Answer:
Carl will catch up Flo at 4:00Step-by-step explanation:
Given
Flo reads one page every minuteCarl reads one page every 50 secondsCarl starts 30 minutes lateMax number of pages = 500Let x be the number of pages each reads when Carl catches up Flo
Then we have the time for Flo and Carl
Flo:
x pages after x minutesCarl:
x pages after 30 + x*50/60 minutesThe time is same:
x = 30 + 50/60xx = 30 + 5/6xx - 5/6x = 301/6x = 30x = 6*30x = 180180 minutes = 3 hours
1:00 + 3 hours = 4:00
✭Flo and carl must read a 500 page book.
✭Flo reads one page every 1 minute (60seconds).
✭Carl reads one page every 50 Seconds.
✭Flo starts reading at 1:00.
✭Carl starts reading at 1:30.
[tex]\large\bold{\underline{\underline{To \: Find:-}}}[/tex]When will carl catch up to flo?
[tex]\large\bold{\underline{\underline{Solution:-}}}[/tex]Let Flo read certain pages when carl catches up with him. Then carl also read the same amount pages at that time.
Let the time passed be "x" minutes.
If carl Reads 1 page every 50 seconds, then 50 seconds can be written as 5/6th of a minute.
Carl's rate will be:
[tex]Carl \: \: Rate \: = \frac{Page}{Minutes} = \frac{ \frac{1}{5} }{6} = \frac{6}{5} [/tex]Now, flo got a 30 minute head start. therefore, when carl catches up, he will read certain pages at x + 30 minutes.
And the number of pages that carl read after the time he had started, that is, "x" minutes will be:
[tex] ⇒\frac{6}{5} \times x[/tex]But, the number of pages carl and flo read will be the same at that time!
[tex] ⇒\frac{6x}{5} = x + 30[/tex][tex] ⇒\frac{6x}{5} - x = 30[/tex][tex] ⇒\frac{x}{5} = 30[/tex][tex]⇒x = (30 \times 5) \: \: minutes[/tex][tex]⇒x = (150) \: \: minutes[/tex]So carl catches up after 150 minutes.
Now, 1:30 + 150 minutes = 1.5 hours + 2.5 hours = 4:00.
Carl will catch up at 4:00.AC = 39
2x-8
X+17
Find the length of AB
27
12
10
None of the other answers are correct
22
Answer:
Step-by-step explanation:
b
Answer:
12
Step-by-step explanation:
AB + BC = AC
(2x - 8) + (x + 17) = 39
3x + 9 = 39
x = 10
AB = 2(10) - 8 = 12
[tex]\frac{20}{24}[/tex] = [tex]\frac{x}{48}[/tex]
SOLVE FOR X!
Answer:
x = 40
Step-by-step explanation:
Set up a proportion.
20/24 = x/48
Divide 48 by 24.
48 / 24 = 2
Multiply 2 by 20.
2 x 20 = 40
x = 40
Answer:
[tex]x=40[/tex]
Step-by-step explanation:
We have:
[tex]\frac{20}{24}=\frac{x}{48}[/tex]
First, we can reduce the left-hand side. Reduce both the numerator and the denominator by 4. Thus:
[tex]\frac{5}{6}=\frac{x}{48}[/tex]
Cross-Multipy:
[tex]6x=240[/tex]
Divide both sides by 6. Hence, the value of x is:
[tex]x=40[/tex]
Given the polynomial 2xcube + 5xsquare + 3x +4 what is it’s value when x= 10
Answer:
2534
Step-by-step explanation:
2x^3+5x^2+3x+4
x=10, so:
2(10)^3+5(10)^2+3(10)+4
2000+500+30+4
Answer: 2534
Simplify (2s+5-3s)+4(s-6^2)
Answer: 3s-139
Step-by-step explanation: (2s+5 - 3s)+4(s-6^2)
Collect like terms and evaluate
(-s+5) +4 (s-36)
Rewrite and remove the parentheses
-S+5 +4s -144
Collect like terms and calculate and you get
3s-149
The segments shown below could form a triangle.
А
С
B
5
6
В
12
O A. True
O B. False
Answer:
its false
Step-by-step explanation:
The three line segments cannot form a triangle
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
Now , the measure of side AC = 6 units
The measure of side BC = 5 units
And , the measure of side AB = 12 units
where AC + BC = 11 units
And , AC + BC < AB
So , the triangle cannot be formed when the sum of two sides is less than the third side
Hence , the triangle cannot be formed with 6 , 5 and 12 units of measurements
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A company charges an initial fee plus an hourly rate to rent scooters. This table
shows the total cost to rent a scooter for different amounts of time.
Hours Total Cost
3 $25
5 $35
7 $45
What is the hourly rate (in dollars) that the company charges to rent a scooter?
Answer:
8.3, 7, 6.4 which is $21.07
Step-by-step explanation:
Answer:
8.333333333333 but round it to 8.3
Step-by-step explanation:
all u have to do it divide 25 and 3 and get 8.3333333 so then u round it to 8.3
If you roll a number cube, what is the theoretical probability of rolling an odd number? If the experimental probability of rolling an odd number was 13 out of 20 times, is the experimental probability equal to the theoretical probability?
Answer:
5/6
Step-by-step explanation:
Which of the following has the least value?
5/7; 7/8; 11/15; 7/10
Answer:
7/10
Step-by-step explanation:
solve 5 divide by 7 =0.714
solve 7 divided by 8 = 0.875
11 divided by 15 = 0.73333
7 divided by 10= .70
Krutika was thinking of a number. Krutika doubles it and gets an answer of 26.5. What was the original number?
Answer:
2x + 8.7 = 64.9
Step-by-step explanation:
Answer:
13.25
Step-by-step explanation:
Which of the following numbers can be expressed as repeating decimals? (5 points) 4 over 7 , 2 over 5 , 7 over 8 , 4 over 9 4 over 7 and 4 over 9 7 over 8 and 4 over 9 4 over 7 and 2 over 5 2 over 5 and 7 over 8
Answer:
4/9
Step-by-step explanation:
Answer:
4/9 and 4/7
Step-by-step explanation:
Please answer see the image please answer correctly, please
Step-by-step explanation:
not wrong that is super right
Which function is represented by the graph?
|-x+3
x + 3
-x + 3
l-xl +3
NOBODY EVEN ASKS THESE QUESTIONS
Answer:
C
Step-by-step explanation:
Answer: C is the correct answer on edge
A motorboat moves across a lake. It begins at 50km from shore after 9 minutes it is 14 km from shore. What’s it’s distance from shore in a function
Answer:
List all of the solutions.
50 k m =
9 m i n u t e s =
14 k m =
Step-by-step explanation:
Answer:
y = -4x + 50
Step-by-step explanation:
To write the function we'll use y = mx + b, where y is the distance the boat is away from shore, m is how many km/minute the boat moves at, x is how many minutes it's been, and b is how many km away from shore the boat was at the start. We already know the value of b is 50, so we can put that into the equation:
y = mx + 50
To find how many km the boat moves per minute, let's use the given amount of minutes and km (9, 14) and put them into the equation:
14 = m(9) + 50
Now let's solve for m:
14 = 9m + 50
Subtract 50 from both sides to isolate the 9m:
14 - 50 = 9m + 50 - 50
- 36 = 9m
divide both sides by 9 to isolate the m:
-36/9 = 9m/9
-4 = m
The boat moves at -4 km/minute, which is the same thing as saying that after 1 minute passes, the boat gets 4km closer to the shore. Now we can input this value into the equation and we have our answer:
y = -4x + 50
Paul plans to buy a movie that has a regular price of $19.99. It is on sale for 25% off, but Paul will have to pay 6% sales tax. Round to your answer to the nearest whole number.
Answer:
16.00
Step-by-step explanation:
19.99 - 25% + 6% = 15.89 =16.00
Un granjero tiene 100 vacas que pesan 125 kg cada una. El costo diario de mantenimiento de una vaca asciende a $ 5.00. Las vacas ganan peso a razón de 3 kg diarios. El precio en el mercado es ahora de 25 pesos por kg y esta bajando a razón de un centavo diario. ¿cuanto tiempo debe esperar el granjero para obtener una ganancia maxima al vender sus vacas?.
Answer:
25 days
Step-by-step explanation:
Assuming that the farmer waits for n days to get get the maximum profit.
Given that the total number of cows the farmer has, = 100
Currect weight of one cow = 125 kg.
Weight gain rate for one cow = 3 kg/day
So, weight gained by one cow in n days = 3n kg
Therefore, the weight of one cow after n days [tex]= 125 + 3n \;\;kg \cdots(i)[/tex]
Cost for keeping one cow = $5/day.
Cost for keeping one cow for n days = $ 5n
So, Cost for keeping 100 cows for n days [tex]= \$ 5n \times 100 =\$500n \cdots(ii)[/tex]
Current market price = 25 pesos / kg = 125 cents / kg [ as 1 peso = 5 cents]
The falling rate of market price = 1 cent /day.
Fall in price in n days [tex]= 1\times n = n[/tex] cents.
So, market price after n days [tex]= 125-n cent/kg\cdots(iii)[/tex]
By using equations (i) and (iii),
The selling price of one cow after n days [tex]= (125+3n) \times (125-n)[/tex] cents.
So, the selling price of 100 cows after n days [tex]= (125+3n) \times (125-n)\times 100[/tex] cents.
As 1 $ = 100 cents. so
The selling price of 100 cows after n days [tex]=\$ 5(125+3n) (125-n)\cdots(iv)[/tex].
Now, from equations (ii) and (iv)
Net profit, [tex]P = 5(125+3n) (125-n) - 500n\cdots(v)[/tex]
To get the maximum profit, differentiate the profit function in equation (v) with respect to n and equate it to zero to get the value of n, i.e
[tex]\frac {dP}{dn}=0 \\\\\Rightarrow \frac {d}{dn}(5(125+3n) (125-n) - 500n)=0 \\\\\Rightarrow 5[ (125+3n)(-1)+(125-n)(3)]-500=0 \\\\\Rightarrow 5[ -125-3n+375-3n]-500 =0 \\\\\Rightarrow 5[ -125-3n+375-3n]=500\\\\\Rightarrow 250-6n=500/5=100 \\\\\Rightarrow 6n = 250-100=150 \\\\\Rightarrow n= 150/6 = 25.[/tex]
Hence, the farmer has to wait for 25 days to get the maximum profit.
El granjero puede obtener ganancias máximas en el día 229.
En este problema debemos construir una función de ganancia ([tex]G[/tex]), en pesos, igual a la ganancia neta por venta de la carne de vacuno ([tex]N[/tex]) menos los costes de mantenimiento ([tex]M[/tex]). Cada una de las variables ha de considerar el cambio de los indicadores en función del tiempo, entonces:
Función de ganancia
[tex]G = N - M[/tex] (1)
Función de ganancia neta
[tex]N = (125+3\cdot t)\cdot 100\cdot (5-0.01\cdot t)[/tex] (2)
Función de mantenimiento
[tex]M = 5[/tex] (3)
Al aplicar (2) y (3) en (1) tenemos la siguiente fórmula:
[tex]G = (125 + 3\cdot t) \cdot 100 \cdot (5 - 0.01\cdot t) - 5[/tex]
[tex]G = (125 + 3\cdot t) \cdot (500-t) - 5[/tex]
[tex]G = 62500+1500\cdot t -125\cdot t -3\cdot t^{2}-5[/tex]
[tex]G = -3\cdot t^{2}+1375\cdot t +62495[/tex]
El día correspondiente a la máxima ganancia es el valor [tex]t[/tex] del vértice de la parábola. Una forma rápida es mediante herramientas gráficas. Aquí encontramos que el granjero puede obtener ganancias máximas en el día 229.
Para aprender más sobre funciones cuadráticas, invitamos a ver esta pregunta verificada: https://brainly.com/question/8495268
Complete the missing value in the solution to the equation:
7 + 5x = =3(y-2)
( ,5)
Answer:
x = 2/5
Step-by-step explanation:
Given:
7 + 5x = 3(y-2)
Rearrange this equation such that x is expressed in terms of y
7 + 5x = 3(y-2) (expand right side)
7 + 5x = y(3)-2(3)
7 + 5x = 3y-6 (subtract 7 from both sides)
5x = 3y - 6 - 7
5x = 3y - 13
we are given the y-value of the coordinate pair (? , 5)
simply substitute y=5 into the equation above
5x = 3y - 13
5x = 3(5) - 13
5x = 15 - 13
5x = 2 (divide both sides 5)
x = 2/5
Solve 2x^2 - 3x = 12 using the quadratic formula.
A) x = 3/4+√105/4i, x = 3/4-√105/4i
B) x = 3/4+√87/4i, x = 3/4-√87/4i
C) x = 3/4 + √87/4, x = 3/4-√87/4
D) x = 3/4 + √105/4, x = 3/4-√105/4
Answer:
[tex]x = \frac{3}{4} + \frac{ \sqrt{105} }{4} \: \: , \: \: \: x = \frac{3}{4} - \frac{ \sqrt{105} }{4} \\ [/tex]
Step-by-step explanation:
2x² - 3x - 12 = 0
Using the quadratic formula which is
[tex]x = \frac{ - b \pm\sqrt{ {b}^{2} - 4ac} }{2a} \\ [/tex]
From the question
a = 2 , b = - 3 , c = - 12
So we have
[tex]x = \frac{ - - 3\pm \sqrt{ ({ - 3})^{2} - 4(2)( - 12)} }{2(2)} \\ = \frac{3\pm \sqrt{9 + 96} }{4} \\ = \frac{3\pm \sqrt{105} }{4} \: \: \: \: \: \: [/tex]
Separate the solutions
We have the final answer as
[tex]x = \frac{3}{4} + \frac{ \sqrt{105} }{4} \: \: , \: \: \: x = \frac{3}{4} - \frac{ \sqrt{105} }{4} \\ [/tex]
Hope this helps you
Each container below describes a ratio of marbles.
Drag marbles to each container to match the description.
Answer:
Step-by-step explanation:
bro that is easy first box will have 4 red 1 blue, second would have 3 reed 2 blue, last one would be 4 blue 1 red
1. What is the slope of the line graphed below?
Coordinate 1:
Coordinate 2:
Slope:
Answer:
were is the line graphed?
Step-by-step explanation:
But I will help?
Answer:
I can't see the line but if you start at a point where the line crosses over an intersecting corner and find the next nearest corner where it intersects the slope will be however many up(or down - if its down its negative) you have to go/ how many sideways you have to go
ex:
so in example A the slope would be 2/1 which simplifies to 2 and in example B the slope would be -3/2
7. What is the value of any real number raised to 0?
A. 1
C.O
B.
2
D. 3
Answer:
A. 1
Step-by-step explanation:
The value of any real number raised to 0 is 1.
What is it called when the rate of Change is the same on the entire graph
Answer:
Constant rate of change. The rate of change is the same on the entire graph.
Step-by-step explanation:
Which of the following is the slope of the line passing through each pair of points?
Point 1:(-9, -3)
Point 2:(-7, -5)
8 poin
Question 10. Find the retail sale price of each item below. Round to two
decimal places when necessary. Original price: $119; Markdown: 70 %*
$80.50
$189.00
O $35.70
O $76.90
Answer:
The correct answer is option C.$35.70
What's the lcm for 18, 27, 12? I got 648. Am not sure if it is correct. Can you please explain if it is correct or not?
Answer:
Step-by-step explanation:
Put these numbers into their prime factors.
18: 2 * 3 * 3
27: 3 * 3 * 3
12: 2 * 2 * 3
The LCM must have
two 2s
Three 3s
That's it
2*2 * 3 * 3 * 3
LCM = 108
648 might be a multiple of the three, but it's not the smallest one.
108 = 27 * 4
108 = 18 * 6
108 = 12 * 9
plzzzzzz help me thank you :))
Answer:
1 and 1/4
Step-by-step explanation:
Maricella solves for x in the equation 4 x minus 2 (3 x minus 4) + 4 = negative x + 3 (x + 1) + 1. She begins by adding –4 + 4 on the left side of the equation and 1 + 1 on the right side of the equation. Which best explains why Maricella’s strategy is incorrect?
The multiplication that takes place while distributing comes before addition and subtraction in order of operations.
In order to combine like terms on one side of the equation, the inverse operation must be used.
When the problem is worked in the correct order, the numbers that Maricella added are not actually like terms.
Maricella did not combine all three constants on both sides of the equation; she combined only two.
Answer:
its A yo
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Can someone help me?
Choose an inequality for each situation.
1. Last Wednesday, there was more than 4 inches of snow. _________________
2. Yesterday, there was less than 25 inches of snow. _________________
3. The temperature tomorrow will be no more than 8 °F. _________________
4. The temperature today will be at least 7 °F. _________________
Answer:
The symbols that we will use are:
a > b (a is larger than b)
a < b (a is smaller than b)
a ≥ b (a is larger than or equal to b)
a ≤ b (a is smaller than or equal to b).
1) if x represents the inches of snow, we have:
"More than 4 inches" means that x must be strictly larger than 4 inches, this can be written as:
x > 4 inches.
2) "less than 25 inches" means that x must be strictly smaller than 25 inches, this can be written as:
x < 25 inches.
3) If T represents the temperature
"No more than 8°F" means that the temperature can be smaller than 8°F, or equal to 8°F, then we can write this situation with:
T ≤ 8°F
4) "At least 7°F" means that the temperature can be 7°F or more than that, then we can write this situation as:
T ≥ 7°F
geometry is experienced that in the early childhood setting through
playing with blocks??
During the month of April, it rains 2 days for every 3 days that it does not rain. What percent of the days in April does it rain?
Answer:
40%
Step-by-step explanation:
In month of April, the percent of raining will be 40 %.
Given that, In the month of April, it rains 2 days for every 3 days that it does not rain.
It means that in 5 days, 2 days raining and 3 days does not raining.
Number of days raining in 5 days = 2 days
Percent of raining is, [tex]=\frac{2}{5}*100 =40[/tex]
Hence, In month of April, the percent of raining will be 40 %.
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Maxwell purchased $15,000 worth of 52-week T-Bills for $14,650. What will be the rate of return on his investment?
Answer:
2.39%
Step-by-step explanation:
Maxwell bought $15,000 worth of 52-week T-bills for $14,650
Therefore the rate of return on investment can be calculated as follows
= 15,000-14,650/14,650× 100
= 350/14,650 × 100
= 0.02389 × 100
= 2.39%
Hence the rate of return on this investment is 2.39%