Answer: x=17/5
Step-by-step explanation:
REALLY NEED HELP. BEST ANSWER GETS BRAINLIEST.
y is directly proportional to √x.
y is 80 when x=100.
Find a formula linking x and y.
Answer:
Example 1: Y is directly proportional to x. When x = 5, y = 8. What does y equal when x = 9?
First, we set up our general equation. Because y is directly proportional to x, we have:
y = cx
where c is the constant of proportionality. In other words, when x goes up, y goes up, and when x goes down, y goes down.
The next thing we do is plug our values for x and y into the equation so we can solve for c:
8 = (c)(5)
Solving for c, we get c = 8/5 = 1.6 and we plug this into our equation:
y = 1.6x
Now, we can plug x = 9 into the equation to find out what y equals:
y = (1.6)(9)
y = 14.4
So, our answer is 14.4
Example 2: Y is directly proportional to the square of x. When x = 2, y = 32. What does y equal when x = 5?
This time, our general equation is slightly more complicated because x is squared:
y = cx2
Like before, we solve for our constant:
32 = (c)(22)
32 = (c)(4)
We get c = 8:
y = 8x2
Solving for y when x = 5, we get y = (8)(52) = (8)(25) = 200
Example 3: Y is inversely proportional to x. When x = 2, y = 8. What does y equal when x = 24?
This time, because y is inversely proportional to x, our general equation is different:
xy = c
so when x goes up, y goes down, and vise versa. But, other than that, we solve these kinds of problems the same way as direct proportion problems. Solving for the constant, we get:
(2)(8) = c
So c = 16 and our equation is now:
xy = 16
Solving for y when x = 24 we get y = 16/24 = 2/3
Example 4: Y is inversely proportional to the square root of x. When x = 36, y = 2. What does y equal when x = 64?
As before, we set up our equation:
eq001
Since the square root of 36 is 6, it is easy to solve for c:
(6)(2) = c
We get c = 12 and our equation is now:
eq002
Solving for y when x = 64 we get 8y = 12 or y = 12/8 = 1.5 because the square root of 64 is 8.
Step-by-step explanation:
Example 1: Y is directly proportional to x. When x = 5, y = 8. What does y equal when x = 9?
First, we set up our general equation. Because y is directly proportional to x, we have:
y = cx
where c is the constant of proportionality. In other words, when x goes up, y goes up, and when x goes down, y goes down.
The next thing we do is plug our values for x and y into the equation so we can solve for c:
8 = (c)(5)
Solving for c, we get c = 8/5 = 1.6 and we plug this into our equation:
y = 1.6x
Now, we can plug x = 9 into the equation to find out what y equals:
y = (1.6)(9)
y = 14.4
So, our answer is 14.4
Example 2: Y is directly proportional to the square of x. When x = 2, y = 32. What does y equal when x = 5?
This time, our general equation is slightly more complicated because x is squared:
y = cx2
Like before, we solve for our constant:
32 = (c)(22)
32 = (c)(4)
We get c = 8:
y = 8x2
Solving for y when x = 5, we get y = (8)(52) = (8)(25) = 200
Example 3: Y is inversely proportional to x. When x = 2, y = 8. What does y equal when x = 24?
This time, because y is inversely proportional to x, our general equation is different:
xy = c
so when x goes up, y goes down, and vise versa. But, other than that, we solve these kinds of problems the same way as direct proportion problems. Solving for the constant, we get:
(2)(8) = c
So c = 16 and our equation is now:
xy = 16
Solving for y when x = 24 we get y = 16/24 = 2/3
Example 4: Y is inversely proportional to the square root of x. When x = 36, y = 2. What does y equal when x = 64?
As before, we set up our equation:
eq001
Since the square root of 36 is 6, it is easy to solve for c:
(6)(2) = c
We get c = 12 and our equation is now:
eq002
Solving for y when x = 64 we get 8y = 12 or y = 12/8 = 1.5 because the square root of 64 is 8.
Answer:
y = 8
Step-by-step explanation:
because y is directly proportional to .√x
=> y = a√x
but when x = 100, y = 80
=> 80 = 10a
=> a = 8
=> y = 8√x
You earn $42 for washing 6 cars. How much do you earn for washing 3 cars? Find the unit rate.
Answer:
21$
Step-by-step explanation:
42÷6=7
7×3=21
Answer:
21 ( unit rate is 7$ per car)
Step-by-step explanation:
First you divide 42 by 6 which equals 7
and then you do 7x3 which equals 21
A town with a population of 27,530 has voted to allot 37.5% of the entire budget to education. If the education budget is $285,000, what is the total budget?
Answer:
the total budget is $760,000
Step-by-step explanation:
The computation of the total budget is shown below:
Given that
Population = 27,530
37.5% of the entire budget to education
Education budget be $285,000
So, the total budget is
= $285,000 × 100 ÷ 37.50
= $760,000
Hence, the total budget is $760,000
What is the degree of g(x) = 5x + 6x7 – 8x3?
(pls help will cash app you 5$)
Answer:
7
Step-by-step explanation:
Here, we want to get the degree of the polynomial
Mathematically, the degree is the power to which the highest power in the polynomial is raised
looking at the polynomial, we can see that the highest power here is raised to the power of 7
that means that the polynomial is of degree 7
Carmen's butterfly has wings that are 25 centimeters long. How many millimeters is the length of the wings?
Answer:
250 millimeters
Step-by-step explanation:
Answer:
The wings are 250 mm long.
Step-by-step explanation:
A car starts moving at 9:00 am and moves at a constant speed. At what time will the car be at the distance 200 miles from the starting point, if at 9:30 it was at 20 miles from it.
. i got the answer of 2:00
Step-by-step explanation:
yea
Answer:
1:30
Step-by-step explanation:
This is correct
Make t the subject of the formula.
x=3t+2/t-1
Answer:
t = 2+x / x-3
Step-by-step explanation:
x = 3t + 2 / t - 1
x * (t-1) = 3t + 2
xt - x = 3t + 2
xt - 3t = 2 + x
t(x - 3) = 2 + x
t = 2+x / x-3
When Sam and his friends get together, Sam makes orange soda by mixing orange juice with soda (sparkling water). On Friday, Sam makes 7 liters of orange soda by mixing 3 liters of orange juice with 4 liters of soda.On Saturday, Sam makes 9 liters of orange soda by mixing 4 liters of orange juice with5 liters of soda. Make a prediction about how the two orange sodas will compare in taste. Explain your reasoning.
Answer:
Friday's drink will taste more like soda and Saturday's drink will taste more like orange juice.
Step-by-step explanation:
Not sure if this is the exact answer you want, but we can use fractions to determine how much one drink tastes compared to the other.
For Sam's Friday drink, we see that he makes 7 liters of orange soda by mixing 3 liters of orange juice with 4 liters of soda. As such, we know that [tex]\frac{3-liters-of-orange-juice}{7-total-liters}[/tex] and [tex]\frac{4-liters-of-soda}{7-total-liters}[/tex].
For Sam's Saturday drink, we can also approach it the same way: the drink has [tex]\frac{4-liters-of-orange-juice}{9-total-liters}[/tex] and [tex]\frac{5-liters-of-soda}{9-total-liters}[/tex]
Now, we can just compare the fractions with each other:
[tex]\frac{4-liters-of-orange-juice}{9-total-liters}[/tex] > [tex]\frac{3-liters-of-orange-juice}{7-total-liters}[/tex] and
[tex]\frac{4-liters-of-soda}{7-total-liters}[/tex] > [tex]\frac{5-liters-of-soda}{9-total-liters}[/tex].
So we know that the Saturday drink will probably taste more like orange juice than the Friday one. Conversely, we know that the Friday drink will probably taste more like soda than the Saturday one.
answer pls!
asap. i need help
Answer:
18°
Step-by-step explanation:
x + 140° + 22° = 180° { being sum of angles of triangle }
x + 162° = 180°
x = 180° - 162°
x = 18°
Hope it will help :)
A painter is painting a rectangular wall that measures 30ft by 14.5ft.Each gallon of paint covers 100 square feet.What are the FEWEST gallons needed to paint the wall?
Answer:
5 gallons
Step-by-step explanation:
area of wall is 435 sq ft
100 sq ft requires 1 gallon so 435 sq ft requires at least 5 gallons
Place the relative frequencies in their correct spots on the tables. Round your answers to the nearest hundredth.
Answer:
I can't place them it is a picture
Step-by-step explanation:
The conversion between UK pounds and US dollars is 1:1.42. If I want to
convert £300 to dollars, how many dollars would l have?
Answer:
300 Pound sterling equals
417.84 United States Dollar
Step-by-step explanation:
Jaqui estimates that the water in a pool is 90 cm deep. The pool is actually
120 cm deep. What is the percent of error in Jaqui's estimate? *
Answer quick please!
Answer:
25%
Step-by-step explanation:
90 / 120 = .75 or 75%
Verify: 120*.25 = 30
question in the image attached.
Answer:
G
Step-by-step explanation:
you have a 1 out of 6 chance of getting 11
Answer:
B
Step-by-step explanation:
There are 6 options to choose from.
11 is one of those 6 cards.
Therefore, the probability will be 1/6, or B
Hope that helps!
-scsb17hm
Score Frequency
1
a
5
2
4
Mean score= 5
What is a?
Answer:
not so sure but thinks is 13
5xy+10x^2-y-2x
ASAP PLEASS
Answer:
241
Step-by-step explanation:
There are 5 red marbles, 15 blue marbles, and 5 green marbles in a bag. If you reach in and randomly draw two marbles without replacing the first, what is the probability that both will be blue?
Answer:
1 /30
Step-by-step explanation:
25 marbles in total
P(B,B) = 5/25 x 4/24
= 1/5 x 1/6
Jordan used the distributive property to write an expression that is equivalent to 6c – 48.
6c - 48 is equivalent to 6(c - 48)
Is Jordan’s work correct? Choose the correct answer.
Yes, Jordan’s work is correct.
No, Jordan forgot to divide 48 by 6.
No, Jordan forgot to subtract 6 from 48.
No, Jordan forgot to multiply 6 and 48.
Answer:
The answer is No, Jordan forgot to divide 48 by 6. Also B
Step-by-step explanation:
X2-(2x+3)
Elimina los signos de agrupación
A rectangle soccer field is 64 m wide and 100 m long what is the length of the dialogue of the soccer field rounded to the nearest meter
Answer:
L=100m
b=64m
length of diagonal=√(100²+64²)=118.72m
Jason's family drove 120 miles using 5 gallons of gas. At this rate, how many miles can they drive on 8 gallons of gas?
what is the measurement for N?
Answer:
ans: (D) 141°
Step-by-step explanation:
since, straight angle has 180°
180 = 39 + N
N = 180 - 39
N = 141°
This is trigonometry btw
Answer: x = 13.3
Step-by-step explanation:
Use SOHCAHTOA
The opposite of the angle and the adjacent of the angle is given, so use tangent.
tan(35) = x/19
19*tan(35) = x
x = 13.3
6th grade math help me pleaseeee
Answer:
T I hope this helps:D
38- Blank:_____=12c+4+3c
Answer:
38-15c-4
Step-by-step explanation:
38-x=12c+4+3c
38-x=15c+4
x=38-15c-4
Hey can you please help me
Do you guys ever just sit there and realize how not ok you are?
Answer:
Y e s
Step-by-step explanation:
all the time
I gotta mop the ocean now ;-;
excoose meh
Three more than the product of 3 and a number is less than 18
Answer:
x < 5
Step-by-step explanation:
Mark the number as x
Then 3x + 3 < 18
// divide both sides by 3
x + 1 < 6
x < 6 - 1
x < 5
1/8 =2/5*x
x=????????????????
Answer:
x= 5/16
Step-by-step explanation:
1/8 = 2/5x
1/8 divided by 2/5 is 5/16
5/16=x
Answer:
x = 5/16
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityStep-by-step explanation:
Step 1: Define
1/8 = 2/5x
Step 2: Solve for x
[Division Property of Equality] Divide both sides by 2/5: 5/16 = xRewrite/Rearrange: x = 5/16Mrs. Neville is baking five batches of cookies. She will need 2 \frac{1}{2} 2 1 cups of flour for each batch of cookies. If she begins with a 20 cup bag of flour, what is the resulting change in the amount of flour in the bag?
Answer:
12.5 cups used
7.5 cups left
Step-by-step explanation:
Number of batches = 5
Cups of flour per batch = 2 1/2 cups
Initial amount of flour = 20 cup bag
After 5 batches ; number of cup used :
5 * 2 1/2 = 12.5 cups of flour
Change in amount of flour in bag :
(20 cups - 12.5 cups) = 7.5 cups