Answers
=======================================================
Explanation:
To find the rate of change, we'll need to find the slope.
Focus on Marisol's data table. Let's pick the first two rows to see that
(x1,y1) = (2,12)
(x2,y2) = (3,18)
The slope through these points is....
m = (y2-y1)/(x2-x1)
m = (18-12)/(3-2)
m = 6/1
m = 6
So she can purify 6 ounces of water per hour. We'll keep this rate in mind for later.
-----------------------------------
Now move onto Timothy's table
Again we'll pick the first two rows. You can pick any two rows you want, but the first two just seems most convenient.
(x1,y1) = (4,36)
(x2,y2) = (6,54)
m = (y2-y1)/(x2-x1)
m = (54-36)/(6-4)
m = 18/2
m = 9
Timothy's machine can purify at a rate of 9 ounces per hour. His rate is faster compared to Marisol.
-----------------------------------
To summarize, we have these rates
Marisol's rate = 6 oz per hrTimothy's rate = 9 oz per hrZorian's rate must be between 6 and 9 oz per hour.
So we must look through the answer choices and see which slope is between 6 and 9. That would be for the equation y = 8x since the slope here is 8, which is between 6 and 9.
Something like y = 15x doesn't work because the rate 15 is larger than Timothy's rate.
So that's why y = 8x is the answer.
Side note: The equation y = 8x is the same as y = 8x+0. It is in the form y = mx+b with slope m = 8 and y intercept b = 0.
Related Questions
5 out of 12 issues it publishes each year. Write and solve a proportion to determine how many times a photo of a main dish will be on the front cover during the next 5 years?
Answers
Answer:
25 times
Step-by-step explanation:
If the magazine(we are assuming it's a magazine as we are not told) publishes 5 out of 12 issues of a photo of main dish each year then out of every 12 issues each year it only publishes 5 photos of main dish
The proportion is therefore 5/12
In five years there will be 12*5=60 issues of a photo of a main dish and 5*5=25 published photos of a main dish.
Therefore a photo of a main dish will be on the cover 25 times out of 60 issues in five years
To check if we are correct, we check the proportion to see if it still evaluates to 5/12
25/60= 5/12 when reduced to lowest terms
74+(-91)x27=?
answer
Answers
Answer:
[tex] - 2383[/tex]
Step-by-step explanation:
[tex]74 + ( - 91) \times 27 \\ 74 + (- 2457) \\ - 2383[/tex]
what is the measure of <x
Answers
Answer:
Y=76⁰
X=104⁰
Z=104⁰
Step-by-step explanation:
Y is equal to 76 bcz directly opposite angles are equal
x=180-76 which is 104⁰ bcz angles on a straight line add up to 180⁰
I need help with angles
Answers
Answer:
<2 is 115 degrees
Step-by-step explanation:
<7 and <6 are vertical angles, <6 and <3 and the same, and <3 and <2 are vertical as well
please give brainliest
Rosita is designing a quilt for her bed. She will use 5/8 of the quilt pieces for the background. What percentage of the quilt will be used for the background
Answers
To turn a decimal into a fraction, move the decimal point two spaces to the right.
0.625 = 62.5%
62.5% of the pieces are used for the background
Represent the following expression as an algebraic expression where a number is the letter x ; a number is subtracted from 4
Answers
Answer:
4-x
Step-by-step explanation:
since x is a number given and it should be subtracted from 4.
What’s the Coefficient in 3+2x
Answers
Answer:
2
Step-by-step explanation:
The coefficient is the number attached to the variable. In this instance, it is two.
Answer:
A coefficent is: a numerical or constant quantity placed before and multiplying the variable in an algebraic expression...(e.x. 4 in 4x).
Step-by-step explanation:
A youth club organizer is plannning a day trip for the club members. The cost of the trip is $330 and club has already saved $75. the price of a ticket for the trip is $x and there are 21 people going on the trip. give an inequality in terms of x to determine the price of each ticket if the cost of the trip is to be completely funded
Answers
Answer:
Step-by-step explanation:
330 = 21x + 75
The price of a ticket for the trip $x is 12.14 dollars.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that the cost of the trip is $330 and the club has already saved $75. the price of a ticket for the trip is $x and 21 people are going on the trip.
Therefore,
The cost of the trip = is $330
The club has already saved = $75.
the price of a ticket for the trip = $x
Thus, the equation becomes as;
330 = 21x + 75
Solving;
21x = 330 - 75
21x = 255
x = 12.14
Hence, the price of a ticket for the trip $x is 12.14 dollars.
Learn more about equations here;
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What is the predecessor and successor of 9,852
Answers
Answer:
Predecessor: 9851
Successor: 9853
Step-by-step explanation:
The predecessor of a number is 1 less than it.
The successor of a number is 1 more than it.
PLS GIVE BRAINLIEST
Answer:
which one of these is a valid for balance
How would I find the size of angle x
Answers
Answer: the answer would be 7
Step-by-step explanation:
jhgfdsdfgh jhgfvghj iuygtfdfghj ytfrdcvbnm iuytgfcv jhgfcvb jiuytgfcvb kiuytfcv kjhgfc kjhgfc
PLSSS HELPPPPP I WIILLL GIVE BRAINLIEST!!!!!
PLSSS HELPPPPP I WIILLL GIVE BRAINLIEST!!!!!
PLSSS HELPPPPP I WIILLL GIVE BRAINLIEST!!!!!
Answers
Answer:
The slope is -4
-4/1=-4
Hope this helped
Answer:
-4
Step-by-step explanation:
To find slope, subtract the y's and x's in the same order. We put y's on the top and x's on the bottom. The points are (-3, -4) and (-2, -8).
The y's are -4 and -8. The x's are -3 and -2.
-4-(-8)=4
-3-(-2) -1
The slope is -4.
Hope this helps you...have a great day (～￣▽￣)～
How to do this question plz
Answers
9514 1404 393
Answer:
22%
Step-by-step explanation:
If Denver gets 2/19 of the food, then Engle and Fido share the remaining 17/19 of the food.
If Engle and Fido share their food in the ratio of 6:2, then Fido's share is 2/(6+2) = 2/8 = 1/4 of the portion they have.
Fido's share of all the food is then (1/4)(17/19) = 17/76.
As a percentage of the whole, that is ...
17/76 × 100% ≈ 22%
What is -52 +3.
+3
18
-3
2
2
2.
118
718
-
Answers
Answer:
Step-by-step explanation:-2 1/8
Answer:
C.) -2 1/8
Step-by-step explanation:
-5 5/8 can be rewritten as - 45/8
3 1/2 can be rewritten as 7/2
Now we need it so that the denominator is equal.
so, we are going to multiply 7 and 2 by 4 to get 2 to 8 and 7 to 28.
7/2 = 28/8
Now subtract.
28/8 - 45/8 = - 17/8
Now we simplify.
Since 8 x 2 equals 16, we subtract 16 from 17 and get 1 so, the whole number is 2 and the fraction is 1/8, so the answer is -2 1/8
what is the missing term in the quadratic expression below?
(2x-3)(x-4)=2x^2+____ -12
Answers
Answer:
ok
Step-by-step explanation:
Answer:
Step-by-step explanation:
Factor f(x)=x^3+2x^2-x-2. f(x)=x3+2x2−x−2 f ( x ) = x 3 + 2 x 2 - x - 2.
What is the value of s?
units
Answers
Please help !!! I’m confused
Answers
6x-21=105
+21. +21
6x=126
×=21
21y=75
Divide 21 from 75
Y= 3.6
If -3c/4=24, what is the value of c/2?
Answers
Answer: look it up lol
Step-by-step explanation:
symplify the expression 3⁴÷3⁹. Select all that apply.
Answers
Answer:
C and D
Step-by-step explanation:
When you divide exponents with the same base, you just subtract the exponents.
3^4 / 3^9
4-9 = -5
3^-5
That can be rewritten into 1/3^5 and 1/243.
Help me ASAP!!!!! Plsss!
Answers
A 3-foot rain barrel is being filled from the runoff of a roof. The barrel has already collected 2.75 feet of water. For
every additional inch of rainfall into the barrel, the level of water in the rain barrel rises by 0.75 inch.
What is the y-intercept of the linear model representing the change in height of water, in inches, based on the
rainfall, in inches?
Answers
ssssssssssssssssssssssssssssss
what is -8 + x = 13
i don't get this i need help
Answers
Answer:
21
Step-by-step explanation:
this is because you take 13 and minus it by -8 like this:
13--8=x(21)
Pls help me this is so hard can someone help me.
Answers
Answer: 4x+8=12
Step-by-step explanation: there is the 1st one im going to try and o the second one oh im a 7th grader
Brain teaser I will give lots of points for THIS!!!
Answers
Answer:
46???
Step-by-step explanation:
apples: 10
bananas: 6
oranges: 6
soo im guessing 10 + 6 x 6 = 46?????
Which pair of triangles must be similar? help please
Answers
Answer:
If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.
I just need help wit this quick question
Answers
9514 1404 393
Answer:
yes
Step-by-step explanation:
A triangle is acute if its largest angle is acute.
A triangle is obtuse if its largest angle is obtuse.
A triangle cannot be both acute and obtuse, so, yes, the statements contradict each other.
Answer:
Step-by-step explanation:
Yes they do contradict
Acute means less than 90 while obtuse means more than 90.
Both can't exist for the same triangle at the same time.
There are 11 books on a shelf , 7 of these books are new . The rest of them are used .
What is the ratio of new books to used book ?
Answers
Answer:
7:4
Step-by-step explanation:
11-7=4
7:4
The ratio of old books to the new books is new : old = 7 : 4.
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, There are 11 books on a shelf, and 7 of these books are new.
So, The number of old books are (11 - 7) = 4.
So, In the self there is 7 new books and 4 old books.
Therefore the ratio of new books to old books,
new books : old books = 7 : 4.
learn more about proportion here :
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2 (MC) Explain how the Quotient of Powers was used to simplify this expression. (2 points) 25 = 22 By finding the quotient of the bases to be 1 4 and cancelling common factors F O By finding the quotient of the bases to be 1 4 and simplifying the expression O By simplifying 8 to 23 to make both powers base two, and subtracting the exponents O By simplifying 8 to 23 to make both powers base two, and adding the exponents 3.(MC)
Answers
Answer:
Explain how the Quotient of Powers was used to simplify this expression. (2 points) 25 = 22 By finding the quotient of the bases to be 1 4 and cancelling common factors F O
Step-by-step explanation:
By finding the quotient of the bases to be 1 4 and simplifying the expression O By simplifying 8 to 23 to make both powers base two, and subtracting the exponents O By simplifying 8 to 23 to make both powers base two, and adding the exponents 3.(MC)
How many 9 digit numbers have their first and last digits even?
Answers
There are 900000000 nine-digits numbers and exactly half of them have an even sum of digits (because every number can be paired with another of the opposite parity by changing the last digit).
Answer: 200,000,000.
we have 9 spaces we need to fill in
There are 10 total numbers(0–9)
There are 5 even numbers(0,2,4,6,8)
fill from left to right
u cannot start with 0 so pick another number 2,4,6,8 any of those
4*10^7*5= 20*10^7 = 2*10^8
200,000,000.
Can somebody just answer this in simplify form plz!!! Make sure it’s a correct answer :)
(I’m still new to this and idek what “simplify it” means...?
WILL MARK BRAINLIEST
PROMISE!
Answers
I need help plz answer this
Answers
Answer: A. (5)(5x+2y)
Step-by-step explanation: