Answer:
The average speed of the athlete for the entire competition is approximately 21.23 km/hr
Step-by-step explanation:
The given parameters of the athlete performance in the triathlon are;
The length the athlete swims = 750 m = 0.75 km
The time the athletes spends swimming = 15 minutes = 0.25 hours
The speed with which the athlete cycles = 40 km/hr.
The time the athletes spends while cycling = 30 minutes = 0.5 hours
The distance the athlete ran = 5 km
The average speed with which the athlete ran = 3 m/s = 10.8 km/hr.
The formula for average speed, s is Average speed = Total distance/(Total time)
The distance, ∑d, the athlete covered in the entire competition is given as follows;
∑d = 0.75 km + 0.5 hr. × 40 km/hr. + 5 km = 0.75 km + 20 km + 5 km = 25.75 km
The distance, ∑t, the athlete spends in the entire competition is given as follows;
∑t = 0.25 hr. + 0.5 hr. + 5 km/(10.8 km/hr.) = 0.25 hr. + 0.5 hr. + 0.463 hr. ≈ 1.213 hr.;
Therefore;
The average speed of the athlete for the entire competition, s = ∑d/∑t = 25.75 km/(1.213 hr.) ≈ 21.23 km/hr.
How do I solve this?
The equations are
5a+7s=25
2a+3s=10.5
Answer:
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Step-by-step explanation:
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HELP ASAP, DON'T SPAM ITS TIMED
its attached below
Answer:
i think b is you're answers
Answer:
C
Step-by-step explanation:
The general form of a polynomial expression is
[tex]a_{n}[/tex][tex]x^{n}[/tex] + [tex]a_{n-1}[/tex][tex]x^{n-1}[/tex] + [tex]a_{n-2}[/tex][tex]x^{n-2}[/tex] + ............ + a₁[tex]x^{1}[/tex] + a₀
For the given polynomial the [tex]x^{n}[/tex] term is - [tex]x^{13}[/tex] , that is n = 13 , thus
n - 7 = 6 , that is the [tex]x^{6}[/tex] term
with [tex]a_{n-7}[/tex] being its coefficient
Since there is no [tex]x^{6}[/tex] term, then its coefficient is zero, that is
[tex]a_{n-7}[/tex] = 0 → C
1. How can you tell that a point on the graph is a maximum or minimum?
2. How would you explain average rate of change to a classmate who was absent today? What does it tell us and how do we find it?
please give a simple summary of both answers after the explanations!!
9514 1404 393
Answer:
there are no points higher than a maximum; no points lower than a minimumaverage rate of change is the slope of a straight line connecting the points of interest.Step-by-step explanation:
1. A point on a graph is a maximum if there are no points on the graph that are higher.
A point on a graph is a minimum if there are no points on the graph that are lower.
Sometimes you're interested in a "local" maximum or minimum. In that case, the "no points higher/lower" rule refers to points in the immediate vicinity of the one of interest.
Sometimes you're interested in a maximum or minimum on an interval. In that case, the rule applies to points contained within the interval. (The maximum or minimum may be at the end of the interval.)
__
2. Average rate of change is defined over some interval. That is, you are given the end points of the interval of interest. The average rate of change is the slope of a straight line between those end points. The slope formula applies:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1} \quad\text{where the end points of the interval are $(x_1,y_1)$ and $(x_2,y_2)$}[/tex]
2. Graph the solution to the inequality y < -4/5x + 4
Answer:
Use DESMOS graphing calculator
Here's the picture for the answer.
Hope this helped :)
factor completely 64^2 - 1
Answer:
4095
Step-by-step explanation:
Solve for g?
3=g/-4-5
its a 3g b but it's become to 4G ok and 4 -5 is -1 ok that's always question is
A plumber charges his customers $25.70 per hour, h, plus a $54.50
service fee. On Tuesday, he earns $118.75 for fixing Mrs. Goodwill's
sink.
Mrs. Goodwill also hires an electrician to repair several damaged
outlets in her home. The electrician charges $35.22 for each individual
outlet repair, r, plus a $62 service fee.
If the electrician charges Mrs. Goodwill a total of $167.66, which
equation shows how to determine the number of individual outlet
repairs correctly?
A. 35.22-62r = 167.66
B. 35.22r -62 = 167.66
C. 35.22 +62r = 167.66
D. 35.22r + 62 = 167.66
Answer:
D
Step-by-step explanation:
multiplying 35.22 with r since this amount is charged for every repair and then adding 62 since that is the additional fee
A taxi company charges an initial fee of $1.95, plus $1.60 per mile driven. Shelly has $22.00 to spend on a taxi ride. Which inequality represents the number of miles, m, that Shelly can ride in a taxi
Answer:
Equation
1.95+1.6m ≤ 22
If solved
m ≤ 12.53
Step-by-step explanation:
SO we know the initial fee is 1.95
and for every mile driven, its $1.6
And we know that Shelly can spend less then or exactly the price of 22.
We know that m is miles driven
So we can make an equation
1.95+1.6m ≤ 22
1.95 can’t change since initial fee
1.6*m becuase its 1.6 for every mile driven and since “m” miles were driven, we multiply that by 1.6
Now it can’t go over 22 but it could be less than 22.
So this equation makes sense
If we solve it, it would be about m ≤ 12.53 miles
Solve the exponential equation: 4x - 2 = 2x
Answer:
x= 1
Step-by-step explanation:
Solve
Let's solve your equation step-by-step.
4x−2=2x
Step 1: Subtract 2x from both sides.
4x−2−2x=2x−2x
2x−2=0
Step 2: Add 2 to both sides.
2x−2+2=0+2
2x=2
Step 3: Divide both sides by 2.
2x
2
=
2
2
x=1
Solve for x.
18 /x =-2
Answer:
X=-9
Step-by-step explanation:
Answer:
x = -9
Step-by-step explanation:
Exactly 512 tickets were sold for the talent show at Cypress Middle School. The number of student tickets sold was three times the number of adult tickets sold. How many adult and student tickets were sold?
Answer:
Number of adult tickets sold = 128
Number of student tickets sold = 384
Step-by-step explanation:
Given that:
There are two types of tickets:
1. Student tickets
2. Adult tickets
As per the question statement, number of student tickets sold were three times the adult tickets sold.
Let the number of adult tickets sold = [tex]x[/tex]
So, number of students tickets sold = [tex]3x[/tex]
Total number of tickets sold = Number of adult tickets sold + Number of student tickets sold = 512
[tex]\Rightarrow x+3x=512\\\Rightarrow 4x=512\\\Rightarrow x = 128[/tex]
Therefore, the answer is:
Number of adult tickets sold = 128
Number of student tickets sold = [tex]3\times 128[/tex] = 384
A recipe calls for 2 cups of sugar, 3 cups of flour, 1 cup of butter, and 1/2 a cup of chocolate chips. What is the ratio of flour and butter to sugar?
Answer:
2 : 1
Step-by-step explanation:
Recipe :
Sugar = 2 cups
Flour = 3 cups
Butter = 1 cup
Chocolate chips = 1/2 cup
ratio of flour and butter to sugar?
Total cups of flour plus butter = (3 + 1) = 4 cups
Cups of sugar = 2 cups
ratio of flour and butter to sugar :
4 cups : 2 cups
= 2 : 1
help me out on this :)
Answer:
Answer is B
Step-by-step explanation:
y = -1
A triangle ABC and its translated image XYZ are shown below.What relationship CANNOT be used to prove that triangle ABC is congruent to triangle XYZ?
Answer:
The answer is "Angle-Angle-Angle".
Step-by-step explanation:
Please find the image file in the attachment.
The angle of an image, composed of two rays at such a popular end-state, could be described. Angles with a tape measure are measured in degrees, When the three angles congruence between two triangles, that is NOT the congruence of a triangle. It seems to be the same (and similar form, yet we know nothing of their scale. We may call us comparable.
Need help on this please and thank you
Step-by-step explanation:
a. 4/7t =56
4t= 392
t=98
b. 4=1/2 b -12
4+12=1/2 b
16=1/2 b
so, b =32
Bridget purchased 3 pairs of shoes online. The total bill of $126.81 included a $7.50 shipping charge and 6% tax on the total purchase. If the shoes that Bridget purchased were all priced the same, how much did each pair of shoes cost
Answer:
$37.
Step-by-step explanation:
Firstly, let's set the price of each pair of shoe to be x.
Since each pair of shoes costs the same, and there are three pairs, we can set the original price to be 3x.
Now, to apply the shipping charge, all we have to do is add 7.50 to 3x, getting 3x + 7.5.
Next, to apply a 6% tax, we can multiple the whole expression by (100% + 6%), getting (3x + 7.5) [tex]\cdot[/tex] 106%.
Since the whole bill foots to a total of $126.81, we can set the final equation to be:
[tex](3x + 7.5) \cdot 106\% = $126.81[/tex]
[tex](3x + 7.5) \cdot \frac{106}{100} = $126.81[/tex]
[tex]3x + 7.5 = $126.81 \cdot \frac {50}{53}[/tex]
[tex]3x = $119.6 - 7.5[/tex]
[tex]3x = 112.1[/tex]
[tex]x \approx \$37[/tex]
Hope this helped!
3. Three measuring tapes are respectively 24cm, 35cm and 54cm. Which shortest length
of a tape can be exactly measurable by these three tapes? Find it.In L.C.M division method
Answer:
7560
Step-by-step explanation:
view picture
if
[tex] \sqrt[2]{1845} [/tex]
then find the value
[tex]\qquad\bullet\quad {:}\dashrightarrow\rm \sqrt [2]{1845}}[/tex]
[tex]\qquad\bullet\quad {:}\dashrightarrow\rm\sqrt [2]{1845}[/tex]
[tex]\qquad\bullet\quad {:}\dashrightarrow\rm sqrt[345]{2096}[/tex]
Learn more:-fraction rules
[tex]\boxed{\begin{minipage}{6 cm}\bf{\dag}\:\:\underline{\textsf{Fraction Rules :}}\\\\\bigstar\:\:\sf\dfrac{A}{B} + \dfrac{B}{C} = \dfrac{A+B}{C} \\\\\bigstar\:\:\sf{\dfrac{A}{B} - \dfrac{B}{C} = \dfrac{A-B}{C}}\\\\\bigstar\:\:\sf\dfrac{A}{B} \times \dfrac{C}{D} = \dfrac{AC}{BD}\\\\\bigstar\:\:\sf\dfrac{A}{B} + \dfrac{C}{D} = \dfrac{AD}{BD} + \dfrac{BC}{BD} = \dfrac{AD+BC}{BD} \\\\\bigstar\:\:\sf\dfrac{A}{B} - \dfrac{C}{D} = \dfrac{AD}{BD} - \dfrac{BC}{BD} = \dfrac{AD-BC}{BD}\\\\\bigstar \:\:\sf \dfrac{A}{B} \div \dfrac{C}{D} = \dfrac{A}{B} \times \dfrac{D}{C} = \dfrac{AD}{BC}\end{minipage}}[/tex]
What are the zeros? Please help
any one can solve this
Answer:
The height of water in the container is 5 cm
Step-by-step explanation:
Here, we want to calculate the height of the water in the container
Mathematically, the volume is :
50 * 30 * h = 1500h cm^3
Also, 7.5 L = 7500 cm^3 = 7.5 L
Let the height be h
1500h = 7500
h = 7500/1500
h = 5 cm
Multiply
7z3 (2z2 – 4z).
A. 14z5 – 28z4
B. 9z5 – 11z4
C. 14z6 – 28z4
D. –14z
Answer:
solve it
Step-by-step explanation:
Garrys H is one less than three times is Sister's age Girl ❤️ Gary's age is one less than three times is Sister‘s age Girl ❤️ Gary is 11 years old how old is his sister
Answer:
4 years old
Step-by-step explanation:
His sister is x years old.
Gary is 1 year less than 3 times her age, so his age is
3x - 1
His age is 11, so we can write an equation.
3x - 1 = 11
Add 1 to both sides.
3x = 12
Divide both sides by 3.
x = 4
Answer: She is 4 years old.
Answer:
4
Step-by-step explanation:
Plz help its urgent
Answer:
(b) 6
Step-by-step explanation:
Because QS and PR are perpendicular, The line QS passes through the line PR. Therefore, we can subtract PS from PR.
8-2=6
How do you add 70 to 580
Answer:
580 +70 which is 650
Step-by-step explanation:
add
Find the slope of the line passing through the points (8,-6) and (1, -2).
Step-by-step explanation:
The slope of the line is -4/7.
Answer:
..............................
HELP!!!!! part A: Ms.Donaldson earns $18.80 per hour for the first 40 hours she works in a week. She earns 1 1/2 times that amount per hour for each out beyond 40 hours in a week. Last week Ms.Donaldson worked 45.5 hours. How much money did she earn? Part B: A health incurrence payment of 34.55 was deducted from Ms.Donaldson's earnings for the week. After the incurrence deduction, payroll taxes equal to 28% of the balance were deducted. What was the amount that Ms.Donaldson received afterwards?
Answer: A. $907.10
B. $628.236
Step-by-step explanation:
For the first 40 hours, Ms.Donaldson will earn: = 40 × $18.80 = $752.0
We are informed that Ms.Donaldson worked 45.5 hours, this means that she worked an extra 5.5 hours. The amount paid for the extra hour will be:
= 5.5 × 1.5 × 18.8
= $155.10
The amount she earned will be:
= $752.0 + $155.10
= $907.10
B. A health incurrence payment of $34.55 was deducted from Ms.Donaldson's earnings for the week. Therefore, the amount she will have after the deduction will be:
= $907.10 - $34.55
= $872.55
After the incurrence deduction, payroll taxes equal to 28% of the balance were deducted. What was the amount that Ms.Donaldson received afterwards?
This will be:
= $872.55 - (28% × $872.55)
= $872.55 - (0.28 × $872.55)
= $872.55 - $244.314
= $628.236
find the slope
( 1,3) (4,9)
Answer:
2
Step-by-step explanation:
1. slope formula: [tex]\frac{y_{1}-y_{2} }{x_{1} -x_{2} }[/tex]
2. [tex]\frac{9-3}{4-1}[/tex]
3. [tex]\frac{6}{3}[/tex]
4. 2
Help! I literally don't understand any of this
Answer:
32 has exponent of 3
55 has exponent of 2
Step-by-step explanation:
1. Donald usually runs the same distance daily for a total of 28 miles per week, training for a marathon. This week he was unable to run for 3 days How many miles was Donald able to run?
its urgent
12miles
Step-by-step explanation:
this is because 28 divide by 7 is 4 so 4 a day is 12 for 3 days
If the measurment of the angles of a triangle are 3b,2b,and 4b then what is the smallest angle
Given:
The measurement of the angles of a triangle are 3b,2b,and 4b.
To find:
The smallest angle.
Solution:
According to the angle sum property, the sum of all angles of a triangle is 180 degrees.
[tex]3b+2b+4b=180^{\circ}[/tex] [Angle sum property]
[tex]9b=180^{\circ}[/tex]
Divide both sides by 9.
[tex]b=20^{\circ}[/tex]
Now,
[tex]3b=3(20^{\circ})=60^{\circ}[/tex]
[tex]2b=2(20^{\circ})=40^{\circ}[/tex]
[tex]3b=4(20^{\circ})=80^{\circ}[/tex]
Therefore, the smallest angle is 40 degrees.