Answer:
$3.0375
Step-by-step explanation:
Original price of dinner = $2.25
If cost percentage of 35%, then the additional cost paid will be;
35% * 2.25
= 0.35 * 2.25
= $0.7875
Target price = Original price + additional cost
Target price = $2.25 + $0.7875
Target price = $3.0375
A parabola can be drawn given a focus of (4, -3) and a directrix of x=2 Write the equation of the parabola in any form
Answer:
The equation of the parabola ( y +3)² = 4 ( x-3)
Step-by-step explanation:
Step(i):-
we know that the focus of the parabola (h + a , k ) and directrix is x = h - a
Given
focus of the parabola (h + a , k ) = ( 4, -3 )
Equating h + a =4 ..(i)
and k =-3
Given directrix is x = 2
h - a =2 ..(ii)
Adding (i) and (ii) equations , we get
h + a + h-a = 4+2
2 h = 6
h =3
substitute h=3 in equation (i)
h + a =4
3 + a =4
a = 1
The length of Latus rectum 4a = 4(1) =4
Step(ii):-
The vertex ( h, k) = ( 3 , -3) and a = 1>0
Given directrix is x = h - a = 2 so the parabola axis is lie on X- axis and symmetric about x-axis
The equation of the parabola
( y - k )² = 4 a ( x - h )
( y - (-3))²= 4(1) ( x - 3 )
The equation of the parabola ( y +3)² = 4 ( x-3)
Simplify the expression
Answer:
A. [tex] {x}^{3} - x - \frac{6}{2x + 3}[/tex]
Step-by-step explanation:
[tex] \frac{2 {x}^{4} + 3 {x}^{3} - 2 {x}^{2} - 3x - 6}{2x + 3} \\ \\ = \frac{(2 {x}^{4} + 3 {x}^{3} ) - (2 {x}^{2} + 3x) - 6}{2x + 3} \\ \\ = \frac{ {x}^{3} (2 {x} + 3 ) - x(2 {x} + 3) - 6}{2x + 3} \\ \\ = \frac{ {x}^{3} (2x + 3)}{2x + 3} - \frac{x(2x + 3)}{2x + 3} - \frac{6}{2x + 3} \\ \\ \purple { \bold{= {x}^{3} - x - \frac{6}{2x + 3} }}[/tex]
Multiply. Write your answer as a fraction in simplest form.
11 x ( - ) = 0
Answer:
??? is this all of the question?
Answer:
- 3/5Step-by-step explanation:
Simplify fractions and multiply
1 1/2 × (-6/15) = 3/2 × (- 2/5) = - 3/5
find the value of x in each of the given triangles.
Answer:
solution here,
x+3x+80=180degree
4x+80=180
4x=180-80
x=100÷4
therefore
x=25
Evaluate 6x^2+18x-15 at x=3. A-75
B-93
C-133
D-363
Step-by-step explanation:
When x = 3,
6x² + 18x - 15
= 6(3²) + 18(3) - 15 = 54 + 54 - 15 = 93. (B)
I need to know this ASAP please! What is 2/3x + 1/3x?
Answer:
x
Step-by-step explanation:
2/3x+1/3x=x
Answer:
1
Step-by-step explanation:
2/3x + 1/3x
2+1/3x
3/3x
=x
one x value is 1
please help! the question is in the photo :))
Answer:
00000
Step-by-step explanation:
please send the clear pic of the question
Answers:
angle G = 25angle J = 107angle I = 48angle P = 25angle K = 107angle H = 48===========================================
Explanation:
Triangle GJI and triangle PKH are similar triangles. The order of the letters is important because it tells us how the angles pair up.
The first letter of GJI is G, while the first letter of PKH is P. This means angles G and P pair up. They are congruent pair because similar triangles have congruent corresponding angles.
So,
G+P = 50
G+G = 50 .... plug in G = P
2G = 50
G = 50/2
G = 25
Both angle G and angle P are 25 degrees
Use angle I = 48 to help find angle J
G+J+I = 180
25+J+48 = 180
J+73 = 180
J = 180-73
J = 107
Angle J is 107 degrees
Since J and K are the second letters of GJI and PKH respectively, this means angle J = angle K = 107
Since I and H are the third letters of GJI and PKH respectively, we know that angle I = angle H = 48
------------------------
Summary:
angle G = 25angle J = 107angle I = 48angle P = 25angle K = 107angle H = 48A dog needs 4/3 liters of water for 2/5 how many liters of water does the dog need for an entire day
Complete question :
A dog needs 4/3 liters of water for 2/5 of a day. How many liters of water does the dog need for an entire day?
Answer:
10/3 litres
Step-by-step explanation:
Given that:
Amount of water needed for 2/5 of a day = 4/3 litres ;
An entire day = 1/ 1 of a day
Hence, If;
2/5 = 4/3 litres of water
1/1 = x
Cross multiply ;
(2/5)x = 4/3
2x /5 = 4/ 3
2x * 3 = 5 * 4
6x = 20
x = 20 /6
x = 10 /3 litres
Please help me with this, i need it for a math quiz.
|−14.6 − (−5.2)|
Thank you.
The correct answer is D.) |−14.6 − (−5.2)|
Step-by-step explanation: This is the case because we are first subtracting the value of the two numbers from each other. Then we're taking the absolute value so we can find distance, which is always expressed in a positive number.
A certain sum of money doubles itself in 8 years. How much time will it take to triple itself at the same rate?
[Irrelevant answers will be reported]
Answer:
It will take 12years to triple itself
Step-by-step explanation:
let the sum of money=x
In 8years x becomes 2x
thus
2x-8years
Then 3x-?
Using ratio and proportion,
x=3/2×8years=12years
If a certain number is increased by 5, one-half of the result is three fifths of the excess of 61 over the number. find the number
Step-by-step explanation:
Let the number be x X×5 =1/2 × 3/5 × 615X = 18 X = 18/5 X =3.3Simplify: -3 ( 2x - 5) - 2 (4x + 3)
A. 14x - 9
B. - 2x + 21
C. - 14x + 9
D. - 14x + 21
Answer:
option b
Step-by-step explanation:
remove the parentheses
-6x+15 -2(4x+3)
collect like terms
-14x+15-6
subtract the numbers
15-6
-14x+9
I hope this helps!Answer:
the answer is C
Step-by-step explanation:
by doing the distributive property
multiplay the -3 with the numbers in the parenthesis (2x-5) and the same with -2 and (4x +3)
the result will be -6x+15-8x-6 now you need to combine like terms
-6x-8x 15-6
-14x+9
What is sixty-nine times sixty-nine?
Answer:
The answer is 4,761
7x^2 - 16x - 15
please help find the factored form
Step-by-step explanation:
7x^×2-16x-15
14x^-16x-15
Gumbo had 492 baseball cards in his collection. First, he divided them evenly among
4 shoe boxes. Then, he divided the cards in each shoe box evenly among 3 card
albums. How many cards were in each card album?
41
164
123
31
Step-by-step explanation:
There are 41 cards were in each card album.
Fatima collected 78 leaves at Zabeel Park for a pressed-leaf collection. If she places and equal number of leaves in each of 3 books, how many leaves will be in each book? (SHOW YOUR WORK/STEPS)
Step-by-step explanation:
78/ 3
= 26
26 leaves will be in each book
hope it helps!
Answer:
26
Step-by-step explanation:
78/3=26
PLEASE ANSWER ASSP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: 1626815
Step-by-step explanation:
Answer:
264 cm^3
Step-by-step explanation:
ASAP
The equation y=5x represents a proportional relationship. What is the constant of proportionality.
Answer:
5
Step-by-step explanation:
it is the constant slope 5 over 1
Find the angle BAD (pls)
Answer:
A. 82
hope it helps....
During a two-day golf tournament, Fran scored +3 on the first day and -1
on the second day. What was her overall score for the tournament?
Answer:
+ 2
Step-by-step explanation:
+ 3 + (- 1) = + 2
in a school 45% of students are girls if there are 110 boys find the total number of students the number of girls full process
Answer:
Total number of students = 200
The number of girls = 90
Step-by-step explanation:
Girls = 45%
Boy = (100 - 45)% = 55%
Let the total students = x
Number of boys = 110
55% of x = 110
[tex]\frac{55}{100}*x = 110\\\\ x = 110*\frac{100}{55}\\\\ x = 10 * \frac{100}{5}\\\\[/tex]
x = 2 * 100
x = 200 students
Girls = 45% of x
[tex]= \frac{45}{100}*200[/tex]
= 45 * 2
Girls = 90
The function c(x) = 18x -10 represents the cost in dollars. How many tickets can you buy?
Note: It seems you may have unintentionally missed writing the complete question. As total cost is missing.
So, I am assuming how many tickets Mr. XYZ can buy if he/she pays 530 dollars.
The solution would still clear your concept though.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the function
c(x) = 18x -10
The slope-intercept form of the line equation
We know that the slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
so
c(x) = 18x - 10
comparing with the slope-intercept form of the line equation
rate of change = 18c(x) or y represents the cost'x' represents the number of ticketsAssuming the total cost i.e. c(x) = $530
In order to determine the value of x, set c(x) = 530
i.e.
530 = 18x -10
switch sides
18x - 10 = 530
add 10 to both sides
18x - 10 + 10 = 530 + 10
18x = 540
Divide 18 to both sides
18x/18 = 540/18
x = 30
Therefore, if you can buy x = 30 tickets if you pay 530 dollars.
R holdA company claims that their new bottle holds 25% more laundry soap. If their original container held 53 fluid ounces of soap, how much does the new containe?
Answer:
66.25 fluid ounce
Step-by-step explanation:
Given that :
Capacity of original container = 53 fluid ounces
Percentage addition of new container = 25%
Capacity of new container :
Capacity of original container * ( 1 + percentage addition)
53 * ( 1 + 0.25)
53 * (1.25)
= 66.25 fluid ounce
8.35x - 1.5 = 71.98
(a) 8.6
(b) 8.8
(c) 9
(d) 10.3
El -1,5 qlero pasaría al otro lado positivo
8.35x = 71.98 + 1.5 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Ahora, se suma 71.98 + 1.5 = 73,48
8.35x = 73,48 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -El 8.35 qlero que está multiplicando, pasa al otro lado pero dividiendo
x = 73,48 ÷ 8.35 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Dividimos
x = 8,8 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - (b) 8,8 es la opción correctaIf you were to make a quadrilateral by rotating triangle RST 180 about U which type of quadrilateral would form? A. Rectangle B. Square C. Rhombus D. Trapezoid
Answer:
Rhombus
Step-by-step explanation:
A triangle when rotated around any point by 180° forms a Rhombus.
Answer:
Rectangle
Step-by-step explanation:
I got it wrong on math nation and found out the correct answer.
A hiker walks at a speed of 3 2/5 km per hour. How many km will the hiker walk in 40 min?
Answer:
2 4/15 km
Step-by-step explanation:
We know from the above question that:
A hiker walks at a speed of 3 2/5 km per hour.
Step 1
Convert 40 minutes to hour
60 minutes = 1 hour
40 minutes = x
Cross Multiply
60x = 40
x = 40/60
x = 2/3hr
Step 2
How many km will the hiker walk in 40 min?
The above question can be calculated as:
1 hour = 3 2/5km
2/3 hour = x km
Cross Multiply
1 × x km = 2/3 × 3 2/5 km
x km = 2/3 × 17/5 km
x km = 34/15 km
x km = 2 4/15 km
Hence the hiker would walk 2 4/15 km in 4 minutes
Doug began sweeping the living room floor at 10:47. It took him 42 minutes to sweep the whole room. What time was it when Doug finished sweeping?
Answer:
11:29.
Step-by-step explanation:
10:47 - 11:00 is 13 minutes, which leaves 29 minutes. So then you add that to 11:00, 11:29.
Answer:11:29
Step-by-step explanation:
If Doug starts at 10:47 and sweeps for 42 minutes
First you add 42 minutes to the 47.
Remember there are 60 minutes in an hour.
So do 47+42=89
Next do 89-60 (because there are 60 minutes in an hour)
You get 29 minutes.
Add one to the 10
That makes 11:29
PLEASE HELP!!!
One year after you buy a tree, it is 10 feet tall. Each year after you buy the tree, it grows 2 feet. Write a function that represents the arithmetic sequence. How long does it take for the tree to reach its maximum height of 28 feet?
Answer:
y=2x+10
Step-by-step explanation:
y is the height x is the number of years
It takes 9 years for it to reach 28ft
Micheal buys a new jacket for 90 dollars. Sales tax is 8%. How much does Micheal actually have to pay?
Answer:
$97.20
Step-by-step explanation:
you make the 8% into a decimal by moving the decimal to places to the left.
8%=0.08, Then you multiply that by the whole number of 90 dollars.
0.08 x 90 = $97.20
Total cost of the jacket with sales tax is given by the equation A = $ 97.20
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total cost of the jacket with the sales tax be A
Now , the equation will be
The cost of the jacket = $ 90
The sales tax percentage = 8 %
So , the sales tax amount = ( 8 / 100 ) x cost of the jacket
Substituting the values in the equation , we get
The sales tax amount = 0.08 x 90
The sales tax amount = $ 7.20
Now , the total cost of the jacket with the sales tax = cost of the jacket + sales tax amount
Substituting the values in the equation , we get
The total cost of the jacket with the sales tax A = 90 + 7.20
The total cost of the jacket with the sales tax A = $ 97.20
Hence , the total cost is $ 97.20
To learn more about equations click :
https://brainly.com/question/19297665
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change the recurring decimal into fraction, 3.256
Answer:
407/125
Step-by-step explanation:
3.256=3256/1000
814/500
407/125