Answer:
walking: 1.5 mphjogging: 3 mphStep-by-step explanation:
Let w represent Felipe's walking speed in miles per hour. Then his total travel time is ...
time = distance/speed
3 = 3/w +3/(w+1.5) . . . . . total time is the sum of walking and jogging times
1 = 1/w +1/(w +1.5) . . . . . divide by 3
w(w +1.5) = (w+1.5) +w . . . . multiply by w(w+1.5)
w^2 -0.5w -1.5 = 0 . . . . . . subtract 2w+1.5
(w -1.5)(w +1) = 0 . . . . . . . factor
The values of w that make this equation true are w = 1.5 and w = -1. Only the value 1.5 makes any sense in this scenario. Felipe's jogging speed is then 1.5+1.5 = 3 mph.
Felipe walks at 1.5 mph and jogs at 3 mph.
Lines m and n are parallel. Line m is described by y=4x+2. Line n contains the point (1, -3). Which of the following is an equation for line n?
Lines m and n are parallel Line m is described by the equation y
A Oy-3 = 4(x + 1)
B. Oy-3=(x+1)
c. Oy+3 = 4(x - 1)
D.Oy+3 = 4(x - 1)
The equation of line m, in point-slope form is: y + 3 = 4(x - 1)
Recall:
The slopes of parallel lines are equal to each other.Slope-intercept form equation is: y = mx + b, where m is slope and b is y-intercept.Point-slope form equation is: [tex]y - y_1 = m(x - x_1)[/tex] where, [tex](x_1, y_1)[/tex] is a point and m is the slope.Equation of line m is y = 4x + 2
Slope of line m is 4
Since line m and line n are parallel, both lines will have the same slope. Therefore, the slope of line n is 4.
To write the equation for line if it contains the point (1, -3), substitute [tex](x_1, y_1)[/tex] = (1, -3) and m = 4 into [tex]y - y_1 = m(x - x_1)[/tex]:
[tex]y - (-3) = 4(x - 1)\\\\\mathbf{y + 3 = 4(x - 1)}[/tex]
Therefore, the equation of line n, in point-slope form is: y + 3 = 4(x - 1)
Learn more about point-slope equation on:
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Find the x and y-intercepts of y= 2/5x-12
anyone can have few minutes to help!!
Answer:
i am not sure
Step-by-step explanation:
help me with this pls
Answer:
Yes they both = 125
Step-by-step explanation:
  I need help on 7 and 8 plssssss
or
[tex] \sf x ∈[ - 6,5)[/tex]8. Find range ~ [tex] \sf - 2 <y \leqslant 7[/tex]or
[tex] \sf x ∈ (-2 , 7][/tex]The area of a rectangular patio is 21
1
8
square meters. The width of the patio is 3
1
4
meters. What is the length? Enter your answer as a mixed number in simplest form.
The length of the patio is meters.
Answer:
6 1/2
Step-by-step explanation:
21 1/8 divided by 3 1/4
Put into improper fractions
169 / 8 divided by 13 / 4
Multiply by the reciprocal
169 / 8 x 4 / 13
= 6 1/2
A straight line passes through points (-1, 5) and (2, -4). What is the law of the function represented by this line?
Answer:
y = -3x+2
Step-by-step explanation:
See attachment.
Find the slope:
Rise = (-4 - 5) = -9
Run = (2 - (-1)) = 3
Slope(Rise/Run) = -3
Find the y-intercept:
y = mx + b
y = -3x + b
5 = -3*(-1)+b [Use point (-1,5)
b = 2
====
y = -3x + 2
someone who is good a math please answer this today asap will give brainliest
The length of a rectangle is 4 more than its width. The perimeter is 40 feet.
What are the length and width of the rectangle?
Hint: The perimeter of a rectangle is given by the formula P = 2l + 2w.
The width is 8 ft and the length is 12 ft.
The width is 13 ft and the length is 7 ft.
The width is 7 ft and the length is 13 ft.
The width is 12 ft and the length is 8 ft.
Answer:
the Answer is C
Step-by-step explanation:
We are given –
The perimeter is 40 feet and the length of a rectangle is 4 more than its width. Let the length be " l " and the width be " w ".As we know that –
Rectangle is a four sided polygonal figure, i.e, a quadrilateral, in which the opposite sides are of equal length and are parallel. Also its diagonals bisects each other.[tex].\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \huge \boxed{ \bf{ \: \: \: \: \: \: }} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tiny\sf{A \: rectangle} [/tex]
Perimeter = 2 (l + w) unitsArea = lb sq.unitsAccording to the question –
Width = w feet Length = w+4 feet[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow Perimeter _{(Rectangular) } = 2( Length + Breadth) }[/tex]
[tex]\qquad[/tex][tex] \bf \longrightarrow Perimeter _{(Rectangular) } = 2 (l + w)[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 40 = 2( w+ 4 +w)[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 40 = 2 ( 2w +4)[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 40 = 4w +8[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 4w = 40-8[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 4w = 32[/tex]
[tex]\qquad[/tex][tex]\sf \longrightarrow w = \cancel{\dfrac{32}{4}}[/tex]
[tex]\qquad[/tex][tex] \pink{\bf\longrightarrow w = 8 \:feet}[/tex]
Width of perimeter is = 8 feetSubstituting the value of w–
[tex]\qquad[/tex][tex]\purple{\bf \longrightarrow Length\: of \: rectangle = (w+4)\: feet }[/tex]
[tex]\qquad[/tex][tex]\bf \longrightarrow Length\: of \: rectangle = 8+ 4 \:feet [/tex]
[tex]\qquad[/tex][tex]\purple{\bf \longrightarrow Length\: of \: rectangle = 12\: feet}[/tex]
Henceforth, The width is 8 ft and the length is 12 ft.__________________________________________
Danielle pays $35 for 6 1/3 pounds of coffee.Charyn pays $60 for 9 1/4 of coffee. Whose coffee cost more per pound . What is the difference per pound in the coffee
Answer:
Charyn's coffee is the dearest.
Difference per pound is $0.96.
Step-by-step explanation:
Price per pound = total price / pounds bought
For Danielle this
is 35 / 6 1/3
= 35 / 19/3
= 35 * 3 / 19
= $5.526.
For Charyn this
is 60 / 9 1/4
= 60 / 37/4
= 60 * 4 / 37
= $6.486.
Difference = $0.96.
Someone help me with this math question?
Answer:
B and D
Step-by-step explanation:
HELP PLS! Which of the following expressions is equal to x2 +9?
O A. (x-3)2
O B. (x+3)(x - 3
O C. (x+3)(x-6)
O D. (X+3)2
the answer is B. (x+3) (x-3)
Helps me please ill give brainliest to the best ! this is supposed to be easy(not for me)
2616.95 rounded to the nearest tenth
An object oscillates as it moves along the
X-axis. Its displacement varies with time
according to the equation
x = 4 sin(pi t + pi/6)
where t = time in seconds and
x = displacement in meters
What is the displacement between t= 0
and t = 1 second?
Using it's formula, it is found that the displacement between t= 0 and t = 1 second is of 0 m.
The equation of motion is given by:
[tex]x(t) = 4\sin{\left(\pi t + \frac{\pi}{6}\right)}[/tex]
The displacement between t= 0 and t = 1 second is given by:
[tex]d = x(1) - x(0)[/tex]
Hence:
[tex]x(1) = 4\sin{\left(\pi + \frac{\pi}{6}\right)} = 4\sin{\left(\frac{7\pi}{6}\right)} = -\frac{4}{2} = -2[/tex]
[tex]x(0) = 4\sin{\left(\frac{\pi}{6}\right)} = \frac{4}{2} = 2[/tex]
Then:
[tex]d = x(1) - x(0) = -2 + 2 = 0[/tex]
The displacement is of 0 m.
You can learn more about displacement at https://brainly.com/question/248054
Put the following equation of a line into slope-intercept form, simplifying all fractions. 3x+6y=-42
Answer:
y = -1/2x + 7
Step-by-step explanation:
3x + 6y = 42. Put everything except the y term on the right hand side, so subtract 3x from both sides.
6y = -3x + 42. You want 1y by itself, so divide everything by 6.
y = -1/2x + 7
Which congruence criteria is met in the following scenario?
SAS
SSS
AAS
HL
ASA
 1. What do you think it means when the change is positive? Negative?
2. What do you think it means when the inventory is positive? Negative?
A positive change simply means that there is more inventory the following day while a negative change means that there is less inventory the following day.
What is an inventory?An inventory or stock simply means the goods that a business can hold in order to sell or use for its production purpose.
A positive inventory simply means that the company has phones that have not yet been sold. On the other hand, a negative inventory means that the inventory count is below zero.
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What is -10 5/6 times 8 1/2
Answer:
92 1/12
Step by step explanation:
QUICK I NEED HELP ANSWERING THIS I WILL GIVE YOU BRAINLIST
Answer:
Step-by-step explanation:
Rule: the largest angle is ALWAYS opposite the longest side, and the converse is also true: the longest side is always opposite the largest angle. So the largest side is E which is B
The slope of a line is −3, and a point on the line is (4,−1).
Question 1
Part A
What is the equation of the line expressed in slope-intercept form?
Answer:
Y= -3x + 11
Step-by-step explanation:
Y= -3x + 11 (-3x is your slope and 11 is your y intercept)
How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!
Answer:
27 children
Step-by-step explanation:
So, if you add 9 +4 = 13. 13 x 3 = 39.
3 times 9 = 27
Hope this helped! Pls mark me brainliest!
Answer:
27 children
Step-by-step explanation:
9+4=13
39/13=3
9x3=27
2 circles labeled Set A and Set B overlap. Set A contains 1, set B contains 3, and the overlap of the 2 circles contains 2. The number 4 is outside of the circles. On the Venn diagram, which region(s) represent the intersection of Set A and Set B (Aâ©B)? II I and III I, II, and III I, II, III, and IV.
The intersection of sets is the point that represents the common point of multiple sets.
The region that represents the intersection of sets A and B is region II.
From the question, we understand that sets A and B have a common set element at II.
This means that region II is the intersection of both sets.
Hence, the region that represents the intersection of sets A and B is II.
Read more about set intersection at:
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Answer:
II is the answer
Step-by-step explanation:
Edge 2022
Help please please please
Answer:
Step-by-step explanation:
All angles in a triangle add up to equal 180
22x+4=180
22x=176
x=8
20x=?
20(8)=160 degrees
Weston has $4,000 in his bank account and withdraws $30 a week. Evie has $2,800 in her
bank account and deposits $40 a week.
The week in which Evie would have more money than Weston is the 18th week.
Let this equation represent the amount of money Weston would have in x weeks be: $4000 - $30x
Let this equation represent the amount of money Evie would have in x weeks be: $2800 +$40x
The first step is to determine when they would have the same amount of money:
$4000 - $30x = $2800 +$40x
$4000 - $2800 = $40x + $30x
1200 = $70x
x = 1200 / 70 = 17.14 weeks
After 17 weeks, Evie would have more money than Weston.
Here is the complete question: Weston has $4,000 in his bank account and withdraws $30 a week. Evie has $2,800 in her bank account and deposits $40 a week. When will Evie have more money than Weston (in
weeks)?
A similar question was answered here: https://brainly.com/question/25711114
Need help please. High school Geometry
Answer: last one
Step-by-step explanation:
1. How many small squares are in Step 10?
Image below
A. 10
B. 11
C. 90
D. 110
Answer:
110 squares
Step-by-step explanation:
= 10 x 11
= 110 small squares.
From the question,
Step one : • • = 1(2) small squares
Step two : • • • = 3 squares in two layers = 2(3) = 6 small squares
• • •
Step three : • • • • = 4 squares in 3 layers = 3(4) = 12 small squares
• • • •
• • • •
Martha fue a una tienda de dulces a granel y compró 150 gramos de caramelos a $10.29 por cada 100 gramos y 220 gramos de chispas a $21.29 por cada 100 gramos. ¿Cuánto dinero gastó en total?
Answer:
62.273
Step-by-step explanation:
sorry it took me a little while to translate i speak only english
A smoothie recipe calls for 4 cups of milk, 3 frozen bananas and 2 tablespoons of chocolate syrup. Write 3 different sentences that use ratio to describe the recipe
Answer:
cool good me hungry i am kinda hungry
Step-by-step explanation:
given: 4x=12x+32 prove: =-4
Answer:
See explanation
Step-by-step explanation:
4x = 12x + 32
Subtract 12x from both sides
-8x = 32
Divide each side by -8.
x = -4
Answer:
True, see attached photo, if this helped you please give Brainliest
Step-by-step explanation:
Write an algebraic expression that models the word phrase.
the sum of the product of a number x and 6, and 2
Choose the correct answer below.
O A. 12 + x
OB. 6x + 2
O C. (6+2)x
OD. 2x + 6
Answer:
B: 6x+2
Step-by-step explanation:
hope this helps :)