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
a car travels 180 miles in 3 hours at this rate how many miles will the? car travel in 6 hours ?
can someone pls help me i need to know what is 2x - 1 = 7
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
[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.
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
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
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
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)
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
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
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)
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
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
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=
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?
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
Use the diagram to the right to complete the statement. If m
m
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?
You buy 11 bagels with a $20 bill. How much change do you receive?
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.
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
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
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
Answer:
Town C
Step-by-step explanation:
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.
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)
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
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?
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?
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.
Answer:
I dont even know man I wish I knew too
Solve for x. x^2 - 14x + 31 = 0
Answer:
7 + 3 sqrt 2
7 - 3 sqrt 2
Step-by-step explanation: