The ratio of malts to the total ice creams is 3:10 .
Ratio is defined as the fraction which defines the relationship between two quantities .
Ratio is denoted by a:b such that it can also be written as a/b where a and b are co-prime. Ratio can also be denoted as a decimal but mostly it is represented as fraction in its lowest terms
Now the given ice cream shop has 14 shakes that are sold for every 6 malts.
Hence when 14 shakes are sold total number of ice cream sold is
14+6 = 20 .
Now we have to find the ratio of the malts to the total number of ice creams
∴ malts : ice creams = 6 : 20
Reducing to lowest terms we get :
ratio = 3:10
Hence the ratio of malts to total ice cream is 3:10
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HELP ME PLSSSSSS , MY DEADLINE IS NOW PLS HELPPP
Multiple choice :
A) 0
B) 2
C) -1.5
D) 4
E) 0.5
=======================================================
Explanation:
The given equation is in the form of ax^2+bx+c = 0
The coefficients are
a = 2b = kc = -3According to Vieta's formula, we know that the roots of a quadratic multiply to c/a
In this case, the roots multiply to -3/2
Let p and q be the two roots. We're told that -3 is one of the roots, so p = -3. Let's find q.
pq = c/a
-3q = -3/2
q = (-3/2)*(-3/1)
q = 1/2
q = 0.5
The other root is 0.5
The product of the roots is -3*0.5 = -1.5 = -3/2 to confirm the answer.
-------------
The longer way to solve would be to plug x = -3 into the equation and solve for k. You should get k = 5
Once you know the value of k, use the quadratic formula to find the two roots. You should get -3 and 1/2 = 0.5 as the two roots.
dana said that 0.6 divided by 30 = 0.02. is she correct? explain.
Answer:
It can be said that Dana is correct when she says that 0.6 divided by 30 gives 0.02 as a reminder.
Step-by-step explanation:
It is given that we need to rectify whether 0.6 divided by 30 = 0.02 or not.
Firstly, let us understand how does simplification work;
In mathematics, the operation and interpretation of a function to make it simple or easier to grasp is known as simplifying, and the process is known as simplification.
Now, let us understand what exactly is arithmetic;
According to the assertions, it deals with a number of operations in mathematics. Addition, subtraction, multiplication, and division are the four main arithmetic operators.
Now, let us equate the given condition that is;
=> 0.6 can also be expressed as 6/10
Now, let us divide the above numbers with each other as given in the question;
=> (6/10) ÷ 30
=> 6/300
On dividing both the numbers with each other we get;
=> 0.02 which can be expressed as 2/100
Therefore, it can be said that Dana is correct when she says that 0.6 divided by 30 gives 0.02 as a reminder.
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Answer:
Step-by-step explanation:
what is the answer to the problem.
Answer:
0
Step-by-step explanation:
Because there is no question only
P
=
2
L
+
2
W
to find the length of a rectangle when the width is
4 1/2
inches and the perimeter is
29 2/5
inches.
Answer:
10 2/5 inches
Step-by-step explanation:
Since P=2L+2W, we can flip it to find the length. For example, we could minus 2L from both sides to get P-2L=2W.
We already know that W is 4.5, and P is 29.4.
Plugging that in, we get 29.4-2L=9. Again we can flip the perimeter, and -29.4 on both sides. This would make -2L=-20.4.
For our last flip, we divide the -2 from both sides to finally get L=10.2 (or 10 1/5 if you want) inches.
What are the domain and points of discontinuity of the rational function? Are the points of discontinuity removable or non-removable? What are the x - and y -intercepts of the rational function?
c. y=x+1/x²+3 x+2}
The domain of given points are :
IR x ≠ -1 , -2
Points of discontinuity - x = -2 ( non removable / asymptote )
x = -1 ( removable / hole)
x - intercept = -1 , y - intercept = 1/2
What is rational functions ?Any function that can be expressed as a polynomial divided by a polynomial is said to be rational. The domain of a rational function is the set of all numbers except the zeros of the denominator since polynomials are defined everywhere. First example: f(x) = x/ (x - 3).
CALCULATIONy=x+1/x²+3 x+2
= x+1/x²+2x+x+2
= x+1/(x+2)(x+1)
The domain of given points are :
IR x ≠ -1,-2
Points of discontinuity - x = -2 ( non removable / asymptote)
x = -1 ( removable / hole)
x-intercept :
0 = x + 1
x = -1
y - intercept :
0+1 / (0+1)(0+2) = 1/2
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A box of chocolates costs 9.49. Rita bought 4 boxes. How much did she spend?
Answer:
$37.96
Step-by-step explanation:
$9.49 x 4 = $37.96
work out value please
Answer:
270
Step-by-step explanation:
(∛9)³ × (√30)²
9 × 30 = 270
I hope this helps!
Answer:
Answer:
270
Step-by-step explanation:
(∛9)³ × (√30)²
9 × 30 = 270
Step-by-step explanation:
3. Every conditional has two parts. The part following if is the
Ohypothesis
O conclusion
O inverse
O converse
(1 point)
Every conditional has two parts they are hypothesis and conclusion.
What are hypothesis and conclusion ?The hypothesis is the first part of a conditional statement 'if' and conclusion is the last part of a conditional statement 'then'
According to the given statement every conditional has two parts a hypothesis and a conclusion.
Conditional starts with if and ends with then.It is used to express possible situations.
For example-: if the two angles are complementary then their sum is 90°.
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Write each logarithm as the quotient of two common logarithms. Do not simplify the quotient.
log₅140
The value of logarithm as the quotient of two common logarithms is [tex]\frac{Log 140}{Log5}[/tex]. Because [tex]Log_{a}(b)=Log\frac{b}{a}[/tex]
The logarithm is exponentiation's opposite function in mathematics. This means that the exponent to which a fixed number, base b, must be raised in order to produce a given number x, is represented by the logarithm of that number.
Based on the logarithm base, the logarithmic functions are broadly divided into two types. There are common and natural logarithms. Common logarithms are based on the number 10, while natural logarithms are based on the base "e." The power to which a number must be raised in order to obtain another number is known as a logarithm (see Section 3 of this Math Review for more about exponents).
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Moussa has a collection of vintage action figures that is worth $390. If the collection appreciates at a rate of 3% per year, which equation represents the value of the collection after 3 years?
The equation representing the future value of the collection is given by V=390(1.03)³ as the value appreciates by 3%.
When a value appreciates at a certain percentage means the value of the collection increases by that percentage each year.
The equation that represents such an appreciation is in the form of an exponential equation.
The general equation for calculating future value with appreciation is:
[tex]V = P (1 + r)^n[/tex] where
V = Future value
P = Present value
r = appreciation rate
n = number of years
Given P = $390 , r= 3%=0.03 , n = 3
Now we substitute the given values in the equation to get:
V=390(1+0.03)³
or, V= 390(1.03)³
or, V= 426.16 dollars approximately .
Hence the required equation is V= 390(1.03)³ .
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Find all the real square roots of each number. 0.49
The real square root of the number 0.49 is 0.7
0.49 can also be presented as, 49* [tex]10^{-4}[/tex]
The square root of 49* [tex]10^{-2}[/tex]
= [tex]\sqrt{49}[/tex] * [tex]\sqrt{10} ^{-2}[/tex]
= 7 * [tex]10^{-2}[/tex]
=0.7
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What is the final version of this supposed to look like?
The graph of the inequality expressions is added as an attachment
What are inequality expressions?Inequality expressions are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal
How to determine the graph of the inequality expression?The inequality expressions are given as
y ≥ 2
x + y ≤ 4
y ≤ 2x + 2
Next, we interpret each inequality expression
First expression: y ≥ 2
The inequality symbol in the above inequality expression is ≥
This implies that the inequality expression is a greater than or equal to
When an inequality expression has a sign of equal to, then the line of the inequality graph will be a solid line
Also, the inequality symbol implies that the upper part is shaded
Second expression: x + y ≤ 4
The inequality symbol in the above inequality expression is ≤
This implies that the inequality expression is a less than or equal to
When an inequality expression has a sign of equal to, then the line of the inequality graph will be a solid line
Also, the inequality symbol implies that the bottom part is shaded
Third expression: y ≤ 2x + 2
The inequality symbol in the above inequality expression is ≤
This implies that the inequality expression is a less than or equal to and the inequality symbol implies that the bottom part is shaded
See attachment for the graph of the inequality expressions
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Write the equation of a line parallel to the line: y = − x − 1 that goes through the point (-2, -8).
The equation of the required line parallel to the given line is y = -x - 10.
What is slope ?Slope can be defined as the rate of change.
According to the given question we have to write an equation of a line parallel to the line y = - x - 1 that goes through the point (-2,-8).
We know that lines are parallel because of the same slope they have.
So, the required line also have a slope(m) = -1.
∴ The equation of the required line in slope intercept form can be written as y = mx + b.
Putting the value of given points (-2, -8) in (x,y) t evaluate y intercept b.
So, - 8 = (-1)(-2) + b.
- 8 = 2 + b.
b = -10.
∴The equation of the required line in slope intercept form is y = -x -10.
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Giải Phương trình
(x-3)^2+x^4= -y^2+6y-4
Answer:
Solution on screen
Step-by-step explanation:
Don't worry it's okay
An athlete trains for 105 min each day for as many days as possible write an equation that relates the number of days d that the athlete spends training when the athlete trains for 630 min
Juan and Houa are reading the same book. At the beginning of the month, Juan was on page 45 and Houa was on page 9. Juan will read 15 pages per day and Houa will read 18 pages per day. Let J represent the page of the book that Juan is on at the end of t days into the month, and let H represent the page of the book that Houa is on at the end of t days into the month. Write an equation for each situation, in terms of t, and determine what page Juan and Houa will be on on the day they are both on the same page.
The page they will be on is 225.
What page will they be on?The page that both Juan and Houa would be on at the end of the month is a function of the page they are at the beginning of the month and the page they read per day.
Pages they are in t days:
J = 45 + 15t
H = 9 + 18t
When they are on the same page, both equations would be equal
45 + 15t = 9 + 18t
45 - 9 = 18t - 15t
36 = 3t
t = 36 / 3
t = 12
Page they would be in 12 days: 45 + 15(12)
45 + 180 = 225
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A football team has a win to loss of 5:8. What is the ratio of losses to total games played
Given: m<4 + m<7 = 180 degrees
Prove: c || d
1) m∠4 + m∠7 = 180° (given)
2) ∠4 is congruent to ∠6 (vertical angles)
3) m∠4 = m∠6 (definition of congruent angles)
4) m∠6 + m∠7 = 180° (substitution)
5) c is parallel to d (converse of same side interior angles theorem)
the sum of a number and two thirds the number is the same as 4 less than twice the number
12
Step-by-step explanation:
n + (2/3)n = 2n - 4
(5/3)n = 2n - 4
(5/3)n - 2n = -4
(-1/3)n = -4
n = 12
Simplify each expression.
√11(4√11)
The expression given tests on indices. The expression can be written in index form as a^m. Thus, b√a = a^(1/b) From the power rule of indices, a^m x a^n = a^(m+n).
√11(4√11)
11^1/2 ( 11^1/4)
11 ^(1/2+1/4)
11^3/4
4√11^3
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the graphs of y=-4x and y = -4x + 2 are shown. Use the drop down menus to complete the statements The ratios of y/x are the same for the graph of ________ the ratios of y/x are NOT the same for the graph of ______
The ratios of y/x are the same for the graph of y = -4x and y = -4x + 2 because they both represent parallel lines.
What are parallel lines?Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.
The condition for two parallel lines.In Geometry, two (2) lines are considered to be parallel if their slopes are the same (equal) and they've different y-intercepts. This ultimately implies that, two (2) lines are parallel under the following conditions:
m₁ = m₂
Note: m is the slope and it is given by this mathematical expression, slope, m = Δy/Δx.
In this context, we can reasonably infer and logically deduce that the ratios of y/x are the same for the graph of y = -4x and y = -4x + 2 because they both represent parallel lines.
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solve the equation -27=3/4w
Answer: w = -32
Step-by-step explanation:
Start isolating the variable by getting rid of 3/4. You can do this by multiplying by its reciprocal.
That leaves us with 3/4 times -27
The product is -32.
Hope this helps!
can someone help me really quick
Answer:
2 2/4 because i just know the answer
The graph of y = f(X) is shown.
b) Find the roots of f(X) = 0
c) Find f(0)
A) The roots of the graph f(x) are; x = -2 and x = -1
B) The value of the function at f(0) is; 2
How to find the roots of a quadratic graph?
a) We want to find f(0) of the graph.
Now, f(0) simply refers to the y-values when x = 0.
This is the point at which the graph crosses the y-axis
From the graph we can see that the value here is 2. Thus;
f(0) = 2
b) To find the roots of f(x) , we simply find the points at which the plot crosses the x-axis.
From the graph, the roots are at x = -2 and x = -1
Thus, the roots of the equation are x = -2 and x = -1
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The local gym holds two 45-minute workout sessions and four 30-minute sessions each week. Judy attended all of the sessions this week but left 5 minutes early during the 30-minute sessions and 10 minutes early during the 45-minute sessions. How many total minutes did Judy work out for the week?
Answer:
170 minutes
Step-by-step explanation:
So if there was two 45 min work outs in a week and she left those 10 mins early that was two 35 min work outs and then there was 4, 30min work outs and she left those 5 mins early so 4, 25min workouts so its 35+35+25+25+25+25.
The product of any integer and –1 is always
x+2−0.5x=1+.0.5x+1 solve for x
Answer:
x = 0
Step-by-step explanation:
x + 2 - 0.5x = 1 + 0.5x +1
2 - 0.5x = 2 + 0.5x
-0.5 - 0.5x = 2 - 2
-1x = 0
-1x/-1 = 0/-1
x = 0
Answer:
Step-by-step explanation:
Solve X + 2 - 0.5 x = 1 + 0.5 x + 1 : The answer is: X = 2X
The product of 3 and a number x is 23.
What is the value of x?
x=7/3
x=2/9
x=2
x=2 1/3
Answer:
D.
Step-by-step explanation:
x=2 1/3
That is the answer
rearrange x=3g+2 make g the subject
Answer:
3g=x-2
Step-by-step explanation:
3g+2=x then, move 2 to the other side(nb*change to negative) then it will be 3g=x-2 finally divide both sides by 3 then it will be g=x-2
3
Jerica sells used motorcycles. she makes $300 per week plus $75 for each bicycle sold. she wants to earn $1059?per week. write an equation to find out how many motorcycles she must sell each week to accomplish this.
Answer: $684
Step-by-step explanation: Add 300 to 75 and you have 375, next subtract the total payment she wants to have per week (which is 1059) so, subtract 1059 to 375 then you have $684. To check your answer, add 684 to 375 and you come up with 1059.