Answer:
The cost of one hosta is $6
Step-by-step explanation:
A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.
In this case, the variables are:
x = price of a hosta .y = price of a pot of ivy.If Kim spent $62 on 5 hostas and 4 pots of ivy, t his is represented by the equation: 5*x +4*y= 62
If Danielle spent $144 on 8 hostas and 12 pots of ivy, t his is represented by the equation: 8*x +12*y=144
So, the system of equations to solve is:
[tex]\left \{ {{5*x+4*y=62} \atop {8*x+12*y=144}} \right.[/tex]
One way to solve a system of equations is through the substitution method, which consists of solving or isolating one of the unknowns (for example, x) and substituting its expression in the other equation. In this way, you obtain an equation of the first degree with the other unknown, and. Once solved, you calculate the value of x by substituting the already known value of y.
Isolating y from the first equation:
[tex]y=\frac{62-5*x}{4}[/tex]
and replacing this expression in the second equation you get:
[tex]8*x +12*\frac{62-5*x}{4}=144[/tex]
Solving:
[tex]8*x +\frac{12}{4}*(62-5*x)=144[/tex]
8*x + 3*(62-5*x)=144
8*x + 3*62 - 3*5*x=144
8*x + 186 - 15*x=144
8*x - 15*x=144 -186
(-7)*x= -42
x= (-42)÷ (-7)
x= 6
The cost of one hosta is $6
a movie is advertised to last 2 1/3 hours. Of this time, 1/4 is used for showing previews. How long long is the actual movie?
Answer:
The movie is actually 3/28 hours.
Step-by-step explanation:
1
4
÷
2 1
3
=
1
4
÷
7
3
=
1
4
×
3
7
=
1 × 3
4 × 7
=
3
28
Two sides of an obtuse triangle measure 12 inches and 14 inches. The longest side measures 14 inches.
What is the greatest possible whole-number length of the unknown side?
2 inches
3 inches
7 inches
9 inches
Answer:
c
Step-by-step explanation:
The greatest possible whole-number length of the unknown side among the option is 9 inches.
Obtuse triangle
Obtuse triangle is a triangle that has one of it internal angle greater than 90 degrees.
Triangle inequality theorem:The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
If the sides of the triangles are x, y and z. Therefore,
x + y > z
x + z > y
y + z > x
Therefore, the greatest possible length among the option is 9.
Proof
12 + 14 > 9
12 + 9 > 14
14 + 9 > 12
learn more on triangle here: https://brainly.com/question/10373668
|-4/5-1/10| + |-3/4+5/2|
A.) 9/10
B.) 53/20
C.) 7/4
D.) 17/10
Answer:
B.) 53/20
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
|Absolute Value| makes any negative number positiveStep-by-step explanation:
Step 1: Define
|-4/5 - 1/10| + |-3/4 + 5/2|
Step 2: Evaluate
Subtract: |-9/10| + |-3/4 + 5/2|Add: |-9/10| + |7/4|Absolute Value: 9/10 + 7/4Add: 53/20Graph the equation 4x+9-3/5=10xy^3-49. Then solve for the square root of x
Answer: 4x+9-3/5=10xy^3-49
Step-by-step explanation: x+9-3/5-(10*x*y^3-49)=0
STEP
1
:
Equation at the end of step 1
3
((4x + 9) - —) - ((2•5xy3) - 49) = 0
5
STEP
2
:
3
Simplify —
5
Equation at the end of step
2
:
3
((4x + 9) - —) - (10xy3 - 49) = 0
5
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 5 as the denominator :
4x + 9 (4x + 9) • 5
4x + 9 = —————— = ————————————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(4x+9) • 5 - (3) 20x + 42
———————————————— = ————————
5 5
What should be done to both sides of the equation in order to solve n/4 = -12.4?
A. Multiply by 4.
B. Divide by 4.
C. Multiply by -12.4.
D. Divide by -12.4.
Answer:
I think is The little (D) -12.4.
The table shows the participation in a school's debate club during the last four years.
Year
1
2
3
4
Students
14
19
25
33
Between which two years did the club see the greatest growth? By what percent did it grow?
Round to the nearest percent. Use the drop-down menus to show and explain your answer.
The greatest growth was between years
and
The growth between those years was about
Answer:
Greatest growth was between : year 3 and year 4
Percentage growth was about 32%
Step-by-step explanation:
Given the data:
Year : ______1 ____ 2 _____ 3 _______ 4
Students: __ 14 ___ 19 _____ 25 ______ 33
Number of students :
Year 1 & year 2 = 19 - 14 = 5
Year 2 & year 3 = 25 - 19 = 6
Year 3 & year 4 = 33 - 25 = 8
Hence,The two years at which the greatest growth was observed is between year 3 and year 4.
Percentage growth :
((33 - 25) / 25) * 100%
(8 / 25) * 100%
0.32 * 100%
= 32%
Could someone help me with this one? I'm a tad stuck. I'll give brainliest to the correct answer!
Answer: 130 or a
Step-by-step explanation: 360-230=130
Answer:
130°
Step-by-step explanation:
First step you need draw a line from X to O and line Z to O. Both of them are radius.
as we know, radius and tangent line are always perpendicular. so the degree is 90° each.
shape of XYZO is kite with total of 360°
so the arc XZ have
360 - 50 - 90 - 90 = 130°
Kiran and Clare live 24 miles away from each other along a rail trail. One Saturday, the two friends started walking toward each other along the trail at 8:00 a.m. with a plan to have a picnic when they meet.
ANSWER: Kiran is jogging at 9.6 miles per hour.
3n+2 What is the value of the 3rd term?
Answer:
11.
Step-by-step explanation:
Plug n = 3 into the expression:
3(3) + 2 = 11.
The Internal Revenue Service estimates that 8% of all taxpayers filling out forms make mistakes. An IRS employee announces at lunch one day that she is going to check 25 randomly selected forms after lunch. Calculate the mean and standard deviation of the number of forms with mistakes she should expect to find.
Answer:
Mean = 2
Standard deviation = 1.356
Step-by-step explanation:
We are given;
Probability of taxpayers that make mistakes when filling out forms: p = 0.08
Sample size; n = 25
In binomial distribution;
Means is;
μ = np
Thus;
μ = 25 × 0.08
μ = 2
Formula for standard deviation here is;
σ = √(np(1 - p))
σ = √(25 × 0.08(1 - 0.08))
σ = 1.356
The required mean is 2 and standard deviation is 1.356 of the number of forms with mistakes she should expect to find.
Given that,
The Internal Revenue Service estimates that 8% of all taxpayers filling out forms make mistakes.
An IRS employee announces at lunch one day that she is going to check 25 randomly selected forms after lunch.
We have to determine,
The mean and standard deviation of the number of forms with mistakes she should expect to find.
According to the question,
Probability of taxpayers that make mistakes when filling out forms: p = 8%= 0.08
And sample size; n = 25
Therefore,
In binomial distribution mean is determine by the formula,
[tex]\mu = np\\\\\mu = 25 \times 0.08\\\\\mu = 2[/tex]
The mean of the number of forms with mistake she should expect to find is 2.
And, Standard deviation is determined by the formula,
[tex]\sigma = \sqrt{np(1-p)}\\\\\sigma = \sqrt{25\times 0.08 (1-0.08)}\\\\\sigma = \sqrt{2\times0.92}\\\\\sigma =\sqrt{ 1.84}\\\\\sigma = 1.356[/tex]
The standard deviation of the number of forms with mistake she should expect to find is 1.356.
Hence, The required mean is 2 and standard deviation is 1.356 of the number of forms with mistakes she should expect to find.
To know more about Standard deviation click the link given below.
https://brainly.com/question/19793958
2.20E17 in kilograms
Answer:
2.20E17 is 220,000,000,000,000,000 kg
What does this expression represents -3+3x^3. Is asking how many polynomial terms and what is the constant term and what the leading term is and what is the coefficien? Help me please
Answer:
constant term is -3, the leading term is 3x^3, the coefficient is 3.
Step-by-step explanation:
what is (–5) 2 and how do i solve
Answer:
(−5)2
Multiply −5 and 2 to get −10.
−10
The difference of y and 8.1 is 20.
Flnd the value of y.
Answer:
y = 28.1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Set Up Equation
"Difference" is subtraction
"y" is y
"8.1" is 8.1
"is" is equal
"20" is 20
y - 8.1 = 20
Step 2: Solve for y
Add 8.1 to both sides: y = 28.1Write in terms of i . Simplify your answer as much as possible. Square root -27
Answer:
3i[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] and [tex]\sqrt{-1}[/tex] = i
Given
[tex]\sqrt{-27}[/tex]
= [tex]\sqrt{9(3)(-1)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex] × [tex]\sqrt{-1}[/tex]
= 3i[tex]\sqrt{3}[/tex]
Between the time Ronald eats his dinner and the time he goes to bed, the outside temperature decreases 12°F. Before he gets up in the morning, the outside temperature decreases another 15°F. What integer represents the change in temperature from when Ronald eats dinner until he gets up the next morning? *
Answer:
-27
Step-by-step explanation:
I believe it's -27, because 12+15 =27. I made it negative because the temperature is decreasing, not increasing.
42 students are going on a field trip and need to ride in a bus. Each bus can hold 4 students. How many buses will the students fill completely?
Answer:
11 buses
Step-by-step explanation:
Divide 42 by 4 to get 10 and a remainder of 2. The 2 students not on the bus need another bus so you need 10+1=11 buses
A letter is chosen at random from the letters of the word ASSASSINATION, then the probability that the letter chosen is a vowel is in the form of 6/2x+1, then find x.
Step-by-step explanation:
In the word "Assassination",
there are 13 letters in total and 6 vowels.
Probability of picking a vowel = 6/13.
Since 6/(2x + 1) = 6/13, 2x + 1 = 13, x = 6.
I am leaving the life in brainly so take my gift
AnswBye
er:
Step-by-step explanation:
Answer:
Thanks
Step-by-step explanation:
Bye:(
Granola cost $2.79 for 16.4 ounces at this rate how much does 25 ounces of granola cost
Answer:
30
Step-by-step explanation:
16.4 divided by 2.79 is 5
Well its rounded to 5
25 + 5 = 30
Answer - 30
the sum of 1 and y is greater than or equal to 3 .
Inequality Answer: 1 + y ≥ 3
I hope this helps, and Happy Holidays! :)
Kayla invests $8,213 in a savings account with a fixed annual interest rate of 6% compounded continuously. What will the account balance be after 12 years?
Members of a lacrosse team raised $1352.50 to go to a tournament. They rented a bus for $802.50 and budgeted $25 per player for meals. Write and solve an equation which can be used to determine p, the number of players the team can bring to the tournament.
Answer: 22
Step-by-step explanation:
From the question the, we are informed that members of a lacrosse team raised $1352.50 to go to a tournament and that they rented a bus for $802.50 and budgeted $25 per player for meals.
The equation which can be used to determine p, the number of players the team can bring to the tournament would be calculated as:
802.50 + 25p = 1352.50
25p = 1352.50 - 802.50
25p = 550
p = 550/25
p = 22
They can bring 22 players to the tournament
Answer:22
Step-by-step explanation:
Some please help!! I will give brainliest
Answer:
[tex]f(x) = 3(x - 1)^{2}[/tex]
Step-by-step explanation:
This function should have a form similar to
[tex]f(x) = ax^{2} +bx+c[/tex]
The function that reminds me the most of the function that is drawn on the grid is the following function......
[tex]f(x) = 3(x - 1)^{2}[/tex]
How would I show my work on this ? 25 points
Answer:
I would write out the two points and draw a big carrot sign connecting the x values, and then another one for the y values. then you put the x value of the midpoint at the end of the carrot sign and the y value of the midpoint at the end of the other carrot sign. then i would make another carrot sign connecting those two numbers and at the end of the carrot would be the answer. i dunno if that makes sense but thats what i would do to show your work on that.
Step-by-step explanation:
i hope this helped :))
Among us code: QZUVDF
Answer:
cool imma join what is the map?
Answer:
aww man im too late
Step-by-step explanation:
vote me for homecomeing XD
help ya girl is failing math
Answer:
choose the third choice
the points (-5,4)and (1,r) lie on a line with slope -1. Find the missing coordinates r.
Answer:
R has to be -2
Step-by-step explanation:
So to find a slope the formula is written as
Y2-Y1/ X2 -X1
We know X1 and X2 and Y1.
If we plug those in and put Y2 as the variable ”r”
You’ll get
[tex]\frac{r-4}{1+5}[/tex]
Now make that equal to -1 since thats the slope
If you solve the equation it should get you -2
100 points please helpp
Answer:
[tex]\textsf{C.} \quad C = \$10 + \$5h[/tex]
Step-by-step explanation:
Given information:
Admission fee to the Park = $10Fee for Sledding = $5 per hourGiven variables:
C = total cost (in dollars)h = time (in hours)The Park admission fee of $10 is independent of the fee charged per hour per sport. Therefore, it is represented by a constant in the equation.
The fee per hour of sledding is dependent on the number of hours spent. Therefore, it is represented by the cost of the specific sport multiplied by the given variable for time (h).
Therefore the equation that represents the cost of sledding per hour is:
C = $10 + $5h
[tex]\huge \boxed{\sf C}[/tex]
Each hour costs 5 dollars for sledding and an extra fee of 10 dollars.
[tex]\sf C = 5h + 10[/tex]
An equation contains variables and integers.
C and h are variables which means the value changes.
5 and 10 are integers.
Traveling upstream (against the current) in a boat, you can travel 35 miles in 7 hours. It
takes half the time (3.5 hours) to travel the same distance downstream (with the
current). Find the speed of the current.
Answer:
The speed of the current is 2.5 miles per hour
Step-by-step explanation:
Systems of Equations
Let's call:
B = velocity of the boat
C = velocity of the current
When traveling upstream, the current is against the boat thus the relative velocity is B-C.
The distance is the product of the velocity by the time. Since the boat takes 7 hours to travel 35 miles upstream, thus:
d=(B-C)*7=35
Dividing by 7:
B - C = 5 [1]
When traveling downstream, the current and the boat are collaborative and the relative velocity is B+C. The travel takes now 3.5 hours, thus:
d=(B+C)*3.5=35
Dividing by 3.5:
B + C = 10 [2]
Subtracting [2] - [1]:
2C = 5
C = 5/2 = 2.5
The speed of the current is 2.5 miles per hour