Answer:
The answer is below
Step-by-step explanation:
Speed is the time rate of change of velocity, it is the ratio of distance to time.
Mr. Fowles runs at a steady 4.2 miles per hour. The time taken to cover 26 miles is:
speed = distance / time
time = distance / speed = 26 / 4.2 = 6.19 hour
I run at 3 miles per hour. I was given 3 mile lead, so the remaining distance is 23 miles (26 - 3). The time needed to complete the 23 miles is:
time = distance / speed = 23 / 3 = 7.67 hour
a) Let d be the distance Mr Fowles catches me. Hence:
time = (d + 3)/4.2; also time = d/3
(d + 3)/4.2 = d/3
3d + 9 = 4.2d
1.2d = 9
d = 7.5 miles
He would catch me at 10.5 (7.5 + 3) miles from the starting point.
b) Mr. fowles finishes after 6.19 hour. At that time, the distance is have covered is:
distance = 6.19 * 3 mi/hr = 18.57 mile
Distance behind = 23 mile - 18.57 = 4.43 mile
c) time longer = 7.67 hour - 6.19 hour = 1.48 hour
Jenny wants to buy an MP3 player that costs $30.98. Write an equation so find how much change (x) she receive if she gives the cashier $40. *
Answer:
40.00-30.98=x
My father invests $5000 in a new bank that has an annual
interest rate of 3.8%. Find the balance
after 10 years if it is compounded yearly. Round your answer to
the nearest whole dollar.
$
Miguel is building a picture frame for his friend who has painted a family portrait. Miguel is making a square frame for the painting. He purchased a 3 foot
pine board to build the frame. He used 21 inches of the board to make the frame. How much wood would be used to create 1 side of the frame?
HELP ME !!
The linear equation c = 6.5n + 1500 models cost c, in dollars, to produce n toys at a toy factory. What is the y-intercept, and what does it mean in this context?
A)The y-intercept is 6.5 and represents the number of toys produced increases by about 6.5 for each $1 increase in cost.
B)
The y-intercept is 1500 and represents the costs $1500 to run the factory if no toys are produced.
C)The y-intercept is 1500 and represents The factory can produce 1500 toys at no cost.
D)The y-intercept is 6.5 and represents the cost increases by $6.50 for each toy produced.
Answer:
B
Step-by-step explanation:
This is because 6.5n is the slope and the +1500 is the y-intercept. Remember its y=mx+b.
Answer:
B
Step-by-step explanation:
Hope this helps have a great day :)
last year ,david earned a salary of d dollars.This year ,he recieved a 1.5% raised.Which expression represents the salary david will earn this year? selet all that apply
A.0.015d
B.0.15d
C.1+0.015d
D.1+0.15d
E.1d+0.015d
F.1d+0.15d
G.1.015d
H.1.15d
Answer:
E. 1d+0.015d
G. 1.015d
Step-by-step explanation:
A is incorrect, as it only shows the 1.5% raise. B is incorrect, since that would be a 15% raise. C and D are incorrect because it's impossible to add a number with a variable to one without a variable. E is correct because it properly adds 100% (the amount he made without the raise) and 1.5% (the raise) together. F is incorrect because again, it adds 15%. G is correct because it is the total amount he makes, with the raise. H is incorrect because again, it adds 15%.
A circle has a diameter of 32 units. What is the area of the circle to the nearest hundredth of a square
Answer:
804.25 units²
Step-by-step explanation:
radius = diameter / 2
Area of a circle = πr²
radius = 32/2 = 16 cm
Area = (16)²π
Area = 256π = 804.247719
Area ≈ 804.25 units²
The length of a rectangle is one inch less than three times its width. If the perimeter of the rectangle is 118 inches, find the dimensions of the rectangle.
A circular garden is 20 feet across; a gardener wants to cover it with sod. If each sod piece is two square feet, how much sod will be needed?
Answer:
750
Step-by-step explanation:
Use the Pythagorean Theorem to find the missing length and then round the result to the nearest tenth a=? b = 5, c = 12 what is A
Answer:
Approximately 10.9
Step-by-step explanation:
[tex]a^2+b^2=c^2[/tex]
Plug in b (5) and c (12)
[tex]a^2+5^2=12^2\\a^2+25=144[/tex]
Subtract 25 from both sides
[tex]a^2+25-25=144-25\\a^2=119[/tex]
Take the square root of both sides
[tex]\sqrt{a^2} =\sqrt{119}[/tex]
a = approximately 10.9
I hope this helps!
solve attached problem
Answer:
what is the dot for?
Step-by-step explanation:
Alex, x, saved 30 dollars and Ethan saved 1
3
more than that.
Ethan saved _______________ dollars
Please help me solve :(((
Answer:
θ ≈ 15°
Step-by-step explanation:
Using the sine rule in the triangle
note 7.56 × 10² = 756 and 2.4 × 10³ = 2400 , then
[tex]\frac{756}{sin0}[/tex] = [tex]\frac{2400}{sin125}[/tex] ( cross- multiply )
2400 × sinθ = 756 × sin125° ( divide both sides by 2400 )
sinθ = [tex]\frac{756sin125}{2400}[/tex] , then
θ = [tex]sin^{-1}[/tex] ( [tex]\frac{756sin125}{2400}[/tex] ) ≈ 15° ( to the nearest degree )
People use water to cook, clean, and drink every day. An estimate of 33.9% of the water used each day is for cooking. If a family uses 67.8 gallons of water a day for cooking, how many gallons do they use every day?
Answer:
23 gallons of water
Step-by-step explanation:
People use water to cook, clean, and drink every day. An estimate of 33.9% of the water used each day is for cooking. If a family uses 67.8 gallons of water a day for cooking, how many gallons do they use every day?
This is calculated as:
33.9 % × 67.8 gallons of water
= 0.339 × 67.8 gallons of water
= 22.9842 gallons of water
Approximately = 23 gallons of water
Therefore, 23 gallons of water are used everyday for cooking
The area of a rectangular pool is (x + 17x + 72) square meters. The dimensions of the pool are the factors of this polynomial. There is a 3-meter-wide concrete walkway around the pool. Write expressions to represent the dimensions of the outside border of the walkway. (Lesson 21.1)
Answer:
The walkway around the pool makes the entire outer dimensions (outer border)
x+9+2x3=x+15 and x+8+2x3
hope this helps! could i get brainliest plz?
The expressions to represent the dimensions of the outside border of the walkway is (x + 12) meters for the length and (x + 11) meters for the width.
Given area : [tex]x^2 + 17x + 72[/tex]
The factored form of the polynomial is:
[tex]x^2 + 17x + 72[/tex] = [tex]x^2 + 8x+9x+72[/tex]
= x(x+8)+9(x + 8)
=(x + 9)(x + 8)
So, the dimensions of the pool are (x + 9) meters and (x + 8) meters.
The length of the walkway = 3 meters wide
So, the length is added to each side of the pool.
Dimensions of the outside border of the walkway:
Length: (x + 9) + 3 = x + 12 meters
Width: (x + 8) + 3 = x + 11 meters
Therefore, the dimensions of the outside border of the walkway are
(x + 12) meters for the length and (x + 11) meters for the width.
Learn more about polynomials here:
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Pls Help!!!!! I will pick the brainiest answer as well. ;)
Answer:
49
Step-by-step explanation:
20+4=24 24+25=49
A trader bought 20 cups of rice at 5 cups for 100 naira and sold them at 4 cups for 100naira . what was his profit
Answer:
He is making 20 naira profit for every 4 cups that he sells for 100 naira
Therefore, if he selled all this cups for 100 naira per 4 cups he made a total profit of 100 naira
Help me please thanks
Answer:
5/6
Step-by-step explanation:
(-6 - 4) / (3 * -4) [substitute a and b]
-10 / -12 [multiply the values in parenthesis]
5 / 6 [simplify by dividing by the common factor 2]
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
[tex]\frac{b+a}{3a} \\\\\frac{-6-4}{3(-4)} \\\\\frac{-10}{-12} \\\\\frac{5}{6}[/tex]
Solve for ppp. -5\left(p+\dfrac35\right) = -4−5(p+ 5 3 )=−4minus, 5, left parenthesis, p, plus, start fraction, 3, divided by, 5, end fraction, right parenthesis, equals, minus, 4
Answer:
p = 1
Step-by-step explanation:
4 - 5(p + 3/5) = -4
Find P
4 - 5(p + 3/5) = -4
4 - 5p -15/5 = -4
4 - 5p - 3 = -4
-5p + 1 = -4
-5p = -4 - 1
-5p = -5
p = -5/-5
p = 1
Check:
4 - 5(p + 3/5) = -4
4 - 5(1 + 3/5) = -4
4 - 5 - 15/5 = -4
4 - 5 - 3 = -4
4 - 8 = -4
-4 = -4
Answer:
ITS HELLA 1/5 NOT 1
Step-by-step explanation:
>:(
If Kate is traveling at 6 m/s and speeds up to 12 m/s in 3 seconds. What is Kate's acceleration?
Acceleration is 2.......
WILL GIVE BRAINLIEST IF GOTTEN RIGHT DONT ANSWER IF YOU DONT KNOW
Answer:
Option C: I and II
Step-by-step explanation:
When you look at the question, it says that BD and AE is correct. When looking at the options we have to find which ones include BD and AE.
A. "I only" This is incorrect because "I" is not the only answer with BD and AE.
B. "III only" This is also incorrect because "III" doesn't have AE.
C. "I and II" This is correct because both "I" and "II" have BD and AE.
D. "I and III" This is incorrect because it has only BD.
14. Solve for x.
110°
(8x - 1)
(5x + 36)
(6x-2)
(7x + 19)
116°
The value of x in the hexagon is 17.
How to find the angle of a hexagon?A hexagon is a polygon with six sides. The sum of angles in a hexagon is 720 degrees.
Therefore, x can be found in the hexagon as follows:
we have to sum the whole angles to get x.
110 + 8x - 1 + 5x + 36 + 116 7x + 19 + 6x - 2 + 110 = 720
combine like terms
110 + 116 - 2 + 36 - 1 + 19 + 8x + 5x + 7x + 6x = 720
278 + 26x = 720
subtract 278 from both sides of the equation
278 + 26x = 720
278 - 278 + 26x = 720 - 278
26x = 442
divide both sides by 26
x = 442 / 26
x = 17
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In the data set {(7,7);(3,10);(5,9);(2,12);(0,1);(6,4);(4,10);(8,6)}, which point is a possible outlier?
(6,4)
(7,7)
(2,12)
(0,1)
The possible outlier may be [tex](0,1)[/tex] as the second component is not greater than second components of the remaining pairs in comparison.
How to determine the possible outlier
In this data set, we observe that data set observes the rule that first component increases inasmuch the second component of the ordered pairs decreases. Thus, the possible outlier may be [tex](0,1)[/tex] as the second component is not greater than second components of the remaining pairs in comparison. [tex]\blacksquare[/tex]
To learn more on ordered pairs, we kindly invite to check this verified question: https://brainly.com/question/11740961
please help________^
Answer:
first answer
Step-by-step explanation:
an uber charges a flat fee of $15 then charges $4 per mile write an equation for the total cost of ur ride? identify the m, b, & Equation
Answer:
Step-by-step explanation:
EL ARQUITECTO VALDIVIA DONÓ UN TERRENO, COMO EN DE LA SIGUIENTE FIGURA, PARA CONSTRUIR UN PARQUE.
EL COMITÉ DEL FRACCIONAMIENTO VA A CERRARLO Y EMPASTARLO ANTES DE INICIAR EL DISEÑO DE LOS
PLANOS.
Answer:
THE ARCHITECT VALDIVIA DONATED A LAND, AS IN THE FOLLOWING FIGURE, TO BUILD A PARK.
THE FRACTIONATION COMMITTEE IS GOING TO CLOSE AND FILL IT BEFORE STARTING THE DESIGN OF THE BLUEPRINTS.
Step-by-step explanation:
This is what it says in english
Dos hermanos reciclaron la misma cantidad de kilos de papel que de envases de carton. Se pagan 183 por cada kilo de papel y 356 por cada kilo de carton y con lo que juntaron lograron ganar 3763.
Respuesta:
183x + 356y = 3763
Explicación paso a paso:
Dejar :
Número de kilos de papel = x; número de kilos de cartón = y
Kilo de papel = 183; kilo de cartón = 356
Cantidad total ganada = 3763
(Costo por kilo de papel * número de kilos de papel) + (costo de kilos de cartón * número de kilos de cartón)
(183 * x) + (356 * y) = 3763
183x + 356y = 3763
helllllllpppppppppp!!!!!!!!
Answer:
i dont know
Step-by-step explanation:
.
pls help! right answer = gets brainiest
Answer:
2,4 because they are hitting each other at that point
Answer:
D
Step-by-step explanation:
The solution is where the the red and blue line intersect.
What is the mean of the data set?
Fifth Grade Jump Distance
2 0
3 2 4 6
4 0 2 4 8
5 5
6 5
2 0 = 20 inches
42
40
45
20
Answer:
42
Step-by-step explanation:
Add all the numbers 20+, 32, 34, 36, 40, 42, 44, 48, 55, 65=416
then divide by total number of digits
(Mean: The mean is the average. It is found by adding all the data values and then dividing by the number of data points.)
41.6 rounded to 42
55 x 32 / 32
HELPPP GIVING BRAINLIEST
Answer:
55
Step-by-step explanation:
Just multiply then divide:
55 x 32 = 1760
1760 ÷ 32 = 55
Or just easier like:
55 x 32 ÷ 32 = 55
Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~