What is 1578 x 3490 divded by 8 x 4?
Answer: 172100.625
Explain: Use calculator
Meg plotted the graph below to show the relationship between the temperature of her city and the number of sweaters sold at a store:
Main title on the graph is Sweater Sale. Graph shows 0 to 30 on x axis at increments of 5 and 0 to 12 on y axis at increments of 1. The label on the x axis is Temperature in degree C, and the label on the y axis is Number of Sweaters Sold. Dots are made at the ordered pairs 0, 12 and 2.5, 10 and 2.5, 11 and 5, 10 and 7.5, 9 and 7.5, 10 and 10, 7 and 12.5, 6 and 12.5, 8 and 15, 4 and 15, 7 and 17.5, 5 and 20, 1 and 20, 3 and 22.5, 9 and 25, 1 and 27.5, 1.
Part A: In your own words, describe the relationship between the temperature of the city and the sale of sweaters in the city. (5 points)
Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate slope and y-intercept. (5 points)
Solution:
The description about the graph is:
Graph shows 0 to 30 on x axis at increments of 5 and 0 to 12 on y axis at increments of 1. The label on the x axis is Temperature in degree C, and the label on the y axis is Number of Sweaters Sold. Dots are made at the ordered pairs 0, 12 and 2.5, 10 and 2.5, 11 and 5, 10 and 7.5, 9 and 7.5, 10 and 10, 7 and 12.5, 6 and 12.5, 8 and 15, 4 and 15, 7 and 17.5, 5 and 20, 1 and 20, 3 and 22.5, 9 and 25, 1 and 27.5, 1.
Part A: The relationship between the temperature of the city and the sale of sweaters in the city can be found by drawing the line of best fit.
If you will draw line through , (12.5,6) and (15,4), it will best represent line of best fit, because most of points on same and opposite side of line are equidistant from each other.
Equation of line passing through two points,[tex](x_{1},y_{1}),(x_{2},y_{2})is, \frac{y-y_{1} }{x-x_{1} } = \frac({y_{2} - y_{1}})({x_{2}-x{1} })[/tex]
Equation of line passing through (12.5,6) and (15,4) is given by
[tex]\frac{y-6}{x-12.5} = \frac{6-4}{12.5-15}[/tex]
[tex]2x-25=-2.5+15[/tex]
[tex]2x+2.5y=40[/tex]
[tex]20x+25y= 400[/tex]
[tex]4x+5y=80[/tex]
Part B: Description of line of best fit
A line of best is the line which passes through all or some points or only through a single point, which describes the relationship between x and y values of data set. The line passes through (12.5,6), (15,4),and (7,10) that is three points.
(C) 4 x + 5 y=80
5 y= - 4 x +80
[tex]y=\frac{-4x}{5}+16[/tex]
Slope [tex]= \frac{-4}{5}[/tex], Y- intercept = 16
Identify the correct weight to the nearest 1/8 pound, then reduce the fraction if possible.
The correct weight to the nearest 1/8 pound from the considered image is 3.55 pounds. In reduced fraction form, it is 71/20 pounds approx.
How to convert from decimal to fraction?For conversion from decimal to fraction, we write it in the form a/b such that the result of the fraction comes as the given decimal. Usually, to get the decimal of the form a.bcd, we count how many digits are there after the decimal point (if its finite), then we write 10 raised to that many power as denominator, and the considered number without any decimal point as numerator.
For example:
[tex]0.99 = \dfrac{99}{10^2} = \dfrac{99}{100}[/tex]
(10 raised to power k = 1 followed by k zeroes)
How to add two fractions?Let we have to add two fractions as:
[tex]\dfrac{a_1}{b_1} + \dfrac{a_2}{b_2}[/tex]
Then we will find Lowest Common Multiple (LCM) of [tex]b_1[/tex] and [tex]b_2[/tex]. That will help to make the denominators same.
Once the denominators become same, the numerators can add up directly, giving us the final result of addition.
For this case, we can see from the image that:
Weight shown = 3 pounds + half more pound + half of 1/10 pound more approx. (as the weight hand is approx between 5 and 6 minor ticks after the big 3 pound mark). In each minor mark, one pound is divided in 10 parts, so each minor tick adds up 1/10 of a pound. Half of 1/10 shows that after 5, the hand is not exactly on 6 but sort of in between them, so approximately half.
Thus, weight shown ≈ 3 + 0.5 (half is written 0.5 too) + 1/10 of 0.5 pounds
= 3 + 0.5 + 0.5/10 = 3.5 + 0.05 = 3.55 pounds
Thus, the weight is approx 3.55 pounds.
Converting it to fraction, we get:
[tex]3.55 = \dfrac{355}{100} = \dfrac{5 \times 71}{5 \times 20} = \dfrac{71}{20}[/tex] pounds.
Thus, the correct weight to the nearest 1/8 pound from the considered image is 3.55 pounds. In reduced fraction form, it is 71/20 pounds approx.
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Answer:
G'day. Here is your answer!
Step-by-step explanation:
3 6/16m= 3/38.
2 to 3: lb subintervals:
so each scale: 1/16 lb
Now we observe the pointer. 6 scales after 3 lb = 3 6/16 = 3 3/8 lb.
hey, could someone help me?
Answer:
Juan rode more slowly
Step-by-step explanation:
Have a nice day
Walden gives the pizza delivery person an $8.00 tip, which was 12% of the cost of his pizzas. How much was the total amount that Walden spent? Round your answer to the nearest cent.
ANSWERS WITH WEIRD FILE THINGYS WILL BE REPORTED IMMEDIATLY
Answer:
$17
Step-by-step explanation:
Tip = $8.00
Pizzas cost:
First you have to do 12% of $8.00 which = $0.96
Then you have to add the $0.96 to the $8.00 which = $8.96
Total = $8.00 + $8.96
= $16.96
then round it to nearest cent which is $17
Answer:
$74.67
Step-by-step explanation:
$8 was 12% of the cost of the pizzas, so we have to add that to the initial cost. The initial cost can be found by (8*100)/12, which would be $66.67. Since we need to find the total amount of money spent, we have to add the initial cost of pizzas and the $8 tip, which is 12% of that. Final answer is $74.67
PLZZZ help with this
Answer:
I D K A and C but B is 776 and 29 D is 101 and 8 I hope i helped
Step-by-step explanation:
(b) 5x^2+1
5(5)^2+1
25^2+1
775+1
776
x^2+4
5^2+4
25+4 29
(d) 5x^2+1
5(2)^2+1
10^2+1
100+1
101
x^2+4
2^2+4
4+4
8
(7q+7)+(9q+1)
please
help
Answer:
16q + 8
Step-by-step explanation:
(7q+7)+(9q+1)
7q + 7 + 9q + 1
16q + 8
Answer:
16q+8
hope this helps :)
Mr. Peralta had $300 in his savings account in March. He continued to add money to his savings account and by August, the value of the savings account had increased by 20%. How much money is in Mr. Peralta’s account in August?
Identify and label the point on the double number line that represents the original amount of money in Mr. Peralta's savings account.
Answer:
ima say $360.correct me if im wrong-^-
Step-by-step explanation:
The total amount of money in Mr. Peralta's savings account is $360.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Mr. Peralta had $300 in his savings account in March.
By August, the value of the savings account had increased by 20%.
Let, 'x' be the total amount after an increase of 20%.
So, 120% of $300 is 'x'.
Therefore,
(120/100)×300 = x.
300×1.2 = x.
x = 360.
So, By august total money in his account is $360.
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Two simple question Brainliest, 5 stars and Thanks too you pls HELP!!!!
Zunairah went to Joe's doughnuts and purchased two dozen glazed doughnuts. Her total was $6.00. What is the unit rate per doughnut?
Aayan drove his Lambo 5,432 miles in 24 hours. How many miles did he drive in 1 hour?
Answer:
1. The unit rate per donut is 1/4 or .25
2. Aayan drove 226 and 1/3 miles every hour
ONE QUESTION just one. Help
Answer:
0.015625
Step-by-step explanation:
Answer:
(1/64) or 0.015625
Step-by-step explanation:
Pretty simple, you just have to square the numerator and denominator. 1 squared is 1 and 8 squared is 64.
i think i have the answer doing this to make sure :) thank u so much if u answer
Answer:
i think it is B but put what u think and tell me if u thought B is corrrect though thank u have a great day
Step-by-step explanation:
What's the answer to this please help. :)
A help me outtt rq i dont know
i only need help with number 10 and 12 owo
GIVING BRAINLIEST
Look at the Stem-and-Leaf charts shown below. What is the highest value?
A) 92
B) 97
C) 132
D) 133
CAN YOU HELP ME PLEASE!!!!!!!!!!!!!!!!!
[tex]1)1296\\2)1/8\\3)1/64[/tex]
Use the picture where it says a, b, c, d those are the steps
Step-by-step explanation:
Direction: Opens down
Focus: ( 0,-0.1)
Axis of Symmerty: X=0
Directix: y=0.1
Type [tex]y=-2.5xx^{2}[/tex] on a algebra calcator and it will show you the graph and the eqaution.
Hope this helps!
Hannah buys 3 pairs of shoes for $x each. She uses a $10 off coupon. She
spent a total of $35. Write an equation that can be used to find the cost of each pair of shoes.
Answer:
$15 per pair
Step-by-step explanation:
We know that the total amount of money she spent on the shoes (without discount) is 3x. Since she used a $10 off coupon, the money she spent is 3x - 10, since $10 off means - 10. And this amount equals $35:
[tex]3x - 10 = 35\\3x = 45\\x = 45/3 \\x = 15[/tex]
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⚡✨
find the gcf of 14,35,84
Answer:
7
Step-by-step explanation:
Match the verbal description with the part of the graph it describes.
1. The part of the graph that stays the same is
2. The part of the graph that slowly decreases at a constant rate is
3. The part of the graph that slowly increases at a constant rate is
4. The part of the graph that increases at an increasing rate is
5. The part of the graph that quickly decreases at a constant rate is
6. The part of the graph that quickly increases at a constant rate is
Answer: 1. F
2. C
3.a
4. E
5. D
6. B
Step-by-step explanation:
This right rectangular prism is filled with -foot unit cubes.
What are the actual dimensions of the prism?
How many unit cubes are in this prism?
What is the total volume of the prism, in cubic feet?
Help me please please I really need this
Answer:
area of triangular logo = ½ × base × height
= ½ × 8 × 11
2
= 22 in²
Answer:
22
Step-by-step explanation:
If you multiply the base times height, which would be 8 * 5 1/2, You get 44. Then multiply that by 1/2 to get the area, and you get 22.
Hope this helps!
biased means: when a sample does not accurately represent the population.
random sample means: a sample that is NOT BIASED.
help I cant remember what is A slope
Answer: A slope is basically basically a number that describes the steepness and direction of the line.
To solve for a slope of the line, it is simply rise/run
RISE = How much did the line go up
RUN = How much did the line go in a horizontal fashion
what is the answer!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! AAAAAAAAAAA
Answer:
4
Step-by-step explanation:
10/2.5=4
help me solve this thanks!!1 : )
Eight years after opening her savings account, Macy had $7,880 in the account which earns annual simple interest. If Macy started with $5,000 in her account and did not make any additional deposits or withdrawals, what was the approximate annual interest rate on the savings account?
7.2%
4.5%
8%
19.7%
the approximate annual interest rate on the savings account is 7.2%.
What is simple interest?Simple interest is the amount of interest charged on a specific principal amount at a specific interest rate. Compound interest, on the other hand, is the interest that is computed using both the principal and the interest that has accumulated over the preceding period.
Given, Eight years after opening her savings account, Macy had $7,880 in the account which earns annual simple interest.
from the general formula of Simple interest:
Simple interest(SI) = p*r*t/100
where, p = principal amount
r = rate of interest
t = time
in our case
p = 5000,
SI = 7880 - 5000 = 2880
t = 8
Thus,
2880 = 5000 * r *8/100
r = 2880/50*8
r = 7.2%
Thus rate of interest = 7.2%
therefore, the approximate annual interest rate on the savings account is 7.2%.
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Please Show work and explain.
1. The enrollment in dance class is currently 80 students and is increasing at a rate of 4 students per term. The enrollment in choir is 120 students and is decreasing at a rate of 6 students per term. After how many terms will the number of students in dance equal the number of students in choir? How many students will be in each class?
2. Horizon Phone Company charges $15 a month plus 10 cents per text. G-Mobile charges a flat rate of $55 per month with unlimited texting. At how many texts would the two plans cost the same? Which plan is the better deal if you send 200 texts per month?
Answer:
1. 4 terms
2a. 400 texts
2b. Horizon phone company
Step-by-step explanation:
1. 80 + 4 x 4 = 96
120 - 6 - 6 - 6 - 6 = 96
2a. 55-15=40x10=400
2b. You need 400 texts to eaven out for g mobile.
6th grade math- Please help i will give brainlyest and thanks and rate 5/5 (btw please no silly answers, thanks!)
Answer:
144 ft^2
Step-by-step explanation:
Here we have a trapezoid with a triangle inside.
The legs of the trapezoid are 18 ft and 8 ft, and so the average length of the trapezoid is (18 + 8)/2 ft, o 13 ft. The total area of the trapezoid is thus:
A = (13 ft)(16 ft) = 208 ft^2
Now we must find the area of the white triangle and subtract it from the area of the trapezoid already found. The area formula for a triangle i
A = (1/2)(base)(height), which in this case is A = (1/2)(8 ft)(16 ft), or
A = 64 ft^2.
Subtracting the area of the triangle from that of the trapezoid yields
Area of figure = 144 ft^2
Caleb throws a ball three times for his dog Leo. For each throw, Leo either
catches the ball or misses it. Identify the sample space (the correct list of
possible outcomes) for the results.
C = catch, M = miss
The notation CMC means Leo caught the first ball, missed the second one,
and caught the third one.
A. {CCCC, CCMM, MMMM}
B. {CCC, CCM, CMC, MCC, MMC, MCM, CMM, MMM}
C. {CCC, CMC, MMM}
D. {CC, CM, MC, MM}
Answer:
B {CCC, CCM, CMC, MCC, MMC, MCM, CMM, MMM}
Step-by-step explanation:
Ima try to explain this in the process of elimination:
A isn't right since he only throws the ball 3 times
C isn't right, since he could catch it, miss, then catch again and would still match the criteria stated.
D Isn't right since he threw it 3 times, not twice
that only leaved B to be correct! Hope this helps!