units
5. Jerry is building a fence around a
rectangular garden. The length of the
fence is 7 feet and the width is 5 feet. How many square feet does he have inside for planting?

Answer:

0.625

Step-by-step explanation:

To find the approximate unit rate of paper, we can divide the total cost by the number of packs:

$15 / 24 packs = $0.625 per pack

Therefore, the approximate unit rate is $0.625 per pack.

Answer:

w < 1.5

Step-by-step explanation:

We solve these almost identical to solving equations. By going backwards in the process.

14 - 12.5 = 1.5

w < 1.5

Hope this helps!

6x²+11x+4

6x² + 8x + 3x + 4

2x(3x+4) + 1( 3x + 4 )

Answer:

\((3x + 4)(2x + 1)\)

Step-by-step explanation:

We can factor the expression

\(6x^2+11x+4\)

using the grouping method.

First, multiply the coefficient on the x² term by the constant term.

6 × 4 = 24

Then, list out the factor pairs of the product.

24  

1, 24

2, 12

3, 8

4, 6

If one of the pair's numbers add to the coefficient of the x term in the polynomial, then we can substitute in that pair of numbers for the x's in the expression.

In this case, the 3 and 8 pair add to 11, the x term's coefficient.

\(6x^2+11x+4\)

\(6x^2 + 3x + 8x + 4\)

Next, we can factor a term out of the first and last two terms of the polynomial.

\((6x^2 + 3x) + (8x + 4)\)

\(3x(2x + 1) + 4(2x + 1)\)

Finally, we can apply the distributive property to the expression to rewrite it in factored form.

\((3x + 4)(2x + 1)\)

Answer:

1188 grams of water

Step-by-step explanation:

x is the grams of water

so total is 12+x grams

sugar/total is 12/12+x

and 1% ratio is 12/12+x=1/100

so x would be 1188 grams of water.

Answer:

1188

Step-by-step explanation:

Start with the part and whole proportion

\(\frac{12}{?} =\frac{1}{100}\)

multiply the one by 12 and 100 by 12

\(\frac{12}{1200} =\frac{1}{100}\)

now subtract 12 from 1200

then you get 1188.

I hope this helps :))

Answer:

7606.62

Step-by-step explanation:

Start by finding how much you will have through the annuity. The question isn't that clear, so i will just assume it's an annuity due.

\(p(\frac{(1+i)^n-1}{i})*(1+i)\\i=.035/12= .0029166667\\n=10*12=120\\p=75 (given)\\75\frac{(1+.0029166667)^{120}-1}{.0029166667}*(1+.0029166667)= 10788.814149\\\)

Now just equate this to a time 0 payment at the same rate

\(10788.814149=(1+.0029166667)^{120}*x\\x= 7606.6228603=7606.62\)

As a quick note, if you were supposed to assume that your annuity was an annuity immediate the answer would be 7584.50.

Ans

8 option b.

Step-by-step explanation:

3+4/2+3

=3+2+3

=5+3

=8

Answer and Step-by-step explanation:

Solution:

(a) 8 + 3

Convert into BCD:

8 = 1000

3 = 0011

Add them:

8 + 3 = 11

1000 + 0011 = 1011

Answer is correct.

(b) 43 + 72

Convert into BCD:

43 = 0100 0011

72 = 0111 0010

Add them:

43 + 72 = 115

0100 0011 + 0111 0010 = 0001 0001 0101

(c) 12 + 16

Convert into BCD:

12 = 0001 0010

16 =0001 0110

Add them:

12 + 16 = 28

0001 0010 + 0001 0110 = 0010 1000

00101000 = 00101000

Hence Answer is correct.

(d) 47 + 38

Convert into BCD:

47 = 0100 0111

38 =0011 1000

Add them:

47 + 38 = 85

0100 0111 + 0011 1000= 1000 0101

(e) 36 + 22

Convert into BCD:

36=0011 0110

22=0010 0010

Add them:

36 + 22 = 85

0011 0110 + 0010 0010 = 1000 0101

(f) 80 + 23 + 72

Convert into BCD:

80 =1000 0000

23 = 0010 0011

72 = 0111 0010

Add them:

80 + 23 + 72 =175

1000 0000 +0010 0011+ 0111 0010 = 0001 0111 0101

(g) 12 + 89

Convert them into BCD:

12 = 0001 0010

89 = 1000 1001

Add them:

12 + 89 = 101

0001 0010 + 1000 1001 = 0001 0000 0001

(h) 99

Convert into BCD:

99 = 1001 1001

Step-by-step explanation:

The total price of sneakers including tax will be equal to $20.75.

The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.

As per the given information in the question,

Price of sneakers = $20

Tax on sneakers = 3.75%

Then, the amount of tax will be,

(20 × 3.75)/100

= 75/100

= $0.75

Then, the total price of the sneakers will be,

$20 + $0.75

= $20.75

To know more about Percentage:

https://brainly.com/question/29306119

#SPJ2

We are given the function g(x) = - 10 x^4 - 90

And we are asked to find which statement is not true.

First statement reads:

Its graph has a y-intercept at (0,-90)

This statement is correct, since when we set x = 0 in the function, we get:

g(0) = - 10 *0^4 - 90 = 0 - 90 = -90

Second statement reads:

The function has at least ONE real root.

This statement is NOT true, since there is no value of x for which the function is zero (that meaning the function doesn't cross the x axis.

We can verify such requesting that g(x) = 0 = - 10 x^4 - 90

adding 10 x^4 to both sides:

10 x^4 = - 90

dividing both sides by 10 to isolate x^4

x^4 = - 90 / 10

x^4 = - 9

we realize at this point that there is no x for which the function is equal to zero (so there is no root) since we cannot find any value of x that raised to an EVEN power can give a negative number.

This second statement is therefore NOT TRUE, and the statement we need to mark.

The other two statements are true:

Third statement that reads

as x approaches negative infinity, g(x) approaches negative infinity.

We can check that being true using very negative values of x as for example -100. when we use such, the function becomes:

g(-100) = - 10 (-100)^4 - 90 = - 1000000000 - 90 which as we see is a very negative number ( the functionreally approaches negative infinity for very negative x values)

Similarly, the fourth statement is also true, since when we use large values for x (for example 100) we again get a veru negative value that indicates that the function is approaching negative infinity as well.

g(100) = - 10 (100)^4 - 90 = - 1000000000 - 90

The range of the possible length of the third side is between 10 and 22

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

Lengths = 6 and 16

The possible length of the third side can be calculated using the triangle inequality theorem

For this triangle, the length of the third side must be greater than

16 - 6 = 10

Also, the length of the third side must be less than

16 + 6 = 22

Hence, the possible length of the third sides is between 10 and 22

Read more about triangles at:

brainly.com/question/1058720

#SPJ1

Answer:

9 cm

Step-by-step explanation:

ST = 3/4 × 12 = 9 cm

_____

Answer:

9 cm

Step-by-step explanation:

set up a proportion SR/NM=ST/NP, since you know all but one of the lines, sub them into the equation, 15/5=ST/3. solve the side you know to get 3=ST/3, multiply both side by 3 to eliminate the fraction and get the answer, 9=ST.

if you have any questions, leave them in the comments and i will try to answer them, if this helped, pls give brainliest

The function that is parallel to the graph of y = -4x + 4 is y = -4x - 9

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

y=-4x+4

To start with, we need to express the equation properly

So, we have the following representation

y = -4x + 4

Also, from the question;

We have the following points

The point is given as

Point = (-1, -5) i.e.  (x, y) = (-1, -5)

The equation of a line can be represented as

y = mx + c

Where

Slope = m

By comparing the equations, we have the following

m = -4

This means that the slope is -4

The slopes of parallel lines have the same values

This means that the slope of the other line is -4

The equation of the line is then calculated as

y = m(x - x₁) + y₁

Where

m = -4

(x₁, y₁) = (-1, -5)

So, we have

y = -4(x + 1) - 5

Open the brackets

y = -4x - 4 - 5

Evaluate the like terms

y = -4x - 9

Hence, the line has an equation of y = -4x - 9

Read more about linear equations at

brainly.com/question/4074386

#SPJ1

Step-by-step explanation:

function of the organelle in question 4.

Using the diagram and your knowledge of biology, identify the following:

a. Organelle A_____

b. Substance A_____

c. Substance B_____

RT 2: Regents Review!

ections: Recall what you learned in unit 1 about designing an experiment to answer the ientist is interested in the effect that the amount of glucose given to a mitochondria n unt of carbon dioxide that is produced.

scientist sets up three containers: Container 1 holds 20 mitochondria and a 0.5 %cor ainer 2 holds 20 mitochondria and a 1.0 % concentration of glucose; and Container 3 hondria and a 5.0 % concentration of glucose. 0.5 % concentration of glucose

function of the organelle in question 4.

Using the diagram and your knowledge of biology, identify the following:

a. Organelle A_____

b. Substance A_____

c. Substance B_____

RT 2: Regents Review!

ections: Recall what you learned in unit 1 about designing an experiment to answer the ientist is interested in the effect that the amount of glucose given to a mitochondria n unt of carbon dioxide that is produced.

scientist sets up three containers: Container 1 holds 20 mitochondria and a 0.5 %cor ainer 2 holds 20 mitochondria and a 1.0 % concentration of glucose; and Container 3 hondria and a 5.0 % concentration of glucose. 0.5 % concentration of glucose

∫ (3x^2 + 6x - 4) dx

like last time, but more

x^3 + 3x^2 - 4x + c

use the power rule, so for instance

∫ 3x^2

increase the exponent by 1

3x^3

now divide by the exponent

3x^3 / 3

simplify

x^3

∫ 6x

increase the exponent by 1, 1 + 1 = 2

6x^2

and divide by the exponent

6x^2 / 2

3x^2

Answer:

Undefined

Step-by-step explanation:

Use rise/run, (y2 - y1) / (x2 - x1)

Plug in the values:

(7 + 4) / ( 2 - 2)

11/0

= undefined, since you cannot divide by zero

The slope is undefined

The value of the radical √48 is 4√3.

Radical is a symbol (√) that denotes square roots and nth roots. The number inside the symbol is called Radicand and the expression containing the radical or a square root is called a Radical expression.

Here, we are given the radical √48

To find the value of the radical, we will factorize 48

i.e., 48 = 2×2×2×2×3

           = 16×3

Now, the square root of 48, that is, √48

                                                       = \(\sqrt{16\cdot3}\) =\(\sqrt{16} \cdot \sqrt{3}\)

We know 16 is a perfect square of 4, that is, the square root of 16= 4

⇒√16=4

Using this, we have √48= 4√3

The correct answer is 4√3.

Learn more about radicals here:

https://brainly.com/question/12739054

#SPJ1

Answer:

Step-by-step explanation:

Parralel means the slope is the same

3x-2y=3

-2y=-3x=3

/-2

y=3/2x-3/2

Same slope, so the first part of the equation is y=3/2x ___

Now plug in 6, 3/2* 6= 9

So -5=9 ___

-14

y=3/2x-14

Answer:

3.52

Step-by-step explanation:

Calculation to Find the mean for the random variable X

Using this formula

Mean(μ) =(n*p)

Where,

n=16

p=22% or 0.22

Let plug in the formula

Mean(μ)=16×0.22

Mean(μ)=3.52

Therefore the mean for the random variable X will be 3.52

Answer:

s = 40 shares (# of 7.25 shares)

x = 22 shares (# of 6.50 shares)

Step-by-step explanation:

Quantity Equation:: x + s = 62 shares

Value Equation::: 6.50x+7.25s = 433 dollars

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

Modify for elimination:

6.5x + 6.5s = 6.5*62

6.5x + 7.25s= 433

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

Subtract and solve for "s":

0.75s = 30

-----

s = 40 shares (# of 7.25 shares)

x = 22 shares (# of 6.50 shares)

Hope this helps

let x feet be the highest of the boxes , and y be the number of boxes.

the answer is coming as 15 feet for 20 boxes and 12 boxes to reach the ceiling of 9 feet high

Answer:

A,C,E

Step-by-step explanation:

All three use double negative signs which cancel out into a plus sign. Moving the parentheses doesn’t change the value in these problems.

On solving the provided question we go to know that - Graph with points- (2,1) (0,3) (4,3) (x,y).

In mathematics, a function is an expression, rule, or law that establishes the connection between two variables (the dependent variable).

a unique connection where every input only has one output. Where x is the input value, it is frequently expressed as yields a single output \("x/2,"\)indicating that it is a function:\(* f(2) = 1.\)

To know more function visit:
https://brainly.com/question/28278699

#SPJ4

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

For more such questions on square

https://brainly.com/question/27307830

#SPJ8

Answer:

-12

Step-by-step explanation:

y=-3

4y means 4(y)=4(-3)

so 4×-3 =-12

Answer:

250 - 6 - 3n

Step-by-step explanation:

Let n equal the number of students.

True: Solving a system of equations using the graphing, substitution, or elimination method will find the exact same solution.

False: Elimination can never be used to solve a nonlinear system of equations (a system where one equation is not linear).

A system of equations can be defined an algebraic equation that only has two (2) variables and can be solved simultaneously.

In Mathematics, there are three (3) main methods that are commonly used for solving a system of equations simultaneously and these include the following:

Generally speaking, the same solution would be obtained when any of the three (3) methods for solving a system of equations are used. However, it is completely false to state that the elimination method cannot be used to solve a nonlinear system of equations.

Read more on equations here: https://brainly.com/question/13729904

#SPJ1

Answer:

Undefined

Step-by-step explanation:

Answer:

30 squared meters

120/4=30.