When you catch up, the distance traveled is the same
Distance = rate x time
r = uncle's rate
30 min = 30/60 hr = uncle's time
25 min = 25/60 hr = your time
Uncle's distance = Your distance
(r)(30/60) = (r + 10)(25/60)
(r)(1/2) = (r + 10)(5/12)
r/2 = 5r/12 + 50/12
6r = 5r + 50
r = 50
Uncle's rate = 50 mph
Your rate = 50 + 10 = 60 mph
Which fraction represents the product of -7/8 and -9/11 in simplest form?
Answer:
63/88
any more help just ask
Answer:
c
Step-by-step explanation:
bc it is
Tony wants to make a dog bed for his dog. He has a Golden Retriever and wants to make sure the bed is big enough so his dog can stretch out. He buys 8 yards of fabric for the bed. The fabric he chooses costs $6.99 per yard. He also needs to buy a filling for the bed. He buys 3 bags of polyester filling, which are $7.99 a bag. How much will Tony pay for the materials for the dog bed?
A. $23.97
B. $55.92
C.$38.87
D.$79.89
Answer:
D.$79.89
Step-by-step explanation:
Cost of one yard of fabric = $6.99
Length of fabric bought = 8 yards
Cost of one bag of polyester filling = $7.99
Number of bags of polyester filling bought = 3
Total cost of fabric = [tex]6.99\times 8=\$55.92[/tex]
Total cost of polyester filling = [tex]7.99\times 3=\$23.97[/tex]
Total cost of materials bought = Total cost of fabric + Total cost of polyester filling
[tex]=55.92+23.97=\$79.89[/tex]
Total cost of materials bought is [tex]\$79.89[/tex].
In trapiziod ABCD with bases AB and DC , diagonals intersect at point O. Find the length of diagonal BD, if BO=6 cm and A/O=3/1
Answer:
the length of the diagonal BD is 8 cm
Step-by-step explanation:
The computation of the length of diagonal BD is as follows
Here the trapezoid diagonals divides each other in an equivalent ratio
So, equation would be
AO ÷ OC = OB ÷ OD
Now put there values to the above equation
3 ÷ 1 = 6 ÷ OD
3OD = 6
Now divided it by 3 in both the sides
OD = 2
Now the BD would be
= BO + OD
= 6 + 2
= 8 cm
hence, the length of the diagonal BD is 8 cm
What Is the slope of the line that passes through these two points (-5,7) and (6,4)
Answer:
slope = - [tex]\frac{3}{11}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 5, 7) and (x₂, y₂ ) = (6, 4)
m = [tex]\frac{4-7}{6+5}[/tex] = [tex]\frac{-3}{11}[/tex] = - [tex]\frac{3}{11}[/tex]
A television is on sale for 20% off its original price,p. Write a multiplication expression to
describe the sale price of the television.
A. 0.20p
C. 0.20p + P
D. p-0.20p
B. 0.20p-p
sale price of the television is c
Write the equation of a line passing through (12, 279) and perpendicular to x=19
Step-by-step explanation:
The equation of the line is y = 279.
help with multiple choices homework
A
Step-by-step explanation:
Which number line shows the solution set for [n]< or equal to 2
no number line is shown so this answer is improvible
A stone is thrown vertically upwards with an initial velocity 20m/s. Find the maximum height it reaches and the time taken by it to reach the height.
(g= 10m/s)
who gives answer with explanation i will make him braillint
Answer:
The maximum height it reaches is 20 meters
The time taken by it to reach the height is 2 seconds
Step-by-step explanation:
The formula of the height of the stone is h = u t - [tex]\frac{1}{2}[/tex] g t², where
t is the time to reach the height hu is the initial velocityg is the acceleration of gravity∵ A stone is thrown vertically upwards with an initial velocity of 20 m/s
∴ u = 20 m/s
∵ g = 10 m/s²
→ Substitute them in the equation above
∴ h(t) = 20t - [tex]\frac{1}{2}[/tex] (10) t²
∴ h(t) = 20t - 5t²
→ Arrange the terms of the right side according to the greatest power of t
∴ h(t) = -5t² + 20t
To find the maximum height and the time of it find the vertex of the quadratic function (m, k), where m = [tex]\frac{-b}{2a}[/tex] and k is the value of h at t = m, a is the coefficient of t² and b is the coefficient of t
∵ The coefficient of t² is -5
∴ a = -5
∵ The coefficient of t is 20
∴ b = 20
→ Use them to find h
∵ m = [tex]\frac{-20}{2(-5)}[/tex] = [tex]\frac{-20}{-10}[/tex] = h
∴ m = 2
→ Substitute it in the equation above to find k
∵ h(m) = k
∵ k = -5(2)² + 20(2)
∴ k = -5(4) + 40
∴ k = -20 + 40
∴ k = 20
∴ The coordinate of the vertex of the function are (2, 20)
→ m represents the time of the maximum height and k represents
the maximum height
∴ The maximum height it reaches is 20 meters
∴ The time taken by it to reach the height is 2 seconds
PLEASEEEE HELP!!
Which is the graph of y = ⌊x⌋ – 2?
Answer:
the second graph
Step-by-step explanation:
A. Increasing
B. Constant
C. Decreasing
Answer:
A. Increasing
Step-by-step explanation:
According to the graph, we see that as the x-values increase, the y-values also increase. Therefore, the entire graph is increasing.
Nicole is running for school president. Her best friend designed a campaign poster, which measured 3 feet by 2 feet. Nicole like the poster so much, she reproduced the artwork on rectangular buttons that measured 2 inches by 1 1/3. What is the scale factor?
Answer:
The scale factor is 18 to 1 for the painting
Step-by-step explanation:
Here we want to get the scale factor of the original to what is reproduced
Let us have same units first
Mathematically;
1 foot = 12 inches
3 feet = 36 inches
2 feet = 24 inches
So 36 to 2 and 24 to 1 1/3
That will be ratio 36/2 = 18 to 1
same as 25 divided by 1 1/3 = 18 to 1
(Easy Question) There are 3 apples and 4 bananas, what is the ratio of bananas to apples? Marking Brainliest for the first correct answer.
Answer:
4:3 or 4 to 3
Step-by-step explanation:
What is the measure of arc FLI?
Answer:
140
Step-by-step explanation:
By inscribed angles, arc FPI = 2<FLI = 2*110 = 220. Since the entire arc of a circle is 360, we know that arc FLI + arc FPI = 360. Solving, we get arc FLI = 360 - 220 = 140.
I hope this helps!
WORTH 100 POINTS // I NEED HELP! EXPLAIN HOW YOU GOT THE ANSWER ALSO
x= 6.32
y= 12
z= 18.97
Step-by-step explanation:I got my answer by; using the MCF and multiplying to see how many times 6/2 will go into x,y,z!
Hope this helps:)!
Answer:
x= 6.32
y= 12
z= 18.97
helppppppppppppppppppppp
The logarithmic expression ln(√e/y^3) can be rewritten as
Answer:
[tex]\dfrac{1 - 6 \ln y}{2}[/tex]
Step-by-step explanation:
[tex] \ln \dfrac{\sqrt{e}}{y^3} = [/tex]
[tex] = \ln \dfrac{e^\frac{1}{2}}{y^3} [/tex]
[tex] = \ln e^\frac{1}{2} - \ln y^3 [/tex]
[tex]= \dfrac{1}{2} \ln e - 3 \ln y[/tex]
[tex]= \dfrac{1}{2} - 3 \ln y[/tex]
[tex]= \dfrac{1 - 6 \ln y}{2}[/tex]
The given logarithmic expression can be written as [tex]\frac{1-6ln\ y}{2}[/tex]
Given that,
The given logarithmic expression is [tex]ln \frac{\sqrt{e} }{y^3}[/tex].We need to rewrite the above logarithmic expression.Based on the above information, the calculation is as follows:
[tex]= ln \frac{\sqrt{e} }{y^3}\\\\= ln \frac{e^{1/2}}{y^3} \\\\= ln \e^{1/2} - lny3\\\\= \frac{1}{2}ln e - 3 ln y\\\\= \frac{1}{2} - 3 ln \ y \\\\= \frac{1- 6ln \y}{2}[/tex]
Therefore we can conclude that the given logarithmic expression can be written as [tex]\frac{1-6ln\ y}{2}[/tex]
Learn more: brainly.com/question/24169758
An airplane flying with the wind can cover a certain distance in 2 hours. The return trip against the wind takes 2.5 hours. Find the average airspeed and wind speed, if the one-way distance is 600 miles.
Answer:
Wind speed = 30 mph
Plane speed = 270 mph
Step-by-step explanation:
Given that :
Distance = 600 miles
Let speed of airplane = a ; speed of wind = b
Net speed ; with wind = a + b
Net speed against wind = a - b
Time taken with wind = 2 hours
Time taken against wind = 2.5 hours
Recall :
Speed = distance / time ; distance = speed * time
(a + b) * 2 = (a - b) * 2.5
2a + 2b = 600
a + b = 300 - - - (1)
a = 300 - b
2.5a - 2.5b = 600
a - b = 240 - - - (2)
300 - b - b = 240
300 - 2b = 240
-2b = - 60
b = 30
a = 300 - 30
a = 270
Wind speed = 30 mph
Plane speed = 270 mph
What expression is equivalent to ^3 square root of 2y^3 times 7 square root of 18y
Answer:
[tex]\sqrt[3]{2y^3} * 7\sqrt{18y} = 21(y^{\frac{3}{2}})(2^{\frac{5}{6}})[/tex]
Step-by-step explanation:
The question is poorly formatted.
Given
[tex]\sqrt[3]{2y^3} * 7\sqrt{18y}[/tex]
Required
Derive an equivalent expression
[tex]\sqrt[3]{2y^3} * 7\sqrt{18y}[/tex]
Express 18 as 9 * 2
[tex]\sqrt[3]{2y^3} * 7\sqrt{9 * 2y}[/tex]
Split the expression as follows:
[tex]\sqrt[3]{2y^3} * 7\sqrt{9} * \sqrt{2y}[/tex]
Take positive square root of 9
[tex]\sqrt[3]{2y^3} * 7*3 * \sqrt{2y}[/tex]
[tex]\sqrt[3]{2y^3} * 21 * \sqrt{2y}[/tex]
[tex]21*\sqrt[3]{2y^3} * \sqrt{2y}[/tex]
The cube root can be rewritten to give:
[tex]21*\sqrt[3]{2}*\sqrt[3]{y^3} * \sqrt{2y}[/tex]
[tex]\sqrt[3]{y^3} = y^{3*\frac{1}{3}} = y[/tex]
So, we have:
[tex]21*\sqrt[3]{2} * y * \sqrt{2y}[/tex]
Rewrite as:
[tex]21y *\sqrt[3]{2} * \sqrt{2y}[/tex]
Split [tex]\sqrt{2y[/tex]
[tex]21y *\sqrt[3]{2} * \sqrt{2} * \sqrt{y}[/tex]
Collect Like Terms
[tex]21y*\sqrt{y} *\sqrt[3]{2} * \sqrt{2}[/tex]
Represent in index form
[tex]21y*y^{\frac{1}{2}} *2^\frac{1}{3} *2^\frac{1}{2}[/tex]
Apply law of indices
[tex]21*y^{1+\frac{1}{2}} *2^{\frac{1}{3} +\frac{1}{2} }[/tex]
[tex]21*y^{\frac{2+1}{2}} *2^{\frac{2+3}{6}}[/tex]
[tex]21*y^{\frac{3}{2}} *2^{\frac{5}{6}}[/tex]
[tex]21(y^{\frac{3}{2}})(2^{\frac{5}{6}})[/tex]
Hence:
[tex]\sqrt[3]{2y^3} * 7\sqrt{18y} = 21(y^{\frac{3}{2}})(2^{\frac{5}{6}})[/tex]
Please help me ;-;
What's the next term?
0, 1/3
3, 2
6, 12
9, ?
(Above is supposed to be a table btw)
Answer:
72
Step-by-step explanation:
Based on the table, the left and the right side have a pattern. When 3 is added to the left side, the right side is multiplied by 6. Since 12 multiplied by 6 is 72, the missing number is 72.
3.2 geometry worksheet
Answer/Step-by-step explanation:
5. 21x + 4 = 22x - 2 (corresponding angles)
Collect like terms
21x - 22x = -4 - 2
-x = -6
divide both sides by -1
x = 6
6. (x + 72) + (x + 132) = 180 (linear pair)
x + 72 + x + 132 = 180
Add like terms
2x + 204 = 180
2x = 180 - 204
2x = -24
x = -12
7. 90 = 22x + 2 (vertical angles)
90 - 2 = 22x
88 = 22x
Divide both sides by 22
4 = x
x = 4
8. 12x + 10 = 13x + 3 (vertical angles)
Collect like terms
12x - 13x = -10 + 3
-x = -7
Divide both sides by -1
x = 7
9. 17x = 16x + 5 (alternate exterior angles)
17x - 16x = 5
x = 5
✔️17x
Plug in the value of x
17(5) = 85°
10. 21x - 6 = 20x (corresponding angles)
Add like terms
21x - 20x = 6
x = 6
✔️20x
20(6) = 120°
(-4x2 + 3x + 3) – (4x2 + 9)
Answer:
[tex]-8x^{2}+3x-6[/tex]
Step-by-step explanation:
The image below shows step-by-step on how to simplify the expression.
Hope this helps! :)
15.
enuse AC
Find the
In the accompanying diagram of right triangle RST,
altitude TP is drawn to hypotenuse RS. If TP = 6
and RP is 5 less than PS, find the length of
hypotenuse RS. [Only an algebraic solution will
be accepted.]
Someone help me please
Answer:
13
Step-by-step explanation:
Let PS = x and RP = x-5
Using Pythagorean theorem on the two smaller rt triangles formed,
6^2 + x^2 = (ST)^2
6^2 + (x-5)^2 = (RT)^2
Now use Pythag on big triangle and sub in above values:
(2x-5)^2 = 6^2 + x^2 + 6^2 + (x-5)^2
Multiply out and simplify to
x^2 - 5x -36 = 0
Factor the quadratic: ((x-9)(x+4)=0 Therefore x=9 or x=-4. We may disregard the negative answer so x = 9. So PS is 9 and RP is 4.
Therefore entire hypotenuse is 4 + 9 or 13.
please help. i have 20 minutes left
Answer:
You need to insert different x values and plot the point. So let's say x=1 the answer would be 10 and for 2 it would be 17
What is six fourths plus five tenths?
A. 11/10
B. 30/40
C. 3/4
D. 11/40
E. 2
F. 11/4
Answer:
e. 2
Step-by-step explanation:
please help me
find the slope and explain what the slope represents
write the equation of the line
what does the y-intercept represent
using the equation calculated the length of the spring when 15 ib. of the weight is attached
Answer:
Slope=2
y intercept= Length of spring without any weight
15 lbs= 38 inches
Step-by-step explanation:
slope=
18-12/5-2= 6/3 = 2
y intercept= 0=x and x=amount of weight
equation= 2x+8=y
2(15)+8=38
You randomly sample 8 graduate students from an NYU event. 5 of the 8 exhibit higher IQ’s than the median of the general population. The probability of obtaining this result by chance (if those graduate students do not differ in IQ from the general population) is
Answer:
The probability that five of the eight students exhibit an higher IQ than the median of the general population is 0.21875
Step-by-step explanation:
The given parameters are;
The number of students in the sample, n = 8
The number of the students, x, that exhibit higher IQ's than the median = 5
The probability of obtaining the given result by chance is given as follows;
P(x) = n!/((n - x)!x!) × pˣ × qⁿ⁻ˣ
The probability that a student exhibit higher IQ's than the median = 0.5 = p
Similarly, we have, the probability that a student exhibit lower IQ's than the median = 0.5 = q
Substituting the known values, gives;
P(5) = (8!/((8 - 5)!×5!)) × 0.5^(5) × 0.5^(8 - 5) = 0.21875
Therefor, the probability that 5 of the 8 students exhibit an higher IQ than the median of the general population, P(5) = 0.21875.
Which equation represents the line that is perpendicular to y = 1/4 and passes through (-6,-9)?
A.
x= -9
B.
x= -6
C. y=-9
D. y=-4
Answer:
I’m guessing D
Step-by-step explanation:
As the perpendicular would be -4 the negative reciprocal. I just worked out the whole equation including the point it passes.
Answer:
-6
Step-by-step explanation:
A little girl standing next to a telephone pole at 10 AM. The little girl is 4'6" tall and the telephone pole is 40 feet high. If the telephone pole cast 8 32 foot shadow, how long is a little girl shadow?
Answer:
The shadow of the pole is 1.2 feet long
Step-by-step explanation:
A little girl standing next to a telephone pole at 10 AM.
From the above question
Height of the girl = 4'6" tall = 4 feet and 6 inches tall
We convert to feet
= 12 inches = 1 foot
6 inches = x
Cross Multiply
12 × x = 6 × 1
x = 6/12 = 1/2 = 0.5 feet
Hence, the total height of the girl =
4 feet + 0.5 feet = 4.5 feet
The height of the telephone pole = 40 feet high.
The shadow of the telephone pole
= 8' 32 foot shadow
= 8 feet, 32 inches
We convert the inches to feet
12 inches = 1 foot
32 inches = x
Cross Multiply
12 × x = 32 × 1
x = 32/12 = 8/3 = 2.67 feet
Total length of the pole = 8 feet+ 2.67 feet = 10.67 feet
how long is a little girl shadow?
This is calculated using proportion
Shadow/Height
Shadow of the girl = x
Hence:
Shadow of the girl/Height of the girl = Shadow of the pole/Height of the pole
x/4.5 feet = 10.67 feet/40 feet
Cross Multiply
40 × x= 4.5 × 10.67
x = 4.5 × 10.67/40
x = 1.200375 feet
Approximately = 1.2 feet
Hence, the shadow of the pole is 1.2 feet long
Graph a line with a slope of 4 that contains the point (3,0)
Answer:
So the slope is rise over run. You need the y intercept and the slope to write an equation. To find the y intercept, use the formula : 0=4(slope)*3+b and you get 0=12+b then you subtract twelve from both sides, getting b=-12. Thats your y intercept. So your equation will be y=4x-12