Suppose that a storm front is traveling at 33 mph. When the storm is 13 miles away a storm chasing van starts pursuing an average speed of 54 mph. How long does it take for the van to catch up with the storm? How far have they driven? (Hint: we can let our two variables be x= distance and t= time. Additionally, [speed x time= distance]. Won’t the van catch up when the distances are equal?

Answers

Answer 1

Answer:

= 15mins 18 seconds. The storm chaser van drove 13.53 miles to catch up with the storm which obviously has moved less than 0.53 miles as it was same time but multiplied below by 0.5 per minute as speed per minute is 0.5 for the storm. See right at the end the storm only moved 1.11 mile.

Step-by-step explanation:

We count in 1 minutes

54 mph = 54/60 = 0.9 miles per minute

Storm = 13 m +  1 minute  is;

33/60 = 0.55 miles = 11/20

M = (16 7/10 * 9/10x) = ( 3 7/10 * 11/20y ) +13

M = 15 3/10x = ( 407/200y +13)       (407/200 = y starting value +13)

M = 15 3/10x =  15 3/10 = 16 7/10x (the same as 16 7/10* 9/10 for x)

M = 15 3/10 x = 15 3/10  = 15.03    

M = 16 7/10x  / 9/10y                      (is also the same as 186/1000)

X = 185⁄1000 = 37⁄200xy x 16 7/10  (as starting value)

7/10 of 60 = 42 minutes

3/10 of 60 = 18 minutes

x = 15 mins 18 seconds.

y = 15 mins  18 seconds.

as 0.005 left over for y 3/10 was actually 15.035 gives us 0.005 of 60 can not be rounded up to a second.

However as we started with 16mins and 7/10 we can see that we multiplied by 9/10 so when we divide 16 7/10 by 9/10 we find  185⁄1000 = 37⁄200

To equal the mileage of the storm of where we multiplied 3 7/10 by 17/10

= 37/200 just the same

We added 13 miles of the storm to find each was multiplied by the larger x sum 9/10 and y was multiplied  

As 35/200 + 13 =  

13 37/200  

37/200 of 60 = 11.1 = 11.06 minutes which is

= 15.04 % more for y as 13 + 2 mins + 06 seconds = 15.06 = 15.035

The percentage looks the same but valued different as 2 of 13 as a percentage is multiplied as 13 x 15.04%  to equal the 2 of 15 miles as 15.04%.

To find how many miles we go back and see 15.035 = 15 7/200

Then we multiply this by 0.9 miles for the storm van

= 15 7/200 x 0.9 = 13.5315 = 13.53 miles

For the storm itself we can prove 0.53  increase of mileage

417/200 x 0.53 = 1.10505 = 1.11 miles. rounded up


Related Questions

Part A: is x = 6 a solution of the equation 8x + 8 = 56? Explain. Part B: Suppose the solution of the equation stays the same. How would the right side need to change if the solution is now x = 9?

Answers

Answer:

Part A: yes . Part B: minus 24

Step-by-step explanation:

Part A

8x + 8 = 56

8x = 56-8

8x = 48

x = 48 / 8

x = 6 , YES!

Part B

Suppose x = 9 and find y:

8(9) + 8 + y = 56

80 + y = 56

y = 56 - 80

y = -24

So we have to add -24 to the equation. The new equation: 8x + 8 - 24 = 56

Subtract 5x2+2x-11 from 3x2+8x-7.Express the result as a trinomial.

Answers

Answer:

-2x^2 +6x +4

Step-by-step explanation:

3x^2+8x-7 -  (5x^2+2x-11)

Distribute the minus sign

3x^2+8x-7 -  5x^2-2x+11

Combine like terms

3x^2 - 5x^2+8x -2x+11-7

-2x^2 +6x +4

Rachelle is watching a bug crawl toward her on a sidewalk. As the bug gets closer to her, she stomps her foot to startle the bug, which becomes stationary for some time and then crawls away from her quickly. The graph shows the bug's distance from Rachelle.

What is the range of the graph?
please help this depends on my grade

Answers

Answer:

D) 100 ≤ y ≤ 400

Step-by-step explanation:  

Plato

30 points!

The table shows the number of miles driven over time. Express the relationship between distance and time in a simplified form as a unit rate.

Time (hours): 4, 6, 8, 10
Distance (miles: 188, 282, 376, 470

Answers

Answer:

47 miles per hour

Step-by-step explanation:

Answer:

The unit rate for the amount of miles driven every hour is is 1:47

Step-by-step explanation:

188 / 4 = 47

282 / 6 = 47

376 / 8 = 47

470 / 8 = 47

Note that the symbol / is the equivalent of a division sign in math.

Could u pls show me step by step

Answers

Answer:

Area = 36 sq. units

Step-by-step explanation:

The 3 values you need to solve for the area are the top base length, bottom base length, and height.

Top base length = 7 . It's the distance between point A and B.

Bottom base length = 11. It's the distance between points C and D.

Height = 4. It's the perpendicular distance from the top to the bottom base.

The formula to solve the area of a trapezoid (or trapezium, I'm American) is:

A = [tex]\frac{1}{2}h(b_{1} +b_{2})[/tex]

Put in the numbers above for the unknowns and you will get this:

A = [tex]\frac{1}{2}(4)(7 + 11)[/tex]

Simplify:

A= [tex]\frac{1}{2}(4)(18)[/tex]

A = 2(18)

A = 36

So the answer is 36. Hope I helped!

Answer:

36

Step-by-step explanation:

top base= B(x)-A(x)= 10-3= 7

bottom base= C(x)- D(x)= 12-1= 11

height= A(y) - D(y) = B(y)- C(y)= 5-1=4

Area= 1/2(7+11)*4= 36

which of the following describes the zeros of the graph...​

Answers

Answer:

d) 0 with multiplicity 3 , -3 with multiplicity 1 and - 6 with multiplicity 1

Step-by-step explanation:

Explanation:-

Given  polynomial equation  

                   ⇒        - x⁵ + 9 x⁴ - 18 x³

                    ⇒     - x³ ( x² - 9 x + 18 )

                    ⇒    - x³ ( x² - 6 x  - 3 x + 18)

                    ⇒    - x³ ( x(x -  6)  - 3( x - 6))

                   ⇒     - (x-0)³ (x-6)(x-3)

∴ The Zeros of the given function is 0 with multiplicity 3 , -3 with multiplicity 1 and - 6 with multiplicity 1

                       

Solve for x in the diagram below.

Answers

Answer:

x = 34

Step-by-step explanation:

The 3 labeled angles create a straight line, so that means they will add up to 180°.

(x + 12) + 100 + x = 180

2x + 112 = 180

Subtract 112 from both sides.

2x = 68

Divide both sides by 2.

x = 34

The value of x in the figure is, 34.

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

We know that;

A straight line make an angle 180°.

Hence, By the figure we get;

⇒ (x + 12)° + 100° + x° = 180°

⇒ x + 12 + 100 + x = 180

⇒ 2x + 112 = 180

⇒ 2x = 180 - 112

⇒ 2x = 68

⇒ x = 34

Learn more about the addition visit:

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What does measuring the spread of a data set tell us, and why is that significant?

Answers

Step-by-step explanation:

Measure of spread is used in describing the variability in a sample.

Examples of measure of spread are: Mean, Median and Mode.

A measure of spread helps in giving an idea of how well the mean, or mode, or median, whichever of the three measure of spreads we use, represents the data under consideration. If the spread of values in the data set is large, that means there a lot of variation between the values of the data set. It is always better to have a small spread.

Answer:

Measuring the spread of a data set tells us how far are the values of data set to respect the mean. For example, large mean absolute deviation (MAD) value indicates that the values of data set are very different from the mean, i. e., they are very spread. Therefore, the mean is not representative of the data. On the other hand, in a small spread case, the mean is representative.

Which two numbers... add to 5 and multiply to -14?

Answers

Answer:

-2 and 7

the only factors for 14 is 1,14 and 2,7 so you just see which has a difference of 5.

Hope this helps

Step-by-step explanation:

Should the graph of x+3y<-8 be shaded above or below the boundary line ?

Answers

Answer:

It will be below the boundary line

Which expression is equivalent to

Answers

Answer:

A. [tex]x^\frac{5}{3}y[/tex]

Step-by-step explanation:

how do you find volume if you only have the surface area

Answers


To find the volume of a cube from its surface area, first use the formula for surface area to find the length of one side of your cube. To do this, plug the surface area you're given into the formula, which is surface area = 6x^2, where x is the length of one side of the cube. Then, solve for x.

A new car is purchased for 15700 dollars. The value of the car depreciates at 7.5% per year. To the nearest year, how long will it be until the value of the car is 10100 dollars?

Answers

It would be about 5 years

It will take almost 6 years to depreciate the value of the car to 10100 dollars.

What is Depreciation?

Depreciation is a term used to indicate the decreasing value of an asset over time due to use, unfavorable market conditions and so on.

Initial amount of the car = 15700 dollars

Depreciating percent = 7.5% = 7.5/100 = 0.075

Final amount = 10100 dollars

Number of years taken to depreciate the value of the car to 10100 dollars can be found by the formula,

A = P(1 + r)ⁿ

where A = 10100 dollars, P = 15700 dollars, r = -0.075.

10100 = 15700 (1 - 0.075)ⁿ

10100 / 15700 = (1 - 0.075)ⁿ

0.6433 = (0.925)ⁿ

Taking logarithm on both sides,

㏒ 0.6433 = ㏒ (0.925)ⁿ

We have the power rule for logarithms, ㏒ (mⁿ) = n ㏒(m)

㏒ 0.6433 = n ㏒ (0.925)

n = ㏒ 0.6433 / ㏒ (0.925)

n = 5.658 ≈ 6 years

Hence almost 6 years will be taken to depreciate the value of the car to 10100 dollars.

Learn more about Depreciation here :

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The system of linear equations y = 2 x minus 1 and y = negative 4 x minus 1 is graphed below. What is the solution to the system of equations? (0, –1) (–1, 0) (0, 1) (1, 0)

Answers

Answer:

0,-1

Step-by-step explanation:

Answer:

It is (0,-1)

Step-by-step explanation:

I just did it no kapp

A triangle with angles of 30, 60, and 90 degrees is drawn. Could all three side measures be the same length? Explain. PLEASE HELP!

Answers

Answer:

No they would not because they are all different angles but if they were all the same numbers than yes so this triangle is a scalene that has no angles that are the same

-3x - 5=16 what does x equal?

Answers

Answer: -7

Step-by-step explanation:

-3x - 5 = 16 (add 5 to 16)

-3x = 21 (divide by -3)

x = -7

Answer:

-7

Step-by-step explanation:

-3x-5=16

add 5 to both sides

-3x=21

divide both sides by -3

x=-7

which of the following three sets of lens could be used to form a right triangle
39, 15 and 36 .
12, 8 and 4
.13, 17 and 9
Or none of the above

Answers

None of the above you can see that if you read the question carefully and I’ll help you

Answer:

(39, 15, and 36)

Step-by-step explanation:

If your talking about the first number being the hypotenuse, then the answer  would be correct

Susanna is buying lunch for her friends at a restaurant the bill is $50 and she wants to leave an 18% tip P equal the total amount of Suzanne is P which equation can you use to find P

Answers

Hope I helped you

And also rate it if it helps

can anyone rewrite quadratic function in standard form?

Answers

Answer:

hey I believe standard form would look like this:  f(x) = a(x - h)^2 + k

this is regular form f(x)=ax^2+bx+c or something like x^2+4x+4.

I think H and K are the vertex

hope this is close to what your looking for.

Step-by-step explanation:

I think it's x^2+6x-18

Quadratic function in standard form should be f(x)=a(x-h)^2+k

Solve the equation. Then check your solution.
n/54 = 4/9
a. 24
b. 2/3
c. 6 4/9
d. 121 1/2

Answers

the answer is 24 because,

[tex] \frac{24}{54} = \frac{4}{9} \\ we \: have \: to \: cancel \: with \: 6 \\ \frac{4}{9} = \frac{4}{9} [/tex]

hope it helped :-)

f(h) = 45+
20
h +0.5
g(h) = 45 + 33(0.5) (h+0.5)

Answers

Steps:

Question 1:

Step 1: Multiply both sides by h+0.5.

Step 2: Factor out variable f.

Step 3: Divide both sides by h^2+0.5h.

Question 2

Let's solve for g.

Step 1: Divide both sides by h.

Answers:

1: f=45h+42.5/h²+0.5h

2: g=16.5h+53.25/h

Please mark Brainliest

Hope this helps.

Type the slope-intercept equation of the line that passes through the points (5,7) & (0,6)

Answers

y= 1/5x + 6

How?

(Look at image. The app is called Desmos)

When solving the equation 3(x – 7) = 2 – x, the property used in the first step is the Question 17 options: A) multiplication property of equality. B) symmetric property. C) distributive property. D) addition property of equality.

Answers

Answer:

C) distributive property

Step-by-step explanation:

3(x – 7) = 2 – x

first step is:

3(x-7)= 3x -3*7

this is called distributive property

To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together

Answer:

Distributive property

Step-by-step explanation:I took the test

What is m Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

I don't say u must have to mark my ans as brainliest but if u think it has really helped u plz don't forget to thank me...

So the value of X is 50 degree

Look at the attached picture

Hope it will help you

Good luck on your assignment...

Can someone help me with this question?

Answers

Answer:

nope

Step-by-step explanation:

lol this is a joke dont take it srsly

у= 6x - b
—3х +1/2y= -3

Answers

Answer:

You have to use the subsitution method

Step-by-step explanation:

so it's telling you what the y value is an you have to subsitute 6x-b where the y is.

so the new eqaution would be -3x+1/2(6x-b)=-3

-3x+3x-b=-3

-b=-3

b=3

the b is the in y=x+b

A rectangular piece of paper has a width that is 3 inches less than its length. It is cut in half along a diagonal to create two congruent right triangles with areas of 44 square inches. Which statements are true? Check all that apply.

Answers

Answer:

A is TRUE (44 in²*2=88 in²)

B is FALSE x(x-3)=88 (the rectangle) or x(x-3)/2=44 (the triangle)

C is TRUE if x(x-3)=88==>x²-3x-88=0

D is TRUE :

x²-3x-88=0

Δ=9+4*88=361=19²

==>x= 11 or x=-8 (excluded for <0)

E is FALSE for 11*4≠88

Step-by-step explanation:

correct me if i am wrong

A,C, D.

because i got it right!

∠a and ∠b are complementary angles. ∠a measures 55 degrees
What is the measure of ∠b?

Answers

Answer:

<b = 35

Step-by-step explanation:

Complementary angles add to 90 degrees

a + b = 90

55 + b = 90

Subtract 55 from each side

55+b-55 = 90-55

b = 35

Answer:

<b=35

Step-by-step explanation:

Complementary means 90 degrees

and 90-55= 35 degrees

The radius of a circle is 9 ft. Find its area in terms of pi

Answers

Answer:

81pi square feet

Step-by-step explanation:

Area of circle is pi*r^2

= 81pi

Answer:81 pi ft^2

Solution,

Radius=9 ft

Area of circle= pi*(r)^2

=pi*(9)^2

=81 pi ft^2

Hope it helps

Good luck on your assignment

In the United States, the average public school teacher currently earns an annual salary near $55,202. Reported national average salaries for the last six decades are listed below.

Year National Average

Teachers’ Salary
1960 $4,995
1970 $8,626
1980 $15,970
1990 $31,367
2000 $41,807
2010 $55,202
Determine the median in the national average teachers’ salary between the years 1960 and 2010.

$8,626.00
$50,207.00
$15,970.00
$23,668.50

Answers

Answer:

$23,668.50

Step-by-step explanation:

Median is just the middle

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