sup yall

solve 4p-7r=pq+16 for p

Answers

Answer 1

Answer:

p = (7r+16) / (4-q)

Step-by-step explanation:

4p - 7r = pq + 16

Add 7r to both sides.

4p = pq + 16 + 7r

Subtract pq from both sides.

4p - pq = 7r + 16

Factor out p from the left side.

p(4 - q) = 7r + 16

Divide both sides by (4 - q).

p = (7r + 16)/(4 - q)

The 7r and the 16 could be in either order, like 7r+16 or 16+7r. You could show that the answer is a fraction with 7r+16 on top and 4-q on the bottom. If you are writing or on the computer selecting a fraction that is stacked you don't need need the parenthesis.


Related Questions

Given m(x) = |2x - 91, find x when m(x) = 15.

Answers

The value modulus functions of x are found as 12 and -3.

What is defined as the modulus functions?

A modulus function returns the magnitude of a number regardless of its sign.

It's also known as the absolute value function. The modulus function, signified by |x| in mathematics, gives the modulus of a real number x. It returns a non-negative value for x. The modulus or absolute value of the a number is often recognized as the number's distance from the origin or zero.

The modulus function's value is always non-negative. Whenever f(x) is a modulus function, we get:

For x is positive, then f(x) = xFor x = 0, then f(x) = 0For x < 0, then f(x) = -x

for the given function;

m(x) = |2x - 9|, where m(x) = 15.

then,

15 = |2x - 9|

Open the modulus function in its corresponding positive and negative values;

15 = 2x -9 and also 15 = -(2x - 9).

Solving both;

15 = 2x -9

2x = 15 + 9

2x = 24

x = 12

and, the second functions;

15 = -(2x - 9)

15 = -2x + 9

-2x = 15 - 9

x = -3

Thus, the solution for x are 12 and -3.

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The correct question is-

Given m(x) = |2x - 9|, find x when m(x) = 15.

2.4z + 1.2z - 6.5 = 0.7

Answers

Answer:  z = 2

Step-by-step explanation:

2.4z+1.2z-6.5=0.7

3.6z-6.5=0.7

3.6z=0.7+6.5

3.6z= 7.2

z=7.2/3.6

z=2

What’s the measure of QS?
A ) 6.2 mm
B) 9.5 mm
C)21.9 mm
D)22.4 mm

Please show work because I need to understand

Answers

c, you jus gotta add QR + RS = QS, so therefore 6.2 + 15.7 = 21.9

how do you calculate these numbers from least to greatest −2.0, 0.25, −1.02, 1.98.?

Answers

Answer: -2.0, -1.02, 0.25, 1.98

Step-by-step explanation:

Remember that negative numbers always go last. The bigger the negative number is, the smaller its quantity is. So -2.0 is less than -1.02. Then we have the positive numbers: 0.25, and 1.98. 0.25 is less than 1.98 because 1.98 has a whole number and 0.25 doesn't have a whole. Hope this helps :)

For the following relation, provide the domain and range.

Domain: [A, B] Range: [C, D]

A=

B=

C=

D=​

Answers

Answer:

Domain: [-4,2]

Range: [-3,3]

Step-by-step explanation:

A = -4

B = 2

C = -3

D = 3

A 'variable' is defined as when a characteristic of interest differs in kind or degree among various observations. True or false

Answers

True ,A 'variable' is defined as when a characteristic of interest differs in kind or degree among various observations.

How do nominal and ordinal differ?

Nominal: The information is only classifiable. Ordinal: The information is classifiable and rankable. Interval: The data can be equally spaced, categorized, and rated. Ratio: The data is evenly spaced, categorizable, rankable, and has a natural zero.

What in statistics is a ratio variable?

Multiplicity of ratio variables (statistics) a variable with interval characteristics as well as meaningful ratios between any two of its values, which makes multiplication and division operations comprehensible.

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2) How many distinguishable letter arrangements can be made from the letters in:
a) FLUKE?
b) PROPOSE?

Answers

Answer:

for "FLUKE" its 5! = 120

and "PROPOSE" its 7! /2!×2! = 1260

Step-by-step explanation:

"FLUKE" has no repeating letters.

"PROPOSE" has two repeating letters.

we divide by the repeating letters like I did on "PROPOSE" .

THANK YOU.

You are given the equation v = ir, if you compare this to y = mx b, what is the y intercept, b equal to?

Answers

The y-intercept is (0, C/B).

What is the y-intercept?A y-intercept or vertical intercept is a point in analytic geometry where the graph of a function or relation intersects the y-axis of the coordinate system, using the common conference that the horizontal axis represents a variable x and the vertical axis represents a variable y. As a result, these points satisfy the condition x = 0.

Given:

v = iry = mxb

Then,

Ax + By = C, where B ≠ 0By = - Ax + cy = - A/Bx + C/B ......(1)y = mx + bm = - A/B(0, C/B)

Therefore, the y-intercept is (0, C/B).

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the height of a frame is 2/3 times its width

Answers

The height of the frame is 1 m and the width is 1.5 meters.

The height and width are the two dimensions that are used to measure the perimeter of a rectangular frame.

The perimeter is defined as the sum of all sides of a polygon. For a rectangle it is equal to twice the sum of height and width.

Perimeter(p)=2×[height(h)+width(w)]

The given dimensions of the frame is that the height is [tex]\frac{2}{3}[/tex] the width.

Let us consider the width be x.

Hence height=[tex]\frac{2}{3} x[/tex]

Now perimeter =

[tex]2\times(x+\frac{2}{3}x) \\=\frac{10}{3} x[/tex]

But the given perimeter is 5 meter.

Therefore:

[tex]\frac{10}{3} x=5\\or,x=5\times 3\div 10\\or,x=1.5[/tex]

Therefore the width is 1.5 meters.

Height=[tex]\frac{2}{3} \times 1.5\\[/tex]=1 meter.

So we can conclude that the width is 1.5 meters and the height is 1 meter.

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Show that
5x+2
3x
+1⁄/12
can be written in the form
ax+b
CX
where a, b and c are integers.

Answers

Answer:

Step-by-step explanation:

When completing the square, an expression like,

ax2 + bx + c is written in the form (Ax + B)2 + C.

We will begin with the simple example where a = 1. In this case we will write expressions in the form

x2 + bx + c as (x + B)2 + C

If we expand (x + B)2 + C we get x2 + 2Bx + B2 + C.

Comparing this with x2 + bx + c shows that

b = 2B and c = B2 + C

which gives B =

b

2

and C = c – B2

greg can eat 1/8 of a hamburger in 1/12 of an hour how many hamburgers can greag eat in one hour

Answers

Answer: 1.5 Burgers an hour

1/8 x 12 = 1.5

Multiply 1/8 by 12 to get and hour because 12/12ths = 1 hour

If p(a | b) = 0.4, p(b) = 0.8, and p(a) = 0.5, are the events a and b independent?

Answers

The events A and B are not independent.

Given that,

                  P(A|B) = 0.4

                  P(A) = 0.5

                  P(B) = 0.8

Two events A and B are said to be independent, if P(A∩B) = P(A) P(B)

We have, P(A|B) = P(A∩B)/P(B)

Therefore, P(A∩B) = P(A|B) P(B) = 0.4 x 0.8 = 0.32

Now P(A) P(B) = 0.5 x 0.8 = 0.4

So P(A∩B) ≠ P(A)P(B)

Therefore, the events A and B are not independent.

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What is the slope of the line? Coordinate grid ranging from negative five to five on the x and y axes. A line passes through points (negative two, one) and (two, negative one). Responses −12 negative fraction 1 over 2 end fraction 2 2 12 1 half −2

Answers

The Slope of the line passing through the points (-2,1) and (2,-1) is -1/2 .

The Slope(m) of the line is defined as the change in y coordinate with respect to change in x coordinate ,

The Slope(m) of line passing through the points A(a,b) and B(c,d) is calculated using the formula

m = (d-b)/(c-a)

In the question

it is given that the line passes through the points (-2,1) and (2,-1) .

name the points as A(-2,1) and B(2,-1) .

the values are a=-2  ,  b=1  ,  c=2  ,  d=-1 .

Substituting the values in the formula of Slope we get

m = (-1-1)/(2-(-2))

= -2/(2 + 2)

= -2/4

= -1/2

Therefore , the slope of the line passing through the points (-2,1) and (2,-1)  is -1/2 .

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Answer:

Step-by-step explanation:

The Slope of the line passing through the points (-2,1) and (2,-1) is -1/2 .

After a 20% increase, the new price of a radio is $78. what was the original price?

Answers

Answer:

$65

Step-by-step explanation:

The original price was x.

x was increased by 20%, so the new price is

x + 20% of x = x + 0.2x = 1.2x

The new price is 1.2x

The new price is $78

1.2x = 78

x = 78/1.2

x = 65

Answer: $65

Please help with algebra!

Answers

Answer:

[tex]x=29[/tex]

Step-by-step explanation:

These two angles add up to 180 degrees. We can make an equation saying that [tex](2x+6)+4x=180[/tex]. Simplifying, we get [tex]6x+6=180\\[/tex].

Now when we subtract 6 from both sides we get [tex]6x=174[/tex]. Then we divide both sides by 6 to get our final answer: [tex]x=29[/tex]

Hope this helps!

7. Charlotte needs to order thread to sew buttons onto marching band uniforms.
A 400-yard spool of thread is sold for $5.
• Each uniform needs 50 buttons.
There are 100 uniforms that need buttons.


• Each button requires of a yard of thread.
How much money should Charlotte ask for in the budget to spend on thread?

Answers

Using proportions, it is found that Charlotte should ask for $62.5 in the budget to spend on thread.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

Each uniform needs 50 buttons, and there are 100 uniforms, hence the number of buttons needed is:

50 x 100 = 5000.

Each button requires of a yard of thread, hence the number of yards needed is:

5000 x 1 = 5000 yards.

A 400-yard spool of thread is sold for $5, hence the budget needed is:

(5000/400) x 5 = $62.5.

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Solve for xxx. Enter the solutions from least to greatest. Round to two decimal places. (x - 6)^2 - 5 = 0

Answers

Add 5 to both sides of the equation.

[tex]\boldsymbol{\sf{(x-6)^{2}-5=0 }}[/tex]

Take the square root of both sides to eliminate the exponent on the left side.

[tex]\boldsymbol{\sf{x-6=\pm\sqrt{5} }}[/tex]

The complete solution is the result of the positive or negative portions of the solution.First, use the positive value of ± to find the first solution.

[tex]\boldsymbol{\sf{x-6=\sqrt{5} }}[/tex]

Add 6 to both sides of the equation.

[tex]\boldsymbol{ \sf{x=\sqrt{5}+6 }}[/tex]

Then use the negative value of ± to find the second solution.

[tex]\boldsymbol{\sf{x-6=-\sqrt{5} }}[/tex]

Add 6 to both sides of the equation.

[tex]\boldsymbol{\sf{x=-\sqrt{5}+6 }}[/tex]

The complete solution is the result of the positive or negative portions of the solution.

[tex]\boldsymbol{\sf{x=\sqrt{5}+6,-\sqrt{5}+6 }}[/tex]

    [tex]\huge \red{\boxed{\boldsymbol{\sf{Answer \ \ \longmapsto \ \ \ x=\pm\sqrt{5}+6 }}}}[/tex]

Skandar


In the figure below, m ZABD = 104°, BC bisects LABD, and BE bisects ZCBD. Find mZEBD.
Check
A
B
C
E
D
mZEBD
X
2022 McGraw

Answers

The measure of ∠EBD from the given figure is 26°.

Given that, m∠ABD=104°, BC bisects ∠ABD, and BE bisects ∠CBD.

What is an angle bisector?

An angle bisector is defined as a ray, segment, or line that divides a given angle into two angles of equal measure. The word bisector or bisection means dividing one thing into two equal parts.

Since BC bisects ∠ABD, we get ∠ABC=∠CBD

So, ∠ABD=∠ABC+∠CBD

⇒2∠CBD=104°

⇒∠CBD=52°

Here, BE bisects ∠CBD, we get ∠CBE=∠EBD

So, ∠CBD=∠CBE+∠EBD

⇒2∠EBD=52°

⇒∠EBD=26°

Therefore, the measure of ∠EBD from the given figure is 26°.

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How many significant digits are in the number 1.00460? select one: a. 6 b. 3 c. 5 d. 4

Answers

There are 6 significant digits in the number 1.00460.

What are digits?In mathematics, digits are the single symbols used to represent numbers. For example, in the number 89, the digits 8 and 9 are both two digits. As a result, numerals such as 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and 0 are forms of digits that are used to represent a combination of numbers and perform arithmetic operations in our daily lives.We use ten digits to create all numerals. A numeral is a written number. These are the numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

Therefore, there are 6 significant digits in the number 1.00460.

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4. The
sum of a number z and 16.2 is at most 30.

Answers

z + 16.2 ≤ 30

z ≤ 13.8

During its year ending june 31, 2021, giant purchased, $3,551,723 of inventory for sale in its stores. how much did giant recognize/record as cost of goods sold for the year ended june 31, 2021?

Answers

Cash paid to the suppliers is 35,56,530$

Given here, The Amount of raw material purchased by company is 35,71,723$.

Firstly, we calculate decrease in Accounts payable = 115492$ - 110685$

= 4807$.

Now, cash paid to the suppliers is calculated by,

Cash paid to the suppliers= Purchases of raw material + Decrease in Account payable.

= 35,71,723$ + 4807$

= 35,56,530$

Thus, the cash paid to the suppliers is 35,56,530$.

The amount of Accounts Payable on a company's balance sheet is significant. If AP rises over the previous period, it indicates that the business is using credit rather than cash to purchase more goods and services. A company's accounts payable (AP) will decline if it is paying its commitments from the prior period more quickly than it is acquiring new things on credit.

Management of accounts payable is essential for controlling a company's cash flow. The top component of the cash flow statement, the cash flow from operational activities, shows the net change in AP from the prior period when the indirect method is used to create the cash flow statement.

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On a trip to Canada, you may wish to convert the local temperature from Celsius to Fahrenheit. Given the following formula, determine the temperature in degrees Fahrenheit

Answers

Answer:

138.2

Step-by-step explanation:

Celsius to Farenheit

(59/5)*9=106.2

106.2+32=138.2 farenheit

6/4 + 0.68

Jason solved this problem by changing 6/4 to 1.2. He then added 1.2 to 0.68 and got 1.88.

This answer is incorrect. What did he do wrong?

Multiple choices accepted

Group of answer choices

1.2 + 0.68 should have equaled 8.0

1.2 + 0.68 should have equaled 0.80

6/4 should have been changed to 1.5

6/4 should have been changed to 1.24


PLEASE ANSWER FASTTT IM TIMED

Answers

Answer

1.2 + 0.68 should have equaled 0.80

Step-by-step explanation:

jason solved this problem by changing 6/4 to 1.2. He then added 1.2 to 0.68 and got 1.88.

This answer is incorrect. What did he do wrong?

If Jason solved this problem by changing 6/4 to 1.2, The wrong thing he did is ; 6/4 should have been changed to 1.5. Option C is correct

How to solve the problem

To find the correct answer, let's first evaluate the expression step by step:

1. 6/4 is equal to 1.5, not 1.2.

2. 1.5 + 0.68 equals 2.18, this is not 1.88.

So, the correct answer is: Jason made a mistake in the first step. He changed 6/4 to 1.2, but it should have been 1.5.

Therefore, the correct calculation is 1.5 + 0.68 = 2.18.

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PLEASE HELP (at least c)

A machinist is required to manufacture a circular metal disk with area 715cm squared
. Give your answers in exact form. Do not write them as decimal approximations.

a) What radius, x , produces such a disk?

b) If the machinist is allowed an error tolerance of ±5cm2 in the area of the disk, how close to the ideal radius in part (a) must the machinist control the radius?

c) Using the ε / δ definition of a limit, determine each of the following values in this context:

f(x)=
a=
L=
ε=
δ=

Answers

The 715 cm² area of the disc and the ±5 cm² error tolerance, gives;

a) x = √(715/π) cm

b) The range for the radius is; [√(710/π) cm, √(720/π) cm]

c)

f(x) = π•x²

L = 715 cm²

E = 5 cm

d = √(5/π) cm

How can the variables in the [tex] \epsilon / \delta [/tex] definition of limits be found?

Area of the circular metal disk = 715 cm²

a) Required; The disk radius

Let A represent the area of the disk and let x represent the radius, we have;

A = π•x²

Therefore;

x = √(A/π)

Which gives;

x = √(715/π) cm

b) Allowed area error tolerance = ± 5 cm²

The allowed range of values for the area is therefore;

710 ≤ A ≤ 720

Which gives;

√(710/π) ≤ x ≤ √(720/π)

c) From the [tex] \epsilon / \delta [/tex] definition of limits, we have;

[tex] \lim\limits_{x → √(715/π)} f(x) = 715 [/tex]

Which gives;

f(x) = A = π•x²

L = 715

|f(x) - L| < E = 5 cm

|x - √(715/π)| < d = √(5/π)

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d= √(7₂ (x2 − ₁)² + (Y2 − ₁)² Evaluate d if (x1, y₁) = (-3, 4) and (x2, Y2) = (−2, 4).​

Answers

Hi
Check out the attached photo

please help,, will mark branliest if its right!!

Answers

Answer:

1. DNE

2. DNE

3. (-2, inf)

4. (-3,-2)

Step-by-step explanation:

lol i still dont get it i need a smartt brainlist help pleaseee

Answers

3v² + 4v + 5 should be the answer

-5,5 postać ułamka zwykłego -4,8 postać ułamka zwykłego pomocy

Answers

Answer:

[tex]-5.5 = \frac{-11}{2}[/tex]

[tex]-4.8 = \frac{-24}{5}[/tex]

Step-by-step explanation:

Postać ułamka zwykłego oznacza postać [tex]\frac{licznik}{mianownik}[/tex].

Zaczynamy od zauważenia, że [tex]-5.5 = -55/10 = -\frac{55}{10} = -\frac{11}{2} = \frac{-11}{2}[/tex]

-4.8 robimy analogicznie, tylko skracamy przez 2 a nie przez 5.

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A rectangle is 15 cm wide. Find the area and the perimeter of the rectangle if its width is 3/5 of its length

Answers

The area and perimeter of the rectangle are 80 cm and 375 cm² respectively.

How to find area and perimeter of a rectangle?

The rectangle is 15 cm wide.

The width is 3 / 5 of its length

Therefore, the area and the perimeter of the rectangle can be found as follows:

area of a rectangle = lw

where

l = lengthw = width

Therefore,

w = 15 cm

15 = 3 / 5 × l

cross multiply

75 = 3l

l  =75 / 3

l = 25 cm

Therefore,

area of the rectangle = 25 × 15 = 375 cm²

Perimeter of the rectangle = 2l + 2w

Perimeter of the rectangle = 2(l + w)

Perimeter of the rectangle = 2(25 + 15)

Perimeter of the rectangle = 2(40)

Perimeter of the rectangle = 80 cm

Therefore, the area and perimeter of the rectangle are 80 cm and 375 cm² respectively.

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A recent report stated that less than 35 percent of adult residents in a certain city will be able to pass a physical fitness test. Consequently, the city's Recreation Department is trying to convince the City Council to fund more physical fitness programs. The council is facing budget constraints and is skeptical of the report. The council will fund more physical fitness programs only if the Recreation Department can provide convincing evidence that the report is true. The Recreation Department plans to collect data from a sample of 185 adult residents in the city. A test of significance will be conducted at a significance level of a= 0.05 for the following hypotheses.
H0:p=0.35
Ha:p<0.35
where p is the proportion of adult residents in the city who are able to pass the physical fitness test.
The Recreation Department recruits 185 residents who volunteer to take the physical fitness test. The test is passed by 77 of the 185 volunteers, indicating that more than 35 percent of the city is in shape. Describe the primary flaw in the study described in part and explain why it is a concern.

Answers

The primary flaw is that the sample will slightly overestimate the physical fitness of the people of the town.

The given  hypothesis are,

[tex]H_0:p=0.35\\H_1:p < 0.35[/tex]

Type II error is accepted in null hypothesis when it is not actually true.

In the given question null hypothesis p= 0.35

The conclusion is that in the given sample proportion is  not equal to 0.35, though we know that proportion is not equal to 0.35 we accept the null hypothesis, that is wrong.

Now given n=185,x=77 P=0.53 then Q=1-0.35=0.65

[tex]H_0:P=0.35\\H_1:P < 0.35[/tex]

Now test statistic [tex]Z=\frac{p-P}{\sqrt{\frac{PQ}{n}}}[/tex]

Solving for Z using the given values we get :

Z=1.99

Now 1.99>-1.65

So we accept [tex]H_0[/tex]

The primary flaw in the system is that the sample is not randomly selected rather they are volunteers. So it is reasonable to think that the physical fitness of the town will be slightly over estimated by the experiment.

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