We have to know the relation between speed, time and distance to solve the question. The distance travelled expressed in terms of s is 16s+13.
The speed of a vehicle or person can be given by the distance travelled over time taken to travel the distance. We can find the time,distance and speed from this relation if we know any two of the three variables. Here in this question we have to assume the speed to be s,we know the different time intervals and we have to find out the distance travelled in terms of s. Distance can be calculated by multiplying speed by time taken. In the question it says that the first it travels at a speed s for 15 hours,so we can say for first half distance travelled is 15s, for the second part it says that it travels at a speed (s+13) miles/hour for 1 hour so we can say that the distance travelled for second part is (s+13) miles. Thus total distance travelled can be given by adding up first and second part
distance travelled=15s+(s+13)=16s+13 miles
Therefore we get the total distance travelled in terms of s to be 16s+13 miles.
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Which is the length of the hypotenuse for a right triangle with leg a = 8 and leg b = 15 cm?
Answer:
[tex] \huge{ \boxed{ \tt{17 \: cm}}}[/tex]
Option D is the correct choice.
☪ First , Let's know about right triangle , legs and hypotenuse :
A right triangle is a triangle with an angle of 90°.The two sides that form the right angle are called legs.The opposite side of right angle is the hypotenuse.☥ Let's explore about The Pythagorean Theorem :
Pythagoras was one of the first mathematician to recognize the relationship between the sides of a right triangle. This special relationship forms ' The Pythagorean Theorem '.The Pythagorean theorem states that the sum of the squares of the legs of a right triangle equals the square of the length of a hypotenuse. In algebraic terms , The Pythagorean Theorem is stated as : [tex] \boxed{ \sf{ {a}^{2} + {b}^{2} = {c}^{2} }}[/tex]------------------------------------------------------------
☯ Now , let's start to solve :
✑ [tex] \underline{ \underline{ \text{Given}}} : [/tex]
a = 8 cm , b = 15 cm✑ [tex] \underline{ \underline{ \text{To\: Find}}} : [/tex]
Length of a hypotenuse ( c )✐ [tex] \underline{ \bold{ \underline{Using \: Pythagorean \: Theorem}}} \: : [/tex]
☞ [tex] \boxed{ \bold{ \sf{ {a}^{2} + {b}^{2} = {c}^{2} }}}[/tex]
Substitute the known values :
↦ [tex] \sf{ {8}^{2} + {15}^{2} = {c}^{2}}[/tex]
↦ [tex] \sf{64 + 225 = {c}^{2} }[/tex]
↦ [tex] \sf{289 = {c}^{2} }[/tex]
↦ [tex] \sf{ {c}^{2} = 289 }[/tex]
Take the square roots of both sides :
↦ [tex] \sf{ \sqrt{ {c}^{2} } = \sqrt{289}} [/tex]
↦ [tex] \boxed{ \sf{c = 17 \: cm}}[/tex]
The length of the hypotenuse is [tex] \boxed{ \bold{ \text{17 \: cm}}}[/tex].
And we're done!!
Hope I helped!
Have a wonderful day ! ツ
~TheAnimeGirl ♡
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find the quotient. Problem is below
Answer:
26/9
Step-by-step explanation:
whenever you divide fractions, they turn into a multiplication problem and use the second fraction's reciprocal. so it would look something like this:
13/2 * 4/9
just do straight multiplication
numerators: 13*4 = 52
denominators: 2*9 = 18
52/18 = 26/9
Please helppppp. Thank you
Answer:
[tex]x \geq -42[/tex]
Step-by-step explanation:
[tex]3 - \frac{x}{2} \leq 18[/tex]
subtract 3
[tex]- \frac{x}{2} \leq 15[/tex]
multiply by two
[tex]-x \leq 30[/tex]
devide by -1 and flip the sign
[tex]x \geq -30[/tex]
write an equation of the line that passes through each pair of points (0,7) and (0,-8)
Explanation:
Both points have the same x coordinate x = 0, so this is the equation of the vertical line. It cannot be written in y = mx+b form because the slope m is undefined.
If x = 9 and y = –1, evaluate the following
expression:
5/X – Y
Give your answer as a fraction in its simplest form.
T a bake sale, bags of cookies sold for $2.00, $2.50, or $3.00, depending on the size. altogether, 106 cookies were sold, and $256 was earned for the sales. twice as many cookies were sold at the $2.00 charge than at the $3.00 charge. a. write a system of equations to represent this situation. be sure to define your variables.
71 cookies were sold at $2.00 each, whereas 35 cookies were sold at $3.00
What are simultaneous equations?
Simultaneous equations are related equations that are solved together to determine their unknown variables
Given : bags of cookies sold for $2.00, $2.50, or $3.00, depending on the size. altogether, 106 cookies were sold, and $256 was earned for the sales.
Let X be number of cookies sold at $3.00
Then cookies sold at $2.00 would be 2X
2X+X=106
3X=106
X=106/3
X=35(cookies sold at $3.00)
cookies sold at $2.00=106-35
cookies sold at $2.00=71
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Please help how to do this problem ❤️ gets 50 points
Answer:
Step-by-step explanation:
-0.166666666666666667
Here is an isosceles triangle.
Choose the true statements.
A. The triangle has two equal angles.
B. The triangle has an obtuse angle.
C. Two of the sides are the same length.
What is -6x-4+(2x+-8
Answer:
-4x+4
Step-by-step explanation:
30 POINTS! Need steps too !! Really small word problem
Step-by-step explanation:
—Math(zw)² – 2 (z/w)^(-1 )= z²w² – 2 w/z
w²z³ – 2w
= —————
z
w (z³w – 2)
= ——————
z
Follow my account^^
A paper airplane was thrown from the top of a tall building. The height of the paper airplane above the ground can be found using the function y = –3.5x + 42, where x is the time in seconds the airplane has been in the air.
How many seconds did it take the paper airplane to reach the ground?
Answer:
it took the airplane 12 seconds to reach the ground
Step-by-step explanation:
How many pounds are in 3000 ounces?
Answer:
187.5 pounds are in 3000 ounces
Step-by-step explanation:
The answer will be 187.5 pounds
Find the final sale price after these two discounts: Original price $65.00. Take 20% off, and then take $5 off that amount.
Answer:
20% 0f $65.00 is $13
$13 - $5= $8
Step-by-step explanation:
Percentage solution with steps:
Step 1: Our output value is 65.00.
Step 2: We represent the unknown value with $x$.
Step 3: From step 1 above,$65.00=100\%$.
Step 4: Similarly, $x=20\%$.
Step 5: This results in a pair of simple equations:
$65.00=100\%(1)$.
$x=20\%(2)$.
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
$\frac{65.00}{x}=\frac{100\%}{20\%}$
Step 7: Again, the reciprocal of both sides gives
$\frac{x}{65.00}=\frac{20}{100}$
$\Rightarrow x=13$
Therefore, $20\%$ of $65.00$ is $13$
Solve Each Equation PLS SHOW WORK
|8m + 7| - 5 = 60
Answer:
m = 7.25
Step-by-step explanation:
8m + 7 - 5 = 60
Evaluate like terms.
8m + 2 = 60
Isolate 8m.
8m = 60 - 2
Evaluate.
8m = 58
Find m.
m = 58 ÷ 8
m = 7.25
Answer:
Step-by-step explanation:
l8m+7l = 65
(8m+7) = 65 or -(8m+7) = 65
8m = 65-7 or -8m = 65 + 7
m= 58/8 or m = 72/(-8)
m= 7. 25 or m = -9
Science question help
Answer: the first one.
Step-by-step explanation:
Pleaseee , whic graph represents the inequiality?
Simplify 12+(-8)+(-5)
Answer: -1
Step-by-step explanation:
12+(-8)+(-5)
4+(-5)
= -1
Find the next 3 terms in the arithmetic sequence: -10, -14, -18, -22....
what is this pls help me ____?_____- $1,489= $5,237.
Answer:
6,726
Step-by-step explanation:
Go backwards.
5,237 + 1,489 = 6,726
Just add and you'll get the answer. Brainliest Please!!
- Hermionia
The graph of y = (x − 4)^2 − 49 has an x-intercept at (a, 0) where a > 0. What is a?
Based on the calculations using the given x-intercept of this graph, the value of a is equal to 11.
What is a linear function?A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.
In Mathematics, the y-intercept of any graph (parabola) occurs at the point where the value of "x" is equal to zero (0). Similarly, the x-intercept refers to the point at which the graph of a function crosses the x-axis and the value of "y" is equal to zero (0).
Given that the x-intercept is at (a, 0), we would simply substitute the given points as follows:
y = (x − 4)^2 − 49
0 = (a − 4)^2 − 49
(a − 4)^2 = 49
Taking the square of both sides, we have:
a - 4 = √49
a - 4 = 7
a = 7 + 4
a = 11.
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Determine the value of k so that f(x)=x^3+kx^2-kx-93 is divisible by (x+3) with no remainder
Answer:
k = 10
Step-by-step explanation:
For f(x) = x³ + kx² - kx - 93 to be divisible by (x+3) with no remainder, it means that at (x + 3) is a factor of the polynomial f(x).
Thus, it means that at x = -3, f(x) must be equal to zero.
Thus;
(-3)³ + k(-3)² - k(-3) - 93 = 0
-27 + 9k + 3k - 93 = 0
12k - 120 = 0
12k = 120
k = 120/12
k = 10
Draw a triangle with vertices (2,3), (3,5), and (5,3). Then translate 4 units left. Graph the translated figure and provide the translated coordinates.
NEED ANSWER ASAP!!!!!!!!
An airplane is flying at 32,000 feet when it starts it’s decent. It is
descending at a rate of 2000 feet per minute. Let x represent the minutes
of the flights descent and y represent the plane’s altitude.
a. Fill in the table.
b. Write an equation in slope-intercept form for the plane’s altitude.
c. Graph the equation from part (b).
Step-by-step explanation:
table
0 32000
1 30000
2 28000
3 26000
4 24000
question 2
y= - 2000*x+32000
graphic
In a basketball tournament, team A scored 6 more points than 3 times as many points as team B scored. Team C scored 45 more points than team B scored. The combined scores for all three teams was 476 points. Which statement about the number of points is true? Team A scored 85 points. Team A scored 255 points. Team C scored 261 points. Team C scored 130 points.
Answer:
"Team C scored 130 points."
Step-by-step explanation:
Let x represent how many points team B scored.
Team A: 3x + 6
Team B: x
Team C: x + 45
Total: 476 points
476 = (x) + (3x + 6) + (x + 45)
476 = x + 3x + 6 + x + 45
476 = 5x + 51
425 = 5x
x = 85
Team A:
3(85) + 6
= 261 pts
Team B:
= 85 pts
Team C:
(85) + 45
= 130 points
Answer:
Team c 130
Step-by-step explanation:
is the height of 6 and the volume of 96 proportional to the height of 4 and the volume of 64
Answer:
yes it is and there has to be 20 characters so gonna type random stuff after
Answer:
16
Step-by-step explanation:
64 divided by 4 = 16 and 96 divided 6 = 16
pls help fast
simply the complex fraction
Answer:
10/11
Step-by-step explanation:
(8/11)/(4/5)
= (8/11) x (5/4)
= 40/44
= 10/11
Answer: 10/11
Step-by-step explanation: multiply by the reciprocal of the divisor (8/11*5/4). you can reduce the fraction, so we can make it 2/11*5/1. just multiply, and you have your answer.
x : y = 5:3 and y: z = 7:10 Find x: z
Answer: USE A APP CALLED AIR MATH IT HELPED ME ALOT YOU TAKE A PICTURE
Step-by-step explanation:
Determine which quadrant the point is in: (-2,-5)
Quadrant
Steve worked 7 hours Monday, 5 3⁄4 hours on Tuesday and 3.2 hours on Friday. If Steve earns $8.50 per hour, how much money did he earn for these three days?
Please, show your work !! I’ll give you brain if you do !!
Answer:
135.58 i'm pretty sure.
Step-by-step explanation:
First, I calculated the amount of money he got on Monday. I multiplied. 8.50 x 7 which equals 59.50. Then, I calculated the amount of money he got on Tuesday. I multiplied 8.50 (since that is the number of money he gets paid) to 3.2 (since that's the amount of hours he works). I got 27.200. Then lastly, I calculated the amount of money he got on Friday. So I first I changed 5 3/4 into a decimal. This is 5.75. After, I multiplied 8.50 x 5.75, And got 48.8750. Lastly, I added. I added and got 135.575. So if you round it, it will be 135.58.
i need help with conditional statements if your first do top 2 if your second do bottom 2
Answer:
1: Converse: If GH is 3, then G is at 4
Inverse: If G is not at 4, the GH is not 3
Contrapositive: If GH is not 3, then G is not 4
2: Converse: If QR =(~) RS, then R is the midpoint of QS
Inverse: If QR does not =(~) RS, then R is not the midpoint of QS
Contrapositive: If R is not the midpoint of QS, the QR does not =(~) RS.
Step-by-step explanation:
Converse is to switch the two
Inverse is to make them both untrue, like if 1 +1 is 2, then 2+2 is 4, you could say if 1+1 is not 2, the 2+2 is not 4
Contrapositive is to switch them around and make them both untrue
Can I please have brainliest ;D