Kira has 8 juice boxes. She wants to give an equal number of juice boxes to her 4 friends. Choose a multiplication equation and a division equation that Kira can use to find the number of juice boxes she should give to each friend. Use ? for the unknown value. Choose all that apply

Answer:

1.66666667

Step-by-step explanation:

plz mark brainlest

Answer:

1.67

Step-by-step explanation:

Step 1: Multiply the whole number by the denominator:

1 × 3 = 3

Step 2: Add the product you got in Step 1 to the numerator:

3 + 2 = 5

Step 3: Divide the sum from Step 2 by the denominator:

5 ÷ 3 = 1.666667

Answer:

C

Step-by-step explanation:

6x° and 60° form a right angle and sum to 90° , that is

6x + 60 = 90 ( subtract 60 from both sides )

6x = 30 ( divide both sides by 6 )

x = 5

Rounded to the nearest cent, each member should still raise approximately $39.96 on average to meet the goal.

To determine how much each member should still raise on average to meet the goal, we need to find the remaining amount that needs to be raised and divide it by the number of team members.

The total amount needed to meet the goal is $1460.00, and they have already raised $461.00. Therefore, the remaining amount to be raised is:

Remaining amount = Total amount needed - Amount already raised

Remaining amount = $1460.00 - $461.00

Remaining amount = $999.00

Now, to find out how much each member should raise on average, we divide the remaining amount by the number of team members:

Average amount per member = Remaining amount / Number of team members

Average amount per member = $999.00 / 25

Average amount per member = $39.96

Note: In practice, some members may raise more or less than the average amount, depending on their individual fundraising efforts and capabilities. The average amount per member serves as a guideline for the overall target, but individual contributions may vary.

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Answer:  A

Step-by-step explanation:

When multiplying: Numbers multiply with numbers and for the x's, add the exponents

If there is no exponent, you can assume an imaginary 1 is the exponent

2x⁴ (3x³ − x² + 4x)

= 6x⁷ -2x⁶ + 8x⁵

Answer:

A. \(6x^{7} - 2x^{6} + 8x^{5}\)

Label the parts of the expression:

Outside the parentheses = \(2x^{4}\)

Inside parentheses = \(3x^{3} -x^{2} + 4x\)

You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses

\(2x^{4}\) × \(3x^{3}\)

\(2x^{4}\) × \(-x^{2}\)

\(2x^{4}\) × \(4x\)

First, multiply the whole numbers of each value before the variables

2 x 3 = 6

2 x -1 = -2

2 x 4 = 8

Now you have:

6\(x^{4}x^{3}\)

-2\(x^{4}x^{2}\)

8\(x^{4} x\)

When you multiply exponents together, you multiply the bases as normal and add the exponents together

\(6x^{4+3}\) = \(6x^{7}\)

\(-2x^{4+2}\) = \(-2x^{6}\)

\(8x^{4+1}\) = \(8x^{5}\)

Put the numbers given above into an expression:

\(6x^{7} -2x^{6} +8x^{5}\)

distribution

variable

like exponents

Answer:

it does not say anthing it says its restikted

Step-by-step explanation:

Answer:

A: x = -4

Step-by-step explanation:

Remove Parentheses:

8x - 3 = 10x + 5

Move terms

8x - 10x - 3 = 5

8x - 10x = 5 + 3

Collect Like Terms

-2x = 5 + 3

-2x = 8

Divide

-2x = 8

x = -4

Answer

x = - 4

Hope this helped

Brainliest is appreciated.

we have only one outcome that is neither positive nor negative, then the statement is false.

What is square root?

A value known as the square root of a number is one that, when multiplied by itself, yields the original number. An alternative to square rooting a number is to use it. Therefore, the concepts of squares and square roots are connected. The original number is equal to the square root of any integer, which is equivalent to a number.

Let's assume that m is an integer that is positive, such that (m.m) = (m2) = m.

This seems to be true because:

-2*-2 = 2*2 = 4

So √4 = 2 and -2

But particularly the square root of zero is:

√0 = 0

So here we have only one outcome that is neither positive nor negative, then the statement is false.

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Answer:

#1

Use Pythagorean:

Apply to given and find c:

#2

#3

We have:

We know that:

Find b:

So

#4

Given

We know that:

Find b:

So

#5

Given

We know:

From the cot we have:

Hypotenuse is:

So,

Answer:

x = 9

Step-by-step explanation:

Complementary angles equal to 90 degrees.

So add both equations to equal 90 and solve for x.

(2x+5) + (8x-5) = 90  

Combine like terms.

10x = 90

Divide each side by 10.

x = 9

Given Data:

The time taken to compleat one yard is: 1 hour.

The expression to calculate the total yard made in 1/4 hour is,

Answer:

C) √185cm

Step-by-step explanation:

a² + b² = c², where c is the longest side

4² + 13² = x²

16 + 169 = 185

x² = 185

x = √185cm

Hope this helps!

Answer:

The same number of students from each grade whose names are randomly selected from a hat

Answer:

B.   3,158

Step-by-step explanation:

h(x) = -49x − 125

Let x = -67

h(-67) = -49(-67) − 125

          =3283-125

          = 3158

Answer:

Answer B

Step-by-step explanation:

To find the value of h(-67) for the function h(x) = -49x - 125,

we substitute -67 for x in the function and evaluate it.

h ( - 67 ) = - 49 ( - 67 ) - 125

Now we can simplify the expression:

h ( -67 ) = 3283 - 125

h ( -67 ) = 3158

Answer:

April took out a loan of $600 and paid it back with simple interest of $60 after 5 years. The formula to calculate interest is  given the principal  and the time   and the interest rate  is . For this problem we have to find the interest rate   given  . To archive that , we can just solve the equation making the interest rate the subject of the formula as shown below,

The interest rate is  or 0.02 as a decimal. The interest rate is 2% as a percentage.

Step-by-step explanation:

Answer:

2%

Step-by-step explanation:

The design specifications for a reverse-air baghouse to remove fly ash from a power plant exhaust gas stream are requested. The answers to the specific requirements are as follows:

a. The type of fabric: The selection of fabric for the baghouse will depend on various factors such as temperature, gas composition, and particulate characteristics. Considering the presence of SO2 gas and the high temperature of the airstream, a suitable fabric choice could be PTFE (Polytetrafluoroethylene) or P84 (Polyimide) due to their resistance to corrosion and high-temperature properties.

b. Filtering velocity, ft/min: The filtering velocity is the airflow rate passing through the cloth area per unit area. It is typically recommended to keep the filtering velocity within a range of 2-6 ft/min for baghouse applications. Considering the given airflow rate of 300,000 acfm, the filtering velocity can be calculated by dividing the airflow rate by the cloth area.

c. Cloth area: The cloth area required can be determined by dividing the airflow rate (300,000 acfm) by the filtering velocity (ft/min). The units should be converted appropriately to ensure consistency.

d. Number of bags: The number of bags needed depends on the desired bag spacing, bag length, and cloth area. It is typically determined based on practical considerations such as maintaining appropriate airflow distribution and minimizing pressure drop.

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Answer:

Answer:

approximately 0.25193

Step-by-step explanation:

Ok so, there is something known as the change of base formula, which is used to change any logarithm, into another valid base. This can be expressed as: \(log_ba=\frac{log_na}{log_nb}\) where n=a valid base.

This is particularly useful when evaluating logarithms using a calculator, when that calculator does not allow you to set the base, but rather it only has base 10, and base e/natural log

So, generally when that's the case, we rewrite the logarithm as: \(log_ba=\frac{log(a)}{log(b)}\)

Using the change of base formula, we get the equation: \(\frac{log(1.5)}{log(5)}\) using a calculator to evaluate the numerator and denominator, this is approximately: \(\frac{0.17609}{0.69897}\), now using a calculator to further evaluate this fraction, we approximately get: \(0.25193\)

If you want a proof for this equation, you can read the stuff below:

Ok, you need to know the logarithmic identities, and in particular the logarithm of a power rule, which essentially states: \(log_ba^c=c\ log_ba\) which goes both ways, so you can combine them or separate them.

The reason this works, is because of the power of a power exponential rule which essentially states: \((x^a)^b=x^{a*b}\)

So let's just start with a basic logarithm: \(let\ x=log_ba\implies b^x=a\)

Since the two sides are equal, if we raise both sides to an exponent, they should remain equal. I'll represent this exponent as the variable "c"

\((b^x)^c=a^c\)

Using the power of a power exponent rule, we can rewrite this as:

\(b^{x*c}=a^c\)

Now if we convert it back to logarithmic form, we get:

\(log_ba^c=x*c\)

And remember what the "x" variable represented? It's the logarithm! So let's substitute that back in

\(log_ba^c=c*log_ba\)

All of the logarithmic identities are deeply rooted in the exponent identities, since the logarithm literally represents the exponent, so these two are intertwined.

Ok so now getting that out of the way, let's start with another basic logarithm:

\(log_ba\)

Now let's multiply it by \(\frac{log_nb}{log_nb}\) where n=a valid base. Since the numerator and denominator are the same, we're just multiplying by 1, so we're not actually change the value, just how it's represented

\(\frac{log_ba}{1}*\frac{log_nb}{log_nb}=\frac{log_ba\ *\ log_nb}{log_nb}\)

Now remember the logarithmic identity we just proved? We can move the logarithmic to the "b" as an exponent, since the identity goes two ways, so we get the following expression:

\(\frac{log_nb^{log_ba}}{log_nb}\)

Now if you stop to think for a moment, you'll realize that \(log_ba\) really just represents the exponent, that "b" needs to be raised to, to get the value "a". In this new form, we're raising the "b" to \(log_ba\), so we can simplify the: \(b^{log_ba}=a\) . This gives us the following fraction:

\(log_ba=\frac{log_na}{log_nb}\)

This formula works for any valid base.

The derivative of of f(x) = 10 is 0

The derivative of a function is the measure of the rate of change of the function. They are fundamental to the solution of problems in calculus and differential equations.

Here the function is not changing as 10 is a constant. So, if f(x) = c where c is a constant then f'(x) = 0 as the derivative of a constant is always zero.

Mathematically:

           d(f(x))/dx = \(\lim_{h \to 0}\) (f(x+h) - f(x))/h

There  is no x to substitute for x + h so no difference is noticed:

             \(\lim_{h \to 0}\) (f(x+h) - f(x))/h =   \(\lim_{h \to 0}\) (10 - 10)/h = 0

Hence, the derivative of f(x) = 10 is 0

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Answer:

bl

Step-by-step explanation:

A Greater than 8 because you are multiplying by a number Greater than 1.

The expression 8 × 2 13 can be simplified using the order of operations (PEMDAS/BODMAS) which states that we should perform the multiplication before the exponentiation. Let's simplify the expression:

8 × 2 13 = 8 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

Now, we can calculate the value of the expression:

8 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 8 × 8192 = 65536

So, the expression 8 × 2 13 simplifies to 65536.

Comparing this value to 8, we can see that 65536 is much greater than 8. Therefore, the correct response is:

A Greater than 8 because you are multiplying by a number greater than 1.

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The number of seconds where the football hit the ground is 2 seconds

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

The graph

The number of seconds where the football hit the ground is when the graph intersects with the x-axis at the second time

In this case, the point is (2, 0)

Also, the seconds is represented by x

So, we have

x = 2

Hence, the seconds the football hits the ground is 2

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The question is incomplete. Here is the complete question.

A family needs to build a fence around their rectangular home and square pool, depicted below. A rectangle labeled home has its right side (2 + 5x) yards and its bottom side labeled (3 + 10x)yards. The square, labeled pool, is smaller than the rectangle. One of its side is labeled (2x)yards. The total amount of fencing they need can be written as x + 10. If x = 5:

The family needs _____ yards of fencing for their home.

The family needs _____ yards of fencing for their pool.

Answer: 160 yards

               40 yards

Step-by-step explanation: Perimeter is the sum of every side of a polygon.

Rectangle and Square are quadrilateral, i.e., have 4 sides each, but in a rectangle, the 2 parallel sides are equal, while in a square, 4 sides are equal.

To determine the amount of yards to fence a rectangle home:

P = 2l + 2w

where

l is length (in this case, bottom side)

w is width (right side)

P is perimeter

P = 2(2 + 5x) + 2(3 + 10x)

P = 4 + 10x + 6 + 20x

P = 10 + 30x

As x = 5:

P = 10 + 30(5)

P = 160

The family will need 160 yards of fencing for their home.

For the square pool:

P = 4s

with s representing a side of the square

P = 4(2x)

P = 8x

As x = 5:

P = 8(5)

P = 40

The family needs 40 yards of fencing for their pool.

Answer:

38, 160, 40

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Hope this helps!

Lmk if you have any questions!

Have a great day! :)

Answer:

1

Step-by-step explanation:

the y intercept is where the line crosses the y = 0 mark and it crosses it at (1,0) so 1 would be your answer

The meaning of the symbol |415| is absolute value and the value of |415| is equal to 415.

Symbols | |  represent the absolute value function in mathematics.

The absolute value function returns the distance between a number and zero on the number line.

Absolute value of a number is always positive or zero.

Compute the absolute value of 415 using the absolute value function,

Replace the number within the bars with the given value as no sign is given,

415 > 0

⇒ Absolute value of |415| = 415

Since 415 is already a positive number

This implies absolute value is itself.

Therefore, the symbol | | represents absolute value of 415 and is equal to 415.

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The standard matrix of the linear transformation t is:

⎡ 1  0  0 ⎤

⎢ 0  1  0 ⎥

⎣ 0  0  1 ⎦

To find the standard matrix of the linear transformation t, we need to determine how the transformation t acts on the standard basis vectors.

The standard basis vectors in ℝ³ are:

e₁ = (1, 0, 0)

e₂ = (0, 1, 0)

e₃ = (0, 0, 1)

We apply the transformation t to each of these vectors:

t(e₁) = t(1, 0, 0) = (t₁₁, t₂₁, t₃₁)

t(e₂) = t(0, 1, 0) = (t₁₂, t₂₂, t₃₂)

t(e₃) = t(0, 0, 1) = (t₁₃, t₂₃, t₃₃)

Therefore, the standard matrix of the transformation t is:

⎡ t₁₁  t₁₂  t₁₃ ⎤

⎢ t₂₁  t₂₂  t₂₃ ⎥

⎣ t₃₁  t₃₂  t₃₃ ⎦

From the information given, we know that the columns of the standard matrix correspond to the images of the standard basis vectors under the transformation t. Using the columns provided in the question:

Column 1: (t₁₁, t₂₁, t₃₁) = (1, 0, 0) = e₁

Column 2: (t₁₂, t₂₂, t₃₂) = (0, 1, 0) = e₂

Column 3: (t₁₃, t₂₃, t₃₃) = (0, 0, 1) = e₃

Therefore, the standard matrix of the linear transformation t is:

⎡ 1  0  0 ⎤

⎢ 0  1  0 ⎥

⎣ 0  0  1 ⎦

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The polynomial expression which represents the value of the account at the end of three years is 1000x³ + 300x² + 500x

Interest earned per year, x = 1 + r

First year :

Year end balance = 1000 × x = 1000x

Second year :

Year end balance = (1000x + 300)x = 1000x² + 300x

Third year :

Year end balance = (1000x² + 300x + 500)x = 1000x³ + 300x² + 500x

Therefore, the expression which represents the value of the account at the end of three years is 1000x³ + 300x² + 500

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Answer:

B

Step-by-step explanation:

So we have the system of equations:

\(x-2y=3\\2x-3y=9\)

To solve, we can use the substitution method. First, add 2y to both sides in the first equation:

\(x=3+2y\)

Now, substitute this into the secon equation:

\(2(3+2y)-3y=9\)

Distribute the 2:

\(6+4y-3y=9\)

Combine like terms:

\(6+y=9\)

Subtract 6 from both sides:

\(y=3\)

So, the value of y is 3.

Substitute this back into the original equation to find x. Thus:

\(x=3+2(3)\)

Multiply:

\(x=3+6\)

Add:

\(x=9\)

So, our answer is (9,3)

And we're done!

hana is 4 year older than her brother. 2 years ago, her brother’s age was ¾ of her age then brother age will be 19 years

The concept of age describes how old a person is at a particular point in time. It is defined as the measure of the time elapsed from date of live birth to a specific point in time, usually the date of collection of the data

Hana is 4 years older then her brother

let x be brother present age

and x+4 be the hana present age

2 year ago

hana was x+2

and brother was x-2

according to the question

x-2= 3/4 * ( x+2)

x= 14

after 5 years he will be 19 years

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Answer:

195

Step-by-step explanation:

13 x 15 = 195

Answer:

195 cookies

Step-by-step explanation:

13 houses times 15 cookies is 195 divided by 15 is 13

In linear equation, 256.28 is the cost of her ticket .

What is the most effective way to explain linear equations?

An x-y linear relationship, or two variables in which the value of one of them (often y) relies on the value of the other one, is what is known as a linear equation in two variables (usually x).

                          In this scenario, y is referred to as the dependent variable because it depends on the independent variable, x. A linear equation is an algebraic equation of the form y=mx+b.

=  149 * .72

= 107.28

= 149 + 107.28

= 256.28

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