Answer:
A. The equation representing the bicyclist with equal speed, v, meeting after x hours is 75 - v·x = 45 + v·x
B. The bicyclist meet after 1.5 hours
C. They were 60 miles from the parking lot when they meet
Step-by-step explanation:
A. The starting location of the one of the bicyclist = 75-mile marker
The starting location of the other bicyclist = 45-mile marker
The direction of motion of the bicyclist = Towards each other
The time after which the bicyclist meet = x hours
The expression for the distance from the parking lot are
75 - 10x and 45 + 10x
Whereby the bicyclist are have the same speed, v, we have;
The location where they meet is 75 - v×x = 45 + v×x
B. Solving for x, we have;
75 - v×x = 45 + v×x
75 - 45 = v×x + v×x = 2×v×x
30 = 2×v×x
x = 30/(2×v)
Taking the speed of the bicyclist as 10 mph from the equation of their distance from the parking lot, by dimensional analysis, we have;
x = 30/(2×v) = 30/(2×10) = 1.5
x = 1.5 hours
The bicyclist meet after 1.5 hours
C. Their distance from the packing lot is given by substituting the time, x, it took them to meet into the expression for the distance from the parking lot as follows;
75 - 10 × 1.5 = 60 miles
45 + 10 × 1.5 = 60 miles
Therefore, they were 60 miles from the parking lot when they meet.
Answer:
A. The equation representing the bicyclist with equal speed, v, meeting after x hours is 75 - v·x = 45 + v·x
B. The bicyclist meet after 1.5 hours
C. They were 60 miles from the parking lot when they meet
Step-by-step explanation:
A. The starting location of the one of the bicyclist = 75-mile marker
The starting location of the other bicyclist = 45-mile marker
The direction of motion of the bicyclist = Towards each other
The time after which the bicyclist meet = x hours
The expression for the distance from the parking lot are
75 - 10x and 45 + 10x
Whereby the bicyclist are have the same speed, v, we have;
The location where they meet is 75 - v×x = 45 + v×x
B. Solving for x, we have;
75 - v×x = 45 + v×x
75 - 45 = v×x + v×x = 2×v×x
30 = 2×v×x
x = 30/(2×v)
Taking the speed of the bicyclist as 10 mph from the equation of their distance from the parking lot, by dimensional analysis, we have;
x = 30/(2×v) = 30/(2×10) = 1.5
x = 1.5 hours
The bicyclist meet after 1.5 hours
C. Their distance from the packing lot is given by substituting the time, x, it took them to meet into the expression for the distance from the parking lot as follows;
75 - 10 × 1.5 = 60 miles
45 + 10 × 1.5 = 60 miles
Therefore, they were 60 miles from the parking lot when they meet.
Write and solve an equation to find your average speed in an airplane
if you flew 800 miles in 2.5 hours.
Answer:
320 miles per hour
Step-by-step explanation:
Speed=800miles/2.5 hours
320milesperhour
Gwendolyn draws a hotdog on graph paper using the scale shown below. The hotdog has a length of 9
units in the drawing.
Scale:
10 cm
length
A
What is the length, in cm, of the actual hotdog?
cm
The length of the actual hotdog comes to be 15cms.
What is a scale factor?A scale factor is a ratio between corresponding measurements of an object and a representation of that object.
From the diagram
6 units = 10cm
So, 1 unit =10/6 cm
The length of the hotdog shown in the graph = 9 units
So, 9 units = 9*(10/6)
9 units = 15cms
So, the actual length of the hotdog =15cms
Thus, the length of the actual hotdog comes to be 15cms.
to get more about scale factors visit:
https://brainly.com/question/1903243
please can you help
i need it badly
Answer:
8
Step-by-step explanation:
Factors of 32: 1, 2, 4, 8, 16, 32Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72The greatest factor listed in all three is 8. Therefore, 8 is the GCF (greatest common factor) of 32, 48, and 72.I hope this helps!
Answer:
8 would be your answer
What is the Product of Roots of 2x^2+4x+7=0?
Answer:
[tex]\frac{7}{2}[/tex]
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 ( a ≠ 0 ), then
the product of the roots = [tex]\frac{c}{a}[/tex]
2x² + 4x + 7 = 0 ← is in standard form
with a = 2, c = 7 , thus
product of roots = [tex]\frac{7}{2}[/tex]
Answer:
x=[tex]\frac{-2±\sqrt[i]{10} }{2}[/tex]
Step-by-step explanation:
pls ignore the "A" after -2! i hope this helps <3
Min has dozen blueberry muffins and 1 dozen pumpkin muffins. How many more blueberry muffins than pumpkin muffins does Min have? Enter your answer as a fraction in simplest form by filling in the boxes,
Answer:
7/12
Step-by-step explanation
We have both of the values of the dozen of doughnuts 5/6 of a dozen blueberry and 1/4 dozen pumpkin. In order to determine how many more blueberry muffins Min has, we have to set the denominators to be the same number. To do this we need a common denominator. The least common denominator between 6 and 4 is 12. We multiply the top and bottom of the fraction 5/6 by 2 to get 10/12. We then multiply 1/4 by 3 to get 3/12. 10-3 = 7, therefore Min has 7/12 more blueberry muffins
Answer:
7/12
Step-by-step explanation:
because when you subtract you have to find the LCD or LCM and 12 is the common multiple next you have to find equivalent fractions to 5/6 and 1/4 and you get 5/6=10/12, 1/4=3/12. 10/12-3/12 is 7/12
The Fridinger's have a dinner bill of $56.50 and pay an 18% tip. The Anderson's have a dinner bill of $44.20 and pay 24% tip. Which family paid more money for their tip?
22/30 to its lowest term
Answer:
What is 22/30 Simplified? - 11/15 is the simplified fraction for 22/30
what is the largest exponent in a polynomial
degree
The largest exponent in the polynomial is called the degree, and the coefficient of the variable raised to that exponent is called the leading coefficient. The constant in a polynomial has no variable written next to it.
The function f(x)=2x^2-12x+8 is graphed below. Determine the slope of the secant line of it for each of the intervals indicated in the table.
distance between -6.5 and -9.1 show work pls
Answer:
2.6 is the distance
Step-by-step explanation:
9.1 - 6.5 = 2.6
Just tell me why the answer is right ( Will give brainliest)
Answer:
D
Step-by-step explanation:
the answer you chose is correct because if you isolate x (shown below), you end up with -5. there is also no equal sign under the less than symbol, so that means it is an open circle, which it is. however, you must flip the sign when multiplying or dividing by a negative number in inequalities, so this becomes a greater than symbol, showing that x is greater than -5. this accurately portrays the given inequality on the number line.
-5x-6<19
-5x<25
x>-5
Answer:
D
Step-by-step explanation:
and because its right
Blaine recorded the number of
trading cards he has in his
collection.
133 baseball cards
91 hockey cards
64 football cards
What is the best estimate of the
total number of trading cards
Blaine has in his collection?
A. 260 C. 250
B. 310 D. 320
O A
OB
Ос
OD
Answer:
B
Step-by-step explanation:
4x-3=2x+7
Help me pleasee
Answer:
x = 5
Step-by-step explanation:
4x-3=2x+7
Subtract 2x from each side
4x-2x-3=2x-2x+7
2x-3 = 7
Add 3 to each side
2x-3+3 = 7+3
2x = 10
Divide by 2
2x/2 = 10/2
x = 5
how do you write 2/11 as a decimal using long division
Answer:
0.18
Step-by-step explanation: Converting the fraction 2/11 into a decimal is very easy. To get 2/11 converted to decimal, you simply divide 2 by 11.
Answer:
About 0.18
Step-by-step explanation:
Divide 2 by 11
7th GRADE WORK HELPPP!!! ILL BRAINLIST!!!
Answer: Rachel's prediction is faster than the actual unit rate, and Theadore's prediction is slower.
Answer:
I'm pretty positive the answer is B
Step-by-step explanation:
Since it's been 7 1/2 weeks and they thought it would grow atleast 2/5 a foot a week that should mean it's growing faster than anticipated.
Every 2.5 hours, a machine produces 150 baskets. What is the unit rate of this proportional relationship?
Answer:
60 baskets per hour
Step-by-step explanation:
given that every 2.5 hours, the machine produces 150 baskets
Goal: to express this production rate in number of baskets the machine can produce in 1 hour (i.e obtain the unit rate)
2.5 hours -------> machine produces 150 baskets
1 hour --------> machine produces 150 ÷ 2.5 = 60 baskets
hence the unit rate of production is 60 baskets per hour
Answer:
60 baskets per hour
Step-by-step explanation:
given that every 2.5 hours, the machine produces 150 baskets
Goal: to express this production rate in number of baskets the machine can produce in 1 hour (i.e obtain the unit rate)
2.5 hours -------> machine produces 150 baskets
1 hour --------> machine produces 150 ÷ 2.5 = 60 baskets
hence the unit rate of production is 60 baskets per hour
HELP MEE PLEASEEEEEEEEE!!
Answer:
0x+2
Step-by-step explanation:
Answer:
Step-by-step explanation:
.Let's solve for b.
y
=
m
x
+
b
Step 1: Flip the equation.
m
x
+
b
=
y
Step 2: Add -mx to both sides.
m
x
+
b
+
−
m
x
=
y
+
−
m
x
b
=
−
m
x
+
y
Answer:
b
=
−
m
x
+
y
Upgrade to Premium
Which equation has the same solution as 10x-x+5=4110 x − x + 5 = 41?
After 4 days Gianna made 215 cookies. After 6 days she made 275 cookies. How many cookies would Gianna make after 10 days?
Answer:
395 cookies are made after 10 days
Step-by-step explanation:
Gianna makes 30 cookies each day.
275-215= 60/2 =30
30*4= 120
275+120=395 cookies made after 10 days
Triangle ABC is shown with four images that are each the result of a transformation of triangle ABC
5
D
4 +6
3+B
N
1
-5 -4 -3 -2 -14
1 2 3
4
5
X
G
S
For which triangle is one reflection necessary for the transformation to occur?
O AGHI
O AJKL
O AMNP O AQRS
Answer:
AGHI
Step-by-step explanation:
I took the quiz on edgenuity
The triangle where one reflection necessary for the transformation to occur is triangle GHI.
What is a triangle?A triangle is known to be a polygon that is made up of three edges and it is one that also has three vertices.
Note that order of arrangement of the vertices in ΔABC can be regarded as a clockwise direction. The same is with the images except for the one of ΔGHI. A reflection is needed when reversing a sequence of vertices. but only one reflection is needed to obtain an image like that of ΔGHI.
Learn more about triangle from
https://brainly.com/question/17335144
The skating rink charges $100 to reserve the place and then $5.50 per person. Write an algebraic expression.
Answer:
y=5.5x+100
Step-by-step explanation:
since the $5.50 is your variable, you set that to the x value, and 100 to reserve is your y intercept because it is constant.
Tell whether the statement is always, sometimes, or never true.
The LCM of two different prime numbers is their product.
The statement is
true.
What is this slope ?
HELP ME MANN I HATE MATH
Answer:
$12 a week
Step-by-step explanation:
If he gets paid $168 for 14 weeks, to find 1 week's worth, divide 168 by 14 to get 12.
Answer:
Don't hate math because math is very important in our lives
Write and solve an equation for the situation.
The perimeter of a parallelogram is 44 meters meters. The width of the parallelogram is 6 m less than its length. Find the length and the width of the parallelogram
The length of the parallelogram is____
The width of the parallelogram is____
Answer:
18.6667 = w
9.3333 = l
ITS WRONG
IT'S WRONG
WRONG ANSWER
Step-by-step explanation:
w-6 = l
w=w
Act like it is a rectangle, two lengths, and two sides.
w-6 + w-6 + w + w = 44
w-12 + 2w = 44
3w - 12 = 44
add 12 to both sides
3w=56
divide both sides by 3
18.6667 = w
I need to know who is right with and explanation
Answer:
kay
Step-by-step explanation:
when you divide with exponents you subtract the the denominator from the numerator so 12-8
The points (10, w) and (3, 1) fall on a line with a slope of 0. What is the value of w?
Answer:
w = 1
Step-by-step explanation:
If the slope is 0, then this line will be horizontal.
This means that the y value will be the same for all points on the line.
Since we are given the point (3, 1), we know that the y value is 1. This means all other points on the line will have 1 as the y value.
So, w is equal to 1 because it is the y value in that ordered pair.
HELP PLEASE THIS IS MY LAST QUESTION OF THIS TEST AND I LITERALLY DONT KNOW WHAT TO DOOO!
Answer:
Complementary!!!
Step-by-step explanation:
A company manufactures 16-oz boxes of cereal. Boxes are randomly weighted to ensure the correct amount. If the discrepancy in weight is more than 0.15 oz, the production is stopped. What is the range of acceptable values for production to continue?
A. 15.15 oz to 16.00 oz
B. 15.85 oz to 16.00 oz
C. 15.85 oz to 16.15 oz
D. 16.15 oz to 16.45 oz
Answer:
It's C
Step-by-step explanation:
took the test
Answer:c
Step-by-step explanation:
Solving Inequalities
-6x+2>20
Answer:
first you subtract 2 from both sides
-6x>18
then you divide
-6 by 18 which is -3 and since you divided with a decimal that flips your sign so your answer is X<-3
Answer:
x<-3
Step-by-step explanation:
First, write the equation and subtract 2 on both sides.
-6x+2>20
-2 -2
-6x>18
Divide both sides by -6.
-6x>18
/-6 /-6
x<-3
(Remember, we have to flip the sign when multiplying or diving by a negative.)
Hope this helps! Have an amazing day C:
