Given :
The Ironman endurance race has a 2.4 miles swim.
Javier can swim 0.5 miles in 20 minutes.
To Find :
How much time in hours it takes to complete the race.
Solution :
Speed of Javier :
[tex]s=\dfrac{2.4}{\dfrac{20}{60}}\ mph\\\\s= 7.2\ mph[/tex]
Let, time taken to cover 2.4 miles is t .
So,
[tex]t = \dfrac{2.4}{7.2}\ hours\\\\t = 0.33\ hours[/tex]
Hence, this is the required solution.
how many yards are there in 5 miles?
Answer:
8800
Step-by-step explanation:
Answer:
8800 yards
Step-by-step explanation:
hope it helps
The triangle and the trapezoid share a 15-inch base and a height of 10 inches. A. The area of the trapezoid is less than twice the area of the triangle. Find the values of x. Explain your reasoning.
Answer:
Possible values of x are whole numbers that are lesser than 15 inches
Step-by-step explanation:
We are given;
Base; b = 15 inches
Height; h = 10 inches
Formula for area of triangle is;
A_tria = ½bh
A_tria = ½ × 15 × 10
A_tria = 75 Sq.in
Now, formula for trapezoid is;
A_trapez = ½(a + b)h
Where a is the side parallel to the base.
We are told that the area of the trapezoid is less than twice the area of the triangle.
Thus;
½(a + 15)10 < 2(75)
Simplifying;
5(a + 15) < 150
Divide both sides by 5 to get;
a + 15 < 150/5
a + 15 < 30
Subtract 15 from both sides to get;
a < 30 - 15
a < 15
Possible values of x are whole numbers that are lesser than 15 inches
1. The circle C has centre (5,k), where k is a constant. The line y = 2x + 1 is tangent to C at point
A (3,7). Find the equation of C.
Answer:
[tex](x-5)^2+(y-6)^2=5[/tex]
Step-by-step explanation:
Equation of the Circle
A circle centered at (h,k) and radius r can be written with the equation:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
We are given the center (5,k), thus:
[tex](x-5)^2+(y-k)^2=r^2[/tex]
We know the point (3,7) belongs to the circle. This means the distance between the center and this point is the radius.
Given two points (x1,y1) and (x2,y2), the distance between them satisfies:
[tex]d^2=(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Calculating the radius, we have:
[tex]r^2=(7-k)^2+(3-5)^2[/tex]
[tex]r^2=(7-k)^2+4\qquad\qquad [1][/tex]
Now we use the fact that the line y=2x+1 and the circle are tangent at (3,7). The radius and the line are perpendicular at that point. Two perpendicular lines with slopes m1 and m2 satisfy the condition:
[tex]m_1\cdot m_2=-1[/tex]
The line y=2x+1 has a slope of m1=2, thus the slope of the segment from (5,k) to (3,7) has a slope of -1/2:
The slope is calculated as:
[tex]\displaystyle \frac{7-k}{3-5}=-\frac{1}{2}[/tex]
Operating:
[tex]\displaystyle \frac{7-k}{-2}=-\frac{1}{2}[/tex]
Multiplying by -2
[tex]\displaystyle 7-k=1[/tex]
Solving:
k=6
From [1] the radius is:
[tex]r^2=(7-6)^2+4[/tex]
[tex]r^2=1+4[/tex]
[tex]r^2=5[/tex]
Finally, substituting into the equation of the circle:
[tex]\mathbf{(x-5)^2+(y-6)^2=5}[/tex]
The graph can be seen in the figure below.
Answer:
Step-by-step explanation:
Someone plz help me I’m on my last question for delta math. I added a screenshot below
Answer:
f(x) = -2x – 7 ; if x < -5
-(x + 2)² + 6 ; if -5 ≤ x < 0
√(x) – 1 ; if x ≥ 0
The sum of 5 times a number and -6 is 2
How should I write that?
Answer:
5x-6=2
Step-by-step explanation:
work out inverse function
y=8x
Answer:
[tex]\frac{x}{8}[/tex]
Step-by-step explanation:
When solving inverse functions, switch the x and y's:
x=8y
Then solve for y: (divide 8 on both sides)
[tex]\frac{x}{8}=y\\[/tex]
Choose the graph below that represents the following system of inequalities:
y ≥ −3x + 1
y ≤ 1/2 x + 3
Answer:
the following system of inequalities:
y ≥ −3x + 1
y ≤ (1/2)x + 3
using a graph tool
see the attached figure
the answer is the option
B)Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded above the line
Step-by-step explanation:
pleaseee helppp
unit test due in 30 minss!!!
Answer:
Fraction: 81/100
Decimal: 0.81
Percent: 81%
Step-by-step explanation:
1) What would be another way to name plane M?
(picture attached)
A. plane KJH
B. plane J
C.plane HJG
D.plane GJN
The correct answer is C plane HJG
can you guys please help me with this and fast?
∛125?
Answer:
5
Step-by-step explanation:
125 breaks down into 5×5×5, which proves that it's 5.
Answer:
5 is the right answer
Step-by-step explanation:
Where will the lines y= -2/5x + 1 and y= -2/5x - 2 intersect?
Answer:
Never
Step-by-step explanation:
Their slope is the same so they will go down the same distance every time, and since the first one touches the y-intercept at 1 and the other one touches the y-intercept at -2, it is completely impossible for them to ever intersect
The larger nail is a dilation of the smaller nail.
Select all statements that are true.
Answer: the scale factor is 3/4
Step-by-step explanation:
Answer:
whats the rest of the answer?
Step-by-step explanation:
Evaluate each value expression for the given value of x: 3x-13, x=6
LAST ONE HURRY,FAST!!!!!!!!!!!!!!!!!!!
Answer:
30
Step-by-step explanation:
what is the average minimum wage of this problem. it was due yesterday but I cried because i suck at math and i never turned it in
Answer:
4.89
Step-by-step explanation:
You don't suck at math, just nobody has explained it good enough or gave you a calculator (working on your computation skills help if that's the problem). For an average, add up all the numbers and divide them by the amount of items you added up.
A pack of four bags of coffee cost $39.96. How much would 16 bags of coffee cost.
SHOW YOUR WORK
Answer:
$159.84
What we know - 4 bags cost $39.96
What we need to know - How much 16 bags cost
Step-by-step explanation:
We can solve this by simply knowing how many times 4 goes into 16. We can do this by writing the equation 16 ÷ 4 = 4. We now know that 4 goes into 16 4 times. By doing this we can now multiply $39.96 by 4 to get the cost of 16 bags which is $159.84.
Hope this Helps!!! :) Please comment below with some feedback!
Simplify the expression:
–3(9 − x) =
Answer:
Expand [tex]-3(9-x): -27 + 3x[/tex]
Step-by-step explanation:
[tex]-3(9-x)[/tex]
Apply the distributive law: [tex]a(b-c)=ab-ac[/tex]
[tex]a = -3, b=9, c=x[/tex]
[tex]=-3*9-(-3)x[/tex]
Apply minus - plus rules:
[tex]-(-a)=a[/tex]
[tex]= -3*9+3x[/tex]
Multiply the numbers: [tex]3 * 9 = 27[/tex]
[tex]=-27+3x[/tex]
Hope this helps! If so, may I get Brainliest and a Thanks?
Thank you, have a good one! =)
Leslie says that a temperature of -12 °C is colder than a temperature of -20 C because
1-12 <1-20). Is Leslie correct? Explain why or why not.
Answer:
Leslie is NOT correct
Step-by-step explanation:
Leslie thinks that the number closer to 0 that's in the negatives it smaller because the number is smaller. But actually, the number farther from 0 that's in the negatives is smaller. So, -12 °C is warmer than -20 °C
I hope this helps!
x^20-1=0,how many real roots does each have
Answer:
x = 1,-1 2 real roots
Step-by-step explanation:
PLEASE GIVE BRAINLIEST
can you please tell me if i got these right
Answer:
They are right! Great job!!
can someone help me fill this out....
Answer:
Step-by-step explanation:
First Line:
0, 1//7, 2/7, 3/7, 4/7, 5/7, 6/7, 1, 8/7, 9/7, 10/7
Second Line:
-1/3, 0, 1/3, 1/2, 1, 4/3
Third Line:
0, 1/3, 2/3, 1, 4/3, 5/3, 2
The area of a rectangle is less than 81 square centimeters. The length of the rectangle is 9 centimeters and the width is x centimeters. Select the possible value(s) of x.
Answer:
Given
The area of a rectangle is less than 81 square centimeters
length 9cm
width =x cm
Step-by-step explanation:
Area of rectangle=length ×width
= 9×X
Area of rectangle is less than 81 cm^2
So 9x-81=0
X=81/9
X=9
So the value of xis 9
PLZ HELP !!!!!!!!!!!!!!!!!!!!!!
Answer:
The last one
Step-by-step explanation:
We need to keep the variable on one side of the inequality
y-5 is greater than or equal to -4
+5 +5
y is greater than or equal to 1
So the last one is correct
Kenji is decorating papers with a total of 15 heart stickers and 12 star stickers for the child he is babysitting. If he wants to make all the papers identical, with the same combination of heart and star stickers and no stickers left over, what is the greatest number of pages Kenji can decorate?
Answer: The greatest number of pages Kenji can decorate = 3
Step-by-step explanation:
Given: Total heart stickers = 15
Total star stickers =12
If all the papers identical, with the same combination of heart and star stickers and no stickers left over.
Then the greatest number of pages Kenji can decorate = GCD(15,12) [GCD=greatest common divisor]
Since 15 = 3 x 5
12=2 x 2 x 3
GCD(15,12) =3
Hence, the greatest number of pages Kenji can decorate = 3
This is due in 30 mins pls help me
Answer:
Yes, it is still a line
Step-by-step explanation:
The slope of the line is not changed, just the y-intercept. It started as a line, therefore translating it up will have it still remain as a line
It's math Question i need Your help---)
Answer:
1no
125
2no
12.9
hope that this will help u
Adventureland plans on updating the Arcade with some new and improved games.
They plan on purchasing a new Air hockey table for $875.23, a pinball machine for
$622.19, and two arcade racing games for $942.49 each. What is the total cost for the
new games including an 8.75% sales tax? I will give brainiest
Answer: $3678.36
Step-by-step explanation:
New airball hockey table = $875.23
pinball machine = $622.19
2 arcade racing games = $942.49 each.= $942.49 × 2 = $1884.98
Total amount without sales tax will be:
= $875.23 + $622.19 + $1884.98
= $3382.4
Sales tax = 8.75% × $3382.4
= 0.0875 × $3382.4
= $295.96
Total cost = $3382.40 + $295.96
= $3678.36
is (3,2) a solution to 3x + 2y =13
Answer: yes
Step-by-step explanation:
(3*3) + (2*2) = 9+4 = 13 which is what the other side of the equation states so it is a solution
Answer:
Yes
Step-by-step explanation:
Plug the 3 into the x and plug the 2 into the y from (3,2)
So you get, 3(3) + 2(2)=13
9+4=13
On Wednesday, 10% of the customers who bought gas at a gas station made additional purchases. There were 250 customers who bought gas. How many of these 250 customers made additional purchases?
Answer:
25 customersStep-by-step explanation:
Step one:
given data
we are told that the total customers are 250 in number
and that 10% of customers made additional purchase.
Step two:
what we intend to find is the number that 10% represent in 250
this is shown as
=10/100*250
=0.1*250
=25
The number of customers that made an additional purchase is 25
Answer:
25
Step-by-step explanation:
Seventeen out of 20 teens said they eat breakfast every morning. What is the reasonable prediction for the number of teens out of 1,280 who eat breakfast every morning?
A.
340
B.
940
C.
1088
D.
1260
Answer:
It would be 1,088/1,280
Step-by-step explanation:
The answer is 1,088
2. Which of the values of x below will result in lines m and n being parallel?
(1) 41
(3) 20
6x + 14
m
(2) 5
(4) 27
1340
n
REASONING
С.
3
In the diagram shown below, ABC and AABFABCD.
Answer:
x= 16/3 now change in mixed fractions
no 2
For the value of x =20 will result in lines m and n being parallel
What is Straight line?a line is an infinitely long object with no width, depth, or curvature. Thus, lines are one-dimensional objects, though they may exist in two, three, or higher dimension spaces.
In the given figure, we need to find the value of x which makes the lines m and n are parallel.
parallel lines are coplanar straight lines that do not intersect at any point. Parallel planes are planes in the same three-dimensional space that never meet.
In the given figure we have two angles 6x+14 and 134.
We need to equate these to find the value of x.
6x+14=134
Subtract 14 from both sides
6x=134-14
6x=120
Divide both sides by 6
x=20
Hence for the value of x =20 will result in lines m and n being parallel
To learn more on Straight lines click:
https://brainly.com/question/29223887
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