X=k/y
X=2, y=48
2=k/48
K=2*48 = 96
X= 96/24
X=4
Suppose you are making yourself a sandwich. how many different sandwiches can you make if you have 4 choices in bread, 2 choices in meat, and 5 choices in cheese?
What is the answer to this?
What is the slope and the y intercept of the line y=6x-9?
Hello there! :)
This equation is written in slope-intercept form. which means we can easily idenify the slope and the y-intercept.
First of all, slope-intercept form looks like this:
y=mx+b
The letter m represents the slope, while the letter b represents the y-intercept.
Now, let's look at the values that we have.
We are given the equation of the line:
y=6x-9
We know that m is the slope; therefore, in this equation, 6 is the slope.
-9 is the y-intercept (the letter b)
Therefore, 6 is the slope and b is the y-intercept.
I hope it helps you. Let me know if you have any queries.
~A smiley teen
[tex]MagicalNature[/tex] here to help
What is the sum of 12 and the quantity 8 times a number k is equal to 48? It was on my math homework, it hardly makes any sence to me, please help me, whats the answer?
The question is asking for the solution to the algebraic problem 12 + 8k = 48. By isolating 'k', it is found that the value of 'k' is 4.5.
Explanation:The problem presented here belongs to the branch of algebra. It is showing a relationship between the sum, multiplication, and is presented in a typical algebraic equation format. Let's break it down:
The sum of 12 and a number (which is 8 times k) is equal to 48. This can be written in equation form as:
12 + 8k = 48
To find the value of k, we need to isolate 'k' in the equation. First, subtract 12 from both sides of the equation:
8k = 48 - 12
Then, simplify the right side:
8k = 36
Finally, divide both sides by 8 to solve for k:
k = 36 / 8
So, k = 4.5.
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Chris bought clothes for school. She bought 3 shirts for $12 each and a skirt for $15.
How much did she spend on the shirts?
Question 1 options:
Which of the following equations has the solution x = all real numbers? Select one: a. 4(3 - x) + 6x = 3x + 12 - x b. 4(3 - x) + 6x = 3x + 10 - x c. 4(3 - x) + 6x = 3x + 12 + 2x d. 4(3 - x) + 6x = x + 12 - 3x
The equation that has the solution x = all real numbers is given by option a) (4(3 - x) + 6x = 3x + 12 - x) and this can be determined by using the arithmetic operations.
Check all the options in order to determine which of the following equations has the solution x = all real numbers.
A) 4(3 - x) + 6x = 3x + 12 - x
Simplify the above equation separately that is:
LHS = 12 - 4x + 6x
= 12 + 2x
RHS = 3x + 12 - x
= 2x + 12
LHS = RHS means there is an infinite number of solutions.
B) 4(3 - x) + 6x = 3x + 10 - x
Simplify the above equation separately that is:
LHS = 12 - 4x + 6x
= 12 + 2x
RHS = 2x + 10
LHS [tex]\neq[/tex] RHS means that there are no solutions.
C) 4(3 - x) + 6x = 3x + 12 + 2x
Simplify the above equation separately that is:
LHS = 12 - 4x + 6x
= 12 + 2x
RHS = 5x + 12
LHS [tex]\neq[/tex] RHS means that there are no solutions.
D) 4(3 - x) + 6x = x + 12 - 3x
Simplify the above equation separately that is:
LHS = 12 + 2x
RHS = 12 - 2x
LHS [tex]\neq[/tex] RHS means that there are no solutions.
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Evaluate 5a^2 + 2b^3 when a=4 and b =-4
Write 14/42 in simplest form
From January through October, ACE Autos sold 150 cars. The number of cars sold in November and the number of cars sold in December were in the ratio of 3:5. If the total number of cars sold in the year was 390, find the number of cars sold in December. Solve algebraically.
390-150 = 240 cars were sold in November & December
ratio is 3:5
240/8 = 30
30*3 = 90
3*5 = 150
90 cars sold in November
150 cars sold in December
Which of the following inequalities matches the graph?
graph of an inequality with a solid vertical line through the point negative 7, 0 and shading to the left of the line
Use the distributive property to remove the parentheses.
-5(5v-4x-1)
The foodservice department has been asked to prepare a special luncheon for the grandway hospital board of directors on tuesday. there will be 25 board members at the luncheon. there are 125 portions of vegetable lasagna needed for the hospital's lunch service that day. the standardized vegetable lasagna recipe yields 125 portions and requires 21 lb of ricotta cheese. how much ricotta cheese must chef carl order to meet production needs?
The population of a town is 500,000 in 1990. The population increases at a rate of 5% every five years. What will be the approximate population of the town in 2005?
A. 578,813
B. 587,712
C. 499,354
D. 512,945
Evaluate 5x + (-2x 2) for x = 3.
For a fixed amount of gas at a constant temperature, the volume of the gas is inversely proportional to its pressure. The function v=18000/p relates the volume in cubic inches and pressure in pounds per square inch of a gas. What is the volume when the pressure is 900 pounds per square inch?
Answer:
Volume of the gas is 20 cubic inches.
Step-by-step explanation:
Inverse proportion: Let x and y be two quantities are said to be inverse proportion or inversely proportional if one quantity increases at the same rate the other decreases.
[tex]x \propto \frac{1}{y}[/tex] or
[tex]x = \frac{k}{y}[/tex] ⇒[tex]k =xy[/tex] where k is constant.
Since, it is given that the volume of gas is inversely propotional to its pressure.
Given the function:
[tex]v = \frac{18000}{p}[/tex] ......[1] ; where volume in cubic inches and pressure in pounds per square.
To find the volume in cubic inches.
The pressure (p) = 900 pounds per square inch.
Substitute the value of p in [1];
[tex]v = \frac{18000}{900}= 20 in^3[/tex]
Therefore, the volume(v) = 20 cubic inches when the pressure is 900 pounds per square inch.
The volume when the pressure is 900 pounds per square inch is [tex]20 in^3.[/tex]
What is proportionality?proportionality can be explained as equality between two ratios, it gives relationship that is always in the same ratio.
We were given the function as[tex]v= \frac{18000}{p}[/tex]
But the pressure is given as pressure (p) = 900 pounds per square inch.
We can get volume, if we substitute "p" as;
[tex]v=\frac{18000}{p}[/tex]
[tex]V= \frac{18000}{900} =20 in^3.[/tex]
Hence, the volume when the pressure is 900 pounds per square inch is [tex]20 in^3.[/tex]
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Identify the property used in the first 5 steps to solve the equation 2(x-5)-6x=-22
Answer choices:
Step 1: Associative, Commutative or Distributive Property
Step 2: Associative, Commutative or Distributive Property
Step 3: Addition or Multiplication Property of Equality
Step 4: Addition Property or Combine Like Terms
Step 5: Addition or Multiplication Property of Equality
Answer:
Distributive property
Step-by-step explanation:
Joan likes to watch the birds in her yard.one morning,she notices that there are twice as many robins as blue jays.if she counted 21 blue jays and robins in all, how many blue jays did she count. Need help badly
A drawing shows 4 apples and 6 bananas. Which is the ratio of bananas to apples? 6:4 3:2 6 4 all of the above
Both windows are congruent. What is the combined area of the two windows?
How to solve (8.76 x 109)(6.52 x 10-3)/13.27 x 105?
Which function represents g(x), a reflection of f(x) =2/5 (10)x across the x-axis? g(x) =-2/5 (10)x g(x) =-2/5(1/10)^x g(x) =2/5(1/10)^-x g(x) =2/5 (10)-x
Answer:
A. [tex]g(x)=-\frac{2}{5}(10)^x[/tex].
Step-by-step explanation:
We are given the function [tex]f(x)=\frac{2}{5}(10)^x[/tex].
Now, g(x) is obtained by reflecting the function f(x) over x-axis.
Reflection of f(x) over x-axis changes f(x) to -f(x).
So, we get,
[tex]g(x)=-f(x)[/tex]
i.e. [tex]g(x)=-\frac{2}{5}(10)^x[/tex]
Thus, the reflected function is [tex]g(x)=-\frac{2}{5}(10)^x[/tex].
So, option A is correct.
My past due bill is $585.00, and I just made payment arrangements for the next 3 months to keep my account from being suspended. My normal monthly bill is $50.00 per month. How much will I need to pay each month?"
Answer:
$245
Step-by-step explanation:
Given : My past due bill is $585.00, and I just made payment arrangements for the next 3 months to keep my account from being suspended. My normal monthly bill is $50.00 per month.
To Find: How much will I need to pay each month?"
Solution:
Past due bill = $585
Now just made payment arrangements for the next 3 months to keep my account from being suspended
So, Payment each month of past bill = [tex]\frac{585}{3}=195[/tex]
My normal monthly bill is $50.00 per month.
So, I need to pay per month = $50+$195= $245
Thus ,I need to pay $245 per month .
(Solve for v) 2v − 6 = 4
What is the square root of 26 in simplest radical form?
Final answer:
The square root of 26 in simplest radical form is just √26, as 26 has no perfect square factor. It can also be expressed as 26 raised to the power of 0.5 based on the concept of fractional powers corresponding to roots.
Explanation:
The square root of 26 in its simplest radical form cannot be simplified further as a perfect square factor because 26 is not a perfect square. However, if we apply the concept of expressing numbers as fractional powers, we can say that any number 'x' squared, written as x², is equivalent to the square root of 'x'. Thus, the square root of 26 can also be written as 26 to the power of 0.5 or 26⁰.⁵.
Expressing the concept mathematically, we can write the square root of any number 'x' as x to the power of 0.5, which is a helpful way to solve for unknown values in various equations. This idea is useful in scenarios where different roots of a number or expressions involving fractional exponents are to be calculated, and it is essential to remember that the square root is just another form of an exponent.
Read the following statement: All prime numbers are odd. Which of the following choices is a counterexample to the statement?
1
17
2
7
The choice which is a counterexample to the statement is 2.
What are prime numbers?"It is a number that is divisible only by itself and 1 "
For given question,
We have been given a statement 'All prime numbers are odd. '
We need to select a counterexample to given statement.
Consider a number 2.
2 is divisible only by itself and 1
This means, 2 is a prime number.
We know that 2 is an even number.
Therefore, the choice which is a counterexample to the statement is 2.
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HELP! 5/x+3 - 3/x-2 = 5/3x+6 please show your work. :)
The longest side of an acute isosceles triangle is 8 centimeters. Rounded to the nearest tenth, what is the smallest possible length of one of the two congruent sides?
To comply with the triangle inequality theorem, the smallest possible length of the congruent sides in an acute isosceles triangle with the longest side being 8 centimeters, would be slightly greater than 4 centimeters, rounded to the nearest tenth (4.1 centimeters).
Explanation:In the context of an acute isosceles triangle, the longest side is the base and the other two sides are congruent or have equal length. The smallest possible length of the congruent sides comes into play in respect of the triangle inequality theorem, stating that the sum of the lengths of any two sides must be greater than the length of the third side. Thus, for the smallest possible length, each of the congruent sides must hence be just slightly larger than half the length of the longest side. So for an 8 centimeter base, the smallest length for the congruent sides should be slightly more than 4 centimeters, let's call it 4.1 centimeters, when rounded to the nearest tenth.
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What is the value of x 20 35 60 70
Answer:
Value of x is:
20
Step-by-step explanation:
Clearly, the two angles are vertically opposite
and vertically opposite angles are always equal
So, x+40=3x
Subtracting both sides by x, we get
x+40-x=3x-x
i.e. 40= 2x
Dividing both sides by 2, we get
x = 20
Hence, Value of x is:
20
Are the following figures similar?
Please help me explain your answer
convert 2 2/5 into a fraction
2 2/5 = 12/5
12/5 * 1/9 =12/45 reduces to 4/15