Answer: Php 107.55
Step-by-step explanation:
From the question, Marlon saves Php 4.50 on Monday, Php 7.25 on Tuesday, Php 5.55 on Wednesday, Php 3.95 on Thursday, and Php 8.15 on Friday . The Total amount saved will be:
= 4.50 + 7.25 + 5.55 + 3.95 + 8.15
= 29.40
Amount saved for 3 weeks will be:
= 29.40 × 3
= 88.20
Since the lunch box he wants to buy costs Php 195.75 and he has saved Php 88.20. The remaining amount will be:
= 195.75 - 88.20
= 107.55
Determine the range of the following graph
A farmer grows a particular plant that has a gene that can be manipulated to control the age t at which the plant matures. The number of seeds S(t) produced by a plant maturing at age t is S(t)=−0.3t2+30t+0.2 seeds per mature plant A farmer asks the geneticists to genetically engineer a plant line that accounts for the fact that on his farm, only P(t)=90000t+100, plants mature to age t. What age of maturity should the geneticist select for the plants to maximize the seed production of the farmer's crop?a. Between 130 and 140 days b. Between 120 and 130 days
Answer:
The correct option is;
Between 40 and 50 days
Step-by-step explanation:
The number of seeds that are produced by a plant maturing at age t, S(t), is given as follows;
S(t) = -0.3·t² + 30·t + 0.2
The proportion of plants maturing at age (t) in the plants to be engineered by the geneticist P(t) = 90000/(t + 100)
The number of seeds produced by the plants = S(t) × P(t) = (-0.3·t² + 30·t + 0.2)×(90000/(t + 100))
To find the maximum number of seeds, we differentiate using an online tool, and equate to zero to get;
d((-0.3·t² + 30·t + 0.2)×(90000/(t + 100)))/dt = (-27000·t² - 5400000·t + 269982000)/(t + 100)² = 0
(-27000·t² - 5400000·t + 269982000)/(t + 100)² = 27000(t - 41.419)(t + 241.419)/(t + 100)² = 0
t = 41.419 or t = -241.419
Therefore, in order to maximize the production of seed of the crops of the farmer, the geneticist should select between 40 and 50 days.
what is 4(2×-7)+3(3×-1)=3(2-×)
Answer:
x=37/20
Step-by-step explanation:
4(2x-7)+3(3x-1)=3(2-x)
8x-28+9x-3=6-3x
17x+3x=6+31
20x=37
Answer:
x = [tex]\frac{71}{3}[/tex]
Step-by-step explanation:
1. Simplify/distribute each side.
[tex]4(2)(-7)+3(3)(-1)=3(2-x)[/tex]
[tex]4(2)(-7)+3(3)(-1)=(3)(2)+(3)(-x)[/tex]
[tex]-56+-9=6+-3x[/tex]
2. Flip the equation around.
[tex]-3x+6=-65[/tex]
3. Subtract 6 to balance the equation.
[tex]-3x+6-6=-65-6[/tex]
[tex]-3x=-71[/tex]
4. Divide each side by 3. We know they are in the same fact family.
[tex]\frac{-3x}{-3} = \frac{-71}{3}[/tex]
HELP THIS IS THE 5TH TIME I POSTED THIS BRUH
Answer:
it's blurry all i see is pixels...
i'll help if you send me a picture...
Step-by-step explanation:
For the function f(x) = (x – 9)7, find f-1(x).
Answer:
Let y=x,
y=(x-9)7
(y+9) ÷7=x
f-1(x)=(y+9)÷7
The graph of the cube root of X is shifted one unit down in seven units to the left. What is the equation of the resulting graph? Explain
Using translation concepts, it is found that the equation of the resulting graph is given by:
[tex]y = \sqrt[3]{x + 7} - 1[/tex]
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The cube root function is given by:
[tex]y = \sqrt[3]{x}[/tex]
The changes are as follows:
Shifted one unit down, hence 1 is subtracted from the function.Shifted seven units to the left, hence [tex]x \rightarrow x + 7[/tex] in the domain of the function.Hence, the equation is given by:
[tex]y = \sqrt[3]{x + 7} - 1[/tex]
More can be learned about translation concepts at https://brainly.com/question/4521517
Select all of the points that are solutions to the linear equation 2x + 9y = 54
good luck
Step-by-step explanation:
I need help with solving this problem please I will mark brainliest if correct
Answer:
both anges are 105
x = 128
Step-by-step explanation:
This is based on a theorem called F-angles.
If a and b are parallel, then these angles are equal.
So x = 105+23 = 128
Select three ratios that are equivalent to 11:1
Choose 3 answers:
A
1:11
(Choice B)
B
22:2
(Choice C
C
55:5
(Choice D)
D
9:99
(Choice E)
E
110:10
What is the retail price of a shirt that has a wholesale price of $12 and is marked up by 60 percent?
A. $7.20
B. $19.20
C. $31.20
D. $72.00
Answer:
Ium try b yup that's it I think but if not it's a
Answer:
it B i took the test
Step-by-step explanation:
Can someone answer this please?
Answer:
29.) y = -1.5x - 20
30.) y = 6 - 3x
Step-by-step explanation:
29.) For parallel lines; M1 = M2
put the equation in the form y = mx + c
the equation becomes 2y = 14 - 3x
therefore y = 7 - 1.5x.
For the points, introduce another point; (x,y) and the initial (-6,-11)
(y - - 11) ÷ ( x - - 6) = -1.5
y+11 = -1.5x - 9
y= -1.5x - 20
30.) still following the same procedure, only that M1 × M2 = -1
M1 = 1/3, M2 = -3
(y + 9)/(x - 5) = -3
y + 9 = 15 - 3x
y = 6 - 3x
during migration , a butterfly can travel 30 miles in 1 hour . which graph best represents y , the number of miles a butterfly can travel in x hours ?
find the distance between PQ. P(3,4) and Q(6,8)
25
20
15
5
Answer my math question I asked so many times I lost most of points by
Answer:
im sorry i wish i can help
Step-by-step explanation:
9-(7-3x) = 4+x-(3-x) solve for x
Answer:
The answer is x= -1.
How to find
range
mode
median
mean
Answer:
- Mode-The most repetitive number! - Median:The number in the MIDDLE when they are IN ORDER! - Mean- The AVERAGE OF ALL NUMBERS: You add up all the numbers then you divide it by the TOTAL NUMBER of NUMBERS! - Range - THE BIGGEST minus the Smallest!
branliest
Step-by-step explanation:
Range: To find the range we have find the smallest and highest numbers in a list or set. To find the range put the number on order, and then subtract the lowest number from the highest number.
Mode: To find the mode of a data set, we have to look the number that occurs most frequently in the set, and to find the mode we have to count how many times each number occurs.
Median: To find the median, first order the numbers from smallest to largest. Then find the middle number.
Mean: To find the mean we have to add up all the numbers, Then divide by how many numbers there are.
pls help i don't know what it is asking
Answer:
e=1
Step-by-step explanation:
what is the domain of this scatter plot?
Answer:
this answer should be green
Find the slope of the line that passes through (5,8) and (2,3).
Answer:
(-5,-3)
Step-by-step explanation:
y values minus y values over x values minus x values
Use the given information to write the equation of the line.
slope 2, y-intercept - 4
Suppose AP = 2 cm and BQ = 7 cm. What is the length of PC?
Step-by-step explanation:
is this a quadrilateral? or polygon or triangle?
what are the angles (I believe there should be at least an angle given) else PC can be any value that is positive
Please help! Only if you know though :))$
Answer:
180
Step-by-step explanation:
The m<1=4x-30 and the m<5=2x+50. Find m<1 and m<7.
A. M<1=130 and M<7=130
B. M<1=130 and M<7=50
C. M<1=50 and M<7=50
D. M<1=50 and M<7=130
Answer:
D) m<1 = 50 m<7 = 130
Step-by-step explanation:
Lets set up the equation!
We know m<4 is 4x-30 and the m<5 is 2x + 50 due to alternate interior angles they are congruent so we can forge an equation, all we do is set them equal to each other!
4x-30 = 2x+50
Add 30 to both sides
4x = 2x +80
Subtract 2x from both sides.
2x = 80
Divide both sides by 2
x = 40
Now that we know x we can just plug it into the expression of m<4 to find m<1
4x-30
4(40)-30
80 - 30
50
m<4 = 50
Because m<1 and m<4 are vertical angles they are congruent!
m<1 = 50
We also know m<4 and m<5 are congruent so m<5 = 50 as well.
Because <7 is supplementary to <5 we know that the sum of both angles amount to 180.
x represents m<7
50 + x = 180
Now we solve by subtraction 50 from both sides
x = 130
m<7 = 130
Brainliest is appreciated!
Deena deposited $48 in a new bank account. After buying groceries, she had $19 left in the account. Then she paid her cell phone bill, which was $31. Select all the true statements about Deena’s account.
To start, Deena had a positive balance.
In this situation, 0 represents an empty bank account.
After paying for groceries, Deena had a negative balance.
After paying her cell phone bill, Deena had –$12 in the account.
The smallest balance in the account was $19.
Step-by-step explanation:
Step one:
given data
amount deposited=$48
after the purchase of groceries
account balance= $19
cell phone bill, which= $31
Step two:
The account balance after paying for groceries will be
=19-31= $-12
she will have a deficit of $12, hence a negative account balance
To start, Deena had a positive balance. -------True
In this situation, 0 represents an empty bank account. -----True
After paying for groceries, Deena had a negative balance. ---True
After paying her cell phone bill, Deena had –$12 in the account. ...True
The smallest balance in the account was $19. ....True
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Answer:
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Step-by-step explanation:
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plz help me ;-;,i really need some help
Answer:
The building is taller than 12ft is b>12
The box contains more than 11 books is b>11
Answer:
b<11 is The board is shorter than 11 cm
b>11 is The box contains more than 11 books
b<12 is There are fewer than 12 beetles in a jar
b>12 is The building is taller than 12 ft.
Step-by-step explanation:
how many solutions does 6 -3x = 12 - 6x have?
A. two solutions.
B. no solutions.
C. one solution.
D. infinitely many solutions.
Answer:
Step-by-step explanation:
6-3x=12-6x
Only one solution of x=2
solve the equation by taking square roots
(x-3)^2 +8 = -10
Answer:
x = 3 ± 3i√2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Vertex Form: f(x) = a(bx - c)ⁿ + dCompleting the SquareSolving rootsAlgebra II
Imaginary Roots: √-1 = iStep-by-step explanation:
Step 1: Define equation
(x - 3)² + 8 = -10
Step 2: Solve for x
Subtract 8 on both sides: (x - 3)² = -18Square root both sides: x - 3 = ±√-18Factor: x - 3 = √-1 · ±√18Simplify: x - 3 = ±3i√2Add 3 to both sides: x = 3 ± 3i√2The Scott family is trying to save as much money as possible. One way to cut back on the money they spend is by finding deals while grocery shopping; however, the Scott family needs help determining which stores have the better deals.
At Grocery Mart, strawberries cost $2.99 for 2 lb., and at Baldwin Hills Market strawberries are $3.99 for 3 lb.
What is the unit price of strawberries at each grocery store? If necessary, round to the nearest penny.
Grocery Mart:
$_________
Answer:
Unit Price at Grocery Mart = $1.50
Unit Price at Baldwin Hills = $1.33
Step-by-step explanation:
Unit price in this case will be the price divided by number of pounds
Let u1 be the unit price of Grocery Mart and u2 be the unit price at Baldwin Hills
Given
[tex]s_1 = 2.99\\w_1 = 2\\s_2 = 3.99\\w_2 = 3[/tex]
The unit price for Grocery Mart is:
[tex]u_1 = \frac{s_1}{w_1}\\= \frac{2.99}{2}\\= 1.495[/tex]
Rounding off to nearest penny
u1 = $1.50 per lbs
Unit price for Baldwin Hills is:
[tex]u_2 = \frac{s_2}{w_2}\\=\frac{3.99}{3}\\=1.33[/tex]
u2 = $1.33 per lbs
Hence,
Unit Price at Grocery Mart = $1.50
Unit Price at Baldwin Hills = $1.33
How many solutions can be found for the system of linear equations represented on the graph?
A) no solution
B) one solution
C) two solutions
D) infinitely many solutions
Answer:
No Solution
Step-by-step explanation:
As the two lines have the identical slope (-1/2x), that means these two lines are parallel, and therefore they have no solution.