Yoshi is making blueberry muffins. He needs 1 1/4 cups of blueberrie to make 1 batch pf muffins. How many cups will he need to make 2 1/2 batches?

Answers

Answer 1

Answer: [tex]3\dfrac{1}{8}\ \text{cups}[/tex]

Step-by-step explanation:

Given

Yoshi need [tex]1\frac{1}{4}[/tex] cups of blueberries to make 1 batch of muffins

convert mixed fraction to fraction

[tex]\Rightarrow 1\dfrac{1}{4}=\dfrac{5}{4}[/tex]

i.e. [tex]\frac{5}{4}[/tex] cups are required for 1 batch of muffins

for [tex]2\frac{1}{2}[/tex] batch or [tex]\frac{5}{2}[/tex] batch it is given by

[tex]\Rightarrow \dfrac{5}{2}\times \dfrac{5}{4}\\\\\Rightarrow \dfrac{25}{8}=3\dfrac{1}{8}\ \text{cups}[/tex]


Related Questions

Evaluate the expression 4xy-yz

Answers

The expression 4xy-yz is an algebraic equation.

What is expression?

Expression is defined as a way of conveying one's thoughts and feelings through spoken or written words, behavior, or art. It is a form of communication, which can be both verbal and non-verbal. Expression can also be used to show an emotion, opinion, or reaction. Expression is a way of expressing oneself, and it can be used to share ideas, feelings, and experiences with others.

To evaluate it, one must first substitute numerical values for the variables. For example, if x=2, y=3, and z=1, then the equation can be solved as follows: 4(2)(3) - (3)(1) = 12 - 3 = 9. Therefore, the expression 4xy-yz evaluates to 9.

The expression 4xy-yz can also be evaluated using the Order of Operations. This is the rule that states that multiplication and division should be done before addition and subtraction. In the equation 4xy-yz, the multiplication (4xy) should be done first, followed by the subtraction (-yz). This would yield an answer of 4x-z. Again, numerical values must be assigned to the variables in order to find the answer.

In conclusion, the expression 4xy-yz can be evaluated by either substituting numerical values for the variables or following the Order of Operations. The answer will depend on the values that are assigned to the variables.

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The expression 4xy-yz is an algebraic equation.

What is expression?

Expression is defined as a way of conveying one's thoughts and feelings through spoken or written words, behavior, or art. It is a form of communication, which can be both verbal and non-verbal. Expression can also be used to show an emotion, opinion, or reaction. Expression is a way of expressing oneself, and it can be used to share ideas, feelings, and experiences with others.

To evaluate it, one must first substitute numerical values for the variables. For example, if x=2, y=3, and z=1, then the equation can be solved as follows: 4(2)(3) - (3)(1) = 12 - 3 = 9. Therefore, the expression 4xy-yz evaluates to 9.

The expression 4xy-yz can also be evaluated using the Order of Operations. This is the rule that states that multiplication and division should be done before addition and subtraction. In the equation 4xy-yz, the multiplication (4xy) should be done first, followed by the subtraction (-yz). This would yield an answer of 4x-z. Again, numerical values must be assigned to the variables in order to find the answer.

In conclusion, the expression 4xy-yz can be evaluated by either substituting numerical values for the variables or following the Order of Operations. The answer will depend on the values that are assigned to the variables.

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please help this is due today!! :( find the constant rate of change in interpret meanings for both graphs

Answers

Answer:

2/3

Step-by-step explanation:

each point on the graph goes up 2 and over 3, and it's going in the positive direction. every 2/3 days the book sales go up 1,000 dollars

How do you solve a 2 step equation 7th grade?

Answers

The Two steps equation in mathematics can be solved within exactly two steps by performing operation on both sides of the equation .

What is a Two Step Equation ?

The Two Step Equation can be defined as the equations that can be solved exactly within two steps.

When solving the  two step equation, we have to perform the operation on both sides of equals to sign.

To solve the equation we need to perform same operation on both sides of equation.

For Example ⇒ Solve [tex]3x+3=12[/tex] ;

Step1 : we Subtract 3 from both sides to isolate the variable x.

⇒ [tex]3x + 3 - 3 = 12 - 3[/tex]

⇒ [tex]3x = 9[/tex]

Step2 : We Divide both the sides of equation by 3 and solve for x.

⇒ [tex]\frac{3x}{3} =\frac{9}{3}[/tex]

⇒ [tex]x = 3[/tex] ;

Therefore , the given equation is solved in two steps .

The given question is incomplete , the complete question is

How do you solve a 2 step equation ?

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The radius of a circle is 4 centimeters. What is the circle's area? Use 3.14 for ​.

Answers

Answer:

A = 50.2 cm^2

Step-by-step explanation:

If the radius is r = 4 cm, the area of the circle is A = (3.14)(4 cm)^2, or

A = 50.2 cm^2

-97.54 es racional o irracional

Answers

Respuesta:  Racional

Explicación:

El número es racional ya que podemos representarlo como una fracción de enteros.

Más específicamente, -97.54 = -9754/100

-----------------------------------------------------------------------------

Translation to English:

Answer: Rational

Explanation:

The number is rational since we can represent it as a fraction of integers.

More specifically,  -97.54 = -9754/100

4t+6 evaluate the expression if t=1

Answers

Answer:

10

Step-by-step explanation:

You can replace t in the equation with 1 like so 4(1)+6 using pemdas first you'd   multiply 4 by 1 which is 4 and then add 6 which is 10.

In which quadrant does θ lie if the following statements are true:
cosθ<0 and cscθ>0

Answers

Given:

[tex]\cos\theta <0[/tex] and [tex]\csc\theta >0[/tex]

To find:

The quadrant in which θ lie if the given statements are true.

Solution:

We know that,

All trigonometric ratios are positive in I quadrant.

Only sine and cosecant are positive in II quadrant and others are negative.

Only tangent and cotangent are positive in III quadrant and others are negative.

Only cosine and secant are positive in IV quadrant and others are negative.

We have,

[tex]\cos\theta <0[/tex] and [tex]\csc\theta >0[/tex]

Here, cosine is negative and cosecant is positive. It is only possible when [tex]\theta [/tex] lies in II quadrant.

Therefore, the [tex]\theta [/tex] lies in II quadrant.

janmilkzec whatever your name is post up

Answers

I am very confused on what’s going on here

What is the y value where the hole is located in this equation. Show your work. f(x)= (4x-4) x (x-12)/(x-12)

Answers

Answer:

y = 44

Step-by-step explanation:

Given

f(x) = [tex]\frac{(4x-4)(x-12)}{x-12}[/tex] ← cancel the factor (x - 12)

     = 4x-4

Removing this factor creates a hole at

x - 12 = 0 ⇒ x = 12

Substitute x = 12 into the simplified f(x)

y = 4(12) - 4 = 48 - 4 = 44

That is hole at (12, 44 )

Write the following phrase as an algebraic expression. Use b for the unknown. A number split into 18 equal parts

Answers

Answer:

b/18

Step-by-step explanation:

1. Calculate the unit rate if you are
shopping and you buy 10 pounds of
bananas for $8.50. What is the
cost per pound?

Answers

The cost per pound of bananas is $0.85.

To calculate the unit rate or cost per pound, we divide the total cost by the number of pounds.

You purchased 10 pounds of bananas for $8.50.

To find the cost per pound, we divide the total cost by the number of pounds:

Cost per pound = Total cost / Number of pounds

The total cost is $8.50 and the number of pounds is 10. So we can calculate the cost per pound as follows:

Cost per pound = $8.50 / 10 pounds

To perform the division, we divide the numerator ($8.50) by the denominator (10 pounds):

Cost per pound = $0.85

This means that for every pound of bananas you purchase, it will cost you $0.85.

The unit rate allows you to compare the cost of different quantities.

It tells you that if you want to know the cost of a certain number of pounds of bananas, you can multiply that number by $0.85 to find the total cost.

It's important to note that unit rates are helpful for comparing prices and making informed purchasing decisions, especially when dealing with different quantities or sizes of items.

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Jessi is making a clay tower for an art project. The tower has a rectangular base with an area of 36 cm2. She wants
to tower to be 10 cm high. What is the volume of clay that Jessi will use in her tower?

Answers

Answer:

360cm3

Step-by-step explanation:

To do this, you can multiply the base (l * w) by the height to determine the volume. This would be 36*10=360. Then remember that it is a 3 dimensional shape, so the valume is cubed.

A survey of 100 high school students provided this frequency table on how students get to school: Drive to Take the Grade Walk School bus Sophomore 2. 25 3 Junior 13 20 2. Senior 25 5 5 Find the probability that a randomly selected student drives to school. ​

Answers

The probability that a randomly selected student drives to school is [tex]\frac{2}{5}[/tex]

It is correct for Acellus 100%

Explanation: Trust me lol

2/5 is the probability that a randomly selected student drives to school. ​

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Given that A survey of 100 high school students provided this frequency table on how students get to school.

The total number of students drive to school are 2+13+25

40 students drive to school.

The total number of students in school is 100.

We need to find the probability that a randomly selected student drives to school.

P(Drive to school)=40/100

=2/5

Hence, 2/5 is the probability that a randomly selected student drives to school. ​

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The probability of rolling a 4 on a number cube is 1/6. If you were to roll the cube 48 times, you would expect to get a 4 around 8 times

Answers

Answer: If you were to roll the cube 48 times, you would expect to get a 4 around 8 times.

Step-by-step explanation:

(1/6 - 48 = 8).

Answer:

yes

Step-by-step explanation:

1/6 X 48 times =8 times

It takes a Kailtyn 1/8 of an hour to make a pair of earrings. How many pairs can Kailtyn make in 3 3/8 hours?

Answers

Answer:

I think the answer is 27 im not sure although i hope it is correct

Step-by-step explanation:

Good luck and have a good day

Part A
What is the volume of the gift shown?
Part B
Which equation was used to find the volume in Part A?

Answers

Answer:

Part A:

1120 inches cubed

Part B:

Base X Height

Step-by-step explanation:

What y-intercept means?

Answers

A line's x-intercept as well as y-intercept are the points at which the x- and y-axes, respectively, are crossed.

Now, According to the question:

Let's know:

Definition of Intercept

The term "intercept" refers to the location where a line and curve crosses an graph's axis. The x-intercept would be the point at which the x-axis gets crossed. The y-intercept would be the point at which the y-axis becomes crossed.

The x- as well as y-axis intersection point gets what is meant when a line has an intercept. The y-axis was often taken into account if indeed the axis is also not stated. The letter "b" can be typically used to represent it.

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Si 20 000 se invierten al 9% anual capitalizable semestralmente encuentra el minimo numero de semestres requeridos para que el capital exceda 25000 30000 40000

Answers

Answer:

Los resultados están abajo.

Step-by-step explanation:

Dada la siguiente información:

Inversión inicial (VP)= $20.000

Tsa de interés (i)= 0,09/2= 0,045

Para calcular la cantidad de semestres necesarios (n) para lograr el valor requerido, debemos usar la siguiente formula:

n= ln(VF/VP) / ln(1+i)  

25.000:

n= ln(25.000/20.000) / ln(1,045)

n= 5,07 semestres

30.000:

n= ln(30000/20.000) / ln(1,045)

n= 9,21 semestres

40.000:

n= ln(40.000/20.000) / ln(1,045)

n= 15,75 semestres

I don´t understand the last one

Answers

The horizontal distance that the boat is from the lighthouse is 920.31 feet

What is an equation?

An equation is used to show the relationship between numbers and variables.

Trigonometric ratio shows the relationship between the sides and angles of a right angled triangle.

A beacon light is 113 feet above the water. The angle of elevation to the beacon is 7 degrees.

Let d represent the horizontal distance from the house.

Using trig ration:

tanФ = opposite/adjacent

Substituting:

tan(7) = 113 / d

d = 920.31 feet

The horizontal distance is 920.31 feet

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In this course, we'll begin to
explore "opposite" function types. For example, think about
a quadratic function and its key features. What key features do you think its opposite
function will have? Why?

Answers

Answer:

Some key features quadratic functions have are:

Axis of symmetryx and y-interceptsZeroesvertexPoint symmetric to y-intercept

Step-by-step explanation:

Answer: You could say something like this ''I think the opposite function of a quadratic function would have an inverted parabolic curve that always opens upwards, since a quadratic function can open upwards or downwards. It would also have a single maximum or minimum point, depending on the coefficient of the quadratic term, since a quadratic function has a single vertex. Finally, the opposite function would have either no real roots or two real roots with opposite signs, depending on the discriminant, since a quadratic function can have either two distinct real roots or two complex roots.''

links will be reported
what is the area of the figure​

Answers

Answer:

Step-by-step explanation:

The figure is a combination of a triangle and a rectangle

Area of rectangle = bh = 15(5) = 75

We have no way of finding the height of the triangle, unless there is some information that I don't see with regard to the figure.

Paige has set a goal to earn at least $220 from her part time sales job this month. she earns $20 regardless of what she sells for the month and then 20% Commission on all product sales. Write inequalities that can be used to determine X the amount of product sales Paige needs to make her goal for the month.

Answers

Answer:

The required inequality is;

0.2·X + 20 > 220

Step-by-step explanation:

The parts of the required inequality are;

The goal amount Paige set to earn for the month = At least $220

The amount she earns regardless of what she sells = $20

The percentage commission she gets for all product sales = 20%

Given that 'X' represent the amount of product sales Paige makes, we have;

The amount Paige makes in a month, A = 20% × X + 20 = 0.2·X + 20

Therefore, given that Paige's goal is to earn at least $220 from her part time sales in the current month, we get the inequality that can be used to determine the value of 'X' Paige needs to make are goal as follows;

A = 0.2·X + 20 > 220

The required inequality = 0.2·X + 20 > 220

∴ X > (220 - 20)/0.2 = 1,000

From which we get;

The amount of product sales Paige needs to make her goal, X > 1,000.

Write a linear equation and one variable that has infinitely many solutions. show the process of simplifying the equation to prove that it has infinitely many solutions.

Answers

Answer: 3x + 6 = 3x + 6

3x - 3x = 6 - 6

0 = 0

infinitely many solutions.

Step-by-step explanation: Little tip....if ur equation ends up like this : 0 = 0, or 2 = 2...or anything equal, it will have infinite solutions. If ur equation ends up like this : 2 = 4, or 5 = 7...or anything unequal, then it will have no solutions. If ur equation ends up like this : y = 2, or x = 10....then there will be one solution.

what is the area of the shaded portion of the figure above

Answers

Answer:

i need help too

Step-by-step explanation:

plese

Big Ideas:
Explain your reasoning.

Answers

Answer:

Stretch the graph of f(x) = x + 3 vertically by a factor of 2.

The "same" transformations result in f(x) = 2x + 5

The "different" transformation results in f(x) = 2x + 6

Step-by-step explanation:

Transformation Rules

[tex]f(x)+a \implies f(x) \: \textsf{translated $a$ units up}[/tex]

[tex]f(x+a) \implies f(x) \: \textsf{translated $a$ units left}[/tex]

[tex]a\:f(x) \implies f(x) \: \textsf{stretched parallel to the $y$-axis (vertically) by a factor of $a$}[/tex]

[tex]f(ax) \implies f(x) \: \textsf{stretched parallel to the $x$-axis (horizontally) by a factor of $\dfrac{1}{a}$}[/tex]

Carry out the given transformations.

Given function:

[tex]f(x) = 2x + 3[/tex]  

Translation of 2 units up:

[tex]\begin{aligned}\implies f(x) + 2&= 2x + 3 + 2\\&=2x+5\end{aligned}[/tex]

Given function:

[tex]f(x) =x + 3[/tex]

Vertical stretch by a factor of 2:

[tex]\begin{aligned}\implies 2f(x)&=2(x+3)\\&=2x+6\end{aligned}[/tex]

Given function:

[tex]f(x) = x + 5[/tex]

Horizontal shrink by a factor of 1/2:

[tex]\implies f\left(\dfrac{1}{\frac{1}{2}}x\right)=f(2x)=2x+5[/tex]

Given function:

[tex]f(x) = 2x + 3[/tex]

Translation of 1 unit left:

[tex]\begin{aligned}\implies f(x+1) &= 2(x+1) + 3\\&=2x+5\end{aligned}[/tex]

Three of the transformations result in the same function f(x) = 2 + 5.

Therefore, the transformation that does not belong with the other three is:

Stretch the graph of f(x) = x + 3 vertically by a factor of 2.

we the following mixed operations word problems
During a normal day, there are 782 passengers in average that
are late for their plane each day. However, during the
Christmas holidays, there are 1,835 passengers that are late for
their planes each day which caused delays of 14 planes. How
many more passengers are late for their planes in each day
during the Christmas holidays?

Answers

An average of 782 travelers miss their flight each day during a typical day. In contrast, 1,835 passengers are late for their flights every day over the Christmas holiday, which results in 14 planes being delayed.

1,053 travelers (2,835-782 = 1,053)

During the Christmas holidays, there are 1,053 extra passengers who are late for their flights.

How do you figure out the average number of days late?

In order to compute WADO, we multiply the total amount of each overdue invoice by the number of days past due, then divide that total by the number of days past due. You may figure out your average daily sales by dividing your total sales over a certain period of time by the number of days in that same period.

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HELP me please

It is due in 10 minutes

Answers

Answer:

C, 8 hours

Why?

Because adding the given areas are 2 + 3 + 1 = 6 hours

Now we know that a given fact is that there are 60 minutes in 1 hour.

Let's add the minutes first, 45 + 45 + 30 = 120

120 divided by 60 = 2 hours

Now let's add ALL the areas:

6 hours + 2 hour = 8 hours.

Jamie is trying to work out the surface area of the cuboid below. Spot any mistakes and write the correct answer.

Answers

Step-by-step explanation:

The dimensions of the cuboid are 5 cm, 7 cm and 9 cm.

The formula for the surface area of the cuboid is as follows :

[tex]A=2(lb+bh+hl)[/tex]

We have,

b = 9 cm, l = 7 cm and h = 5 cm

So,

[tex]A=2(9\times 7+9\times 5+7\times 5)\\\\A=2\times 143\\\\A=286\ cm^2[/tex]

Jamie forgets to multiply 143 by 2 as the formula for surface area contains 2 as well.

NEED HELP ASAP.,

WILL GIVE BRAINLIEST

Answers

the answer is 9 1/2

Answer:

95/10 or 9 5/10 or 9 1/2

Step-by-step explanation:

do the first option since itll b easier to type ig lol

A. Encuentra el valor del tercer ángulo en un triángulo que tiene dos ángulos que miden 112º Y 52º B. Encuentra el valor del cuarto ángulo en un cuadrilátero que tiene los siguientes ángulos: 105º, 32º Y 10º

Answers

Answer:

El tercer ángulo en un triángulo será 16 ° si los otros dos ángulos son 112º y 52º.

El cuarto ángulo en un cuadrilátero será 213 ° si los otros tres ángulos son 105º, 32º y 10º.

Step-by-step explanation:

Spanish

La suma de los ángulos de un triángulo siempre es igual a 180 grados. Si conocemos dos de ellos, podemos encontrar el tercero. Dejemos que el tercero se denote por x entonces

112 ° + 52 ° + x = 180 °

x = 180 ° -112 ° -52 °

x = 16 °

El tercer ángulo en un triángulo será 16 ° si los otros dos ángulos son 112º y 52º.

La suma de los ángulos de un cuadrilátero siempre es igual a 360 grados. Si conocemos tres de ellos, podemos encontrar el cuarto. Dejemos que el cuarto se denote por y luego

105º + 32º + 10º + y = 360 °

o

y = 360 ° -105º- 32º- 10º

y = 213 °

El cuarto ángulo en un cuadrilátero será 213 ° si los otros tres ángulos son 105º, 32º y 10º.

English

The sum of angles in a triangle is always equal to 180 degrees. If we know any two of them we can find the third one. Let the third one be denoted by x then

112°+52°+x= 180°

x=  180°-112°-52°

x= 16°

The third angle in a triangle will be 16° if the other two angles are 112º and 52º.

The sum of angles in a quadrilateral is always equal to 360 degrees. If we know any three of them we can find the fourth one. Let the fourth one be denoted by y then

105º+ 32º+  10º+y= 360°

or

y = 360°-105º- 32º- 10º

y= 213°

The fourth angle in a quadrilateral  will be 213° if the other three angles are 105º, 32º and 10º.

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