundreths place, which makes 8.72. In fractions, that would be 8 wholes, and 72/100, which is 8 72/100. After that, you can turn it into an improper fraction by doing 8x100, which is 800, then you add 72, which is 872. That makes 872 the numerator, and 100 the denominator, which makes 872/100.
Btw (I didn't simplify, as the problem states against it!)
In a bag of 50 marbles, 20 marbles are blue or pink.
What percentage of marbles are blue or pink?
Enter the missing values in the boxes to complete the ratio table.
Thanks.
Answer:
40%
Step-by-step explanation:
The ratio is 20:50, we can expand to 40:100, so 40%
how do I solve this?
Its g is increasing
I guess you could just plug in 0, 1 and -1 and graph it.
what is the probability of a person randomly selecting an apple pie, eating it, then selecting another apple pie
Answer:
if its me then i will bye the store. but the answer is 50%
Step-by-step explanation:
