Step-by-step explanation:
Pythagoras :
c² = a² + b²
c is the Hypotenuse (side opposite of the right angle), which is in our case the distance of the 2 cars.
after 2 hours the east car was driving x miles. and the south car was driving x + 2×25 = x + 50 miles.
x² + (x + 50)² = 250²
x² + x² + 100x + 2,500 = 62,500
2x² + 100x = 60,000
x² + 50x = 30,000
x² + 50x - 30,000 = 0
the solution for a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 50
c = -30,000
x = (-50 ± sqrt(2500 - 4×1×-30000))/(2×1) =
= (-50 ± sqrt(2500 + 120000)/2 =
= (-50 ± sqrt(122500))/2 = (-50 ± 350)/2 =
= -25 ± 175
x1 = -25 + 175 = 150 miles
x2 = -25 - 175 = -200 miles.
negative distances don't make any sense here in our scenario, so the solution is x = 150 miles.
therefore, the east car was going 75 mph (traveled in 2 hours 150 miles).
and the south car was going 75 + 25 = 100 mph (traveled in 2 hours 200 miles).
Question 2
1 pts
Directions: Include the inequality symbol and solution. If you need less than or equal
to, use "<" and for greater than or equal to use ">".
A taxi charges a flat rate of $7.50 plus an additional $0.35 per mile. If Aliana has at most
$25 to spend on the cab ride, how far could she travel?
She could travel
Answer:
17.85 answer
Step-by-step explanation:
u add the following and the ans u get u take it away from 25
The inequality representing the given statement is 25 ≥ 7.5 + 0.35 x and Aliana can travel a total of 50 miles.
What is inequality?An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. It is most frequently used to compare the sizes of two numbers on the number line.
Given:
A taxi charges a flat rate of $7.50 plus an additional $0.35 per mile,
Aliana has at most $25 to spend on the cab ride,
Write the equation as shown below,
The total charges of the taxi = flat rate + rate per mile × number of mile
The total charges of the taxi = 7.5 + x × 0.35
Here, x is the number of miles
The total charge should be equal to $25 or less than $25 then,
25 ≥ 7.5 + 0.35x
Solve for x
0.35x = 25 - 7.5
x = 17.5 / 0.35
x = 50 miles
Thus, she can travel a total of 50 miles.
To know more about inequality:
https://brainly.com/question/2038369
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pls help
Determine if each pair of ratios is equivalent or not. 6/8 21/36
Answer:
Not
Step-by-step explanation:
6/8 In Simplest Form 3/4
21/36 In Simplest Form 7/12 May Be The Answer Will Be Not Equivalent
Hope To Help!!!
Which of the following lines are perpendicular to the line y= -1/2x +4 ? (you may choose more than one answer)
A. 2x - y = 1
B. y = 2x
C. 2x + y = 1
D. 1/2x - y =2
E. 2x - y = 3
Answer:
ABE
Step-by-step explanation:
Perpendicular means the slope of the line and the answer are reciprocal to each other.
The slope of the line is -1/2, which means the slope of the answer should be 2.
From A we got: y=2x-1
B:y=2x
C:y=-2x+1
D:y=-1/2x-2
E:y=2x-3
So the answer is ABE
#1: Find the value of X. (GEOMETRY)
I will give brainliest to BEST answer! fake answers will be reported.
refer to attachment!
Answer:
x = 14
Step-by-step explanation:
1. We know that all angle measures in a triangle sum to 180 degrees.
This means that 7x - 11 + 5x - 2 + 2x - 3 = 180.2. (Solving)
Step 1: Combine like terms.
[tex](7x+5x+2x)+(-11-2-3)=180[/tex] [tex]14x -16 = 180[/tex]Step 2: Add 16 to both sides.
[tex]14x - 16 + 16 = 180 + 16[/tex] [tex]14x = 196[/tex]Step 3: Divide both sides by 14.
[tex]\frac{14x}{14}=\frac{196}{14}[/tex] [tex]x = 14[/tex]Step 2: Check if solution is correct.
[tex]7(14)-11+5(14)-2+2(14)-3=180[/tex] [tex]98-11+70-2+28-3=180[/tex] [tex]180=180[/tex]Therefore, the answer is x = 14.
Please help guys this is just domain and range
Answer:
Domain: (0,3)
Range: (0,1)
Step-by-step explanation:
Domain is the interval of the x-axis of the graphed function
Range is the interval of the y-axis of the graphed function
How do I graph 2x-3?
Please I need Help!!! Solve this equation by factoring by grouping x^2-4x=12. All work must be shown and no other method will be accepted.
x² - 4x = 12
x² - 4x - 12 = 0
x² + (2x - 6x) - 12 = 0
x² + 2x - 6x - 12 = 0
x (x + 2) - 6 (x + 2) = 0
(x - 6) (x + 2) = 0
Then the solutions are x = 6 or x = -2.
[tex] \huge \red{\boxed{ \colorbox{black}{ \color{gold}{question}}}}[/tex]
Need help~
[tex] \sqrt{3 + 3 + 3 + 3 + 3 + 3} [/tex]
Answer:
3√2
Step-by-step explanation:
First, combine all the numbers in the square root, and then square root the number provided:
√(3 + 3 + 3 + 3 + 3 + 3) = √18
When square rooting, first, find prime factors of the number, 18. If there are pairs, they will be combined into a whole number:
√18 = √(3 * 3 * 2) = 3√2
3√2 is your answer.
~
[1(23x5)]/2
Solve this questionssss
sdfghfght
Dividing a polynomial
Answer:
the answer is
Step-by-step explanation:
-7u⁶y²-5u³+3uy²
that is the correct answer trust me
Anna saved $20 in a jar each month for 2 1/2
years. She spent 75% of her savings on a computer. How much money did Anna have left in the jar?
Answer:
20*2.5=50
50*0.75=37.5
Hope This Helps!!!
Answer:270
Step-by-step explanation:
someone please help, will give branliest
consider a sequence with the common difference of 5 and whose fiftieth term is 259. what are the first three terms of this sequence?
A- 15,20,25
B- 13,18,23
C- 9,14,19
D- 14-19,24
E- 10,15,20
hellpppppppppppppppp
Answer:Its probably c
Step-by-step explanation:
Answer:
Future Farmers of America
Step-by-step explanation:
what is the value of 5/6 divded by 1/2 helpi am bad at math
Answer:
5/3 or 1 2/3
Step-by-step explanation:
when you multiply fractions, you must 'multiply by the reciprocal'
you keep the first fraction the same, then you change the operation to multiplication, and finally you flip the second fraction so the denominator becomes the numerator and vice versa
5/6 ÷ 1/2 is the same as 5/6 × 2/1 = 10/6
always reduced to lowest terms when you can . . .
10/6 equals 5/3
Answer:
1.6667 as a decimal
Step-by-step explanation:
Hope this helps! Have a great rest of your day!
anybody help please hm
Answer: [tex]2^{21}[/tex]
Step-by-step explanation:
I'll mark you brainlest if you answer this correctly please help
Answer:
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Determine which number is greater and tell how many times as great. 7×1012 and 3.5×109
help please anybody Mhm
Answer:
B
Step-by-step explanation:
Answer:
Your answer would be C
Step-by-step explanation:
Because its a ratio of integers with a nonzero denominator.
What is the sum of 7/13 and 11/26? Please help!!
Answer:
The sum of 7/13 and 11/26 is 25/26.
Step-by-step explanation:
7/13 + 11/26
The common denominator is 26
7/13 *2/2 +11/26
14/26 + 11/26
25/26
Alexa has set up a lemonade stand outside her house and sells small cups and large cups of lemonade. Each small cup holds 8 ounces of lemonade and each large cup hold 16 ounces of lemonade. Alexa used 320 ounces of lemonade and sold twice as many small cups as large cups. Determine the number of small cups sold and the number of large cups sold.
Answer:
9485735
Step-by-step explanation:
If f(x)=-4x+1, what is f(-x/2)?
Answer:
[tex]f(-\frac{x}{2})=-2x+1[/tex]
Step-by-step explanation:
[tex]f(x)=-4x+1[/tex]
[tex]f(-\frac{x}{2})=-4(\frac{x}{2})+1[/tex]
[tex]f(-\frac{x}{2})=-2x+1[/tex]
Please find the surface area of the prism... I will mark you brainliest
Answer:
The surface area = 548 in²
Step-by-step explanation:
The surface Area = 2lw + 2lh + 2wh using l = 10 in, w = 7 in, and h = 12in.
Substitute into the formula and solve
2lw + 2lh + 2wh
= 2· 10·7 + 2· 10 · 12 + 2 ·7 ·12
= 140 + 240 + 168
= 548 in²
Find the equation of the axis of symmetry
for this function.
f(x) = 8x2 + 6x + 19
X=?
Find x. Round your answer to the nearest tenth of a degree.
Answer:
42°
Step-by-step explanation:
8 is the opposite
12 is the hypotenuse
We know from SOHCAHTOA to use sine
Since we are looking for the angle, we use sin^-1
sin^-1(opposite/hypotenuse)=x
sin^-1(8/12)=x
Input into calculator
x=42°
Step-by-step explanation:
we use the law of sine :
a/sin(A) = b/sin(B) = c/sin(C)
where the the side and related angle are always opposite to each other.
so,
12/sin(90) = 8/sin(x)
12/1 = 8/sin(x)
12 = 8/sin(x)
3 = 2/sin(x)
sin(x) = 2/3
x = 41.8103149...° ≈ 41.8°
need help with this asap………
Answer:
y= 32
Step-by-step explanation:
HOPE THIS HELPS :)
PLEASE HELP!
A park charges $16 for one round of miniature golf and a reduced fee for each additional round played. If Tom paid $51 for 6 rounds of miniature golf, what is the reduced fee for each additional round played?
Ayuda por favor, no entiendo
noah does half as many push-ups as joseph. joshua does 3 times as many push-ups as joseph. they complete 324 altogether. How many push-ups does joshua complete?
Answer:
112
Step-by-step explanation:
Sarah work as a receptionist in a busy dental office she made $350.15 after 23.5 hours of work how much was Sarah paid per hour
Answer: $14.9/hr
Step-by-step explanation: you divide $350.15 by 23.5hr to get how much she makes an hour
What is -2×-4 in mathematics
Answer:
8
Step-by-step explanation:
negative times a negative equals a positive