2. A set of barbells consist of red and blue discs. Discs with the same color have the same mass. Using a balance,
Lia found that 7 blue discs balance 1 red disc and a 5kg mass, while 2 blue discs and a red disc balance a 4kg
mass. Find the masses of the red and blue discs. (2kg, 1kg)
Let r be the mass of a red disc and b the mass of a blue disc.
7 blues have the same mass as 1 red along with a 5 kg mass, so
7b = r + 5
7b - r = 5
2 blues and 1 red have the same mass as a 4 kg mass, so
2b + r = 4
Solve for b and r . Notice that adding the equations together eliminates r :
(7b - r) + (2b + r) = 5 + 4
9b = 9
b = 1
Then
7 • 1 - r = 5
r = 7 - 5
r = 2
So each red disc has a mass of 2 kg, and each blue disc has a mass of 1 kg.
Help Really quick
The table shows data collected from 14 people.
Shoe Size, x 8.5 9 9 9.5 10 10 10.5 10.5 11 11 11 12 12 12.5
Height (inches), y 66 68.5 67.5 70 70 72 71.5 70 71 71.5 73 73.5 74 74
Determine the correlation coefficient for the data. Round to the nearest hundredth.
r=
Answer:
i need the answer ;(
Step-by-step explanation:
A population of kangaroos is growing at a rate of 2% per year, compounded continuously. If the rate continues, how many years will it take of the population to reach 150% of its current size according to the exponential growth function?
Answer:
75 years.
Step-by-step explanation:
Divide 150 by 2, that gives you the years.
HELP ME OUT PLS AND TY
Answer:
No, the line does not pass (0,0).
No, the line does not pass (0,0)
Brainliest Appreciated!
Answer:
NoNoI hope this helps!
Interpreting Unit Rates on Graphs - Item 1820
Questio
The graph shows the temperature of a liquid that is being heated during an experiment
Three of the statements are true. Which is NOT?
Temperature ("C)
(6.5, 26)
Time (min)
Answer:
what are the statements?
Step-by-step explanation:
Answer:
At this rate, it would take less than 10 minutes for the temperature of the liquid to rise 52°.
Step-by-step explanation:
i really hate math so please
Answer:
personally i think c
Step-by-step explanation:
its because for the graph there is 90 and it has a point and when i used a calc i put the points and the a=18 so 90 eould be 18 again this what i think i am not really AMAZING at it but i get some of it for ex the chart equals it only equals a=5
Maddox is stacking cans to make a display at the grocery store. The bottom row of the stack has 20 cans. Each row has 4 fewer cans than the row below it until there are no cans left.
How many rows of cans are in Maddox’s stack
Answer: 5
Step-by-step explanation:
Starting from the same place a plane took 1 hr longer to fly 705 mi to Atlanta, than to fly 470 mi to New Orleans. If the plane flew at the same rate for the entire trip, what was the flying time for the shorter leg? a. 1 2 hr c. 1 1 2 hrs b. 1hr d. 2 hrs
Answer: d. 2 hrs
Step-by-step explanation:
Let x = Time taken(in hours) to fly 470 mi to New Orleans. (Shorter leg)
Then Time taken to fly 705 mi to Atlanta= x+1 (longer leg)
Since the plane flew at the same rate for the entire trip.
i.e. Speed 705 mi to Atlanta = Speed to fly to New orleans
[tex]\Rightarrow\ \dfrac{705}{x+1}=\dfrac{470}{x}\ \ \ \ \ \ \ [\text{Speed}=\dfrac{\text{Distance}}{\text{Time}}]\\\\\Rightarrow\ 705x=470(x+1)\\\\\Rightarrow\ 705x=470x+470\\\\\Rightarrow\ 705x-470x=470 \\\\\Rightarrow\ 235x=470\\\\\Rightarrow\ x=\dfrac{470}{235} \\\\\Rightarrow\ x=2[/tex]
hence, the flying time for the shorter leg = 2 hours
So (d) is the correct option.
Can someone help me!
Honeydew melons are on sale at four different grocery stores. Which store
offers the lowest unit rate for honeydew melons, in dollars per pound?
$3.50
Happy Grocery:
7 pounds
.
sto
• Sullivan's:
5 pound
• Mother Nature:
$4.00
10 pounds
• Farmer's Pride: $0.45/pound
Answer:
Mother Nature
Step-by-step explanation:
Do you want one? Prolly will waste my time sorry :(
Answer:I would think c but let me check
Step-by-step explanation:
Write the following fractions in order of size
1/3
3/4
1/4
7/12
1/2
Start with the smallest fraction.
Ans wer 7/12 3/4 1/3 1/2
Step-by-step explanation:
Which ordered pair can be removed so that the resulting graph represents a function?
(–2, 2)
(1, 3)
(5, –4)
(–4, –4)
Answer:
(1,3)
Step-by-step explanation:
What is the range of the function graphed below?
(Please help!!) Arnold is paid a graduated commission on sales. He earns 7% on sales up to $10,000 and 10% on sales over that amount. His goal is to make $2,500 next month. How much will he need to sell?
Answer:
Step-by-step explanation:
10000*7%= $700.00
2500-700=1800
1800 is 10% of 18,000
So 18,000 +10,000 = 28,000 in sales is needed to get $2,500 in commission.
Denis orders a large pizza for $16.50 plus $2 for each topping. Sheng orders a medium pizza for $13.25 plus $2 for each topping.
Their bills will never be the same because the toppings cost the same.
Question must probably wants to know the number of toppings it would take for their bills to be equal.
Assume the number of toppings is x, Dennis's bill will be:
= Cost of Pizza + Cost of toppings x number of toppings
= 16.50 + 2x
Sheng's bill will be:
= 13.25 + 2x
Equate their bills to find the number of toppings that would equate their costs:
16.50 + 2x = 13.25 + 2x
16.50 - 13.25 ≠ 2x - 2x
3.25 ≠ 0
In conclusion, their bill will never be the same because the toppings are the same price.
Find out more at https://brainly.com/question/5607279.
Graph a scatter plot using the given data.
Answer:
Here is the answer.
Step-by-step explanation:
What is the solution to the equation?
2(x + 7)2/3 = 8
A. -15 and 1
B. -15
C. 1
D. no solution
Answer:
-1 option D (no solution)
Step-by-step explanation:
2(x + 7)2/3 = 8
2(X+7)2/3=8
4(X+7)=24
4x+28=24
4x=24-28
4x=-4
X=-4/4
X=-1
So the answer is -1
A triangle is translated by using the rule (X.Y) =(x-4.y+1). Which describes how the figure is moved?
2
four units left and one unit down
O four units left and one unit up
one unit right and four units down
O one unit right and four units up
HELP ASAP The number of hours you study for an exam affects your grade. What is a reasonable value of the range?
A) 75
B) 1.25
C) -30
D) 1/2
SI Unit is used for scientific work why?
Answer:
SI is used in most places around the world, so our use of it allows scientists from disparate regions to use a single standard in communicating scientific data without vocabulary confusion.
someone help simplify it
Answer:
a+11b/3
Step-by-step explanation:
Answer:
3 and 2/3b + 1a
Step-by-step explanation:
Simplifying b:
4b - 1/3b = 11/3b = 3 and 2/3b
Simplifying a:
-5a + 6a = 1a
The graph of the function B is shown below. If B(x) = -1, then what is x?
1
2
-1
Answer:
x = 2
Step-by-step explanation:
B(x) = - 1 means what is the value of x for y = - 1
This is the dot positioned at (2, - 1 )
with x = 2
Answer: its the first one
Step-by-step explanation:
hope thats what your lookinf for
all poets are loners. All loners are taxi drivers. therefore, all poets are taxi drivers
is this valid or invalid?
Answer:valid
Step-by-step explanation:
HELPPPP PLEASE!!!!!!
Answer:
y = 20Step-by-step explanation:
line RPN = 180 = 4y - 10 + 90 + y
180 - 90 + 10= 5y
100 = 5y
y = 100/5
y = 20
Simplify to create an equivalent expression. 617 - 3y) + 6(y + 1)
Answer:
623+3y
Step-by-step explanation:
You distribute the 6 then you add the ys and the numbers together
The length of a rectangle is 10 more than 10 twice the width , if the perimeter is 80inches find the length the width
Answer:
The width is 10 inches
The length is 30 inches
Step-by-step explanation:
Perimeter of a Rectangle
The perimeter of a rectangle of length L and width W is calculated as follows:
P = 2L + 2W
It's given the length of a rectangle is 10 more than twice the width:
L = 2W + 10
Substituting into the formula of the perimeter:
P = 2(2W + 10) + 2W
Operating:
P = 4W + 20 + 2W
P = 6W + 20
It's given this perimeter is 80 inches, thus
6W + 20 = 80
Subtracting 20:
6W = 80 - 20 = 60
Dividing by 6:
W = 60 /6 = 10
Since :
L = 2W + 10
L = 2*10 + 10
L = 30
The width is 10 inches
The length is 30 inches
can yall please help me i need this now
Answer:
74
Step-by-step explanation:
-3y-2=7 what is the value of y
Answer:
y = -3
Step-by-step explanation:
Add 2 to each side to isolate the -3y. Doing this leaves you with -3y=9. You then divide each side leaving you with y = -3
Answer:
The equation has one solution at which y = -3.
Step-by-step explanation:
To find the value of y, we need to isolate it from the rest of the equation.
Add 2 to both sides of the equation.Divide by -3 on both sides of the equation.Simplify the equation if necessary.[tex]\displaystyle{-3y-2=7}\\\\-3y = 9\\\\\bold{y = -3}[/tex]
We can check to make sure that y = -3 by substitution.
[tex]\displaystyle{-3(-3)-2 = 7}\\\\9-2=7\\\\7= 7 \ \checkmark[/tex]
Because we got a true statement, we can determine that y = -3.
Points c (-5,8) and d (2,5) lie in line cd, if points c and d are created by translating points c and d left 6 units, what is the slope of line c’
Answer:
Step-by-step explanation:
Remark
Moving 6 points left is not going to alter the slope (or it shouldn't).
The x value has to have 6 subtracted from it. Leave the y value alone.
Givens
C: (-5-6,8) = (- 11,8)
D: (2-6,5) = (-4,5)
Formula
m = (y2 - y1)/(x2 - x1)
Solution
m = (8 - 5)/(-11 - - 4)
m = 3 / - 7
m = - 0.429
Check
Let's find the slope of the original points.
(8 -5)/(-5 - 2) = 3/-7 which is the same thing.
Jackie solved the equation by completing the square.
x^2−8x+14=0
Which equation shows one of the steps Jackie could have taken to complete the square?
Question 1 options:
x^2−8x+64=−14
x^2−8x+16=−14
x^2−8x+64=−14+64
x^2−8x+16=−14+16
The question is Find the constant of proportionality in the graph below
Answer:
4.5
Step-by-step explanation: