Peter runs laps on the school track every afternoon. He wants to run no more than 60 minutes a day. He can consistently run each lap in 1.5 minutes. Which inequality best represents the situation and represents x, the greatest number of laps Peter could run in a day?

Answers

Answer 1

Answer:

1.5x ≤ 60

Step-by-step explanation:

He wants to run no more than 60 minutes a day

No more than means Less than or equal to with the inequality sign of ≤

Each lap = 1.5 minutes.

The greatest number of laps Peter could run = x

Therefore, the inequality that best represents the situation and represents x, the greatest number of laps Peter could run in a day

1.5 × x ≤ 60 minutes

= 1.5x ≤ 60

Solving for x

1.5x ≤ 60

x ≤ 60/1.5

x ≤ 40 laps

Hence, the Greatest number of laps = x that he can run is 40 laps


Related Questions

a car travels 180 miles in 3 hours at this rate how many miles will the? car travel in 6 hours ?

Answers

It will cover 360 miles in 6 hrs

Hope this helps

Pls give me BRAINLIEST

can someone pls help me i need to know what is 2x - 1 = 7

Answers

Answer:

The solution for x would be 4.

Step-by-step explanation:

2x - 1 = 7

The value of x is unknown, but you do know that you are multiplying 2 by x. So, if you rewrite the equation as 7+1=2x, you know that 8=2x. If you then divide both sides by 2, you're left with 4=x which would mean that the variable x has a solution of 4

Question is in picture below

Answers

[tex]find \: lengh \: bc \: because \: find \: the \: base \: area \: \\ bc = ad \\ from \: ac = 15mm \\ ab = 12mm \\ from Pythagoras \: {c}^{2} = {a}^{2} + {b}^{2} \\ is \: {(ac)}^{2} = {(bc)}^{2} + {(ab)}^{2} \\ 15 ^{2} = {(bc)}^{2} + {12}^{2} \\ {(bc)}^{2} = 15^{2} - {12}^{2} \\ bc = \sqrt{{15}^{2} - {12}^{2} } \\ bc = \sqrt{225 - 144} \\ bc = \sqrt{81} \\ bc = 9 \: or \: - 9 \\ bc = 9 \\ base \: area \: = bc \: \times \: ab \\ = 9 \times 12 = 108 {mm}^{2} \\ volume \: pyramid \: = \: \frac{1}{3} \times base \: area \times hight \\ = \frac{1}{3} \times 108 {mm}^{2} \times 13mm \\ = 468 {mm}^{3} [/tex]

Jan 16, 3:12:20 PM
Subtract 3.x2 + 8x from 9x2 + 3x – 8.

Answers

Answer:

Step-by-step explanation:

ok so do this

9x² + 3x - 8 - (3x² + 8x)

distribute the negative sign

9x² + 3x - 8 - 3x² - 8x

simplify

6x² - 5x - 8

hope this helps <3

Which number has 21 as a multiple? 2 6 7 11

Answers

Answer:

7

Step-by-step explanation:

7x3=21

Answer:

7

Step-by-step explanation:

21÷7=3

Factor f(x) 3x^3-4x^2-28x-16 given that (x+2) is a factor

Answers

Step-by-step explanation:

3x³ - 4x² - 28x - 16

= (x + 2)(Ax² + Bx + C)

= Ax³ + (2A + B)x² + (2B + C)x + 2C.

By Comparing Coefficients, we have:

A = 3,2A + B = -4,2B + C = -28,2C = -16.

Solving them will give A = 3, B = -10 and C = -8.

Hence 3x³ - 4x² - 28x - 16

= (x + 2)(3x² - 10x - 8)

= (x + 2)(3x + 2)(x - 4).

The answer is f(x) = (x + 2)(3x + 2)(x - 4).

Solve the equation for m. Show your work on the canvas. Move -n by using opposite operation. Then just write the equation as is. This is a one step equation. 4=m−n

Answers

Answer:

m = 4+n

Step-by-step explanation:

Given the expression 4 = m-n, we are to make m the subject of the formula

From the equation

4 = m-n

Rearrange

m-n = 4

Add n both sides of the equation

m-n+n = 4+n

m+0 =4+n

m = 4+n

Hence the expression for m is given as m = 4+n

Hey I need some help here!
6x +2 (5x -6)

Answers

Answer:

1 6  −  1 2

Step-by-step explanation:

im pretty sure :OO if it's wrong im sorry :((

(x+y)^4 I am trying to simplify this problem and am kinda confused by it​

Answers

Answer:

This is already as simple as it will get.  You could expand it though.  In that case you'd get:

(x + y)⁴

= (x² + 2xy + y²)²

= x⁴ + 2x³y + x²y² + 2x³y + 4x²y² + 2xy³ + x²y² + 2xy³ + y⁴

=  x⁴ + 4x³y + 6x²y² +4xy³ + y⁴

But this doesn't simplify at all.

One cylinder has a volume that is 8 Centimeters cubed less than StartFraction 7 over 8 EndFraction of the volume of a second cylinder. If the first cylinder’s volume is 216 Centimeters cubed, what is the correct equation and value of x, the volume of the second cylinder?
StartFraction 7 over 8 EndFraction x + 8 = 216; x = 182 centimeters cubed
StartFraction 7 over 8 EndFraction x minus 8 = 216; x = 196 centimeters cubed
StartFraction 7 over 8 EndFraction x + 8 = 216; x = 238 centimeters cubed
StartFraction 7 over 8 EndFraction x minus 8 = 216; x = 256 centimeters cubed
Mark this and return

Answers

Answer:

Bro yours is correct but its just a little to complicated the answer is d

Step-by-step explanation:

Which expression uses the greatest common factor and the distributive property to rewrite the sum 64 + 32? 16(4+2) ​ 8(8+4) 32(2)+1 ​ 32(2+1) ​

Answers

Step-by-step explanation:

Since 64 = 32 * 2 and 32 = 32 * 1,

64 + 32 = 32(2 + 1).

16(4 + 2) is wrong as 4 and 2 have a GCF of 2.

8(8 + 4) is wrong as 8 and 4 have a GCF of 4.

32(2) + 1 is the wrong application of the distributive property.

Answer:

64+32=32(2+1) is greatest common factor


pls help with thisss

Answers

Answer:

i will help plz put the question here copy it so i can help u

Step-by-step explanation:

Consider the equation below
a + 9 =23
3b + 9 =23
6c + 9 = 23

Determine whether each statement about the equations is true or false

Answers

Answer:

1. False

2. True

3. True

4. False

Step-by-step explanation:

a + 9 = 23

a = 14

3b + 9 = 23

3b = 14

b = 14/3

6c + 9 = 23

6c = 14

c = 14/6 = 7/3

Statement 1: 3a = 14 x 3 = 42, which is not equal to b.

Statement 2: 7/3 is less than 14.

Statement 3: 2c = 7/3 x 2 = 14/3 = b.

Statement 4: 6c = 14 = 3b, so the value of 6c is not greater than 3b. It is just equal to.

hey its me againnnnnnn i need some help here =v=

Answers

Answer:

Step-by-step explanation:

42 square units

Terri has a tepee. The tepee has a diameter of 9 feet and a height of 6 feet. What is the volume of the tepee to the nearest foot?

Answers

Answer:

yuop

Step-by-step explanation:

sdfghmnfv tnymu nhghbergfhthetdhtrsdfbgtgtsghrt

Determine the domain of the graph shown
A.0,8
B.0,24
C.0,20
D.0,10
E.0, 12

Answers

I’m thinking it’s C.

Use the diagram to the right to complete the statement. If m
m

Answers

OGH is also 132 degrees

Sushil and Fiona win some money and share it in the ratio 4:1. Sushil gets £33 more than
Fiona. How much did they get altogether?

Answers

Sushli 4x
Fiona x
Sushli x+33
X+33=4x
3x=33
x=11

x+4x=5x=£55

You buy 11 bagels with a $20 bill. How much change do you receive?

Answers

can’t answer the question without knowing the price of the bagels

well 6 bagels cost $7.50  and you bought 11 bagel with a $20 dollar bill

so answer that

Kayla and totsakan each improved their yards by planting hostas and shrubs. They bought their supplies from the same store. Kayla spent $80 on 8 hostas and 5 shrubs. Totsakan spent $85 on 9 hostas and 5 shrubs, find the cost of one hosta and the cost of obe shrub.

Answers

Answer: one hosta = $5

One shrub = $8.

Step-by-step explanation:

Let the cost of one hosta be h

Let the cost of one shrub be s

Kayla spent $80 on 8 hostas and 5 shrubs. This can be written as:

8h + 5s = 80 ..... i

Totsakan spent $85 on 9 hostas and 5 shrubs. This can be written as:

9h + 5s = 85 ..... ii

8h + 5s = 80 ..... i

9h + 5s = 85 ..... ii

Subtract i from ii.

h = 5

The cost of one hosta is $5

Since 8h + 5s = 80

8(5) + 5s = 80

40 + 5s = 80

5s = 80 - 40

5s = 40

s = 40/5 = 8

One shrub cost $8.

Help plz i hate this but everytime I do this I get it worng

Answers

Answer:

The answer is 19.25

Step-by-step explanation:

Key skills needed: Fraction operations, decimal conversion

1) We are given the hint to use 9 as "b", and we get:

---> [tex]a = \frac{16}{8}(9) + \frac{10}{8}[/tex]  

Let's do  [tex]\frac{16}{8}(9)[/tex]

--> [tex]\frac{16}{8}[/tex] is the same as [tex]16[/tex] ÷ [tex]8[/tex]

16 divide by 8 is 2.

2) This means that it would be  ---> [tex]2(9)[/tex]  which is simply 2 times 9.

2 times 9 = 9 + 9 = 18

3) With that result, it would be  ---> [tex]a = 18 + \frac{10}{8}[/tex]

Now, do [tex]\frac{10}{8}[/tex] (10 divided by 8)  ---> Get 1.25

4) 18 + 1.25 = 19.25, so --> [tex]a = 19.25[/tex] is the answer

Hope you understood and have a nice day!!   :D

so like imma ask dis one more time

Answers

Answer:

1/4+1/32

Step-by-step explanation:

1/4+1/4=1/2

1/32+1/32=1/16

I hope this helps:

PLEASE HELP | WILL GIVE BRAINLY IF RIGHT | LOOK AT IMAGE

Answers

Answer:

Town C

Step-by-step explanation:

the answer is town C

Q
+
O
Write the equation of an absolute
value function that is reflected
across the x-axis, shifted 5 units to
the left, and vertically stretched by
7.

Answers

Answer:

Q + O equals œ

Step-by-step explanation:

Write the equation of the line in slope-intercept that has passes through the points and (4, -8). (-3, 27) ​

Answers

Answer:

It's y = -5x + 12 and/or 5x + y = 12

Step-by-step explanation:

(x,y) is really helpful

*I believe that I'm correct, but I would recommend a quick double-check (just like any other math-related question)

Flying lessons on weekdays cost m dollars per hour. Flying lessons on weekends cost 1.2m dollars per hour. The expression 9m+3(1.2m) represents the to

Answers

Answer:

The cost of lesson for 9 hours on weekdays and 3 hours on weekends

Step-by-step explanation:

Given

[tex]Weekdays = \$m /hour[/tex]

[tex]Weekends = \$1.2m/hour[/tex]

Required

What does 9m + 3(1.2m) represent

The expression can be split to:

9m and 3(1.2m)

For 9m:

From the question, we understand that:

[tex]m = 1\ hour[/tex]

Multiply both sides by 9

[tex]9 * m = 1\ hour * 9[/tex]

[tex]9 m = 9\ hours[/tex]

This means that:

9m = the cost of lessons for 9 hours on weekdays

For 3(1.2m):

From the question, we understand that:

[tex]1.2m = 1 \ hour[/tex]

Multiply both sides by 3

[tex]3 * 1.2m = 1 \ hour * 3[/tex]

[tex]3(1.2m) = 3 \ hours[/tex]

This means that:

3(1.2m) = the cost of lessons for 3 hours on weekends

Hence, the expression represents:

The cost of lesson for 9 hours on weekdays and 3 hours on weekends

Nancy's cell phone company automatically deducts $30 from her bank
account every month to pay her bill.
Nancy does not add money to her bank account. What is the change in
Nancy's bank account after 6 months?

Answers

Answer:

5

Step-by-step explanation:

30/6=5

I was distracted
And in traffic
I didn't feel it
When the earthquake happened
But it really got me thinkin'
Were you out drinkin'?
Were you in the living room
Chillin' watchin' television?
It's been a year now
Think I've figured out how
How to let you go and let communication die out
I know, you know, we know
You weren't down for forever and it's fine
I know, you know, we know
We weren't meant for each other and it's fine
But if the world was ending
You'd come over, right?
You'd come over and you'd stay the night
Would you love me for the hell of it?
All our fears would be irrelevant
If the world was ending
You'd come over, right?
The sky'd be falling and I'd hold you tight
And there wouldn't be a reason why
We would even have to say goodbye
If the world was ending
You'd come over, right?
Right?
If the world was ending
You'd come over, right?
Right?
I tried to imagine
Your reaction
It didn't scare me when the earthquake happened
But it really got me thinkin'
That night we went drinkin'
Stumbled in the house
And didn't make it past the kitchen
Ah, it's been a year now
Think I've figured out how
How to think about you without it rippin' my heart out
I know, you know, we know
You weren't down for forever and it's fine
I know, you know, we know
We weren't meant for each other and it's fine
But if the world was ending
You'd come over, right?
You'd come over and you'd stay the night
Would you love me for the hell of it?
All our fears would be irrelevant
If the world was ending
You'd come over, right?
The sky'd be falling while I'd hold you tight
No, there wouldn't be a reason why
We would even have to say goodbye
If the world was ending
You'd come over, right?
You'd come over, right?
You'd come over, you'd come over, you'd come over, right?
I know, you know, we know
You weren't down for forever and it's fine
I know, you know, we know
We weren't meant for each other and it's fine
But if the world was ending
You'd come over, right?
You'd come over and you'd stay the night
Would you love me for the hell of it?
All our fears would be irrelevant
If the world was ending
You'd come over, right?
The sky'd be falling while I hold you tight
No, there wouldn't be a reason why
We would even have to say goodbye
If the world was ending
You'd come over, right?
You'd come over, you'd come over, you'd come over, right?
If the world was ending
You'd come over, right?

Answers

Answer:

Yes

Step-by-step explanation:

Yes

Cara has driven one-fifth of the total distance, d, to her destination.


Which statement explains why both 1/5d and 0.2d can find the distance she has driven?




Multiplying by 1/5 is the same as multiplying by 20%.

Multiplying by 1/5 is the same as multiplying by 2%.

The fraction 1/5 is the same as the decimal 0.8. Therefore, 1/5d can be written as 0.8d.

The expressions are not equivalent.

Answers

Answer:

I dont even know man I wish I knew too

Solve for x. x^2 - 14x + 31 = 0

Answers

Answer:

7 + 3 sqrt 2

7 - 3 sqrt 2

Step-by-step explanation:

Other Questions
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