The temperature at Tacoma WA is -26 5/12°F.
What is the temperature?The temperature at 5pm in Juneau Alaska: temperature at noon + total change in temperature
-20 + (-1.25 x 5)
-20 - 6.25 = -26.25°F = -26 1/4°F
The temperature in Tacoma WA = termpature in Juneau + difference in temperature
-26 1/4°F - 2/3 = -26 5/12°F
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Use the following sample to estimate the population proportion of red automobiles in the United States.
A.19%
B.20%
C.21%
D.22%
The population proportion of red automobiles in the United States exists 22 %.
What is meant by proportion?An analysis of two numbers in terms of their proportion. A ratio is said to be directly proportional to another if two sets of given numbers are increasing or decreasing in the same ratio.
The proportion of red automobiles in the United States(P) is given by:
P = [Number of red automobiles / Number of automobiles in US ]× 100
According to the table
Number of red automobiles = 32 + 29 + 23
Number of red automobiles = 84
Number of automobiles
= 32 + 29 + 23 + 18 + 36 + 25 + 4 + 17 + 11 + 25 + 26 + 39 + 10 + 46 + 33
Number of automobiles = 374
put the values into the equation
P = [Number of red automobiles / Number of automobiles in US ] × 100
substitute the values in the above equation, we get
P = [84 Cars / 374 Cars] × 100
simplifying the above equation, we get
Proportional = 0.2245 × 100
Proportional = 22.45
Proportional = 22 percentage
Therefore, the correct answer is option D. 22 %.
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A farm is rectangular with an area of 5/8 square miles. If the length
of the farm is 1/9 miles, what is its width? Answer with a fraction in
simplest form.
Answer:
45/8 or 5 5/8
Step-by-step explanation:
5/8 divided by 1/9 - 5/8 x 9/1
Answer:
5 5/8
Step-by-step explanation:
Math and stuff I dunno
PLEASE HELP
Write and solve the inequality that represents negative one third is greater than or equal to the product of negative two fifths and a number.
negative one third is greater than or equal to negative two fifths y where y is greater than or equal to negative five sixths
negative one third is greater than or equal to negative two fifths y where y is greater than or equal to five sixths
negative two fifths is greater than or equal to negative one third y where y is less than or equal to negative two fifteenths
negative two fifths is less than or equal to negative one third y where y is greater than or equal to two fifteenths
Negative one third is greater than or equal to negative four fifths y where y is greater than or equal to five twelfths
What is inequality?
A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.
From the text given in this problem, we build the inequality, and then solve it. Also,
Negative one fifth is -1/5.The product of negative two thirds and a number is -2/3x, as the number is unknown, hence we call it x.Given:
-1/3≥ (-4/5) * y
-1/3*(-5/4) ≤ y
5/12≤y
Hence, negative one third is greater than or equal to negative four fifths y where y is greater than or equal to five twelfths.
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Complete the following equations with the correct values.
sin(____) = cos(75)
cos(x) = sin(____-x)
Answer:
first blank: 15
second blank: 90
Step-by-step explanation:
Obviously, sin and cos are related, but they are not the same thing. In order for them to be equal:
sin(____) = cos(75)
the angles have to add up to 90 (complementary)
What + 75 is 90?
Do a tiny calc:
90 - 75 is 15
The second question is stating the rule generically.
x + (90 - x) is 90
how can we find vertex of degree 4 polynomials
Answer:
Below
Step-by-step explanation:
Everywhere there is a local max or minima, the slope = 0
IF you take the first derivative, set it = 0 and solve for the x values, you will get these local max/min points ....but you will not know if they are a max or a min....
so take the SECOND derivative and sub in each of the values that you got ......if you get a POSITIVE result it is a min.... a negative result is a max point...... when you find the min point(s) ...use that value of 'x' in the original equation to find the corresponding 'y' coordinate.....
OR: You can graph the function to SEE the min points .....
g suppose a small library has five book shelves labeled a-e. in how many different ways can 30 books be placed on these shelves if the books are all different
There are 150 different ways can 30 books be placed on these shelves if the books are all different.
The number of shelves on a bookshelf is 5.
The number of books on one shelf is 30.
The number of books on 5 shelves= The number of books on one shelf *The number of shelves.
which implies that, the total number of books =30*5
By multiplying 30 by 5 we get 150
total number of books =150.
hence, bookshelves have 150 books if books are placed differently.
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A middle school is having a fundraiser. Edwin wants to buy two candles for $5.95 each, three cans of candy for $2.50 each, and an ornament for $7.95.
Answer:
$27.35
Step-by-step explanation:
To solve this, we just set up an equation based on the situation given:
2 candles for 5.95 each would be (2 x 5.95)
3 cans of candy for 2.50 each would be (3 x 2.50)
1 ornament for 7.95 would just be 7.95
(2 x 5.95) + (3 x 2.50) + 7.95 = total cost
11.90 + 7.50 + 7.95 = total cost
$27.35 = total cost
How would you express the formula E3 + E4 in the form of an absolute cell address? would represent the same formula written using absolute cell addresses.
$E$3+$E$4
E3$+E4$
E$3+E$4
$(E3+E4)
$3$E+$4$E
The formula E3 + E4 can b expressed in the form of absolute cell address, that is option (a) $E$3+$E$4
The given formula is
E3 + E4
In the absolute cell address the coordinates of the column and row will be constant while copying a formula from one cell to the other. Here we use the dollar sign "$" before the coordinates of the column and row to correct them.
The given formula is E3 + E4
The E is the name and 3 and 4 are the coordinates of the column and row
The absolute cell address = $E$3+$E$4
Therefore, the absolute cell address of the given formula is $E$3+$E$4
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Determine the measure of the indicated angle 53 106 127 307
Answer: 127
Step-by-step explanation: It must add up to 180 degrees
Interior consecutive = congruent
Corresponding = 180
Which of the following equations has no real roots
a. x² - 4x + 3√2 = 0
b. x² + 4x - 3√2 = 0
c. x² - 4x - 3√2 = 0
d. 3x² + 4√3x + 4 = 0
The equation (A) x² - 4x + 3√2 = 0 has no real roots.
What are equations?An equation is a mathematical statement that contains the symbol "equal to" between two expressions with identical values.
As in 3x + 5 = 15, for example.
There are many different types of equations, including linear, quadratic, cubic, and others.
(A) x² - 4x + 3√2 = 0
b² - 4ac = (-4)² - 4(1)(3√2)
= 16 - 12√2
= 16 - 12(1.414)
= 16 - 16.968
= -0.968 < 0
There are no true roots to the equation.
(B) x² + 4x - 3√2 = 0
b² - 4ac = (4)² - 4(1)(-3√2)
= 16 + 12√2 > 0
There are 2 different real roots in the equation.
(C) x² - 4x - 3√2 = 0
b² - 4ac = (-4)² - 4(1)(-3√2)
= 16 + 12√2 > 0
There are 2 different real roots in the equation.
(D) 3x² + 4√3x + 4 = 0
b² - 4ac = (4√3)² - 4(3)(4)
= 48 - 48
= 0
The equation contains two equal roots.
Therefore, the equation (A) x² - 4x + 3√2 = 0 has no real roots.
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Giselle wants to buy the newest book in her favorite series. She has some money saved but does not want to use all her savings on the book. Giselle's grandma offers to pay some of the cost of the book for every weed she pulls in her grandma's garden. The graph shows the cost to Giselle for the purchase of the book after pulling x weeds in her grandma's garden.
1. The book is $18.
2. Giselle can earn up to $18 pulling weeds for her grandma.
3. Giselle's grandma pays her $1 for every 5 weeds she pulls.
4. Giselle does not have to use any of her own money toward the purchase of the book when she pulls 90 weeds.
5. Giselle only needs to pull 18 weeds to not use any of her own money.
The correct statements regarding the linear function graphed are given as follows:
The book is $18.Giselle's grandma pays her $1 for every 5 weeds.Giselle does not have to use any of her money when she pulls 90 weeds.What are the correct statements?The correct statements are identified from the graph of the function.
The y-intercept of the function is of 18, which represents how much she has to pay when she does not pull any week, that is, the price of the book.
The x-intercept of the function is of 90, meaning that if she pulls 90 weeks, she earns $18 from her grandmother, which is the entire price of the book.
From the intercept, we get that when the input increases from 90, from 0 to 90, the output decays by 18, from 18 to 0, hence the slope of the function is given as follows:
m = -18/90 = -0.2.
Meaning that for each weed pulled, the amount her grandma pays is of $0.2, and thus for five weeds she is paid one dollar.
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Is the converse of the statement valid?
If x is even, then x + 4 is even.
O Yes. If x + 4 is even, then x is even.
Yes. If x is even, then x + 4 is odd.
O
O
No. If x is even, then x + 4 is even.
O No. If x + 4 is even, then x is even.
The valid converse of the statement is, Yes. If x + 4 is even, then x is even. If x is even, then x + 4 is even.
Define converse.A conditional statement's opposite is produced when the hypothesis and conclusion are switched around. The converse statement is known as p⇒ q in geometry. In logic and mathematics, the reverse of a categorical or implicational statement is the outcome of reversing its two constituent statements, and it is denoted by the symbol q⇒ p. The opposite of the implication P ⇒ Q is Q P. The inverse of the categorical assertion All S are P is that All P are S.
Given,
If x is even, then x + 4 is even.
The valid converse of the statement is,
Yes. If x + 4 is even, then x is even.
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Five identical rectangular pieces of cloth of different prints when arranged as shown form a square patch. If the perimeter of each rectangular piece is 48 cm, what is the perimeter of the square patch?
(With explanation)
Answer:
Perimeter of the square patch is 240 cm.
Step-by-step explanation:
If the perimeter of each rectangular piece is 48 cm, then the length of each side of each rectangular piece is 12 cm. When the rectangular pieces are arranged to form a square patch, the patch will have 5 rows and 5 columns of rectangular pieces. Since the rectangular pieces are identical, the length of each side of the square patch will be 5 times the length of one side of a rectangular piece. Therefore, the length of each side of the square patch will be 5 * 12 cm = 60 cm.
The perimeter of the square patch is the sum of the lengths of all four sides of the patch. Since all sides of the patch have the same length, the perimeter of the square patch will be 4 * 60 cm = 240
Solve the inequality.
a-2>4
The solution is
Graph the solution.
-14 -12
-10
1
-8
-6
-4 -2 0
−2
AL
4
6
+8
8
10
12
14
The solution to the given inequality is; a > 6
How to solve Inequality problems?The given inequality is;
a - 2 > 4
Now, to start to solve this, we add 2 to both sides of the inequality using addition property of equality to get;
a - 2 + 2 > 4 + 2
a > 6
Now, the inequality when shown on a line plot is as attached and it shows that the arrow points to the right hand side.
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The HA theom is a special case of the ____
The HA Theorem is a special case of proving that two triangles are congruent. The HA theorem is a special case of the AAS theorem.
What is HA Theorem?
The HA congruence theorem for right triangles says that if the hypotenuse and an acute angle of a right triangle are congruent to the hypotenuse and an acute angle of another right triangle then the two triangles are congruent.
It states that if both hypotenuses and a pair of acute angles of two right triangles are congruent, then the triangles are congruent.
The HA Theorem is a special case of proving that two triangles are congruent.
What is AAS theorem?AAS theorem says that if two angles and any side of a triangle are congruent to two angles and any side of another triangle, then the triangles are congruent.
AAS (Angle Angle Side) theorem states that in the two triangles, if two angles and one side of a triangle are congruent to two angles and one side of a second triangle, then the two triangles are congruent.
Hence, the HA theorem is a special case of the AAS theorem.
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you are selling tickets for a high school play. student tickets cost $4 and general admission tickets cost $6. you sell 31 tickets and collect $170. write the system of equations that could be used to determine the number of student tickets, s, and the number of general admission tickets, g, were sold for the high school play. how many student tickets did you sell?
As tickets are selling for a high school play. student tickets cost $4 and general admission tickets cost $6 and sell 31 tickets and collect $170.
Therefore, the system of equation is
8$4 + 23$6 = $32 + $138 = $170 total
A system of equations is a set of one or more equations with many variables. A solution to a system of equations is a variable map such that all component equations are satisfied. That is, the point where all those equations intersect.
Given that :
Ticket cost = $ 4 and $6
and collection = $170.
Now,
4S+6G = 170 ------------------------ (1)
S+G = 31 ----------------------- (2)
Therefore, subtract from 1st equation to eliminate one variable:
4S+ 4G = 124 ----------------------------- (3)
Now,
2G = 46
⇒ G = 23 tickets
putting G = 23 in equation(2)
S = 31-23
= 8 student tickets
The system of equation is:
8$4 + 23$6 = $32 + $138
= $170 total
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Beth bought 16 tickets to a movie, where adult tickets cost $8.00 and senior citizen
tickets cost $5.00. She spent a total of $120. Create a system of equations to determine
the number of adult tickets and the number of senior citizen tickets that Beth
purchased?
A system of equations that determines the number of adult tickets and the number of senior citizen tickets that Beth purchased is x + y = 16
8x + 5y = 120.
What is a system of an equation?
A set or group of equations that you solve all at once is referred to as a "system" of equations. The simplest linear system is one with two equations and two variables. Linear equations (those that graph as straight lines) are easier to understand than non-linear ones.
Here, we have
Given: Beth bought 16 tickets to a movie, where adult tickets cost $8.00 and senior citizen tickets cost $5.00. She spent a total of $120.
We let adult tickets be x and
let senior citizens' tickets be y.
x + y = 16....(1)
8x + 5y = 120...(2)
From equation(1)
x = 16 - y
we put the value of x in equation(2) and we get
= 8(16 - y) + 5y = 120
= 128 - 8y + 5y = 120
= 3y = 8
y = 8/3
Now, we put the value of y in equation(1) and we get
x = 16-8/3
x = 40/3
Hence, a system of equations that determines the number of adult tickets and the number of senior citizen tickets that Beth purchased is x + y = 16
8x + 5y = 120.
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If f(x)=x²-2 and g(x)=x-3, what is (fog)(x)?
O (fog)(x) = x² +7
(fog)(x)=x²-6x+7
O (fog)(x)=x²-3x+7
O (fog)(x)=x²-5
Answer:
The correct answer is (fog)(x) = x² - 6x + 7.
To evaluate (fog)(x), you first need to find g(x) and then substitute the result into f(x).
g(x) = x - 3
So, (fog)(x) = f(g(x)) = f(x - 3) = (x - 3)² - 2 = x² - 6x + 9 - 2 = x² - 6x + 7.
I hope this helps! Let me know if you have any other questions.
Step-by-step explanation:
SELF EXPLANATORY
Answer:
[tex](f \circ g)(x)=x^2-6x+7[/tex]
Step-by-step explanation:
Given functions:
[tex]\begin{cases}f(x)=x^2-2\\g(x)=x-3\end{cases}[/tex]
Function composition is an operation that takes two functions and produces a third function.
The given composite function (f o g)(x) means to substitute the function g(x) in place of the x in function f(x):
[tex]\begin{aligned}(f \circ g)(x)&=[g(x)]^2-2\\&=(x-3)^2-2\\&=x^2-6x+9-2\\&=x^2-6x+7\end{aligned}[/tex]
A car was bought for £8000.its value depreciated 20% each year
Answer:
Step-by-step explanation:
i need points goodluck tho
For sheets of steel:
500 mm x 500 mm x 0.7 mm costs £6.00
1,000 mm x 1,000 mm x 0.7 mm costs £17.00
How much of a saving, in both pounds (£) and percentage (%), could you make by getting the larger sheets
cut into four pieces that are 500 mm x 500 mm?
The amount of saving in pounds is £7.00 and in percentage is 29.167%
What is percentage ?
A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.
In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).
Cost of 500mm×500mm×0.7mm = £6.00
No. of sheets that can be cut will be = [tex]\frac{1000 * 1000 * 0.7}{500 *500 *0.7}[/tex]
= 4 sheets
Cost of 1 sheet of 1000mm x 1,000 mm x 0.7 mm = £17.00
Cost of 4 sheets of 500 mm x 500 mm x 0.7 mm = £6.00 × £4.00
= £ 24.00
Hence saving = £ 24.00 - £17.00
= £ 7.00
Hence percentage of savings = 7/24 × 100
= 175/6
= 29.167%
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50 POINTS PLEASE HELP
Write quadratic functions given three points in a plane
1) Find the equation for the parabola using the linear system (pictured)
2) Write three equations using three ordered pairs
3) Write the linear system
4) Solve the system using substitution then elimination, show all work and steps
5) List the three parameter values
6) Write the quadratic equation
The resulting quadratic equation that represents the parabola is y = 2 · x² - 7 · x - 4.
How to determine the quadratic equation that represents a parabola
In this problem we find the representation of a parabola. Parabolae are always represented by quadratic equations, that is, polynomials of the form:
y = a · x² + b · x + c
Where:
x - Independent variable.y - Dependent variable.a, b, c - Real coefficients.First, write the coordinates of the three points highlighted on Cartesian plane:
(x₁, y₁) = (- 1, 5), (x₂, y₂) = (0, - 4), (x₃, y₃) = (4, 0)
Second, create a system of linear equations based on the three points and the equation of the parabola:
a - b + c = 5
c = - 4
16 · a + 4 · b + c = 0
Third, solve the system of linear equations:
Step 1 - Second equation:
c = - 4
Step 2 - Second equation in the first and third equations:
a - b = 9
16 · a + 4 · b = 4
Step 3 - Clear a in the first equation on Step 2:
a = 9 + b
Step 4 - Substitute a in the second equation on Step 2:
16 · (9 + b) + 4 · b = 4
144 + 20 · b = 4
20 · b = - 140
b = - 7
Step 5 - By the equation on Step 3:
a = 9 - 7
a = 2
Fourth, write the solution of the system of linear equations:
(a, b, c) = (2, - 7, - 4)
Fifth, write the resulting quadratic equation:
y = 2 · x² - 7 · x - 4
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Michael finished â…" of a bag of candy in 3 days. at this rate, how long will it take him to eat the entire bag of candy?
Answer:
3 days.
Step-by-step explanation:
The first sentence states that Michael ate a whole bag in 3 days. That's how long it will rtake him to eat a bag of candy, assuming it is the same size and tastiness as the first.
Quick my grade is down from this Exam, and I'm honestly so lost on this question
Which of the following expressions represents the simplified version of the expression below?
(5x3y2−3xy+2)+(2x3y2−3x2y2+4xy−7)
(Just tell me the color and explain if you want)
The equivalent expression of the given expression is 7x³y² -3x²y² + xy -5. Second option is the correct option.
What is an expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator).
What are like terms?
Similar variables and powers are referred to as like words in algebra. It is not necessary for the coefficients to agree. When two or more terms do not share the same variables or powers, they are said to be unlike terms. Unless there is a power, the variables' order is irrelevant.
Given expression is
(5x³y²−3xy+2)+(2x³y²−3x²y²+4xy−7)
Now open the brackets:
= 5x³y²−3xy+2+2x³y²−3x²y²+4xy−7
Combine like terms:
= (5x³y²+2x³y²)+ (−3xy + 4xy )+(2−7)−3x²y²
= 7x³y² + xy -5 -3x²y²
= 7x³y² -3x²y² + xy -5
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What is the input value for which g(x) = 3?
At the Input Value 9 the function g(x) will be 3.
What are Function?
A function in mathematics from a set X to the a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Al-Biruni as well as Sharaf al-Din al-Tusi, two Persian mathematicians, are responsible for the earliest known treatment of the concept of function. Initially, functions represented the idealised relationship between two varying quantities. A planet's position, for instance, depends on time. In the past, the idea was developed with infinitesimal calculus just at end of the seventeenth century, and indeed the functions that were taken into consideration were differentiable until the 19th century.
Solution:
So, it can be observed from the graph that g(x) = 3
when the value of x is 9
So, the input value is 9.
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How much more is Rs. 5000 including 13% VAT on it than Rs. 5500.
When 13% VAT is levied on Rs 5000, the total price becomes Rs. 5650. This amount is Rs. 150 more than Rs. 5500.
VAT refers to value-added tax, a flat consumption tax levied on goods and services. It is most commonly charged in the countries of the EU. VAT is calculated by multiplying the percentage given by the original price.
VAT amount = percentage × original price
= 13% × 5000
= Rs. 650
We must add the VAT amount to the original amount to get the total price.
= 5000 + 650
= Rs. 5650
The difference in Rs. 5000, including 13% VAT from Rs. 5500, can be found by subtracting the lower amount from the larger amount.
= 5650-5500
= Rs. 150
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ASAPPPPPP!!!!! for each graph caculate the slope of each line
Answer:
[tex]m = -1[/tex]
Step-by-step explanation:
Use the slope formula:
slope [tex](m) = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let:
[tex](x_1 , y_1) = (1 , 1)\\(x_2 , y_2) = (-5 , 7)[/tex]
Plug in the corresponding numbers to the corresponding variables:
[tex]m = \frac{7 - 1}{-5 - 1}[/tex]
Simplify. Combine:
[tex]m = \frac{(7 - 1)}{(-5 - 1)} \\[/tex]
[tex]m = \frac{6}{-6} = -\frac{6}{6} = -1[/tex]
[tex]m = -1[/tex] is your answer.
~
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Answer:
Slope (m) = -1
Step-by-step explanation:
Formula we use,
→ m = (y2 - y1)/(x2 - x1)
Now required slope will be,
→ (y2 - y1)/(x2 - x1)
→ (7 - 1)/(-5 - 1)
→ 6/(-6)
→ -1 => {Slope}
Therefore, the slope is -1.
What number is 12% of 45?
By solving a simple product we will see that 12% of 45 is equal to 5.4
What number is 12% of 45?
If we have a number N and we want to take a percentage P of that number, the operation we need to do is:
new number = N*(P/100%)
Here the original number is N = 45 and the percentage is 12%, then we need to solve:
new number = 45*(12%/100%) = 5.4
Then the 12% of 45 is equal to 5.4
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explain how to graph the given piecewise-defined function. be sure to specify the type of endpoint each piece of the function will have and why.
The endpoint of each piecewise-defined function is obtained.
Explain the piecewise-defined function?A function that is defined by many sub-functions, each of which applies to a specific interval of the main function's domain, is known as a piecewise-defined function (also known as a piecewise function or even a hybrid function) (a sub-domain).The stated function is-
-x + 3 ; x < 2
3 ; 2 ≤ x < 4
4 - 2x ; x ≥ 4
Due to x being bounded, the graph of f(x) = -x + 3 is drawn for x smaller than 2.Because x is bounded (greater than or equal to 2, but less than 4), the graph of f(x) = 3 is drawn.For x higher than or equal to 4, the graph of f(x) = 4 - 2x is drawn since x is bounded.For greater clarity, see the graph that is attached.
Purple is the representation of f(x) = -x + 3.Orange is a representation of f(x) = 3.Green represents the equation f(x) = 4 - 2x.To know more about the piecewise-defined function, here
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The complete question is-
Explain how to graph the given piecewise-defined function. Be sure to specify the type of endpoint each piece of the function will have and why. f(x) = StartLayout enlarged left-brace 1st Row 1st column negative x + 3, 2nd column x less-than 2 2nd row 1st column 3, 2nd column 2 less-than-or-equal-to x less-than 4 3rd Row 1st column 4 minus 2 x, 2nd column x greater-than-or-equal-to 4 EndLayout
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Answer:
step 4 ,step 2, step 1 , step 3 , step 5
a cook uses 1 3/4 teaspoons if salt to make 3 1/2 pounds of pasta. what is the unit rate in teaspoons per pound , at which the cook uses salt to make pasta?
The unit rate in teaspoons per pound would be 1/2 teaspoons per pound.
What is the unit rate?
A unit rate means a rate for one or something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
The number of teaspoons:
[tex]=1\frac{3}{4}\\\\=\frac{4+3}{4}\\\\=\frac{7}{4}[/tex]
Amount of pasta:
[tex]=3\frac{1}{2}\\\\=\frac{6+1}{2}\\\\=\frac{7}{2}[/tex]
Now the unit rate = number of teaspoons/ amount of pasta
[tex]=\frac{7/4}{7/2}\\\\=\frac{1}{2}\\[/tex]
Hence, the unit rate in teaspoons per pound would be 1/2 teaspoons per pound.
To learn more about unit rates, visit:
https://brainly.com/question/4895463
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Answer:
Step-by-step explanation:
1/2
