Answers:
A) Yes, the total cost is proportional to the number of pounds of chocolate.B) Explanation is below=================================================
Let,
x = number of pounds of chocolate
y = cost of buying x pounds of chocolate
If you buy x = 2 pounds, then you spend y = 9.98 dollars.
So k = y/x = 9.98/2 = 4.99 is the cost per pound. This is known as the unit price or unit cost. It's the cost of one pound of chocolate.
Now if you buy x = 5 pounds, then you'll be charged a total of y = 24.95
So, k = y/x = 24.95/5 = 4.99
We get the same constant of proportionality here, and therefore, this is a direct proportional relationship. Each time x goes up by 1, y goes up by 4.99; in other words, each time you buy 1 extra pound of chocolate, you pay $4.99 more. This is to be expected whenever you're at the grocery store as long as you ignore things like coupons or bulk discounts or things of that nature.
The equation of this line is y = 4.99x
This shows the slope is 4.99 and the y intercept is 0.
------------------
An alternative approach:
Again we define x and y as stated above. We see that the two points are (2,9.98) and (5,24.95)
Computing the slope gets us
m = (y2-y1)/(x2-x1)
m = (24.95-9.98)/(5-2)
m = 14.97/3
m = 4.99
So this matches what we got earlier.
Now turn to y = mx+b. Plug in that value of m along with (x,y) = (2,9.98)
Doing so gets us 9.98 = 4.99*2+b
Let's solve for b
9.98 = 4.99*2+b
9.98 = 9.98+b
0 = b
b = 0
I subtracted 9.98 from both sides to isolate b. The fact we get the y intercept is 0 helps show that we have a direct proportion. All direct proportion linear equations go through the origin (0,0). This is to reflect that buying 0 pounds of chocolate means you pay 0 dollars.
We get the same result as the previous section.
Helppppppppppppppp
plzzzzzz
Answer:
I'm not completely sure so if this is wrong plz dont get mad but I think it might be 3 and 8/10
ok i have been stuck on this most of my math class please help me.
-u/3 = -45
Answer:
U=135
Step-by-step explanation:
Answer:
U = -135
Step-by-step explanation:
-45 x 3 = -135
-135/3 = -45
Mrs. Brooks 1st period class has 28 students. 15 of the students are girls. What is the ratio of boys to all students in the class?
Match the fractions that are equivalent to each other?
Column A
1.
2 1/3
2.
8/5
3.
2 3/5
4.
11/3
Column B
a.7/3
b.1 3/5
c.13/5
d.3 2
Answer:
1&a 2&b 3&c 4&d
Step-by-step explanation:
...
Answer:
1 and a
2 and b
3 and c
4 and d
Please help will mark brainleist
Hiiii
Can someone PLZ help me
The equation of a linear function in point-slope form is y – y1 = m(x – x1). Harold correctly wrote the equation y = 3(x – 7) using a point and the slope. Which point did Harold use?
a) (7, 3)
b) (0, 7)
c) (7, 0)
d) (3, 7)
Answer:
Step-by-step explanation:
Umm I don't understand this...Can someone explain it...I will mark the one who make it a little clear to me..
Answer: 12
Step-by-step explanation:
step 1 take z.y+x-b+a-o
step 2 lets say that Z=3 Y=2 X=4 B=6 A=9 O=1
step 3 write out the problem 3.2=6+4=10-6=4+9=13-1=12
step 4 when you get this done and you have the same answer as mine show your teacher that you are done just take what i typed for the problem.
The circumference of a circle is 12π cm. Find its diameter, in centimeters.
Hope this helped you answer your question! Bye bye
can somebody tell me what is 3x - 4 = 5?
Answer:
[tex]x=3[/tex]
Step-by-step explanation:
Move the -4 over to the other side.
[tex]3x=9[/tex]
Divide both sides by 3.
[tex]x=3[/tex]
Answer:
x = 3
Step-by-step explanation:
Step 1: Add 4 to both sides.
3x−4+4=5+4
3x=9
Step 2: Divide both sides by 3.
3x/3 = 9/3
x = 3
please answer my question correctly not for points because i will be deleting wrong answers. im not saying this to be rude.
Two members of a band want to get word out about their next gig. Jack's plan is that he can pass out 100 fliers a day. Meg has a different strategy. She wants to tell each of her friends about the performance on the first day, and ask each of her 10 friends to each tell a friend on the second day, and then everyone who has heard about the concert would tell a friend on the third day, and so on. Meg's idea can be modeled with the function M(t)=10(2)^2-1, where t is the number of days.
What kind of function is Meg's idea? What about Jack's?
Answer:
megs idea is exponential function
jacks idea is linear function j(t)=100t
Step-by-step explanation:
This is worth 20 points, please answer! (Please answer with a variable in the equation)
Answer:
The equation is 41 x 3 and 123-10 the answer is 113
Step-by-step explanation:
First, you have to find out how much 3 times is that is 123 then you take away ten which would be 113.
PLS HELP ME WITH THIS!!
Answer:
Step-by-step explanation:
Volume = length * width * height
1) Volume = ( 7 * 3 * 7) + ( [7- 5) * 2 * 7)
= 147 + ( 2 *2 *7)
= 147 + 28
= 175 cubic ft
2) Volume = (6 * 3 *3 ) + ( 1 * 2 *3)
= 54 + 6
= 60 cubic ft
3) Volume = ( 3 * 4 * 7 ) + ( 7 * 4 * [6-4] )
= 84 + ( 7 * 4 * 2)
= 84 + 56
= 140 cubic ft
4) Volume = (3 * 4 * [6-4] ) + ( 12 * 4 * 4)
= (3* 4 * 2) + 192
= 24 + 192
= 216 cubic ft
You have an ash tree and a magnolia tree in your yard. You chart the vertical growth of each tree. What is the growth rate of each tree in millimeters per day? Use the conversion 1 inch = 25.4 millimeters to help you. Round your final answer for millimeters per day to the nearest hundredth for each tree.
Answer:
2.5
Step-by-step explanation:
PLS HELP ASAP!!! I NEED HELP! GIVING OUT 20 PTS! <33
Answer:
radius: 1.75
pi: 3.14
circumference of the circle: 5.495
i think.
Step-by-step explanation:
What are the coordinates of point P?
On a coordinate plane, Point P is 2 units to the left and 4.5 units down.
(Negative 4.5, negative 2)
(Negative 2, negative 4.5)
(2, negative 4.5)
Answer:
negative 2, negative 4.5
Step-by-step explanation
when doing this, you want to figure out (X,Y). X is sideways and Y is up and down. Any number to the left of 0 will be negative, so if you are finding X and you move 2 spaces to the left from 0, you will be at -2. So you found X. Then is says it is 4.5 spaces down. Anything down is also negative. So you would start at -2 since the is where X is. Then move down 4.5 and you will be at -4.5. So -4.5 is what Y is. now you can fill in (X,Y). You will get (-2,-4.5). I hope this helped a bit.
Please help ASAP!
Hoping to be named Salesperson of the Month, Seth called the names from 3/5 of a page of the phone book last week. This week, he called the people listed on another 1/2 of a page of the same phone book. How many pages worth of people did Seth call in all?
Write your answer as a fraction or as a whole or mixed number.
Answer: 11/10 or 1 1/10 pages
Step-by-step explanation:
3/5 + 1/2 = x
find the LCD so that you can add the fractions.
3/5 (2/2) = 6/10
1/2 (5/5) 5/10
6/10 + 5/10 = 11/10 or 1 1/10
the answer choices is with the second picture the little boxes haves to go with a picture graph
What is the value of the expression below? 14 divided by 2 + 3 (4) minus (6 and one-half minus 3) 10 and one-half 15 and one-half 30 and one-half 36 and one-half
Answer:
meaning please I don't get youAnswer:
yo
Step-by-step explanation:
15 and one half
PLEASE HELP WILL GIVE BRAINLIEST
Use the interactive tool to graph the line given the following information:
coordinates (1,–3)
slope of –2
Based on your investigation, what is the value of b for the point (0,b)?
Answer: [tex]y = -2x - 1[/tex], [tex]b = -1[/tex]
Step-by-step explanation:
[tex]y = mx + b[/tex] [tex]-3 = 1(-2) + b[/tex] [tex]-3 = -2 + b[/tex] [tex]-1 = b[/tex]Multiply Polynomial Expressions
How do you Notice the y-intercept and then, Use rise/run to identify the slope?
Answer:
Ris over run
Step-by-step explanation:
The formula for slope is sometimes referred to as "rise over run", because the fraction.
Answer:
Rise over Run, hope this helps :)
Step-by-step explanation:
Help me 20 points!!! 7th-grade math.
Answer:
the answer is 0.7+1.8h
Step-by-step explanation:
Kylie reflected figure C across the y-axis, then translated it up 3 units and 1 unit to the right to create congruent figure C'. Gavin claims there is another method to transform figure C to figure C'. Which of the following transformations could be Gavin’s method? A. Figure C is reflected over the x-axis. B. Figure C is reflected over the y-axis. C. Figure C is rotated 270 counterclockwise about the origin. D. Figure C is translated 7 units to the left and 3 units up. hrry pls in a rush
Answer:
D. Figure C is translated 7 units to the left and 3 units up.
Step-by-step explanation:
I hope this helps. I am sooo sorry nobody answered you quick enough. :) I hope you have had a wonderful day!
Answer:
It is d
Step-by-step explanation:
i took the quiz and got it right
1. You purchase a bag of chips that cost $4. The sales tax is 6.5% what will be the total cost.
2.You buy some shoes that cost $100. Your total, with tax, is $106. what is the sales tax rate.
I"LL GIVE BRAINLIEST
Answer:
the first one is 3.74 and the second one is 6%
its basic percent subtraction
Step-by-step explanation
1. 4.26, multiply $4 by 6.5% (0.065)
2. 6% is the sales tax rate :)
Select the number line that correctly shows the calculation for |−5|.
1 // A number line from negative 5 to positive 5 with increments of 1 is drawn. A horizontal line is drawn from negative 5 to 0, and 5 is written above it.
2 // A number line from negative 5 to positive 5 with increments of 1 is drawn. A horizontal line is drawn from negative 5 to 0, and negative 5 is written above it.
3 // A number line from negative 5 to positive 5 with increments of 1 is drawn. A horizontal line is drawn from 0 to positive 5, and 5 is written above it.
4 // A number line from negative 5 to positive 5 with increments of 1 is drawn. A horizontal line is drawn from 0 to positive 5, and negative 5 is written above it.
3th one it is
hope this helps
Answer:
Modulus of a number always yields Positive Result.Modulus is defined is as follows
|x|=x, if x>0.
|-x|=-(-x)=x, if x<0
|x|=0, if, x=0.
→ |-5|=5
⇒The best way of representing , 5 on the number line is
Option C
A number line from negative 5 to positive 5 with increments of 1 is drawn. A horizontal line is drawn from 0 to positive 5, and 5 is written above it.
Step-by-step explanation:
This is worth 20 points please answer! (Also, please write out the equation with a variable.)
Answer:
64x4=(256) +13=269
Step-by-Step:
If 64 skittles are in each bowl that means there is 4 bowls filled with 64 skittles so you multiply 4 and 64. After that you add how many skittles Evan ate to find the amount of skittles in the bag originally. So 256+13
Answer:
243
Step-by-step explanation:
since there are 64 skittles in one bowl and there are 4 bowls you have to multiply 64 by 4=256
And he ate 13 so you have to subtract 256 from 256 which gives you 243.
equation= (64 x 4) - 13
1. Maria bought seven boxes. A week later half of all her boxes were destroyed in a fire. There are now only 22 boxes left. With how many did she start?
2. Kurt won 40 super bouncy balls playing horseshoes at her school's game night. Later, she gave two to each of her friends. She only has 8 remaining. How many friends does she have?
3. Imani spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with$12?
YOU DON'T HAVE TO SOLVE JUST GIVE ME THE EQUATION.
Hannah is getting balloons for her father's birthday party. She wants each balloon string to be 6 feet long. At the party store, string is sold by the yard. If Hannah wants to get 66 balloons, how many yards of string will she need?
