Two students are reading a book. Keith reads 6 pages a day. Tameka reads 5 pages a day, but she starts sooner and has already read 15 pages.
Part A
Write a system of equations to represent the situation, using d for days and p for pages.
Part B
Graph the system of equations. (Click to draw on the graph.)
Question 3
Part C
Will Keith and Tameka ever be on the same page on the same day? Explain.
Answer: keith
Step-by-step explanation:
The system of equations to represent the number of pages read per day by Keith and Tameka, using d for days and p for pages are,
p = 6d
p = 5d + 15
Since we know that,
A system of equations is the set of equations in which the finite set of equations is present for which the common solution is sought.
Two students are reading a book. Keith reads 6 pages a day.
The equation for Keith, where d for days and p for pages can be given as,
p = 6xd
p = 6d
Tameka reads 5 pages a day, but he starts sooner and has already read 15 pages. The equation for Tameka, where d for days and p for pages, can be given as,
p = 5xd + 15
p = 5d + 15
Hence, the system of equations to represent the number of pages read per day by Keith and Tameka, using d for days and p for pages are,
p = 6d
p = 5d + 15
Learn more about the system of equations here;
brainly.com/question/13729904
#SPJ2
Please help if yk tha answer :))
Answer:
cos θ = -0.948
Step-by-step explanation:
First find θ of sin θ by taking the inverse:
θ = arcsin(0.312).
Then consider the interval of π/2 < θ < π, and set sin θ equal to arcsin(0.312).
arcsin(0.312) = 0.317297388112..
[ Hold on I am finishing up work ]
Mauritius island is 2 km due south of its closest point along a straight coastline. Gibril is staying at a private room on the shore that is 6 km east of that point. Gibril is planning to go from the room to the island. Suppose Gibril runs at a rate of 8 kmph and swims at a rate of 3 kmph. How far should Gibril run before swimming to minimize the time it takes to reach the island?
Answer:
5.19 Km
Step-by-step explanation:
According To the Question,
Suppose he Runs Xkm before swimming to minimize the time it takes to reach the island .
So, he should swim [tex]\sqrt{2^{2}+(6-X)^{2} } Km[/tex] .
Now The Total Time is t = [tex]\frac{X}{8} + \frac{\sqrt{2^{2}+(6-X)^{2} } }{3}[/tex] .
t = [tex]\frac{X}{8} + \frac{\sqrt{X^{2}-12X+40 } }{3}[/tex]
[tex]\frac{dt}{dX}=1/8 + 1/3 * 1/2 * \frac{2X-12}{\sqrt{X^{2}-12X+40 } }[/tex]
[tex]\frac{dt}{dX}=1/8 + \frac{1}{3} * \frac{X-6}{\sqrt{X^{2}-12X+40 } }[/tex]
Now Put [tex]\frac{dt}{dX} = 0[/tex] , we get
[tex]1/8 + \frac{1}{3} * \frac{X-6}{\sqrt{X^{2}-12X+40 } } = 0[/tex]
[tex]\frac{1}{3} * \frac{X-6}{\sqrt{X^{2}-12X+40 } } = - \frac{1}{8}[/tex]
8(X-6)= -3 × [tex]{\sqrt{X^{2}-12X+40 }[/tex]
square on both side,We get
64(X²-12X+36) = 9X² - 108X +360
55X² -660X + 1944 = 0
Apply Shri Dharacharya formula, To Find The Value of 'X'
X =[ - (-660) ±[tex]\sqrt{(-660)^{2}-4*55*1944 }[/tex] ] ÷ 2×55
X = (660±√7920) / 110
X= (660 - 89 ) / 110 ⇒ (Neglect '+' because it give 749/110 = 6.8 km Which is not possible )
X=571/110 ⇔ 5.19km he Should Run before swimming to minimize the time .
(For Diagram,Please Find In Attachment)
Please help I put 74 points there is an image
Answer:
x = 37 y = 27
Step-by-step explanation:
x = y + 10
x + y = 64
y + 10 + y = 64
y = 27
64 - 27 = 37
Answer:
What coatside dad said
Step-by-step explanation:
Owen bought 4 pizzas for a class party. If each person ate 1/5 of a pizza, how many people could be served? Division and multiplecation please right the correct equation.
9514 1404 393
Answer:
20 people
Step-by-step explanation:
Let n represent the number of people served. If each ate 1/5 of a pizza and there are 4 pizzas, we have ...
(1/5)·n = 4
The solution can be found by multiplying both sides of the equation by 5.
5(1/5)n = 5(4)
n = 20
20 people could be served.
4x +y = 10 graph the linear equation
can someone help i dont understand exponential functions
Answer:
1,3,4,6
Step-by-step explanation:
Find the solution of y = 6x + 1 for x = 5
Answer:
y = 31 when x = 5
Step-by-step explanation:
We are to evaluate (not solve) the function y = 6 x + 1 for x = 5.
Substituting 5 for x in y = 6x + 1, we get
y = 6(5) + 1 = 31
y = 31 when x = 5
[tex] \quad\quad \quad\quad\tt{y = 6x + 1}[/tex]
[tex] \quad\quad \quad\quad\tt{y = 6(5) + 1}[/tex]
[tex] \quad\quad \quad\quad\tt{y = 30 + 1}[/tex]
[tex] \quad\quad \quad\quad \boxed{\tt{y = 31}}[/tex]
Hence, the final answer is:[tex]\quad\quad \quad\quad \boxed{\tt \color{green}{y = 31}}[/tex]
_______
#LetsStudy
What is the value of y in the equation y = 3x - 2, when x = 2
Answer:
y=4
Step-by-step explanation:
3 x 2=6
6 - 2= 4
Answer:
y = 4
Step-by-step explanation:
Equation: y = 3x - 2
Plug in x = 2
New equation: y = 3(2) - 2
Simplify: y = 6 - 2 --> y = 4
Answer: y = 4
Need help ASAP DUE IN A COUPLE MINUTES PLEASE AND SHOW WORK ?!!!
Answer:
here u go
Step-by-step explanation:
what i did was 15*7 which is 105
and then i did 105/2 which is 52.5 ft
Answer:
V = 1237 cubic feet
Step-by-step explanation:
V of cylinder = πr^2h
r = 7.5 ft (15/2)
h = 7 ft
v = ((7.5)^2)π*7 = 1237.002107 cubic feet
What is the translation shown in the graph?
Answer:
The shape is translated four units left, and 2 units up, therefore the answer would be x=-4 and y=+2
Answer:
P= (1,-1)= P'= (-3,1)
T=(4,-1)=T'= (0,1)
R=(5,1)=R'= (1,3)
A= (5,3)=A'= (1,5)
So you would move the points 4 units across (left) and 2 units up (2,-4)
I would think your answer is right, it would be the second choice. Its just a little hard to determine because you would use the method of moving the point but to double check you would use one of the points, for example (1,-1) you would do 1+2-4 to see if you would get -3 and do the same with -1, -1+2-4. I hoped this helped!
PLEASE HELP ME!! this is due tonight and i really need help with this so i can do other assignments
explaining your answer = brainliest/ five stars
the area of this square = ___ cm
Answer:
64cm² I think :) if u get it wrong dont blame it on me.
Answer:
64 cm^2
Step-by-step explanation:
The area of a square can be calculated by A = s^2 (Area = side squared aka the side multiplied by itself)
A = s^2
= 8^2 (8 x 8)
= 64 cm^2
Factorise completely the expression below: 6ax+12by-9ay-8bx
Answer:
Step-by-step explanation:
6ax +12by -9ay -8bx
=6ax -8bx -9ay +12by
=2x(3a -4b)-3y(3a -4b)
=(2x-3y)(3a-4b)
will mark brainliest!!!!]
Find the distance between the points (-5, -10) and (2, 4).
Answer:
15.65 units
Step-by-step explanation:
Given data
x1=-5
y1=-10
x2=2
y2=4
The expression for the distance between two points is
d=√((x_2-x_1)²+(y_2-y_1)²)
substitute
d=√((2-(-5))²+(4-(-10))²)
d=√(2+5)²+(4+10)²
d=√7²+14²
d=√49+196
d=√245
d=15.65 units
Hence the distance between the points is 15.65 units
In
Δ
ABC, BC = a = 16, AC = b = 10, and m
∠
C
= 22°. Which equation can you use to find the value of c = AB?
Answer:
7.7
Step-by-step explanation:
use law of cosines
c² = a² + b² - 2ab * cosC
c² = 16² + 10² - 2(16)(10)cos22
c² = 256 + 100 - 320 * 0.927183854566787
c² = 59.3011665386
c ≈ 7.7
Answer:
You can use the Law of Cosines to solve for c:
c2 = a2 + b2 − 2ab cos C = 162 + 102 − 2(10)(16) cos 22°.
Step-by-step explanation:
plato!!
PLEASE please help me with this!! its due tonight. THANK YOU.
explaining your answer = brainliest
the area of the parallelogram is 49 square centimeters.
y = ___ cm
Answer:
[tex]y = 12.25[/tex]
Step-by-step explanation:
Area of parallelogram = [tex]49 {cm}^{2} [/tex]
∴ Side of Parallelogram = [tex]s = \frac{perimeter}{4} [/tex]
[tex]∴ \: s = y[/tex]
[tex]y = \frac{49}{4} [/tex]
[tex]y = 12.25[/tex]
Hope it is helpful...Looking into the sky one night, Tori wondered how far into outer space she would get if she drove a car for 3.21 × 103 hours at a rate of 70mph. She calculated and determined that a car travelling at 70 mph covers approximately 1.13 × 105 meters per hour.
Tori wrote this expression to determine the distance she would travel into outer space.
(3.21 × 103)(1.13 × 105)
Estimate the distance travelled.
Almost-equals30 × 1015 meters
Almost-equals3 × 108 meters
Almost-equals30 × 108 meters
Almost-equals3 × 1015 meters
Answer:
the answer is B
Step-by-step explanation:
smort :)
Answer:
bbbbbbb
Step-by-step explanation:
Solve this system of equations using the ELIMINATION method.
3x - 2y = 1
2x + 2y = 4
hope this helps please like and mark as brainliest
Answer:
x = 1
y = 1
Step-by-step explanation:
3x - 2y = 1
2x + 2y = 4
3x - 2y + 2x + 2y = 1 + 4
3x + 2x = 5
5x = 5
5x ÷ 5 = 5 ÷ 5
x = 1
2x + 2y = 4
2(1) + 2y = 4
2 + 2y = 4
2 - 2 + 2y = 4 - 2
2y = 2
2y ÷ 2 = 2 ÷ 2
y = 1
Check:
3x - 2y = 1
3(1) - 2(1) = 1
3 - 2 = 1
x and y being 1 works for the first equation.
2x + 2y = 4
2(1) + 2(1) = 4
2 + 2 = 4
x and y being one works for both equations.
Solve for in the diagram below.
(2x + 45°
7
RO
7 -
Answer:
45°
Step-by-step explanation:
The angles should add to 180°. so we can say 2x+45+x=180
3x+45=180
3x=135
X=45°
Answer:
x = 45°
Step-by-step explanation:
The sum of both angles should add up to 180°, because they are supplementary. Supplementary angles is just another way of saying two angles on a straight line. In order to find the value of x:
Given |
[tex]2x + 45 + x = 180[/tex]
2x + x
Combine like-terms. |
[tex]3x + 45 = 180[/tex]
180 - 45
Subtraction Property of Equality. |
[tex]3x = 135[/tex]
135 / 3
Division Property of Equality. |
[tex]x = 45[/tex]
What number is not a factor of 24
A school sold a total of 250 tickets to a show. Adult tickets cost $7.25 and student tickets cost $5.50. At the end of the evening the amount of money
collected was $1,602.50. Write and solve a system of equations to determine the number of student tickets sold
В І ца
7.25x+5 5y=1,602.50
1 / 10000 Word Limit
Answer:
The system of equations is:
x + y = 250 (1)
7.25x + 5.50y = 1602.50 (2)
with x = Adult tickets
y= student tickets
Solution
Let's equation (1)
x+y=250
x=250-y (a)
subtitute x in aquation (2)
7.25(250 - y) + 5.50y=1602.50
1812.50 - 7.25y + 5.50y= 1602.50
1812.50 -1.75y = 1602.50
-1.75y = 1602.50 - 1812.50
-1.75y = -210 ↔multiply both sides by (-1) to remove the minus sign
y= 210/1.75
y= 120
Substitute y in equation (1)
x + 120 = 250
x= 250 - 120
x =130
Let's check our results in equation (1)
x + y =250
120 + 130= 250 ↔ 250 = 250
At the end of the evening they 120 students tickets and 130 adults tickets
Step-by-step explanation:
You can check the results in any of the equations
A pizza parlor advertises pizza options. They offer 7 toppings and allow up to 4 on each pizza. Write an expression that represents this situation.
A: 7!
B: 7!/3!
C: 7!/4!3!
D: 4!3!/7!
Explanation:
This is after using the nCr combination formula
[tex]_n C _r = \frac{n!}{r!*(n-r)!}[/tex]
where in this case n = 7 and r = 4. Note how n-r = 7-4 = 3.
We use nCr instead of nPr because the order of the toppings doesn't matter.
please help. its for an assignment that is due today.
The science department orders a new telescope and pays $253.87 after tax. The tax rate is 6% . What was the original price of the telescope
Answer: dont listen to the answer above
Step-by-step and you'll fall down the shdausta and tyou get deleminate dby the stairs and bu the fat cat in cthe chaet
Evaluate the function.
f(x) = -x^2 + 6
Find f(-3)
Answer:
-3
Step-by-step explanation:
You plug the value of -3 into where the x is {-(-3)^2} + 6, resulting in -3.
Write this percentage as a fraction in its simplest form.
30%
Answer:
30/100
Step-by-step explanation:
30% as a fraction is 3/10; In simplest form is 30% = 30/100.
Find the area of circle whose radius is 5
cm.
Answer:
22/7 ×5^2(area of circle is2πr^3
78.57
The expression 6.7\cdot1.45^t6.7⋅1.45 t 6, point, 7, dot, 1, point, 45, start superscript, t, end superscript models the number of billions of genetic sequence bases available in the public database of the Whole Genome Shotgun project ttt years since 200220022002. What does 1.451.451, point, 45 represent in this expression?
Answer: 1.45 is a growth factor.
Step-by-step explanation:
Exponential growth function: [tex]y=Ab^x[/tex], where A = initial value , b = growth factor (if b>1)
Here, The expression [tex]6.7\cdot(1.45)^t[/tex] models the number of billions of genetic sequence bases available in the public database of the Whole Genome Shotgun project t years since 2002.
Here, b=1.45 >1
Thus,1.45 is a growth factor.
Help please! Thank you:)
Answer:
what kind of math is that?
Step-by-step explanation:
Please help me with this
Answer:
6y
Step-by-step explanation:
The two figure are squares with the same area
side = √area = √y^2 = y (with y>0 because a length can‘t be negative)
perimeter = side * 6 = y * 6 = 6y