Answer:
The number of balloons varies directly with the number of tables. The two variables are directly proportional. The relationship of balloons to tables is the ratio 5:1, where 5 is the constant of variation. Use the equation y = kx, where k is the constant of variation resulting in the equation y = 5x.
Step-by-step explanation:
I did it and that is what it gave me
Solve the equation 3+
х
* = 10.
X=
Answer:
x=7
Step-by-step explanation:
subtracting 3 from both sides, you get x=7.
A business just took out a loan for $100,000 at 10% interest. If the business pays the loan off in three months, how much did the business pay in interest?
Answer:
$2,500
Step-by-step explanation:
The amount the business pay in interest can be calculated using the sinple interest formula as shown:
Simple Interest = Principal × Rate × Time/100
Given Principal = $100,000 (Loan)
Rate = 10%
Time (in years) = 3months = 3/12 years
Substituting the parameters into the formula we will have;
SI = 100,000×10×3/12×100
SI = 1000×30/12
SI = 30,000/12
SI = $2,500
Therefore the business pays an interest of $2,500
For f(x)=4x+1 and g(x) x2-5, find (g/f)
Answer:
(f+g) (x)=x^2+4x-4
Step-by-step explanation:
add them together
f(x)+g(x)
14x+1+x^2-5
x^2+4x-4
(f+g)(x)+x^2+4x-4
What is the slope between the points (3,1) and (4,-1)
Answer:
Step-by-step explanation:
(-1 - 1)/(4 - 3)= -2/1= -2
y - 1 = -2(x - 3)
y - 1 = -2x + 6
y = -2x + 7
Answer:
-2
Step-by-step explanation:
-1 -1
4-3
-2/1= -2
divide 0.12 by 0.04. That means we want to find out how many times 0.04, or four-hundredths, goes into 0.12, or twelve-hundredths.
Answer:
3
Step-by-step explanation:
0.12 ÷ 0.04
if we want to calculate without calculator ,
multiply both nenominator and denominator by 100;
Then,
(0.12×100)÷(0.04 ×100)
= 12÷4
= 3
Central Park in New York City is shaped like a rectangle. On a map of the park
in the coordinate plane, three of the vertices are located at (-1.25, -0.25),
(-1.25, 0.25), and (1.25, 0.25). Distances on the map are in miles. What is the
perimeter of Central Park? Show your work,
Answer:
6
Step-by-step explanation:
Given that the coordinate plane, three of the vertices of the rectangle are located at (-1.25, -0.25),
(-1.25, 0.25), and (1.25, 0.25)
The length L of the shape will be:
L = 0.25 - ( - 0.25 )
L = 0.25 + 0.25
L = 0.5
The width of the shape will be:
W = 1.25 - ( - 1.25)
W = 1.25 + 1.25
W = 2.5
Perimeter P = 2L + 2W
Substitute the Length and the width into the formula
P = 2(0.5) + 2(2.5)
P = 1 + 5
P = 6 metres
Therefore, the perimeter of the shape is 6 metres
Which of the following statements is true
regarding the solutions to the quadratic
equation 5x2 + 6x + 2 = 0?
Answer:
c. This quadratic equation has two complex solutions.
Step-by-step explanation:
Of the choices ...
a. This quadratic equation has exactly one real solution.
b. This quadratic equation has two real solutions.
c. This quadratic equation has two complex solutions.
d. This quadratic equation has no solutions.
The one that is true is c: two complex solutions.
__
The discriminant of quadratic ax^2 +bx +c = 0 is ...
d = b^2 -4ac
For this quadratic, the value is 6^2 -4·5·2 = -4.
When the discriminant is positive, there are two distinct real solutions.
When the discriminant is zero, there is one real solution.
When the discriminant is negative, there are two complex solutions. The discriminant of this quadratic is negative, so there are two complex solutions.
Math problem giving brainlist and points!!
Answer:
It would be B
Step-by-step explanation:
1/9 + 1/9 = * Your answer This is a required question
Answer:
2/9 obvi
Step-by-step explanation:
2/3 of a number -11. Please help
Answer:
(2/3)x = -11
x = -33/2
Step-by-step explanation:
2/3 of a number is -11.
Let the unknown number be x.
2/3 of x is -11.
(2/3)x = -11
Multiply both sides by 3/2.
(3/2)(2/3)x = (3/2)(-11/1)
x = -33/2
2^2+4^2+6^2......50^2
Answer:
422,500
Step-by-step explanation:
Since ^2 is comman
(2+4+6+8+10+12+14+16+18+20+22+24+26+28+30+32+34+36+38+40+42+44+46+48+50) ^2
= 650^2
=422,500
Hope this is correct plzz mark brainliest
You are choosing between two different cell phone plans. The first plan charges a rate of 22 cents per minute. The second plan charges a monthly fee of $34.95 plus 8 cents per minute. Let t be the number of minutes you talk and C1 and C2 be the costs (in dollars) of the first and second plans. Give an equation for each in terms of t, and then find the number of talk minutes that would produce the same cost for both plans (Round your answer to one decimal place). C1= C2= If you talk for minutes the two plans will have the same cost.
Answer:
249.64285714 minutes
Step-by-step explanation:
Let
The number of minutes you talk = t
C1 = Cost in dollars of the first plan
C2 = Cost in dollars of the second plan
First plan
The first plan charges a rate of 22 cents per minute
Converting cents to dollars
100 cents = 1 dollars
22 cents =
22/100 cents
=$ 0.22
C1 = $0.22 × t
C1 = 0.22t
Second Plan
The second plan charges a monthly fee of $34.95 plus 8 cents per minute.
Converting cents to dollars
100 cents = 1 dollars
8 cents =
8/100 cents
=$ 0.08
C2 = $34.95 + 0.08t
Find the number of talk minutes that would produce the same cost for both plans
We would Equate C1 to C2
C1 = C2
0.22t = $34.95 + 0.08t
Collect like terms
0.22t - 0.08t = $34.95
= 0.14t = $34.95
Divide both sides by 0.14
= t = $34.95/0.14
t = 249.64285714
Therefore, the number of talk minutes that would produce the same cost for both plans is 249.64285714 minutes.
Identify the terms, variables, coefficients and constants in each expression -4a-7b+5+c & 7-5h-2-k & 5-4x-8y & 9k+7-k+4 & -5a-7+5d+h & 7m-5-n-8k
Thank you!
Problem 1
Answers:Terms = -4a, -7b, 5, cVariables = a, b, cCoefficients = -4, -7, 1Constants = 5---------------------
Explanation:
Each term is separated by a plus sign. If we had something like -4a-7b, then rewrite it as -4a+(-7b). This works because subtraction is really adding a negative. Example: 2-3 = 2+(-3)
So the original expression becomes -4a+(-7b)+5+c and we see there are four terms here.
The terms with the variables are -4a, -7b and c. The variables are simply letters so we just say a,b,c are the variables. The coefficients are the numbers to the left of the variables. For the term c, it is really 1c, so the coefficient is 1.
The constant is the term without a variable multiplied with it. So that would be the 5. As the name suggest, the constant term does not change based on whatever the variables are.
=========================================================
Problem 2
Answers:terms = 7, -5h, -2, -kvariables = h,kcoefficients = -5, -1constants = 7, -2--------------------------------------
Explanation:
We'll follow the same idea as problem 1.
Rewrite 7-5h-2-k as 7+(-5h)+(-2)+(-k) and we see there are four terms.
The term -k is the same as -1k, so the coefficient is -1
The variables this time are h,k as those are the two letters that show up.
The constants are 7 and -2 because no variables are attached to them.
=========================================================
I'll let you do the rest. If you're still stuck, then please let me know
absolute value of -3 |xy|
Answer:
|-3| = 3
Step-by-step explanation:
2 to the power of -3 simplified
Answer:
= 1/8 or 0.125
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
A negative x a negative makes a positive
2(x + 4) = 4x + 3 - 2x + 5
please answer quickly!
Answer:
tanx
Step-by-step explanation:
tan=TOA
opp/adj
x=p/r
Suppose Clare labels the books at a constant speed of s books per minute. Write an equation that represents the relationship between her labeling speed and the number of minutes it would take her to finish labeling.
Answer:
75 minutes
50 minutes
Number of minutes to finish labelling = Total number of books labelled / Time taken to label them (speed of labelling)
Step-by-step explanation:
Complete question below:
Clare volunteers at a local library during the summer. Her work includes putting labels on 750 books.
How many minutes will she need to finish labeling all books if If she takes no breaks and labels:
a. 10 books a minute
b. 15 books a minute
Suppose Clare labels the books at a constant speed of books per minute. Write an equation that represents the relationship between her labeling speed and the number of minutes it would take her to finish labeling
Solution
a. 10 books a minute
Number of minutes to finish labelling all books at 10 books per minute = Total books / books labelled per minute
= 750 / 10
= 75 minutes
Number of minutes to finish labelling all books at 10 books per minute = 75 minutes
b. 15 books a minute
Number of minutes to finish labelling all books at 15 books per minute = Total books / books labelled per minute
= 750 / 15
= 50 minutes
Number of minutes to finish labelling all books at 15 books per minute = 50 minutes
c. The relationship between her labeling speed and the number of minutes is Total number of books labeled ÷ Time taken to label them
Number of minutes to finish labelling = Total number of books labelled / Time taken to label them (speed of labelling)
In the answer space below, provide one of the two positive integers whose product is 196 and whose sum is a minimum.
Answer:
14
Step-by-step explanation:
The value of two positive integers are 14 and 14.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Product of two positive integers are 196.
Sum of two positive integers are minimum.
Now,
Let two positive integers are x and y.
Since, Product of two positive integers are 196.
So, we can formulate;
xy = 196 ... (i)
And, Sum of two positive integers are minimum.
So, we can formulate;
s = x + y
From equation (i);
y = 196/x
Substitute in above equation, we get;
s = x + y
s = x + 196/x
Differentiate with respect to x as;
d/dx (s) = d/dx(x + 196/x)
ds/dx = 1 - 196/x² ... (ii)
Substitute ds/dx = 0, we get;
ds/dx = 1 - 196/x² = 0
1 - 196/x² = 0
1 = 196/x²
x² = 196
x = ± 14
Differentiate equation (ii) again;
d²s/dx² = 0 - (-2 × 196)/x³
d²s/dx² = 392/x³
At point x = 14,
d²s/dx² = 392/8³ > 0
Hence, At x = 14, the value is minimum.
So, we get;
xy = 196
at x = 14
y = 196/14
y = 14
Hence, The value of two positive integers are 14 and 14.
Learn more about the product visit:
https://brainly.com/question/13778771
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plz help i will mark you branlyest also plz answer both questions
Answer:
D(1, -2)
E(3, -4)
Which percent is equivalent to 2.5?
2.5%
25%
250%
2,500%
Please hurry
Move the decimal point 2 spots to the right to go from 2.5 to 250%
Another example would be that 0.76 converts to 76%
Answer:
c
Step-by-step explanation:
What are two consecutive integers of 184
The size of a playground is 160 feet by 360 feet. A model is created that measures 4 inches by 9 inches. Is it a rate, ratio only or a proportion?
Answer:
The model is made in a 1:40 ratio
Step-by-step explanation:
How many times is 4 multiplied to be equal to 160?
4(x) = 160
X = 160 / 4
X = 40
The proportion, rate, and ratio are almost the same.
They represent the correspondence between the parts and the whole since they all express a binary relationship between the quantities, that is, objects, people, tablespoons.
If the ratio is 1: 2 it could be read that for every 1 there are 2.
For example 1: 2 cups; For every cup of something there are 2 cups of something else.
In this case, 1:40; For every inch of the model, there are 40 feet in the playground.
2/m-5=3/m+5 solve for m
Answer:
-1/10
Step-by-step explanation:
Answer: m= −1 /10
Step-by-step explanation:
2 m −5= 3 m +5
2 m +−5= 3 m +5
Multiply all terms by m and cancel:
2+−5m=3+5m
−5m+2=5m+3(Simplify both sides of the equation)
−5m+2−5m=5m+3−5m(Subtract 5m from both sides)
−10m+2=3
−10m+2−2=3−2(Subtract 2 from both sides)
−10m=1
−10m
−10
=
1 −10
(Divide both sides by -10)
m= −1 /10
Check answers. (Plug them in to make sure they work.)
m=
−1 /10
(Works in original equation)
m= −1 /10
S=Ut + 1\2 at^2
U=10 a=-2 t=1\2
Work out the value of S
Hope u guys get this!
A fitness center offers boxing classes for $15 per class and sells a set of boxing gloves for
$15.95. Josh paid a total of $135.95 to the fitness center for boxing classes and a set of gloves.
How many boxing classes did Josh attend?
Answer:
8
Step-by-step explanation:
total paid: $135.95
cost of gloves: $15.95
amount for classes: $135.95 - $15.95 = $120
cost of each class: $15
number of classes: $120/$15 = 8
Answer: 8 classes
Carol walks a circular path with a radius of 280 yards at the local park. How far does she walk? round your answer to the nearest tenth.
Answer:
1508.6
Step-by-step explanation:
circumference=2πr
=2×22/7×240
=1508.57
=1508.6
what is a two variable linear equation
Answer: Linear equations in two variables. If a, b, and r are real numbers (and if a and b are not both equal to 0) then ax+by = r is called a linear equation in two variables. (The “two variables” are the x and the y.) The numbers a and b are called the coefficients of the equation ax+by = r.
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
It's an equation that has two variables
that's to say it has x and y (generally)
it is linear when you graph it, it forms a line and that only happens when the mayor exponent is one
so
[tex](something_1)x^{1}+(something_2)y^{1} =(something_3)[/tex]
notice all the something are completely different
or you could find it as
[tex]y=mx+b[/tex]
where m is the slope
and b some number
so that's it
Round to the nearest hundred thousand. 636,665
Answer:
600,000
Step-by-step explanation:
I think that it will be 600,000 because the 3 is below 5 which you can not round anything that is below 5.This what I look at when i Round and it may or may not be helpful to other people:
5 or more raise the score
4 or less let it rest
That is what I learned.
Help me I need the answer ASAP ! Aundrea painted the background of a square mural on the wall using 138ft^2 of paint .which measurement is closest to the side length of this mural in feet ?
A.69 ft
B.12 ft
C.139 ft
D.35 ft
Hey there! I'm happy to help!
Since this mural is a square, all the sides are the same. This means that you square on of the sides to get the area (multiply it by itself). If we have the area and want to find a side, we just go backwards and use something called the square root!
If we plug this into our calculators...
√138≈11.74734
We see that is closest to B. 12 ft.
You could also figure this out without a calculator. 138 is very close to 144, which is 12². All the other answer options are way too big.
Have a wonderful day! :D