Answer:
Step-by-step explanation:
Distance = Speed * time
If a bird leaves it's nest and travels 15 miles per hour downwind for x hours, the distance covered will be:
D = 15x
x = D/15 ....... 1
If on the return trip, the bird travels 3 miles per hour slower and has 2 miles left after x hours
Her speed = 15 - 3 = 12mi/hour
If she has 2 miles left after x hours, new distance will be D-2, using the formula for distance:
D+2 = 12x
x = D-2/12 ....... 2
Equate 1 and 2:
D/15 = D-2/12
Cross multiply
12D = 15(D-2)
12D = 15D - 30
12D-15D = -30
-3D = -30
D = 10 miles
The distance for the entire trip will be D + (D-2) = 10 + (10-2)
= 10 + 8
= 18 miles
To get the time x, we will substitute D = 10 into equation1
D = 15x
10 = 15x
x = 10/15
To minutes
x = 10/15 * 60
x = 40 minutes
For the going trip
Time taken = x hours
Return trip = x hours
Total time for the entire trip = x+x = 2x
= 2(40)
= 80 minutes
Hence the total time taken for the entire trio will be 1 hour 20minutes
find the value of the height of the tree.
Answer:
20 ft
Step-by-step explanation:
First we must find out what the scale factor is.
26 / 6.5 = 4
the scale factor is 4.
Now we must multiply 5 by 4 to find x.
5 * 4 = x
20 = x
x = 20
The height of the tree is 20 ft.
What’s the value of y if x = 88
can someone help me plz:)
Answer:
when i did the math i got o.28
Step-by-step explanation:
Explain why -7 has a greater absolute value than the absolute value of 6.
Answer:
abosute value is the bigger number regardless of positives and negitives.
Step-by-step explanation:
Answer:
The absolute value of a number means the distance from 0. -7 is further from 0 than 6, therefore, it has a greater absolute value. Keep in mind, absolute value makes all numbers positive.
The ratio of adult cats to kittens at a pet care center on was 5:2 . There were 12 kittens there that day. Thursday , 38 adult cats were at the pet care center. What is the difference between the number of adult cats at the pet care center on thursday and monday?
Answer:
8 adult cats
Step-by-step explanation:
The ratio of adult cats to kitten at the pet care center was 5:2
No of adult cats= 5x
No of kitten cats= 2x
Since there were 12 kittens that day
2x= 12
x= 12/2
x= 6
Number of adult cats = 5x
= 5 × 6
= 30 adult cats
Therefore since there were 38 adult cats in the pet center in Thursday then the difference between the number of adult cats in Thursday and Monday can be calculated as follows
= 38-30
= 8 adult cats
Help me PLZ, I WILL GIVE ROBUX TO THE BEST ANSWER!
Answer:
GIVE ROBUX FIRST
Step-by-step explanation:
Solve for x and y.
(please help asap)
Answer:
x = 4
y = 1
Step-by-step explanation:
At first, let us find the third angle in the triangle which has a right angle and an acute angle of measure 52°
∵ The sum of the interior angles of a triangle is 180°
∴ 52° + 90° + (6x + 14y)° = 180°
→ Add the like terms
∴ 142° + (6x + 14y) = 180°
→ Subtract 142° from both sides
∴ (6x + 14y)° = 38° ⇒ (1)
→ By using the two triangles
∵ The two triangles are congruent
∴ (15x - 8y) = 52° ⇒ (2)
Now we have a system of equations to solve it
→ Multiply equation (1) by 5 and equation (2) by -2 to make the
coefficients of x equal in values and different in signs
∵ 5(6x + 14y) = 5(38)
∴ 30x + 70y = 190 ⇒ (3)
∵ -2(15x - 8y) = -2(52)
∴ -30x + 16y = -104 ⇒ (4)
→ Add equations (3) and (4) to eliminate x
∵ 86y = 86
→ Divide both sides by 86 to find y
∴ y = 1
→ Substitute the value of y in equation (1) to find x
∵ 6x + 14(1) = 38
∴ 6x + 14 = 38
→ Subtract 14 from both sides
∴ 6x = 24
→ Divide both sides by 6
∴ x = 4
Evaluate:
(-4) (3)
Easy come up for anyone who needs an easy 10 points
Answer:
-12
Step-by-step explanation:
Answer: (-4)(3)= -12
Kenson and Shelly are each saving money.
• Kenson has $60 in savings and will save an additional $12 every week.
• Shelly has $85 in savings and will save an additional $7 every week.
Which equation can be used to determine w, the number of weeks it will take Kenson and Shelly to save the same amount of money?
A. 720 + 60w = 595 + 85w
B. 7w + 595 = 12w + 720
C. 60 + 7w = 85 + 12w
D. 60 + 12w = 95 + 7W
Answer:
D.
Step-by-step explanation:
D. 60 + 12w = 95 + 7W
Jose traveled 315 miles in 7 hours. Based on this rate, how many miles did Jose travel in one hour? Do not include units.
Answer:
45
State your explanation below:
Answer:
45
Step-by-step explanation:
315/7=45
A cone is placed inside a cylinder. The cone has half the radius of the cylinder, but the height of each figure is the same. The cone is tilted at an angle so its peak touches the edge of the cylinder’s base. What is the volume of the space remaining in the cylinder after the cone is placed inside it? (Please explain and show work)
=================================================
Work Shown:
A = volume of the cylinder
A = pi*(radius)^2*(height)
A = pi*r^2*h
-----------
The cone's base has diameter r/2, so its radius is (1/2)*(r/2) = r/4
B = volume of the cone
B = (1/3)*(volume of cylinder with radius r/4 and height h)
B = (1/3)pi*(r/4)^2*h
B = (1/3)*pi*(r^2)/(4^2)*h
B = (1/3)*pi*(r^2)/16*h
B = (1/3)*(1/16)*pi*r^2*h
B = (1/48)pi*r^2*h
B = (1/48)*A
B = (1/48)*(volume of cylinder)
-----------
C = volume of the empty space/air inside cylinder, but outside cone
C = A-B
C = A - (1/48)*A
C = (48/48)A - (1/48)A
C = (48A)/48 - (A/48)
C = (48A-A)/48
C = 47A/48
C = (47/48)*A
C = (47/48)*pi*r^2*h
If the number of gallons of gas is known, can you find the number of miles driven?
Explain how this value could be calculated.
PLEASE SOMEONE HELP ME!!!!!!
Answer:
It cant
Step-by-step explanation:
car use gas at differnt rates
45 +2.50m = 3.75m
what is the answer
m = 36
Work
45 + 2.50m = 3.75m
-3.75m -3.75m
45 - 1.25m = 0
- 45 - 45
-1.25m = -45
-1.25 -1.25
m = 36
HELP!! igzitzgiziztztizu
Answer:
57 miles in 1 hr
Step-by-step explanation:
171/3 = 57
A circuit board manufacturer rejects a 100-ohm resistor if its measured resistance is 0.15 ohm or more away from 100 ohms. Resistors A and B are rejected. Resistor A's resistance differs from 100 ohms by +0.15 ohm. Resistor B's resistance differs from 100 ohms by -0.78 ohm. Which resistor has a resistance closer to 100 ohms?
Answer:
Resistor A has a resistance closer to 100
Step-by-step explanation:
Here, we want to know which of the two resistors have a resistance closer to 100 ohms
To know the resistance closer to 100, we need to know the absolute value of the resistances
-0.78 has a resistance of 100 - 0.78 = 99.22
The 15 ohms resistor has resistance of 100 + 0.15 = 100.15
Since 100.15 is closer to 100 than 99.22, due to the absolute value of both, then the +0.15 ohm resistor is closer to 100
Lee has decided to build a shed on a square concrete slab. The shed has the same width, w,as the slab. Its length is 2 m shorter than the width of the slab .
a) What is an expression for the area of the shed?
Answer:
w * w+2 = area of the shed
Step-by-step explanation:
Well you just do the width times the width plus two. (please Brainliest)
Change 2/5 to a decimal
2/5 = 0.4
Simply devide 2 by5 then you'll get the answer as 0.4
Answer:
0.4
Step-by-step explanation:
Simplify (3x-7)^2
Step by step
Answer:
9x² - 42x + 49
Step-by-step explanation:
Given
(3x - 7)² = (3x - 7)(3x - 7)
Each term in the second factor is multiplied by each term in the first factor, that is
3x(3x - 7) - 7(3x - 7) ← distribute both parenthesis
9x² - 21x - 21x + 49 ← collect like terms
= 9x² - 42x + 49
QUESTION 5
The expression 50m + 18m in simplest form is
B.
81m
A.
28m
D.
8V2m
C.
812
Answer:
the anwer is D.8V2m to youre question
Find the value of w in the pentagon below if the perimeter is 105 meters.
(3 + 2w) m
(3 + 2w) m
(3 + 2w) m
(3 + 2w) m
(3 + 2w) m
Answer: 9 (with a margin of: 0)
Step-by-step explanation:
Times everything by 5
That gives you 15 + 10w = 105.
Subtract 15 from both sides
Divide by 10 to get w by itself
Then you solve
Ron Alotte and Dee Selerate ran a 20 km. Race. Dee made three 10 minute stops during the race to fix her shoes and rest and yet the two racers finished in a tie. If Ron ran the race at a constant speed of 8 km. Per hour, find Dee's average speed when running.
Answer:
10km/hr
Step-by-step explanation:
Given that:
Distance covered by both Dee and Ron= 20km
Ron's speed = 8km/hr
Dee made three 10 minute stops during the race.
Time it took Ron to cover 20km
Time = distance / speed
20km / 8km/hr = 2.5 hours = 150 minutes
Since they both tied ;
Running time of Dee = (150 - (3*10)) = 120 minutes = 2 hours
Ron's speed = distance / time
Speed = 20 km / 2hours
Speed = 10km/hr
3√5•3√2 =
A. √10
B. 9√10
Which one?
Work Shown:
[tex]x = 3\sqrt{5}*3\sqrt{2}\\\\x = (3*3)(\sqrt{5}\sqrt{2})\\\\x = 9\sqrt{5*2}\\\\x = 9\sqrt{10}\\\\[/tex]
The rule used on line 3 is [tex]\sqrt{A}*\sqrt{B} = \sqrt{A*B}[/tex]
Two vectors added using the tip to tail method. There is a 12 meter vector west added to a 5 meter vector north in a right triangle. The hypotenuse is a dashed arrow labeled R. What is the magnitude of the resultant vector? 13 miles 17 miles 60 miles 169 miles
Answer:
The answer is below
Step-by-step explanation:
The two vectors together with the resultant vector forms a right angled triangle. The resultant vector R can be gotten using the formula:
R² = 12² + 5²
R² = 144 + 25
R² = 169
R = √169 = 13
R = 13 miles
The resultant vector is 13 miles
The direction is gotten from:
θ = tan⁻¹(5/12)
θ = 22.62° North West
The resultant vector is therefore 13 miles North West
Answer:
13.9
Step-by-step explanation:
In its first year of operation, Big Lake Camp had 40 campers. This year’s attendance was 180% of the first year’s. How many campers participated this year?
32
58
64
72
Answer:
72 campers participated this year
Step-by-step explanation:
Percentages
To determine x% of y, we must calculate x*y/100.
The number of campers that participated in Big Lake Camp during its first year was 40. We now want to know the number of campers that participated this year, if the attendance was 180% of the first year's.
The new attendance is calculated as follows:
40 * 180 / 100 = 72
72 campers participated this year
Answer:
72
Step-by-step explanation:
3 ratios that are equivalent to the given ratio.
4/7
Answer:
8/1416/2824/56Hope this helps! <3
Answer: Multiply by 2
Step-by-step explanation:
4*2=8 7*2=14
8:14
4*3=12 7*3=21
12:21
4*4=16 7*4=28
16:28
Susan divides the fraction LaTeX: \frac{5}{8}5 8by LaTeX: \frac{1}{16}1 16. Her friend Robyn divides LaTeX: \frac{5}{8}5 8by LaTeX: \frac{1}{32}1 32. Who will get the greater quotient, Susan or Robyn? Write "Susan" or "Robyn." What is Susan's quotient? Write your answer as a whole number. What is Robin's quotient? Write your answer as a whole number.
Given:
Susan divides the fraction [tex]\dfrac{5}{8}[/tex] by [tex]\dfrac{1}{16}[/tex].
Her friend Robyn divides [tex]\dfrac{5}{8}[/tex] by [tex]\dfrac{1}{32}[/tex].
To find:
The quotient of Susan and Robyn.
Solution:
Susan divides the fraction [tex]\dfrac{5}{8}[/tex] by [tex]\dfrac{1}{16}[/tex].
[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{16}}=\dfrac{5}{8}\times \dfrac{16}{1}[/tex]
[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{16}}=\dfrac{80}{8}[/tex]
[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{16}}=10[/tex]
So, Susan's quotient is 10.
Her friend Robyn divides [tex]\dfrac{5}{8}[/tex] by [tex]\dfrac{1}{32}[/tex].
[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{32}}=\dfrac{5}{8}\times \dfrac{32}{1}[/tex]
[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{32}}=5\times 4[/tex]
[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{32}}=20[/tex]
So, Robyn's quotient is 20.
Since 20>10, therefore, Robyn will get greater quotient.
Given the point (1, 2) and a slope of 4, write the equation in point slope form.
Answer:
y - 2 = 4(x - 1)
Step-by-step explanation:
Use point slope form, y - y1 = m(x - x1), where m is the slope:
Plug in the slope and the given point:
y - y1 = m(x - x1)
y - 2 = 4(x - 1)
So, the equation in point slope form is y - 2 = 4(x - 1)
Round 3,004 to the nearest whole number HELPPPP
Answer:
3,000 is your answer.
Step-by-step explanation:
3
When rounding off to the nearest whole number all you do is look at the first decimal and see if it is bigger than 5 which in this case it isn't so, the 3 stays the same and that would be your answer. If it was bigger than 5 then your whole number changes to 4.
please help. i will mark brainleast
Answer:
9 is the answer.
Both negative signs cancel eachother, so you just have 45/5.
Step-by-step explanation:
Good luck! <3
help me .................
Answer:
Perpendicular
Step-by-step explanation:
the slope of b is -3/4 and the slope of a is 4/3
Answer:
Perpendicular
Step-by-step explanation:
The lines are perpendicular because they meet at a right angle (90 degrees).