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

IS 3.
3y-2x
loss
Percentage loss =
X 100%.
selling price
is
Choose the correct answer from the given four alternaives.
In a school, 58% of the total numbers of students are boys. If the
number of girls is 840, how many students are there in the class?
a. 2000
b. 1800
C. 1500
d. 2100
Birr 300 is invested at 6% simple interest per annum. How long will it
take for the interest to amonut Birr 180?
a. 12 years
b. 10 years
c. 8 years
d. 24 years
The decimal form of 672.937% is
a.6.72937
d. 6729.37
b. 67.2937
c. 672.937
9. The simple interest on Birr 400 invested for 4 months was Birr 12.
What is the annual (yearly) rate of interest?
d) 9%
a. 36%
b. 4.8 %
c. 7%​

Answers

Answer:

1. a. 2,000

2. b. 10 years

3. a. 6.72937

4. d. 9%

Step-by-step explanation:

1. If 58% are boys, the percentage of girls is:

= 100 - 58

= 42%

That means 840 is 42% of the students in class. The students in class are therefore:

= 840 / 42%

= 2,000 students

2. If Birr 300 is invested at 6% per year, the amount in interest it earns per year is:

= 300 * 6%

= Birr 18

To get to Birr 180, it would take:

= 180/18

= 10 years

3. When a number is in percentage that means that it is a fraction with the denominator being 100. The number is decimal will therefore be it divided by 100:

= 672.937/100

= 6.72937

4. The investment accrued Birr 12 out of Birr 400 in 4 months. This means that it increased by:

= 12/400

= 3%

A year can be divided into three by 4 months. This means that the yearly rate is therefore:

= 3% * 3

= 9%

please help with thisss​

Answers

Answer:

11, 17

Step-by-step explanation:

The difference between -7 and -1 is +6, and -1 and 5 is +6 as well. So 5+6 = 11

and 11 + 6 = 17

its 11, 7 :)) i checked

Jose found 14 shells in the beach. He lost the same amount as he has left. Write the doubles addition fact Jose can use to find the number of shells Jose has left.

Answers

Answer:

7

Step-by-step explanation:

Number of shells found = 14

Number of shells lost equals number of shells left :

Let Number of shells lost = x

Using the relation:

Number of shells lost = Number of shells left

x =number of shells found - number of shells lost

x = 14 - x

x + x = 14

2x = 14

x = 14 / 2

x = 7

Number of shells left = 14 - x = 14 - 7 = 7

Simplify.

(x2+x−1)+(2x2−3x+9)

Answers

Answer:

32−2+8

Step-by-step explanation:

Eliminate redundant parentheses

thats the answer simplified

Which row in the table is closest to the actual solution?
Var +3
+2
0
2
2.7321
L79
0.1
20196
02
2.8139
2.0385
03
1.897
20566
0
1.9494
2011
05
2
2.0909
0.6
20194
21071
0.7
2.0976
21208
21379
0.8
21418
21909
21595
1.0
2.2361
2.1667

Answers

Answer:

0.8= 2.1448=2.1379

Step-by-step explanation:

Answer:

0.8/2.1448/2.1379

Step-by-step explanation:

I got right(Plato/Edmentum

Does anybody know answer to this plsssss

Answers

9514 1404 393

Answer:

  (a)  4(2x^5 +x^2 -3)

Step-by-step explanation:

The only common factor is 4. That factor must be removed from every term to find the expression that goes inside parentheses.

  8x^5 +4x -12 = 4(2x^4 +x -3)

–15 = a/5
A. a = –3
B. a = –20
C. a = –10
D. a = –75

Answers

Answer: a = -75

Step-by-step explanation:

i just multiplied both sides by 5, in order to get "a" by itself.

-75 = a

then, just for kicks, we switch it around so that the variable is in front.

a = -75

To figure out a special number, Tammi’s mother was supposed to double her age and then add 4. Instead, Tammi’s mother added 4 to her age and then doubled that number. Tammi’s mother thought the special number was 80. What was the special number supposed to be?

Answers

Answer:

Step-by-step explanation:

36 plus 4 x 2 = 80 what her mom got but it’s 76 because 36x2 is 72 and 72 plus 4 is 76.

Solve the inequality 3x-1 < 2x+5​

Answers

Answer:

x<6

Step-by-step explanation:

Solve for x

by simplifying both sides of the inequality, then isolating the variable.

Inequality Form:

x<6

HELP PLEASE I ONLY HAVE 10 MINUTES LEFT I WILL MARK BRAINLIEST ANSWER
Which equation results from adding the equations in this system?
11x-3y=-17
-4x+3y=-18
A -7x= -35
B -7x= 35
C 7x= -35
D 7x= 35​

Answers

adding 11x and -4x makes it 7x

adding-3y and 3y cancels it out so your left with nothing

adding a negative and a negative keeps it a negative so its 18+17 making it -35

so the answer is C

A satellite photographs a path on the surface of the Earth that is 600 miles wide. Find the central angle that intercepts an arc 600 miles on the surface of the Earth​ (radius 3950​ miles).

WILL MARK BRAINLIEST

Answers

9514 1404 393

Answer:

  The central angle is about 8.7°.

Step-by-step explanation:

The relation between angle and arc length is ...

  s = rθ

where r is the radius, and θ is the central angle in radians.

  600 = 3950·θ

  θ = 600/3950 radians = (12/79)(180°/π)

  θ ≈ 8.7°

Find the unknown sides and angles of this triangle using the Law of Cosines.
Round to the nearest hundredth.
Now, I know side C is 10.35, but I couldn't get the angles for A or B. I'm uncertain if this is a bug or what, but could someone help me out? I'd appreciate a well written explanation as well.

Answers

Answer:

side c-10.35 Angle a-50.88 Angle B-94.12

Step-by-step explanation:

I found the answers on a khan academy thing. I just took the quiz and got a 100%

14. Max wants to buy some shorts that are
priced at $8 each. He decided to buy a pair
of sneakers for $39, but the total cost of the
shorts and the sneakers must be less than $75.
a. Write an inequality to find out how many
pairs of shorts Max can buy.
b. Suppose that Max wants to buy 6 pairs
of shorts. Will he have enough money?
Explain.
c. Solve the inequality to find the greatest
number of pairs of shorts that Max can buy.
Show your work.

Answers

Answer:

A. ($39)+(8)+(8)+(8)+(8)=71

Therfore he can buy 4 pairs of shorts.

B. No, if he wanted to buy 6 pairs of shorts it would be $87.00 with the sneakers. If he wanted to buy the shorts by themselves then it would only be $48.00 WITHOUT the sneakers.

C. The most amount of shorts he can buy would be 4 WITH the sneakers.

Step-by-step explanation:

Hope this helps. Not sure if right or not but when i was typing it out it made sense. Goodluck! brainliest?

Please help I don’t know what the answer is

Answers

Answer:

its C

Step-by-step explanation:

Shannon bought 518 pounds of apples. Bill bought 278pounds of apples. Which most closely estimates how many more pounds of apples Shannon bought than Bill?

Answers

Answer:

240 pounds.

Step-by-step explanation:

Given that,

Shannon bought 518 pounds of apples.

Bill bought 278 pounds of apples.

We need to find how many more pounds of apples Shannon bought than Bill.

More Apples = Shannon Apples - Bill Apples

= 518 - 278

= 240

Hence, 240 pounds of apples Shannon bought than Bill.

In 1989, a baseball card was purchased for $6. Today, the value of the baseball card has increased by 425%. What is the current value of the baseball card?

Answers

Answer: $31.50

Step-by-step explanation:

We are told that the price of a baseball card was purchased for $6 but that the value of the baseball card has increased by 425%.

The current value of the baseball card would be:

= $6 + (425% × $6)

= $6 + (425/100 × $6)

= $6 + (4.25 × $6)

= $6 + $25.5

= $31.50

If x = 3 and y = 8 , evaluate the following expression: y − x

Answers

Answer:

5

Step-by-step explanation:

y-x

8-5 = 5

The value of the expression y - x is 5.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

y - x

The value of y - x when x = 3 and y = 8.

= y - x

= 8 - 3

= 5

Thus,

The value of the expression is 5.

Learn more about expressions here:

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Scientists are drilling a hole in the ocean floor to learn more about the Earth's history Currently, the hole is in
the shape of a cylinder whose volume is approximately 4200 cubic feet and whose height is 4.3 miles. Find
the radius of the hole to the nearest hundredth of a foot. (Hint: Make sure the same units of measurement are
used.)
The radius of the hole is
feet. (Round to the nearest hundredth.)

Answers

Answer:

The radius of the hole is 0.24 feet

Step-by-step explanation:

Firstly, we need to convert the miles to feet

Mathematically;

1 mile = 5,280 feet

4.3 miles is thus;

4.3 * 5,280 = 22,704 feet

Mathematically, the volume of a cylinder is;

V = pi * r^2 * h

here, we want to get r

4200 = 3.142 * r^2 * 22,704

r^2 = 4200/(3.142 * 22,704)

r = 0.24 feet

-X + 5 = 1
What is the answer for this equation and the steps

Answers

Answer:

x=4

Step-by-step explanation:

-x=1-5 (subtract 5 from both sides to isolate the x variable)

-x= -4 (1-5= -4)

x=4  (divide both sides by -1 so the x will not be a negative.)

Therefore, your answer will be x=4. Hope this helps! :)

Answer:

4

Step-by-step explanation:

First, let's move "+5" on the other side. We should change "+" on "-":

-x=1-5

1-5=-4:

-x=-4 |• (-1)

x=4

h + 13.4 = -13.4

h = ?

Answers

I think it is -26.8

what two numbers can multiplied together and get 24 and those same two numbers get added to each other and get -4?

Answers

8x3 = 24..................

Solve the following multi-step equation: 4(2 - 4x) - 3x = 65

Answers

Answer:

x = -3

Step-by-step explanation:

4(2 - 4x) - 3x = 65

Distribute the 4.

8 - 16x - 3x = 65

Combine like terms.

8 - 19x = 65

-19x = 57

Divide by -19 to isolate x.

x = 57/-19

x = -3

Check.

4(2 - 4(-3)) - 3(-3) = 65

4(2 - (-12) + 9 = 65

4(14) + 9 = 65

56 + 9 = 65

65 = 65

The solution of the given linear equation 4(2 - 4x) - 3x = 65 is  -3.

Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.

Example = 2x +4 = 12

here, 4 and 12 are constants and x is variable.

The solution of the equation 4(2 - 4x) - 3x = 65 is calculated as:

4(2 - 4x) - 3x = 65

Multiply the expressions inside the brackets,

8 - 16x -3x = 65

8 - 19x = 65

Subtract 8 from both the sides,

-19x = 65- 8

-19x = 53

Divide both side by -19

[tex]x = \dfrac{-53}{19}[/tex]

Thus, the value of x is -3.

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Your mother takes you to your grandparents' house for dinner. She drives 60
minutes at a constant speed of 40 miles per hour. She reaches the highway,
quickly speeds up, and drives for another 30 minutes at constant speed of 70
miles per hour. How far did you and your mother travel altogether?
Your answer

Answers

Answer:

75 Miles

Step-by-step explanation:


-2 (m+3) - 5m = -34
Help please

Answers

Answer:

m = 4

Step-by-step explanation:

Given

- 2(m + 3) - 5m = - 34 ← distribute and simplify left side

- 2m - 6 - 5m = - 34

- 7m - 6 = - 34 ( add 6 to both sides )

- 7m = - 28 ( divide both sides by - 7 )

m = 4

Please help!!!! Needs to be answered soon!

Answers

Answer:

This is NOT a graph :)

Step-by-step explanation:

Yes, this is a relation a function

If h = 12 units and r= 4 units, what is the volume of the cone shown above?
Use 3.14 for .
A.
12.56 cubic units
B.
50.24 cubic units
C.
200.96 cubic units
D. 602.88 cubic units

Answers

C because you have to multiply and estimate
C, 200.96 cubic units I’m pretty sure

HEEEEEEEEEEELPPPPPPPPP PLEASEEEEEEE URGENT 15 POINTS+ MORE

Answers

Answer:

y - 70, x - 73 should be the answer

Step-by-step explanation:

In AMNO, m = 540 inches, n = 330 inches and o=600 inches. Find the measure of
20 to the nearest 10th of a degree.

Answers

Answer: 83.5

Step-by-step explanation:

Plllllllllllllllllllllllzzzzzzzzzzzz help me out I’m confused 25 points

Answers

Answer:

0+2+-4=-2

Step-by-step explanation:

0+2-4=-2

Step by step explanation :
I believe this is right sorry if i’m wrong

How is the general shape of a cube root function different from the shape of a square root function?

Answers

Square root functions are in the shape of a parabola, like a giant U, while cube root functions are more wide and swiggly, like a stretched out S.

See :

The general shape of a cube root function is a "S" shape when graphed, while the general shape of a square root function is a "U" shape when graphed.

What is the cube root function?

A cube root function is defined as f(x) = ∛x. It has a single value for each positive x and one value for each negative x, so it is defined for all real numbers. It has a vertical asymptote at x=0 and its graph is a reflection of the graph of f(x) = -∛x over the x-axis. It starts at -infinity as x approaches negative infinity, increases to zero as x approaches zero and then decreases to positive infinity as x approaches positive infinity.

A square root function is defined as f(x) = √x. It is defined for all non-negative x and it has a vertical asymptote at x=0. Its graph starts at zero as x approaches zero and increases to positive infinity as x approaches positive infinity.

In summary, the cube root function is defined for all real numbers and has a "S" shape while the square root function is defined for non-negative numbers and has a "U" shape.

Learn more about the function here:

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