Answer:
The difference of weight is [tex]2[/tex] pounds.
Step-by-step explanation:
Given: The line plots shows the weights of [tex]9[/tex] grapefruits
To find: The difference in the total weight of all the [tex]1\frac{1}{2} lb[/tex] grapefruits and the total weight of all the [tex]1 \frac{1}{4}lb[/tex] grapefruits.
Firstly, we need to convert the given mixed fractions as following:
[tex]1\frac{1}{2} lb=\frac{2+1}{2}=\frac{3}{2}lb[/tex]
[tex]1\frac{1}{4} lb=\frac{4+1}{4}=\frac{5}{4}lb[/tex]
Now, we know that,
Point diagrams divide a sample into different classes, and allow to observe the frequencies of each class.
In this case, the different weights of the grapefruit constitute the classes. From a sample of 10 grapefruit, some will weigh others weigh.
We need to observe the dot diagram to know how many grapefruit we have of weight [tex]\frac{3}{2} lb[/tex] and how many grapefruit we have of weight [tex]\frac{5}{4} lb[/tex]. In other words, we need to know, in the diagram, how many points there are about class of [tex]\frac{3}{2} lb[/tex] and how many points there are about class of [tex]\frac{5}{4} lb[/tex].
Then, the total difference between all grapefruit of pounds and all grapefruit of pounds is calculated as follows:
[tex]x (1\frac{1}{2} ) - y (1\frac{1}{4} ) = Z[/tex]
Where
[tex]Z[/tex]: Weight difference
[tex]x[/tex]: Quantity of [tex]1\frac{1}{2} lb[/tex] grapefruit
[tex]y[/tex]: Quantity of [tex]1\frac{1}{4}lb[/tex] grapefruit
Suppose that of the [tex]10[/tex] total grapefruits, [tex]3[/tex] of them weigh [tex]1\frac{1}{2} lb[/tex] and [tex]2[/tex] of them weigh [tex]1 \frac{1}{4}[/tex] pounds. This is: [tex]x=3[/tex] and [tex]y=2[/tex]
Now,
[tex]3(\frac{3}{2} )-2(\frac{5}{4} )[/tex]
[tex]=\frac{9}{2} -\frac{5}{2}[/tex]
[tex]=\frac{4}{2}[/tex]
[tex]=2[/tex]
Hence, for this case, the difference of weight is [tex]2[/tex] pounds.
I
A 10 kg box is pulled across the floor at a constant speed. If the force of pull was 70 N at
a 30° angle:
a. What was the force of friction
b. What was the coefficient of friction
Answer:
Acceleration equals zero because of constant velocity
[tex]f - fr = ma \\ 70 \cos(30) - fr = 0 \\ 70 \cos(30) = fr \\ fr \: = 60.62[/tex]
coefficient
Fr = coefficient × r
60.62= ce ×100
0.60 = coefficient
A football player has made 80% of the field goals he has attempted in his career. If he
attempts 45 field goals in a season, how many would he be expected to make?
PLEASE ANWSER SERIOUSLY
Answer:
im pretty sure its 56.25 cus 45= 80% of 56.25
Step-by-step explanation:
I WILL GIVE YOU BRAINLY PLSS
There are 256 vehicles in a car dealership’s lot. At least 113 of them are hybrid
vehicles. Which inequality describes how many vehicles, at most, are not hybrid?
A. ≤ 143
B. 143
D. ≥ 143
PLSS SHOW YOUR WORK PLSS
Answer: A
Step-by-step explanation:
What number is 40% of 160?
Try to explain
Answer: 64
Step-by-step explanation:
40% of 160
40/100 x 160
6400/100
64
Did I explain this well?
Answer: 64
Step-by-step explanation: So you would start off with the ratio of 40:100 other known as in fraction form 40/100 and you know of means to multiply so you grab the numbers 160 and 40 and mulitiply those digits together and you get 6400. This is where the 100 comes to place and you divide the 6400 by 100 and you get 64.
Plz help and I will give brainliest
A family wants to save $100 each month. They record their progress toward this goal at the end of each month. In January they saved $120 and recorded 1$20 at the end of the month. What should they record for the month of February if they only saved $80 that month? Explain.
If you put anything random as the answer I WILL report
Answer:
200 dollars
Step-by-step explanation:
Answer:
$200.
Step-by-step explanation:
$200 because if they save $120 then $80, $200.
(120+80=200.)
Hope this helps plz hit the crown :D
sorrry for not answering earlier
After 2 week he has used 8 1/2 cups of dog food after 5 week he has used 21 1/4 cups construct a function in the form y =mx+ to represent the amount of dog food used y, after x weeks
Answer:
y = 4.25x
Step-by-step explanation:
Given that:
After 2 week he has used 8 1/2 cups of dog food after 5 week he has used 21 1/4 cups, we can write this in coordinate form (x, y) where;
y is the amount of dog food
x is the time in weeks
The coordinates are (2, 8 1/2) and (5, 21 1/4)
get the slope m:
m = y2-y1/x2-x1
m = (21 1/4 - 8 1/2)/5-2
m = (85/4-17/2)/3
m = (85-34/4)/3
m = 51/12
m = 4.25
Get the intercept c:
Substitute any of the points say (2, 17/2) and m = 51/12 into the equation
y = mx+c
17/2 = 51/12(2) + c
17/2 = 51/6 + c
c = 17/2 - 51/6
c = 51-51/6
c = 0
Get the required equation:
substitute m - 4.25 and c = 0 into y = mx+c
y = 4.25x + 0
Hence the required equation is y = 4.25x
please help it is due at 4:15
Answer:
$2720
Step-by-step explanation:
Interest = P×R×T /100
= 2000×12×3 /100
=72000/100 = $720
Amount = Principal + Interest
= $2000+$720 =$2720
Simplify the exponential expression 48 Superscript one-half.
2 (24 Superscript one-half Baseline)
3 (16 Superscript one-half Baseline)
4 (3 Superscript one-half Baseline)
16 (3 Superscript one-half Baseline)
Answer:
the answer is C here you go for anyone needing it
Step-by-step explanation:
Answer:
The answer is C. (2)
Step-by-step explanation:
24a+48=9(2a-4) please
Answer:
a = -14
Step-by-step explanation:
1. distribute
24a + 48 = 9(2a - 4)
24a + 48 = 18a - 36
2. subtract 48 from both sides of the equation
3. simplify
4. subtract 18a from both sides of the equation
5. simplify
6. divide both sides of the equation by the same term
7. simplify
solution: a = -14
hope this helped!
Write the equation of the line using slope-intercept form
with the following information:
( 1,9) and (2,3)
Answer:
its 1290 ans there is the awer
The numbers –12, –7, –2, 3, . . . follow a pattern. What are the next three numbers in this pattern? A. 8, 13, 18 B. 5, 10, 15 C. 2, 8, 13 D. 8, 14, 17
Answer:
A.
Step-by-step explanation:
5 is added each time
3 + 5 = 8
8 + 5 = 13
13 + 5 = 18
Answer:
8,13,18
Step-by-step explanation:
freh points for da butter dog the dog wit da butter
Answer:
tanks for the freh points
Step-by-step explanation:
we all like freh points
Answer:
butter dog sounds cool
Step-by-step explanation:
EXOTIC BUTTERS?
please help quick time
Answer:
[tex]Area = 34.2cm^2[/tex]
Step-by-step explanation:
Let the three sides be a, b and c respectively.
Such that:
[tex]a = 8[/tex]
[tex]b = 9[/tex]
[tex]c= 10[/tex]
Required
Determine the area
This is calculated as:
[tex]Area = \sqrt{s(s-a)(s-b)(s-c)[/tex]
Where
[tex]s = \frac{1}{2}(a + b + c)[/tex]
Substitute values for a, b and c
[tex]s = \frac{1}{2}(8 + 9 + 10)[/tex]
[tex]s = \frac{1}{2}(27)[/tex]
[tex]s = 13.5[/tex]
Substitute values for a, b, c and s in
[tex]Area = \sqrt{s(s-a)(s-b)(s-c)[/tex]
[tex]Area = \sqrt{13.5 * (13.5 - 8)* (13.5 - 9)* (13.5 - 10)[/tex]
[tex]Area = \sqrt{13.5 * 5.5* 4.5* 3.5[/tex]
[tex]Area = \sqrt{1169.4375[/tex]
[tex]Area = 34.2[/tex] -- Approximated
A board game uses a bag of 105 lettered tiles. You randomly choose a tile and return it to the bag. The table shows the number of vowels and the number of consonants after 50 draws. Predict the number of vowels in the bag.
This is what the table says:
Vowels Consonants
18 32
Answer:
38
Step-by-step explanation:
thats the answer
need a correct answer please
Answer:
102°
Step-by-step explanation:
∠PQR = ∠PQS + ∠SQR
12x - 6 = 16 + 9x + 17
3x = 27
x = 9
∠PQR = 102°
i need help pleaseee
screen shot attatched
Answer:
1,200 cubic cm
Step-by-step explanation:
First, you separate it into two prisms, which gives you two different volume formulas.
14*20*2 = 560
20*4*8 = 640
You then add the two volumes together, which equals 1,200
Answer:
sorry wish i could help....
Step-by-step explanation:
1. The difference of five times a number and 6 is -2.
Answer:
13
Step-by-step explanation:
5-x+6=-2
X=13
Thomas got a flat tire and had to walk 1/4 mile to the nearest gas station. How many feet did Thomas walk?
Answer:
[tex]1320\ \text{feet}[/tex]
Step-by-step explanation:
The distance Thomas walked to the nearest gas station is [tex]\dfrac{1}{4}\ \text{mile}[/tex].
The conversion factor for miles to feet is
[tex]1\ \text{mile}=5280\ \text{feet}[/tex]
So
[tex]\dfrac{1}{4}\ \text{mile}=\dfrac{1}{4}\times 5280[/tex]
[tex]=1320\ \text{feet}[/tex]
Hence, Thomas had to walk [tex]1320\ \text{feet}[/tex] to get to the nearest gas station.
PLEASE HELP!! Will mark brainlest!!
Which number is equivalent to 16 1/2
A. 2
B. 4
C. 8
D. 32
Answer:
I'm not even lying, it's none of them ;-;
btw if you want, can you give me brainliest :((
Answer:
4
Step-by-step explanation:
16^(1/2)
when bringing a number to the power of a fraction the denominator becomes the order of the root and the numerator becomes the power of the number
we are left with an order 2 root, which is a square root
[tex]16^\frac{1}{2}=\sqrt[2]{16}=4[/tex]
At Shop and Save Grocery Store, apples cost $3.59 a pound. If you buy 2.5 pounds, how much will it cost? Round your answer to the nearest cent.
Answer:
$8.98
Step-by-step explanation:
3.59+3.59+1.80
what is this? answer quickly please
Answer: t= 11.5
Step-by-step explanation: 5 + (-11.5+3) = 3.5
Answer:
T = -3.7
Step-by-step explanation:
We begin with the given equation.
5(t+3)=-3.5
Distribute 5 throughout parentheses.
5t + 15 = -3.5
Move 15 to the other side and switch signs.
5t = -3.5 - 15
Combine like terms.
5t = -18.5
Divide by 5t.
t = -3.7
A cone has a diameter labeled twelve centimeters and a height labeled thirty-two centimeters. Find the area of a vertical cross section through the center of the base of the cone.
Answer:
[tex]A=0.0192[/tex]
Step-by-step explanation:
Diameter labeled twelve centimetres D =12cm => 0.12
height labeled thirty-two centimetres H= 32cm => 0.32
Generally the vertical cross section of this cone is a triangle
Mathematically solving
Area of vertical cross section through the center of the base of the cone is given by [tex]A=1/2 D*height[/tex]
[tex]A=R*H[/tex]
Therefore
[tex]A=\frac{0.12}{2} *0.32[/tex]
[tex]A=0.06 *0.32[/tex]
[tex]A=0.0192[/tex]
-6k+7k
So I'm not sure that it's k because I need to simplify? Can someone help me
Answer:
k
Step-by-step explanation:
its just k, since 1k can be simplified to just k
HEELLPPP!!!!! fastttt plzzzzz!
The sales for products sold at an electronic store are below. What percent of the products sold were speakers?
Answer:
6.00%
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
One-third of Olivia age , increased by 12 , is equal to twice her age , decrease by 3. How old is Olivia
Answer:
she would be 9
Step-by-step explanation:
Answer:9
Step-by-step explanation:
When 80 is decreased by 15%, the new number is
Answer:68
Step-by-step explanation:
Percentage decrease = 15% × 80
New value =
80 - Percentage decrease =
80 - (15% × 80) =
80 - 15% × 80 =
(1 - 15%) × 80 =
(100% - 15%) × 80 =
85% × 80 =
85 ÷ 100 × 80 =
85 × 80 ÷ 100 =
6,800 ÷ 100 =
68
What is greater -3.2 or -3
Answer:
-3 is greater
Step-by-step explanation:
Have a good day :)
Function g is a transformation of the parent exponential function. Which statements are true about function g?
FAKE ANSWERS WILL BE REPORTED!!
Using function concepts, it is found that the correct options are:
Function g is positive over the interval [tex](-\infty, \infty)[/tex].The range of function g is [tex](3, \infty)[/tex].Function g has a y-intercept of (0,4).What is the parent exponential function?The parent exponential function is defined by:
[tex]y = e^x[/tex]
In this problem:
When [tex]x = 0, e^x = 1[/tex], while [tex]g(x) = 4[/tex] when x = 0, hence it is 4 - 1 = 3 units above function f.From the graph, it is above the x-axis in the interval [tex](-\infty, \infty)[/tex], hence it is positive in this interval.The range is the set that contains all output values, that is, all values of y, hence it is [tex](3, \infty)[/tex].The domain is the set that contains all possible input values, hence it is [tex](-\infty, \infty)[/tex].The y-intercept is (0, g(0)), hence (0,4).Function g is increasing over the entire interval.To learn more about function concepts, you can take a look at https://brainly.com/question/16948935
a teacher buys all 5 books. She pays with a $100 bill. How much change should she get
Answer:
how much are the books. ????
Answer:
How much does each book cost?
For each year that a gift card goes unused, the value of the card decreases by 5%. What is the value of a $25.00 gift card after 1 year? Show your work.
Answer:
25*0.95 = 23.75
Step-by-step explanation:
i multiplied by 0.95 because the card is still worth 95% of it's original worth.
you could've done:
25*0.05= 1.75 and then subtract that from 25 to get 23.75, i just find the other way easier.
i hope this helped :)