Answer:
P= $29 and D = -$30
Step-by-step explanation:
4D + 5P = $25
5P = $25 - 4D
P = ($25 - 4D)/5 equation(i)
Noe substitute the value of P
3D + 4P = $26
3D + 4($25 -4D)/5 = $26
3D*5 + ($100 -16D)/5 =$26*5
15D + $100 - 16D =$130
-D = $130 - $100
D = -$30
Again substitute the vale of D in equation(i)
P = ($25 + 4D)/5
=$25 + 4*$30/5
=$25 + $120/5
=-$145/5
=$29
Answer:
P = 29, D = - 30
Step-by-step explanation:
Given the 2 equations
4D + 5P = 25 → (1)
3D + 4P = 26 → (2)
Multiplying (1) by 3 and (2) by - 4 and adding the result will eliminate D
12D + 15P = 75 → (3)
- 12D - 16P = - 104 → (4)
Add (3) and (4) term by term to eliminate D
0 - P = - 29
- P = - 29 ( multiply both sides by - 1 )
P = 29
Substitute P = 29 into either of the 2 equations and solve for D
Substituting into (1)
4D + 5(29) = 25
4D + 145 = 25 ( subtract 145 from both sides )
4D = - 120 ( divide both sides by 4 )
D = - 30
the product of two consecutive positive odd integers is 2499 find the bigger integer
Step-by-step explanation:
Consecutive odd integers are integers that take on the form n, n + 2, n +4, n + 6, and so on, where n is odd.
Now, Product of two consecutive positive odd integers = 2499
=>n*(n+2) = 2499
=>n^2+2^n-2499=0
=>n^2+51^n-49^n-2499=0 =>n(n+51)-49(x+51)=0
=>(n+51)(n-49)=0
=>n=49 (n is not equal to -51 which is negative integer).
So,bigger integer =(n+2)=49+2=51.
A line that includes the points (-9, 6) and (-3, s) has a slope of -1. What is the value of s?
Answer:
s=0
Step-by-step explanation:
We have two points so we can use the slope formula
m = (y2-y1) / x2-x1)
-1 = (s-6)/(-3 - -9)
-1 = (s-6)/(-3 +9)
-1 = (s-6)/(6)
Multiply each side by 6
6*-1 = s-6
-6 = s-6
Add 6 to each side
-6+6 = s-6+6
s=0
Answer:
[tex] \large\sf \: s = 0[/tex]
Value of s is 0.
Step-by-step explanation:
Here,
A line that includes 2 two points are ( -9 ,6) and (-3, s) and has a slope of - 1.
Using slope formula
m = ( y ² - y ¹ ) / ( x ² - x ¹)
Where,
m , is the slope which is -1( y ² - y ¹ ) = ( s - 6 )( x ² - x ¹) = ( - 3 - ( - 9 ) )substitute the values into the formula
-1 = ( s - 6 ) / ( - 3 - ( - 9 ) )
-1 = ( s - 6 ) / ( - 3 + 9 )
- 1 = ( s - 6 ) / ( 6 )
multiply each side by 2
- 1 × 6 = s - 6 × 6 / 6
- 6 = s - 6
- 6 + 6 = s - 6 + 6 ..( add 6 to each side)
0 = s
Is Your Eyes Good?
Can You Identify The Word
Answer:
No way its too blur XD
Step-by-step explanation:
sports
watching tv
reading books
surfing
and sleeping maybe
Answer:
Sports - 25%
Surfing - 25%
Reading Books - 20%
Watching TV - 25%
Malling - 5%
Step-by-step explanation:
Determine the range for the function y = (x - 3 )^2 + 4.
Answer:
Solutions are x=2 and x=−2 . At these points the function has vertical asymptotes. To address the range, let's first transform...What is the measure of x?
Answer:
x=4
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
(x+5) *x = 6^2
x^2 +5x = 36
Subtract 36 from each side
x^2 +5x - 36 = 0
Factor
( x-4) (x+9) = 0
Using the zero product property
x-4 = 0 x+9 =0
x = 4 x=-9
Cannot be negative since that is negative length
x=4
Today, the population of Canyon Falls is 22{,}50022,50022, comma, 500 and the population of Swift Creek is 15{,}20015,20015, comma, 200. The population of Canyon Falls is decreasing at the rate of 740740740 people each year while the population of Swift Creek is increasing at the rate of 1{,}5001,5001, comma, 500 people each year. Assuming these rates continue into the future, in how many years from today will the population of Swift Creek equal twice the population of Canyon Falls
Answer:
10 years
Step-by-step explanation:
Given :
Population of Canyon falls = 22500
Rate of decrease = 740 per year
Population after x years :
f(x) = 22500 - 740x ; x = number of years
Population of Swift Creek = 15200
Rate of Increase = 1500 per year
Population after x years :
f(x) = 15200 + 1500x ; x = number of years
Number of years when, population of swift creek will be twice that of Canyon falls
15200 + 1500x = 2(22500 - 740x)
15200 + 1500x = 45000 - 1480x
15200 - 45000 = - 1480x - 1500x
-29800 = - 2980x
x = 29800 / 2980
x = 10
After 10 years
write short note on the rule on how to bisect a perpendicular angle
Answer:
Given a line segment AB
open the compass more than half of the distance between A and B, and scribe arcs of the same radius centered at A and B.
Call the two points where these two arcs meet C and D. Draw the line between C and D.
CD is the perpendicular bisector of the line segment AB. Call the point where CD intersects AB E.
Step-by-step explanation:
for more help please follow
Answer:
Follow the steps below to construct a perpendicular bisector of a line segment.
Step 1: Draw a line segment XY of any suitable length.
Step 2: Take a compass, and with X as the center and with more than half of the line segment XY as width, draw arcs above and below the line segment.
Step 3: Repeat the same step with Y as the center.
Step 4: Label the points of intersection as 'P' and 'Q'.
Step 5: Join the points 'P' and 'Q'. The point at which the perpendicular bisector PQ intersects the line segment XY is its midpoint. Label it as 'O'.
Step-by-step explanation:
Jenny walked around the football field which statement explains whether the example describes area or perimeter
Answer:
perimeter
Step-by-step explanation: If she walks around its perimeter. If she covers every inch of ground covered by the field its area.
Perimeter would be like an outline. And area would be the whole thing shaded.
Profit and Loss question class -9
Answer:
Rs 2.25
Step-by-step explanation:
S.P. = 375 * 3.36 = 1260
C.P. = 1125. for 500 mangoes
So for 1 mango,
C.P. = Rs 2.25
Answer:
₹2.25
Step-by-step explanation:
Selling price of 1 mango = ₹3.36
Mangoes in good state = 500 - 125 = 375
Selling price of 375 mangoes = 3.36 *375 = ₹ 1260
Cost price = [tex]\frac{100}{100+profit}*SP[/tex]
[tex]= \frac{100}{100+12}*1260\\\\=\frac{100}{112}*1260\\\\= 1125[/tex]
Cost price of 500 mangoes = ₹ 1125
CP of 1 mango = 1125/500 = ₹2.25
Question
In order to save for a new car, Charles adds money each month to a savings account which earns interest that is compounded monthly. Charles has created the expression 400((1+0.0212)12⋅3−10.0212) to calculate how much money he will have in his savings account when he is ready to purchase the car.
What do the values 400, 0.02, 12, and 3 represent in the expression?
Answer:
Step-by-step explanation:
If 4 US dollars can be exchanged for 1.75 Euros. How many Euros can be obtained for 144 US dollars?
Answer:
63 euros.
Step-by-step explanation:
4 dollars = 1.75 euros
1 dollar = 1.75 / 4 euros, so
144 dollars = (1.75/4) * 144
= 63 euros.
A principal of $2700 is invested at 6.25% interest, compounded annually. How much will the investment be worth after 13 years?
Use the calculator provided and round your answer to the nearest dollar.
$
Answer:
$5938
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Compounded Interest Rate Formula: [tex]\displaystyle A = P(1 + \frac{r}{n})^{nt}[/tex]
P is principle amountr is raten is compounded ratet is timeStep-by-step explanation:
Step 1: Define
Identify variables
P = 2700
r = 6.25% = 0.0625
n = 1
t = 13
Step 2: Find Interest
Substitute in variables [Compounded Interest Rate Formula]: [tex]\displaystyle A = 2700(1 + \frac{0.0625}{1})^{1 \cdot 13}[/tex][Exponents] Multiply: [tex]\displaystyle A = 2700(1 + \frac{0.0625}{1})^{13}[/tex](Parenthesis) Divide: [tex]\displaystyle A = 2700(1 + 0.0625)^{13}[/tex](Parenthesis) Add: [tex]\displaystyle A = 2700(1.0625)^{13}[/tex]Evaluate exponents: [tex]\displaystyle A = 2700(2.19926)[/tex]Multiply: [tex]\displaystyle A = 5938[/tex]If KJ=4 and KM= 2, find ML
Answer:
6
Step-by-step explanation:
(whole secant) * (external part) = (tangent)^2
(KL) * (KM) = KJ^2
(KM+ ML) * KM = KJ^2
(2+ ML) * 2 = 4^2
(2+ ML) * 2 =16
Divide each side by 2
(2+ ML) = 8
Subtract 2 from each side
ML = 6
please help me i have 65 questions i have to do
find the y-intercept of the line that has a slope of -3 and passes through (9,0)
9514 1404 393
Answer:
27
Step-by-step explanation:
For point (x, y) and slope m, the y-intercept can be found from the equation ...
b = y -mx
b = 0 -(-3)(9) = 27
The y-intercept is +27. The corresponding ordered pair is (0, 27).
A soccer ball is kicked from the ground at an upwards velocity of 90 feet per second. The equation h(t)=-16t^(2)+90t gives the height of the ball after t seconds. How many seconds will it take for the ball to reach its maximum height?
I need help figuring this out to help my grade
Answer: 2.81 s
Step-by-step explanation:
Given
Ball is kicked upward with velocity [tex]u=90\ ft/s[/tex]
Height of the ball is given by the function [tex]h(t)=-16t^2+90t[/tex]
Derivative of a function gives the maxima or minima at certain point
[tex]\Rightarrow \dfrac{dh}{dt}=-32t+90\\\\\Rightarrow \dfrac{dh}{dt}=0\\\\\Rightarrow -32t+90=0\\\\\Rightarrow t=\dfrac{90}{32}\\\\\Rightarrow t=2.81\ s[/tex]
Thus, it takes ball 2.81 s to reach the top.
10 points, will give brainliest. look ag the picture!!
Answer:
since angle x and y are the same the answer will be
A: x=y
A rectangle has an area of 4x²-8x+3 square units. Which of the following could represent the perimeter of the rectangle in terms of x?
a. 2x-1
b. 2x-3
c. 4x-4
d. 8x-8
e. 10x-8
he local newspaper has letters to the editor from 30 people. If this number represents 2% of all of the newspaper's readers, how many readers does the newspaper have?
What are factors of -12 that have a sum of +1?
SAT MATH, PLEASE HELP PLEASE THIS IS MY LAST CHANCE
Answer:
[tex] \gamma = 125.00 \: degrees \\ a = 2.18 \\ b = 3.59[/tex]
Step-by-step explanation:
[tex] \gamma = 180 - 20 - 35 \\ = 125 \: degrees[/tex]
[tex]using \: sine \: rule \\ \frac{a}{sin20} = \frac{b}{sin35} = \frac{5.122}{sin125} \\ a = 2.1386 \\ b = 3.5865[/tex]
Is the percent increase from 50 to 70 equal to thhe percent decease from 70 to 50
Answer:
No
Step-by-step explanation:
The amounts of change are the same, but the original amounts are different. The ratio for the percent increase from 50 to 70 is 20/50, or 40%. The ratio for the percent decrease from 70 to 50 is 20/70, or about 29%.
Answer:
Step-by-step explanation:
Though the difference is the same, the original value is different. Therefore they are not the same.
Percentage increase from 50 to 70
[tex]=\frac{70 - 50}{50} \times 100\\\\=\frac{20}{50} \times 100 = 40 \%[/tex]
Percentage decrease from 70 to 50
[tex]= \frac{70-50}{70} \times 100\\\\= \frac{20}{70} \times 100 = 28.57 \%[/tex]
A rectangular pen for pigs that will enclose a total area of 169 square feet. What is the least amount of fencing that is needed?
Answer:
The answer is below
Step-by-step explanation:
Let x represent the length of the rectangular pen and y represent the width of the rectangular pen. Since the total area of the pen is 169 ft², hence:
Area = length * width
169 = xy
y = 169/x
Also the perimeter of the rectangular pen is:
Perimeter (P) = 2(length + width)
P = 2(x + y)
P = 2x + 2y
P = 2x + 2(169/x)
P = 2x + 338/x
The least amount of fencing is at dP/dx = 0, hence:
dP/dx = 2 - 338/x² = 0
338/x² = 2
2x² = 338
x² = 169
x = 13 feet
y = 169 / x = 169/13 = 13 feet
The least amount of fencing = P = 2(x + y) = 2(13 + 13) = 52 feet
Arlen is planning a dinner party at which he will be able to accommodate seven guests. From past experience, he knows that each person invited to the party will accept his invitation with probability 0.5. He also knows that each person who accepts will actually attend with probability 0.8. Suppose that Arlen invites twelve people. Assuming that they behave independently of one another, what is the probability that he will end up with more guests than he can accommodate
Answer:
"0.057309921" is the correct answer.
Step-by-step explanation:
According to the question,
The coming probability will be:
= [tex]0.5\times 0.8[/tex]
= [tex]0.4[/tex]
n = 12
p = 0.4
Now,
⇒ [tex]P(X>7)=1-P(X<=7)[/tex]
Here, X = Number of guests
[tex]=1-binom.dist(7,12,0.4,1)[/tex]
[tex]=0.057309921[/tex]
Thus, the above is the correct answer.
A hiker is standing 40 feet away from a tree that is 50 feet tall.
What is the angle of elevation from the hikers foot to the top of the tree??
HELP ME PLEASE ITS URGENT
Answer:
87.9°
Step-by-step explanation:
arctan(50/40)=87.9°
Find the percent of increase from 380 to 510. Round to the nearest tenth of a percent, if
necessary.
Answer:
510 divided by 380 is 1.34210526316 so multiple by 10 to get 134.210526316
rounding to the tenth we get 134.2
-6x + 7y = 9
2x - 2y = 4
7909081131
8709196751
7250401594
9835094365
8340436845
7258061562
please contact this Nr. for the best answer
This is world best teacher
Is the Function exponential?
Answer:
y = 4x+ 5 is the equation that describes the data...
that is a linear equation ... the slope is 4 thus "the y value increases 4 for every 1 unit increase in x"
Step-by-step explanation:
A researcher selects a sample of participants to test for differences in employment rates among part-time and full-time teachers. Because there are many more women in teaching jobs than men, the researcher selected more women than men for her study to ensure that it represented the actual distribution of men and women teachers in the job sector. Which type of quota sampling was used in this example
Answer: proportionate
Step-by-step explanation:
Proportional quota sampling is when the total number of people that are to be surveyed are decided in advance. This form of sampling is usually used in opinion polls and surveys.
Since due to the fact that there are many more women in teaching jobs than men, the researcher selected more women than men for her study to ensure that it represented the actual distribution of men and women teachers in the job, then this was decided in advance and indicates the proportionate quota sampling.
If this sun is 66° above the horizon, find the length of the shadow cast by a building 61 feet tall. Round your answer to the nearest tenth.
Answer:
27.2 ft
Step-by-step explanation:
We solve using the Trigonometric function of tan
tan θ = Opposite/Adjacent
θ = 66°
Opposite = Height of the building = 61 ft
Adjacent = Length of the shadow = ? = x
tan 66 = 61/x
Cross Multiply
tan 66 × x = 61
x = 61 ft/tan 66
x = 27.158949804 ft
Approximately = 27.2 ft
The length of the shadow = 27.2 ft
