Dan and Lisa each improved their yards by planting daylilies and ivies. They bought their supplies from the same store. Dan spent $78 on 6 daylilies and 8 pots of ivies. Lisa spent $123 on 9 daylilies and 13 pots of ivies. What is the cost of one daylily? What is the cost of one pot of ivies?
Answer:
Cost of daylillies = $5
Cost of pot = $6
Step-by-step explanation:
Let
Cost of daylillies = x
Cost of pot = y
6x + 8y = 78 (1)
9x + 13y = 123 (2)
Multiply (1) by 9 and (2) by 6 to eliminate x
54x + 72y = 702 (3)
54x + 78y = 738 (4)
Subtract (3) from (4)
78y - 72y = 738 - 702
6y = 36
y = 36/6
y = 6
Substitute y = 6 into (1)
6x + 8y = 78 (1)
6x + 8(6) = 78
6x + 48 = 78
6x = 78 - 48
6x = 30
x = 30/6
x = 5
Cost of daylillies = $5
Cost of pot = $6
In a school of 310 students, 70 of them are in the drama club, 190 of them are in a sports team and 50 students do drama and sports. Find the probability that a student chosen at random isnt in the in tje drama club or the sports team
The probability that a student chosen at random isn't in the drama club or the sports team is 10/31.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
Let's denote students in D = in the drama club , S = in a sports team
P(D) = 70/310
P(S) = 190/310
P(D and S) = 50/310
P(D or S) = P(D) + P(S) - P(D and S)
P(D or S) = 70/310 + 190/310 - 50/310
P(D or S) = 210/310 = 21/31
P(neither D nor S) = 1- 21/31
P(neither D nor S) = 10/31
The probability that a student chosen at random isn't in the drama club or the sports team is 10/31.
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Which value of h make the equation true?
2.3 + h = 7.8
Answer:
h = 5.5
Step-by-step explanation:
2.3 + h = 7.8
-2.3 -2.3
h = 5. 5
Mei has 2 yellow teacups and 5 brown teacups Which ratio compares the number of brown teacups to the total number of teacups
Answer: 5: 7
Step-by-step explanation:
The total number for teacups: 2 yellow teacups + 5 brown teacups = 7 teacups
the ratio compares the number of brown teacups to the total number of teacups is :
5: 7
The ratio that compares the number of brown teacups to the total number of teacups is 5: 7
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
We are given that Mei has 2 yellow teacups and 5 brown teacups.
The total number for teacups is;
2 yellow teacups + 5 brown teacups = 7 teacups
Therefore, the ratio compares the number of brown teacups to the total number of teacups can be;
5: 7
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please awnser this asap
Answer:
240ft
Step-by-step explanation:
You have to multiply length x width x height In this case its 12 x 4 x 5
1. What is the product of 1/2x - 1/4 and 5x^2+6
show your work
Answer:
Step-by-step explanation:
First you would make the equation
(1/2x - 1/4)(5x^2 + 6)
afterwards you would multiply like normal binomials\
5/2x^3 + 3x - 5/4x^2 - 6/4
Then simplify
5/2x^3 - 5/4x^2 + 3x - 3/2
Remember to put them in order from the most roots to the least.
A builder has an 5-acre plot divided into 1 2 -acre home sites. How many 1 2 -acre home sites are there? please answer soon
Answer:
10
Step-by-step explanation:
5 divided by 1/2 is 10
Y'all need help here
Answer:
A
Step-by-step explanation:
Answer:
b. 1 inch : 5 miles is sure
Work out the value of x
2x + 13
x-4
x+7
(Look at the photo attached)
Answer:
x = 41
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180
2x + 13 + x - 4 + x + 7 = 180, that is
4x + 16 = 180 ( subtract 16 from both sides )
4x = 164 ( divide both sides by 4 )
x = 41
Answer:
x=41
Step-by-step explanation:
we know that all the angles need to add up to 180
The angle on top is almost a right angle(90) but is not exactly
playing with the numbers will help
95-13=82/2=41
lets continue with this and see if it works out
41+7=48
41-4=37
48+95+37=180
hope this helps!
t/3 = 11 solve equation and check souloution what is t
Answer: t=33
Step-by-step explanation:
Answer:
t = 33
Step-by-step explanation:
t/3 = 11
t = 11 × 3
t = 33
Help Please I am really confused whoever helps gets Brainliest (if its correct)
Answer:
hi :)
910
use a percantage calculator, i looked it up and 182 percent of 500 would be 910
Step-by-step explanation:
Hey guys I need ur help with math.
Please help
Which expression represents the length of one of the playground's sides? 224 + StartFraction 32 over 3 EndFraction x 14 + two-thirds x 14 + StartFraction 8 over 3 EndFraction x 4 (56 + StartFraction 8 over 3 EndFraction x)
Answer:
B
Step-by-step explanation:
I did the assignment and got 100
Answer:
B. 14 + two-thirds x
Step-by-step explanation:
What is the range of the function fx) = -2(6x) + 3?
(-∞,-2]
(-∞,3)
[-2,∞)
[3,∞)
Mark think of a number mark doubles it and add 2.9 to get answer of 30.6 form an equation with x from the information
Answer:
2x + 2.9 = 30.6
Step-by-step explanation:
We are to represent the unknown number that Mark thinks of with x
If Mark doubles this unknown number, he multiplies it by 2 and the unknown number becomes - 2x
He then adds 2.9
The equation becomes 2x + 2.9
The answer of the above equation is 30.6
This gives : 2x + 2.9 = 30.6
If $3,840 is
invested in an
account at 5%
annual simple
interest, how long
will it take for the
interest to grow
to $960?
Answer:
5 years
Step-by-step explanation:
5% of $3840 is $192 than divide $960 by $192 and you get 5
Write the equation of the line that passes through the points (-7, -4) and (-8,2).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Y = -6x-46 is the answer.
What is the next term of the geometric sequence?
81 27
255
9.
Allison needed to get her computer fixed. She took it to the repair store. The
technician at the store worked on the computer for 4.25 hours and charged her $177
for parts. The total was $623.25. What was the cost of labor, per hour?
Answer:
ans = $105 per hour
Step-by-step explanation:
first: you subtract the charge for parts from the total and this gives you $446.25.
second: because the technician worked for 4.25 hours = $446.25,if the technician worked for an hour what would be the cost?
4.25hr = $446.25
1 hr = x . then cross multiply.
4.25x = 446.25 then divide by 4.25 both sides to find th value of x, which is the cost of labour per hour
Kayden is a teacher and takes home 100 papers to grade over the weekend. He can grade at a rate of 6 papers per hour. How many papers would Kayden have remaining to grade after working for 10 hours?
Answer:
40
Step-by-step explanation:
6 * 10 = 60 papers done and complete
100- 60 = 40
Answer:
40 papers will be remaining
Step-by-step explanation:
= As,It take 1 hour to grade 6 papers
= 1 -6
= 10-?
= by cross multiplying we get 60 papers
= 100 - 60
= 40 papers
Thank you
2. A spelunker is down in a cave next to the cliff. If she
climbs down deeper into the cave, this will be a
negative change. If she climbs up, whether inside the
cave or out of the cave and up the cliff, this will be a
positive change.
Complete the table.
starting
elevation
(feet)
change
(feet)
final
elevation
(feet)
Correct?
А
- 200
150 down
-350
B
- 200
100 up
-100
С
-200
200 up
0
x < < < <
D
-200
250 up
50
E
200
500
(x - 12y = -4
( x - 9y = 7
9514 1404 393
Answer:
(x, y) = (40, 11/3)
Step-by-step explanation:
The variable x can be eliminated by subtracting the first equation from the second.
(x -9y) -(x -12y) = (7) -(-4)
3y = 11 . . . . . . .simpify
y = 11/3 . . . . . .divide by 3
x -9(11/3) = 7 . . . . substitute for y in the second equation
x = 40 . . . . . . . add 33
The solution is (x, y) = (40, 11/3).
Gary sold souvenirs at a fair for four days. He made this table to show how much of his total merchandise he sold each day. What percent of Gary’s merchandise had he NOT sold after all four days?
Answer:
Step-by-step explanation:
Someone answer this question please I need help to!
The same amount deposited weekly into a bank account can be represented by a
A: Linear
B: Exponential
C: Quadratic
Answer:
I think B
Step-by-step explanation:
aaaaAjshfbd pub d guy x gu dc
The same amount deposited weekly into a bank account can be represented by a Linear.
Therefore, option A is correct.
What is Linear Function?Linear functions have a straight line as their graph. The following is the form of a linear function. a + bx = y = f(x). There is one independent variable and one dependent variable in a linear function. x is the independent variable, and y is the dependent variable.
The degree of the model for data presented as ordered pairs can be determined by determining the differences between dependent values.
The model will be linear if the initial difference is the same value.If the second difference has the same value as the first, the model is quadratic.If the number of times the difference is calculated before obtaining repeated values surpasses five, the model could be exponential or another unique equation.If the same amount deposited weekly into a bank then the difference between consecutive deposits will be same.
Thus, the situation shows the linear function.
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2
Which statement is true about the asymptotes of a rational function if the degree of the polynomial function in the numerator is 1 and the
degree of the polynomial function in the denominator is 2?
О А.
It has two horizontal asymptotes
OB
It has only one vertical asymptote.
It has only one horizontal asymptote.
D.
It has no vertical asymptote.
E.
It has no horizontal asymptote.
Answer:
tha anser us B
Step-by-step explanation:
it is very easy you just read the question carefully
The correct statement about the asymptotes of the function is it has only one horizontal asymptote.
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
If the degree of the polynomial function in the numerator of a rational function is 1 and the degree of the polynomial function in the denominator is 2, then the rational function can be written as:
f(x) = (ax + b)/(cx² + dx + e)
The leading coefficient of the numerator is a, and the leading coefficient of the denominator is c. Therefore, the function has one horizontal asymptote given by y = a/c.
Thus, the correct statement about the asymptotes of the function is it has only one horizontal asymptote.
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Combine the like terms for the following expressions -3+4b-6g+5-7b
Answer:
-3b-6g+2
Step-by-step explanation:
2(6+2x-1) pleas help fast
Answer:
4x+10
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
2(6+2x-1) = 8. Mark me Brainliest.
Find the equation of the line shown
Answer:
x = 2 & y = 8
And this means-
x+y=10
Note:- These type of questions can have infinite solutions
Answer:
y=x+6
Step-by-step explanation:
7(x+4)=-21
what does x equals
CORRECT answers ONLY please
Answer: x = -7
Step-by-step explanation:
7 (x + 4) = -21
7x + 28 = -21
Subtract 28 from both sides
7x = -49
Divide both sides by 7
x = -7
Answer:
x = -7
Step-by-step explanation:
first distribute he 7 to get 7x + 28 = -21
then subtract 28 from both sides to get 7x = -49
lastly divide 7 from both sides to get x = -7
I need help solving this one.
Answer:
Check pdf
Step-by-step explanation: