1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
trasher [3.6K]
3 years ago
8

5) Alex's house (point F) lies on the same street as her school (point H). Alex's bus stop (point G) lies between her

Mathematics
1 answer:
vlada-n [284]3 years ago
7 0

Answer:

100 meters

Step-by-step explanation:

Given the following :

Alex house = F

Alex school = H

Alex bus stop = G

FG = 2x meters

GH = 1000meters

FH = 1200 meters

Hence,

FH = FG + GH

1200 = (2x + 1000) meters

1200 = 2x + 1000

1200 - 1000 = 2x

200 = 2x

x = 100meters

Hence, x = 100 meters

You might be interested in
The profits in hundreds of dollars, P(c), that a company can make from a product is modeled by a function of the price, c, they
Jobisdone [24]
The maximum profit is the y-coordinate of the vertex of the parabola represented by the equation.

P(c)=-20c^2+320c+5120 \\ \\
a=-20 \\
b=320 \\ \\
\hbox{the vertex } (h,k): \\
h=\frac{-b}{2a}=\frac{-320}{2 \times (-20)}=\frac{-320}{-40}=8 \\
k=f(h)=f(8)=-20 \times 8^2+320 \times 8+5120= \\
=-1280+2560+5120=6400

The maximum value is 6400, but the profit is given in hundreds of dollars, so multiply the value by 100.

The maximum profit the company can make is $640,000.
4 0
3 years ago
Read 2 more answers
33+34+35+36+...+104 what is the sum of the sequence?
Ray Of Light [21]
This is an arithmetic series, so we know, that:

Sum = (First term + Last term) * Number of terms /2

Here we have:

First term = 33
Last term = 104
Number of terms = 104 - 33 + 1 = 72

and

S=(33+104)\cdot\dfrac{72}{2}=137\cdot36=\boxed{4932}
6 0
3 years ago
The cost C of manning household is partly constant and partly varies as the number of people, the cost is 70,000 and for 10 peop
elena-s [515]

Answer:

4.196.754

Step-by-step explanation:

god bless stay safe po

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=-5%2B78%2B%28-32%29" id="TexFormula1" title="-5+78+(-32)" alt="-5+78+(-32)" align="absmiddle"
AysviL [449]
Adding a negative is same as subtraction
-5+78-32
73-32
41
5 0
3 years ago
Read 2 more answers
What is the ratio 15 inches to 6 feet as a fraction in simplest form?
Natalka [10]

Answer: 5/2

Step-by-step explanation: Both 15 and 6 can be divided by 3, which turns 15 into 5 and 6 into 2, giving you 5/2

5 0
3 years ago
Other questions:
  • Okay here we go again <br><br><br>number 8 does not have to be done ​
    9·1 answer
  • More points!! Please solve 22 and 23
    15·1 answer
  • The book shelly is reading has 235pages. She has already read 110 pages. If she reads 25 pages a day from now on, how many more
    15·2 answers
  • Can function notations be simplified?
    11·1 answer
  • 15miles/1 hours = ?ft/1 hours
    14·1 answer
  • 30, 45, 40, 37, 37, 40, 42, 38, 37, 42, 43, 38 Make a line plot of the data set. Find the median of the data set.
    14·1 answer
  • PLZZZ HELP!
    9·1 answer
  • 3) The perimeter of a triangle is 28x-7. 2 of the sides are 5X-3 and 12x+8. What is the third
    11·1 answer
  • Solve this system of equations by graphing. First graph the equations, and then type the solution.
    13·1 answer
  • Solve the system of linear equations using any method you choose:<br> -6x + 3y = 18<br> 10x - y = 4
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!