Answer:
the sidewalk speed q = 3km/hr
the tortoise speed p is 1.5 km/hr
Step-by-step explanation:
From the given information:
let the speed of the tortoise be p & the speed of the sidewalk be q
she's been running for 40 minutes (40/60 = 2/3) and that she's travelled 3 kilometres
Thus,
p + q = [tex]\dfrac{3}{\dfrac{2}{3}}[/tex]
p + q = 9/2
p + q = 4.5 ----- (1)
when returning, she travelled 3km in 2 hours
i.e. -p + q = 3/2
-p + q = 1.5 ----- (2)
Thus, by using the elimination method for equation (1) and (2)
p + q = 4.5 ----- (1)
-p + q = 1.5 ----- (2)
2q = 6
q = 6/2
q = 3 km/hr
From equation (1)
p + q = 4.5
p + 3 = 4.5
p = 4.5 - 3
p = 1.5 km/hr
Therefore, the sidewalk speed q = 3km/hr and the tortoise speed p is 1.5 km/hr
03.02) If g(x) = x2 + 2, find g(3). (2 points) 9 8 11 6 4. (03.02) If g(x) = 2(x − 4), find the value of x if g(x) = 20. (2 points) 32 12 14 10 5. (03.02) Michelle rents a movie for a flat fee of $1.50 plus an additional $1.25 for each night she keeps the movie. Choose the cost function that represents this scenario if x equals the number of nights Michelle has the movie. (2 points) c(x) = 1.50 + 1.25x c(x) = 1.50x + 1.25 c(x) = 2.75 c(x) = (1.50 + 1.25)x 6. (03.02) Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s. Which statement best describes the meaning of f(150)? (2 points) This is the average number of days the house stayed on the market before being sold for $150,000. The house sold on the market for $150,000 and stayed on the market for an average of 150 days before being sold. The house sold for $150,000. The house stayed on the market for an average of 150 days before being sold.
Answer:
slipknot is the answer to all your problems
Step-by-step explanation:
there is no explanation
Which of the following is an example of the atmosphere interacting with the biosphere?
I’d say option 4
However, one may think option 3 might be possible as well. But that it is not interacting, it’s affecting.
So I’d stick with option 4.
Good luck!
Write the number in scientific notation. 10700000
Answer: [tex]107^{5}[/tex]
There are 5 zeros left of the seven (7).
So, 5 is the exponent/base number.
Add a 5 as a base/exponent.
107[tex]5[/tex] should now be the answer.
Hope this answer helps you!
Answer:
1.07 × 10^7
Step-by-step explanation:
Hope This Helps!
The quadratic function that approximates the height of a javelin throw is h(t) = -0.08t2 +4.48, where t is the time in seconds after it is thrown and h is the javelin's height in feet. How long will it take for the javelin to hit the ground?
Show me how I do it please
Answer:
y=7x-5
Step-by-step explanation:
y=mx+b
2=(7)(1)+b
2=7+b
2-7=b
-5=b
Solve the equation 5x+9=4.
Answer: x=−1
Step-by-step explanation: hope this helps!
A youth group is selling snacks to raise money to attend their convention. Amy sold 2 pounds of candy, 3 boxes of cookies and 1 can of popcorn for a total sale of $65. Brian sold 4 pounds of candy, 6 boxes of cookies and 3 cans of popcorn for a total sale of $140. Paulina sold 8 pounds of candy, 8 boxes of cookies and 5 cans of popcorn for a total sales of $250. What is the cost of each item
Answer:
The cost of a can of popcorn is $10.
The cost of a box of cookies is $5.
The cost of a can of popcorn is $20
Step-by-step explanation:
First you must propose a system of equations, a set of two or more equations with several unknowns in which you want to find the value of each unknown so that all the equations of the system are fulfilled.
Defining the variables:
x: cost of one pound of candyy: cost of a box of cookiesz: cost of a can of popcornAmy sold 2 pounds of candy, 3 boxes of cookies and 1 can of popcorn for a total sale of $65. Then:
2*x + 3*y + 1*z=65 Equation 1
Brian sold 4 pounds of candy, 6 boxes of cookies and 3 cans of popcorn for a total sale of $140. So:
4*x + 6*y + 3*z=140 Equation 2
Paulina sold 8 pounds of candy, 8 boxes of cookies and 5 cans of popcorn for a total sales of $250. Then:
8*x + 8*y + 5*z=250 Equation 3
Then the system of equations is formed by these three equations.
A method to solve a system of equations is by means of the substitution method, which consists of isolating one of the two unknowns in an equation to substitute it in the other equation.
Isolating z from Equation 1:
[tex]z=65-2*x-3*y[/tex] Equation 4
Replacing in Equation 2:
4*x + 6*y + 3*(65 -2*x-3*y)=140
4*x + 6*y + 195 - 6*x - 9*y= 140
-2*x - 3*y=140-195
-2*x - 3*y=-55
2*x + 3*y= 55
and isolating x:
[tex]x=\frac{55-3*y}{2}[/tex] Equation 5
Replacing in Equation 4:
[tex]z=65-2*\frac{55-3*y}{2} -3*y[/tex]
z=65 - (55-3*y) - 3*y
z= 65 -55 + 3*y - 3*y
z= 10
So the cost of a can of popcorn is $10.
Replacing equation 5 and the value of z in equation 3:
8*[tex]\frac{55-3*y}{2}[/tex] + 8*y + 5*10=250
[tex]\frac{8}{2}[/tex]*(55 -3*y)+ 8*y + 5*10=250
4*(55 -3*y)+ 8*y + 5*10=250
4*55 - 4*3*y + 8*y + 50=250
220 - 12*y + 8*y + 50=250
-12*y + 8*y= 250 -220 - 50
-4*y= -20
[tex]y=\frac{-20}{-4}[/tex]
y= 5
So the cost of a box of cookies is $5.
Finally replacing the value of y in Equation 5 you get the value of x:
[tex]x=\frac{55-3*5}{2}[/tex]
[tex]x=\frac{55-15}{2}[/tex]
[tex]x=\frac{40}{2}[/tex]
x=20
Finally, the cost of a can of popcorn is $20
Alex wrote checks on Tuesday for $35 and $40. He also made a deposit in his checking account of $170. Find the overall change in the amount in his checking account.
Answer: He retrieved 75$ from his account then he put back 170$ so +75 and -170 so in total the answer would be 245$
Answer: He would have $100 in his bank account from the information provided .
Consider the rule y = 5x + 7.
a. How many tiles are in Figure 0?
b. Which figure has 37 tiles?
c. In the equation y = mx + b, what do the letters m and b represent?
Answer:
see below
Step-by-step explanation:
Consider the rule y = 5x + 7.
a. How many tiles are in Figure 0?
In figure 0, we let x=0
y = 5*0+7 = 0+7 = 7
b. Which figure has 37 tiles?
This means y = 37
37 = 5x+7
Subtract 7 from each side
37-7 = 5x+7-7
30 = 5x
Divide by 5
30/5 = 5x/5
6 =x
Figure 6 has 37 tiles
c. In the equation y = mx + b, what do the letters m and b represent?
m is the slope or how much it is increasing each time x increases by 1 and b is how much we start with when x =0
ice cream store marks up price by 16% how much of original price was 1.25
Answer:
0.128
Step-by-step explanation:
My Brainly Ads Aren't Working, When I Press Watch Ad It's Taking Forever Long To Load And I Really Do Need These Answers Is There Anyway I Can Fix This?
Answer:
Try reloading, or turning off ur phone. it worked for me...
Step-by-step explanation:
Answer:
mine aren't either and I also really need answers pls help
Step-by-step explanation:
Solve the system of equations below. 3/+4,/9-12 = 17 2v1 +3,11+52 = 18 -V5-VT-12 = -6
Answer: -6 You answered your own question-
What is the range of the function f(x) = 1/2 x- 2 when the domain is { 2,4,6}
Answer:
The range of f(x) is:
[tex]y\in\{-1,0,1\}[/tex]
Step-by-step explanation:
Domain and Range
Given a function y=f(x), the domain of f(x) is the set of values that x can take and the range of f(x) is the set of values that f gets when x is in the domain.
We have the function:
[tex]\displaystyle f(x) = \frac{1}{2} x-2[/tex]
And the domain is
[tex]x\in\{2,4,6\}[/tex]
Compute the range by assigning each value of x:
For x=2:
[tex]\displaystyle f(2) = \frac{1}{2} \cdot 2-2=1-2=-1[/tex]
[tex]\displaystyle f(2) = -1[/tex]
For x=4:
[tex]\displaystyle f(4) = \frac{1}{2} \cdot 4-2=2-2=0[/tex]
[tex]\displaystyle f(4) = 0[/tex]
For x=6:
[tex]\displaystyle f(6) = \frac{1}{2} \cdot 6-2=3-2=1[/tex]
[tex]\displaystyle f(6) = 1[/tex]
The range of f(x) is:
[tex]y\in\{-1,0,1\}[/tex]
Which of the following ordered pairs are y-intercepts? Check all that apply
(4,0)
(-1, 1)
(0,0)
(0,-7)
(-2,-2)
(0,-0.25)
A y-intercept is the value at which x = 0.
(4,0) is not a y-intercept because x = 4.
(-1, 1) is not a y-intercept because x = -1.
(0,0) is a y-intercept because x = 0.
(0, -7) is a y-intercept because x = 0.
(-2, 2) is not a y-intercept because x = -2.
(0, -0.25 is a y-intercept because x = 0.
Answer:
here's the answer
Step-by-step explanation:
On a map of Texas, one inch represents 75 miles. The distance between
San Antonio and Houston is 2.7 inches on the map. What is the distance
from San Antonio to Houston according to the map?
A 175 miles
B. 202.5 miles
C. 225.5 miles
D. 270 miles
Answer: B. 202.5 miles
Step-by-step explanation:
Multiply the scale ratio by the number of inches given on the map.
2.7 × 1 inch and 2.7 × 75 miles 2.7×75=202.5
2.7 inches represents 202.5 miles
determine which postulate or theorem can be used to prove that
Answer:
ASA
Step-by-step explanation:
Nedd help for this one
Answer:
20, -7, -14, 10, -5, 8
20 + 10 + 8 + (-5) + (-7) + (-14) - organize all values (makes it easier to add)
38 + (-26) - add like terms
12
12/6 -divide sum by number of values
2 - answer
hopes this helps
Step-by-step explanation:
(6x + 9) - (4x + 6) I need help
6x+9-4x-6
2x+3
assuming you simplify, hope this helps!
..................................................................
Answer:
<3
Step-by-step explanation:
I really need your help please help
Answer:
A and D
Step-by-step explanation:
If you simplify for A it is 8x +8
If you simplify for D it is 8x+8
Answer:
A & D
Step-by-step explanation:
Simplify all of them and then see which one has the same answer and those two are the answers
1. How much carpeting is needed in a room that measures 11 feet by 12 feet?
132 feet²
For this question, you have to find area.
Area is length x width
so multiply 11 x 12
You will get 132 feet²
Becky created a number pattern. Her pattern began with 5, and the rule was “add 5.” Dion also created a number pattern. His pattern began with 10, and the rule was “add 10.”
Which statement is true?
a. Each term in Becky’s pattern is 5 more than the corresponding term in Dion’s pattern.
b. Each term in Dion’s pattern is 5 more than the corresponding term in Becky’s pattern.
c .Each term in Becky’s pattern is 2 times as many as the corresponding term in Dion’s pattern.
d .Each term in Dion’s pattern is 2 times as many as the corresponding term in Becky’s pattern.
Answer:
D
Step-by-step explanation:
Identify the domain and range of the function below.
Domain
Range
Answer:sry
Step-by-step explanation:
who ever gets it right first gets brainlyest plz help!
Answer:
It is between 9 and 10
Step-by-step explanation:
Answer:
helping other guy get brainleyest
Step-by-step explanation:
The distance from Mason's house to Kevin's house is about 5 × 105 inches. The distance from Mason's house to Chloe's house is about 8 × 107 inches. The distance from Mason's house to Chloe's house is how many times as great as the distance from Mason's to Kevin's house?
Answer:
Distance from Mason's house to Chloe's house is 160 as great as the distance from Mason's to Kevin's house.
Step-by-step explanation:
Let the distance from Mason's house to Chloe's house is x times as great as the distance from Mason's to Kevin's house.
Distance from Mason's house to Kevin's house= [tex]5 \times 10^5[/tex] inches.
Distance from Mason's house to Chloe's house =[tex]8 \times 10^7[/tex] inches
ATQ
[tex]8 \times 10^7= x \times 5 \times 10^5 \\\frac{8 \times 10^7}{5 \times 10^5}=x\\160=x[/tex]
So, distance from Mason's house to Chloe's house is 160 times as great as the distance from Mason's to Kevin's house.
Hence distance from Mason's house to Chloe's house is 160 as great as the distance from Mason's to Kevin's house.
Angles R and S are complementary. The measure of angle R equals 35 degrees.
What is the measure of angle S ?
Answer:
55 degrees
Step-by-step explanation:
I hope this helps, all you need to do is subtract 90 from 35 and your answer is S in which 55 degrees.
Answer: 55°
Step-by-step explanation:
complementary means the angles make up an angle of 90°, therefore to find the missing angle you do, 90-35 which equals 55
y - 6 = 4(1 – 4)
W
Which of the following shows a graph of the equation above?
rr
+ Y
8
6
2
-2
1:
X
-E
2
6
8 x
-2
Fo
W.
X.
V
Y
x
Y
z.
y-6 =4 (1-4)
y-6=-12
y=-6
Answer:y= -6
Which of following have a value equal too |-28|?
Answer:
Step-by-step explanation:
2nd one, 3rd one, and 5th one
Answer:
28
Step-by-step explanation:
What value of x will make the triangles similar by the SSS similarity theorem?
x =
Answer: 28 is correct!!
Step-by-step explanation:
Answer:
The answer is x=28.
Step-by-step explanation:
I hope this helps.
What is the slope of the line? (SOMEONE PLEASE HELP
Answer:
3/4
Step-by-step explanation:
Can Yu Mark Brainliest Plz