Solve for z: 5z + x – y = 3x + 4

Answer:

The unit prices will be within the range of $0.77 ≤x≤$0.78

Step-by-step explanation:

If a package 8-count AA batteries cost $6.16 and a package of same 20-count AA batteries cost $15.60, to calculate the unit price, the following steps must be carried out:

8 counts AA batteries = $6.16

A unit price (i.e 1 count) = x

Cross multiplying

8 × x = 6.16 × 1

x = 6.16/8

x = $0.77 for a unit price

Similarly, if 20-count AA batteries cost $15.60, then:

20 counta = $15.60

1 count = x

Cross multiplying

20 × x = $15.60 × 1

x = $15.60/20

x = $0.78 for a unit price

From above calculation, of can be seen that the unit price is almost similar but with a difference of $0.01 ($0.78-$0.77) which is insignificant. Based on this, we can conclude that a unit price of the battery is between the range

$0.77 ≤x≤$0.78

Answer:

The 8-count pack of AA batteries has a lower unit price of 0.77

per battery.

Step-by-step explanation:

Answer:

(-4,2)

Step-by-step explanation:

when rotated about 180 degrees, you change both signs

Answer:

The pyramid's height h = 12 ft

Step-by-step explanation:

Notice that the slant height of the pyramid forms a right angle triangle with the segment that joins the bottom end of the slant height with the center of the pyramid's base, and with the pyramid height (h).

The segment joining the slant height with the center of the pyramid's base is one half of the side of the base in length, so that it; 16 feet.

then we have a right angle triangle with hypotenuse given by the pyramid's slant height (20 ft), a leg given by 16 ft, and we need to find the length of the second leg (pyramid's height (h).so we use the Pythagorean theorem:

[tex]hyp^2=leg_1^2+leg_2^2\\(20\,ft)^2= (16\,ft)^2+h^2\\h^2=400\,ft^2-256\,ft^2\\h^2=144\,ft^2\\h=12 \,ft[/tex]

Answer:

C.12ft

Step-by-step explanation:

for people on edmentum

Answer:

the correct answer would be 2r+2

Step-by-step explanation:

8r-6r=2r

7-5=2

Answer:

2r + 2

Step-by-step explanation:

8r+7−6r−5

Terms with r are like terms and can be combined together.

Terms with no variable are like terms and can be combined together.

Terms with r and terms with no r are not like terms and cannot be combined together.

8r + 7 - 6r - 5 =

= 8r - 6r + 7 - 5

= 2r + 2

Answer:

the total amount is £ 756.

hope it helps..

Answer:

He fails to sell that day 10 cottons.

Step-by-step explanation:

We are given that a cotton candy merchant earns 40 cents for each cotton sold, but if he cannot sell it he loses 50 cents.

One day when he made 120 cottons, he made a profit of 39 soles.

Let the number of cottons merchant is able to sold be 'x' and the number of cottons merchant is not able to sold be 'y'.

So, according to the question;

                                   x + y = 120

                                   x = 120 - y    ---------------------- [Equation 1]

                               [tex]0.40x - 0.50y=39[/tex]

                               [tex]40x - 50y=3900[/tex]

                               [tex]40(120-y) - 50y=3900[/tex]  

                               [tex]4800-40y - 50y=3900[/tex]

                               [tex]90y=4800-3900[/tex]

                                [tex]90 y = 900[/tex]

                                  [tex]y=\frac{900}{90}=10[/tex]

This means that the merchant is not able to sell 10 cottons.

Answer:

150 cal

Step-by-step explanation:

5x30=150

Answer:

150 calories.

Step-by-step explanation:

Assuming there is the same amount of chocolate as well as cookie dough throughout the whole cookie.

You know that 1/5 of a chocolate chip cookie has 30 calories.

Find one cookie, by multiply 5 to both numbers. Set the equation:

1/5x = 30

Isolate the variable. Multiply 5 to both sides:

(1/5x) * 5 = (30) * 5

x = 30 * 5

x = 150

150 calories is your answer.

Answer: They all are congruent because there are no triangles

Step-by-step explanation:

Answer: the answer is 1 and 3

Step-by-step explanation:1 and 3

Answer:

x=21

Step-by-step explanation:

1. 2x-2/5*5=8*5 Multiply the 5 on both sides to cancel out the denominator.

2. 2x-2+2=40+2 Add 2 on both sides to isolate the term with the variable.

3. 2x/2=42/2 Divide both sides by 2 in order to isolate the variable itself. Yay, you got the answer, 21!

Heyy I hope you have a great day, this took forever to type so it would be very appreciated if you marked this answer as brainliest... UwU

Answer:

the first one

Step-by-step explanation:

the others don't make any sense and also the first one's the only one that's in inequality form.

The inequality that represents the ages is 12 ≤ a ≤ 18.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

The inequality graphed below is shown.

The number line includes the numbers 12 and 18.

So,

The ages of the baseball team are 12 to 18.

This can be written as,

12 ≤ a ≤ 18

Thus,

The inequality that represents the ages is 12 ≤ a ≤ 18.

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ7

Answer:

0.67, 0.68, 0.69, 0.7, 0.71. (67/100, 68/100, 69/100, 70/100, 71/100)

Step-by-step explanation:

A rational number is a number that can be expressed as a fraction.

2/3 is approximately equal to 0.66.

4/5 is equal to 0.8

Thus, we just need to find 5 numbers between 0.66 and 0.8.

Some numbers that you could use are: 0.67, 0.68, 0.69, 0.7, 0.71

Hope this helps :)

Answer:  2/3=2×5/3×5. = 10/15

4/5 = 3×4/5×3 = 12/15

Step-by-step explanation:

We will multiply it with5+1 =6

10/15×6/6= 72/90

12/15 × 6/6 = 72/90

5 rational number between them are:61/90,62/90,63/90,64/90,65/90

Pls mark me as brainliest

Answer:

(2n + 7) (2n +7)

Step-by-step explanation:

To solve this problem we need to factorize 4n^2 + 28n +49 as shown below

[tex]4n^2 + 28n +49\\=>4n^2 + 14n + 14n +49\\=>2n(2n + 7) + 7(2n +7)\\=> (2n + 7) (2n +7)[/tex]

thus, after factorization we see that first option is correct one

(2n + 7) (2n +7)

we can validate this by expanding it

2n (2n +7) + 7 (2n+7)\

=> 4n^2 + 14n + 14n + 49 = 4n^2 + 28n +49 (which is equal to the problem stated expression)

━━━━━━━☆☆━━━━━━━

▹ Answer

3,298,076 is written as three million two hundred ninety eight thousand seventy six.

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

Three million, two hundred and ninety-eight thousand and seventy-six.

Answer:

[tex]m=-\frac{13}{20.8}=-0.625[/tex]

Nowe we can find the means for x and y like this:

[tex]\bar x= \frac{\sum x_i}{n}=\frac{16}{5}=3.2[/tex]

[tex]\bar y= \frac{\sum y_i}{n}=\frac{35}{5}=7[/tex]

And we can find the intercept using this:

[tex]b=\bar y -m \bar x=7-(-0.625*3.2)=9[/tex]

So the line would be given by:

[tex]y=-0.625 x +9[/tex]

Step-by-step explanation:

We have the following data:

X: 3,3,2,1,7

Y:6,7,8,9,5

We want to find an equationinf the following form:

[tex] y= bX +a[/tex]

[tex]a=m=\frac{S_{xy}}{S_{xx}}[/tex]

Where:

[tex]S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}[/tex]

[tex]S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}[/tex]

So we can find the sums like this:

[tex]\sum_{i=1}^n x_i = 3+3+2+1+7=16[/tex]

[tex]\sum_{i=1}^n y_i =6+7+8+9+5=35[/tex]

[tex]\sum_{i=1}^n x^2_i =72[/tex]

[tex]\sum_{i=1}^n y^2_i =255[/tex]

[tex]\sum_{i=1}^n x_i y_i =99[/tex]

With these we can find the sums:

[tex]S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=72-\frac{16^2}{5}=20.8[/tex]

[tex]S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}=99-\frac{16*35}{5}=-13[/tex]

And the slope would be:

[tex]m=-\frac{13}{20.8}=-0.625[/tex]

Nowe we can find the means for x and y like this:

[tex]\bar x= \frac{\sum x_i}{n}=\frac{16}{5}=3.2[/tex]

[tex]\bar y= \frac{\sum y_i}{n}=\frac{35}{5}=7[/tex]

And we can find the intercept using this:

[tex]b=\bar y -m \bar x=7-(-0.625*3.2)=9[/tex]

So the line would be given by:

[tex]y=-0.625 x +9[/tex]

Answer:

Vertical Shrink of a factor of 1/4

Step-by-step explanation:

Since we are manipulating a in f(x) = a(bx - h)² + k, we are dealing with vertical stretch (x > 1) and vertical shrink (x < 1). Since 1/4 < 1, we have a vertical shrink of 1/4.

Answer:  if you multiply the f(x) by 1/4 the graph seems to narrow, which is interpreted as a positive vertical shift .  The y value (output)  is 4 times greater

If you multiply the x² by 1/4, the graph seems to widen, which is interpreted as a negative vertical shift.  The y value is less by a factor of 1/4

Step-by-step explanation:  I am reading the question literally: multiplying f(x) by 1/4.  (This may be dangerous as mathematicians have their own lingo, and some words have specialized meanings that English majors haven't learned!)

I understand that f(x) or any other function is the y-output. So in order to graph a function, it is legitimate to substitute "y" for f(x).

I am attaching a graph with the f(x)=x² in red       f(x) = (1/4)x²  in green  and  (1/4)f(x) = x²  in blue.

As you can see, very different results:  Substituting 2 for x  

in red original  4 = 2²  

in green f(x) = (1/4)(2²) .  1 = (1/4)(4)

in blue (1/4)f(x) = x²   (1/4) 16 = (2²) =.  This is probably not the intended result, but it is literally what happens if you multiply the left side!  16  is the output on the graph.

So, despite my efforts to make sense of this, I realize that this answer is mistaken, and I hope someone can clear up my confusion, please!

Answer:   Exact volume is   2304pi    cubic yards

===========================================================

Work Shown:

V = (4/3)*pi*r^3 is the volume of any sphere with radius r

We have r = 12 as our radius

V = (4/3)*pi*12^3

V = (4/3)*pi*1728

V = (4/3)*1728*pi

V = 2304pi   is the exact volume in terms of pi

To get the approximate volume, replace pi with 3.14 or any decimal approximation of pi, and use your calculator. Or you can hit the pi button on your calculator to have the calculator use its stored value.

If you use pi = 3.14, then the approximate volume is roughly 7234.56 cubic yards.

Answer:

52 inches

Step-by-step explanation:

Answer:

we have, 1 feet =12 inches

13/3 foot =12×13/3 inches

=52 inches.

thereforethe , the answer is 52 inches.

Answer:

42

Step-by-step explanation:

You have to find the greatest number that divide 294, 252 and 210, i.e., the greatest common factor.

Then, you need to factor each number and calculate the product of the common factors raised to the lowest exponent.

294 = 2*3*7^2

252 = 2^2 * 3^2 * 7

210 = 2*3*5*7

Greatest common factor = 2*3*7 = 42

The biggest possible number of students to distribute the balls equally is 42

Answer:

Step-by-step explanation:

Here is another example :

Answer:

n = 6

x = 3

p = 0.32

q = 0.68

Step-by-step explanation:

Given:

32% are comfortable having drones deliver their purchases.

Suppose we are to find the probability that when 6 consumers are randomly​ selected, exactly 3 of them are comfortable with delivery by drones.

Required:

Find n, x, p, and q.

i) n represents the sample size. Here 6 consumers are selected randomly, therefore the sample size here is 6.

Thus, n = 6

ii) x represents the sample mean or number of successes. Since 3 consumers out of the selected 6 are comfortable with delivery by drones, the sample mean here is 3.

Thus, x = 3

iii) p represents population proportion or probability of success. Here population proportion(success probability) is 32% ≈ 0.32.

Thus, p = 0.32

iv) q represents probability of failure. To find probability of failure, use the formula:

1 - p

Thus,

1 - 0.32 = 0.68

q = 0.68

Answer:

raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. (given)

thus, rate of draining of water gallons per minute = -1.5

amount of water remaining in the bathtub = y,

the function of the time in minutes that it has been draining = x, .

at 0 minutes the amount of water is 40 gallons.

thus,the volume of water is 40 is decreasing at the rate of 1.5 gallons per minute

the given function is a linear function  

y = 0

however, the volume of water can be 0 but cannot ever be negative.

thus, the range of y will be all real numbers such that 0≤y≤40

Step-by-step explanation:

Answer:

y = 0

Step-by-step explanation:

i took test

Answer:

15

Step-by-step explanation:

f(x) = 5x + 40

Put x as -5.

f(-5) = 5(-5) + 40

f(-5) = -25 + 40

f(-5) = 15

Answer:

15

Step-by-step explanation:

We already know that [tex]f(x)=5x+40[/tex]. To find [tex]f(x)[/tex] when [tex]x=-5[/tex], we simply need to plug -5 into the equation. Thus:

[tex]f(-5)=5(-5)+40=-25+40=15[/tex]

The answer is 15.

Answer:

no

Step-by-step explanation:

hey

Answer:

So for the first few small values of n, we have proven by demonstration that f(n) = n / (n+1).

Our task is to prove that if it works for any positive integer value of n, then it works for n + 1. This way, it must by induction work for all subsequent values of n.

Formally said, we need to prove that if for some positive integer n we can show that f(n) = n / (n+1), then we can conclude that f(n+1) = (n + 1) / (n + 2).

We begin the real "proof" by expanding f(n + 1):

f(n + 1) = f(n) + 1 / ((n+1)((n+1)+1)) because that's based on the construction.

= n / (n+1) + 1 / ((n+1)(n+2)) because f(n) = n / (n+1); this is called "using what you know from earlier".

= n(n+2) / ((n+1)(n+2)) + 1 / ((n+1)(n+2)) because we can multiply the left fraction by (n+2)/(n+2).

= (n2 + 2n + 1) / ((n+1)(n+2)) because we have a common denominator and can combine the numerators.

= (n+1)2 / ( (n+1)(n+2)) because we can factor the numerator now; it is a perfect square.

= (n+1) / (n+2) because we can cancel the common (n+1) factor from the numerator and denominator.

Q.E.D. (which means "that which was to be proven", in other words: "voilà")

Step-by-step explanation:

Answer:

Limit [tex]$\lim_{x \to 0} f(x)$[/tex] does not exist.

Step-by-step explanation:

To calculate left hand limit, we use a value slightly lesser than that of 0.

To calculate right hand limit, we use a value slightly greater than that of 0.

Let h be a very small value.

Left hand limit will be calculate at 0-h

Right hand limit will be calculate at 0+h

First of all, let us have a look at the value of f(0-h) and f(0+h)

[tex]f(0-h)=f(-h) = \dfrac{-h}{|-h|}\\\Rightarrow \dfrac{-h}{h} = -1[/tex]

[tex]f(0-h)=-1 ....... (1)[/tex]

[tex]f(0+h)=f(h) = \dfrac{h}{|h|}\\\Rightarrow \dfrac{h}{h} = 1[/tex]

[tex]f(0+h)=1 ....... (2)[/tex]

Now, left hand limit:

[tex]$\lim_{x \to 0^{-} } f(x)$\\[/tex] = [tex]$\lim_{h \to 0} f(0-h)$[/tex]

[tex]\Rightarrow[/tex] [tex]$\lim_{h \to 0} f(-h)$[/tex]

Using equation (1):

[tex]$\lim_{x \to 0^{-} } f(x)$\\[/tex] = -1

Now, Right hand limit:

[tex]$\lim_{x \to 0^{+} } f(x)$\\[/tex] = [tex]$\lim_{h \to 0} f(0+h)$[/tex]

[tex]\Rightarrow[/tex] [tex]$\lim_{h \to 0} f(h)$[/tex]

Using equation (2):

[tex]$\lim_{x \to 0^{-} } f(x)$\\[/tex] = 1

Since Left Hand Limit [tex]\neq[/tex] Right Hand Limit

So, the answer is:

Limit [tex]$\lim_{x \to 0} f(x)$[/tex] does not exist.

Answer:

98

You have to use prime factor decompisition. I hope this helps

Answer:

it is either 98 or -98

Step-by-step explanation:

Given the number 9604

Taking the square root

=> [tex]\sqrt{9604}[/tex]

=> ±98

So, it is either 98 or -98

Answer:

5/1

Step-by-step explanation:it goes up 5 and over 1

Answer:

Solution,

Let the points be A and B

A ( 8 , 2 ) -----> (X1 , y1 )

B ( 9 , 7 ) -------> (x2 , y2)

Now,

Slope =[tex] \frac{y2 - y1}{x2 - x1} [/tex]

[tex] = \frac{7 - 2}{9 - 8} [/tex]

[tex] = \frac{ 5}{1} [/tex]

[tex] = 5[/tex]

Hope this helps..

Good luck on your assignment...

Answer:

Step-by-step explanation:

( 3 √ 3)(6√6) = ( 3 × 6) (√ 6 × 3)

= 18√18 = 18( √ 9 × 2)

= 18 ( √9 × √2)

= 18( 3√2)

= ( 18 × 3)√2

Hope this helps you

3√3 x 6√6

multiply whats outside the radical and put it outside:

6 x 3 = 18 ------> 18√x

and multiply what's inside and place it inside:  

3 x 6 = 18  --------> x√18

so now, you have 18√18, which can be simplified to:

18√(9 x 2)

18√9√2 = 18*3√2 =   54√2                                    

Answer:

(x+3) (x+9)

Step-by-step explanation:

using quadratic formular ...you will have

The above

Answer:

i = {√(P-180)/20}+ 3

Step-by-step explanation:

Here, we simply need to make i the subject of the formula

that would be;

P -180 = 20(i-3)^2

Divide through by 20

(P-180)/20 = (i-3)^2

Find the square root of both sides

sqr (P-180)/20 = i-3

i = {√(P-180)/20}+ 3