Answer:
The system of linear inequalities to model the situation is written as:
x + y ≥ 5..... Equation 1
4x + 10y ≤ 100..... Equation 2
Step-by-step explanation:
Let
The number is soil = x
The number of plants = y
You are buying plants and soil for your garden.
You want to buy at least 5 plants
At least = greater than or equal to with the inequality sign(≥)
Hence:
x + y ≥ 5..... Equation 1
The soil cost $4 per bag and the plants cost $10 each and can spend no more than $100.
No more than means Less than or equal to with the inequality sign( ≤ )
Hence:
$4 × x +$10 × y ≤ $100
= 4x + 10y ≤ 100..... Equation 2
Therefore, the system of linear inequalities to model the situation is written as:
x + y ≥ 5..... Equation 1
4x + 10y ≤ 100..... Equation 2
A circle has an arc whose measure is 80° and whose length is 88. What is the diameter of the circle?
Answer:
length of arc=80/360×2πr
88×360=80×2×22/7×r
31680×7/(80×2×22)=r
r=221760/3520=63
diameter=2r=2×63=126
Easy area question
Need fast
Answer:
Ah I see it's the same it's a little more complex but I can do this as well.
But I can't type bcoz it will make it slow
so I'll write for this.ß
Solve the system of linear equations by substitution.
3x + y = -9
y=5x+7
Answer:
The solution is x = -2, y = -3
Step-by-step explanation:
Let's start with the equation 3x + y = -9
Substitute the y for 5x+7 seen in the second equation
Now you have 3x + (5x+7) = -9
Lets solve:
Let's add the x's
Now we have 8x + 7 = -9
Substracy seven from each side
Now we have 8x = -16
Now let's divide 8 on each side
Now we have x = -2
Now lets plug in -2 to the second equation
The second equation is y = 5x+7
When we plug in -2 we get y=5(-2)+7
We multiply
We now have y = -10+7
Add
y = -3
The solution is x = -2, y = -3
1800 peoples came for the football match. If this number is correct to the nearest hundred , give the maximum and minimum number of people that could have come.
Answer:
Minimum value = 1750
Maximum value = 1849
Step-by-step explanation:
Given that:
Number of people who came for match = 1800 (to the nearest hundred)
The maximum. And minimum number of people who came are ;
When rounding to tbe nearest hundred , the tens value which is after the the hundred value is either rounded to 0 or 1 depending on whether the the value is below 5 or greater than or equal to 5 respectively.
Hence,
Minimum value = 1750
Maximum value = 1849
Simon bought furniture for his apartment for a total of $2,900. The store financed his purchase for 18 months at 0% interest, and there is no minimum monthly payment amount. Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off.
Complete question :
Simon bought furniture for his apartment for a total of $2,900. The store financed his purchase for 18 months at 0% interest, and there is no minimum monthly payment amount. Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off.
Set up an equation such that Tn represents the total amount Simon still owes after n months.
Calculate the amount Simon still owes at the end of one year after his purchase.
Answer:
Tn = 2900 - 180(n - 1)
Tn = $920
Step-by-step explanation:
Cost of furniture = $2900
Assume no interest
Amount paid in first month = 0
Constant amount to be paid after first month = $180
T amount owed after n, months :
Tn = Cost of furniture - amount to be paid per month * (Number of months - 1)
Hence,
Tn = 2900 - 180(n - 1)
Amount owed at the end of one year after purchase :
Tn = 2900 - 180(12 - 1)
Tn = 2900 - 180(11)
Tn = 2900 - 1980
Tn = $920
The Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off is :
Tn = 2900 - 180(n - 1)
Tn = $920
"To understand the calculation, check below."
InterestWhat all information we have ?
Cost of furniture = $2900
Assume no interest
Amount paid in first month = 0
Constant amount to be paid after first month = $180
T amount owed after n, months :
Tn = Cost of furniture - amount to be paid per month * (Number of months - 1)
Tn = 2900 - 180(n - 1)
Tn = 2900 - 180(12 - 1)
Tn = 2900 - 180(11)
Tn = 2900 - 1980
Tn = $920
The Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off is Tn = $920.
Learn more about "Interest":
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Sophia scored 33 points in a basketball game. She scored four more two point baskets than three point baskets. Write a system equations in standard form that models this situation. How many three points baskets did Sophia make?
Answer:
5
Step-by-step explanation:
33p is separated into 3p and 2p
4 more 2p than 3p
5 3 points
9 2 points
there is a ratio of 5 girls to 3 boys in the chorus.there are 24 boys in the chorus.how many girls are in chorus
Answer:
40
Step-by-step explanation:
3 x 8 = 24
5 x 8 = 40
Simplify these rational expression. x^4+5x^3-2x^2+1/x^2+1
Answer:
-5x+4
Remainder: x^2+5x-3
Step-by-step explanation:
I hope this is helpful
The initial amount of bacteria in a culture is 12,000. The culture grows at a rate of 45% each day. Write an exponential function to model the population of y bacteria after x days. How many bacteria are there after 6 days?
Answer:
FV= 111,529.37 = 111,529
Step-by-step explanation:
Giving the following information:
Initial amount (PV)= 12,000
Growth rate (g)= 45% = 0.45
First, we will establish the future value formula:
FV= PV*(1+g)^n
FV= future value
n= number of days
FV= 12,000*(1.45^n)
For 6 days:
FV= 12,000*(1.45^6)
FV= 111,529.37
An airplane is flying from knoxville to new york. The distance it travels in miles, d, is related to the time in seconds, t, by the equation: d=0.12t. How many miles is it flying per second?
Answer:
0.12 miles is it flying per second.
Step-by-step explanation:
The distance d is related to time t in seconds is given by the equation as follows :
d =0.12 t
We need to find how many miles is it flying per second.
[tex]\dfrac{d}{t}=0.12\\\\\dfrac{\text{miles}}{\text{second}}=0.12[/tex]
So, the speed of the airplane is 0.12 miles per second, Hence, 0.12 miles is it flying per second.
expand and simplify (2x+5)2
Will give brainliest!!!The measure of an exterior angle of a regular 20-gon is?
[tex]\huge\sf{Answer :- }[/tex]
Given :- Sides of the polygon = 20To Find :- Exterior angle of the polygonFormula :-Exterior angle of the polygon = ( 360/ n )°
where,
n = number of sides of the polygon ( 20 sides)Solution :- By substituting values according to the formula➙ ( 360/ 20 )°
➥ 18°
Hence, The exterior angle of the polygon is 18°Answer:
answer of this qn will 360÷20= 18degree
Identify the function graphed.
Answer:
its B, A, C
Step-by-step explanation:
correct on edge
So can someone just help me solve this and tell me which terms belong together....ty-
In a grid of an auditorium, the vertices of a section of seats are A(40, 20) , B(80, 20) , C(100, 70) , and D(40, 70) . The coordinates are measured in feet. Find the area of the section.
Answer:
[tex]Area = 2900[/tex]
Step-by-step explanation:
Given
[tex]A (x_1,y_1) = (40,20)[/tex]
[tex]B (x_2,y_2) = (80,20)[/tex]
[tex]C (x_3,y_3) = (100,70)[/tex]
[tex]D (x_4,y_4) = (40,70)[/tex]
Required
Determine the Area
The area of the section is:
[tex]Area = \frac{1}{2}|(x_1y_2 + x_2y_3 + x_3y_4 + x_4y_1) - (y_1x_2 + y_2x_3 + y_3x_4 + y_4x_1)|[/tex]
Substitute values for the x's and y's
[tex]Area = \frac{1}{2}|(40 * 20 + 80*70 + 100*70 + 40*40) - (20*80 + 20*100 + 70*40 + 70*40)|[/tex]
[tex]Area = \frac{1}{2}|15000 - 9200|[/tex]
[tex]Area = \frac{1}{2}|5800|[/tex]
[tex]Area = \frac{1}{2} * 5800[/tex]
[tex]Area = 2900[/tex]
Hence, the area of the section is 2900ft^2
Identify the imaginary part of this complex number:
(1)/(2)+(-7)/(2)i
Answer:
-7/2i
Step-by-step explanation:
The imaginary part of the complex number is -7/2.
What is complex form?A complex number can be expressed in the polar form in addition to the rectangular form. Complex numbers are typically expressed as z = x + iy, where 'i' is a fictitious integer. Complex numbers are described as a union of argument and modulus in polar form, however.
We know a complex form,
a + bi, where the coefficient of 'i' is the imaginary part and the rest of the part is a real part
So,
[tex]\frac{1}{2} + (\frac{-7}{2} )i[/tex]
Compared to the standard form,
-7/2 is the imaginary part.
Therefore, -7/2 is the imaginary part.
To learn more about the complex form;
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help me so much rn plz plz
Answer:
5(9+x)
Step-by-step explanation:
5 x 9 = 45
then if do 5 times x it would look like 5x
A test of a new car results in 490 miles on 10 gallons of gasoline. Calculate the unit rate of miles per gallons. Sentence Frame: The new car test indicates ____ per ____.
Answer:
the answer is 49 miles per gallon
Please help I need it fast thanks!
Answer:
B
Step-by-step explanation:
You earn 4x+12 points after completing x levels of a Vedio game and then lose 2x-5 points. Write an expression that represents the total number of points you have now
If you could help I would really appreciate it, but if not that’s fine. Thank you.
write the ratio
14:56
in it's simplest form
Some one please help me !!!
Answer:
= 1 : 4
Step-by-step explanation:
14 : 56 in it's simplest form
= 14 / 56
= 1/4
= 1 : 4
14 : 56 = 1 : 4
Therefore, 14 : 56 in it's simplest form is 1 : 4
Sun estimated the quotient of –23.514 and –3.98 by rounding each to the nearest integer. Which equation shows the correct estimation? Negative 23.514 divided by negative 3.98 Negative 24 divided by negative 4 = 6 Negative 24 divided by 4 = negative 6 24 divided by 3 = 8 24 divided by negative 3 = negative 8
Answer:Negative 23.514 divided by negative 3.98 Negative 24 divided by negative 4 = 6 Negative 24 divided by 4 = negative 6 24 divided by 3 = 8 24 divided by negative 3 = negative 8
Step-by-step explanation:
Answer: -8
Step-by-step explanation:
While on a business trip to Brookfield, Haley treated her co-workers to a meal that cost $50. Haley knew that when the bill came, she would need to pay Brookfield sales tax of 14% and would want to leave an 18% tip on the original $50. Including tax and tip, how much did Haley's meal cost?
Answer:
$66
Step-by-step explanation:
The meal cost $50 without taxes.
The cost of tax:
$50*%14= $7
so she will pay a $7 tax
Also, she wants to tip %18 of the original $50 so:
$50*%18= $9
so she will tip $9
$50 + $7 + $9 = $66
If I got 562 on my 7th grade Math Diagnostic then what grade level am I?
Answer:
7th grade, I think
I looked it up but I am not 100% sure
Can anyone help me with this I need ASAP
Stir-fry is Felix's favorite food to cook, but it always makes a lot of smoke! Felix needs to know the volume of his kitchen so he can buy a fan that is the right size. Felix's kitchen has a floor area of 85 square feet. The height of the ceiling is 8 feet. What is the volume of Felix's kitchen?
Answer:
680
Step-by-step explanation:
85x8
Answer: 680 cubic feet
Step-by-step explanation:
V = B * hV = 85 * 8V = 680 cubic fettsolve the square root of 2x-5=x-4
Please help desperate due today please help
The distance a coiled spring stretches varies directly with the amount of weight hanging on the spring. If a spring stretches 2 cm when a 30 gram weight is hung from it, how far will it stretch when a 75 gram weight is hung from the spring?
Answer:
5 cm
Step-by-step explanation:
The distance a coiled spring stretches varies directly with the amount of weight hanging on the spring.
Distance = D
Weight = W
Hence:
D ∝ W
D = kW
Where k is constant of proportionality
Step 1
We solve for k
If a spring stretches 2 cm when a 30 gram weight is hung from it.
2 = 30k
k = 2/30
k = 1/15
Step 2
how far will it stretch when a 75 gram weight is hung from the spring?
D = kW
We are solving for D
k = 1/15
D = 1/15 × 75
D = 5 cm
The spring would stretch 5cm with a weight of 75 gram.