Answer:
Justin's average speed to his parents' house: x= 40mph
Justin's average speed from his parents' house: x+20=60 mph
Step-by-step explanation:
Let the average speed be x +20
Then average speed from his parents' x
And the distance is S=96
Then we know :
[tex]\displaystyle \frac{S}{x+20} +\frac{S}{x} =4 \\\\\\ \frac{96}{x+20} +\frac{96}{x}=4 \ |\div 4 \\\\\\ 24\bigg(\frac{1}{x+20} +\frac{1}{x} \bigg) =1 \\\\\\ 24\cdot \frac{x+x+20}{(x+20)x} =1 \ |\cdot (x+20)x \ \ \\\\\\48x+480=x^2+20x \\\\ x^2-28x-480=0 \\\\ \rm D=28^2+4\cdot 480=2704 =52^2 \\\\ \boxed{x_1=\frac{28+52}{2} =40} \\\\x_2=\frac{28-52}{2} =-12 \ \ \varnothing[/tex]
Justin's average speed to his parents' house: x= 40mph
Justin's average speed from his parents' house: x+20=60 mph
(01.02 MC)The number line shows the distance in meters of two jellyfish, A and B, from a predator located at point X:
Write an expression using subtraction to find the distance between the two jellyfish. (5 points)
Show your work and solve for the distance using additive inverses. (5 points)
hello again!
you can calculate the distance between A and B by subtracting
distance = B-A=0.5m-(-1.5)m=2m
or security reasons, a company will enclose a rectangular area of 11,200 m2 in the rear of its plant. One side will be bounded by the building and the other three sides by fencing. If the bounding side of the building is 150 m long and 300 m of fencing will be used, what will be the dimensions of the rectangular area?
The dimensions of the rectangle are 150 m and 75 m respectively.
Let x be the length of the rectangular area and y be the width of the rectangular area.
Its area A = xy
Given that its area is 11,000 m², xy = 11000 m² (1)
Also, since the bounding side of the building is 150 m long and the fencing is 300 m, the perimeter of the rectangular area is P = 150 m + 300 m = 450 m.
Also, the perimeter of the rectangular area is P = 2(x + y)
Since P = 450 m
2(x + y) = 450 m
x + y = 225 m (2)
Since the bounding side of the building represents one dimension of the rectangle, x = 150 m.
Substituting x into (2), we get the other dimension
x + y = 225
150 + y = 225
y = 225 m - 150 m
y = 75 m
So, the dimensions of the rectangle are 150 m and 75 m respectively.
Learn more about dimensions of a rectangular area here:
https://brainly.com/question/16818606
Does anyone remember how to do domain and range?
Answer:
Ummm no not really
Step-by-step explanation:
Answer:
Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
Which is the smallest integer that makes the inequality 2x + 3 > 5 true?
0 is the correct answer;
2*0=0, and 0+3=3.
However if we plug in 1 it does not work you see; 2+1=2, and 2+3 = 5.
It has to be > not =
2
Step-by-step explanation:
because if you subtitute 2 for x you would get
2(2) +3>5
4+3=7
7>5
which makes the inequality true
A student in a foreign language program learns 15 new words each week. Which graph best represents the relationship between x, the number of weeks the student has been in the program and y, the total number of new words the student has learned
Linear equations are represented by straight line.
The required graph is graph (a).
The given parameters are:
[tex]\mathbf{Rate =15}[/tex]
Let x represents the number of weeks, and y represents the number of words in week x.
So, we have:
[tex]\mathbf{y = Rate \times x}[/tex]
Substitute 15 for Rate
[tex]\mathbf{y = 15\times x}[/tex]
[tex]\mathbf{y = 15x}[/tex]
The above equation means that:
[tex]\mathbf{(x,y) = (0,0)(1,15),(2,30)....}[/tex]
The graph that represents the above ordered pair is graph (a).
Read more about graphs at:
https://brainly.com/question/20853486
Answer:
im lost
Step-by-step explanation:
;;..
A city has a population of 280,000 people. Suppose that each year the population grows by 4.75% . What will the population be after 7 years ? Use the calculator provided and round your answer to the nearest whole number.
1. given w(x)=4x
a. graph r(x)=4 x w(x). then complete the table of corresponding points on r (x). How do you graph this?
Answer:
Step-by-step explanation:
a). When graph w(x) is transformed to r(x) = 4 × w(x), graph of w(x) is vertically stretched by a scale factor of 4.
Table for the corresponding points will be,
x w(x) r(x)
0 0 0×4 = 0
15 60 60×4 = 240
30 120 120×4 = 480
45 180 180×4 = 720
b). As discussed in part (a), graph of w(x) will be vertically stretched by a scale factor of 4 to produce the graph of r(x).
c). Since, w(x) = 4x
and r(x) = 4[w(x)]
r(x) = 4(4x) = 16x
r(x) = 16x
Lesson Check (5.NBT.B.7)
1. What multiplication sentence does the model
represent?
Modeling the box representation Mathematically can be done using the multiplication sentence 0.06 × 4 = 0.24
The entire box has 100 holes ;
Each shading takes up 6 boxes which is 6/100 of the entire box ; Area per shading :
6/100 = 0.06The number 6 set shading represented on the box = 4
The multiplication model :
Area per shading × number of shaded set0.06 × 4 = 0.24
Therefore, the multiplication sentence which represents the model is 0.06 × 4 = 0.24
Learn more : https://brainly.com/question/25310757
Plsssss Help i have no idea how to do this
Answer:
500
Step-by-step explanation:
Balto” is a 6 year old 35 kg intact husky mix. He presents through the ER after likely being HBC (hit by car) with anisocoria and nystagmus, both signs of head trauma. The doctor instructs you to give 1 g/kg mannitol IV to decrease intracranial pressure. Mannitol is a 20 % solution. How many grams will “Balto” receive? How many mgs? How many mls?
If we give 1 g/kg of mannitol, it then follows that Balto needs to receive 35g of mannitol.
What is percent concentration?Percent is one of the ways of expression the concentration of a solute in a solvent. In this case, the concentration of the mannitol is 20%. This implies that there are 20 g of mannitol in 100 g of solution.
Thus, If we give 1 g/kg of mannitol, it then follows that Balto needs to receive 35g of mannitol.
Learn more about percent concentration:https://brainly.com/question/202460
#SPJ1
I don't understand this!!!
Answer:
6 more times
Step-by-step explanation:
trust :)
Brianna works for a large fast food chain recording and publishing training videos for employees. Which job title would Brianna MOST likely have?
Answer:
Multimedia Specialist
Step-by-step explanation:
Had a question like this before
Hello, please be honest, is this correct?
Answer:
Yes that is correct you got keep up good work
6. Which of the following is the improper fraction for the mixed fraction 2 5/3
Answer:
[tex]\frac{11}{3}[/tex]
Step-by-step explanation:
Multiply the denominator by the whole number, then add the numerator.
3 × 2 + 5 = 11
Keep the denominator.
[tex]\frac{11}{3}[/tex]
Answer:
11/3
Step-by-step explanation:
1. To change a mixed number into an improper fraction, multiply the whole number with the denominator of the mixed number. Then, add the numerator of the fraction to the product to get the numerator of the improper fraction. Remember to keep the denominator the same.
2. Given the information above:
[tex]3 * 2 = 6[/tex] [tex]6 + 5 = 11[/tex] 11 = numerator, denominator = 3improper fraction: 11/3Therefore, the answer is 11/3.
Y=6x+13 x-intercept and y-intercept
Answer:
y int (0, 13)
x int (-13/6,0)
just make the x = 0 and solve to get y
same with the x make y =0 and solve
Write True or False for each statement.
(a) A square is a special rectangle.
true or false?
(b) The diagonals of a rhombus are equal in length.
true or false?
(c) A kite has both pairs of opposite angles equal.
true or false?
Answer:
A) true
B) true
C) true
hope that helps :)
convert 35cm to metres
Answer:
35cm is 0.35 metres.
Hope this helps!
Aria's height is 3 inches less than her brother's height. Her brother's height is unknown.
Which expression shows Aria's height? Use x for her brother's height.
Aria's height is 3 inches less than her brother's height. Her brother's height is unknown.
Which expression shows Aria's height? Use x for her brother's height.
A.x/3
B.3x
C.x + 3
D.x – 3
What is the correct estimate for this sum?
The answer is the second one
A? B? C? D?..................................................
Answer:
A.
Step-by-step explanation:
yan na yannnnnnnnnnnnnnnn
Helppppppppppppppppppppppppppppppppppp
Answer:
The answer would be 7 I hope this helps! : )
Answer:
it's 2
Step-by-step explanation:
if we solve 3×2×1/3
then we will get 2 .
5x+ 6-21=9+3x .Solve for x.
Answer:
x= -3
Step-by-step explanation:
Answer:
x=12
Step-by-step explanation:
pls give brainliest hope helpful
Write an equation in slope intercept form that goes through the point (5,-7) and is PARALLEL to the line y=-3x+8
Answer:
there is no line parallel to y = -3x + 8 that goes through (5, -7). this point falls on this line
Step-by-step explanation:
[tex]y = - 3x + 8[/tex]
[tex] - 7 = - 3(5) + b \\ - 7 = - 15 + b \\ b = 8[/tex]
The answer is
[tex]y = - 3x + 8[/tex]
please help me if you can. Sorry if it’s blurry
Step-by-step explanation:
oh, come on, just multiplication.
7.5×10⁴ years is 7.5×10000 =75000 years.
0.005 inches per year for 75000 years means
0.005 × 75000 = 5 × 75 = 375 inches.
Help with Algebra 2, forgot how to do it
Answer:
[tex]f(x) = 3 \: \: \: \: for \: \: \: \: - 6 < x < 1 \\ f(x) = - x \: \: \: \: for \: \: \: \: 1 < x < 6[/tex]
If 2+√3/2-√3= a+b√3 Find a and b
Answer:
a = 7, b = 4Step-by-step explanation:
Simplify the left side:
(2 + √3)/(2 - √3) = (2 + √3)(2 + √3)/(2 + √3)(2 - √3) =(4 + 4√3 + 3)/(4 - 3) =7 + 4√3Compare with the right side:
a = 7, b = 4Claire's suitcase weighs 15 pounds less than her older sisters.
Together the suitcases weigh 109 pounds. How many pounds does
Claire's older sister's suitcase weigh?
bro i read it wrong that's my bad hold on ill get the right one rq
Given f(x) = 2x - 3, find f(8)
***EXPLANATION NEEDED***
Answer:
f(8) = 13
Step-by-step explanation:
Step 1: Plug in 8 for the value of x.
[tex]f(8) = 2(8) - 3[/tex]Step 2: Multiply 2 by 8.
[tex]f(8) = 16 - 3[/tex]Step 3: Subtract 3 from 16.
[tex]f(8) = 13[/tex]Therefore, f(8) = 13.
Answer:
Step-by-step explanation:
Hi there!
Given;
f(x) = 2x - 3
To find: f(8)
Replace 8 in each place where there is "x" in f(x).
or, f(8) = 2*8 -3
= 16-3
= 13
Therefore, f(8) = 13.
Hope it helps!
Zahin has 4/6
kg of rice. She divides it into 5 equal portions to cook for dinner. How much rice, in kilograms, does she use to cook one portion for dinner?
fraction word problem
Answer:
2/15 or 0.13
Step-by-step explanation:
first you multiply 2/3 and 1/5 which gets you 2/15
If measure angle 4 is equal to 35 degrees, find the measure angle 2 and measure angle 3.
Answer:
< 2 = 35 degrees and
<3 = 55 degrees
Step-by-step explanation:
<3 = 90-35
= 55 degrees
<1 = 90 degrees
<2 = 180 - 90 - 55
= 35 degrees