Step by step answer please

The inequality that describes the problem is x + 6.5 ≥ 10.

This means that the amount of cereal in the box, represented by x, must be greater than or equal to 3.5 cups (10-6.5=3.5) in order to fill the 10-cup container completely.  This means that the box of cereal must have contained at least 3.5 cups of cereal for Clarence to have enough to fill the 10-cup container completely. To calculate the amount of cereal in the box, we can subtract 6.5 from 10 to get 3.5 cupsTo solve this inequality, we add 6.5 to both sides of the equation, resulting in x ≥ 3.5. This means that Clarence needed at least 3.5 cups of cereal in the new box in order to fill the 10-cup container completely.

Learn more about inequality here:

https://brainly.com/question/30231190

#SPJ4

The two way frequency table  is:

                     9th Grade    10th Grade

Left handed       10                   12              

Right handed     111                 103          

A table created to display the distribution of a characteristic's frequency of occurrence in accordance with a specific set of class intervals.

To understand which alternatives appear more or less frequently in the dataset, frequency tables are useful. This is useful for better understanding each variable and determining whether or not variables need to be recoded.

Given:

Total Students= 236

Of those students, 121 are in 9th grade.

So, Number of left handed students in the 9th grade

= 121 - 111

= 10

and, Number of left handed students in the 10th grade

=  236 - (1- + 111 + 103)

= 12

and, Number of right handed students in the 9th grade

= 214 - 103

= 111

learn more about frequency here:

brainly.com/question/26577861

#SPJ1

You would need to order 28.21 gallons of milk each week.

To determine how many gallons of milk your business needs to order each week, you need to first calculate the total number of ounces of milk your business uses in a day. To do this, you can multiply the number of ounces of milk used per shake by the number of shakes served per day:

6 ounces/shake * 86 shakes/day = 516 ounces/day

Next, you can divide the number of ounces of milk used per day by the number of ounces per gallon to determine the number of gallons of milk your business uses per day:

516 ounces/day / 128 ounces/gallon = 4.03 gallons/day

Finally, you can multiply the number of gallons of milk your business uses per day by the number of days in a week to determine the number of gallons you need to order each week:

4.03 gallons/day * 7 days/week = 28.21 gallons/week

So, you would need to order approximately 28.21 gallons of milk each week.

To learn more about ounces click below:

https://brainly.com/question/29047570#

#SPJ4

28.21 gallons of milk you need to order each week.

The formula for calculating the amount of milk needed each week would be: (ounces of milk per shake) multiplied by (number of shakes served per day) multiplied by (number of days in the week).

For this example, the formula is:

6 ounces of milk per shake x 86 shakes per day x 7 days in the week = 3,492 ounces of milk per week.

To convert this number to gallons, we need to divide 3,492 ounces of milk by 128 ounces per gallon.

3,492 ounces of milk / 128 ounces per gallon = 28.21 gallons of milk per week.

Therefore, the answer to the question is to order 28.21 gallons of milk each week.

Learn more about total amount here:

https://brainly.com/question/29066172

#SPJ4

Answer:

The simplified version is m = -2

Step-by-step explanation:

To simplify this equation, we need to get all of the terms with m on one side of the equation and all of the constants on the other side.

First, we can add 45 to both sides of the equation to get:

-5m + 15 + 45 = 25m - 45 + 45

This simplifies to:

-5m + 60 = 25m

Next, we can subtract 25m from both sides of the equation to get:

-5m + 60 - 25m = 25m - 25m

This simplifies to:

-30m + 60 = 0

Finally, we can divide both sides of the equation by -30 to get:

(-30m + 60) / -30 = 0 / -30

This simplifies to:

m = -2

Thus, the simplified form of the equation is m = -2.

The money got by Gabriella is obtained as $6.

A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.

Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.

Suppose the age of Safia and money got by Gabriella be x and y respectively.

Then, the table can be formed as below,

Name                 Age                       Money

Safia                    x                              $18

Angelique           6                              $9

Gabriella             4                                y

As per the question, the proportionality relation for the ratios can be written as,

x/6 = 18/9

⇒ x = 12

And, 6/4 = 9/y

⇒ y = 6

Hence, the required money got by Gabriella is given as $6.

To know more about ratio and proportion click on,

brainly.com/question/14279414

#SPJ1

24 quarts of green paint should be mixed with 4 cups of black paint. This can be solved by using the concept of cross- multiplication.

Fractions are multiplied by multiplying the numerator of the first fraction by the denominator of the second fraction, and the numerator of the second fraction by the denominator of the first fraction.

In order to get the second fraction's numerator, multiply the first fraction's denominator by it. Cross multiply is another name for the butterfly technique of multiplication. The cross-multiply technique is used to find one or more variables in a fraction.

Jasper Green mix 4 quarts of green paint with 2/3 cups of black paint.

Let's convert 4 quarts into cups.

1 quart = 4 cups

4 quarts = 16 cups

Here mix 16 cups of green paint with 2/3 cups of black paint.

Let's use the proportion

Green paint            Black paint

  16                                  2/3

   x                                     4

16/x =2/3 divided by 4

Cross multiplying, we get

16 × 4 = (2/3) x

64 = (2/3) x

x = 64 ÷ (2/3)

x = 64 × (3/2)

x = 192/2

x = 96 cups

96 cups of green paint should be mixed with 4 cups of black paint.

We can covert 96 cups into quarts by dividing by 4

96/4 = 24 quarts

24 quarts of green paint should be mixed with 4 cups of black paint.

To know more about cross - multiplication refer to:

https://brainly.com/question/17211345

#SPJ1

1) The complete arithmetic sequence is; 33, 41, 49, 57, 65, 73

2) The formula for the nth term of the sequence is;  aₙ = 33 + (n - 1)8

The general formula for the nth term of an arithmetic sequence is;

aₙ = a + (n - 1)d

where;

a is first term

d is common difference

n is position of term

We are given the sequence as;

33, 41, ____, ____, ____, 73

Using the arithmetic sequence of nth term, we can say that;

a₂ = 33 + (2 - 1)d

33 + d = 41

d = 8

Thus;

a₃ = 41 + 8

a₃ = 49

a₄ = 49 + 8

a₄ = 57

a₅ = 57 + 8

a₅ = 65

This gives the sequence as;

33, 41, 49, 57, 65, 73 with a formula for nth term; aₙ = 33 + (n - 1)8

Read more about Arithmetic Sequence at; https://brainly.com/question/6561461

#SPJ1

From P10,000 in full pesos and with no spare change, each person receives P4,000, P,3000, and P3,000, respectively.

$10,000 has been given in total as an allowance.

This idea came about due to the fact that the eldest and the youngest siblings are not meant to receive an equal amount of anything when it is shared among them.

3 individuals should share it.

2 younger siblings and 1 older sibling

Let

the younger sibling receives P4,000

Every younger sibling would receive P3,000

There is no residual in the overall allowance supplied; each person receives the full value of their pesos.

So, from a total of P10,000, each person receives P4,000, P,3000, and P3,000.

Read more about shares at:

brainly.com/question/11553378

#SPJ4

The simplified expression will be (x+7)/(x+3)

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x2 is a non-zero term(a ≠ 0). For writing a quadratic equation in standard form, the x2 term is written first, followed by the x term, and finally, the constant term is written. The numeric values of a, b, c are generally not written as fractions or decimals but are written as integral values.

We shall simplify them individually;

x^2 +3x-28

x^2 + 7x - 4x - 28

x(x+7) - 4(x+7)

(x-4)(x+7)

x^2 - 7x+12

x^2 -4x -3x +12

x(x-4) - 3(x-4)

(x-3)(x-4)

Eliminating like terms, therefore;

(x-4)(x+7) / (x-4)(x+3) = (x+7) / (x+3)

Learn more about quadratic equations here: https://brainly.com/question/1214333

#SPJ1

To calculate the price of the video game console we need to calculate the simple interest first:

Simple Interest = (Principal x Rate x Time)

Simple Interest = (2700 x 0.12 x 3) = $972.00

Now we know the interest, we can calculate the price of the video game console by subtracting the interest from the total amount Claudia returned:

Price of the video game console = $3,000.00 - $972.00 = $2,028.00

So, the price of the video game console is $2,028.00

Answer: 5/18

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 1/18 use a fraction calculator

On solving the provided question, we can say that - the interest ant the end of the time will be 45

Multiplying the principal by the interest rate, time, and other factors yields simple interest. Simple return equals principle times interest times hours is the marketed formula. It is easiest to compute interest using this formula. A percentage of the principle balance is how interest is most commonly computed. For instance, he will only pay his portion of the 100% interest if he borrows $100 from a buddy and promises to pay it back with 5% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and when you lend money, you must charge interest. Most of the time, interest is expressed as a yearly percentage of the loan amount. The interest rate on the loan is known as this percentage.

here

P = 1000

R = 4.5

T = 1

SI = PRT/100

SI = 1000 X 4.5 X 1/100 = 45

To know more about interest visit:

https://brainly.com/question/28792777

#SPJ1

In triangle PQR, the ratio of the vertical Length to the horizontal length is 1:1 and in triangle STU the ratio of the vertical length to the horizontal length is 1:2

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 4 girls you could write the ratio as: 1 : 4 (for every one boy there are 4girls) 1 / 5are boys and 4 / 5are girls.

In traingle PQR, the length of the vertical side is 2 and the length of the horizontal side is 2. therefore the ratio of vertical length to horizontal length is 2: 2

dividing through by 2

= 1 : 1

In triangle STU

The length of the vertical length is 3 and the horizontal length is 6. Therefore the ratio of the vertical length to horizontal length is 3: 6

dividing through by 2

= 1 : 2

learn more about ratio from

https://brainly.com/question/2328454

#SPJ1

Yes, a scatter plot can have three variables. This type of plot is called a 3D scatter plot and can be used to visualize the relationships between three numeric variables.

By plotting three numeric variables in a three-dimensional space, it is possible to see how the values of each variable interact with each other. For example, one could use a 3D scatter plot to compare the sales of three different products over time, or to see how the values of three different types of stock correlate with each other.

3D scatter plots also allow for the visualization of non-linear relationships, making them a powerful tool for exploring complex datasets. Additionally, 3D scatter plots can be used to observe how one variable impacts the other two variables, or to identify clusters and outliers in the data.

To know more about scatter plots refer to the  link   brainly.com/question/29231735

#SPJ4

Answer: 17

Step-by-step explanation:

Substitute 11 into m:

3 * 11 - (11 + 5)

= 33 - 16

= 17

Answer:

The answer is 17

Step-by-step explanation:

3(11)-(11+5)

33-16

=17

The three sides and three angles of a triangle must first be known before you can determine whether it is sine, cosine, or tangent.

The lengths of the sides of the triangle can be determined by employing the trigonometric functions sine, cosine, and tangent with these measurements.

For instance, you can use the sine, cosine, and tangent functions to determine the sides' lengths given the triangle's three angles. The length of the opposite side divided by the length of the hypotenuse is equal to the sine of an angle. The cosine of an angle is the product of the lengths of the sides that are adjacent and the hypotenuse. The length of the opposite side divided by the length of the adjacent side is the tangent of an angle.

The ratios of the sides can be compared to determine whether the triangle is a sine, cosine, or tangent triangle after these lengths have been calculated.

Learn more about Triangles here:

https://brainly.com/question/25215131

#SPJ4

Answer;

i=-7

Step-by-step explanation;

TBH we have all we need its given to us in the question, divide both sides by the same amountt

9i=-63

divide by 9 to leave i alone

the one step equation is solved

Answer:

[tex] \sf \: i = - 7[/tex]

Step-by-step explanation:

Now we have to,

→ find the required value of i.

The equation is,

→ 9i = -63

Then the value of i will be,

→ 9i = -63

→ (9i) ÷ 9 = (-63) ÷ 9

→ (i) = (-7)

→ [ i = -7 ]

Hence, the value of i is -7.

The four types of rigid transformations are translation, rotation, reflection, and glide reflection.

A rigid transformation, also known as an isometry or congruence transformation, is a type of transformation that preserves the distances and angles between the points in a figure. This means that a rigid transformation does not change the shape or size of a figure, but only its position and orientation in the coordinate plane.

Learn more about rigid transformations, here https://brainly.com/question/29175049

#SPJ4

The number of possible outcomes in the sample space is 3 and the list is {CN, NN, NC}.

A sample space is the set of all possible outcomes in a random experiment. Sample space is usually denoted as S.

Given that, three chocolates remain in a a box of chocolates. one has cherry filling and the other two have nuts inside. you randomly pick a piece for yourself. then you pick a piece for your friend.

Let C be the cherry filled chocolate and N be the nut filled chocolate.

The possible outcomes if the first picked chocolate is not placed back are :

{CN, NN, NC}

The possible outcomes if the first picked chocolate is placed back are :

{CC, CN, NC, NN}

Hence the number of outcomes are 3 and the set is {CN, NN, NC}

To learn more about Sample Space, click on the link :

https://brainly.com/question/30206035

#SPJ1

Answer:

Step-by-step explanation:

999

It is not necessary for all three criteria (SAS, SSS, and ASA) to apply in order for two triangles to be congruent.

In order for two triangles to be congruent, all three pairs of corresponding sides must be equal in length and all three pairs of corresponding angles must be equal in measure. This is known as the "side-angle-side" (SAS) criterion for triangle congruence.

It is possible for two triangles to be congruent using only the SAS criterion, in which case you do not need to use the "side-side-side" (SSS) or "angle-side-angle" (ASA) criteria. However, it is also possible for two triangles to be congruent using either the SSS or ASA criteria, or a combination of all three.

Learn more about triangles on:

https://brainly.com/question/17335144

#SPJ1

The axis of symmetry if the function f(x) = x² - 8x + 17 is solved to get 4

The function f(x) = ax² + bx + c, where a, b, and c are numbers and a is not equal to zero, is a quadratic function.

A parabola is a curve that represents a quadratic function on a graph.

The line that divides the function into two is the axis of symmetry. The axis of symmetry is given by the formula

= b / 2a

Comparing with the equation in the problem

b = 8 and a = 1

= 8 / (2 * 1)

= 8 / 2

= 4

the axis of symmetry is 4

Learn more about quadratic equation at:

https://brainly.com/question/1214333

#SPJ1

By using the Law of Syllogism, a conditional should be used to write this statement "If a baby has a fever, then the baby is sick. If a baby is sick, then the baby must be brought to the hospital" as follows: B. If the baby has a fever, then the baby must be brought to the hospital.

In Mathematics, the Law of Syllogism is sometimes referred to as reasoning by transitivity and it states that if two (2) statements are true, then a third true statement can be logically derived.

Mathematically, the Law of Syllogism follows a specific pattern and can be represented by the following conditional statements:

Conditional statement 1: If P, then Q (P ↔ Q).

Conditional statement 2: If Q, then R (Q ↔ R.

Conditional statement 3: If P, then R ( P ↔ R).

In this context, we can reasonably infer and logically deduce that a sick baby must be taken to hospital based on the given premise in accordance with the Law of Syllogism.

Read more on Law of Syllogism here: brainly.com/question/25321079

#SPJ1

Complete Question:

Use the Law of Syllogism to write a conditional for the following statement.

If a baby has a fever, then the baby is sick. If a baby is sick, then the baby must be brought to the hospital.

answer choices

If the baby is sick, then the baby must be brought to the hospital.

If the baby has a fever, then the baby must be brought to the hospital.

If the baby has a fever, then the baby is sick.

7x²+9x²-x² = 15x²

use DMAS rule,

The DMAS rule describes the following arrangement of the mathematical function.

D- Division

M - Multiplication

A- addition    

S- subtraction

DMAS rule is used to make the binding order of infix notation explicit for people who are learning to do more than just 'sums' or 'products'.

So, by applying the above rule the solution is as follows:

first, we need to solve addition because there is no division and multiplication

as per the equation, it is the addition function

7x² + 9x² = 16x²

next,

now perform the subtraction function

16x²-x² = 15x²

therefore,

7x²+9x²-x² = 15x²

To learn more about the DMAS rule, please refer to the link below:

https://brainly.com/question/21166078

The fraction taken off before 8:00a.m was 15/100, or 15%.

Fraction is a numerical expression which represents a part of a whole or, more generally, any number of equal parts. It is represented by two numbers separated by a line, with the first number indicating the number of parts and the second number indicating how many parts make up the whole. Common fractions are examples of fractions, such as one-half (1/2), one-third (1/3), two-thirds (2/3), and three-quarters (3/4).

This means that all items in the store were discounted by 15% before 8:00a.m. on Labor Day. This was an attractive offer for shoppers who wanted to get the best deals and discounts available. Customers could take advantage of the discounted prices and save money on their purchases. The store's Labor Day sale provided great savings for customers who arrived before 8:00a.m. on the holiday.

To know more about fraction click-
https://brainly.com/question/78672
#SPJ1

Answer:  324 squared

Step-by-step explanation:

ok so you do 3 times 3 times 4 times 3 times 3

Answer:

Step-by-step explanation:

39 plus 38 eqauls 77 +40=107-30=87 hope this helped please mark me brainliest.   :)

The packaging 2 uses more material than packaging 1

From the question, we have the following parameters that can be used in our computation:

Package = 12 cans

Material 1 = 3 rows of 4

Material 2 = 6 rows of 2

The packaging uses more material has the greater perimeter

The perimeter is then calculated as

Perimeter = 2 * (Rows + Column)

substitute the known values in the above equation, so, we have the following representation

Material 1 Perimeter = 2 * (3 + 4)

Material 1 Perimeter = 14

Material 2 Perimeter = 2 * (6 + 2)

Material 2 Perimeter = 16

This means that the material 2 uses more material because 16 is greater than 14

The company can choose to package 12 cans one way instead of another because one package can use more material than the other and they need to save cost

Read more about perimeter at

https://brainly.com/question/18019422

#SPJ1