Doughnuts are sold in bags and cartons.
A bag hold 4 doughnuts and a carton holds 10 doughnuts
Tom buys B bags and C cartons of doughnuts.
He buys a total of T doughnuts.
Write down a formula for T in terms of B and C

Based on the information provided, we can assume that the sample of 700 births is representative of the population of births in the local area. The distribution of these 700 births across the days of the week can be analyzed to determine whether or not newborn babies are uniformly distributed across the days of the week.If the distribution of the 700 births is approximately equal across all seven days of the week, then we can conclude that newborn babies are uniformly distributed. However, if the distribution is significantly different from what would be expected if births were uniformly distributed, then we can conclude that there may be a non-uniform pattern of births.

Without knowing the actual distribution of the 700 births, we cannot definitively answer this question. However, if the distribution is close to equal, then we can tentatively say that newborn babies are uniformly distributed across the days of the week.

Learn more about uniformly distributed here :brainly.com/question/30657467

#SPJ11

Answer:

Step-by-step explanation:

Use the table to find the slope and y-intercept

Find the slope:

Find b using the pair (1, 4):

The line is:

The y-intercept is 3

Answer:

b = 3

Step-by-step explanation:

To write an expression for a rectangular prism whose length is 2 inches more than twice the width, and the height is 3 inches more than the length, we need to use the variables x, y, and z where x represents the width of the prism, y represents the length, and z represents the height.

Therefore, we can write;

Let x = the width of the prism

y = 2x + 2 (because the length is 2 inches more than twice the width)

x + 2y + 3 = z (because the height is 3 inches more than the length)

Thus, the expression for the rectangular prism can be written as follows:

x(width) = x y(length)

             = 2x + 2height

             = 3 + 2x + 2 + x

             = 3x + 5

As a result, the rectangular prism can be expressed as  

x by 2x + 2 by 3x + 5,

where x represents the width of the prism, 2x + 2 represents the length, and 3x + 5 represents the height of the prism.

The expression provides information on the dimensions of the rectangular prism and can be used to find its volume.

Learn more about rectangular prism from the given link

https://brainly.com/question/30095130

#SPJ11

Option (A) 10 inches by 6 inches is correct because the top of the face will be a rectangle.

It is defined as the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

The question is incomplete.

The complete question is:

Sawyer cuts a block of the wood along the red line. When he looks at the newly exposed face, what is the shape of the cross-section?

Please refer to the picture for the figure

We have given a three-dimensional figure in the picture:

If Sawyer cuts a block of the wood along the red line.

The top of the face will be a rectangle.

The bottom of the face has dimensions of 10 inches by 6 inches.

The top face will have the same dimension.

Thus, option (A) 10 inches by 6 inches is correct because the top of the face will be a rectangle.

Learn more about the rectangle here:

https://brainly.com/question/15019502

#SPJ1

Answer:

2.06

Step-by-step explanation:

The original decimal is 2.0625.

Since the thousandths place is 2, we can't round up. So we can keep the 6 which is in the hundredths place giving us 2.06

Answer:

b(-10) = 6

Step-by-step explanation:

B(x)= |x+4|

Let x = -10

B(-10)= |-10+4|

            |-6|

Take the positive value

               6

Answer:

6

Step-by-step explanation:

|-10+4|

|-6|

Remove brackets

6

Answer:

12

Step-by-step explanation:

its just how it is

An absolute value inequality that represents the situation is,

I x - 0.09 I ≤ 4.65.

The solution is -4.56 ≤ x ≤ 4.74.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

A carpenter is cutting pieces of wood that are 4.65 meters long.

The wood must be within 0.09 meters of the required length.

That means,

I x - 0.09 I ≤ 4.65

Solving further,

-4.65 ≤ (x - 0.09) ≤ 4.65

-4.56 ≤ x ≤ 4.74

Therefore, the solution is -4.56 ≤ x ≤ 4.74.

To learn more about the inequality;

brainly.com/question/28823603

#SPJ1

Answer:

5/3

Step-by-step explanation:

2 7/9

multiply 9 with 2 which is

18 . then

add 18 to 7 which is

25 which will make it

25/9

square root of 25 is

5

square root of 9 is

3

making the fraction =

5/3

Answer:

A) x=10

Step-by-step explanation:

All the angles in a triangle will add to equal 180°.

Knowing this, we can set up an equation.

(8x+5) + (5x-1) + (4x+6)= 180°

In order to solve, we must first combine like terms. (These can be found on the left side of the equation).

8x+5x+4x= 17x

5+ (-1) + 6= 10

We can now rewrite our equation as follows:

17x+10=180°

Subtract 10 from both sides.

17x+10=180°

    - 10   -10

17x=170°

Divide by 17 on both sides.

17x=170°

----   -----

17      17

x= 10°

The answer is x=10°.

Answer:

10/6 i think

Step-by-step explanation:

Rounded to four decimal places, the p-value is 0.0844.

To determine the p-value for this hypothesis test, we need to follow these steps:

Step 1: State the null and alternative hypotheses.

Null hypothesis: The percentage of readers who own a laptop is 26%.

Alternative hypothesis: The percentage of readers who own a laptop is different from 26%.

Step 2: Determine the test statistic.

We can use a z-test for proportions since we have a large enough sample size and we know the population proportion. The formula for the test statistic is:

z = (p - p) / √(p(1-p) / n)

where p is the sample proportion, p is the hypothesized population proportion, and n is the sample size.

Using the given values, we have:

z = (0.17 - 0.26) / √(0.26(1-0.26) / 100)

z = -1.72

Step 3: Determine the p-value.

Since this is a two-tailed test, we need to find the area in both tails of the standard normal distribution that corresponds to a z-score of -1.72. Using a table or a calculator, we find that the area in the left tail is 0.0422 and the area in the right tail is also 0.0422.

Therefore, the p-value is the sum of the areas in both tails:

p-value = 0.0422 + 0.0422

p-value = 0.0844

To know more about p-value,

https://brainly.com/question/30078820

#SPJ11

The length of the third side of the triangle using the Pythagorean Theorem is 4.6 units.

The Pythagorean Theorem, often known as Pythagoras Theorem, is a crucial concept in mathematics that describes how the sides of a right-angled triangle relate to one another. Pythagorean triples are another name for the sides of the right triangle. Below, examples help to demonstrate the formula and proof of this theorem. In essence, the Pythagorean theorem is used to determine a triangle's angle and length of an unknown side. This theorem allows us to obtain the hypotenuse, perpendicular, and base formulae.

The given triangle is a right angled triangle.

Thus, using the Pythagoras Theorem we have:

c² = a² + b²

Substituting the values:

5² = a² + 2²

25 = a² + 4

a = √21 = 4.6

Hence, the length of the third side of the triangle using the Pythagorean Theorem is 4.6 units.

Learn more about Pythagoras Theorem here:

https://brainly.com/question/21926466

#SPJ1

a = amount invested at 7%

b = amount invested at 9%

we know the amount invested was ₹36000, thus we know that whatever "a" and "b" are, a + b = 36000.  We can also say that

\(\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{7\% of a}}{\left( \cfrac{7}{100} \right)a}\implies 0.07a~\hfill \stackrel{\textit{9\% of b}}{\left( \cfrac{7}{100} \right)b}\implies 0.09b\)

since we know the interest earned from the invested was ₹2920, then we say that 0.07a + 0.09b = 2920.

\(\begin{cases} a + b = 36000\\\\ 0.07a+0.09b=2920 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{using the 1st equation}}{a + b = 36000\implies \underline{b = 36000-a}}~\hfill \stackrel{\textit{substituting on the 2nd equation}}{0.07a~~ + ~~0.09(\underline{36000-a})~~ = ~~2920} \\\\\\ 0.07a+3240-0.09a=2920\implies 3240-0.02a=2920\implies -0.02a=-320 \\\\\\ a=\cfrac{-320}{-0.02}\implies \boxed{a=16000}~\hfill \boxed{\stackrel{36000~~ - ~~16000}{20000=b}}\)

The sets that form a partition of set A = {a, b, c, d, e, f, g, h, i} are: {b, e, f}, {a, c, g, i}, {d, h}. These sets together cover all the elements of set A and do not overlap with each other.

A partition of a set is a collection of subsets that cover all the elements of the set and do not overlap with each other.

In the given options, the sets that form a partition of set A are:

{b, e, f}: This set covers elements b, e, and f from set A.

{a, c, g, i}: This set covers elements a, c, g, and i from set A.

{d, h}: This set covers elements d and h from set A.

These sets together cover all the elements of set A = {a, b, c, d, e, f, g, h, i} and do not have any common elements.

Hence, they form a partition of set A.

To learn more about sets visit:

brainly.com/question/30705181

#SPJ11

Answer:

(7, -1)

Step-by-step explanation:

3x + 7y = 14

y = x - 8

3x + 7(x - 8) = 14

3x + 7x - 56 = 14

10x - 56 = 14

Add 56 to both sides.

10x = 70

Divide both sides by 10.

x = 7

3(7) + 7y = 14

21 + 7y = 14

Subtract 21 from both sides.

7y = -7

Divide both sides by 7.

y = -1

(7, -1)

Answer:

transversal

Step-by-step explanation:

1. In geometry any line which passes through or intersects  2 or more line are called a transversal.

2.Transversal are generally used in geometry of Euclidean plane to  decide whether the given set of lines  through which transversal passes are parallel or not.

Answer:

For each sandwich, spread 2 tablespoons peanut butter onto 1 slice of bread. Spread 1 tablespoon jelly onto another slice of bread.

Heat 12-inch skillet or griddle over medium heat.

Place 2 sandwiches into skillet. Cook, turning once, 4-6 minutes or until golden brown and peanut butter is melted.

Step-by-step explanation:

Answer:

6 chairs per table

Step-by-step explanation:

We know

36 chairs at 6 tables. Find the unit rate.

36 / 6 = 6 chairs per table

So, the answer is 6 chairs per table.

We need to find the inverse of the function gof (x). First we need to find the composite function gof (x) which is given by:

\(g(f(x)) = g(3x - 6)\)

= \((1/3)(3x - 6) + 1\)

= x - 1 + 1

= x

Thus,

gof (x) = x.

Now we need to find the inverse of the function gof (x) to obtain

\((gof)^-1 (x).\)

We have gof (x) = x

which implies\((gof)^-1 (x)\)

= gof (x)^-1

= x^-1

= 1/x,

x ≠ 0

Therefore,

\((gof)^-1 (x) = 1/x\)

which is option (3) (x+1) since 1/x can be written as 1/(x+1-1), where (x+1-1) is the denominator of 1/x.

Hence, the correct option is (3).

To know more about two functions visit:

https://brainly.com/question/19517220

#SPJ11

To find (g(f))^-1 (x), substitute the expression for f(x) into g(x) and simplify. The composition of g(f) is x and its inverse is also x. Therefore, (g(f))^-1 (x) equals x.

To find (g(f))^-1 (x), we need to first find the composition of g(f) and then find its inverse. Start by substituting the expression for f(x) into g(x): g(f(x)) = g(3x-6) = \frac{1}{3}(3x-6) + 1 = x - 1 + 1 = x. So, g(f(x)) = x. Now, to find the inverse of g(f), we switch the x and y variables and solve for y: y = x. Therefore, (g(f))^-1 (x) = x.

https://brainly.com/question/33783470

#SPJ12

Answer:A part of basic arithmetic, long division is a method of solving and finding the answer and remainder for division problems that involve numbers with at least two digits. Learning the basic steps of long division will allow you to divide numbers of any length, including both integers (positive,negative and zero) and decimals. This process is an easy one to learn, and the ability to do long division will help you sharpen and have more understanding of mathematics in ways that will be beneficial both in school and in other parts of your life.[1]

Step-by-step explanation:

A part of basic arithmetic, long division is a method of solving and finding the answer and remainder for division problems that involve numbers with at least two digits. Learning the basic steps of long division will allow you to divide numbers of any length, including both integers (positive,negative and zero) and decimals. This process is an easy one to learn, and the ability to do long division will help you sharpen and have more understanding of mathematics in ways that will be beneficial both in school and in other parts of your life.[1]

Answer:

Step-by-step explanation:

Given the expression  5 p + 6 = 7, to know the value of variable p. we need to make p the subject of the formula as shown;

Given  5 p + 6 = 7

Step 1: Subtract 6 from both sides

5p+6-6 = 7-6

5p = 7-6

Step 2: We will then divide both sides by the coefficient of p i.e 5 to have;

5p/5 = (7 - 6)/5

p =  (7 - 6)/5

Hence, the correct expression of variable p is p = (7 - 6)/5

Answer:Angle 4 and 1 are comp, angle 3 and 6 are comp

Step-by-step explanation:

Same degrees given that each sector is right angle

Answer:

Complementary angles are any two angles that add up to get 90°

hope this helps

The waterwheel takes 40 seconds to make one turn.

To find the period of the function, we need to find the time it takes for the function to repeat itself. In this case, we want to find the time it takes for the waterwheel to complete one turn.

The function h = 15 cos (π/20) t models the height of the cloth in relation to sea level as a function of time.

The cosine function has a period of 2π, so the period of the function h = 15 cos (π/20) t will be 2π divided by (π/20) which simplifies to 40 seconds.

Therefore, it takes 40 seconds for the waterwheel to complete one turn.

Learn more about Trigonometric functions here:

brainly.com/question/6904750

#SPJ1

Hicksian demand functions are:x1** = 2P₁x₂ ; x₂** = P₂²

Utility function: u(x1+x2) = .5ln(x1) + .25ln(x₂) .The Marshallian demand functions are: x1* = - and x₂* = P₂.

The indirect utility function is found by substituting Marshallian demand functions into the utility function and solving for v(P₁, P₂, Y).u(x1*,x2*) = v(P₁,P₂,Y) ⇒ u(-, P₂) = v(P₁,P₂,Y) ⇒ .5ln(-) + .25ln(P₂) = v(P₁,P₂,Y) ⇒ v(P₁,P₂,Y) = - ∞ (as ln(-) is not defined)

Thus the indirect utility function is undefined.

Minimum expenditure function can be derived from the Marshallian demand function and prices of goods:

Exp = P₁x1* + P₂x2* = P₁(-) + P₂P₂ = -P₁ + P₂²

Minimum expenditure function is thus:

Exp = P₁(-) + P₂²

Hicksian demand functions can be derived from the utility function and prices of goods:

H1(x1, P1, P2, U) = x1*H2(x2, P1, P2, U) = x2*

Hicksian demand functions are:

x1** = 2P₁x₂

x₂** = P₂²

If there are no restrictions on the amount of money the consumer can spend, the Hicksian demand functions for x1 and x2 coincide with Marshallian demand functions.

Learn more about utility function at:

https://brainly.com/question/32708195

#SPJ11

Answer: 30 fish

Step-by-step explanation:

A tank measuring 5 feet by 3 feet by 3 feet has a volume of 5*3*3 =45 cubic feet.

If there are 45 cubic feet of water in this tank, and each fish requires 1.5 cubic feet of water, the number of fish that can fit in the tank is 45/1.5 = 30.

Answer:

70 degrees.

Step-by-step explanation:

Add up all the values and divide by 5.

350/5 = 70.

Answer:

Nothing is here. You may need to reupload question.