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.
Elwood invested $5,000 in a money market account and has been tracking its progress. He found that after 3 years, the account held $7,100 and after 8 years, the account held $10,350.
Answer:
The percent of interest is 12.3% per year
Step-by-step explanation:
According to the question Elwood invested 5000 $ in market account
The market account gives the compound interest annually
let p be the interest per year then
At the end of 1st year
amount =(1+0.p) x 5000 = 1.p x 5000
similarly at the end of 2nd year
amount =(1+0.p) x(1+0.p)x 5000 = [tex](1.p)^{2}[/tex] x 5000
similarly at the end of 3rd year
amount = 7100 $ = [tex](1.p)^3[/tex] x 5000
⇒ [tex]\frac{71}{50}[/tex] = [tex](1.p)^3[/tex]
1.392 = [tex](1.p)^3[/tex]
on further solving we get
1.p = [tex](1.42)^{1/3}[/tex] = 1.123
thus 1.p = 1 + 0.p = 1.123
thus p = 0.123
thus the percent of interest is 12.3% per year
Answer:
drop down 1 a slower rate per year
drop down 2 670
Step-by-step explanation:
as in three years you get $7100
you take that and subtract it by your starting amount (5000)
7100-5000= 2100
then divide 2100 by the number of years (3)
to get your annual rate of 700$
then you take the 8 year total and subtract it from your 3 year total
10350-7100= 3250
Then divide that by 5 because that how many years it has been
to get the annual rate of 650
making the 5 year rate slower.
The to find the average rate over all 8 year you take 10350 and subtract it from your starting number 5000
10350-5000= 5350
then take 5350 and divide it by the number of years (8)
you then get you average rate of 668.75
668.75=670
Hope this helps!
4(4x -4) + x +4= -46
Answer:
X=-2
Step-by-step explanation:
Let's solve your equation step-by-step.
4(4x−4)+x+4=−46
Step 1: Simplify both sides of the equation.
4(4x−4)+x+4=−46
(4)(4x)+(4)(−4)+x+4=−46(Distribute)
16x+−16+x+4=−46
(16x+x)+(−16+4)=−46(Combine Like Terms)
17x+−12=−46
17x−12=−46
Step 2: Add 12 to both sides.
17x−12+12=−46+12
17x=−34
Step 3: Divide both sides by 17.
17x
17
=
−34
17
x=−2
Answer:
x=−2
Answer:
x=2
Step-by-step explanation:
Hope this helps!! If you need step by step I'll comment it in the comments.
Martin has 13 liters of soda.
Each glass can hold of a liter
of soda. How many glasses can
Martin completely fill with soda?
Answer:
13
Step-by-step explanation: If each glass can hold 1 liter than 13 glasses can hold 13 liters.
Which value of x makes the equation true?
3.1 – 6
3
71 - 3
6
A.
-11
B.
-9
C.
-3
D. 3
Answer:
B. -9
Step-by-step explanation:
PLATO correct
Use the Product Rule to find the derivative of :
a.[tex]y=(3x-1)^3(2x+5)[/tex]
b. [tex]y=(3x-2)(2x^2+3)[/tex]
Answer:
see explanation
Step-by-step explanation:
Using the product rule
Given
y = f(x)g(x) , then
[tex]\frac{dy}{dx}[/tex] = f(x).g'(x) + g(x).f'(x) ← product rule
(a)
let
f(x) = (3x - 1)³ , then using the chain rule
f'(x) = 3(3x - 1)² × [tex]\frac{d}{dx}[/tex](3x - 1) = 3(3x - 1)² × 3 = 9(3x - 1)²
let
g(x) = 2x + 5 ⇒ g'(x) = 2
Then
[tex]\frac{dy}{dx}[/tex] = (3x - 1)³ . 2 + (2x + 5) × 9(3x - 1)²
= 2(3x - 1)³ +9(3x - 1)²(2x + 5) ← factor out (3x - 1)²
= (3x - 1)²[ 2(3x - 1) + 9(2x + 5) ]
= (3x - 1)² [ 6x - 2 + 18x + 45 ]
= (3x - 1)²(24x + 43)
--------------------------------------------------------------
(b)
let
f(x) = 3x - 2 ⇒ f'(x) = 3
let
g(x) = 2x² + 3 ⇒ g'(x) = 4x
Then
[tex]\frac{dy}{dx}[/tex] = (3x - 2).4x + (2x² + 3). 3 ← distribute parenthesis
= 12x² - 8x + 6x² + 9
= 12x² - 8x + 9
Note
It is usual to simplify after differentiating the expressions
Solve the equation for y.
4x = -2y
A. y= 1/2x + 2
B. y= -1/2x
C. Y= -2x
D. y = x + 2
Answer:
Answer is C...........................
Step-by-step explanation:
Answer:
C.) y = -2x
Step-by-step explanation:
To solve for y, u gotta divide both sides by -2 to get y by itself. When u do that, u get -2x.
Which expression uses the greatest common factor and the distributive property to rewrite the sum 45 + 20?
5(9+4)
9(5)+20
5(11+4)
4(5+5)
this is all i ask, just please give me the answer
Answer:
92
Step-by-step explanation:
161 divided by 7 is 23. so you just multiply 4 by 23. And that gets you the answer. Hope this helps:)
Answer:
x=92
Solve for x by simplifying both sides of the equation, then isolating the variable. hopes this helps have a great day <3 :)
How long is a string reaching from the top of a 15 ft pole to a point 8ft from the bottom of the pole
Answer:
15.8
Step-by-step explanation:
So top of 15ft + 0.8 ft = 15.8 ft
meaning the strings needs tobe 15.8 ft long
John,Kris,and Monica are playing catch with a frisbee. They are standing in a triangle, as shown below .
Monica can only throw the frisbee 75 feet. If she throws the frisbee as hard as she can to John, will it reach him?
Answer:
Ur seriously taking Charles Geometry exam, and post the question here
Step-by-step explanation: Since ur so desperate by asking here evelyn, the answer is D since monica can only throw 75 feet and John is 70 feet away from her.
A company provides commisssion to its agent at the following rate.
-0.5% in the sale upto Rs.15 lakh
-1% in the sale from 15 lakh to Rs.25 lakh
-1.5% in the sale from Rs.25 to Rs.40 lakh
-2% in the sale above Rs.40 lakh
calculate the amount of commission that can be obtained from the following sale amount by using the above rate of commission
a.Rs.12 lakh
b.Rs.24 lakh
c.Rs.38 lakh
d.60 lakh
Answer:
A company provides commisssion to its agent at the following rate.
-0.5% in the sale upto Rs.15 lakh
-1% in the sale from 15 lakh to Rs.25 lakh
-1.5% in the sale from Rs.25 to Rs.40 lakh
-2% in the sale above Rs.40 lakh
calculate the amount of commission that can be obtained from the following sale amount by using the above rate of commission is 38 lakh
I need help please ten points for question number three !!!!!!!!.......!!!!!!.....
Answer:
where is the question though
Step-by-step explanation:
Answer:
what
Step-by-step explanation:
Simplify 30 - 5(15- 10).
A. -55
B. 125
c. 20
D. 5
Answer:
Your answer is D i guess
Step-by-step explanation:
Here you go mate
step 1
30 - 5(15- 10) equation/question
step 2
30 - 5(15- 10) simplify
30-(5)^2
30-25
answer
5
A bag contains five red marbles and six blue marbles. Another bag contains five green marbles and five yellow marbles. You randomly pick one marble from each bag. One marble is blue and one marble is yellow.
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.
help???????
dhdjdjmsjd
Answer:
1/2 over 7/8
Step-by-step explanation:
becauseim smartt
Answer:
the bridge is 90ft long.
Step-by-step explanation:
3/18=15/x
solve for x
use reciprocals to get x as numerator for easier calculation
18/3=x/15
270/3=x
x=90ft
Write the number seven hundred and ninety four in figures
Answer: 56 785 is written as fifty six thousand, seven hundred and eight five. The number 406 090 is written as four hundred and six thousand and ninety. Numbers with seven, eight or nine digits, are millions. 46 758 442 is forty six million, seven hundred and fifty eight thousand, four hundred and forty two.
Step-by-step explanation:
The number would be 794 in figure form which represents seven hundred and ninety-four.
What is the number system?A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9. Based on the basic value of its digits, different types of number systems exist.
Calculating the number of quantities for an object or the Number of things left in the container are only two examples of the types of mathematical operations that utilize the Number System.
We have to write the number seven hundred and ninety-four in figures
As per the given statement, the expression would be:
⇒ 700 + 94
⇒ 794
Therefore, the number seven hundred and ninety-four in figure form would be 794.
Learn more about the number system here:
https://brainly.com/question/21751836
#SPJ5
Please help me with question 4 thank you !!
Answer:
b) similar by SSS theorem
Step-by-step explanation:
Consider function h. h(x)= 3x-4 x<0 2x^2-3x+10 0<=x<4 2^x x>=5 What are the values of the function when x=0 and when x=4?
Answer:
[tex]h(0) = 10[/tex]
[tex]h(4) = NaN[/tex] (Not a number)
Step-by-step explanation:
According to the statement, we get the following piecewise function:
[tex]h(x) = \left\{ \begin{array}{ccc}3\cdot x -4,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,x < 0\\2\cdot x^{2}-3\cdot x + 10,\,\,\,\,\, 0\le x < 4\\2^{x}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, x\ge 5\end{array}[/tex]
The value of the function when [tex]x = 0[/tex] is:
[tex]h(0) = 2\cdot (0)^{3}-3\cdot (0) +10[/tex]
[tex]h(0) = 10[/tex]
The value of the function when [tex]x = 4[/tex] is undefined, since 4 is out of any of the intervals covered by [tex]h(x)[/tex].
[tex]h(4) = NaN[/tex] (Not a number)
Answer: h(0)=10
h(4)=30
Step-by-step explanation:
Hello Pleasa help ASAP !!!!
Write the equation of a line that is parallel to y = -x + 7
and passes through the point (-4, 1). Write your answer
in slope-intercept form, y = mx + b.
Answer:
y= -x-3
Step-by-step explanation:
A line is parallel to another line if their slope is the same. In this case the slope is -1 (-x is basically -1x). So far we have y=-x+b (We dont know what b is yet). next we can insert the coordinate back into the equation y=-x+b where 1 is the y and -4 is the x.
We get...
y= -x+b
1= -(-4)+b
1=4+b
b=-3
Our final equation is y=-x-3
Hope this helped
Does anyone know this??? I need help please
Answer:
32
Step-by-step explanation:
QC = 16 and CS = 16 so 16 + 16 = 32
0.5a - 1.96
a=17, b=3
0.5a - 1.9b =
(Type an integer or a decimal.)
Answer:
2.8
Step-by-step explanation:
0.5a - 1.9b
~Substitute
0.5(17) - 1.9(3)
~Simplify
8.5 - 5.7
~Subtract
2.8
Best of Luck!
please find the area of this irregular shape
Answer: 10 sq units
Step-by-step explanation:
Area of triangle: 1/2 x b x h
1/2 x 2 x 2 = 2
Area of the left triangle is 2 sq units
1/2 x 4 x 2 = 4
Area of the right triangle is 4 sq units
Area of square: l x w
2 x 2 = 4
Area of square is 4 sq units
Area of figure: A of square + A of r tri. + A of left tri.
4 + 4 + 2 = 10
The area of the figure is 10 sq units.
Brian invests £4000 into his bank account.
He receives 7% per year compound interest.
How many years will it take for Brian to have more than £8000?
Answer:
14 years
Step-by-step explanation:
£280 is 7% of 4000 so £4000 euro more would be 4000/280 = 14
WILL GIVE BRAINLIEST !! Ella needs at least $360 to pay for her spring break expenses and she is saving $25 from each of her weekly paychecks. How long will be before she can pay for her trip?
Answer:
At least 15 weeks
Step-by-step explanation:
If Ella needs at least $360, she will have to save her $25 constantly for about 15 weeks.
25*15=375, which is more than 360, so she will have leftover money.
Answer:
2 weeks + 1day
Step-by-step explanation:
7 days a week. 7 + 7 = 14
25 x 14 = $350, missing another 10 dollars.
25 x 15(adding a extra day) = 275.
in change, you have 15 dollars left.
Solve for x
PLS HURRY
wut anime do u guys watch comment down below and you'll get brainliest as well 2x2 just in case it would deleted i will also put math equations 2x3x4x5
What is 2+2
A) 22
B) 4
C) 38
D) 55
Answer:
B
Step-by-step explanation:
Answer: 4
______
_\ _~-\___
= = ==(____AA____D
\_____\___________________,-~~~~~~~`-.._
/ o O o o o o O O o o o o o o O o |\_
`~-.__ ___..----.. )
`---~~\___________/------------`````
= ===(_________D
Animals hair grows at a rate of 1 •10^-5 miles per hour.How many miles will animals Jaír grow after 500 hours?Express answer scientific notation
Answer:
0.005
Step-by-step explanation:
10^-5 =0.00001
0.00001x1= 0.00001
0.00001x 500=0.005 miles