Answer:
15hrs
Step-by-step explanation:
We can start by expressing the speed of the second trip as x. This means that the first trip must be x-1, and second (x-1)-1=x-2. Next we can form an equation with the information that the third day hike takes 30 min longer than second day hike. Since we now the distance of both days, we can express them in time. So... [tex]\frac{18}{x}+\frac{1}{2}=\frac{14}{x-2}[/tex] ... We can solve by finding a LCM of all three expressions. Doing so we get 2x(x-2). Now multiplying out with the new denominators, we get 36(x-2)+x(x-2)=28x. Solving as a quadratic equation, the solution comes out to be x=6, x=-12. But as speed can't be negative, only solution is x=6. Now we get the speed of each day's hike. First day=x-1=5, second day=6, third day =x-2=4. Finding the time is simple, just do distance/speed. First day=12.5/5=2.5hrs. Second day=18/6=3hrs. Third day=14/4=3.5hrs. Adding total hrs up... 2.5+3+3.5=9. Finally step is accounting for the 2hr digging time per day. 2hrs*3= 6hrs. 6hrs+9hrs=15hrs. Hope this helps!
Write an equation that represents the line.
Use exact numbers.
What is the length of K Street and D Street?
Answer:
775 ft
Step-by-step explanation:
1000/800= K/620
800K = 620,000
K = 775 ft
Make r the subject - picture underneath
Answer:
The answer is r = 6a / (5m² - 1).
Step-by-step explanation:
The steps are :
[tex]m = \sqrt{ \frac{6a + r}{5r} } [/tex]
[tex] {m}^{2} = \frac{6a + r}{5r} [/tex]
[tex]5r {m}^{2} = 6a + r[/tex]
[tex]5r {m}^{2} - r = 6a[/tex]
[tex]r(5 {m}^{2} - 1) = 6a[/tex]
[tex]r = \frac{6a}{5 {m}^{2} - 1 } [/tex]
Answer:
r = [tex]\frac{6a}{5m^2-1}[/tex]
Step-by-step explanation:
Given
m = [tex]\sqrt{\frac{6a+r}{5r} }[/tex] ( square both sides )
m² = [tex]\frac{6a+r}{5r}[/tex] ( multiply both sides by 5r )
5rm² = 6a + r ( subtract r from both sides )
5rm² - r = 6a ← factor out r from each term on the left side
r(5m² - 1) = 6a ← divide both sides by (5m² - 1)
r = [tex]\frac{6a}{5m^2-1}[/tex]
please help I'm timed
Answer:
60 students-530 Question 1.
Step-by-step explanation:
20 large plastic bottles can be recycled to 1 fleece jacket.
How many fleece jackets can be made with 280 large plastic bottles?
Answer:
14 jackets
Step-by-step explanation:
20 plastic bottles=1 fleece jacket
280 plastic bottles=?
(280×1)÷20
=14
Find the value of x in the triangle shown below.
2
7
x
Answer:
[tex] {2}^{2} + {x}^{2} = {7}^{2} \\ {x}^{2} = 49 - 4 \\ x = \sqrt{45} \\ x = 6.708[/tex]
Answer:
By using Pythagoras theorem we get
H²=p²+b²
7²=2²+x²
X²=7²-2²
X=√(49-4)=√45=3√5
Step-by-step explanation:
Davindra made a paper box that is 8 in. Long, 5 in. Wide, and 1 in. High. It is shaped like a rectangular prism. What is the surface area of the box? *
Answer:
106 in²
Step-by-step explanation:
Given that :
Davindra made a paper box that is 8 in. Long, 5 in. Wide, and 1 in. High.
Using the relation :
SA=2lw+2lh+2hw
Surface area :
2(lw + lh + hw)
l = 8 ; w = 5 ; h = 1
Surface area :
2(8*5 + 8*1 + 1*5)
Surface area :
2(40 + 8 + 5)
= 2(53)
= 106 in²
The author also uses _________ to describe the building and to give the reader a sense of "forbidding" or imposing fear.
repetition
imagery
irony
personification
Answer:
Imagery
How:
By describing the building through imagery, explaining it's appearance/past/history/story (and assuming it's bad), gives the listener a feeling of "forbidding" or imposing fear.
DEFINITIONS:Forbidding: Unfriendly or threatening in appearance.
Imposing fear: Someone noticeably feared by something/someone.
Three stores are selling the same brand of soda for different prices. Which stores has the better price? Store x / 4 for $2.48 Store Y / 5 for $3.00 Store Z:\$0.62 for 1 can
Answer:
store y has the best price
Step-by-step explanation:
store x you would pay .62 for each soda
store z you would pay .62 for one soda
and store y you would pay .60 for each soda so you would want to pick the one with the lowest price on each and you would get more for a lower amount of money.
4. An extension ladder is leaned up against a building to reach a window that is 16.1 feet
from the ground. The base of the ladder is 10 ft from the building.
a How long is the ladder if it is fully extended?
b. What is the angle that the ladder makes with the ground?
C. What is the angle of the ladder with the building?
Answer:
a) ~18.95ft
b) ~58°
c) ~32°
Find the slope of the line through the pair of points (-6,-5) and (-2,6)
Answer:
11/4
Step-by-step explanation:
Match the reason with the statements please. Thank you!
Answer:
st 1 _ r 3
st 2 _ r 1
st 3 _ r 2
st 4 _ r 4
A shelf is 36 inches long. How many DVD’s can I place on it if each one is 5/8 inches thick?
You can place approximately 57 DVDs on the shelf if each DVD is 5/8 inches thick. To determine the number of DVDs that can fit on a shelf, we need to divide the length of the shelf by the thickness of each DVD.
The shelf is 36 inches long, and each DVD is 5/8 inches thick.
Dividing the length of the shelf by the thickness of each DVD:
36 inches / (5/8) inches
To divide by a fraction, we multiply by its reciprocal:
36 inches * (8/5 inches)
Simplifying the multiplication:
288 inches / 5 inches
Now we can divide:
288 inches / 5 inches = 57.6
Therefore, you can place approximately 57 DVDs on the shelf if each DVD is 5/8 inches thick.
To know more about approximately:
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Lyla has $1 and 5 dimes in her pile. Harrison has 15 dimes in his pile. If Lyla gives Harrison $1 and
Harrison gives Lyla 10 dimes, will the two piles still be equal in value? Explain.
Select the correct choice below and fill in the answer boxes to complete your choice.
Answer:
yes, they will be equal
Step-by-step explanation:
I think they will be equal, because 10 dimes=$1
Find the value of each variable using sine and cosine. Round your answers to the nearest tenth.
Answer:
x ≈ 9.5 , y ≈ 15.3
Step-by-step explanation:
sin32° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{18}[/tex] ( multiply both sides by 18 )
18 × sin32° = x , then
x ≈ 9.5 ( to the nearest tenth )
cos32° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{18}[/tex] ( multiply both sides by 18 )
18 × cos32° = y , then
y ≈ 15.3 ( to the nearest tenth )
does anyone know the answer??
Answer:
rational
Step-by-step explanation:
Any rational number can be expressed in the form
[tex]\frac{a}{b}[/tex] ← where a and b are integers
Given
[tex]\sqrt{4}[/tex] = - 2 or + 2
Since - 2 = [tex]\frac{-2}{1}[/tex] and 2 = [tex]\frac{2}{1}[/tex] ← both in rational form, then
[tex]\sqrt{4}[/tex] is rational
Pls help you can do either one
Answer:
4. 20.8 in
5. 60 degrees
6. i cant see number 6 so yah
Step-by-step explanation:
Solve for X
a) 6
b) 11
c) 0
d) 12
Step-by-step explanation:
2x + 210 + x + 75 = 180
3x = - 105
x = - 35
what????
Harold cut 1812 inches off a rope that was 60 inches long. How is the length of the remaining rope in inches written in decimal form
Answer:
0.42
Step-by-step explanation:
The computation of the length of the remaining rope in inches is shown below:
Length Remaining = Length - the piece he cut off
Length Remaining = 60 - 18
60 - 18 = 42
To turn 42 into a decimal, you have to divide by 100 ↓
42 ÷ 100 = 0.42
The length of rope remaining is 0.42 inches long
Select all the true statements.
(1048 – 876) ÷ 4 is four times as large as (1048 – 876).
(1048 – 876) + 24 is 24 times as large as (1048 – 876).
(1048 – 876) – 17 is seventeen less than (1048 – 876).
1/2 × (1048 – 876) is half as large as (1048 – 876).
(1048 – 876) × 4 is four more than (1048 – 876).
Answer:
C and D are are the true statements
Please help will give brainliest
Answer:
24 because 6 times 4 equal 24 and thats the area
Step-by-step explanation:
Please help me with this question 14 + what = 6
Answer:
-8
Step-by-step explanation:
14 + x = 6
6 - 14 = -8
brainliest plz
Find the perimeter of the shape
Answer: 21
Step-by-step explanation:
add all the numbers together as many times as they are shown on the shape so 2.8=4 times
1.4= 2 times
and 3.5= 2 times
which of the three curves drawn matches the graph of y = 2x 2 + x
I need help I don’t understand it and it can’t be negative
Answer:
20
Step-by-step explanation:
On using similar triangles we get 5x = 6x-4. So x is 4 and jk length is 24-4=20
someone please answer this!!
Answer:
second option
Step-by-step explanation:
the side length of AB should be equal to XY as they are corresponding sidelengths
Answer:
BC=YZ
AB=XY
Step-by-step explanation:
Line BC is congruent to Line YZ
Line AB is congruent To line XY
PLZZZZZZZZZZZZZZZZZZZZZ:( PLZZZZZZZZ
Answer:
12.57
Step-by-step explanation:
a street sign is 88 inches tall how tall is it in feet and inches
Factor the following quadratic expression.
2p2−19p+35
I don't get this
Answer:
(p - 7)(2p - 5)
Step-by-step explanation:
[tex]2 {p}^{2} - 19p + 35 \\ \\ = 2 {p}^{2} - 14p - 5p + 35 \\ \\ = 2p(p - 7) - 5(p - 7) \\ \\ = (p - 7)(2p - 5)[/tex]
A number g multiplied by -8 is at least 1/4