Two mountain bikers are riding on a 35-mile trail. Abel started at the beginning of the trail and is riding at a rate of 14 miles per hour. Neal started 6 miles ahead of Abel and is riding at a rate of 11 miles per hour. When will the boys be at the same point on the trail?
If Abel’s journey is represented by the equation d = 14t, where d represents the total distance and t represents time in hours, what equation represents Neal’s journey?
d = 11t + 6
11 and 6 are your answers
Please mark Brainliest
Answer:
11 and 6 are correct
Step-by-step explanation:
Ahmed works in a factory his normal rate of pay is £12.00 per hour
When ahmed works on sundays he is paid overtime for each hour.The overtime rate of pay is 1 1/4 times his nomal hourly rate. Lat weekend Ahmed worked 9 hours on Saturday and 6 hours on Sunday. Work out how money he earned during that weekend
Answer:
Ahmed earned £198.00 on that weekend.
Step-by-step explanation:
Given that:
Normal hourly pay = £12.00
Overtime pay = [tex]1\frac{1}{4}[/tex] of normal rate
Overtime pay per hour = [tex]\frac{5}{4}*12[/tex]
Overtime pay per hour = £15.00
Hours worked on Saturday = 9 hours
Amount earned on Saturday = 9*12 = £108.00
Hours worked on Sunday = 6 hours
Amount earned on Sunday = 6*15 = £90.00
Total amount earned on weekend = 108+90 = £198.00
Hence,
Ahmed earned £198.00 on that weekend.
The Pythagorean triple (5, 12, 13) can't be generated from the identity (x? 1)2 + (2x)2 = (x2 + 1)
which has only one variable, because the length of the hypotenuse (13 units) and the length of the longer
of the other two legs (12 units) are not 2 units apart.
Find a two-variable identity by incorporating a second variable, y, into the single-variable identity. Note
that x > 1, x > y, and x and y are positive integers.
Select the correct answer.
5
9514 1404 393
Answer:
A. (x² -y²)² +(2xy)² = (x² +y²)²
Step-by-step explanation:
As is often the case with problems like this, the correct answer (A) is the only answer that is actually a true equation.
Choices B, C, D are only true if x or y is zero--a violation of the given condition that they are positive integers.
Help plsssssss.................
Answer:
B
Step-by-step explanation:
you do 0.74 + 0.18 and then subtract 0.8
please help me find the value of x!!
Answer:
I wanna say "5"
Step-by-step explanation:
pluging in 5 for every X should get you
15
HELP THIS IS DUE IN ONE HOUR I NEED A GOOD ANSWER! Each sales associate at an electronics store has a choice of the two salary options shown below.
• $115 per week plus 9.5% commission on the associate’s total sales
• $450 per week with no commission
a. The average of the total sales amount for each associate last year was $125,000. Based on this average, which salary option would result in a higher salary?
b. What is the difference between the two salary options?
Answer:
a) $450 per week, because you have room to earn more money because the average is sales is $2397.26 per week which the commission for option one would be is $227.74 which means on average people get $ 342.74, so $450 every week is a much higher salary.
b) The differace is that option 1 has the potential to increase by you selling more you can make more but in option 2 you know you will get $450 a week every week and that you would need to sell well above average to make more than $450
A bag contains 4 red marbles, 8 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that both marbles drawn will be red?
Answer:
The probability, to the nearest 10th of a percent, that both marbles drawn will be red is 28.5%
Step-by-step explanation:
Number of red marbles = 4
Number of blue marbles = 8
Number of Green marbles = 2
Total number of marbles = 4+8+2 =14
We need to find the probability, to the nearest 10th of a percent, that both marbles drawn will be red?
The formula used will be: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Number\:of\;possible\:outcomes}\\[/tex]
In our case, Number of favourable outcomes = 4 (as red marbles are drawn)
Number of possible outcome = 14 (Total number of marbles)
The probability will be:
[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Number\:of\;possible\:outcomes}\\\\Probability=\frac{4}{14}\\ Probability=0.2857\\[/tex]
Now, calculating nearest 10th of a percent
[tex]Probability = 0.2857*100\\Probability=28.5%[/tex]
So, the probability, to the nearest 10th of a percent, that both marbles drawn will be red is 28.5%
A soccer field is 120 yards long and 60 yards wide. How long is the diagonal of the field?
Answer180 yards long
180
Step-by-step explanation:
Pentru sala de mese a scolii s-au adus 12 scaune si 7 mese, plătindu-se 320lei.Știind că 4 scaune costă cât trei mese, află prețul unui scaun și prețul unei mese.
Răspuns:
Costul scaunului = 15
Costul mesei = 20
Explicație pas cu pas:
Dat fiind:
Să prețul scaunelor = c; pretul mesei = t
12c + 7t = 320 - - - (1)
4c = 3t; c = 3/4 t - - - (2)
Introducerea c = 3 / 4t în (1)
12 (3 / 4t) + 7t = 320
9t + 7t = 320
16t = 320
t = 320/16
t = 20
c = 3 / 4t
c = 3/4 (20)
c = 15
Costul scaunului = 15
Costul mesei = 20
In a dance competition, a participant has to score a total of at least 30 points in the first four rounds combined to move on to the fifth and final round. Steward scored 5 points in the first round. He then went on to score additional points in the second, third, and fourth rounds. In each of those rounds, his score was identical. Which inequality best shows the number of points, p, that Steward scored in each of the second, third, and fourth rounds if he earned a place in the finals?
5 + 3p ≥ 30
5 + 3p ≤ 30
5p + 3 ≥ 30
5p + 3 ≤ 30
Answer:
A) 5+3p ≥ 30
Step-by-step explanation:
The 5+3p has to be greater than 30 to move on to the next round. The student scored 5 points in the first round and since the other 3 rounds he scored the same amount of points, your equation would be 5+3p ≥ 30 :)
If you were to solve this, you would subtract 5 from both sides to find that 3p≥ 25. Divide 25 by 3 to find out that Steward needed to score at least 9 points in each of rounds 2,3, and 4, so a possible solution could be that he earned 5 points in round 1, 9 in round 2, 9 in round 3, and 9 in round 4 for a total of 32, which is enough to qualify for the final round :)
match the pair of points with the slope of the line that joins them
Answer:
Step-by-step explanation: use the equation m=(y2-y1/x2-x1)
M=(-5-(-11)/-1-(-8))
M=6/7
Find the equation for parabola
Focus(3,4)
Directrix y=2
Answer:
Step-by-step explanation:
we know that distance d from the focus to P should be the same to the distance from P to the directrix
(x-h)^2=4p(y-k)
we need to find the y coordinate,
x is the same from focus, 3
y=(3, (4+2)/2)=(3,3)
we find p now by subtracting the y from the focus from the y that we just found
p=4-3=1
again (x-h)^2=4p(y-k), p=1
(x-3)^2=4(1)(y-3)
(x-3)^2=4(y-3), (x-3)^2=4y-12
simplify
4y=(x-3)^2+12
y=((x-3)^2)/4 + 3
The equation for the parabola would be y = ((x-3)^2)/4 + 3.
How to find the equation for the parabola?We already know that distance d from the focus to P must be the same as the distance from P to the directrix
(x-h)^2 = 4p(y-k)
x is the same from focus 3
y = (3, (4+2)/2)
y =(3,3)
by subtracting the y from the focus from the y that we get
p = 4-3 =1
similalry,
(x-h)^2=4p(y-k), p=1
(x-3)^2=4(1)(y-3)
(x-3)^2=4(y-3),
(x-3)^2=4y-12
simplify it;
4y=(x-3)^2+12
y = ((x-3)^2)/4 + 3
Thus, the equation for the parabola would be y = ((x-3)^2)/4 + 3.
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help pls. it would be much appreciated
Step-by-step explanation:
By Sine rule, BC/sin93° = 11/sin42°.
Therefore BC = 16.4.
Roger and his sister started watching a cartoon movie at 2:45 P.M. The movie was 2 hours and 15 minutes long. After the movie, they played a card game for 45 minutes and then played soccer in the backyard for 2 hours and 30 minutes. What time was it when Roger and his sister finished playing soccer?
Answer:
08:15 pm
Step-by-step explanation:
2:45 + 2:15 + 0:45 + 2:30
=8:15
how would you multiply negative numbers? or negative fractions for example -12 x 12 is what and please explain good
Answer:-12 x 12 =- 144.
What you do is multiply regularly then add the negative sign, but if your multiplying 2 negatives it’s a positive answer. I cant help with the Fractions caz I’m not good at them lol .
Need answer asap pls..........
Answer:
Try B
Step-by-step explanation:
Using the formula for Fahrenheit and Celsius temperatures, F = 9/5 C + 32.
If the temperature is currently 25 degrees F. what is the temperature in C
degrees? Round to the nearest WHOLE number. LABEL
Answer:
-4 degrees Celsius
Step-by-step explanation:
F = 25
Substitute into formula: 25 = 9/5C + 32
subtract 32 from each side: -7 = 9/5C
multiply each side by the reciprocal of 9/5, which is 5/9
-7(5/9) = C
C = -35/9 which is close to -36/9 which is -4 degrees Celsius
A retailer (GameStop, Target, or other stores) will receive 23% of the sale price of a video game. If a retailer sells
a video game for $60.00, how much money will the retailer receive
Answer:
$13.80
Step-by-step explanation:
23% of 60 is 13.8, therefore the retailer will receive $13.80 if a $60.00 video game is sold.
Suppose Upper F Superscript prime Baseline left-parenthesis x right-parenthesis equals 3 x Superscript 2 Baseline plus 7 and Upper F left-parenthesis 0 right-parenthesis equals 5. Find the value of Upper F left-parenthesis b right-parenthesis for b equals 0 comma 0.1 comma 0.2 comma 0.5 comma and 2.0.
It looks like you're given
F'(x) = 3x² + 7
and
F (0) = 5
and you're asked to find F(b) for the values of b in the list {0, 0.1, 0.2, 0.5, 2.0}.
The first is done for you, F (0) = 5.
For the remaining b, you can solve for F(x) exactly by using the fundamental theorem of calculus:
[tex]F(x)=F(0)+\displaystyle\int_0^x F'(t)\,\mathrm dt[/tex]
[tex]F(x)=5+\displaystyle\int_0^x(3t^2+7)\,\mathrm dt[/tex]
[tex]F(x)=5+(t^3+7t)\bigg|_0^x[/tex]
[tex]F(x)=5+x^3+7x[/tex]
Then F (0.1) = 5.701, F (0.2) = 6.408, F (0.5) = 8.625, and F (2.0) = 27.
On the other hand, if you're expected to approximate F at the given b, you can use the linear approximation to F(x) around x = 0, which is
F(x) ≈ L(x) = F (0) + F' (0) (x - 0) = 5 + 7x
Then F (0) = 5, F (0.1) ≈ 5.7, F (0.2) ≈ 6.4, F (0.5) ≈ 8.5, and F (2.0) ≈ 19. Notice how the error gets larger the further away b gets from 0.
A better numerical method would be Euler's method. Given F'(x), we iteratively use the linear approximation at successive points to get closer approximations to the actual values of F(x).
Let y(x) = F(x). Starting with x₀ = 0 and y₀ = F(x₀) = 5, we have
x₁ = x₀ + 0.1 = 0.1
y₁ = y₀ + F'(x₀) (x₁ - x₀) = 5 + 7 (0.1 - 0) → F (0.1) ≈ 5.7
x₂ = x₁ + 0.1 = 0.2
y₂ = y₁ + F'(x₁) (x₂ - x₁) = 5.7 + 7.03 (0.2 - 0.1) → F (0.2) ≈ 6.403
x₃ = x₂ + 0.3 = 0.5
y₃ = y₂ + F'(x₂) (x₃ - x₂) = 6.403 + 7.12 (0.5 - 0.2) → F (0.5) ≈ 8.539
x₄ = x₃ + 1.5 = 2.0
y₄ = y₃ + F'(x₃) (x₄ - x₃) = 8.539 + 7.75 (2.0 - 0.5) → F (2.0) ≈ 20.164
Solve for s: -2s < 6
AS3
Se
C) s >=-3
D) S-3
Answer:
Step-by-step explanation:
here you go mate
step 1
-2s < 6 equation
step 2
-2s < 6 divide the sides by 2
-2s/-2<6/-2
answer
s>-3
Which expression below does NOT equal 54?
O A. 3 x 3 x 6
O B. 2 X 3 X9
C. 2 X 3 X 3 X 3
O D. 2 x 2 x 2 x 6
You don't have to give reasons please help soon
Answer:
heyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
Answer:
52
Step-by-step explanation:
angle R is a right angle which is 90°
if you add angle S and angle R you get angle PQS because sum of two opposite interior angle is equal to it's exterior angle
34°+90°=x+72°
124°=x+72°
x=124°-72°
x=52°
Please someone help and explain, I don't understand what it means
Answer:
B
Step-by-step explanation:
you keep adding 2 to your previous answer
A wedding planner she did the 234 gas at a reception so that each table have the same number of guest if each table could see no more than 20 people what is the largest possible number of guest at each table
Answer:
the largest number of people she can sit at a table is 18.
Step-by-step explanation:
there would be 13 tables
The required possible tables is 13 and the largest number of people she can sit at a table is 18.
What is arithmetic?
Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
A wedding planner she did the 234 guests at a reception so that each table have the same number of guest if each table could see no more than 20 people.
According to given question we have
Total number of guest=234
i.e 234/13=18 people
The largest number of people she can sit at a table is 18.
The possible tables can arrange to sit the guest is 13.
Therefore, the required possible tables is 13 and the largest number of people she can sit at a table is 18.
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I need some help ASAP brainliest will be given.
Step-by-step explanation:
y+7=3x
6x-2y=12
y=3x-7
6x-2(3x-7)=12
6x-6x-14=12
-14=12
There is no solution.
Eight teams of high school students helped clean up trash in the community.
Afterwards, they shared 55 pizzas equally.
How many pizzas did each team get?
Alejandro has gone to school StartFraction 5 Over 7 EndFraction of the last 35 days. Which expression can be used to determine the number of days Alejandro has gone to school?
35 divided by 7 = StartFraction 5 Over 7 EndFraction
35 times StartFraction 5 Over 7 EndFraction
StartFraction 5 Over 7 EndFraction divided by 35
StartFraction 7 Over 5 EndFraction divided by 35
Answer:
35 times StartFraction 5 Over 7 EndFraction
Step-by-step explanation:
Alejandro has gone to school (5/7) of the last 35 days.
We need to find the expression that can be used to determine the number of days Alejandro has gone to school.
[tex]x=\dfrac{5}{7}\times 35\\\\=5\times 5\\\\=25[/tex]
So, the correct option is (b) "35 times StartFraction 5 Over 7 EndFraction".
Answer:
(B) 35x5/7
Step-by-step explanation:
The graph below shows the cost C for bowling g games at Strike King. Another bowling center, Thunder Alley, charges $2.25 per game.
At what point do the graphs of Strike King (shown) and the graphs of Thunder Alley (not shown) intersect? Explain why this is always the case for proportional relationships.
Answer:
They intersect when the Strike king is at (9,15.75) and Thunder Alley is at (7, 15.75). But only the X axes intersect. The X and Y axes intersect at (0,0) that's where they start and that is where they meet. Its a proportional relationship because their ratios are equivalent. It represents the constant of proportionality.
Step-by-step explanation:
Solve the system of equations by substitution.
x+y=32
y=7x
Answer:
x=4
Step-by-step explanation:
since y=7x
x+7x=32
8x=32
x=4
Answer:
x=4
Step-by-step explanation:
x+y=32
y=7x
Since Y can be replaced by 7x, substitute into eq1.
x+y( notice y can be replaced by 7x) =32
x+7x=32 ( Y got replaced
8x=32
Divide 8 on both sides.
x=4
Hope this helps plz hit the crown :D
You can spend up to $35 on a shopping trip. You want to buy a shirt that cost $14. Write and solve an inequality that represents the amount of money you will have left if you buy the shirt
Answer:
Step-by-step explanation:
a. 35 greater than or equal to 14 + x
35 - 14 = 21
x = $21
b. If the shirt is 30% off it would cost $9.80
14 x 0.3 = 4.2
14 - 4.2 = 9.8
35 is greater than or equal to 9.80 + x
35 - 9.8 = 25.2
x = $25.20
This changes the inequality by making x greater than it was in part a
c. Yes, you do have enough money to buy the shirt that is on sale and a pair of pants. x is the amount that you have left to spend after you buy the shirt that is on sale. 25.20 is greater than the cost of the pants.
Ripley’s Aquarium charges $29.95 for (a) adults and $13.95 for (c) children. Write an expression to represent admission pricing
Answer:
T=29.95a + 13.95c
Step-by-step explanation:
For this equation let a=amount of adult tickets, c=amount of children tickets, and T=the total cost. Since each adult ticket costs 29.95 dollars that needs to be multiplied by the number of adult tickets to see how much was spent on adults, the same goes for the price and number of children tickets. Finally, both of those totals need to be added together to see how much is spent overall for all of the guests.