Answer:
The two planes have traveled the same distance.
Step-by-step explanation:
Given that:
Velocity of first plane traveling north = 100 km/h
Time taken by the plane = 2.5 hours
Velocity of second plane traveling north = 62.5 km/h
Time taken by the plane = 4 hours
To find:
Which plane traveled longer distance?
Solution:
First of all, let us have a look at the formula for finding the distance using velocity and time.
Formula is:
[tex]Distance = Velocity \times Time[/tex]
Distance traveled by first plane:
[tex]Distance_1 = 100\times 2.5\\\Rightarrow Distance_1 = 250 \ km[/tex]
Distance traveled by second plane:
[tex]Distance_2 = 62.5\times 4\\\Rightarrow Distance_2 = 250 \ km[/tex]
Here, we can clearly see that:
[tex]Distance _1 = Distance _2[/tex]
Therefore, the two planes have traveled the same distance.
Mrs. Afonso is competing in a race in which she both runs and rides a bike. She runs 5 kilometers in 0.5 hours and rides her bike 20 kilometers in 0.8 hours. At the rate given, how many kilometers can she run in one hour?
Answer:
Step-by-step explanation:
If Mrs. Alfonso runs 5 km in 0.5 hours,
she will run 10 km in an hour
you invested $800 for 2 years at an interest rate of 4.5%. What was the interest earned on your investment?
Answer:
$72
Step-by-step explanation:
Interest = Principal(Rate)(Time)/100
Interest = $800(2)(4.5)/100
Interest = 7200/100
Interest = $72 (Answer)
N = {X:X
is an odd number, 21<x<3
XEN]
can you do this please
Answer:
x = 24
Step-by-step explanation:
ABCD is a parallelogram.
Angle B and Angle C are adjacent (successive) angles.
Adjacent angles of a parallelogram are supplementary.
Therefore,
[tex](5x) \degree + (2x + 12) \degree = 180 \degree \\ \\ (5x + 2x + 12) \degree = 180 \degree \\ \\ (7x+ 12) \degree = 180 \degree \\ \\7x+ 12 = 180 \\ \\7x = 180 - 12 \\ \\ 7x = 168 \\ \\ x = \frac{168}{7} \\ \\ x = 24[/tex]
[tex]\boxed{\pink{\sf\leadsto Value \ of \ x \ is \ 24^{\circ}}}[/tex]
[tex]\boxed{\pink{\sf\leadsto Value \ of \ \angle C \ is \ 60^{\circ}}}[/tex]
[tex]\boxed{\pink{\sf\leadsto Value \ of \ \angle D \ is \ 120^{\circ}}}[/tex]
Step-by-step explanation:A parallelogram is given to us . in which m ∠ B = 5x and m ∠C = 2x + 12 ° . And we need to find x .
Figure :-
[tex]\setlength{\unitlength}{1 cm}\begin{picture}(12,12)\thicklines\put(0,0){\line(1,0){5}} \put(5,0){\line(1,2){2}}\put(7,4){\line( - 1,0){5}}\put(2,4){\line( - 1, - 2){2}}\put(0,-0.4){$\bf A$}\put(5,-0.4){$\bf b$}\put(6.5,4.3){$\bf c$}\put(2,4.3){$\bf d$}\qbezier(4.4,0)( 4.5, 0.8)(5.22,0.54)\put(4,0.4){$\bf 5x$}\put(4.7,3.3){$\bf 2x + 12$}\end{picture}[/tex]
Q. no. 1 ) Find the value of x.
Here we can clearly see that ∠DCB and ∠ABC are co - interior angles . And we know that the sum of co interior angles is 180° .
[tex]\tt:\implies \angle DCB + \angle ABC = 180^{\circ} \\\\\tt:\implies (2x + 12)^{\circ} + 5x^{\circ}=180^{\circ} \\\\\tt:\implies 7x = (180 - 12 )^{\circ} \\\\\tt:\implies 7x = 168^{\circ} \\\\\tt:\implies x =\dfrac{168^{\circ}}{7} \\\\\underline{\boxed{\red{\tt\longmapsto x = 24^{\circ}}}}[/tex]
Hence the value of x is 24° .[tex]\rule{200}2[/tex]
Q. no. 2 ) Determine the measure of < C .
Here we can see that <C = 2x + 12 ° . So ,
[tex]\tt:\implies \angle C = 2x + 12^{\circ} \\\\\tt:\implies \angle C = 2\times 24^{\circ} + 12^{\circ} \\\\\tt:\implies \angle C = 48^{\circ} + 12^{\circ} \\\\\underline{\boxed{\red{\tt\longmapsto \angle C = 60^{\circ}}}}[/tex]
Hence the value of <C is 60° .[tex]\rule{200}2[/tex]
Q. no. 3 ) Determine the measure of < D .How you determined the answer .
Here we can clearly see that ∠D and ∠C are co - interior angles . And we know that the sum of co interior angles is 180° .
[tex]\tt:\implies \angle C + \angle D = 180^{\circ} \\\\\tt:\implies 60^{\circ} + \angle D = 180^{\circ}\\\\\tt:\implies \angle D = 180^{\circ} - 60^{\circ} \\\\\underline{\boxed{\red{\tt\longmapsto \angle D = 120^{\circ}}}}[/tex]
Hence the value of <D is 120° .what is the equation that passes through the point (3,-6) and has a slope of 3/4?
Answer:
lol
Step-by-step explanation:
Some oone idea about this ??
if the cost of 4 kg of rice is rupees 90,then how much rice is purchased with rupees 247.50
Answer: 11
Step-by-step explanation:
90 : 4 = 22.5
247.50 : 22.5 = 11
hope is helps * hugs ✨
Edward deposited $9,000 into a savings account 3 years ago. The simple interest rate is 5%. How much money did Edward earn in interest?
Please help im behind in math
Answer:
$12.664
Step-by-step explanation:
Greg and Kevin both travel between two towns that are 90 miles apart. Greg travels and it takes him 1 hour 30 minutes. Kevin cycles and it takes him 7 hours 30 minutes. Work out the difference between the average speed.
Answer:
48 miles/hour
Step-by-step explanation:
The average speed is the ratio of the total distance traveled to the total time taven, it i given by the formula:
Average speed = total distance / total time
For Greg, the total distance = 90 miles and the total time = 1 hour 30 minutes = 1 hour + (30/60) hour = 1.5 hours. Hence:
Average speed = 90 / 1.5 = 60 miles/hour
For Kevin, the total distance = 90 miles and the total time = 7 hour 30 minutes = 7 hour + (30/60) hour = 7.5 hours. Hence:
Average speed = 90 / 7.5 = 12 miles/hour
Difference between the average speed = 60 miles/hour - 12 miles per hour = 48 miles/hour
PLS HELP
identify the slope and the y-intercept in the following equation
y=1/2x+3
Line 1 y= -5/2x
Line 2 y= -5/2x +8
Which statement about the graph of the line is true
Answer:
They have the same slope
Step-by-step explanation:
Given
[tex]y = -\frac{5}{2}x[/tex]
[tex]y = -\frac{5}{2}x + 8[/tex]
Required
Determine the true statement about both lines
An equation has a general format of:
[tex]y = mx + b[/tex]
Where
[tex]m = slope[/tex]
By comparing this to the equations of both lines, we have that:
For line 1:
[tex]m = -\frac{5}{2}[/tex]
For line 2:
[tex]m = -\frac{5}{2}[/tex]
Compare the slopes of both lines, we have that:
[tex]m = m = -\frac{5}{2}[/tex]
Hence, we can conclude that both lines have the same slope
A baby was born with a weight of 5 pounds and then began to gain 1.25 pounds per month. Write an equation for W,W, in terms of t,t, representing weight, in pounds, of the newborn baby tt months after birth.
Answer:
1.25t+5
Step-by-step explanation:
periodpointblankWhat is the answer to y=-4/8x+9? PLEASE send your helping hands!!
Answer:
x=−2y+18
Step-by-step explanation:
if you want to graph it then click on the screenshot
(ps tell me if this helped)
Two teams competed to raise money. Team 1 initially had $25 and collected $5 per day. Team 2 initially had $51 and collected $3 per day. On which day did the teams have the same amount of money?
Answer:
Day 13
Step-by-step explanation:
If you add on both side 13 time you get 90
Damian bought a box of raisins that weighed 40 ounces. How many pounds of raisins did Damian buy?
2 1/2
3
3 1/2
4
Answer: Your asnwer is 2.5 lbs Can i have branliest?
Step-by-step explanation:
An oil-well contractor drills a shaft 7 meters deeper into the ground every 2 hours. Which graph has a slope that best represents this rate?
Answer:
Graph G
Step-by-step explanation:
The graphs are attached
Given that the oil-well contractor drills a shaft 7 meters deeper into the ground every 2 hours, hence the rate at which the shaft drills = 7 meter / 2 hours = 3.5 meters per hour
Since the drill goes into the ground, hence the rate is negative that is -3.5 meters per secong
The slope (rate of change) of a line (m) is given by:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
a) For graph F, the line passes through the point (0,0) and (10, -20). Hence:
[tex]Slope\ of\ line\ F=\frac{-20-0}{10-0} =-2\ meters\ per\ second[/tex]
b) For graph G, the line passes through the point (0,0) and (10, -70). Hence:
[tex]Slope\ of\ line\ G=\frac{-70-0}{10-0} =-7\ meters\ per\ second[/tex]
c) For graph H, the line passes through the point (0,0) and (10, -35). Hence:
[tex]Slope\ of\ line\ H=\frac{-35-0}{10-0} =-3.5\ meters\ per\ second[/tex]
d) For graph J, the line passes through the point (0,-3.5) and (10, -3.5). Hence:
[tex]Slope\ of\ line\ j=\frac{-3.5-(-3.5)}{10-0} =0\ meters\ per\ second[/tex]
Answer:The answer is H , It is the graph where -10 is right below the 0 on the y.
The audience thinks 30\%30%30, percent of Brandon's jokes are funny.
What fraction of Brandon's jokes does the audience think are funny?
Answer:
3/10
Step-by-step explanation:
Brandon's jokes does the audience think are funny = 30%
What fraction of Brandon's jokes does the audience think are funny?
Express the percentage as a fraction
= 30%
= 30 / 100
= 3/10
The fraction of Brandon's jokes that the audience think are funny is 3/10
What does this mean? Its REALLY important I get this right.
The correct answer is Option A
[△SRT]
Answer:
[tex]\triangle{SRT}[/tex]
Step-by-step explanation:
You can eyeball this question and you can easily see that [tex]\angle{R}=\angle{M}[/tex] and [tex]\angle{S} = \angle{N}[/tex] so then the answer would be [tex]\triangle{SRT}[/tex]
5. Which of the following equations is in standard form?
a. 2x = 7
b. -3x + 2y = 10
c. y - 3 = x
d. y + 5 = 4 (x - 4)
Answer:
the answer is B
Step-by-step explanation:
1000:150:600 simplified
Answer:
20:3:12
Step-by-step explanation:
1000:150:600
divide all the numbers by 50= 1000÷50 : 150÷50 : 600÷50
= 20:3:12
help me plz (geometry)
Answer:
I’m pretty sure it’s A
Line a passes through that point (-8,-7) and has a slope of 5/8. Choose the equation that best represents A
Answer:
y = 5/8 x -2
Step-by-step explanation:
Given that the slope of the line, m=5/8, which passes through the point (-8,-7).
Let the equation of the line be y=mx+c
where m is the slope of the line and c is a constant.
As m=5/8, so the equation of line become
y= 5/8x+c
As the line passes through the point (-8,-7), so putting y= -7 and x= -8, we have
-7 = 5/8(-8)+c
-7 = -5 + c
c= -7 + 5
c= -2
On putting the value of c, the equation of line become
y=5/8 x -2
Hence, the equation of the line is y = 5/8 x -2.
A cheetah can run a rare of 105,600 years per hour find the number of miles the cheetah could run at this rate in 5 minutes.
Answer:
360 yards per 5 minutes.
Step-by-step explanation:
A cheetah can ride up to 105,600 yards per hour.
An hour is equal to 60 km.
It can run up to 'x' miles per 5minutes.
So, 360 x 5/ 5
= 1800/5
= 360 yards per 5 minutes.
HOPE THIS HELPS !!
What value of b will cause the system to have
infinite number of solutions?
y=6x-b
-3x + y=-3
b=
O 2
O 4
O6
O8
9514 1404 393
Answer:
6
Step-by-step explanation:
The value of b that makes the two lines identical is the opposite of the y-intercept of the line.
y = 6x -6 . . . . has y-intercept = -6
The value of b is the number in the term -6, so is 6.
Multiply 2.3. (-1.2)
Answer:
-2.76
Step-by-step explanation:
2.3x(-1.2)
= -2.76
Sandy went to 20 baseball games this year. She went to 26 last year. How many baseball games did Sandy go to in total?
100 points please help
Answer:
d
Step-by-step explanation:
it is not the right graph
Answer:
THe answer is the 4th one/the graphed picture
Step-by-step explanation:
The reason is because the fourth picture is not correctly graphed
A bag of 12 apples is most likely to weight
Answer:2.5kg
Step-by-step explanation:
A computer company has 1030 computers in two different warehouses. Warehouse A has 150 more computers than Warehouse B. How many computers are in Warehouse B?
Answer:
880
Step-by-step explanation:
One-sixth of the 24 children in the park are playing soccer. How many children are playing soccer in the park?
Answer:
Step-by-step explanation:
children playing in park = (1/6)*24 = 4
One-sixth of the 24 children in the park are playing soccer. How many children are playing soccer in the park?
24 children (whole
12 children (half
8 children (third
6 children (quarter
4 children (sixth
Please help!!!!
Tom, Lisa, and Jane are competing in a cooking competition. They all used different amounts of sugar from a can containing 4 pounds of sugar. Tom used 13% of the total sugar in the can. Lisa used 0.6 pounds of the total sugar in the can. Jane used 0.12 of the total sugar in the can. Who used the greatest amount of sugar from the can? Show your work and explain your answer in words.
Answer:
13 x 4
100
= 0.52 so tom used the most
Step-by-step explanation: