The speed limit on a road drops down to 15 miles per hour around a curve. Mr. Gerard slows down by 10 miles per hour as he drives around the curve. He never drives above the speed limit. At what speed (s) was Mr. Gerard driving before the curve? Write and solve an inequality

Answers

Answer 1

Answer Mr. Gerard speed was at most 25 miles per hour before the curve

Step-by-step explanation:

How to solve the speed Mr. Gerard was driving before the curve

Let’s just assume that Gerard went exactly the speed limit 15 miles per hour (mph) after when he slowed down by 10 miles per hour and drove around the curve. The reason why I’m using exactly 15mph is because it’s the max speed he can go. He can go 15 miles per hour and still be safe, but it’s just that he can’t go any faster than that.

Now, you can do 15 + 10 to find the speed he went before he drove around the curve. So, that would be 25mph before he drove around the curve.

You might be asking: What if he went slower than 25mph before he drove around the curve, and what if he went faster than 25mph?

-When he drives exactly 25mph and slows down by 10mph when he makes the turn around the curve, he’s going exactly 15mph which it safe for him because it’s not faster than 15mph.

-It could be possible that he went slower than 25mph before he drove around the curve, but he still will be safe because when he makes the turn around the curve and slows down by 10 miles per hour, now he’ll reach below 15 miles per hour which is even safer for him. Here’s an example for you to understand: Let’s say he drove 23mph before the curve (which is less than 25mph). As soon as he makes the turn around the curve, he slows down by 10mph. So after he goes around the curve, he’s going 13mph, which is less than the speed limit 15mph. You can take any number less than 25mph and he’ll still be safe because it will be less than 15mph.

-Now, if he went faster than 25mph, he wouldn’t be safe anymore because after when he slows down by 10mph and goes around the curve, he’ll be above the speed limit of 15mph. Here’s an example for you to understand: Let’s say he drove 27mph before the curve (which is faster than 25mph). As soon as he makes the turn around the curve, he slows down by 10mph. So after he goes around the curve, he’s going 17mph, which is faster than the speed limit 15mph.

Answer: Mr. Gerard speed was at most 25 miles per hour before the curve

Graphing it

A way to graph this is to write out a compound inequality. You can write it as:

0 < y ≤ 25  ⇒ Where any speed has to be less than or equal to 25 miles per hour, because 25 miles per hour is the most/biggest speed Mr. Gerard can drive. But it has to be greater than 0 because you can’t go negative miles per hour, or 0 miles per hour

The graph is shown below ↓

I don’t know what graph you want, or how your teacher wants you to graph it. So I put two options for you :)

I hope you understand and that this helps with your question! :)


Related Questions

If the area of a square table is 392 sq.ft. what is the length of each side?

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Answer:

multiply 392 by 4 that should be your answer

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

*If diagonal of a square is of length 10√2 cm then the perimeter of square is ...............cm.*

1️⃣ 40
2️⃣ 10
3️⃣ 30
4️⃣ 50​

Answers

Answer: 1️⃣ 40

Step-by-step explanation:

x - is the side of the square

[tex]x^{2} +x^{2} =(10\sqrt{2})^{2} \\2x^{2}} =200\\2x^{2} \div 2=200 \div 2 \\x^{2} =100\\x=\sqrt{100} \\x=10 \: [cm] - side \: of \: a \: square[/tex]

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Perimeter of the square = 4 × 10 cm = 40 cm

Find x given Circle P.
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Answers

Answer:

360 - 60 = 300

x = 300

Step-by-step explanation:

Answer is x=300 thank me later

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Algebra.

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The answer is c because it starts from negative 3 and moves up 7 times and then 2 times to the right.

What is the distance between the points? Round to the nearest tenth if necessary

Answers

Answer:

5

Step-by-step explanation:

Pythagorean Theorem States: [tex]x^{2} +b^{2} = c^{2}[/tex]

[tex]3^{2} + 4^{2} = c^{2}[/tex]

9+16=25

[tex]\sqrt{25}[/tex]=5

Help me find the measure of each numbered angle please!

Answers

Answer:

Hope this helps

Step-by-step explanation:

Suppose that 8 machines can complete a certain task in 9 days. if there are 18 machines, how many days would it take for them to finish the same task?

Answers

Answer:

It would require 4 days.

If there are 18 machines. Then the number of days would it take for them to finish the same task will be 4 days.

What is Algebra?

Algebra is the study of graphic formulas, while logic is the interpretation among those signs.

Time is inversely proportional to the number of the machines.

T ∝ 1/M

If the proportionality is removed, then a constant k is introduced.

Suppose that 8 machines can complete a certain task in 9 days.

Then the amount of the total work that is k will be

k = 8 x 9

k = 72

If there are 18 machines.

Then the number of days would it take for them to finish the same task will be

T = 72 / 18

T = 4 days

The number of days would it take for them to finish the same task will be 4 days.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Find the value of x


BRAINLEST I SWEAR TO GOD


What is the root ?!

Answers

9514 1404 393

Answer:

  x = √70

Step-by-step explanation:

The right triangles are all similar, so we can write the ratio of long side to hypotenuse as ...

  x/(7+3) = 7/x

  x^2 = 7(10) = 70

  x = √70

_____

Additional comments

This is called a "geometric mean", where x is the square root of the product of two numbers, 7 and 10. Those happen to be the lengths of the adjacent segment of the hypotenuse and the whole hypotenuse.

The same relation holds for BC:

  BC = √(CD·CA)

__

A slightly different geometric mean relation holds for the altitude BD:

  BD = √(DC·DA)

On a trip. Joel drove 24 miles more than Rita drove. Together they drove 340 miles.
How many miles did Joel drive?
O A 158
0
B. 182
194
D. 316

Answers

Answer:

194

Step-by-step explanation:

you would do 340 divided by 2 and that gets you 170 then you would subtract 24 from Rita and that is 146 so Rita drove 146 miles. then for Joel you add 170 +24 = 194. So Joel drove 194 miles.

hope this helps

194 I hope this helps

Select ALL the correct answers.

Which equations have a greater unit rate than the rate represented in the table?

Y= 5/7x
Y= 3/4x
Y= 1/3x
Y= 7/9x
Y= 7/11x

Answers

Answer:

y = 5/7 x

y = 7/9 x

y = 3/4 x

Step-by-step explanation:

Firstly, let us get the unit rate on the table

That would be;

y/x = 2/3

y = (2/3)x

so the fractions greater than 2/3 will

be our answer

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7/9 is greater

5/7 is greater

Please help me find the value of x the answer must be exact

Answers

Answer:

[tex]x=11[/tex]

Step-by-step explanation:

This is a 45°-45°-90° triangle. The two legs are the same length, and the hypotenuse is that length times the square root of two:

[tex]leg=x\\hypotenuse=x\sqrt{2}[/tex]

Therefore, the value of x is 11.

You can double-check using the sine ratio:

[tex]sineX=\frac{opposite}{hypotenuse}[/tex]

Insert the values:

[tex]sin45=\frac{x}{11\sqrt{2} }[/tex]

Insert the equation into a calculator:

[tex]x=11[/tex]

:Done

*It's important to know that, when working with trigonometry ratios, the hypotenuse is never considered the adjacent or opposite side, and the 90° angle is never used in the ratios.

Match the numbers with the correct label.

Answers

how are we suposed to do this

The marked price of a watch is Rs.2700. If the percentage of discount given on marked price is twice of the percentage of VAT and the value of the watch after adding VAT is Rs.2376.Find the rate of VAT

Answers

Answer:

24%

Step-by-step explanation:

Step one:

given data

The marked price of a watch is Rs.2700

The value of the watch after adding VAT is Rs.2376

let us find the discount

= 2700-2376

=324

then the percentage discount is

=324/2700*100

=0.12*100

=12%

The VAT is twice the discount, the VAT is 12*2= 24%

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Use a graph to solve the following
243=3^x+^3

Answers

Answer:

They all have equal bases.

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

x=5

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Step-by-step explanation:

please help and show work if you can​

Answers

Answer:

7.  x = 5

8. x = 2, y = 6

9. x = 21, y = 39

Step-by-step explanation:

For a parallelogram, the lengths across intersection are equal.

7. For a parallelogram, the lengths across intersection are equal.

So that,

3x = 4x - 5

4x - 3x = 5

 x = 5

8. For a parallelogram, the lengths across intersection are equal.

So that,

2x = 4

x = [tex]\frac{4}{2}[/tex]

x = 2

and

y - 1 = 2y -7

7 - 1 = 2y - y

y = 6

x = 2, y = 6

9. For a parallelogram, opposite angles have equal value.

Thus,

3x = (4x - 21)

3x = 4x - 21

x = 21

and

3y = (y + 78)

3y = y + 78

3y - y = 78

2y = 78

y = [tex]\frac{78}{2}[/tex]

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y = 39

x = 21, y = 39

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PLEASE HELP ASAP! 40 POINTS!

Answers

Answer: (16/25)

Step-by-step explanation: That's -(4/5) x -(4/5) = (16/25). It's that answer because a negative times a negative equals a positive. The exponent in the problem is telling you to multiply -4/5 times itself 2 times.

UMS Grade 7 Math CUA- Unit 4 / 6 of 10
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O A $16.27
O B. $17.08
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Answers

B because 48.80*0.35=17.08

1.
We want to solve the following system of equations using the substitution method.
Equation 1
y = 4x + 17
Equation 2
y = 2x + 7

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Answers

Answer:

2x + 7= 4x + 17

x=−5

Mr. Martin and his son, Luke, decide to walk a 12
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as Mr. Martin.

Answers

Answer:

4km/h

Step-by-step explanation:

we have the dad walking 3 km per hour but he had a headstart menaing he has 4 hours to do it, 3 times 4 is 12. now we have the son doing 12 kilometers in 3 hours so we divide 12 by 3 meaning he has to be going at a pace of 4 km per hour.

Answer:

It will take Mr. Martin 4 hours to walk the trail, and Luke should walk faster than Mr. Martin. Using the equation 12 = (3)(x), Luke should walk 4 km/hr to finish the trail in 3 hours.

Step-by-step explanation:

This is the sample on Edge.

Hope this helped!! :)

Brainliest?!?!

Stay safe and have a wonderful day/afternoon/night!!!

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4d + 8

Answers

Answer:

4  ( + 2 )

Step-by-step explanation:

Answer:

i am going to assume 4d+8=0 so 4d=-8 and  d=-2

Step-by-step explanation:

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Answers

Answer:

1. x= -20

2. x= 6.33

Step-by-step explanation:

Question 1:

10=7

x=x+6

(Cross multiply)

10(x+6)=7x

10x+60=7x

10x-7x=-60

3x=-60

x=-60/3= -20

Question 2:

6=4

8=x-1

(Cross multiply)

6(x-1)=4×8

6x-6=32

6x=32+6

6x=38

x= 6.33

hope it helps! please mark me brainliest

thank you! have a good day ahead

15 pointsss

The wholesale price of a dress at Macy's is $250 before they markup the product by 3/4. Sally, a customer, purchases the dress using a coupon giving her 1/5 off of the dress. How much does she pay after markup and discount is applied?

A. $200
B. $87.50
C. $250
D. $350

Answers

The answer to this question is option B

Please help, thank you! What is the difference between the probabilities of 4/4 and 100%?
(no choices)

Answers

Answer:

There is no difference

Step-by-step explanation:

because they are both equal to a 100% chance of that makes sense

hope that helps:)

Pls help it due soon.
Pls show workings
Pleaseeeeeeeeee

Answers

Answer:

[tex]\mathrm{D.\:}14<x<32[/tex]

Step-by-step explanation:

In any triangle, the sum of any two sides must be greater than the other side. Therefore, in the given triangle with side lengths [tex]9[/tex] and [tex]12[/tex], we can write the following inequalities:

[tex]\begin{cases}(x-2)+9>21,\\21+9>(x-2)\\\end{cases}[/tex]

Solving these inequalities, we get:

[tex]x-2>12,\\x>14\\\\30>x-2,\\x<32[/tex].

Combining this into one inequality gives us:

[tex]\mathrm{D.\:}14<x<32[/tex].

Solve the following quadratic equation for all values of x in simplest form.

Answers

Answer:

[tex]x=\sqrt{7},\:x=-\sqrt{7}[/tex]

Step-by-step explanation:

Start by rewriting the equation to standard form [tex]ax^2+bx+c=0[/tex].

[tex]5(x^2-10)+5=-10,\\5x^2-50+5=-10,\\5x^2-35=0[/tex].

Factor out the 5, then isolate [tex]x^2[/tex]:

[tex]5x^2-35=0,\\5(x^2-7)=0,\\x^2-7=0,\\x^2=7,\\x=\pm \sqrt{7}.[/tex].

Therefore, the solutions to this quadratic are:

[tex]x=\sqrt{7},\:x=-\sqrt{7}[/tex]

What is the equation of the ellipse with major vertices at (-6, 0) and (6, 0) and minor vertices at (0, 3) and (0, -3)?

Answers

Answer:

b

Step-by-step explanation:

Pls help and show workings pls
It due ASAP
please

Answers

Answer:

C. ASA

Step-by-step explanation:

2 sides & 2 angles are equal as given.

Other 2 angles are equal on basis of vertical angles

Please help I have 5 mins left :(

Answers

Answer:

2/10

Step-by-step explanation:

If you are trying to find out the probability of a number just know that the whole number is always going to be the denominator. In this problem, the denominator is 10 because that is the whole number of pieces of paper.

Then we look at the second part of the problem where it is asking us to figure out the probability of pulling out a number that is less than 3 which would only leave us  with 1-2

This means that the probabilaty of pulling out a number less than 3 is 2/10

Answer:

2/10

Step-by-step explanation:

This has to deal with probability.

If you are going to choose a number less than 3, this makes the problem in which that 2/10 of the results would occur.

This is simply because the value of 1 and 2 are the only numbers smaller than 3.

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