Answer:
We have 2 values to work with, both in terms of x. the first value is just x, our first number. The second value is 40% higher than the original.
x + (x + .4x) = 180
x + 1.4x = 180
2.4x = 180
x = 180/2.4
x = 75 1.4(75) = 105
Check:
75 * .4 = 30
75 + 30 = 105
Answer:
75, 105
Step-by-step explanation:
Let's let the two numbers be a and b.
The sum of them is 180. Thus:
[tex]a+b=180[/tex]
One of the number is 40% more than the other. In other words, let's let a be the bigger number:
[tex]a=1.4b[/tex]
Substitute this into the first equation:
[tex]1.4b+b=180[/tex]
Combine like terms:
[tex]2.4b=180[/tex]
Divide everything by 2.4:
[tex]b=75[/tex]
So, b is 75.
And their sum is 180. Thus, a is 180-75 or 105.
And we're done!
f(x)=8x^2 -800 Enter the solutions from least to greatest.
Answer:
x = -10, 10
Step-by-step explanation:
Step 1: Write out function
f(x) = 8x² - 800
Step 2: Set equal to 0
0 = 8x² - 800
Step 3: Add 800 on both sides
800 = 8x²
Step 4: Divide both sides by 8
x² = 100
Step 5: Take square root on both sides
x = ±10
Step 6: Arrange
-10 < 10
So x = -10, 10
An investor has an account with stock from two different companies. Last year, her stock in Company A was worth $1700 and her stock in Company B was worth $500. The stock in Company A has increased 20% since last year and the stock in Company B has increased 12%. What was the total percentage increase in the investor's stock account?
Answer:
All together she had a 18.1818182% raise but 18% raise rounded.
Step-by-step explanation:
First you need to find how much each stock increased.
So:
1700 to 2040
500 to 560
Add them.
1700 + 500 = 2200
2040 + 560 = 2600
Then find the raise. You can usally just find the amount for each percent or find the over all raise.
1% of 2200 is 22
400/22 = 18.18
please help!! thank you
Answer: 5
Step-by-step explanation:
f(x)=3-x
f(-2)=3-(-2)
f(-2)=3+2
f(-2)=5
Hope this helps!! :)
Please let me know if you have any question
A pole that is 3.3 meters tall casts a shadow that is 1.36 meters long. At the same time, a nearby building casts a shadow that is 47.75 long. How tall is the building?
Answer:
Height of building is 115.86 m.
Step-by-step explanation:
This is problem of proportion.
a:b = c:d
____________________________________________________________
height of pole = 3.3 m
length of shadow of pole = 1.36 m
ratio
height of pole: length of shadow of pole = 3.3 : 1.36
________________________________________________
let the height of building= x m
length of shadow of building= 47.75 m
ratio
height of building: length of shadow of building= x: 47.75
ratio in both the cases will be same
thus,
x/47.75 = 3.3 / 1.36
=> x = 3.3 / 1.36 * 47.75 = 115.86
Thus, height of building is 115.86 m.
7(3y-5) -2 (10+4y)
-distributive property-
Answer:
13y - 55
Step-by-step explanation:
Given
7(3y - 5) - 2(10 + 4y) ← distribute both parenthesis
= 21y - 35 - 20 - 8y ← collect like terms
= 13y - 55
Answer:
When using the distributive property, we can operate parenthesis:
[tex]a*(b+c)=ab + ac[/tex]
So, in our case:
[tex]7(3y-5) -2(10+4y)[/tex]
[tex]7*3y+7*(-5) - 2*10-2*4y[/tex]
[tex]21y -35 - 20 - 8y[/tex]
[tex]=13y - 55[/tex]
So now we know the result is 13y - 55
A rectangle where the ratio of the width to length is 5 : 9.
If the perimeter of the rectangle is 448 in, find the length and width.
Steps to solve please
Answer:
length=80m
breadth=144m
hope it is helpful for you
Three siblings are one year apart inage. If the oldest is x years old, what is the average of their ages?
Answer:
x - 1
Step-by-step explanation:
x
x - 1
x - 2
x + (x - 1) + ( x - 2)
3x - 3
3(x - 1)
Average
3(x - 1)/3
x - 1
describe a rule for each pattern. 35,70,105,140
Answer:
A linear sequence
Step-by-step explanation:
In this sequence, the difference between the first two terms is 70−35=35 , we can check this is correct by finding the difference between the 2nd and 3rd terms, which is 105−70=35 . This means the first difference is 35.
The first difference gives us the number we multiply n by, or the quotient of n.
This means we get the nth term as 35n+c .
To get c , we check the difference between the first term and the number we get when we multiply n by 35 , when n=1 .
This gives us:
35n+c=35
c=35−35n
c=35−35(1)
c=35−35
c=0
Once we have c , we get the nth term of 35,70,105 to be 35n .
T is in the interior of angle PQR. Find each of the following. Hint: Draw each angle.
8. mPQT if mPQR=25 degrees and mRQT=11 degrees.
Answer:
13 degrees
Step-by-step explanation:
mPQR=25 degrees , mRQT=11 degrees.
mPQT=PQR-RQT
MPQT=25-11=13 degrees
Let p: the book is interesting and q: the book has pictures.
The notation p q represents the statement "The book is interesting
the book has pictures."
The notation p q represents the statement "The book is interesting
the book has pictures."
The notation qv p represents the statement "The book has pictures
the book is interesting."
The notation 9 → p represents the statement "The book is interesting
the book has pictures.
Answer:
The notation p ∧ q represents the statement “The book is interesting
✔ and <-- Answer
the book has pictures.”
The notation p ↔ q represents the statement “The book is interesting
✔ if and only if <-- Answer
the book has pictures.”
The notation q ∨ p represents the statement “The book has pictures
✔ or <-- Answer
the book is interesting.”
The notation q → p represents the statement “The book is interesting
✔ if <-- Answer
the book has pictures.”
Step-by-step explanation:
I took the test aswell.
easy 10 points and brainliest :)
the line is vertical
hits the (0,0) but still on the y axis
describe fully the graph which has the equation x^2+y^2=16
The given equation is a circle with center = (0, 0) and radius = 4.
We compare the given equation with the standard form of a circle[tex](x-h)^2+(y-k)^2=r^2[/tex]
So, h = 0 , k = 0, [tex]r^2=16[/tex] or r = 4.
So the given equation is a circle with center = (0, 0) and radius = 4.
The graph is attached.
Learn more: https://brainly.com/question/8806877
Evaluate the function below:
Replace x in the equation with 2.
-2(2) +4 = -4 + 4 = 0
The answer is 0
.837537537 as a reapting decimal
Answer:
this is a reapeting decimal
Step-by-step explanation:
sum1 plz help me & explain it ! thank you :)
Answer:
D
Step-by-step explanation: 2 x square root of 2 is 2.8284.......
In a 200 page book, Alicia read 50 pages. What is the ratio of the number of pages Alicia read to the number of pages she has not read?
Answer:
jf
Step-by-step explanation:
f
Answer: 4
Step-by-step explanation: 4 because 200 divided by 50 is 4. The ratio is 4
11m - (6m - 5) = 25 solve for m please
Answer:
m = 4Step-by-step explanation:
[tex]11m - (6m - 5) = 25\\[/tex]
Use - to open the bracket
[tex]-(6m-5)= -6m+5[/tex]
[tex]11m-6m+5=25\\[/tex]
Collect like terms and simplify
[tex]11m-6m=25-5\\5m = 20[/tex]
Divide both sides of the equation by 5
[tex]\frac{5m}{5} = \frac{20}{5} \\\\m = 4[/tex]
3/7 divide by 2/3 what is that answer
Answer:
9/14
Step-by-step explanation:
to divide fractions flip the second fraction and then multiply
Answer:
9/14
Step-by-step explanation:
3/7 divided by 2/3 is equal to 3/7 times 3/2 which is 9/14
3(10 + 2) could be used to simplify which of the following problems? 130(26) 13(12) 13(20)
Answer:130(26).
Step-by-step explanation: It could basically be used to simplify 130(26) because if you multiply the number on the outside of the parentheses (13) with the numbers inside the parenthesis(10+2), you will get 130(26).
find the distance between each pair of points E(-1, 0),F(12, 0)
Answer:
The answer is
[tex]13 \: \: units[/tex]Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
E(-1, 0) and F(12, 0)
The distance between them is
[tex] |EF| = \sqrt{ ({ - 1 - 12})^{2} + ({0 - 0})^{2} } \\ = \sqrt{ ({ - 13})^{2} } \\ = \sqrt{169} [/tex]We have the final answer as
[tex]|EF| = 13 \: \: units[/tex]Hope this helps you
f(0) f(0)=3(0)^2-10(0)-4
There are 75 balloons in each package. How many balloons are in 20 packages?
1,405
1,500
95
150
1,500
Step-by-step explanation:
You multiply 75 times 20
Amira is solving the equation x2 – 6x = 1. Which value must be added to both sides of the equation to make the left side a perfect-square trinomial?
Answer:
its 9
Step-by-step explanation:
I have gotten it correct on ED
Answer:
the answer is 9
Step-by-step explanation:
I took the test edg 2020
The boiling point of water is 212°F. The boiling point of helium is –452°F.
How would you compare the temperatures using an inequality?
A. –452°F < 212°F
B. –452°F > 212°F
C. 212°F < –452°F
D. 212°F > –452°F
Answer:
Option A and Option D are correct
Hey There!!
(-12a^3b^5)/(4a^2b^7)
state any restrictions on the variable(s) if they exist.
PLEASE HELP DUE TODAYY
Restrictions are that 'a' and 'b' cannot be zero. We could write [tex]a \ne 0[/tex] and [tex]b \ne 0[/tex] as shorthand.
The restrictions are put in place to ensure that you can't divide by zero.
=========================================
Explanation:
The coefficients -12 and 4 divide to -12/4 = -3 which is the coefficient for the answer in the numerator.
The 'a' terms divide to (a^3)/(a^2) = a^(3-2) = a^1 = a. We subtract the exponents to simplify.
The b terms are handled in a similar manner to get (b^5)/(b^7) = b^(5-7) = b^(-2) = 1/(b^2)
Putting all three results together has us end up with (-3a)/(b^2) where neither 'a' nor b are zero to prevent a division by zero error. We cannot have 0 in the denominator.
Write a paragraph proof to prove the statement
We start with m < A + m < B = m < B + m < C as the given equation. We can rearrange the two terms on the right hand side to get m < A + m < B = m < C + m < B. From here, subtract m < B from both sides to end up with m < A = m < C. The angle B terms go away entirely. This rule I used was the subtraction property of equality. The next rule to use is the symmetric property to go from m < A = m < C to m < C = m < A. This rule is basically where we can flip the two sides of the equation and the equation is the same.
Please please help please!!
Answer:
The vertex is at (-2,-8)
Step-by-step explanation:
You go left 2, and down 8, and then it's a scale of 1
what is the fifth term of (x-2y)^7
Answer:
560x^3y^4.
Step-by-step explanation:
The (r+1)th term of (a + b)^r = nCr a^(n-r) b^r
We want the fifth term so r = 5 - 1 = 4:
(4 + 1)th term = 7C4 x^(7-4) (-2y)^4
= 35x^3 16y^4
= 560x^3y^4.
What is direct and inverse variation?
Answer:
Can you please make it more spicific or add a picture
Step-by-step explanation:
If X = {−1, 0, 2} and Y = {1, 2, 5}, find X ∪ Y.
Answer:
(0,-1,2,5)
Step-by-step explanation:
[tex]X = (-1, 0, 2)\\Y = (1, 2, 5)\\ \\X U Y = ?\\= (-1, 0,2,5)[/tex]