Flying against the wind, a jet travels 2480 miles in 4 hours. Flying with the wind, the same jet travels 7040 miles in 8 hours. What is the rate of the jet in still air and what is the rate of the wind?
Answer:
The speed of jet in still air is 750 miles per hour and speed of wind is 130 miles per hour.
Step-by-step explanation:
Given that:
Distance traveled by jet against the wind = 2480 miles in 4 hours
Combined speed = [tex]\frac{Distance}{Time}[/tex] = [tex]\frac{2480}{4}[/tex]
Combined speed = 620 miles per hour
Distance traveled with wind = 7040 miles in 8 hours
Combined speed = [tex]\frac{7040}{8}[/tex]
Combined speed = 880
Let,
Speed of jet = x
Speed of wind = y
When jet travels against the wind, the speed will be subtracted
x-y=620 Eqn 1
When jet travels with the wind, the speed will be added
x+y=880 Eqn 2
Adding Eqn 1 and 2
(x-y)+(x+y)=620+880
x-y+x+y=1500
2x=1500
Dividing both sides by 2
[tex]\frac{2x}{2}=\frac{1500}{2}\\x=750[/tex]
Putting x=750 in Eqn 2
750+y=880
y=880-750
y=130
Hence,
The speed of jet in still air is 750 miles per hour and speed of wind is 130 miles per hour.
A middle school is selling candy bars to raise money for new calculators. The graph shows the number of candy bars sold, x, and the amount of money collected, y.
IM BAD AT PROPORTIONAL RELATIONSHIPS PLEASE HELP
Answer:
i will say Yes
Step-by-step explanation:
Answer:
I say yes
Step-by-step explanation:
This is because if you work it out step by step by step you will get the numbers equally
Aakash can complete a work in 10 days. If he worked for 4 days and
the remaining work is done by Safal, how much work is done by Safal?
Step-by-step explanation:
Hey there!
According to the question;
Aakash can complete a work in 10 days.
That means;
In 10 days Aakash can complete 1 work.
In 1 day Aakash can complete (1/10) work.
In 4 days Aakash can complete (1/10)*4 part of work.
Therefore, in 4 days he can complete 2/5 part of work.
After 4 days Safal had to work.
So, work left was 1 - (2/5) {work left = whole work - done work}.
[tex]1 - \frac{2}{5} [/tex]
[tex] = \frac{3}{5} [/tex]
Therefore, the work Safal had to do was 3/5 part of work.
Hope it helps....
URGENT!!!! HELP PLEASE!!!
Maya has a piece of fabric in the shape of a parallelogram. Its height is 12 feet and its base is 18 feet. She cuts the fabric into four equal parallelograms by cutting the base and the height in half. What is the area of each new parallelogram?
Answer:
I think its 54
Step-by-step explanation:
12 x 18 = 216 ÷ 4 = 54
What are the x - and y - intercepts for the graph of 2x - 5y = 10
Answer:
Step-by-step explanation:
2x-0=10
x=5
y=2
help me please on letter b
Ms. Ruiz bought 12 packages of plates for the party. Each package contains 15 plates. She bought 10 packages of small plates and 2 packages of large plates. How many small plates did she buy? How many large plates did she buy? How many plates did she buy all together
Answer:
a) 150 plates
b) 30 plates
c) 180 plates
Step-by-step explanation:
Given that:
She bought twelve (12) packages of plates for the party in which each package contains 15 plates.
Out of the 12 packages;
10packages are small plates & 2 packages are large plates.
a) The number of small plates she bought = 10 × 15 = 150 plates
b) The number of large plates she bought = 2 × 15 = 30 plates
c) The total number of plates she bought all together is:
= number of small plates bought + = number of large plates bought
= (150 +30) plates
The total number of plates she bought all together = 180 plates
Mr. Ramirez gave his class
40
40 minutes to read. Davida reads
28
1
2
28
2
1
pages in that time. At what rate, in pages per hour, did Davida read?
Answer:
38 pages per hour
Step-by-step explanation:
Rate of reading = [tex]\frac{\text{Total number of pages read by Davida}}{\text{Time taken to read}}[/tex]
By substituting the given values in the question,
Total number of pages read by Davida = [tex]28\frac{1}{2}[/tex] = [tex]\frac{57}{2}[/tex]
Time taken by Davida = 45 minutes
Since, 1 minute = [tex]\frac{1}{60}[/tex] hours
Therefore, 45 minutes = [tex]\frac{45}{60}=\frac{3}{4}[/tex] hours
Rate of reading = [tex]\frac{\frac{57}{2}}{\frac{3}{4} }[/tex]
= [tex]\frac{57}{2}\times \frac{4}{3}[/tex]
= 38 pages per hour
Therefore, rate of reading by Davida is 38 pages per hour.
How do I solve 6x—20=
Answer:
Can not be determined
Step-by-step explanation:
regularly, you would +20 to both sides, but without a full =, you cant solve. If the equation is 6x-20=0, x would equal 3 2/6.
Hope this helps!
How do I find the measurement indicated in each parallelogram.
Answer:
17) 23
18) 12
Step-by-step explanation:
17
x+15 = 7+2x
x-2x = 7-15
-x= -8
x=8
WX = x+15
= 8+15
= 23
18
2x = 3x-6
2x -3x = -6
-x = -6
x = 6
EF = 3x-6
= 3(6) -6
= 18 -6
= 12
Raisins cost $4 a pound and walnuts cost $8 a pound. Diego spent $15 on both ingredients.
You are eating a slice of pizza that has 391 calories in it. Each time you dip the pizza into ranch dressing, though, you add 7 calories to the total. If your meal wound up being 454 calories in total, how many times did you dip the pizza into ranch dressing? I don't get it
Answer:I think it is about 55 times
Step-by-step explanation:
Answer:
9 times
Step-by-step explanation:
The pizza has 391 calories in it, and everytime you dip it into ranch, you add 7 calories to the 391.
454(calories in total) - 391(calories in the pizza)= 63
63 ÷ 7(calories everytime you dip into ranch) = 9
Find the measure of angle B
Answer:
Step-by-step explanation:
Use the Law of Cosines for this. If we want the measure of angle B, then the equation is set up like this:
[tex]b^2=a^2+c^2-2accosB[/tex]
Filling in:
[tex]9^2=14^2+6^2-2(14)(6)cosB[/tex] and simplifying a bit:
81 = 196 + 36 - 168cosB and a bit more:
81 = 232 - 168cosB and even more:
-151 = -168cosB and divide both sides by -168 to get
.9378881988 = cosB
Now use the 2nd button on your calculator along with the cos button to find the missing angle. Make sure your calculator is in degree mode first. Your angle should be 20.30012152
What is the circumference?"
18 ft
Answer:
C=2πr
Step-by-step explanation:
C=2πr
Please answer the question below
Answer:
19
Step-by-step explanation:
FIND THE SLOPE of the line that passes through the points (1,-19) and (-2,-7). You do not need to write the whole equation
Answer:
Slope is -12
Step-by-step explanation:
change of y/change of x = -12
Answer:
-4
Step-by-step explanation:
(-19 + 7)/(1 + 2) = -12/3 = -4
The decimal 5.2323… is a(n) _____number.
rational
irrational
integer
whole
Answer:
it is a rational number
Answer:
rational
Step-by-step explanation:
infinite decimal
recurring decimal
integer
What is the graph of the given function?
f(x) = -2(x – 3)2 + 4
Graph
Answer:
the graph attached is the answer
Write the standard form of the line that contains a slope of −1/2 and y-intercept of 1. Include your work in your final answer. Type your answer in the box provided to submit your solution.
Answer:
x + 2y = 4Step-by-step explanation:
Slope-intercept form:
y = mx + bSlope is m = -1/2 and y-intercept is b = 1
The function is:
y = -1/2x + 1Standard form is:
Ax + By = CConverting the function into standard form:
y = -1/2x + 2 ⇒ 2y = - x + 4 ⇒ x + 2y = 4Answer:
Step-by-step explanation:
Slope-intercept form of y = mx + b
Slope is m = -1/2 and y-intercept is b = 1
The function is y = -1/2x + 1
y+1/2x=1
(2y+1x)/2=1
2y+x=2
x+2y=2
Grade 7 Unit 4 District Assessment 2020-21 Question: 1 Jacob saw a model of a building that will be built in his city. The model has a height of 40 centimeters and will be built to a scale of 1:50. What is the actual height of the building? (1 m = 100 cm)
Answer:
123334
Step-by-step explanation:
True or False: A prime number has exactly 2 factors
O True
O False
Answer:
I’d say false
Step-by-step explanation:
How many solutions does this equation have?
1/2+4x= -x+ 2
Answer:
x=3/10
x=0.3
10x=3
Step-by-step explanation:
A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to yellow?
Answer:2:5
Step-by-step explanation: you have 2 red marbles which is the numerator and 5 as the denominator because it is the bigger number .
HELP ME PLEASE!!!
GIVING OUT BRAINLIEST TO THE CORRECT ANSWER<3
Given = 1 (it is the given equation)
Addition property of equality = 2 (you add 2x to both sides)
Division property of equality = 3 (you divided both sides by 6)
Yasmin uses 4 cups of papaya juice for every 6 cups of pineapple juice. If Yasmi already has 24 cups of pineapple juice, how many cups of papaya juice will she need to make the fruit punch?
Answer:
Step-by-step explanation:
The ratio is 4:6 4 papaya to 6 pineapple
This turns out to be for every 1 cup of papaya juice you have 1.5 cups of pineapple juice.
If you have 24 cups of pineapple juice divide 24 by 1.5 to get 16 cups of papaya juice. 16:24.
Which of the following is NOT a rational number?
-4/7
3/5
(the symbol for pie)
2/3
Answer: (the symbol of pi)
Step-by-step explanation: Because if you divide each of those fractions only pi keeps in going without repeating itself.
IF 26% OF A NUMBER IS 65 ,FIND THE NUMBER ?
plzz ans!
Answer:
48.10 dollars
Step-by-step explanation:
I think JDJDKDIDID
Answer:
250
Step-by-step explanation:
Multiply 100 by 65 and divide that by 26.
63 divided by 4914
Answer:
1/78
Decimal form:
0.0 128205...
hope this helps!