Hey there! I'm happy to help!
Let's call these numbers x and y and model the information we have.
x=1/5y
y-x=228 (we see that x is smaller than y in the first equation, so we put it second )
We see that x is equal to 1/5y. We can switch the x in the second equation with 1/5y and solve for y.
y-1/5y=228
4/5y=228
We divide both sides by 4/5.
y=285
We know that x is 1/5 of y, so we divide by 5.
285/5=57
x=57
So, our numbers are 57 and 285.
Have a wonderful day! :D
The 2 positive numbers are 285 and 57 and they have a difference of 228.
EquationAn equation is an expression used to show the relationship between two or more numbers and variables.
Let x represent the bigger positive number and y the smaller number. Hence:
y = (1/5)x y - (1/5)x = 0 (1)Also:
x - y = 228 (2)Solving equation 1 and 2 simultaneously gives:
x = 285, y = 57
The 2 positive numbers are 285 and 57 and they have a difference of 228.
Find out more on equation at: https://brainly.com/question/13763238
Give an odd function which of following transformations would result in an odd function
Answer: Reflection across the x-axis and Vertical stretch are the ones that return an odd function.
Step-by-step explanation:
An odd function f(x) is a function such that:
f(-x) = -f(x).
So let's analyze the options:
A) Horizontal translation.
An horizontal translation of A units to the right (A > 0) is written as:
g(x) = f(x - A)
Now, let's see if g(x) is also odd.
g(x) = f(x - A)
g(-x) = f(-x - A)
Now, f(-x - A) is equal to -f( x + A)
then:
g(-x) = f(-x - A) ≠ -g(x) = -f(x - A)
This is not an odd function.
B) Reflection over the x-axis.
When we have a point (x, y), a reflection over the x-axis changes the sign of the y-variable.
Then we have that:
g(x) = -f(x).
Then:
g(x) = -f(x)
g(-x) = -f(-x) = -(-f(x)) = f(x)
then:
g(x) = -f(x) = -g(-x)
This is an odd function.
C) Vertical stretch:
We can write a vertical stretch of factor scale A as:
g(x) = A*f(x).
Let's see if g(x) is odd:
g(-x) = A*f(-x) = A*(-f(x)) = -A*f(x) = -g(x)
this is a odd function.
C) Vertical translation:
A vertical translation of A units up (A > 0) is written as:
g(x) = f(x) + A.
Similar to the case of the horizontal translation, so it is easy to see that g(x) is not an odd function.
A customer at a Mexican restaurant placed a order for burrito bowls that cost $5 each and a plate of corn tocos that cost $13. How many burrito bowls did the costumer purchase if the bill was $23?
Answer:
the customer bought 2 burrito bowls and 1 corn taco.
Step-by-step explanation:
13+5=23
23+5=23
How do you solve non-perfect squares to the nearest tenth
Answer:using math
Step-by-step explanation:
What is this 5n+6+(−7n)
Answer:
-2n+6
Step-by-step explanation:
5n+6+(-7n)
5n+6-7n
5n-7n+6
-2n+6
Hope this helps ;) ❤❤❤
Answer:
-2n + 6
Step-by-step explanation:
Combine like terms (terms with the same amount of variables).
Note the laws of signs:
Two additions signs: If there are two addition signs directly next to each other (which will not be shown very much), it means to add.
One addition sign & One negative sign: If there is one of each signs directly next to each other (as shown here), you must default it to negative and subtract.
Two negative signs: If there are two negative signs directly next to each other, you must default it to positive and add.
First, change the expression to signify how you should combine the terms:
5n + 6 + (-7n) = 5n - 7n + 6
Combine like terms:
(5n - 7n) + 6
-2n + 6
-2n + 6 is your answer.
~
-3 (n+6) + 10 = -8 pls help with this ASAP and show checked answer
Answer:
no solution/ns
Step-by-step explanation:
-3(n+6)+10=-8
-3n-18+10=-8
-3n-8=-8
-3n=o
ns
A triangle has coordinates of A(1, 2), B(4, 6), and C(4, -3).
1. If the triangle is translated 2 units right, what are the new coordinates?
2. If ΔABC is reflected over the x-axis, what are the new coordinates?
Please show all work and not just the answer.
1 = (3,2) B= (6, 6) C = (6, -3)
Move two to the right since left and right deals with the x axis, add two to the x’s
2 = (1, -2) B = (4, -6) C = (4, 3)
Reflecting across the x axis means the formula is (x, -y) so switch the sign of the y’s
Answer:
1) A (3,2), B (6,6), C (6,-3)
2) A (1,-2), B (4,-6), C (4,3)
Step-by-step explanation:
1) Each of the x-values goes up two.
A (1,2) becomes (3,2)
B (4,6) becomes (6,6)
C (4,-3) becomes (6,-3)
2). I assume they mean the ORIGINAL ABC, not the one you just translated 2 units to the right.
To do this, you just multiply each y-value times negative one.
A (1,2) becomes (1,-2)
B (4,6) becomes (4,-6)
C (4,-3) becomes (4,3)
In a lab a 30% acid solution is being mixed with a 5% solution to create a 10% acid solution. What is the ratio of the amount of the 30% solution to the amount of the 5% solution used to create the 10% solution
Answer:
1:4
Step-by-step explanation:
30% solution = x 5% solution = ythen
10% solution = x + yAmount of acid:
0.3x + 0.05y = 0.1(x+y) 0.3x + 0.05y = 0.1x + 0.1y 0.2x = 0.05y 20x = 5y 4x = y x/y = 1/4So the ratio of 30% solution to the 5% solution is 1:4
rotate the rectangle 90∘ clockwise about the cross
Answer:
[tex]\large \boxed{\mathrm{view \ attachment}}[/tex]
Step-by-step explanation:
The rectangle is rotated 90 degrees clockwise about the cross.
Simplify three to the negative ninth divided by three to the negative twelfth
Answer:
27
Step-by-step explanation:
sorry if i'm wrong
(-18)+(-7)+25 my answer was 36 but i just want to confirm
Answer:
0
Step-by-step explanation:
Note that + (- 7) = - 7 , thus
- 18 + (- 7) + 25 = - 18 - 7 + 25 = - 25 + 25 = 0
Apothem = (the answer is a sqaure root)
Answer:
[tex]\sqrt{20}[/tex]
Step-by-step explanation:
To find the Apothem of a shape, we need to find how long the distance is from a vertex to the center of the shape.
We can see that they've already showed us how to do it: We need to find the length of the hypotenuse of the red triangle.
To do this, we can use the Pythagorean Theorem, which states that [tex]a^2 + b^2 = c^2[/tex].
We know that a is going to be half of 4, which is 2. We also know that b is going to be 4, so we can substitute inside the equation.
[tex]2^2 + 4^2 = c^2\\\\4 + 16 = c^2\\\\20=c^2\\\\c=\sqrt{20}[/tex]
Hope this helped!
Which of the following lists has numbers arranged in INCREASING order?
Answer:
C
Step by step explanation:1/7 is greater than 1/8 so 1/7 must go after it. but negative is always less then positive so the correct order is
-1/8, -1/7, 1/8, 1/7
The numbers arranged in increasing order is
-1/8, -1/7, 1/8, 1/7
There are 4 values given:
1/7, 1/8, - 1/7, - 1/8
Negative figures are generally lesser than positive figures
1/7 is greater than 1/8
In negative values, the greater number becomes the smaller number
Therefore,
-1/8 is the the smaller number
Arrangements in increasing order =
-1/8, -1/7, 1/8, 1/7
Read more:
https://brainly.com/question/23774817
junior traveled 420 miles in 7 hours to visit his mother. how many miles per hour did he travel
A ceramics teacher divided 20kg of clay as equally as possible among the 29 students in her class. About how much clay did each student get?
Answer:
.69 rounded to the nearest hundredth
Step-by-step explanation:
the distance a jet travels varies directly as the number of hours it flies. A jet traveled 2875 miles in 5 hours. What is the constant of variation
Answer:
k = 575
Step-by-step explanation:
let d be distance and h time.
Given d varies directly as h then the equation relating them is
d = kh ← k is the constant of variation
To find k use the condition d = 2875, h = 5, then
2875 = 5k ( divide both sides by 5 )
k = 575
IF DE = 10x + 12, EF = 4x - 15, and DF = 2x + 21, find DF. [In your solution, put
DF =YOUR ANSWER]
Answer:
Hey there!
10x+12+4x-15=2x+21
14x-3=2x+21
12x=24
x=2
DF= 2x+21
DF=4+21
DF=25
Let me know if this helps :)
Describe a ratio in words about the coins that compares the whole coin collection to one part of it. Then write the ratio in at least two different ways.
Answer:
Kindly check explanation
Step-by-step explanation: A ratio which compares a whole coin collection to a part of it would be expressed in such a way that, the numerator will be the part of the coin which is being compared and the denominator being the value of the entire coin. Mathematically, It could be expressed in proportion form as ;
(Part or amount of the coin which is being compared / total value of entire coin)
A / B such that;
A = value or amount of coin which is being compared.
B = value of the entire coin.
Or in the form
A : B
part of coin being compared : blue of entire coins
(IREALLY NEED HELP PLEASE! <3 ) Which numbers are a distance of 3.2 units from −4 on a number line? A number line with increments of .5 with a range of 0 to negative 7.5 Select each correct answer. −7.4 −7.2 −6.3 −4.2 −3.8 −0.8
Answer:
-0.8 & -7.2
Step-by-step explanation:
Answer: -0.8 & -7.2
Step-by-step explanation:
the volume of the box is modeled by the function V (x) = 5x²+ 5x. whats the volume when x=4
Answer:
100
Step-by-step explanation:
V (x) = 5x²+ 5x
x=4
We plug in the x value:
V (x) = 5(4)²+ 5(4)
Now we sovle the equation:
5(4)² + 5(4)
5(16) + 5(4)
80 + 20
= 100
Hope that helps, and sorry if its incorrect
Answer:
100 cubic units
Step-by-step explanation:
just took the test on PLATO
There are 6 buses, and each of these buses is taking 29 people to a game. Another bus is taking 9 people. How many people are these buses taking to the game?
Answer:183 people
Step-by-step explanation: 6 multiplied by 9 is 174. And if you add 9 more it equals 183
which of the following transformations always create congruent figures?
select all the correct answers:
- reflections
- dilations
- rotations
- translations
Answer:
- rotations
Step-by-step explanation:
hope it help you
What is the independence and dependent variable? Also label the (x) and (y) axis.
Answer:
The Independent Variable is the variable or thing that depends on nothing, nothing can affect it, nor can it be changed by any other variables, in this case the Independent variable is the Fish tank, the fish tank depends on nothing, and will stay the same.
The Dependent Variable is the variable or thing that depends on one or more variables in the equation, it be changed by any other variables, in this case the dependent variable is the fish, the fish depend on the water in the tank.
Represent 3kg 9gm using decimals
Answer:
I did not understand the questions well but If I try it out.
1. the difference b/w Kg and g is 1000,000.
2. as the 3 is kg I only convert the 9 grmas into Kg and it will look like this.
3.000009kgs.
if 5 a solution of 3x + 30 = 9x?
Answer:
x = 5
Step-by-step explanation:
This equation can be rearranged in order to easily solve.
First, rearrange the equation by simply flipping it.
3x + 30 = 9x → 9x = 3x + 30
Then, you may solve for x.
9x = 3x + 30 subtract 3x from both sides of the equation
6x = 30 divide by 6 on both sides of the equation
x = 5
AB=5 and BC=11. Find AC
Answer:
16
Step-by-step explanation:
B is between AC
AB = 5
BC = 11
5 + 11 = 16
Use the number line to find the coordinate of the point with a fraction
distance of 1/6 from A to B. *
10 points
A
B
-8-7-6-5-4-3-2-1
0
1
1
2
3
4
5
6
-5
-1
2
O 1
Answer:
-5
Step-by-step explanation:
Coordinate of A = -7
Coordinate if B = 5
Distance of AB = |-7 - 5| = |-12| = 12
We are asked to find the coordinate of the point that would be ⅙ from the A to B, which is ⅙ of AB.
Let's find what ⅙ of AB is.
AB = 12
Therefore, ⅙ of AB = ⅙*12 = 2.
From point A (-7), we move 2 points towards B which will give us ⅙ from A to B.
The coordinate = -7 + 2 = -5
-5 is the coordinate of the point with a fraction distance of ⅙ from A to B.
Sam found $1.8 After finding the money in his pocket, Sekou finds an additional $0.75 in his backpack. Then he decides to buy a slice of pizza for $1.50. How many packs of gum will he be able to buy after this, if each pack costs $0.13? PLEASE HELP I WILL MARK YOU BRAINLIEST AND PLEASE EXPLAIN
Answer:
Hey there!
Sam's Money=1.80 dollars + 0.75 dollars.
1.80+0.75-1.50=1.05
1.05/0.13= 8.08.
He will be able to buy 8 pieces of gum.
Let me know if this helps :)
b) Sajid makes a scale model of a lorry.
He uses a scale of 1:32
The length of Sajid's model lorry is 45 cm.
Chitra makes a scale model of the same lorry.
She uses a scale of 1:72
Work out the length of Chitra's model lorry.
find the volume of rectangular box of length 4x, breath 6y power 2,height 2xy
Answer:
687
Step-by-step explanation:
If you have a 4 pound bag of soil and you divide it into pots how muh did you put in one pot.
Answer:
1/2 pound
Step-by-step explanation:
8 pots / 8 equal to 1 pot.
4 lbs / 8 1/2 lbs
Answer:
1/2 pound per pot!
Step-by-step explanation:
4 pound to 8 pots
so we create a fraction 4/8
then reduce = 1/2
so 1/2 pound per pot!
Hope this helps! :)