The complete version of the question is attached below :
The length of Cityscape Bike Path is [tex]3 \frac{1}{9} miles[/tex]
Given that :
Cityscape Bike Path is [tex]2 \frac{2}{3}[/tex]
times longer than Bay View Bike Path
Length of Bay View Bike Path = [tex] \frac{7}{6} miles[/tex]
Hence, to compute the length of Cityscape Bike Path :
Cityscape Bike Path = [tex]2 \frac{2}{3} \times [/tex] Length of Bay View Bike Path
Therefore, length of Cityscape Bike Path =
[tex]2 \frac{2}{3} \times \frac{7}{6} [/tex]
Length of Cityscape Bike Path =
[tex] \frac{8}{3} \times \frac{7}{6} = \frac{56}{18} = 3 \frac{1}{9} miles[/tex]
Hence, the length of Cityscape Bike Path is [tex]3 \frac{1}{9} miles[/tex]
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What is the scale factor?
Answer: B
Step-by-step explanation:
You can see that the length of the sides from abc are factored by 1/3 to get the length of xyz. Therefore, the scale factor is 1/3.
A certain shampoo is available in two sizes. A 14.2 ounce bottle costs $3.98. A 33.9 ounce bottle costs $9.98. Find the unit price for each size. Then state which size is the better buy based on the unit price. Round your answers to the nearest cent. Thank you!
Answer:
A 14.2 ounce bottle costs $3.98 is the better buy
Step-by-step explanation:
Find the price per ounce for each
A 14.2 ounce bottle costs $3.98
3.98 /14.2 =.28028169 = .28 per ounce
A 33.9 ounce bottle costs $9.98
9.98/33.9 =.29439528 = .29 per ounce
Write the equation in slope-intercept form. y = 6(x + 2) + 5x
Answer:
y=11x+12
Step-by-step explanation:
y = 6(x + 2) + 5x
y=6x+12+5x
y=11x+12
in slope interception form= y=mx+c
y=11x+12
If a3 = 11 and a5 = 7 and ak is the -th term of the sequence and ak = -9, then what is the value of k?
Consider the expression
-4b + 8c + 12 - 8b - 2c + 6.
Part A
Factor the simplified expression using the GCF.
Answer:
-12 b + 6 c + 18
Step-by-step explanation:
-4 b + 8 c + 12 - 8 b - 2 c + 6
After simplification, the correct value is,
⇒ 6 (- 2b + c + 3)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We haver to given that;
The expression is,
⇒ -4b + 8c + 12 - 8b - 2c + 6.
Now, We can simplify by combine like terms as;
⇒ -4b + 8c + 12 - 8b - 2c + 6.
⇒ - 12b + 6c + 18
And, GCD of 12, 6, 18 = 6
Hence, Take 6 as common as;
⇒ - 12b + 6c + 18
⇒ - 2×6b + 6c + 3×6
⇒ 6 (- 2b + c + 3)
Therefore, The solution of the expression is,
⇒ 6 (- 2b + c + 3)
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how do I do this and what is the answer?
Answer:
4
plug in -1 for all the x's
3 + 2 + 7 = 12 (remeber that -1 *-1 = + 1 and that -2*-1 = + 2
-2+ 5 = + 3
12/3 = 4
Step-by-step explanation:
Read the following problem: "Find the number, if the sum of 9 and a half a number equals 35." Which of the following translations is correct?
9 + x + 2 = 35
9 + 2x = 35
9 +35 = 2x
None of these choices are correct.
Profit And Loss
1. Find the profit percent when 6 pens are sold at the cost price of 9 pens.
Answer stepwise
0.7% percent is the answer
We use the formula V = πr2h to find the volume of a cylinder. Make h the subject of the formula.
Answer:
V / ( pi r^2) = h
Step-by-step explanation:
V = pi r^2 h
Divide each side by pi r^2
V / ( pi r^2) = pi r^2 h / pi r^2
V / ( pi r^2) = h
What is the value of g(f(x)) f(x)=2x^2+3 g(x)=x-4
Answer:
2x^2 -1
Step-by-step explanation:
f(x)=2x^2+3
g(x)=x-4
g(f(x))
Replace x in g(x) with the function f(x)
g(f(x)) = 2x^2+3 -4
Combine like terms
=2x^2 -1
Drag an answer to each box to complete this paragraph proof. can u tell me what is this for
Answer: its for an assignment
Step-by-step explanation:
Kristen goes on a cake tour with her family they climb down 8 m below ground level they climb the opposite of 8 m to return to ground level how many meters did they climb in all into your answer in the box
Answer: 16 meters in total, even tho it seems they didn’t move at all
Step-by-step explanation:
Answer:
16 meters
Step-by-step explanation:
Down 8 meters is a distance of 8m
Up 8 meters is a distance of 8m
8m+8m = 16 meters total
What is the value of the expression below when y = 8 y=8? 2 y + 7 2y+7
Answer:
23
Step-by-step explanation:
[tex]2 y + 7[/tex]
Replace y with 8
[tex]= 2 (8) + 7\\= 16+ 7\\= 23[/tex]
Therefore, the value of the expression when y=8 is 23.
I hope this helps!
You want to decrease a biscuit recipe by half. The recipe calls for 14 cups of milk. How much milk would you use.
Answer: You would use 7 cups of milk.
Step-by-step explanation:
Half of 14 is 7.
Plz help........
1. -1114 ÷ ( - 117)
2. -212 ÷ ( -123)
3. - 512 ÷ 58
4. 27 ÷ ( -79)
Answer:
1. 1114/117 2. 212/123 3. -256/29 4. -27/79
Step-by-step explanation:
1. 1114/117
2. 212/123
3. -256/29
4. -27/79
a colleague needs to move a 500 pound object that's on a lever. the fulcrum is 6 inches from the object. If your colleague weighs 180 pounds how far will your colleague need to be from the fulcrum to move the object? Use the formula B = (P x A) ÷ W, and round your answer to two decimal places.
Answer:
Step-by-step explanation:
The easier way to figure this is by using the concept of torque in physics. If the torque of the man is greater than that experienced by the box, the lever will tilt in the man's favor (in other words, he will move down and the box will be lifted). Torque is found by multiplying the perpendicular force by the length of the lever arm. Because we want the man's torque to be greater than the box's torque, the inequality is:
[tex]\tau_{man}>\tau_{box}[/tex] and
[tex]180r>500(.1524)[/tex] That decimal is 6 inches in terms of meters.
180r > 76.2 so
r > .42 meters or `16.67 inches. The man has to sit at a distance greater than 16.67 inches in order for the box to be lifted by the lever.
how much cost Rs 1136 when it is 10% discount and 13% vat is added then find out the discount and Vat amount
Answer:
Rs 1155.3
Step-by-step explanation:
1136 * .1 = 113.6
1136 - 113.6 = 1022.4
1022.4 * 1.13 = 1155.3
In right triangle ABC
a.30°
b.45°
c.60°
d.75°
Answer:
c
Step-by-step explanation:
30°+90°+x=180° (the sum of interior angle of a triangle is 180°)
120°+x=180°
x=180°-120°
x=60°
Simplify the following expression:
-3(x+6)+8x
3x-25
5x-22
-11+3x
5x-18
Answer:
5x -18
I hope this helped! have a nice day! :)Answer:
5x+18
Step-by-step explanation:
An ice-making machine needs to be switched on
for 10 minutes before the production of ice begins.
The mass, in tờnnes, of ice produced is directly
proportional to the number of hours of production.
Given that 20 tonnes ofâce are produced when the
machine runs for half an hour, find the mass of ice
manufactured when the machine runs for
1.75 hours
Since the question explicitly stated that ice production is proportional to time, we're going to have to use proportion fractions. Remember to convert hours into minutes as well.
Twice a number decreased by 39 is five times the sum of the
number and 2 times the number. Find the number.
Answer: x=-3
Step-by-step explanation:
2(x)-39=5(x+2x)
2x-39=5(3x)
2x-39=15x
-39=13x
-39/13=-3
Which of the following choices is a linear function?
O f(x) = x2 – 3x+ 2
O f(x) = 3x3 – 3x + 2
O f(x) = -3x + 2
Answer:
f (x) = x2 - 3x + 2
Step-by-step explanation:
Answer:
f(x)=-3x+2
Step-by-step explanation:
The first one is a quadtratic function because it is in quadtratic form.
The second one is also not linear because it looks like a squiggly line. Sorry I forgot what they are called but I know it is not linear.
That leaves the last one is is linear and should be going down because there is a negative in front of the coefficient. It also has so exponent to prove why it is linear even further.
Hope this helps!
A train station is between the towns Antville and Bugville. The station is four times as far from Bugville as it is from Antville. If the distance from Antville to Bugville is 95 km, how far is it from Antville to the station?
Answer:
237.5 or 238
Step-by-step explanation:
95km=10
95km×10=950
950÷4= 237.5cm
approximately 238
what is the product of 5 1/2 and 1 2/7
Answer:
[tex]\frac{99}{14}[/tex] or [tex]7\frac{1}{14}[/tex]
Step-by-step explanation:
[tex]5\frac{1}{2}[/tex] × [tex]1\frac{2}{7}[/tex]
Step 1. Convert the mixed fractions into an improper fraction (by multiplying the denominator by the whole number and adding the numerator with de denominator to the result)
Answer:
[tex]5\frac{1}{2}=[/tex] [tex]2[/tex] × [tex]5+1=[/tex] [tex]\frac{11}{2}[/tex]
[tex]1\frac{2}{7}=[/tex] [tex]7[/tex] × [tex]1+2=\frac{9}{7}[/tex]
Step 2. Multiply (by multiplying numerator by numerator and denominator by denominator)
Answer:
[tex]\frac{11}{2}[/tex] × [tex]\frac{9}{7}=\frac{99}{14}[/tex] or [tex]7\frac{1}{14}[/tex]
Answer:
The product of 5 1/2 and 1 2/7 is 7 1/14
Step-by-step explanation:
Turn the mixed numbers into improper fractions.
11/2 * 9/7
Multiply.
11/2 * 9/7 = 99/14
Turn into a mixed number.
99/14 = 7 1/14
Hope this helps!
Find the volume of this cone.
Use 3 for TT.
5in
Tr2h
3
8in
V
V ~ [?]in3
Answer:
50 in ^3
Step-by-step explanation:
V = 1/3 pi r^2 h
We know that pi = 3
the diameter is 5 so the radius is 1/2 the diameter of 5/2 = 2.5
The height is 8
V = 1/3 ( 3) ( 2.5)^2 ( 8)
V = 50 in ^3
Help!!! please!!! Confused!
plz help me..... ....
Answer:
Step-by-step explanation:
What is the mean of the set of data?
6, 7, 10, 12, 12 ,13
answer choices:
6
10
7
11
Answer:
mean = 10
Step-by-step explanation:
The mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
= [tex]\frac{6+7+10+12+12+13}{6}[/tex]
= [tex]\frac{60}{6}[/tex]
= 10
What is the area of polygon ABCDEFGHI in the coordinate plane from the figure below?
In your own words what is the absolute value of a number?
Answer:
see below
Step-by-step explanation:
The absolute value is the distance from zero.
It is the non-negative quantity.
