Complete question:
Anty was riding his bike to school at a speed of 12 mph. When he was half of the way there, he got a flat tire. His mother drove him the rest of the way at a speed of 48 mph. What was his average speed?
Answer:
His average speed is 19.2 mph
Step-by-step explanation:
Given;
speed of Anty to school half of the way, v₁ = 12 mph
speed of Anty when his mother drove him half of the way, v₂ = 48 mph
The average speed of Anty is calculated as;
[tex]V_{average} = \frac{Total \ distance }{Total \ time }[/tex]
The value of the average speed is closer to 12 mph than 48 mph because Anty spent more time moving at 12 mph than at 48 mph.
Let the equal distance travel at each speed = 96 miles
Time taken at 12 mph = [tex]\frac{96 \ mile}{12 \ m/h} = 8 \ hours[/tex]
Time taken at 12 mph = [tex]\frac{96 \ mile}{48 \ m/h} = 2 \ hours[/tex]
Average speed = [tex]\frac{Total \ distance}{Total \ time } = \frac{96 \ mile \ + \ 96 \ mile}{2\ hr \ + \ 8\ hr} = \frac{192 \ miles}{10 \ hrs} = 19.2 \ mph[/tex]
Also, you can assume any other equal distance traveled at each speed, the average speed will still be 19.2 mph.
Check: let the equal distance traveled at each speed = 480 miles
Time taken at 12 mph = 480/12 = 40 hours
Time taken at 48 mph = 480/ 48 = 10 hours
Average speed = (480 + 480) / (40 + 10)
= 19.2 mph
Find the length of AB. 6 30 AB=[?]in
Answer:
AB ≈ 3.14 in
Step-by-step explanation:
arc AB is calculated as
AB = circumference of circle × fraction of circle
= 2πr × [tex]\frac{30}{360}[/tex]
= 2π × 6 × [tex]\frac{1}{12}[/tex]
= 12π × [tex]\frac{1}{12}[/tex]
= π ≈ 3.14 in ( to the nearest hundredth )
NEED HELP! Will give brainliest!!! Answer number 18 and 19
18. 3 (-5 + 1) = 6 x -3 = -18 false its -14
19. 1/2 x 2 + 1/4 x 12 = 8 false its 4
Help me as quick as possible
11x+4y=12
9x-4y=8
Solve it with elimination method
Answer:
x = 1, y = 1/4
Step-by-step explanation:
[tex]11x + 4 y = 12 \ \ \ ---( 1)\\9x -4y = 8 \ \ \ - - - (2)\\\\(1) + ( 2 ) => 20x + 0 = 20\\\\[/tex]
[tex]=> x = 1[/tex]
Substitute x = 1 in ( 1 ) :
[tex]11 + 4y = 12\\4y = 12 - 11\\\\y =\frac{1}{4}[/tex]
Circle D is inscribed in AABC as shown.
Point E marks the intersection of the two
shapes. Which of the following statements are
true?
Statement I: DE is the radius of the
inscribed circle.
Statement II: DE is perpendicular to AC.
Statement III: Point D is equidistant from
vertices A, B, and C.
Answer:
statement 1 and 2 are true
PLZ HELP, IT WOULD MEAN THE WORLD
A television was originally priced at $522, but Sam waited to buy it until the television was on sale for 50% off. If
he paid 8% sales tax on the sale price, how much did he pay in total?
Answer:
$281.88
Step-by-step explanation:
Solve for 50% of $522:
522 × 0.50
261
Solve for sales tax:
261 × 0.08
20.88
Solve for total:
261 + 20.88
281.88
Hey can u help me with this question
Answer:
y = 3x - 1
Step-by-step explanation:
→ Substitute x = 1 into all the equations to get y = 2
y = 3x - 1 ⇔ ( 3 × 1 ) - 1 = 2
Answer:
D
Step-by-step explanation:
You can answer this question without even worrying about slope if you know how the y-intercept should be. The y-intercept is where the line crosses the y-axis(the vertical line with the y label in case that needs to be explained.) With that alone, you can determine that the y-intercept is -1 and thus the answer is D. For the slope, try to find a point on the line that is on the grid (A good one is (0,-1) ). Then move from that point to the next point where two of the lines meet like (1,2). Slope is rise/run so you go 3 up and 1 to the right for 3/1 which equals 3.
Pls help :(
(It’s math)
Solve the system of equations
Answer:
(3,5)
Step-by-step explanation:
For this equation, you need to solve it like simultaneous equations. Both of these have a 4y, so that is relatively easy to do, once you know how to.
The signs in front of the 4y are different, so you add the 2 equations (to remove the ys all together).
This should be (2x+-8x)+(-4y+4y)=(-14+-4), or (2x-8x)+(4y-4y)=(-14-4).
This can be expanded to -6x+0=-18, or -6x=-18.
Dividing both sides by -6 leaves you with x=3.
To find y, substitute this x value into either equation (I picked equation 1 as it is simpler). This gives you 2(3)-4y=-14, expanded to 6-4y=-14.
From there, you subtract the 6 from both sides, to get the y alone (giving -4y=-20).
By dividing both sides by -4, you get y=5.
This means the answer is (3,5).
**This question involves simultaneous equations, so you might want to look at that. I'm always happy to help!
find the area of a circle if x=12 and y=3
Answer:
12.3693169
Step-by-step explanation:
x^2+y^2=r^2
(12)^2=(3)^2=sqroot(153)
=12.3693169
Explain what the graph of a polynomial that has a degree of 4, zeros of -1, 7, 10,
and a leading coefficient that is negative would look like.
Answer:
6, -5 and 6. Assume the leading coefficient of f(x) is 1. Write the equation of the cubic polynomial in standard form.
Which equation can be used to solve for x in the parallelogram below?
Answer:
option B
Step-by-step explanation:
According to Euclidean Geometry , opposite side and opposite angles of parallelogram are equal.
That is,
( 6x + 12 )° = (7x - 8 )°
Frank kept track of the amount of money he earned each day for 2 weeks.the amounts,in dollars,are listed below.
25,30,24,20,20,22.5,75,27,27,22,22,27,22.5,28
Find and calculate the measures of center and variability that best summarize frank's data.explain
Answer:
Step-by-step explanation:
Can I get some help please? Time is limited!!!
Arrange these numbers in order of size starting with the smallest: 0.7, 0.1015, 0.715, 0.11
Answer:
0.1015, 0.11, 0.7, 0.715
I need help what’s the answers
Answer:
Quadratic
Step-by-step explanation:
The format for a quadratic function is: y= ax^2+bx+c.
This matches your equation.
Select 3 side lengths that can form a right triangle.
Answer:
(16,63,65)
Step-by-step explanation:
Well, by trial and error, it turns out that 16²+63² = 65²
So the pythagorean triplet is (16,63,65)
Please help!!! Answer ASAP and please show work
Edited:
(-1,3)
read the text wrong. but the method below holds :D
Step-by-step explanation:
The intersection of the AC line with the BD line is at (1,3)
method: hold an old receipt on my phone screen. would describe it as a graphically approach to the solution
on paper a ruler would be enough to draw the two mentioned lines.
do you need an algebraic way to do it?
I will give BRAINLIEST to the correct answer
Find the measure of
Answer:
8p+102+4p+60 =90
12p+162-162 =90-162
12p. =-72
p =(-6)
CHT=8p+102
={8×(-6) }+102
=(-48)+102
=54
Carly is buying deli meat for her lunches this week. Turkey is on sale for $5.80 per pound. If Carly buys 1.25 pounds of turkey, how much money does she spend?
Answer:
Carly will have to spend $7.25
Step-by-step explanation:
We know that:
1 pound of turkey = $5.80
To find how much 1.25 pounds of turkey will cost, multiply:
5.80 x 1.25 = 7.25
Therefore, 1.25 pounds of turkey will cost $7.25
I really hope this helps!
-SpaceMarsh
Which triangles are congruent by ASA?
A). ABE= DEA
B) ADC=EBC
C) ADC=EDA
D) ABE=CDA
Please help?!!!
Answer:
c
Step-by-step explanation:
may I please have help from anyone thank you so much !
Answer:
1. SA
2. VO
3. SA
4. VO
5. SA
6. VO
SA=Surface Area
VO=Volume
8.
Find the slope of the in line containing the ordered pairs. (7 marks)
a. A(2,-5), B(-2,6)
Answer:
= -11/4
Step-by-step explanation:
To find the slope given two points
m = ( y2-y1)/(x2-x1)
= (6 - -5)/(-2 -2)
= (6+5)/(-2-2)
= 11/-4
= -11/4
Answer:
-2.75 (-2 3/4)
Step-by-step explanation:
you can do rise of a run whenever you have two points so you have 6-(-5)/-2-2 and solve so -11/4 and that equals -2.75.
how must m2 be changed to keep the lines parallel?
Answer:
bring the lines side by side ( example || )
Step-by-step explanation:
Complete the Law Of Sines Select the value that belongs to the green box, please somebody!
Answer: [tex]\frac{a}{\sin(A)} = \frac{b}{\sin(B)} = \frac{c}{\sin(C)}[/tex]
The sin(A) goes with 'a'
sin(B) goes with b
sin(C) goes with c
Each angle goes with the corresponding side to form the three fractions shown. You can break up that triple equation into smaller equations such as [tex]\frac{a}{\sin(A)} = \frac{b}{\sin(B)}[/tex] and [tex]\frac{b}{\sin(B)} = \frac{c}{\sin(C)}[/tex] and [tex]\frac{a}{\sin(A)} = \frac{c}{\sin(C)}[/tex]
Note: if you apply the reciprocal to all three sides, then you'll get an equivalent equation. I'm using the rule that A/B = C/D is the same as B/A = D/C.
Two circles have a scale factor of 3:2. What is the ratio of the circumferences of these circles?
A. 12:26
B. 13:12
C. 9:4
D. 3:2
Answer:
3:2
Step-by-step explanation:
The circumference is a distance. The ratio of the distance is the same as the scale factor. The ratio of the areas is the ratio of the scale factor squared and the volume is the scale factor cubed.
If i get 3486.25 points out of 4175 total amount of points, what would be my grade
Answer:
83.5%
Step-by-step explanation:
Answer:
B, 83.5%
Step-by-step explanation:
I got you dude, I math this out all the time. You divide how many points you have by how many points total to get the answer. You’ll need 3758 to get a A- (total points x 0.9)
Someone pls help me ill give out brainliest pls don’t answer if you don’t know
Answer: X
Step-by-step explanation: The Square root of 68 is 8.246, meaning the closest point to that number is X.
What is the solution of the equation 0.2x = 10?
Select one:
x=2
Ο α = 100
2= 20
x = 50
Answer:
x = 50
Step-by-step explanation:
0.2x = 10
Divide each side by .2
0.2x/.2 = 10/.2
x =50
Answer:
Step-by-step explanation:
x=50
0.2 x 50 = 10
sometimes we can determine the number of solutions that a system of equations has by simply observing and drawing conclusions from the equations. this is called
Answer:
observations and quadratic formula
Please help, giving Brainliest and 50 points!
Answer:
5^8
Step-by-step explanation:
Hey,
Know out exponent division propety knowledge. We can solve.
5^12/5^4 = 5^12-4=5^8
Hope this helped,
Joe Louis2
Answer:
5^8
Step-by-step explanation:
We know that a^b ÷ a^ c = a^ ( b-c)
5^12 ÷ 5^4 = 5^ (12-4) = 5^8
Which set of numbers can represent the side lengths, in inches, of an acute triangle? 4, 5, 7 5, 7, 8 6, 7, 10 7, 9, 12 Which set of numbers can represent the side lengths, in centimeters, of a right triangle? 8, 12, 15 10, 24, 26 12, 20, 25 15, 18, 20
Answer:
1) 5, 7, 8
2) 10, 24, 26
Step-by-step explanation:
1) For an acute triangle, the square of the longest side is less than the sum of the square of the two smaller sides.
a) 4² + 5² = 16 + 25 = 41
7² = 49 > 4² + 5². Therefore the triangle is not acute
b) 5² + 7² = 25 + 49 = 74
8² = 64 < 5² + 7². Therefore the triangle is acute
c) 6² + 7² = 36 + 49 = 85
10² = 100 > 6² + 7². Therefore the triangle is not acute
d) 7² + 9² = 49 + 81 = 130
12² = 144 > 7² + 9². Therefore the triangle is not acute
2) For a right angled triangle, the square of the longest side is equal to the sum of the square of the two smaller sides.
a) 8² + 12² = 64 + 144 = 208
15² = 225 > 8² + 12². Therefore the triangle is not a right triangle.
b) 10² + 24² = 100 + 576 = 676
26² = 676 = 10² + 24². Therefore the triangle is a right triangle.
c) 20² + 12² = 400 + 144 = 544
25² = 625 > 20² + 12². Therefore the triangle is not a right triangle.
d) 15² + 18² = 225 + 324 = 549
20² = 400 < 15² + 18². Therefore the triangle is not a right triangle.
