Answer:1/2(2)(4.4)(5) + 1/3(1/2)(2)(4.4)(3.9)
The product of [tex](8.8 \times 10^{6} )(5 \times 10^{2})[/tex] is [tex]4.4 \times 10^{9}[/tex]. The correct option is B, 4.4 × 109
From the question,
We are to determine the product of (8.8 × 106)(5 × 102)
First, we will write the expressions properly
The given expression written properly is
[tex](8.8 \times 10^{6} )(5 \times 10^{2})[/tex]
Now, the product of the expression can be determined as shown below
[tex](8.8 \times 10^{6} )(5 \times 10^{2})[/tex]
This becomes
[tex]8.8 \times 10^{6} \times 5 \times 10^{2}[/tex]
= [tex]8.8 \times 5 \times 10^{2}\times 10^{6}[/tex]
= [tex]44 \times 10^{2}\times 10^{6}[/tex]
= [tex]44 \times 10^{2+6}[/tex]
= [tex]44 \times 10^{8}[/tex]
= [tex]4.4 \times 10^{9}[/tex]
Hence, the product of [tex](8.8 \times 10^{6} )(5 \times 10^{2})[/tex] is [tex]4.4 \times 10^{9}[/tex]. The correct option is B, 4.4 × 109
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The area of a rectangle, A = 1 x w is represented by the expression 24x^6y^15 Which could be the dimensions of the
rectangle?
Answer:
A. 2x^5y^8 and 12xy^7
Step-by-step explanation:
The question is on laws of indices
when we have x^a × x^b = x^(a+b)
Given in the question 24x^6y^15
24 could be 2×12............for the length and width
Then x^6 = x^1 × x^5 = x^(1+5) = x^6
And y^15 = y^8 ×y^7 = y^(8+7) = y^(15)
Answer:
The correct answer is :[tex]l=2x^5y^8,w = 12xy^7[/tex]
Step-by-step explanation:
Let the dimension of the rectangle be l and w.
A = [tex]24x^6y^{15}[/tex]
[tex]24x^6y^{15}=l\times w[/tex]
A) If the dimension are :
[tex]l=2x^5y^8,w = 12xy^7[/tex]
Area of the rectangle
[tex]= 2x^5y^8\times 12xy^7=24x^6y^{15}=A[/tex]
B) If the dimension are :
[tex]l=6x^2y^3,w = 4x^3y^5[/tex]
Area of the rectangle
[tex]= 6x^2y^3\times 4x^3y^5=24x^5y^{8}\neq A[/tex]
C) If the dimension are :
[tex]l=10x^6y^{15},w = 14x^6y^{15}[/tex]
Area of the rectangle
[tex]= 10x^6y^{15}\times 14x^6y^{15}=140x^{12}y^{30}\neq A[/tex]
D) If the dimension are :
[tex]l=9x^4y^{11},w = 12x^2y^4[/tex]
Area of the rectangle
[tex]= 9x^4y^{11}\times 12x^2y^4=108x^6y^{15}\neq A[/tex]
describe the association between the altitude and the temperature.
Altitude is how high or low you are in relation to sea level, while temperature is how hot or cold it is. Altitude often effects the temperature. As high altitude places are usually get cold.
Hope this helps!
Nadir saves $1 the first day of a month, $2 the second day, $4 the third day, and so on. He continues to double his savings each day. Find the amount that he will save on the fifteenth day.
Question 3 options:
$16,384
$29
$32,768
$8192
Answer:
$16,384
Step-by-step explanation:
The amount of money Nadir saves increases exponentially by a factor of 2. If you keep multiplying each previous number by 2 until you get to the 15th number, (2*2, 4*2, 8*2, 16*2), you will get 16,384.
Answer:
$16,384
Step-by-step explanation:
Let's find the general equation for his savings:
The first day he saves $1 = [tex]2^{0}[/tex]
The second day, $2 = 1*2 = [tex]2^{1}[/tex]
The third day, $4 = 1*2*2 = [tex]2^{2}[/tex]
The fourth day, $8 = 1*2*2*2 = [tex]2^{3}[/tex]
In general, in the n-th day, he saves [tex]2^{n-1}[/tex]
With this, we can calculate the amount that he will save on the fifteenth day:
[tex]2^{15-1} = 2^{14} = \$16,384[/tex]
PLSS HELP asap thank you
Answer:
68 - C = m
If he completes 33 it means :
c = 33
Substituting this in the equation we have :
m > 68 - 33
m > 35
Answer:
I think the first one is 68-c=m and the 2nd one is 35
Step-by-step explanation:
Jeez i hope im right i had to think really hard for some reason. I havent done this is a while >.<
13. Which is Not independent
14 . 2 coins tossed , probability
Answer:
13. B) You pull a green tile from a bag of tiles, return it, and then pull a yellow tile.
14. A) 1/2.
How this helps you! (:
-Hamilton1757
Answer:
13. Option 1
14. Option 2 : 1/4
Step-by-step explanation:
13. First option is correct.
If two marbles are drawn from a bag without replacement then the second event will depend upon the first event i.e. the occurrence of first event will affect the occurrence of second event.
14. If two coins are tossed, the outcomes are
S = {HH, HT, TH, TT}
There is only one outcome that favors the given scenario i.e. first coin showing heads and second showing tails.
So, probability of showing heads first and then second showing tails = 1/4
So second option is correct..
The range of the function f(k) = k2 + 2k + 1 is {25, 64}. What is the function’s domain?
R; all quadratic functions are going to have *ALL REAL NUMBERS*.
PLEASE HELP RIGHT AWAY
Answer:
$106,147
Step-by-step explanation:
The price of the house is $160,000. The value of the house is going down by 5% each year, and we need to find the price of the value after 8 years.
Year 0:
$160,000
Year 1:
$160,000×0.95 = $152,000
Year 2:
$152,000×0.95 = $144,400
Year 3:
$144,400×0.95 = $137,180
Year 4:
$137,180×0.95 = $130,321
Year 5:
$130,321×0.95 = $123,804.95
Year 6:
$123,804.95×0.95 = $117,614.7025
Year 7:
$117,614.7025×0.95 = $111,733.967375
Year 8:
$111,733.967375×0.95 = $106,147.26900625 ≈ $106,147
Therefore, the correct answer is the second ONE. ✔️✔️
solve 8/t+5 = t-3/t+5 + 1/3
[tex] \frac{8}{t} + 5 = t - \frac{3}{t} + 5 + \frac{1}{3} \\ \\ 1. \: \frac{8}{t} = - \frac{3}{t} + \frac{1}{3} \\ \\ 2. \: 24 = 3t^{2} - 9 + t \\ \\ 3. \: 24 - 3t^{2} + 9 - t = 0 \\ \\ 4. \: 33 - 3t ^{2}- t = 0 \\ \\ 5. \: t = \frac{1 + \sqrt{397} }{ - 6} \: \frac{1 - \sqrt{397} }{ - 6} \\ \\ 6. \: t = - \frac{1 + \sqrt{397} }{6} \: - \frac{1 - \sqrt{397} }{6} [/tex]
Answer:
Final answer is t=7.
Step-by-step explanation:
[tex]\frac{8}{t+5}=\frac{t-3}{t+5}+\frac{1}{3}[/tex]
[tex]=\frac{8}{t+5}\cdot3\left(t+5\right)=\frac{t-3}{t+5}\cdot3\left(t+5\right)+\frac{1}{3}\cdot3\left(t+5\right)[/tex]
[tex]8\cdot3=3\left(t-3\right)+\left(t+5\right)[/tex]
[tex]24=3t-9+t+5[/tex]
[tex]24=4t-9+5[/tex]
[tex]24=4t-4[/tex]
[tex]24+4=4t[/tex]
[tex]28=4t[/tex]
[tex]\frac{28}{4}=t[/tex]
[tex]7=t[/tex]
[tex]t=7[/tex]
Hence final answer is t=7.
when the center line is one solid yellow line and one broken yellow line,who may cross the line to pass
A. Traffic on the side with the broken yellow line. The dashes signify the “openness” of the ability that the drivers on that side have to pass.
Answer:
A). Traffic on the side with broken yellow line
Step-by-step explanation:
A solid yellow line used in two lane roadways where passing or crossing is strictly prohibited. It is dangerous and may lead to serious accidents while violating this.
On the other hand, broken yellow line on the roadways indicates that vehicles moving can pass or cross the road when only it is safe to cross the lane.
Therefore, when the center line is one solid yellow line and one broken yellow line, then the vehicles on the side of the broken lines may cross the line to pass only when it is safe to cross.
what kind of distribution is shown in the frequency table?
Answer:
Skewed to the right
Step-by-step explanation:
As we can see in the table, the first three intervals have smaller frequency and last 4 intervals have higher frequency values. When the class intervals and frequency will be plotted on graph while taking class intervals on x-axis and frequency at y-axis, the graph will be skewed to the right because of the larger frequency values in the last intervals..
Hello any help on this question would help. Can answer be in points(x,y)
Answer: The line that passes through the points (0,1) and (-7,0). Observe the graph attached.
Step-by-step explanation:
By definition, a line intersects the y-axis when the value of "x" is zero ([tex]x=0[/tex]), then if the y-intercept is 1, then the point where the line intersects the y-axis is:
(0,1)
By definition, a line intersects the x-axis when the value of "y" is zero ([tex]y=0[/tex]), then if the x-intercept is -7, then the point where the line intersects the x-axis is:
(-7,0)
Therefore, now you know this, you can graph a line that passes through the points (0,1) and (-7,0). Observe the graph attached.
Answer:
Check the attached graph
Step-by-step explanation:
Given that y-intercept is 1.
That means graph passes through the point (0,1).
Given that x-intercept is -7.
That means graph passes through the point (-7,0).
Now we need to graph the line using above information. So begin by graphing both points .
Now draw a line joining both points to get the final graph.
Find the surface area of the cylinder to the nearest whole number. The figure is not drawn to scale
Answer:
The best possible answer is A
Step-by-step explanation:
Answer:
Option A is correct that is Surface Area of the Cylinder is 1659 in.²
Step-by-step explanation:
Given:
Radius of the Cylinder , r = 11 in.
Height of the Cylinder , h = 13 in.
We have to find the Surface Area of Cylinder to the nearest Whole number.
We know that,
Surface Area of the Cylinder = 2πr(r+h)
= 2 × 22/7 × 11 ( 11 + 13 )
= 2 × 22/7 × 11 × 24
= 1659.42 in.²
= 1659 in.² (nearest whole number)
Therefore, Option A is correct that is Surface Area of the Cylinder is 1659 in.²
Avery weighs x pounds. Jada weighs 18 pounds more than Avery. Which expression tells how much the two of them weigh together? x + 18 x + x + 18 x + 18 + x + 18 x + x - 18
Answer:
Second option: [tex]x + x + 18[/tex]
Step-by-step explanation:
You know that "x" represents the Avery's weigth (in pounds).
Let be "y" the weight of Jada in pounds.
Since Jada weighs 18 pounds more than Avery, you can write this expression:
[tex]y=x+18[/tex]
The weight of them together is:
[tex]weight\ together=x+y[/tex]
Substituting, you get:
[tex]weight\ together=x+x+18[/tex]
Therefore, the expression that tells how much the two of them weigh together is the one provided in the second option:
[tex]x + x + 18[/tex]
Simplify the expression 5xy^2(3+ 2x) - 6xy(4xy + 3y)
NEED HELP ASAP MARKING BRAINLEST
find the value of x, rounded to the nearest tenth.
Answer:
x ≈ 9.2
Step-by-step explanation:
When 2 chords of a circle intersect, then the product of the measures of the parts of one chord is equal to the product of the measures of the parts of the other chord, that is
5x = 9 × 5.1 = 45.9 ( divide both sides by 5 )
x ≈ 9.2
Which sample is better for making a prediction? Explain. Sample A: A random sample of 10 customers leaving a store Sample B: A random sample of 100 customers leaving a store
Answer: Sample B: A random sample of 100 customers leaving a store
Step-by-step explanation: In mathematics and especially when gathering data, you will gather the most accurate results with a larger portion. The larger portion will ensure a more accurate reading.
Please answer right away. This is my last attempt
Answer:
1510 vehicles
Step-by-step explanation:
First you need to determine how many feet cars and trucks occupy.
In 5 miles:
Cars fill up 80% = 0.80 x 5 miles = 4 miles
Trucks fill up 20% = 0.20 x 5 miles = 1 mile
Because we know the lengths and distances of the cars and trucks in feet, let's convert the miles they cover into feet.
Cars = 4 miles x 5280 ft/mile = 21,120 ft
Trucks = 1 mile x 5280 ft/mile = 5280 ft
So how many cars would there be if they covered at least 21,120 ft?
Considering that there is 3 ft between each car and a car has a length of 13.5 ft, a single car will cover 16.5 ft.
To see how many cars then fit in 21,120 ft, just divide it by the distance one car covers.
[tex]\dfrac{21,120ft}{16.5 ft/car} = 1,280 cars[/tex]
So how many trucks would there be if they covered at least 5,280 ft?
A truck is 20 ft long and again there is a space of 3 ft in between. So we add that up to see how many feet a single truck needs.
20 ft + 3 ft = 23 ft
We then take that total and divide the feet covered by trucks.
[tex]\dfrac{5,280ft}{23ft/truck}= 229.57 trucks[/tex]
Since we cannot have half a truck, we round that off to the nearest whole number which will be 230 trucks.
So we add the number of trucks and cars to get the number of vehicles in total:
1280 + 230 = 1,510 vehicles
A computer manufacturer spends $2,000 per day in operating costs. The company realizes a profit of $385 for each computer (x) sold. Which is the constant value in this situation?
Answer:
$2000
Step-by-step explanation:
the profit would be determined by how many computers are involved, so that would vary
Answer:
2000
Step-by-step explanation:
MATHHHHHHHHHHHHHHHHHHHHHH
Like $45.95 I think I’m sorry if you get it. Wrong
The question is based on exponential growth, the worker will be earning an hourly wage of $10.00 after approximately 5.9 years of receiving a 4% annual raise.
Explanation:The subject of this problem is exponential growth, which is based on the formula y = a(1 + r)^t, where a is the initial amount, r is the rate of growth (expressed as a decimal), and t is the time period. In this case, your initial wage (a) is $7.95 per hour and the rate of growth (r) is 4% or 0.04. The future wage (y) is $10.00 per hour. So, the equation becomes:
10 = 7.95 * (1.04 ^t).
To solve for 't', you first divide both sides by 7.95 to isolate (1.04 ^t) on one side, resulting in 1.26 = (1.04 ^t).
You then take the natural logarithm (log base e, also represented as 'ln') of both sides of the equation to eliminate the exponential, resulting in ln(1.26) = t * ln(1.04).
Finally, you divide both sides by ln(1.04) to solve for 't', resulting in an approximate value of 't' as 5.9 years.
Therefore, the worker will be earning $10.00 per hour approximately after 5.9 years.
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7 and 1/2 divided by 1
If you divide any number by 1, the answer is itself. The answer is 7 and 1/2.
Hope this helps!
Answer:
7 1/2
Step-by-step explanation:
Take it like the following scenario.
There are 7 1/2 M&M's left in a bag.
Neither of your friends want any so you get to have all of them.
So, the 7 1/2 M&M's divided by one person is 7 12 since all of the M&M's go to you.
[Rememember that any number you divide by 1, the answer is itself
Ex: 4 divided by 1 = 4]
I hope this helps!
distance between -3 1/4 and -6 1/2
ANSWER
[tex]3 \frac{1}{4} [/tex]
EXPLANATION
We want to find the distance between
[tex] - 3 \frac{1}{4} [/tex]
and
[tex] - 6 \frac{1}{2} [/tex]
This numbers can be located on the number line.
The distance between them is the absolute value of the difference between the two numbers.
[tex] | - 6 \frac{1}{2} - - 3 \frac{1}{4} | [/tex]
[tex] | - \frac{13}{4} | [/tex]
[tex] = \frac{13}{4} [/tex]
[tex] = 3 \frac{1}{4} [/tex]
A hyperbolic mirror can be used to take panoramic photos, if the camera is pointed toward the mirror
with the lens at one focus of the hyperbola. Write the equation of the hyperbola that can be used to
model a mirror that has a vertex 4 inches from the center of the hyperbola and a focus 1 inch in front of
the surface of the mirror. Assume the mirror has a horizontal transverse axis and the hyperbola is
centered at (0, 0).
Answer:
The equation of the hyperbola is x²/16 - y²/9 = 1
Step-by-step explanation:
* Lets study the equation of the hyperbola
- The standard form of the equation of a hyperbola with
center (0 , 0) and transverse axis parallel to the x-axis is
x²/a² - y²/b² = 1
- The length of the transverse axis is 2a
- The coordinates of the vertices are (±a , 0)
- The length of the conjugate axis is 2b
- The coordinates of the co-vertices are (0 , ±b)
- The coordinates of the foci are (± c , 0),
- The distance between the foci is 2c where c² = a² + b²
- The distance between the vertex and the focus in-front of it is c - a
* Now lets solve the problem
- The distance from a vertex to the center of the mirror
∵ The vertex of the mirror is (a , 0)
∵ The distance between a vertex and the center of the mirror
is 4 inches
∴ a = 4
∵ The distance between the vertex and a focus in front of the surface
of the mirror is 1
∵ The distance between the vertex and the focus in-front of it is c - a
∴ c - a = 1
∴ c - 4 = 1 ⇒ add 4 to the both sides
∴ c = 5
- The mirror has a horizontal transverse axis and the hyperbola is
centered at (0, 0)
∴ The equation of the hyperbola is x²/a² - y²/b² = 1
- Lets find b from a and c
∵ c² = a² + b²
∵ c = 5 and a = 4
∴ (5)² = (4)² + b²
∴ 25 = 16 + b² ⇒ subtract 16 from both sides
∴ 9 = b² ⇒ take √ for both sides
∴ b = ±3
- Lets write the equation
∴ x²/(4)² - y²/(3)² = 1
∴ x²/16 - y²/9 = 1
* The equation of the hyperbola is x²/16 - y²/9 = 1
The distance of the focus from the center is the sum of the distance from
the focus to the surface and the vertex distance.
Correct response:
[tex]The \ equation \ of \ the \ hyperbola \ that \ models \ the \ mirror \ is \ \underline{\dfrac{x^2}{16} - \dfrac{y^2}{9} = 1}[/tex]Details of the method used to find the equationGiven:
Distance of the vertex from the center = 4 inches
Distance of the focus from the mirror surface = 1 inches
Coordinates of the center of the mirror = (0, 0)
Required:
To write the equation of the hyperbola that can be used to model the mirror
Solution:
The equation of an hyperbola having an horizontal transverse axis is presented as follows;
[tex]\mathbf{\dfrac{(x-h)^2}{a^2} - \dfrac{(y-k)^2}{b^2}} = 1[/tex]Where;
(h, k) = The coordinate of the center
a = Center to vertex distance
b² = c² - a²
Where;
c = The from the center to the vertex
Therefore;
a = 4
(h, k) = (0. 0)
c = 4 + 1 = 5
b² = 5² - 4² = 9
b = √9 = 3
The equation of the hyperbola is therefore;
[tex]\dfrac{(x - 0)^2}{4^2} - \dfrac{(y - 0)^2}{3^2} = \underline{ \dfrac{x^2}{16} - \dfrac{y^2}{9} = 1}[/tex]Learn more about the equation of a hyperbola here:
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Find the average rate of change between f(-7) and f(-1) in the function f(x)=x^2+2x -8
Solve the equation by replacing x with -7 and then -1.
Then subtract the two to find the difference and divide that by the difference between -7 and -1.
f(-7) = -7^2 + 2(-7) -8 = 49 -14 -8 = 27
f(-1) = -1^2 + 2(-1) -8 = 1 -2 - 8 = -9
Difference between 27 and -9 = -36
Difference between -1 and -7 = -6
Rate of change = -36 /-6 = 6
find the area (all sides meet at a 90 degree angle)
Answer:
Can I see the options because the way the test worded this question is a bit confusing
Step-by-step explanation:
Which benefits do employers commonly offer to full-time employees?
401(k) plan
free gasoline
health insurance
life insurance
paid vacation
rent
Reset
need help ASAP.
Employers frequently offer full-time employees benefits such as health insurance, retirement plans like 401(k)s, life insurance, paid vacation, and tuition reimbursement, in addition to legally required contributions to Social Security and unemployment insurance.
Employers often provide a range of benefits to their full-time employees beyond the usual salary. Common benefits include:
Health insurance, which helps cover medical expenses that are not covered by public health care plans.
Retirement plans, such as a 401(k) plan where employees can have a portion of their salary deducted and invested for retirement, often with some form of employer match.
Life insurance, offering financial security to an employee's beneficiaries in the event of their passing.
Paid vacation, allowing employees to have paid time off from work.
Tuition reimbursement programs, where employers provide financial support to employees who pursue further education.
These benefits are crucial as they provide a sense of security and support employees’ work-life balance, health and welfare, and professional development.
In addition to these, employers are required by law to make contributions towards legally required benefits such as Social Security, unemployment, and worker's compensation insurance. Some employers may offer additional perks like telecommuting options or employee assistance programs. However, benefits like free gasoline, rent, or sabbaticals are less common and tend to be specific to certain companies or industries.
Please help! :)
Solve for x to the nearest tenth.
X^2+x-5=0
Answer:
1.8, -2.8
Step-by-step explanation:
1.8, -2.8 in decimal form rounded to the nearest tenth.
In quadratic form its originally [tex]x=\frac{-1+\sqrt{21} }{2} ,\frac{-1-\sqrt{21} }{2}[/tex]
Hope this helps
Help, please!! 88points
Answer:
7.5 ab and cd
4 bd and ac
Step-by-step explanation:
Answer:
i believe the answer is 7.5 ab and cd, 4 bd and ac
Factor completely 2x2 + 2x − 12.
2(x − 3)(x + 4)
2(x − 2)(x + 3)
(2x − 4)(x + 3)
(2x − 3)(x + 4)
Answer:
2(x−2)(x+3)
Step-by-step explanation:
2x^2+2x−12
=2(x−2)(x+3)
2(x-2)(x+3) is your answer :)
Jim would like to create a pencil holder with no top. He would like it to be 5 inches tall and 3 inches wide. He cannot decide if he would like to make it have a square base or a circular base. If the material costs $0.75 per square inch, hom much more would it cost to make a cylinder than a square prism?
Answer:
[tex]\$11.13[/tex]
Step-by-step explanation:
step 1
Find the surface area of the cylinder
The surface area of the cylinder is equal to
[tex]SA=\pi r^{2} +2\pi rh[/tex]
we have
[tex]r=3/2=1.5\ in[/tex] ----> the radius is half the diameter
[tex]h=5\ in[/tex]
assume
[tex]\pi =3.14[/tex]
substitute
[tex]SA=(3.14)(1.5)^{2} +2(3.14)(1.5)(5)=54.165\ in^{2}[/tex]
Find the cost
[tex]54.165*(0.75)=\$40.62[/tex]
step 2
Find the surface area of the square prism
The surface area of the prism is equal to
[tex]SA=b^{2} +4bh[/tex]
we have
[tex]b=3\ in\\ h=5\ in[/tex]
substitute
[tex]SA=(3)^{2} +4(3)(5)=69\ in^{2}[/tex]
Find the cost
[tex]69*(0.75)=\$51.75[/tex]
step 3
Find the difference of costs
[tex]\$51.75-\$40.62=\$11.13[/tex]
Leah has 28 more marbles than Dan. 1/3 of Leah’s marbles is equal to 4/5 of Dan’s marbles. Find the number of marbles Leah has.
Answer:
Leah has 48 marbles.
Step-by-step explanation:
Represent the number of marbles that each person has by L and D.
Leah has 28 more marbles than Dan: L = D + 28.
Then (1/3)L = (4/5)D. Here the LCD is 15, and so multiplying this equation by 15 will remove the fractions: 15(1/3)L = 15(4/5)D.
Therefore, 5L = 12D, and D = 5L/12.
Then, since L = D + 28, L = (5/12)L + 28, or
12L = 5L + 336, or
7L = 336, or
L = 336/7 = 48.
Leah has 48 marbles. That means that Dan has 20 marbles.
The number of marbles Leah has is 48 and Dan is 20 if Leah has 28 more marbles than Dan. 1/3 of Leah’s marbles is equal to 4/5 of Dan’s marbles.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Leah has 28 more marbles than Dan. 1/3 of Leah’s marbles is equal to 4/5 of Dan’s marbles.
Let x be the number of marbles Leah has.
Let y be the number of marbles Dan has.
Leah has 28 more marbles than Dan:
x = y + 28
(1/3)x = (4/5)y
Solving above two linear equation, we get:
5x = 12y
5(y + 28) = 12y
5y + 140 = 12y
12y - 5y = 140
7y = 140
y = 140/7 = 20
x = 20 + 28 = 48
Thus, the number of marbles Leah has is 48 and Dan is 20 if Leah has 28 more marbles than Dan. 1/3 of Leah’s marbles is equal to 4/5 of Dan’s marbles.
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