You have to find the unit rate, which in this case means the amount of fish you need per serving of soup.
If 16 oz of fish makes 24 servings, then 16/24 oz = 2/3 oz makes 1 serving.
Now multiply both quantities by 10, so that 10 servings require 20/3 oz ≈ 6.67 oz of fish.
A more direct way to do this is to solve for x in the following equation:
(16 oz fish) / (24 servings) = (x oz fish) / (10 servings)
Then (omitting units)
x = 10 • 16 / 24 = 20/3
Solve by using elimination. Express your answer as an ordered pair.
Greetings.
The answer is (5,4)
Explanation:
Solving by elimination can be done by adding or subtracting of first and two equation.
Find any terms that make themselves = 0.
And that is the y-term.
Our 2y and -2y. If we add each others, we'd get 0 for y-term.
Therefore, we eliminate the y-term first.
[tex]\left \{ {{-x+2y=3} \atop {3x-2y=7}} \right. \\2x=10[/tex]
If you are wondering how I get 2x = 10 then here's the explanation.
So we simply add/subtract both equations.
We do -x + 3x = 2x
Then +2y - 2y = 0
And 3 + 7 = 10
That's how we get 2x = 10.
Basically Add/Subtract in Vertical way.
[tex]2x=10\\x=5[/tex]
We may get the x-value but we need to know the y-value too.
Therefore, substitute x = 5 into any given equations. I suggest you to substitute the x-value in any equations with less coefficient value.
I'd rather substitute x = 5 in -x+2y = 3.
[tex]-x+2y=3[/tex]
Substitute x = 5 in -x + 2y = 3
[tex]-5+2y=3\\2y=3+5\\2y=8\\y=\frac{8}{2}\\y=4[/tex]
Therefore, when x = 5, y = 4. Since you want the answer in ordered pairs then It's (5,4).
PLEASE HELP ASAP!!!!! GIVING A LOT OF POINTS FOR THIS
Answer: x = 7, y = 3
The triangle with side lengths 7 and x is equilateral (all sides are the same length) since all its angles are equal, so x = 7. Then the top two angles in the other triangle are equal, which tells us that y + 4 = 7, and y = 3.
i hope this helped! :D
Answer:
poop
Step-by-step explanation:
Tim plans to spend 40 hours on exercise training to eam a private trainer llcense. He has saved $2,000 for training. Tim
would like to determine the most he can afford to pay per hour for training.
In two or more complete sentences write and solve an inequality for the situation and explain how you will solve the
Inequality.
Answer:
The answer is for 50$ per hour Tim will be able to complete the training for private license.
Step-by-step explanation:
You divide 2,000 by 40.
= 2,000/40 which equals 50. so, Tim can spend $50 on training if he plans to do 40 hours.
This situation can be easily solved since Tim only wants to know the amount he needs to pay for an hour of training.
for 40 hours = 2,000$
for 1 hour = 2,000/40
= 50$ per hour
So for 50$ per hour Tim will be able to spend 40 hours on training.
There is 1/3
gallon of water in a 3-gallon container. What fraction of the container is filled?
Write a multiplication equation and a division equation to represent the situation.
What fraction of the container is filled?
pls help me !!!
Answer:
Step-by-step explanation:
1×3÷3=1/3
PLEASE HELP FAST!! WILL GIVE BRAINLIEST TO FIRST ANSWER!
Answer:
3 okie
Step-by-step explanation:
At a recent election a total of 93648 votes were cast for the 4 candidates, the winner exceeding his opponents by 25627, 10681 and 55924 votes respectively . How many votes cast for each candidate?
Answer:
The number of votes cast for each candidate are as follows:
Candidate a = 46470
Candidate b = 20843
Candidate c = 35789
Candidate d = -9454
Step-by-step explanation:
Let A, B, C and D represents the number of votes for a (winner), b, c and d candidates. Therefore, we have:
A + B + C + D = 93648 ................. (1)
Also, we have:
A - B = 25627
B = A - 25627 ........ (2)
A - C = 10681
C = A - 10681 ............. (3)
A - D = 55924
D = A - 55924............. (4)
Substituting equations (2), (3) and (4) into (1) and solve for A, we have:
A + A - 25627 + A - 10681 + A - 55924 = 93648
4A = 93648 + 25627 + 10681 + 55924
4A = 185880
A = 185880 / 4
A = 46470
Substituting A = 46470 into each of equations (2), (3) and (4), we have:
B = 46470 - 25627 = 20843
C = 46470 - 10681 = 35789
D = 46470 - 55924 = -9454
Therefore, the number of votes cast for each candidate are as follows:
Candidate a = 46470
Candidate b = 20843
Candidate c = 35789
Candidate d = -9454
Additional Note:
It should be noted that Candidate d has negative votes of -9454. This is possible because a negative vote is voting system that gives votes the opportunity to indicate dislike for a candidate, without increasing the votes of other candidates, and the number of dislikes will be the number of votes that will be deducted from the votes of the candidates. Therefore, a candidate can have negative votes cast if he gets only dislikes or more dislikes than votes.
Which function has a domain of all real numbers? 
A. Y=(x+2)^1/4
B. Y=-2(3x)^1/6
C. Y=(2x) ^1/3-7
D. Y=-x^1/2+5
The correct option is C, that function has a domain of all real numbers.
Which function has a domain of all real numbers?First, remember that square roots (or even roots) can't have negative arguments, so these ones can be discarded.
Also, remember that a root of degree n can be written as:
[tex]\sqrt[n]{x} = x^{1/n}[/tex]
In this way are all the given roots written.
With that in mind, we can see that options A, B, and D are even roots, then these options can be discarded.
The only option that has a domain of all real numbers is option C, which has an odd degree.
Learn more about domains at:
https://brainly.com/question/1770447
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A faucet is leaking water at a rate of 2.5 cups per hour. How many cups of water will leak in 8 hours?
Answer:
1.5
Step-by-step explanation:
Answer:
20 cups of water for 8 hours
Step-by-step explanation:
2.5 times 8
liu deposited 3,500 into a savings account.the simple interest rate is 4% .so how much interest will the account earn in 10 years
plz answer this correctly my grade depends on it
Answer:
The answer is $1,400
Good Luck!
Answer:
In 10 years the interest is $1,400
Step-by-step explanation:
4% = 0.04
0.04 x 3,500 = 140
140 x 10 = $1400
The rectangle below has an area of 144x4 square meters and a width of 12x meters. What is the length of the rectangle?
As we know that
♦ Area of rectangle = Length × breadth
Substituting known values ,
⇒ 144x⁴ = 12x ( Length )
⇒ 144x⁴ / 12x = Length
⇒ 12x³ = Length
⇒ Length = 12 x³
POINTS ARE UNLIMITED
Answer:
yesssujhhhhhhhhhhhhhhhhh
Answer:
I've been blessed with points once again UvU
Step-by-step explanation:
Mrs. Jones decided to buy some pencils for her class. She bought 2 packages of pencils, and each package contained 42 pencils. There are 21 students in her class and she divided up the pencils so that each student had the same amount of pencils. If there were no pencils left over, how many pencils did each student get?
A.
2
B.
42
C.
23
D.
4
Answer:
4
Step-by-step explanation:
42*2=84
84/21
Adrian currently has $500 in his savings account. He saves $10 per month. He saves the same amount each month and does not take any money out of the account. In how many months will Adrian have $700?
Answer:
20 months
Step-by-step explanation:
I need help, we are doing riddles in math class and Im confused.) 1. Buddy and Hermey were both born on christmas eve. When buddy was 6 years old, hermey was half his age. If buddy turns 100 this christmas eve, how old is hermey going to be?) 2.At a holiday market, the total cost for a cup of hot cocoa and a cookie is $1.80. If a cup of hot cocoa costs $1.00 more than the cookie, how much does a cup of hot cocoa cost?) 3.
Dasher spent half as much as prancer did on holiday presents this year and cupid spent 3 times more than dasher. If the total spent between the three of them was $720, how much did they each spend on gifts?
Answer:
Step-by-step explanation:
for the first one the answer is 97 for the second one the it is hot coco cost 1.40$ and a cookie costs 0.40$ and for the last one it is dasher spent 120$ prancer spent 240$ and cupid spent 360$.
can I get help......
answer this ASAP plz
Answer:
b
Step-by-step explanation:
PLEASE HELP I NEED ANSWER NOW
Will give brainliest
Enter your answer, as a mixed number in simplest form
4 1/3÷1 2/9
Answer:
8/27
Step-by-step explanation:
Lines x and y are parallel and are cut by the transversal b. If the measure of angle 1 is 57°, what is the measure of angle 6? Explain the relationship between the two angles.
Answer:
[tex]\angle6=123[/tex]
Step-by-step explanation:
Given
Lines x and y
Transversal b
[tex]\angle 1 = 57[/tex]
Required
Find [tex]\angle 6[/tex]
From the attachment, [tex]\angle1[/tex] and [tex]\angle7[/tex] are vertically opposite.
This means that
[tex]\angle 1 =\angle 7 = 57[/tex]
Similarly
[tex]\angle 7[/tex] and [tex]\angle 6[/tex] are supplementary angles
So:
[tex]\angle7 + \angle6=180[/tex]
Make [tex]\angle6[/tex] the subject
[tex]\angle6=180-\angle7[/tex]
[tex]\angle6=180-57[/tex]
[tex]\angle6=123[/tex]
The relationship between [tex]\angle1[/tex] and [tex]\angle6[/tex] is that they are supplementary angles because:
[tex]\angle6+ \angle1=180[/tex]
Find the unit rate in miles per hour
100 miles per 2 hours
Answer:
50mph, or 50 miles per hour
Answer:
50 mph (Miles per hour)
Step-by-step explanation:
Skylar mowed 16 lawns for 12 hours
Answer:192
Step-by-step explanation:
Answer: 192 i guest
Step-by-step explanation: 16 times 12 equals 192
I WILL MARK BRAINIEST
HELP ASAP
Please answer question 16
Answer:
Step-by-step explanation:
The smaller rectangle has a perimeter of 200 meters. Let's say that the smaller rectangle has length 60 and width 40. This would give it a perimeter of 200, since 2*(60+40) = 200.
If these are the length and width of the smaller one, we can multiply each by 5/4 to get the length and width of the larger one.
length of larger rectangle = 60*5/4 = 75
width of larger rectangle = 40*5/4 = 50
These dimensions would give a perimeter of 250, since 2*(50 + 75) = 250.
It is worth noticing that 250 is equal to 200 * 5/4. In the future, you can simply multiply perimeter by the ratio instead of going through all these steps.
The unit price (rate) per 1 gallon of gas is $3.00. The constant of proportionality is $3.00. Using the unit rate, how much will 15 gallons of gas cost?
a) $3.00
b) $21.00
c) $45.00
d) $90.00
An a my baker is making a cake for a Terran visitor. The cake is removed from the over at 357 and cools to 130 after 25 min in a room at 72. How long will it take for the cake to cook off to 90?
Answer:
It will take 43.37 mins for the cake to cook off to 90
Step-by-step explanation:
From Newton's law of cooling
[tex]T_{(t)} = T_{s} + (T_{o} - T_{s})e^{kt}[/tex]
Where
[tex]t =[/tex] time
[tex]T_{(t)}[/tex] = Temperature of the given body at time [tex](t)[/tex]
[tex]T_{s}[/tex] = Surrounding temperature
[tex]T_{o}[/tex] = Initial temperature of the body
and [tex]k[/tex] = constant
From the question,
[tex]T_{o}[/tex] = 357
[tex]T_{s}[/tex] = 72
[tex]T_{o} - T_{s}[/tex] = 357 - 72 = 285
∴ [tex]T_{(t)} = 72 + 285e^{kt}[/tex]
From the question, the cake cools to 130 after 25 min. Then, we can write that
[tex]T_{(25)} = 72 + 285e^{k(25)}[/tex]
∴ [tex]130 = 72 + 285e^{25k}[/tex]
Then,
[tex]130 - 72 = 285e^{25k}[/tex]
[tex]58 = 285e^{25k}[/tex]
[tex]\frac{58}{285} = e^{25k}[/tex]
Take the natural log (ln) of both sides
[tex]ln^{\frac{58}{285} } =ln^{ e^{25k}}[/tex]
[tex]-1.5920 = 25k[/tex]
∴ [tex]k =\frac{-1.5920}{25}[/tex]
[tex]k = -0.06368[/tex]
Now, to determine how long it take for the cake to cook off to 90
That is,
[tex]T_{(t)} = 72 + 285e^{kt}[/tex]
[tex]90 = 72 + 285e^{-0.06368t}[/tex]
[tex]90 - 72= 285e^{-0.06368t}[/tex]
[tex]18 = 285e^{-0.06368t}[/tex]
[tex]\frac{18}{285} = e^{-0.06368t}[/tex]
[tex]\frac{6}{95} =e^{-0.06368t}[/tex]
Take the natural log (ln) of both sides
[tex]ln^{\frac{6}{95} } = ln^{e^{-0.06368t}}[/tex]
[tex]-2.7621 = -0.06368t\\[/tex]
∴ [tex]t = \frac{-2.7621}{-0.06368}[/tex]
[tex]t = 43.37 mins[/tex]
Hence, it will take 43.37 mins for the cake to cook off to 90.
Advantages and disadvantages of simple interest
Answer:
Simple interest, specifically in bank offers a grace period of six days, which gives time to payback. When saving money or investing, if the interest rate is high then the customer benefits. The disadvantages in simple interest are that if the interest rate is high then the borrower will pay more.
Answer:
Interest is the compensation received for lending money and paid by the person borrowing the money. A well-known form is the interest that consumers receive (credit or savings interest) or pay (debit interest) on an account at a bank.
There are essentially two types of interest, simple interest and compound interest. Simple interest is that which is not added to the initial capital, that is to say, the interests are always calculated on the same initial amount of the investment; while compound interest is one in which the profit obtained is added to the capital, generating increasing rates of profit since the interest percentage is calculated on a higher basis.
The main disadvantage of the simple interest is precisely that the base of obtaining gains is never widened, since the interests are not linked to the capital, with which a long-term investment with this type of interest is inadvisable. Now, the main advantage of this type of interest is that it allows you to quickly consolidate earnings, since you can withdraw the income obtained without modifying the base amount on which the interest is calculated.
For five weeks over the summer, Neera earned weekly paychecks at her part-time job. The amount of each paycheck was $101.65, $79.23, $84.67, $121.33, and $77.62. What was her average paycheck for those five checks?
Answer:
$92.90
Step-by-step explanation:
101.65 + 79.23 + 84.67 + 121.33 + 77.62 = 464.50
464.50 / 5 = 92.90
Hope this helps.
Find the distance between the given point (2,-2) and (-4,-7)
Answer:
-11
Step-by-step explanation:
that's my answer please follow me
plz help me out, this is from a study guide for my test today! thank you!
I WILL MARK BRAINLIEST IF ANSWERSED CORRECTLY AND 50 + BRAINLY POINTS
Solve this inequality for x: -46 − 8x > 22.
A. x -8.5
D. x > 8.5
Answer:
B
Step-by-step explanation:
Movie theaters exploit your senses by filling the air with the scent of popcorn.
Answer:
Fax
Step-by-step explanation:
