Answer:
2.5
Step-by-step explanation:
x=8 x=4
y=5 y=2.5
is ratio problem
If y varies directly with x and y = 5 when x= 8 . then the value of y when x = 4 is 2.5
What is directly proportional and inversely proportional relationship?Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
p = kq
where k is some constant number called constant of proportionality.
If y varies directly with x and y = 5 when x= 8 . then we need to find y when x = 4
Therefore, y = kx
k = y/x
k = 5/8
Then y = kx
y = (5/8)4
y = 5/2
y = 2.5
Learn more about directly inversely proportional relationship variable here:
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If you borrow $450.00 at a 5% interest, how much will you pay in one month?
Answer: Between about 31 and 33 dollars per month
Step-by-step explanation:
A blue scarf is 7/8 of a yard in a race car is 5/8 of a yard find the difference in length of the two scars write your answer as a simplified fraction
Answer:
Difference in length = 1/4 yards
Step-by-step explanation:
Given:
Blue scarf in yard = 7/8 yard
Another car in yard = 5/8 yard
Find:
Difference in length
Computation:
Difference in length = Blue scarf in yard - Another car in yard
Difference in length = 7/8 - 5/8
Difference in length = 2/8
Difference in length = 1/4 yards
Josh has 212 marbles. Peck has 314 marbles. Round each number to the nearest hundred. Then, type how much marbles more does Peck have.
Round each number to the nearest hundred.
212 = 200.
314 = 300.
How much more marbles does Peck have?
314 - 212 = 102.
That is your answer. Hope this helps!
Answer:
100 more marbles
Step-by-step explanation:
So first let's round the numbers to the nearest hundred. So 212 rounds to 200, and 314 rounds to 300. Then we do 300-200 and get 100. SO the answer is 100.
Which number is the same distance from 0 on a number line as 3/2 answers -3 -3/2 -2/3 2/3 3
Answer: -3/2
Step-by-step explanation:
To find its distance away from 0, then just find its opposite.
On the number line if you graph 3/2, its opposite will be -3/2
Find z such that the proportion of observations that are less than z in a standard normal distribution is 0.23. (Enter your answer rounded to two decimal places.)Z=______
Answer:
-0.74
Step-by-step explanation:
The computation of Z is shown below:
According to the question, data provided in the question is as follows
P(Z > Z) = 0.23
Based on the above information, the calculation for Z is
Use the table of the standard normal distribution for z
By using this the Z value comes is -0.74
hence, in case of the standard normal distribution, the value of z is -0.74 and the same is to be considered
NEED HELP ASAP (30Points!!) Which answers are examples of the Law of Syllogism? Select each correct answer. A) If there is a children’s movie playing at the cinema, Maria’s mother will take her to see it. When Maria’s mother takes her to the movie, she buys Maria popcorn. Therefore, if there is a children’s movie playing at the cinema, Maria’s mother will buy popcorn for Maria. B) If a square is a rectangle and if a rectangle is a parallelogram, then a square is a parallelogram. C) If a quadrilateral is a rectangle with 4 equal sides, then it is a square. Quadrilateral ABCD is a rectangle with 4 equal sides. Therefore, quadriateral ABCD is a square. D) Sally goes to the mall every Saturday. Today is Saturday. Therefore, Sally will go to the mall today.
Answer:
The correct answer is: (just took the test)
if a square is a rectangle and if a rectangle is a parallelogram, then a square is a parallelogram
if there is a children’s movie playing at the cinema, Maria’s mother will buy popcorn for Maria
Step-by-step explanation:
For the given answers the answers that follow the law of syllogism is options A and B.
Given that,
4 statement is given, and we have to pick the statement that follows the low of syllogism.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here
There are only two statements that are following the law of syllogism. ie.
A. If there is a children's movie playing at the cinema, Maria's mother will take her to see it. When Maria's mother takes her to the movie, she buys Maria popcorn. Therefore, if there is a children's movie playing at the cinema, Maria's mother will buy popcorn for Maria.
B. If a square is a rectangle and if a rectangle is a parallelogram, then a square is a parallelogram.
C. and D. are invalid statement because it does not follow the Law of Syllogism.
Thus, for the given answers the answers that follow the law of syllogism is options A and B.
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If 20% of X =y, then y% of 20 is the same as:
Answer:
4% of x
Step-by-step explanation:
20% of x
20% of x = 0.2x20% of x = y ⇒ 0.2x = yy% of 20
y% of 20 = 20*y/100 = 0.2y0.2y = 0.2*0.2x = 0.04xy% of 20 = 4% of xHope it is what you are looking for
If i am in texas then I am in the south
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
Of the United States, true, you are in the south.
Texas is a southern state of the USA.
Of the world, false, you are more north than south, and also you are around the middle north of the world.
The pictures I attached are maps of the USA and the world.
As you can see in the USA map, Texas is one of the states are are the lowest.
But if you look at the world map, Texas is not very south.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
The expanded form for 300684 can be written with only 4 add ends. Explain how this is possible for a number with 6 digits
Answer:
This can be because our number, 300,684, has only four digits different than zero.
Then we can write this number as:
300,684 = 300,000 + 600 + 80 + 4.
So we add only 4 terms.
So when we write a number in this form, we will have the same numbers of terms in the addition that the number of digits different than zero in our original number.
Factor this trinomial 4x^2-6x-10 If you can please try to show me how to do it.
Answer:
[tex]=2(2x-5)(x+1)[/tex]
Step-by-step explanation:
So we have the trinomial:
[tex]4x^2-6x-10[/tex]
First, factor out a 2:
[tex]=2(2x^2-3x-5)[/tex]
Now, factor within the parentheses.
To do so, we want to find two numbers. When multiplied, these two numbers must equal (a)(c) and when added, they must equal b
(a)(c) is 2(-5) or -10 and b is -3. So, we want two numbers that when multiplied together gives -10 and when added gives -3.
-5 and 2 works. Therefore:
[tex]=2(2x^2-3x-5)[/tex]
Replace -3x with 2x and -5x:
[tex]=2(2x^2+2x-5x-5)[/tex]
Factor out a 2x for the first two terms. And factor out a negative 5 for the remaining two:
[tex]=2(2x(x+1)-5(x+1))[/tex]
Grouping:
[tex]=2(2x-5)(x+1)[/tex]
And we're done!
Write the following number in standard form.
one hundred four billion, twenty-seven thousand, five hundred seventy-one
140,027,000,571
140,270,571,000
104,000,027,571
104,000,270,571
Answer:
The third one, 104,000,027,571
Step-by-step explanation:
The first and second ones are not the answers because the problem does not say one hundred forty billion.
The last one is not the answer because the problem doesn't say two hundred seventy thousand.
Thus leaving the third one, which fits the description of the number.
what is -1/3 + (-5/6) step by step
Answer:
[tex]-\frac{7}{6}[/tex]
Step-by-step explanation:
Change -1/3 to match denominators with -5/6: 3 × 2 = 6, -1 × 2 = -2Re-write the expression: -2/6 + (-5/6)Simplify: -2/6 - 5/6[tex]-\frac{2}{6} - \frac{5}{6} = -\frac{7}{6}[/tex]I hope this helps!
Answer:
-7/6
Step-by-step explanation:
-1/3=-2/6
-2/6-5/6=-7/6
Bepotastine besilate (BEPREVE) ophthalmic solution contains 1.5% w/v of the therapeutic agent. Express this concentration in mg/mL.
Answer:
15mg/ml
Step-by-step explanation:
Percent mass per volume ( % m/v) is unit expression that tells us how many grams of a solute that we can find 100 ml of a particular solution.
In the above question, we are asked to express 1.5%w/v Bepotastine besilate (BEPREVE) ophthalmic solution as mg/mL
Step 1
1.5% w/v = 1.5 g of Bepotastine besilate (BEPREVE) in 100ml ophthalmic solution
Hence, if
100ml = 1.5g
1 ml = y g
We Cross Multiply
100ml × yg = 1 ml × 1.5g
yg = 1 ml × 1.5g/100ml
= 0.015g
Therefore, in 1 ml we have 0.15 g.
Step 2
Since we are asked to express as mg/ml
We convert 0.015g to mg
1 gram = 1000 milligrams
0.015 grams =
Cross Multiply
0.015grams × 1000 milligrams/ 1 gram
= 15 mg
Therefore, the concentration in mg/ml of 15% m/v of Bepotastine besilate (BEPREVE) ophthalmic solution is 15mg/ml
Solve the following proportion for
5/11=y/6
Round your answer to the nearest tenth
Answer:
Step-by-step explanation:
5 y
_ = _
11 6
Cross multiply to get:
11y = 30
y = 2.7272
y = 2.7
What is 2 cents as a fraction
Find the slope of the line containing the pair of points. (5,-7) and (-4,-4)
Answer:
1/-3
Step-by-step explanation:
Problem 1: Solve the systems of equations by the method of your choice.
2x+y=5
x-y=1
Problem 2: The difference of two complementary angles is 30 degrees. Set up a system of linear equations that would find the angles. Do not solve the system.
Problem 3: A cashier has 30 bills, all of which are $10 or $20 bills. The total value of the money is $460. Set up a system of linear equations that would find how many of each type of bills the cashier has. Do not solve the system.
Problem 4: Give an example of a system of linear equations that has no solutions. Explain how can you decide the number of solutions without solving the system.
Answer:
x=2 and y=1
Step-by-step explanation:
2x+y=5
x-y=1
buy adding both equations we get
3x=6
x=2 ( divide 3 on both sides)
put x=2 in any equation
2-y=1
y=2-1
y =1
p2
Problem#2
Let say two complementary angles are A & B
difference of two complementary angles is 30°
=> A - B = 30
Sum of two complementary angles is 90°
=> A + B = 90
Hence A = 60° , B = 30°
Problem#3
Total bill = 30
$ 10 Bills = A
$ 20 Bills = B
10 * A + 20* B = 460
A + B = 30
A = 14 , B = 16
Problem#4
4x+2=y
2y−8x=10
The first step is to simplify the second equation into
y=mx+b form.
2y−8x=10y
y−4x=5
y=4x+5
Now, the two equations are:
y=4x+2
y=4x+5
the sum of m and 188 is 232
write the sentence as an equation
Answer:
m + 188 = 232
Step-by-step explanation:
sum → +
m + 188 = 232
Answer:
m + 188 = 232
Thats is an equation for your problem
NEED HELP ASAP!!! Please explain your answer. Solve 0 = (3x - 4) / 5
Answer:
x= 1.333333333333 or 1 1/3
Step-by-step explanation:
solve for x, 0 times 5= 0 plus 4 is 4 div by 3 is 1 and 1/3
PLEASE HELP ASAP! Far away on the horizon, we saw the tiny figures of a lonely traveler and his mule ______ into the sunset. A. Receed B. Famished
Answer:
Recede
Step-by-step explanation:
Famished means extremely hungry
Recede means go or move back or further away from a previous position
Answer:
Recede
Step-by-step explanation:
So let's look at the meanings of these two words.
Recede: To go or move back backward; become more distant.
Famished: Severely suffering from hunger.
So now you can see that recede is the word that makes more sense in the blank.
Far away on the horizon, we saw the tiny figures of a lonely traveler and his mule Recede into the sunset.
Hope this Helps!
find simple interest on #1200 for 3 years at 4.25% per anum
Answer:
$153.00
Step-by-step explanation:
A = $1,353.00
(I = A - P = $153.00)
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 4.25%/100 = 0.0425 per year.
Solving our equation:
A = 1200(1 + (0.0425 × 3)) = 1353
A = $1,353.00
The total amount accrued, principal plus interest, from simple interest on a principal of $1,200.00 at a rate of 4.25% per year for 3 years is $1,353.00.
Answer:
$153
Step-by-step explanation:
Simple Intrest = P ( money invested ) * R ( percentage ) * T ( year )
I = P * R * T / 100
I = 1200 * 4.25 * 3 = 15300 / 100 = $153
This is the easiest method for me and I hope it helps :)
what are the domain and range of the function f(x)=5x-3+1?
Answer:
Domain : (-∞,∞)
Range : (1 , ∞)
range of 2.45 3.50 2.89 2.99
Answer:
[tex]\huge\boxed{\mathrm{Range = 1.05}}[/tex]
Step-by-step explanation:
Given Data:
2.45 , 3.50 , 2.89 , 2.99
Arrange it in ascending order.
2.45 , 2.89 , 2.99 , 3.50
Range = Highest No - Lowest No.
Range = 3.50 - 2.45
Range = 1.05
Answer:
Range=largest value-smallest value
Range=2.99-2.45
Range=0.54
Step-by-step explanation:
hope it is helpful for you
if it is please follow
You bought a magazine for $2 and three candy bars. You spent a total of $11. How much did each candy bar cost?
Answer:
$3 each
Step-by-step explanation:
Minus the $2 from $11 gives you $9. So $9÷3=$3 per candy bar.
How is mulhplying intergers
Similar to multiplying whole
numbers?
Answer: Multiplying integers is very similar to multiplying whole numbers. A positive number times a negative number equals a negative number. A negative number times a negative number equals a positive number. A negative number times a positive number equals a negative number.
Given f(x) = 52x, evaluate f-1), f(o), and K2).
01/25, 1, 625
Answer:
[tex]f(-1) = \frac{5}{2}[/tex]
[tex]f(0) = 5[/tex]
[tex]f(2) = 20[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 5(2^x)[/tex]
Required
Determine f(-1); f(0) and f(2)
Solving f(-1)
In this case, we simply take x as;
[tex]x = -1[/tex]
Substitute -1 for x in [tex]f(x) = 5(2^x)[/tex]
[tex]f(-1) = 5(2^{-1})[/tex]
Apply law of indices
[tex]f(-1) = 5 * \frac{1}{2}[/tex]
[tex]f(-1) = \frac{5}{2}[/tex]
Solving f(0)
In this case, we simply take x as;
[tex]x = 0[/tex]
Substitute 0 for x in [tex]f(x) = 5(2^x)[/tex]
[tex]f(0) = 5(2^0)[/tex]
[tex]f(0) = 5(1)[/tex]
[tex]f(0) = 5[/tex]
Solving f(2)
In this case, we simply take x as;
[tex]x = 2[/tex]
Substitute 2 for x in [tex]f(x) = 5(2^x)[/tex]
[tex]f(2) = 5(2^2)[/tex]
[tex]f(2) = 5(4)[/tex]
[tex]f(2) = 20[/tex]
What is the domain in interval notation?
Answer:
The answers are all real numbers where x<2 or x>2. We can use a symbol known as the union, ∪,to combine the two sets. In interval notation, we write the solution:(−∞,2)∪(2,∞). In interval form, the domain of f is (−∞,2)∪(2,∞).
Using calculus, it can be shown that if a ball is thrown upward with an initial velocity of 16 ft/s from the top of a building 704 ft high, then its height h above the ground t seconds later will be h = 704 + 16t − 16t2. During what time interval (in seconds) will the ball be at least 32 ft above the ground? (Enter your answer using interval notation.)
Answer:
[0, 7]
Step-by-step explanation:
We want the height to be greater than or equal to 32 ft, so ...
704 +16t -16t^2 ≥ 32
t^2 -t -42 ≤ 0 . . . . . . . . . . . subtract 32, divide by -16
(t -7)(t +6) ≤ 0
This inequality will be true for values of t between -6 and +7. Since we're only concerned with times t ≥ 0, the appropriate solution interval is ...
0 ≤ t ≤ 7 . . . . [0, 7] in interval notation
30 POINTS Type the correct answer in the box. Use numerals instead of words.
Answer:
15 rubber bands per day
Step-by-step explanation:
Use the slider to rotate AABC about point P through different angles of rotation (a). As you move the slider, you'll see the image, AA'B'C'.
move on the screen. At what angles of rotation does AA'B'C' coincide with each of the other triangle images?
Answer:
Step-by-step explanation:
Answer:
The angles of rotation coincide as follows:
DEF is 45°
GHI is 115°
JKL is 210°
Step-by-step explanation: