Answer:
12 U.S teaspoons are in 1/4 cups.
The Formula is to multiply the volume value by 48.
So Since a 1/4 us cup=0.25 we can multiply this by 48.
0.25*48=12
So our awnser is 12 teaspoons
There are 12 teaspoons in 1/4 cups.
To understand this conversion, we need to know the standard conversion factors for cups and teaspoons. There are 16 teaspoons in 1 cup. Therefore, to find out how many teaspoons are in 1/4 cup, we divide the number of teaspoons in a full cup by 4.
Here is the calculation:
1 cup = 48 teaspoons
[tex]\( \frac{1}{4} \times 48 \)[/tex] teaspoons
[tex]\( = \frac{1}{4} \times \frac{48}{1} \)[/tex]
[tex]\( = \frac{48}{4} \)[/tex]
[tex]\( = 12 \)[/tex]
Therefore, there are 12 teaspoons in 1/4 cups.
1. Annual sales for a fast food restaurant are $650.000 and are increasing at a rate of 4% per year.
Use an exponential function to find the annual sales after 7 years.
Help pls
The annual sales after 7 years is $ 855.3556
Solution:
The growth function is given as:
[tex]y = a(1+r)^t[/tex]
Where,
y is the future value
a is the initial value
r is the growth rate
t is the number of years
From given,
a = 650
t = 7
[tex]r = 4 \% = \frac{4}{100} = 0.04[/tex]
Therefore,
[tex]y = 650(1 + 0.04)^7\\\\y = 650(1.04)^7\\\\y = 650 \times 1.315931\\\\y = 855.3556[/tex]
Thus the annual sales after 7 years is $ 855.3556
the cost of producing x laser printers is given by C(x)=325x + 2,300,000. Each printer can be sold for $450
Answer:
C(450)=2,446,250
Step-by-step explanation:
C(450)=325(450)+ 2,300,000
C(450)=146,250+2,300,000
C(450)=2,446,250
The profit from producing and selling x laser printers is given by the equation P(x) = 125x - 2300000.
Explanation:The question is about the calculation of profit in a business scenario. The calculation of profit involves finding the difference between the cost of production and the revenue obtained from selling the products. In this case, the cost function C(x) = 325x + 2300000 defines the cost of producing x laser printers. Each printer is sold for $450, which means the revenue function R(x) can be represented as R(x) = 450x.
To find the profit, we subtract the cost from the revenue. This gives us the profit function P(x) = R(x) - C(x) = 450x - (325x + 2300000). Simplifying this, we get P(x) = 125x - 2300000. This equation tells us the profit made from producing and selling x laser printers.
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the basketball team scored 24 points. Uriah scored 7 of those points. About what percent of the points did he score?
PLEASE HELP ! Trying to make honor roll !
Which point represents the solution to the system of equations below ?
Answer:
Point C
Step-by-step explanation:
When you graph the two equations, they meet at point c, which is the solution
Answer:
Point C
Step-by-step explanation:
You know the x so you can substitute that into the point:
(4, y)
You don't know y but you can substitute in the x and solve the equation. You would get -3. So the point would be:
(4, -3)
Find that point on the graph and it's Point C.
the store offers a 20% discount. the discount price of a hat is 18$. what is the regular price?
The discount price for t-shirt is 16.40
The discount price in dollars is 3.28
The regular price of the hat is $22.5
Explanation:
We know that the discount price of a hat is $18, so we need to find the regular price of the hat.
Let:
x: Regular price
So:
[tex]\\ \\ Regular \ price \ - \ percentage \ discount \times Regular \ price =discount \ price \\ \\ x-20\%(x)=18 \\ \\ x-0.20x=18 \\ \\ 0.8x=18 \\ \\ x=\frac{18}{0.8} \\ \\ x=22.5[/tex]
Finally, the regular price of the hat is $22.5
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a 9-kilogram bag of sugar cost $27.54. what is the unit price ?
Answer:
The answer is 3.06
Step-by-step explanation:
In order to find unit price. You divide the cost per how many units you have.
In this case, you divide 27.54 to 9.
This gives you the answer (3.06)
What is the unit price ?
$27.54 : 9 = $3.06
Given the graph of the function F(x) below, what happens to F(x) when x is a negative number with a large absolute value?
Answer:F(x) is a negative number with a small absolute value
Step-by-step explanation:
The true statement about the graph of f(x) is (a) f(x) is a negative number with a small absolute value
How to interpret the function?From the given graph, we have the following highlights:
As the absolute value of x increases in the positive axis, the value of f(x) decreasesAs the absolute value of x decreases in the negative axis, the value of f(x) decreasesThe above means that, when x is a negative number with a large absolute value, then the absolute value of x is a very large positive number.
And so the value of f(x) would be a small absolute value negative number
Hence, the correct option is (a) f(x) is a negative number with a small absolute value
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$8000 principal earning 5% compounded annually, after 6 years
Answer:
The final balance is $10,792.14.
The total compound interest is $2,792.14.
Step-by-step explanation:
Final answer:
Explanation on calculating the amount of $8000 principal at 5% compounded annually after 6 years using compound interest formula.
Explanation:
The question: $8000 principal earning 5% compounded annually after 6 years.
Step-by-step explanation:
Use the compound interest formula: A = P(1 + r/n)^(nt) where A is the amount, P is the principal, r is the rate, n is the number of times interest is compounded per year, and t is the time in years.
Plug in the values: P = $8000, r = 0.05, n = 1 (compounded annually), t = 6.
Calculate: A = $8000(1 + 0.05/1)^(1*6)
A = $10,720.77.
Which sum will be neither positive nor negative. a. 3+2 b. -4+(-4) c. -6+6 d. 7+(-6)
Answer:
c
Step-by-step explanation:
solve each inequality, graph the solution, and write the solution in interval notation
5 ≤ 4x− 1 < 7
The compound inequality 5 \u2264 4x - 1 < 7 results in the solution set [1.5, 2) when solved and graphed. In interval notation, it is expressed as [1.5, 2).
Explanation:To solve the compound inequality 5 \<= 4x - 1 < 7, we split it into two separate inequalities and solve them individually:
Add 1 to all parts of the inequality: 6 \<= 4x < 8.Divide all parts by 4:\(\frac{6}{4} \<= x < \frac{8}{4}\).Simplify the fractions:1.5 \<= x < 2.The solution set is the interval [1.5, 2). To graph this solution, plot a closed circle at 1.5 and an open circle at 2, and shade the region in between. In interval notation, the solution set is represented as [1.5, 2).
suppose you flip a coin twice. what is the probability that you get tails on the first flip and tail on the second flip?
Probability of getting tails on the first flip: 1/2 (because it's one of two possible outcomes).
Probability of getting tails on two consecutive flips: 1/4 (because it's one out of four possible outcomes- tails tails, tails heads, heads tails, heads heads)
A simpler way of thinking about it is 1/2*1/2, because you already have 1/2 for getting tails the first time, and if getting tails the second time were an independent event then the probability would be 1/3, but since it's getting tails twice you multiply the probabilities.
Either way, the answer is 1/4 (or 25%)
If you flip a coin twice the probability that you get tails on the first flip and tails on the second flip is 1/4.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
It is given that you flip a coin twice, the probability getting tails on the first flip we have to find the probability that you get tails on the first flip and tails on the second flip.
The probability of getting tails on the first flip is
P(T) = 1/2
When two coins get flipped the total possible outcomes are,
(T, H)(T,T)(H,H)(H,T)
Probability of getting tails on two consecutive flips,
P(T) =1/4
The probability that you get tails on the first flip and tails on the second flip
Thus, if you flip a coin twice the probability that you get tails on the first flip and tails on the second flip is 1/4.
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-1/3 +5e =3/7
find e
Answer:
0.1523
Step-by-step explanation:
-1/3 + 5e = 3/7
5e = 3/7 + 1/3
By Elysium
5e = (9 + 7)/21
5e = 16/21
5e = 0.7619
e = 0.7619/5
0.1523
Joanne and Betty have a combined age of 60 years. If Joanne is 18 years old,
how old is Betty?
Answer:
42
Step-by-step explanation:
Answer:
42
Step-by-step explanation:
Let Joanne age be x
let betty age by y
. ° . x + y = 60
if joanne is 18
y = 18
x + 18 = 60
x = 60 - 18
x = 42
. ° . betty = 42
I need help finding the values of x and z
Answer:
z = 73
x = 15
Step-by-step explanation:
Since z and (5x +32) share a straight line, adding them would equal 180.
(5x+32) + z = 180
Since z is 73, we can replace z
(5x + 32) + 73 = 180
(5x + 32) = 107
(5x) = 75
x = 15
First: State the degree and tell which monomial (term) you determined to be the one as the greatest degree. Second: Classify each of the 2 polynomials. If it is NOT a polynomial, explain why you think it is not a polynomial. For example you may say: Polynomial # 4. has degree of 5 and is classified as a quintic polynomial of 4 terms. We covered this in class (see below). Explain in sentences how you determined degree and "name" or why it is NOT a polynomial: 1. 7x4 + 5x2 + x − 92. 7x6 − 4x3 + 1x
Step-by-step explanation:
The relationship between monomial, degree and polynomial
A monomial is basically an individual term. A polynomial is the sum of monomials. Any monomial (term) which contains the highest power of the variable would be considered as the degree of a polynomial. For example, [tex]2x^{2} + 3x + 1[/tex] is a polynomial of degree 3, as the first monomial (term) has the highest power (degree) of the variable x.Now, lets analyze the given algebraic expressions
Examining the first polynomial
Considering the first polynomial
[tex]7x^4\:+\:5x^2\:+\:x\:-\:9[/tex]
Carefully notice that the first term [tex]7x^{4}[/tex] which is also called a monomial does have the highest exponent or power of a variable x, which is 4. Thus, it can be determined that the degree of [tex]7x^4\:+\:5x^2\:+\:x\:-\:9[/tex] will be 4.Here is the summary of the classification of the first polynomial [tex]7x^4\:+\:5x^2\:+\:x\:-\:9[/tex].
[tex]7x^4\:+\:5x^2\:+\:x\:-\:9[/tex] is a polynomial of 4 terms.Its degree is 4.It can also be named as 'quintic' because its degree is 4Examining the second polynomial
Considering the expression
[tex]7x^6\:-\:4x^3\:+\:1/x[/tex]
It is easy to figure out that [tex]7x^6\:-\:4x^3\:+\:1/x[/tex] is not a polynomial as it does not fulfill the criteria to be a polynomial as its last term is [tex]\frac{1}{x}[/tex] has the variable x in the denominator.
Here are some important things that need to be fulfilled for any expression to be a polynomial.
The polynomial can not contain any variable having fractional or negative powers. For example, any expression containing [tex]2v^{-5}[/tex] in any of its terms can not be a polynomial as the variable v has a negative power of exponent. Similarly, the polynomial can not contain any square root of variables. For example, any algebraic expression with the term [tex]2\sqrt{v}[/tex] can not be a polynomial as the variable v is right inside the radical symbol.The polynomial can not have any variable in the denominator. For example, any expression that contains the term [tex]\frac{7}{v}[/tex] would not be treated as the polynomial as the variable v is in the denominator.Therefore, from the above discussion we can safely say that the expression [tex]7x^6\:-\:4x^3\:+\:1/x[/tex] can not be treated as as a Polynomial as its last term [tex]\frac{1}{x}[/tex] contains the variable x which is in the denominator.
Keywords: matrimonial, polynomial, exponent, degree
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50× 3/8 how to reduce answer to lowest te
The lowest term is [tex]\frac{75}{4}[/tex].
Solution:
Given expression is [tex]50\times\frac{3}{8}[/tex]
To reduce this term to the lowest term:
[tex]$50\times\frac{3}{8}=\frac{50}{1}\times\frac{3}{8}[/tex]
Multiply the numerator and denominator.
[tex]$50\times\frac{3}{8}=\frac{150}{8}[/tex]
Now, divide the numerator and denominator by the greatest common factor.
Here 150 and 8 both have common factor 2.
So, divide numerator and denominator by 2.
[tex]$=\frac{150\div2}{8\div2}[/tex]
[tex]$=\frac{75}{4}[/tex]
[tex]$50\times\frac{3}{8}=\frac{75}{4}[/tex]
Hence the lowest term is [tex]\frac{75}{4}[/tex].
Determine which line the point (2, -1) lies on. y = 2x + 1 y = x + 5 y = 2x - 5 y = x - 2
To determine which line the point lies on, you can just plug in one of the numbers into the equations to see if it equals out.
(2, -1) I will use the 2 and plug it in for x in the equation.
y = 2x + 1
y = 2(2) + 1
y = 5 The point does not lie on this line because when x = 2, y = 5 (2, 5)
y = x + 5
y = 2 + 5
y = 7 The point does not lie on this line because when x = 2, y = 7 (2, 7)
y = 2x - 5
y = 2(2) - 5
y = 4 - 5
y = -1 The point does lie on this line because when x = 2, y = -1 (2, -1)
y = x - 2
y = 2 - 2
y = 0 The point does not lie on this line because when x = 2, y = 0 (2, 0)
Express 2.41 x 10/4 in a standard form.
The number written in standard form is 24100
Step-by-step explanation:
An object is said to be written in scientific notation when it is written in the following form:
[tex]m\cdot 10^n[/tex]
where
m is the coefficient
n is the exponent of the power of ten
The number can be rewritten in standard form by writing the coefficient and then moving to the right (or to the left) the decimal point by n positions if n is positive (or negative).
In this problem, the number is
[tex]2.41\cdot 10^4[/tex]
So we have
m = 2.41
n = 4
Therefore, we have to write 2.41 and then move the decimal point 4 positions to the right: so we get
[tex]2.41\cdot 10^4 = 24100[/tex]
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A ruler is 12 inches long. What is the of this ruler
Can you please clarify what you want to ask? Thanks!
If x = 4 units, y = 5 units, and h = 7 units, find the area of the trapezoid shown above using decomposition.
Final answer:
The area of the trapezoid can be found by decomposing it into a rectangle and two triangles. Using the given dimensions, x = 4 units, y = 5 units, and h = 7 units, the calculated area of the trapezoid is 35 square units.
Explanation:
To find the area of the trapezoid using decomposition, we can break it down into simpler shapes whose area we can calculate more easily. Here, we will break the trapezoid into a rectangle and two triangles.
Let's identify the dimensions of the trapezoid: the top base (x), the bottom base (y), and the height (h). The student has provided that x = 4 units, y = 5 units, and h = 7 units.
The area of the rectangle that forms part of the trapezoid is the product of its base (x) and height (h):
Area of Rectangle = x * h = 4 units * 7 units = 28 square units
Next, we have two right triangles with one of the legs being the difference in the length of the bases (y - x) and the other leg equal to the height (h). The area of one triangle will be:
Area of Triangle = 0.5 * (y - x) * h = 0.5 * (5 units - 4 units) * 7 units = 3.5 square units
Since there are two identical triangles, we double this value:
Total Area of Triangles = 2 * 3.5 square units = 7 square units
Now we can sum the area of the rectangle and the total area of the triangles:
Total Area of Trapezoid = Area of Rectangle + Total Area of Triangles = 28 square units + 7 square units = 35 square units
Therefore, the area of the trapezoid is 35 square units.
Final answer:
The area of the trapezoid can be calculated by decomposing it into simpler shapes and using the formula A = ½(h)(b1 + b2), resulting in 31.5 units² for the given measurements.
Explanation:
To find the area of the trapezoid using decomposition, given that x = 4 units, y = 5 units, and h = 7 units, we need to decompose the trapezoid into simpler shapes like rectangles and triangles.
The area of a trapezoid can be found using the formula A = ½(h)(b1 + b2), where h is the height and b1 and b2 are the lengths of the two parallel bases. As there is no visual provided, and we are given three measurements, we must assume these represent the height and the bases of the trapezoid. The area is then calculated as follows:
Area of Trapezoid = ½(7)(4 + 5) = ½(7)(9) = ½(63) = 31.5 units².
if x equals 10 what 5x-10
Answer:
40
Step-by-step explanation:
x = 10
Substitute 10 for x
5 (10) -10
Multiply 5 by 10
50 - 10
= 40
Mark Brainliest
Answer:40
Step-by-step explanation:
Juan paid 59.99 tor a jacket that originially sold for 85.50. about what percent of the originial price did he pay for the jacket?
Juan paid 70.16 % of the original price of the jacket.
Step-by-step explanation:
Step 1:
Given details, Original Selling Price of the jacket = 85.50
New Selling Price of the jacket = 59.99
Step 2:
To determine what percentage of the old price is the new price, we have to use percentage calculation.
[tex]x/100\times 85.50 = 59.99[/tex]
Step 3:
Substitute in the formula, the given values
x = [tex](59.99/85.50) \times 100[/tex]
= [tex](0.7016) \times 100[/tex]
= [tex]70.16[/tex]
Therefore, percentage paid is 70.16%
what is 7/10+1/4 in simplest form
Answer: 19/20
Step-by-step explanation:
7/10 turns into 14/20
1/4 turns into 5/20
14/20 + 5/20
14 + 5 over 20
= 19/20
19/20 is in simplest form.
[tex]\text{Hey there!}[/tex]
[tex]\mathsf{What\ is\ \dfrac{7}{10}+\dfrac{1}{4}\ in\ simplest\ form?}[/tex]
[tex]\text{First, look for the lowest common denominator (LCD) of the fractions.}\\\text{If you did the calculations correctly, you should've came up with 20 as}\\\text{your LCD}[/tex]
[tex]\mathsf{Here\ is\ how so: \dfrac{7\times2}{10\times2}+\dfrac{1\times5}{4\times5} = \ ?}[/tex]
[tex]\mathsf{7\times2=14\leftarrow first\ numerator}\\\mathsf{10\times2=20\leftarrow first\ denominator}[/tex]
[tex]\mathsf{1\times5=5\leftarrow second\ numerator}\\\mathsf{4\times5=20\leftarrow second\ denominator}[/tex]
[tex]\mathsf{Your\ new\ equation\ SHOULD\ look\ like\ this: \dfrac{14}{20}+\dfrac{5}{20}}[/tex]
[tex]\text{Since, your DENOMINATORS are ALIKE we can KEEP IT}[/tex]
[tex]\mathsf{Which\ leaves\ us\ with\ the\ last\ step\ of\ the\ problem}[/tex]
[tex]\mathsf{ \dfrac{14+5}{20}}}[/tex]
[tex]\mathsf{14+5=19\leftarrow your\ new\ numerator}\\\\\mathsf{20 = 20\leftarrow your\ new\ denominator}[/tex]
[tex]\boxed{\boxed{\bf{Answer: \mathsf{\dfrac{19}{20}}}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
Annie got 7 flowers and gave 2 to Karen how many does she have left
Answer:
5 flowers
Step-by-step explanation:
To get the answer you do 7-2
so she has 5 flowers left.
7-2=5
What is the solution to the equation x−23=−13 ? Enter your answer in the box.
Answer:
Step-by-step explanation: so u are going to put it like this x- -6 =5
Next u subtract -6 from both sides
x=11
Answer:
x=10
Step-by-step explanation:
Find the measure of angle 5. Will someone please help me. I have to answer this one question before I can move on to another one. Please help
The measure of angle 5 is 75°.
Step-by-step explanation:
Properties of intersecting lines :
The angles formed opposite to each other at the point of intersection are called vertically opposite angles. These vertically opposite angles are congruent (same).step 1 :
From the figure, the angle (-9x-12) and angle (6x+183) are vertically opposite and are equal.
-9x-12 = 6x+183
⇒ -9x-6x = 183+12
⇒ -15x = 195
⇒ x = -(195/15) = -13
step 2 :
Substitute x= -13 in the angle (-9x-12)
⇒ (-9x-12) = -9(-13)-12
⇒ 117 - 12 = 105°
step 3 :
The measure of angle in a line is supplementary (180°).
Let angle 5 be unknown value "a".
Then, angle (-9x-12) + angle a = 180°
⇒ 105° + a = 180°
⇒ a = 180 - 105
⇒ a = 75°
∴ The measure of angle 5 is 75°
Jeff bought a bottle of water for $2. He also
bought some hot dogs for $3 each. Jeff did
not spend more than $14 on the hot dogs
and the bottle of water. Write an inequality
statement that can be used to find h, the
number of hot dogs that Jeff could have
bought.
Final answer:
The inequality to determine the number of hot dogs Jeff could have bought is 3h + 2 ≤ 14, representing the cost of hot dogs and the bottle of water not exceeding the total amount of $14.
Explanation:
To find h, the number of hot dogs that Jeff could have bought, we can write an inequality statement based on the maximum amount Jeff can spend and the cost of the hot dogs and water. Jeff bought one bottle of water for $2 and some hot dogs for $3 each. Given that he did not spend more than $14 on everything, the inequality to represent this scenario can be written as:
Cost of water + Cost of hot dogs ≤ Total amount Jeff can spend
2 + 3h ≤ 14
This inequality suggests that when we multiply the number of hot dogs Jeff bought (h) by $3 and add the cost of the water ($2), it should not exceed $14. So the inequality demonstrating the number of hot dogs Jeff could have bought without spending more than $14, including the water, is 3h + 2 ≤ 14.
(PLEASE HELP WILL GIVE BRAINLIEST)
What is the equation of this trend line?
Enter your answers by filling in the boxes.
K = _ J + _
Answer:
K=2J+28
Step-by-step explanation:
Y intercept is 28
Slope is 2
Need some help with the answer to the question
Answer:
(- 4, 27 )
Step-by-step explanation:
Equate the right sides of both equations, that is
x² - 2x + 3 = - 2x + 19 ← subtract - 2x + 19 from both sides
x² - 16 = 0 ← in standard form
(x - 4)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 4 = 0 ⇒ x = - 4
Substitute these values into f(x) = - 2x + 19
f(4) = - 2(4) + 19 = - 8 + 19 = 11 ⇒ (4, 11 )
f(- 4) = - 2(- 4) + 19 = 8 + 19 = 27 ⇒ (- 4, 27 )
pls help thx
A bag contains 1 red, 2 blue, and 3 green marbles. Two marbles are drawn from the bag without replacement.
Based on the tree diagram, what is the probability that a GREEN marble and then a RED marble is drawn? (in simplest fraction form)
A)
1
5
B)
1
10
C)
3
10
D)
4
11
Answer:
Step-by-step explanation:
so you have 1 red, 2 blue, and 3 red. Together that would be 6 marbles. However it apears that with each draw you gain two marbles. therefore there are 12 possibilities. The likely hood that you will get a green marble then a red marble should be 2/12. In simplified form it is 1/6.
Answer:the answer is 1/5 the other guy got it wrong
Step-by-step explanation: