Answer:
Let the distance of school and house is x k m
Then time taken at speed 2.5 km\hr=
2.5
x
hr
And time taken at speed 4 km\hr=
4
x
hr
∴
2.5
x
−
4
x
=
60
12
⇒
10
4x−2.5x
=
5
1
⇒x=3 km
Then the distance of school and house is 3 k m
may this help you
Select the equivalent expression. (a^-3/b^2)^4=? Choose 1 answer: A. b^2/a^7 B. (b/a)^20 C. 1/a^12*b^8
Answer:
1
C = --------
a¹² b⁸
Step-by-step explanation:
(a⁻³/b²)⁴
( (1/a³) / (b²))⁴
( 1/a³ ÷ b² )⁴
therefore,
1
= ------
a¹² b⁸
whats 46.288 rounded to the nearest tenth
Answer:
46.3
Step-by-step explanation:
Find the number in the tenth place (2) and look one place to the right for the rounding digit (8) Round up if this number is greater than or equal to 5 and round down if it is less than 5
PLEASE HELP!! I WILL GIVE BRIANLIEST!!!
Look at the graph:
What is the relationship between x and y?
A: y and x stay constant
B: y increases as x increases
C: y decreases as c increases
D: y stays constant as x increases
Answer:
C: y decreases as x increases
Step-by-step explanation:
Notice from this graph, as we move from left to right, the y values are decreasing while the x values are increasing.
This means that the relationship of the line in terms of x and y can be described as, as y decreases, x increase. Hence you will choose option C.
You can validate this by choosing to definitive points on the line, say the origin (0,0) and (2, -6). Notice that our x value increased, but our y value decreased.
Cheers.
This is for algebra 2 can someone tell me if I’m right and can someone explain how do you get a= ?
Answers:
a = 2
h = 3
k = -3
You have the correct h and k values. Nice work so far.
==========================================================
Explanation:
(h,k) is the vertex. So (h,k) = (3,-3) meaning h = 3 and k = -3
To get the value of 'a', we need to plug in some point on the red graph. Each point is of the form (x,y). We can pick any point we want that isn't the vertex.
Let's pick (0,3) which is the y intercept. I'm picking this because 0 is an easy number to work with
------------
y = a|x-h| + k
y = a|x-3| + (-3) .... plug in the h,k values
y = a|x-3| - 3
3 = a|0-3| - 3 .... plug in (x,y) = (0,3)
3 = a|-3| - 3
3 = a*3 - 3
3 = 3a - 3
3a-3 = 3
3a = 3+3 ... adding 3 to both sides
3a = 6
a = 6/3 ... divide both sides by 3
a = 2
The value a = 2 indicates that the parent function y = |x| has been stretched vertically by a factor of 2. So it is twice as tall as before. Then it has been shifted to place the vertex at (3,-3) as shown in the graph.
------------
You may be wondering why you can't pick on the vertex for (x,y)
Let's see what happens if we use (x,y) = (3,-3)
y = a|x-3| - 3
-3 = a|3-3| - 3 ... plug in (x,y) = (3,-3)
-3 = a|0| - 3 ... uh oh, we get 0 here
-3 = a*0 - 3
-3 = 0 - 3
-3 = -3
We get a true statement, which is nice, but it doesn't tell us anything about what the value of 'a' is. That 'a' term goes away entirely. So I avoided using x = 3 to prevent x-3 from being 0.
Find the volume of a cube that has the following dimensions:length=2x^2 width=x^3 height=x^2-6x+5 A) 4x^7-3x^6+8x^5 B) 2x^12-12x^7+10x^6 C) 2x^7+12x^6+10x^5 D) 2x^7-12x^6+10x^5
Answer:
Option D. 2x⁷ - 12x⁶ + 10x⁵
Step-by-step explanation:
From the question given:
Length (L) = 2x²
Width (w) = x³
Height (h) = x² - 6x + 5
Volume (V) =?
Volume (V) = length (L) x width (w) x height (h)
V = L x w x h
V = 2x² × x³ × x² - 6x + 5
V = (2x²) (x³) (x² - 6x + 5)
V = (2x⁵) (x² - 6x + 5)
Clear bracket
V = 2x⁷ - 12x⁶ + 10x⁵
Therefore, the volume of the cube is 2x⁷ - 12x⁶ + 10x⁵
there were 62 females and 217 males present at the high school pep rally. find the ratio of the males to the total number of people present
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
The ratio is 217 to 279 or 217:279 or [tex]\frac{217}{279}[/tex]
Males: The number of males if already stated. (217)
Total number of people present: The total number of people means males + females. There are 62 females and 217 males. 62+217 is 279.
Males to total people = 217 to 279
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
The ratio of the males to the total number of people present is [tex]\frac{7}{9}[/tex] = 7:9
What is ratio?"A ratio is an ordered pair of numbers a and b, written [tex]\frac{a}{b}[/tex] where b does not equal 0."
We have
Female candidates at the high school rally = 62
Male candidates at the high school rally = 217
Total number of people present at the high school rally
= 62 + 217
= 279
The ratio of the males to the total number of people present
= [tex]\frac{Total Number of People Present}{Male Candidates Present}[/tex]
= [tex]\frac{217}{279}[/tex]
= [tex]\frac{7}{9}[/tex]
Hence, the ratio of the males to the total number of people present is [tex]\frac{7}{9}[/tex] = 7:9
Learn more about ratio here
https://brainly.in/question/21176443
#SPJ2
An 8-cup carton of milk costs $2.00. What is the price per pint?
Answer:
$0.50 per pint
Step-by-step explanation:
First, we need to convert cups to pints.
There are 2 cups in 1 pint. We are given 8 cups, which is 4 times 2. So, we multiply 1 pint by 4:
1 * 4 = 4 pints
There are 4 pints in 8 cups.
We also know that 8 cups cost $2, which also means that 4 pints cost $2.
To find the cost per pint, we divide 2 by 4:
2 / 4 = $0.50
Thus, the price is $0.50 per pint.
~ an aesthetics lover
Answer:50 cents per pint
Step-by-step explanation:
8 cups=4 pints 2.00 ÷ 4 = .50
Select the domain and range of F.
F = {(x, y) 1 x+y= 10).
A.Set F is not a function and does not contain a domain or range
B.Domain: (10) Range: (10)
C.Domain: All Real Numbers Range: All Real Numbers
Answer:
b
Step-by-step explanation:
Write 10 x 10 x 10 x 10 x 10 with an exponent.
10 x 10 x 10 x 10 x 10 =
Answer:
[tex]10^5[/tex]
Step-by-step explanation:
Exponents are basically just saying how many times the number is multiplied by itself.
In the expression [tex]10\cdot10\cdot10\cdot10\cdot10[/tex], we can see that 10 is being multiplied by itself 5 times.
So the exponent becomes 5, and the base is 10.
[tex]10^5[/tex].
Hope this helped!
[tex]10^{5}[/tex]
Step-by-step explanation:
God bless
10 to the power of 5
Choose the correct simplification of the expression (xyz234
O a
x5y5z6
Ob
x5y5z8
ос
Xyz16
od
x4y428
Step-by-step explanation:
In my opinion Option D is the correct answer
The correct simplification of the expression (xyz²)⁴ is (x)⁴y⁴z⁸
Simplification of exponential expressionsGiven the exponential expression
(xyz²)⁴
Expand the expression
(x)⁴y⁴(z²)⁴
According to the indices rule:
(xyz²)⁴ = (x)⁴y⁴z⁸
Hence the correct simplification of the expression (xyz²)⁴ is (x)⁴y⁴z⁸
Learn more on indices here: https://brainly.com/question/10339517
8. 10 ÷ 5 + 10 – 9 x 11 has to show work
Answer:
-87Step-by-step explanation:
(10 ÷ 5) + 10 – (9 x 11)
=(2) + 10 - (99)
=2 +10 - 99
= -87
[tex]hope \: this \: helps[/tex]
There's "8. '' In the first, is this also included? Or it's the number of the expression?
calculate the values of the Expressions below 6 - 2 (4 + 5) + 6
Answer:
= -6
Step-by-step explanation:
6 - 2 (4 + 5) + 6
=6-2 * 9 + 6
= -6
Answer:
12
Step-by-step explanation:
The two squares in the graph below are similar. Which sequence of transformations proves that the squares are similar?
A translation 6 units left and 5 units down followed by a dilation with scale factor 5
A translation 5 units left and 6 units down followed by a dilation with scale factor 5
A translation 6 units left and 5 units down followed by a dilation with scale factor
A translation 5 units left and 6 units down followed by a dilation with scale factor
Answer:
B
Step-by-step explanation:
Solve for c in the literal equation 3p + 11c =p. Represent any fractions in simplified proper or improper
form only.
[tex]11c=p-3p\\11c=-p\\c=-\frac{2p}{11}[/tex]
Help 5y^5/y^3 a) 5y^2 b) 5/y^2 c) 5y^8 d) 5y
Answer:
a) 5y²
Step-by-step explanation:
5 divided by 1 is still 5
y^5/y^3 subtract the exponents since the base is the same
Answer:
a) 5y²
Step-by-step explanation:
5y⁵ / y³ = 5y⁵⁻³ = 5y²
a) 5y²
Help I will love you forever
[tex]6\sqrt [4]{405 {a}^{5} {b}^{8}c } [/tex]
Line r passes through points (8,10) and (2,3). Line s is perpendicular to r. What is the slope of line S?
WHOEVER ANSWERS QUICKEST WITH THE CORRECT ANSWER WILL BE BRAINLIEST!!
Answer:
[tex]-\dfrac67[/tex]
Step-by-step explanation:
slope of r:
[tex]a_r=\dfrac{10-3}{8-2}=\dfrac76[/tex]
s is perpendicular to r:
[tex]s\perp r\ \ \implies\ \ a_s\cdot a_r=-1\\\\a_s\cdot\dfrac76=-1\\\\a_s=-\dfrac67[/tex]
given the equation p=2n-3 , what is p when =3
Answer:
3
Step-by-step explanation:
Hello!
It is asking for the answer is p is equal to 3 so we put 3 in for p
3 = 2n - 3
Add 3 to both sides
6 = 2n
Divide both sides by 2
3 = n
The answer is 3
Hope this helps!
Answer:
n = 3
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:
*3-(2*n-3)=0
Pull out like factors:
*6 - 2n = -2 • (n - 3)
Solve:
*-2 = 0 (This has no equation so we solve for the next side.)
*n-3 = 0 (Add 3 to both sides)
Which number is a rational number, but not an integer? - 144−−−√- square root 218/12 184/4 99
Answer:
184/4
Step-by-step explanation:
A rational number is a number in the form p/q where the numerator and denominator (p and q) are both integers but the denominator q is not equal to zero (q ≠ 0)
An integer is a whole number (not fractional) that is either positive, negative or zero.
From the question:
-144 is an integer because it is a negative whole number. Also -144 can be represented as -144 / 1, hence it is a rational number
√218/12 is neither a rational number or integer
184/4 is not an integer because it is not a whole number. 184/4 is a rational number
99 is an integer because it is a positive whole number. Also 99 can be represented as 99 / 1, hence it is a rational number
HURRY PLEASEEEEEEEEE...? What is the definition of an angle? A.A part of a line starting at a particular point and extending indefinitely in one direction. B.To rays sharing a common endpoint. C.All points between and including two endpoints. D.The set of all points that a fixed distance from a given point.
Answer:
C
Step-by-step explanation:
All points between and including two endpoints.
I am so sorry if this is incorrect!!!!!!!!!!!!!!!!!!!
Answer:
B.) the set of all points that are a fixed distance from a given point
Step-by-step explanation:
Search the definition up, it'll give you the same answer.
You're welcome
>:D
Solve the equation
(If possible please show work)
Answer:
-2x+4 = 1-4x-3-2x+4x = 1-3-42x = -6x = -6/2•°• x = -3➨ -2x + 4 = 1 - 4x - 3
➨ -2x + 4 = -4x - 2
➨ -2x + 4x = -2 - 4
➨ 2x = -6
➨ x = -6/2
➨ x = -3
Therefore, the value of x is -3.
What is the measure of ZRSP in the diagram below?
R
79°
43°
S
A. 58°
B. 101°
C. 122
D. 180°
Greetings from Brasil...
We know that the sum of the internal angles of a triangle is 180....
Bringing to our problem:
Angle P + Angle R + Angle S = 180
43 + 79 + Angle S = 180
Angle S = 180 - 43 - 79
Angle S = 58Given that x = 5 and y = 9, evaluate the expression using -4xy - 6x2 + 2x2y - 6y
Answer:
66
Step-by-step explanation:
Put the numbers in place of the corresponding variables and do the arithmetic.
-4(5)(9) -6(5)^2 +2(5)^2(9) -6(9) = -180 -150 +450 -54 = 66
Find the value of
3a²-4ab-26² when A= -1 and b-4
Answer:
-657
Step-by-step explanation:
[tex]a= -1\\b= 4\\[/tex]
Substituting the value of a and b
[tex]3a^{2}-4ab-26^{2} \\3(-1)^{2} -4(-1)(4)-676\\3-4(-4)-676\\3+16-676\\19-676\\-657[/tex]
The value of 3a²-4ab-26² is -657
Please help me with this question, as soon as possible.
Answer:
B y is 3/4 of (x+y)
Step-by-step explanation:
a : is the same thing as a division sign or a fraction bar
so 1 : 3 = 1/3
this ratio says that for every 1 of x, there are 3 y's.
so 1x = 3y or y = 1/3x
x = 1; y = 3
x + y = 4
y / (x+y)
3 / 4
y is 3/4 of (x+y)
Find the difference of 268.75 and -46.99
Answer:
315.74
Step-by-step explanation:
=268.75−(−46.99)
=268.75+46.99
=315.74
Please help ASAP 100 points on please
Answer:
See below.
Step-by-step explanation:
A line can be named using a single small-case letter, or it can be named using any two points on the line in either order.
3.
You have 2 choices. Choose h or
[tex] \overleftrightarrow{CA} [/tex]
4. You have five choices. Choose one of these.
[tex] \overleftrightarrow{HG}, \overleftrightarrow{GJ}, \overleftrightarrow{JG} [/tex]
[tex] \overleftrightarrow{JH}, \overleftrightarrow{HJ} [/tex]
Answer:
A line can be named using a single small-case letter, or it can be named using any two points on the line in either order.
3.
You have 2 choices. Choose h or
4. You have five choices. Choose one of these.
Step-by-step explanation:
simplify(1-√3)(1/3+√3) leaving your answer in the form p +q √3
Answer:
-8/3 + 2/3 (√3)
Where, p = -8/3
q = 2/3
Step-by-step explanation:
Simplify(1-√3)(1/3+√3)
= (1-√3)(1/3+√3)
Expand the bracket
= 1(1/3+√3) -√3(1/3+√3)
= 1/3 + √3 - √3/3 - 3
Collect like terms
= 1/3 - 3 + √3 - √3/3
= (1/3 - 3) + (√3 - √3/3)
= -8/3 + [(3√3 - √3)/3]
= -8/3 + 2√3/3
= -8/3 + 1/3( 2√3)
= -8/3 + 2/3 (√3)
Where, p = -8/3
q = 2/3
Sophia can wash 99 cars in 9 days.How many cars can Sophia wash per day?
Answer: Hi!
Here we're trying to find something called a unit rate. To find the unit rate in this situation, we have to divide the amount of cars by the amount of days:
99 ÷ 9 = 11
Sophia can wash 11 cars in one day.
Hope this helps!
Answer:
[tex]\Huge \boxed{\mathrm{11}}[/tex]
Step-by-step explanation:
She can wash 99 cars in 9 days.
Divide number of cars by number of days.
99 cars / 9 days ⇒ 11 cars/day ⇒ 11 cars per day.
"five times the sum of a number and 6 is 48"
Answer:
Sum of the number is 8.4
Step-by-step explanation:
x = sum of a number
(5 × x) + 6 =48
5x + 6 = 48
5x + (6 - 6) = (48 - 6)
5x = 42
5x ÷ 5 = 42 ÷ 5
x = 8.4
Answer:
5 (x+6)=48
x=3.6
Step-by-step explanation:
let x be the unknown number :
5 (x+6)=48
5x+30=48
5x=48-30
5x=18
x=18/5=3.6