Answer:
1: No, this is not direct variation
2: Yes, this is direct variation with k= 2.34
Step-by-step explanation:
I’m Just Built Different
A room is an exclusive Dubai hotel costs $× pe4 night. The price then changes to $4370 per night after a decrease of 5% and a increase of 15%. Find ×
Answer:
The value of x is $4000.
Step-by-step explanation:
Let's call x to the original price per night of a room in the Dubai hotel.
The price first decreased by 5%. Calculate 5% of x:
5 * x / 100 = 0.05x
Now subtract it from the original price:
x - 0.05x = 0.95x
This new price is then increases 15%. Calculate 15% of 0.95x:
15 * 0.95x / 100 = 0.1425x
Add it to the previous price:
0.95x + 0.1425x = 1.0925x
This price is equal to $4370, thus:
1.0925x = 4370
x = 4370 / 1.0925
x = 4000
The value of x is $4000.
Justin and his children went into a grocery store and he bought $18 worth of bananas and mangos. Each banana costs $0.60 and each mango costs $1.50. He bought 2 more bananas than mangos. Graphically solve a system of equations to determine the number of bananas, x, and the number of mangos, y, that Justin bought.
Write an answer in y=mx+b form, please.
Two equations.
Answer:
x=10 and y= 8.
Step-by-step explanation:
Given that the cost of 1 banana = $0.60
Cost of 1 mango = $1.50.
Total cost= $ 18
Here, x be the number of bananas and y be the numbers of mangos,
As the number of bananas is 2 more than the number of mangos,
So, x=y+2
[tex]\Rightarrow y=x-2 \cdots(i)[/tex]
Cost of x bananas [tex]=\$ 0.60 \times x[/tex]
Cost of y mangos [tex]=\$ 1.50 \times y[/tex]
Total cost = 0.6x+1.5y
[tex]\Rightarrow 18 = 0.6x+1.5y\\\\\Rightarrow 1.5y=18-0.6x\\\\\Rightarrow y= 12 - 0.4 x \cdots(ii).[/tex]
Solving both the equations (i) as well as (ii), graphically as shown in the figure by plotting both the graphs.
Both the graphs intersect at the point (10,8) as shown in the graph.
So, the solution of both the equations is, (x,y)=(10,8). i.e
The number of bananas = x= 10 and
the number of mangos = y = 8.
The area of a square is 1,521 cm2. Find the length of a side of the square by
prime factorisation method.
9514 1404 393
Answer:
39 cm
Step-by-step explanation:
1521 = 3·3·13·13 = (3·13)² = 39²
The length of the side of the square is 39 cm.
How do you solve this? Please help!
Answer:
b
Step-by-step explanation:
u can use the ration method
15:15+36
20:6x-7
then cross multiply
and x =12.5
Answer:
x = 12.5
Step-by-step explanation:
The large outer triangle and the small inner triangle are similar, thus the ratio of their corresponding sides are equal, that is
[tex]\frac{20}{6x-7}[/tex] = [tex]\frac{15}{15+36}[/tex] = [tex]\frac{15}{51}[/tex] ( cross- multiply )
15(6x - 7) = 1020 ( divide both sides by 15 )
6x - 7 = 68 ( add 7 to both sides )
6x = 75 ( divide both sides by 6 )
x = 12.5
Listen Rachel babysat three children for five hours if they were paid $2.50 per hour for each child and divided their earnings equally how much did each girl receive
Answer: Each girl will receive $18.75.
Step-by-step explanation:
Given: Two girls babysat three children for five hours.
Hourly pay for each child = $2.50
Payment for 5 hours per child = [tex]5\times\$2.50=\$12.5[/tex]
Payment to 3 children for 5 hours = [tex]3\times \$12.5=\$37.5[/tex]
So, the amount received by each girl = [tex]\dfrac{\text{Payment to 3 children for 5 hours}}{2}[/tex]
[tex]=\dfrac{37.5}{2}=\$18.75[/tex]
Hence, each girl will receive $18.75.
Unit 2 lesson 5 practice problem 3 in math workbook
You get 15 points if you answer this.
Answer:
what do you need help with???
what are the solutions of the following system?
[tex]\left \{ {{x -2y = -6} \atop {-2x + 4y = -3}} \right.[/tex]
Step-by-step explanation:
x-2y=-6 ...(1)
-2x+4y=-3 ...(2)
Multiply equation (1) by 2
So,
2x-4y=-12 ...(3)
Now add equation (2) and (3).
-2x+4y + 2x-4y = -3+(-12)
0=-15
It means that there is no solution of the given equations.
Can someone please help me sort them out into True, Not True and Cannot Be Determined
Answer:
the first, second, and fifth
Step-by-step explanation:
hope this helps :-)
I need help!!!!
Write an equation of the line that passes through the points.
(0, −2), (4, −2)
First you need to find the slope: (y2 - y1)/(x2 -x1) = (-4 -(-4))/(0-2) = 0. So the line is horizontal, which means the y coordinate is constant and equal to -4, so the equation of the line is y = -4.
Does this table represent a direct variation?
Answer:
yes, correct me if im wrong
Step-by-step explanation:
No it is not a direct variation or A
Evaluate the expression when c= 3.
c²+6c-3
Answer:
21
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define
c² + 6c - 3
c = 3
Step 2: Evaluate
Substitute: 3² + 6(3) - 3Exponents: 9 + 6(3) - 3Multiply: 9 + 18 - 3Add: 24 - 3Subtract: 21If 20 apples cost $7, what is the unit cost?
Answer:
35 cents per apple
Step-by-step explanation:
its 7 / 20 and you get 0.35
Compare the numbers
Answer:The answer is ≥ greater than or equal to
can you mark me Brainliest please
What is the LCD of 49:63
Answer:
21
Step-by-step explanation:
Answer:
411
Step-by-step explanation:
please help me please please nice brainly people pls
Answer:
I think your answer is B= 12.
Step-by-step explanation:
Its x times 1 .33333 = y
brainliest?
Natalie wants to start a business, she is going to make bracelets. She spends $40 for a braiding device and materials to start her business. Each times she makes a bracelet it costs her $8 in materials and packaging. Natalie sells her bracelets for $8 each.
y=9+9 because when you take that factor off you add 8 + 1
Solve the system by elimination.
2x-5y=8
x-3y=-1
Answer:
hope this helps you dear
What is the sum of 6 and y
Answer:
6+y
Step-by-step explanation:
6+y is the ans as the question has asked to sum of them but it has not given any other clues
Answer:
i got 6y
Step-by-step explanation:
A new recreational sports center opens with 65 members. Each month the membership
increases by 12 members. Which equation represents the relationship between the
number of months the club has been opened, x, and the total recreational sports center
membership, y?
A y = 12x
B y = x + 12
C y = 12x + 65
D y = 65x + 12
1. Judy took $15 with her to spend on popcorn and drinks for herself and her friends at the movie theater. The price for each bag of popcorn was $3. The price of each drink was half the price of a bag of popcorn.
(a) Sketch the graph that represents the situation and label the intercepts. Use one axis to represent the number of bags of popcorn and the other axis to represent the number of drinks
I cant figure it out-
You know that the popcorn cost $5.00 so the drinks would cost $2.50 each. So when you plot the points you would reach $10.00 for popcorn and have $5.00 for drinks. $15.00 for popcorn and $7.50 for drinks.
Step-by-step explanation:
Judy has $30 to spend.
The price per bag of popcorn is $5.
The price per drink is $2.50.
is your equation
Find all solutions by factoring.
c? + 13c + 40 = 0
Answer: c = -5, -8
Step-by-step explanation:
c^2 +13c+40=0
(c+5)(c+8)=40
c = -5, -8
shaun had a collection of 840 matchbox vehicles. of these vehicles, 15% are four wheelers and 30% are convertibles. the rest are fast cars. how many fast cars are shaun matchbox box.
Answer:
462 fast cars please mark brainliest
Step-by-step explanation:
it for dreelliot only 2+2 = ?
Answer:
4
Step-by-step explanation:
+
that is as simple as I could put it you literally just need to count the skulls
The coin jar was filled with pennies and nickels in the ratio of 7 to 2. If there were 28 nickels in the jar, how many coins were there?
What is the length of a segment with endpoints at (-3,4) and (4,4)
Answer:
The length is 8
Step-by-step explanation:
Maliah goes to an electronics store. Let y represent the price of a laptop and let z represent the price of a television. The equation
y=32 + 12 relates the prices.
Answer:
hi
Step-by-step explanation:
Kyle deposited $1200 in a savings account that earns 4.25% simple annual interest. If kyle keep the money in the account for 4 years what is the new balance?
Answer:
If kyle keeps the money in the account for 4 years, the new balance is $1,417.37.
Step-by-step explanation:
You can use the formula to calculate the future value to find the money in the account after 4 years:
FV=PV*(1+i)^n
FV= future value
PV= present value=$1,200
i= interest rate=4.25%=0.0425
n=number of periods of time=4
FV=1,200*(1+0.0425)^4
FV=1,200*(1.0425)^4
FV=1,417.37
According to this, the answer is that if kyle keeps the money in the account for 4 years, the new balance is $1,417.37.
What is a possible solution set to x + 7 ≤ -9 ?
Answer:
Step-by-step explanation:
x + 7 ≤ -9 subtract 7 from both sides
x≤-16 this is your answer
If you're plotting it will be (-∞,-16]
Answer:
Step-by-step explanation:
For this equation, all it is asking is to replace the unknown value with a number that completes the equation. However, the number must make the equation valid. Here is a few examples that could be a valid solution to this problem:
1. -55 + 7 < -9
(you don't need to solve this equation to tell that it's less than negative nine.)
2. 22 + (-98) + 7 < -9
(this is more complicated, but you can still tell that the sum is less than negative nine.)
So, basicly all that you have to do is replace the missing value with a number that gives the eqquation a sum less than negative nine. Hope this helped!!! :)
PLEASE HELP ME LIKE IM GOING TO CRY ILL give you brainliest if the answer is correct and 20/40 points..............Ben participated in a race. During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours. During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. What equation could you write to solve for the number of hours Ben ran during each half of the race? Let y represent the number of miles in half the race. Write two equations, one for the first half of the race and one for the second half. How could you transform these two equations to be the same as the original equation you wrote to solve for x? What do you think this means about solving for the variables in a situation represented by two equations?
Answer:
Answer are at the bottom!
Step-by-step explanation:
First equation: y=5x
Second equation: y=5.5x
Unit rate:
x/5.5
5.5/5.5
x/1
Hope this helps!
simplify the expression -9x-8+4x+7
Answer: 5x - (-1)
Step-by-step explanation:
Answer:
-5x-1
Step-by-step explanation:
First combine like terms
-9x-8+4x+7 combine -9 and 4
-5x-8+7 then combine -8 and 7
-5x-1