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Answer:

7.5/3

Step-by-step explanation:

7x-7.5 = 4x

-7.5 = -3x

x= 7.5/3

A number is squared. This is added to fifteen and the product of eight and the number, to give zero. ​

the algebraic expression is

Let

x ----> the number

x^2+(15+8x)=0

therefore

x^2+8x+15=0

solve the quadratic equation

Solve by using calculator

x=-5 and x=-3

Answer:

A

Step-by-step explanation:  The lines are only intersecting with each other once

Answer:

A) 1 solution; consistent and independent

Step-by-step explanation:

on the graph the line only intersects once so there is only 1 solution and if 2 graphs have at least 1 solution it is considered consistent and if it has only one solution then it is independent.

Hopes this helps please mark brainliest

Since we have a direct variation, we can use the following equation:

where k is the constant of variation.

If we use the point (6,18), then, we have:

now that we have that the constant of variation is k = 3, we can use this information to find n:

therefore, n = -1

Answer:

The minimum unit cost is $12,197.

Explanation:

The cost function is given below:

To find the minimum unit cost, first, find the derivative of C(x).

Next, set the derivative equal to 0 and solve for x.

Finally, substitute x=260 into C(x) to find the minimum cost.

The minimum unit cost is $12,197.

Answer:

72 Remainder: 0

Step-by-step explanation:

3024 / 42 = 72

Remainder of 0!

Answer:

Step-by-step explanation:

72 Remainder 0

Answer:

Step A is incorrect.

[tex] {x}^{2} = x - 6[/tex]

[tex] {x}^{2} - x + 6 = 0[/tex]

Jon should have subtracted x from both sides and then added 6 to both sides.

Clear y from both equations to find the slope y intercept form of the equations

Now, find the equation for the line that is perpendicular to Eq. 1 and has the same y intercept as Eq. 2

Eq. 3 is the equation for the line

Answer:

around $9.0

Step-by-step explanation:

10% of 44 is 4.4 so if you multiply 4.4 by 2 that would be the same a 20% and 4.4 times 2 is $8.80 then I just rounded up to $9

ANSWER:

D. 44

STEP-BY-STEP EXPLANATION:

The percentage of a number is calculated by multiplying the percentage number in its decimal form by the number whose percentage is to be calculated.

A percentage number is converted to a decimal by dividing that number by 100, so it would finally look like this:

So the correct answer is D. 44

Answer:

Step-by-step explanation:

Given:

The current volume of the lake is 198,000 gallons.

Its volume grew by 3000 gallons every week

To find: An equation modeling the number of gallons in the lake after some weeks.

Explanation:

As we know,

If the growth or decay involves increasing or decreasing by a fixed number, then we must use a linear function.

Here, the increasing rate is 3000.

The current volume is 198,000 gallons.

Thus, the linear function that represents this situation is,

Where w represents the number of weeks and V represents the volume.

Final answer:

The equation is,

In Step 2 have a mistake in student solution so the option B is correct answer.

In the given question,

A student solved the inequality [tex]\frac{-x+4}{3} > \frac{x+1}{2}[/tex].

We have to find the error in the student solution.

To find the mistake we first solve the give inequality.

The equality is [tex]\frac{-x+4}{3} > \frac{x+1}{2}[/tex]

To solve this equality we firstly equal the denominator by multiplying and divide 2 on left side and 3 on right side.

So [tex]\frac{2}{2}\times\frac{-x+4}{3} > \frac{x+1}{2}\times\frac{3}{3}[/tex]

Now simplifying

[tex]\frac{2(-x+4)}{6} > \frac{3(x+1)}{6}[/tex]

Now simplifying the brackets of numerator ob both side using distributive property.

In Distributive Property: a(b+c)=ab+bc

[tex]\frac{2\times(-x)+2\times4}{6} > \frac{3\times x+3\times1}{6}[/tex]

[tex]\frac{-2x+8}{6} > \frac{3x+3}{6}[/tex]

Since the both side have same numerator. So we can write the inequality as

-2x+8 > 3x+3

Subtract 8 on both side

-2x+8-8 > 3x+3-8

-2x > 3x-5

Subtract 3x on both side

-2x-3x > 3x-5-3x

-5x > -5

Divide by -5 on both side

-5/-5 x > -5/-5

x > 1

Hence the value of x is greater than 1.

Now we see the step on student.

We can see that in step 2 has mistake. In step 2 student doesn't use distributive property to solve the bracket.

Hence, we can say that option 2 is correct.

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Question:

Solution:

The population growth is given by the following equation:

where P represents the number of individuals and t represents the number of years from the time of introduction. Now, if we have a population of 5656 fish, then the above equation becomes:

this is equivalent to:

this is equivalent to:

this is equivalent to:

now, the inverse function of the root function is the exponential function. So that, we can apply the exponential function to the previous equation:

this is equivalent to:

this is equivalent to:

now, we can apply the properties of the logarithms to the previous equation:

this is equivalent to:

we can conclude that the correct answer is:

9 years

The distance around the circle is called circumference.

What is circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. Every line that passes through the circle forms the line of reflection symmetry.

Also, it has rotational symmetry around the Centre for every angle.

The circumference of a circle is defined as the

distance around the circle. The word ‘perimeter’

is also sometimes used, although this usually

refers to the distance around polygons, figures made up of the straight line segment.

A circle circumference formula is given by

 C = πd = 2 π r

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The equation for the line of best fit is given by:

y = mx + b

In which m is the slope

They are given by:

Sum of x:

Sum of all values of x.

Sum of y:

Sum of squares of x:

Sum of xy:

Slope:

14 students, so n = 14.

Then

The line of best fit is y = 0.38x + 2.36. This means that for a parents that smokes x cigarettes a day, the child is expect to miss 0.38x + 2.36 days of school during the quarter.

Graphic

The amount of that interest-only payment is $21.53.

The term "interest" refers to the extra money an investor makes on top of their investment or the extra money a borrower owes on top of the money they've been loaned. Along with the loan itself, there is an additional sum or interest that must be paid.

Interests come in two types: simple interest and compound interest.

Given,

She has been awarded a $6,000 for 10-year federal loan at 4.29%.

First interest-only payment was done on May 5.

So, on June 5 second interest-only payment is done.

Interest she paid on May 5 is,

First Interest = [tex]\frac{6000*4.29}{12*100}[/tex]

                     = [tex]\frac{25740}{1200}[/tex]

                     = $21.45

Thus, the balance after the first interest = $6000 + $21.45

                                                                  = $6021.45

Interest she paid on June 5 is,

Second Interest = [tex]\frac{6021.45*4.29}{12*100}[/tex]

                           = [tex]\frac{25832.02}{1200}[/tex]

                           = $21.53

Thus, the amount of that interest-only payment is $21.53.

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The correct question is:

Britta has been accepted into a 2-year medical assistant program at a career school. She has been awarded a $6,000 unsubsidized 10-year federal loan at 4.29%. She knows she has the option of beginning repayment of the loan in 2.5 years. She also knows that during this nonpayment time, interest will accrue at 4.29%. Britta made her last monthly interest-only payment on May 5. Her next payment is due on June 5. What will be the amount of that interest-only payment?

The congruent statement for the triangle is ΔVXW ≅ ΔRPQ

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal .

In other words, two triangles are said to be congruent if pairs of their corresponding sides and their corresponding angles are equal.

Therefore, for the two triangles the to be congruent the corresponding sides are and the angles are equals also.

Hence,

∠V ≅ ∠R

∠W ≅ ∠Q

∠X ≅ ∠P

Therefore, ΔVXW ≅ ΔRPQ

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The resultant answer to the given inequality is x ≤ -5/12 and the graph of the answer is shown.

So, solve the inequality as:

Now, plot x ≤ -5/12 on the graph as follows:

Therefore, the resultant answer to the given inequality is x ≤ -5/12 and the graph of the answer is shown.

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6 cm, C. He did not square the length of the given leg

Explanation

to solve this we need to use the Pythagorean theorem

T.P states for all rigth triangles:

then

Step 1

let

a=2.3

b=b

c=6.4

replace

Step 2

What mistake might the student have made?

check

A)He added the two given values

B) He subtracted the two given values

C)He did not square the length of the given leg

D. He did not square the length of the hypotenuse​

so, the answer is C

I hope this helps you

From the information available, pear trees are planted and as more of them are planted then more barrels of pears will be produced.

This means the number of barrels will DEPEND on the number of trees planted, whereas the number of trees planted can be any amount and does not depend on the number of barrels.

ANSWER:

P is independednt and B is dependent

Where

p = number of pear trees that have been planted in the orchard

b = the number of barrels of pears the orchad will produce

The statement that explains why Charlotte's submission is correct is that (4³)³ simplifies to (4⁹) and (4⁹) simplifies to 2¹⁸

From the question, the expression is given as

(43)3

Rewrite the expression properly

So, we have the following representation

(4³)³

Apply the law of indices to rewrite the exponents in the expression properly

So, we have

(4³)³ = 4³*³

Next, we evaluate the products

So, we have the following notation

(4³)³ = 4⁹

Solving further, we need to express 4 as the square of 2

So, we have

(4³)³ = (2²)⁹

Apply the law of indices to rewrite the exponents in the expression properly

So, we have

(4³)³ = 2²*⁹

Next, we evaluate the products

So, we have the following notation

(4³)³ = 2¹⁸

Hence, Charlotte's expression is correct

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Possible question

Charlotte states that (4³)³ can be rewritten as 2¹⁸. Which of the following explains how she is correct? Select all that apply.

Start by putting the inequality in the form

in this case c wil be how much he has sold, and d will be how much he needs to sell, and a is the price for the bar.

it would look like this

solve it like a regular equation

He will have to sell over 54 bars to win the prize.

Let x be the number of teachers that go on the school trip

1 : 18 = x : 72

1/18 = x/72

cross-multiply

18x = 72

Divide both-side of the equation by 18

x = 4

Therefore, 4 teachers went on the school trip

If Yuvia also earns a base salary of $45 per day. The total amount she earned that day will be $245.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

It is given that, Yuva works in a computer store, where she earns a commission of 8 percent of her sales. On Monday, her sales were $2,500.

Commission = 8 % of sales

Commission =($2,500)(0. 08)

Commission =$ 200

If yuvia also earns a base salary of $45 per day,

Total salary = base pay + commission].

Total salary =45 +200

Total salary =$245

f Yuvia also earns a base salary of $45 per day. The total amount she earned that day will be $245.

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Concept

The parent function of absolute functions is y = |x|, and it passes through the origin.

So a parent absolute function is a function that have not been transformed.

So the absolute value parent function is f(x) = |x|

Final answer

f(x) = |x|

The equation can be used for "the total cost of buying x chocolate bars, such that each one costs $3.50"

Here we have the linear equation:

y = 3.5*x

And we want to make a word problem that can be represented by this.

The simplest example would be something like "the total cost of buying x items of a cost equal to the constant of proportionality"

So let's suppose that there is a chocolate bar in a given store that costs $3.50 per unit.

So, if you buy x of these, the total cost will be modeled (in dollars) by the equation:

y = 3.50*x

Which is the same equation that we have above:

y = 3.5*x

Where the second 0 on the constant factor is trivial and can not be written.

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