ite Plane - Part 1
1. Josh is traveling from South Carolina to California for summer vacation. The states se
Carolina to Texas is represented by 12x
- 106. The distance from Texas to California is
approximately 2500 miles apart, so he makes a pitstop in Texas. The distance from south
represented by (5x + 685).
5x + 685
12x = 106
Is Josh's pitstop in Texas the midpoint between South Carolina and California? Justify your
answer.
Answers
Answer:
Josh's parent's house in Texas is the midpoint between South Carolina and California.
Step-by-step explanation
Let distance from South Carolina to California = D
D = 2,500 miles
Let distance from South Carolina to Josh's parent's house in Texas = D1
D1 = 12x - 106
Let distance from Josh's parent's house in Texas to California = D2
D2 = 5x + 685
Solve if Josh's parent's house in Texas is the midpoint between South Carolina and California
D1 = D2 = D/2
D/2 = 2,500 miles / 2
= 1,250 miles
D1 = D2 = 1,250 miles
D1 + D2 = D
Substituting D1 = 12x-106 and
D2 = 5x+685 and
D = 2,500
D1 + D2 = D
(12x-106) + (5x+685) = 2,500
Open parenthesis
12x - 106 + 5x + 685 = 2,500
Collecting like terms
12x + 5x = 2,500 - 685 + 106
17x = 1,921
Divide both sides by 17
x = 1,921 / 17
= 113
x = 113
Substitute x into D1 and D2
D1 = 12x - 106
D1 =12(113) - 106
= 1,356 - 106
D1 = 1,250
D2 = 5x + 685
D2 = 5(113) + 685
= 565 + 685
D2 = 1,250
Therefore, Josh's parent's house in Texas is the midpoint between South Carolina and California
Related Questions
Find the slope of the line.
Answers
Answer:
The answer is -2
Step-by-step explanation:
It goes down 2 and the line is to the left, meaning its negative :)
what is coefficient of the term 16x
Answers
Answer:
16
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
We are given the term:
16x
We want to find the coefficient.
A coefficient is a constant that a variable is multiplied by. Essentially, it is the number in front of the variable.
The variable in the term is x. The number that precedes the variable is 16. Therefore, the coefficient of the term must be 16.
If the value of 2x is 2, then what is the value of x?
12 ?
Answers
Answer:
1
Step-by-step explanation:
Answer:
x=1
Step-by-step explanation:
work backwards.
2x=2
divide the constant by the product
2/2=1
so x=1
A runner is traveling at a constant rate of 8 meters per second. How long does it take for the runner to travel 100 meters?
Answers
Answer:
Total time taken = 12.5 second
Step-by-step explanation:
Given:
Speed of runner = 8 m/s
Total distance cover = 100 m
Find:
Total time taken
Computation:
Time taken = Distance / Speed
Total time taken = 100 / 8
Total time taken = 12.5 second
Round 2.93 to the nearest whole number.
Answer anyone ?
Answers
Answer:
3
Step-by-step explanation:
2.9 is closest to 3
Answer:
3
Step-by-step explanation:
2.93 rounded to the nearest whole number is 3.
Any values between 2.0 and 2.5 get rounded to 2, while any values between 2.5 (incl. 2.5) to 3.0 get rounded to 3.
Examples:
2.93 -> 3
2.73 -> 3
2.5 -> 3
2.49 -> 2
2.35 -> 2
2.1 -> 2
the coefficients of the expression.
−30 + 2p − 9z
-30,2
2,9
-30,2,-9
2,-9
Answers
-30, 2, -9
Explanation:
Coefficients are the constant quantity placed before and multiplying the variable in an algebraic expression.
(Including whether its a positive or negative)
Find the perimeter of this triangle.
Answers
Answer:
15.67 unitsStep-by-step explanation:
Points on the graph:
(3,6), (7,3) and (10,5)Perimeter is the sum of side lengths
Side length is the distance between points
Distance is found by the distance formula:
d = [tex]\sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]Sides:
1. [tex]\sqrt{(7-3)^2 + (3-6)^2}= \sqrt{16+9} = 5[/tex]2. [tex]\sqrt{(10-3)^2 + (5-6)^2} = \sqrt{49 + 1} = \sqrt{50}[/tex] = 7.073. [tex]\sqrt{(10-7)^2 + (5-3)^2} =\sqrt{9 + 4} =\sqrt{13}[/tex] = 3.60Perimeter:
P = 5 + 7.07 + 3.6 = 15.67I need to know the answer
Answers
Determine whether the pair of lines appear to be parallel or perpendicular.
.. There’s just two lines like this \\
Answers
Answer:
option c
Step-by-step explanation:
If 2 lines are like this " \\ " , then they are separated from each other with same distance & will never ever intersect
Which of the following would not have a positive exponent when written in scientific notation HELP PLEASE!!!!
A.5600,000
B.0.0023
C.23
D.560
SOMEONE HELP!!
Answers
It costs $15 to send 3 packages through a certain shipping company. Consider the number of packages per dollar
Answers
It Is Going To Be 5 Because 15÷3=5 And 15÷5=3 And 5×3=15 3×5=15
The figure is transformed as shown in the diagram. Describe the transformation.
A) reflection, then rotation
B) rotation, then reflection
C) reflection, then dilation
D) translation, then dilation
Answers
Answer:
B) Rotation, then Reflection
Write an equation models the following statement:
17 less than h equals 42
Answers
Answer:
17 < h = 42
Step-by-step explanation:
Hoped this helped! :)
we cannot have a negative number for x (its against the laws of math), so the domain would be all non-negative numbers
Answer:
h - 17 = 42
Step-by-step explanation:
I know this because it was the answer on quizziz
Lupe put $12,000 in a certificate of deposit that gained interest at a rate of 6.5%. How much interest did the account gain after 3 months?
Answers
Answer:
$195
Step-by-step explanation:
We use the simple interest formula.
I = Prt
I = Interest
P = Principal (initial value)
r = Interest rate
t = Time (years)
P = $12,000
r = 6.5% which we convert to a decimal by dividing by 100 6.5/100 = .065
t = 3 months which we convert to years by dividing by 12 3/12 = 1/4 = .25
Plug in the values
I = 12000 * .065 * .25
I = $195 interest gained
Answer:
195
Step-by-step explanation:
3 month is .25 years
6.5/100 = .065
12000 x .065 x .25 = 195
round 24,732 to the
nearest thousand.
Answers
Answer:
25,000
Step-by-step explanation:
7 is greater than 5 so we need to round UP
Adam and Barb planned a used book sale for the weekend so they gathered their books and agreed on a price for hardbacks and a lower price for paperbacks. Adam sold 14 hardcover books and 20 paperbacks and earned $234 for his efforts. Barb sold 15 hardcover books and 9 paperbacks. Barb made $201. How much did they charge for each hardcover book and for each paperback?
You must show your work.
1) Mathematically what kind of problem is this called? (What concept did you apply to this problem that allowed you to solve it?)
2) Set up the problem showing the equations you’ll use. Please make sure you label or explain what your variables mean.
3) Show the math work to arrive at the answer. Please make it clear which price is hardcover and which is paperback.
Answers
Answer: hardcover books x=11 and paperbacks y=4
Step-by-step explanation:
14x+20y=234
15x+9y=201
Multiply the top equation by 9 and the bottom equation by 20 so the outcome of both equations would be 126x+180y=2106 and 300x+180y=4020 then you subtract the two equations once you do that you get 174x=1914, and the y variable cancels out, once you divide 174 from 1914 you get 11x. So the answer for how much hardcover books cost is 11 dollars. Now we have to find the y variable which we can just plug in 11 (x) into the equation. So 15(11)+9y=201 we get 165+9y=201, subtract 165 from both sides and we get 9y=36 and divide 9 from both sides and we get 4 so y=4 the cost of paperbacks are 4 dollars
why is h²=p²+b²plz somebody help me
Answers
Answer:
This formula is related to Pythagorus theorem which states that in a right angled triangle square of hypotenuse is equal to sum of the squares of other two sides.
In other words, C²=B²+A²
in new jersey, the highest elevation is 1 803 feet above sea level and the lowest elevation is -2 below the sea level. what is the deficit in the elevation?
Answers
Answer:
803
Step-by-step explanation:
trust your self
Please someone answer asap
Answers
Answer:
(-inf,6]
Step-by-step explanation:
What is an exact solution for
[tex]m \sqrt{14} [/tex]
Answers
Answer: Choice B) [tex]\sqrt{14}[/tex]
We have some value m and we're squaring it to get [tex]m^2[/tex]
To undo this and isolate m, we apply the square root to both sides
[tex]m^2 = 14\\\\\sqrt{m^2} = \sqrt{14}\\\\|m| = \sqrt{14}\\\\m = \sqrt{14} \text{ or } m = -\sqrt{14}[/tex]
There are two solutions here. This is similar to how there are two solutions in something like [tex]x^2 = 25[/tex] (those two solutions being x = 5 and x = -5). Squaring any negative number leads to a positive result because
negative times negative = positive.
I need help with this
Answers
Answer:
see explanation
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 270°
a point (x, y ) → (y, - x ) , thus
C)- 8, - 4 ) → C'(- 4, 8 )
D(0, - 4 ) → D'(- 4, 0 )
E(- 8, - 9 ) → E'(- 9, 8 )
If x = -2, then 2x = -4.
A. Addition Property of Equality
B. Subtraction Property of Equality
C. Multiplication Property of Equality
D. Division Property of Equality
E. I'm not sure.
Answers
The statement "If x = -2, then 2x = -4" can be demonstrated using the Multiplication Property of Equality.
Option C is the correct answer.
We have,
The Multiplication Property of Equality states that if you multiply both sides of an equation by the same non-zero number, the equality still holds true.
In this case, x = -2.
Multiply both sides of the equation by 2,
2x = 2(-2) = -4
Thus,
The statement "If x = -2, then 2x = -4" can be demonstrated using the Multiplication Property of Equality.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ4
32. John collects postcards. He buys them in
packages of 8. He currently has 96 postcards.
Write an equation to model the size of his
collection after buying x packages.
A) 8x = 96
Cy= 96 + 8
® y=96x + 8 Dy=8x + 96
Answers
total is 96 and he had 8 packages which means you would have to divide
1. Five gallons of lemonade cost $8.00, which is
a rate of _____per____.
Answers
Answer:
1. $1.60
2. gallon
Step-by-step explanation:
Each gallon of lemonade would cost $1.60.
The rate is $1.60 per gallon.
Hope it helps!
Hey there!
[tex]Answer: \boxed{1.60 \text{ per } gallon}[/tex]
[tex]Explanation:[/tex]
If 5 gallons cost 8.00, we will need to divide to find the amount of 1 gallon each.
$[tex]$8.00/5=1.60[/tex]
So that means that each gallon was $1.60. So the answer to your question is:
[tex]\boxed{1.60 \text{ per } gallon}[/tex]
Hope this helps!
[tex]\text{-TestedHyperr}[/tex]
Find the value of √45 × √20
Answers
Answer:
30
Step-by-step explanation:
√45 × √20 = 30
Someone please help me, I don't understand these types of questions.
Answers
Answer:
a = h/5
Step-by-step explanation:
If you had the equation ...
10 = 5a
and you wanted to find the value of the variable, you would divide by its coefficient:
10/5 = (5a)/5
2 = a
__
Here, we have replaced '10' with 'h'. The same (single) step applies: divide by the coefficient of 'a'.
h = 5a
h/5 = a
To put this in "a = " form, swap the sides of the equal sign:
a = h/5
_____
Literal equations just use different symbols (h instead of 10, here). The operations are the same.
pls help me 20 points
Answers
Answer:
Step-by-step explanation:
Its a real number
Answer:
integer
Real Number
Rational
Step-by-step explanation:
What are the answers ?
Answers
Answer:
1:d 2:a 3:a 4:a 5:c 6:a 7:d 8:d 9:a 10:b
Step-by-step explanation:
twelve is greater than or equal to a 5 times a number n
Answers
Answer:
n <= 12/5
Step-by-step explanation:
12 >= 5*n
5*n <= 12
5*n/5 <= 12/5
n <= 12/5
Simplify by using the distributive property:
Answers
4s+20
15. 2(3r-12)
6r-24
18. -3(16-3d)
9d-48
[tex]\huge\boxed{\sf{Hi\:there!}}[/tex]
The Distributive Property states that
a(b+c)=ab+ac
4(s+5)
4s+20
2(3r-12)
6r-24
-3(16-3d)
-48+9d
[tex]\huge\boxed{\bf{Hope\:this\:helps!}}[/tex]
[tex]\Large\bold{Good\:luck!}[/tex]
[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]
