if (p+2q)/p = 7/5 , find the value of q/p , where p ≠ 0​

Answers

Answer 1
Answer:   1/5

Work Shown:

(p+2q)/p = 7/5

(p/p)+(2q/p) = 7/5

1 + 2(q/p) = 7/5

2(q/p) = 7/5 - 1

2(q/p) = 7/5 - 5/5

2(q/p) = (7-5)/5

2(q/p) = 2/5

q/p = (2/5)*(1/2)

q/p = (2*1)/(5*2)

q/p = 1/5

Answer 2

Answer:

q/p = 1/5

Step-by-step explanation:

(p+2q)/p = 7/5

Multiply each side by p

(p+2q)/p *p = 7/5*p

(p+2q) = 7p/5

Multiply each side by 5

(p+2q)*5 = 7p/5 *5

5p + 10q = 7p

Subtract 5p from each side

5p + 10q -5p = 7p -5p

10 q = 2p

divide each side by p

10q/p = 2p/p

10 q/p = 2

Divide each side by 10

q/p = 2/10

q/p = 1/5


Related Questions

What is a counterexample to this claim? Dividing a number by 2 always results in a smaller number.

Answers

Given:

Dividing a number by 2 always results in a smaller number.

To find:

The counterexample to the given claim.

Solution:

If 0 is divided by is divided by any non-zero real number [tex]a[/tex], then

[tex]\dfrac{0}{a}=0[/tex]

Let us consider the unknown number be 0. Then dividing a number by 2, we get

[tex]\dfrac{0}{2}=0[/tex]

Here, the result is not a smaller number because [tex]0=0[/tex].

Therefore, the counterexample to the given claim is "Dividing 0 by 2".

Answer:

-1

Step-by-step explanation:

Please help me with this question please and thank you ❤️

Answers

Answer:

x = -1

Step-by-step explanation:

3x - 1/9 (27) = 18

3x - 3

Divide both sides be 3

x = -1

Answer:

x = 7

Step-by-step explanation:

to solve this equation we are given the value of y which 27. just substitute 27 for y in the equation :

3x - 1/9(27) = 18

3x - 3 = 18

3x = 21

x= 7

add 7 with the diffrence of 12 and 9 =​

Answers

Answer:

7+3 = 10

Step-by-step explanation:

if I understand the problem strangeness right, and there is nothing missing in it, then this is the simple answer.

the difference of 12 and 9 is 12-9 = 3.

and then adding this 3 to 7 is 7+3 =10

Answer:

10

Step-by-step explanation:

The difference of 12 and 9 is 3.

Now,

If we add 7 to 3, the answer is 10.

f(x) = x2 + 3x + 2 is shifted 2 units left. The result is g(x). What is g(x)?

Answers

Answer:

[tex]g(x) = x^2+7x+12[/tex]

Step-by-step explanation:

If we are given a function f and we want to shift it a units horizontally, the resulting function will be f(x - a), where a positive a is a shift rightwards and a negative a is a shift leftwards.

We have the function:

[tex]f(x)=x^2+3x+2[/tex]

And we want to shift it two units to the left.

Since we want to shift it two units to the left, a = -2. Therefore, our new function, let's call it g, must be f(x - (-2)) or f(x + 2). Substitute:

[tex]g(x) = f(x+2)=(x+2)^2+3(x+2)+2[/tex]

Simplify. Expand:

[tex]g(x) = (x^2+4x+4)+(3x+6)+2[/tex]

Combine like terms. Hence:

[tex]g(x) = x^2+7x+12[/tex]

simplify 6÷[5{6÷(5-2)}]

answer correctly i will give brainliest.

Answers

Answer:

hope this helppppp youuu

the answer is 0.6 :)

aint the answer for this 10 just let me if im wrong​

Answers

Answer:

Yup

Step-by-step explanation:

evaluate
[tex] {( - 7)}^{ \frac{5}{3} } \times {( \frac{1}{56} )}^{ \frac{5}{3} } [/tex]
please explain​

Answers

[tex]\frac{-1}{32}[/tex] is a required answer.

Answer:

Solution given:

[tex] {( - 7)}^{ \frac{5}{3} } \times {( \frac{1}{56} )}^{ \frac{5}{3} } [/tex]

take power common

[tex](\frac{-7*1}{56})^{\frac{5}{3}}[/tex]

Reduce the fraction

[tex](\frac{-1}{8})^{\frac{5}{3}}[/tex]

make the1 and 8 in terms power 3

[tex](\frac{-1³}{2³})^{\frac{5}{3}}[/tex]

take the common power

[tex](\frac{-1}{2})^{3*\frac{5}{3}}[/tex]

Reduce power

[tex](\frac{-1}{2})^{5}[/tex]

now

distribute power

[tex]\frac{-1^{5}}{2^{5}}[/tex]

[tex]\frac{-1}{32}[/tex]

Which graph represents the function f(x) = √x+3 – 1?

Answers

Answer:

look at the png below

Step-by-step explanation:

Can someone help me with this math homework please!

Answers

Answer:

The graph for a member's yearly cost for total game tokens purchased would have a y-intercept of (0, 60). However, the nonmember's yearly cost would have a different y-intercept of (0,0). This is because the member's yearly cost has a yearly initial fee of $60, while as the nonmember yearly cost doesn't include an inital fee. Also, the graph for the nonmember's yearly cost would be steeper than the member's graph because the slope 1/5 is greater than 1/10.

Hope this helps (●'◡'●)

The fractions 1/10 and 1/5 convert to 0.1 and 0.2 respectively.

So the equations y = (1/10)x+60 and y = (1/5)x are the same as y = 0.1x+60 and y = 0.2x in that order.

We see that the nonmember cost graph is steeper since the slope 0.2 is larger than 0.1; the further we move away from 0, the steeper the slope. A steeper slope means that you pay more per token. This is the unit cost.

Specifically, you would pay 0.20-0.10 = 0.10 more dollars per token if you are a nonmember compared to if you are a member.

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

Also, notice that the y intercepts of y = 0.1x+60 and y = 0.2x are 60 and 0 in that order. The members pay an up front fee of $60 before they can buy any tokens. Nonmembers don't have to pay an upfront cost.

Visually, the graph for the members will be much higher up compared to the nonmembers graph. Both lines are increasing, but the members graph is increasing less overall. At some point, the two lines intersect. After this point, it makes more sense to be a member.

What is the function rule for the line?

Answers

Answer:

y =2/3x -2

Step-by-step explanation:

The y intercept is -2

The slope is

m = (y2-y1)/ (x2-x1)

Using the points (0,-2) and  (3,0)

m = ( 0 - -2)/(3 -0)

    = (0+2)/(3-0)

   = 2/3

The slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y =2/3x -2

1/2a=11

a=? P.S I am not in high school I am in 4TH GRADE!!!

Answers

Answer:

a: 1/22

Step-by-step explanation:

cross multiply 1/2a=11

which will give 22a=1

divide both sides by 22

to give a=1/22

what is the value of the expression below? (8^5/3)^1/5

Answers

Answer:

8^1/3

Step-by-step explanation:

(8^5/3)^1/5

8^5/3×1/5

8^5/15

8^1/3

Answer:

Step-by-step explanation:

Exponent Rule: [tex](a^{m})^{n}=a^{m*n}[/tex]

[tex](8^{\frac{5}{3}})^{\frac{1}{5}}= 8^{\frac{5}{3}}*{\frac{1}{5}}\\\\\\=8^{\frac{1}{3}}\\\\= \sqrt[3]{8} \\\\= \sqrt[3]{2*2*2}\\\\= 2[/tex]

C=-(251x3+281)+3X251-(1-281)

Answers

Answer:

-1

Step-by-step explanation:

=-251x3+281 +251x3-1+281

=-1

The length of a boat in scale drawing is 8 in. Find the length of the actual
boat if the scale is 1 in = 3 ft.
A)24 in
B.)24 ft
C.) 8 ft
D.) 11 in.

Answers

Answer:

B. 24 ft

Step-by-step explanation:

1 in = 3ft

8 in must equal 24 ft since 8 in x 3 ft is 24 ft. So, B.

The length of the boat will be equal to 24 ft.

What is the scale factor?

The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.

Given that:-

The length of a boat in scale drawing is 8 in. Find the length of the actual boat if the scale is 1 in = 3 ft.

The actual length will be calculated as follows:-

1 in = 3 ft.

8 in = 8 x 3 ft

8 in = 24 ft.

Therefore the length of the boat will be equal to 24 ft.

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Daniel paid interest of 1,020 in 5years at12%per annum on a loan. Hw much did he borrow

Answers

I = Prt
I=1020
r=0.12 (12% converted to decimal by dividing by 100)
t=5
1020=P(0.12)(5)
1020=P(0.6)
P=1700

please I really need help with this

Answers

Answer:

24

Step-by-step explanation:

(1+25) - (16)(1/8)

26 - 2

24

Cheers

Answer:

24

Step-by-step explanation:

(1+5^2) -16 ( 1/2)^3

PEMDAS

Parentheses first

Exponents in the parentheses

(1+25) -16 ( 1/2)^3

Then add in the parentheses

(26) -16 ( 1/2)^3

Then exponents

(26) -16 ( 1/8)

Then multiply

26 - 2

Then subtract

24

What is the area of the label on a soup can that is 8 inches high and has a diameter of 4 inches? Round to the nearest hundredth. Assume the label wraps around the entire height of the can and does not overlap. SHOW WORK..

Answers

Answer:

Area of label = 100 inch² (Approx.)

Step-by-step explanation:

Given:

Height of label = 8 inches

Diameter of label = 4 inches

Find:

Area of label

Computation:

Design of label = Rectangle

So,

Width of label = 2πr

Width of label = 2(3.14)(4/2)

Width of label = 2(3.14)(2)

Width of label = 12.56 inches

Area of label = Height of label x Width of label

Area of label = 12.56 x 8

Area of label = 100.48

Area of label = 100 inch² (Approx.)

Please help me out with this one!

Answers

Are you sure you need this it’s summer

Answer:

87 in^2

Step-by-step explanation:

24 + 18 + 15 + 30

the 30  is 2(1/2 * 5 * 6)

how can you find the slope of a line and use it to
solve problems?

Answers

Answer:

Step-by-step explanation:

1) Mark two points on the line in the graph.

2) Determine the rise and run. Rise ---> difference in y-coordinates. (y2-y1)

Run -----> difference in  x-coordinates (x2 - x1)

3) Plugin the values in the below mentioned formula.

[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

1.If slope = 0, then the line is parallel to x-axis.

2. If slope is undefined, then the line is parallel to y-axis.

3. If slope is +ve, then the line slant upwards and if slope = -ve, then the line slant downwards.

hey are In 1990 oranges cost $0.56 per pound. In 2003 they cost $0.86 per pound. How 0 35. much did the oranges appreciate (percent of increase)?

SHOW YOUR WORK.​

Answers

Answer:

Solution given:

in 1990

cost of orange[C.P]=$0.56

in 2003

cost of orange[S.P]=$0.86

now

increased price[profit]=S.P-C.P=$0.86-$0.56=$0.3

Now

increased percent [profit%]=?

we have

profit%=profit/c.p*100%

=0.3/0.56*100=53.57℅

Therefore

the oranges appreciated by 53.57%

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

Given:-are In 1990 oranges cost $0.56 per pound. In 2003 they cost $0.86 per pound

Find:-percentage of increasing

Solution:-

we have, 1990 oranges cost $0.56 per pound. In 2003 they cost $0.86 per pound.

so,

C.P of 1990=0.56$c.p of 2003=0.86$

[tex]\sf{increase_{(profit)}=0.86-0.56=0.3 }[/tex]

we know that,

[tex]\bold{ profit\%=\dfrac{profit}{C.P}×100 }[/tex]

According to the question,

[tex]\sf{percentage_{(profit)}=\dfrac{0.3}{0.56}×100 }[/tex]

[tex]\sf{percentage_{(profit)}=\dfrac{5357}{100} }[/tex]

[tex]\sf{percentage_{(profit)}=53.57\% }[/tex]

What is the volume of the cylinder below?
A. 196pi units3
B. 784pi units3
C. 98pi units 3
D. 112pi units 3

Answers

Answer:

196π units^3

Step-by-step explanation:

The volume of a cylinder is:

πr^2h

SINCE, there is no given pi, the formula will be:

r^2h

Use the formula on the given dimensions:

r^2h

= (7^2) 4

= (49) 4

= 196

So we could just leave the final answer as:

196π

The real volume will be solved once π is given.

I hope I helped!

The volume of the cylinder given is 196 π, Option  A is correct.

The volume of the cylinder is given by V=πr²h

Where r is radius of cylinder and h is the height of the cylinder.

V is the volume

r=7

h=4

Now plug in these values in volume formula.

V=π(7)².4

=π.49.4

V=196π

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Find the value of x.
A. 70
B. 30
C. 65
D. 40

Answers

Answer:

Option (A)

Step-by-step explanation:

From the figure attached,

By applying triangle sum theorem in ΔBCP,

m∠CBP + m∠CPB + m∠BCP = 180°

15° + 20° + m∠BCP = 180°

m∠BCP = 145°

m∠ACB + m∠BCP = 180° [Linear pair of angles are supplementary]

m∠ACB + 145° = 180°

m∠ACB = 35°

Since, ∠ACB is the inscribed angle and AB is the intercepted arc.

Therefore, m(arc AB) = 2m(∠ACB)

m(arc AB) = 2 × 35°

                 = 70°

Therefore, Option (A) is the correct option.

Line ab and cd (if presented in the picture) are straight lines. Find x (the pictures are not scaled)

Answers

Answer:

[tex]x + 2x + 34 + 20 = 180 [/tex]

Answer:

x=42

Step-by-step explanation:

Statement Reason

1. m∠AOB = 180° —  Def. of straight ∠

2. m∠AOE + m∠EOF + m∠FOB = m∠

AOB      —-    Parts − whole Postulate

3. x + 2x+34° + 20° = 180°  —-   Substitution

4. x = 42°.  —- Algebra

This is statement and reason! (no problem rsm people)

What is the value of x that makes the given equation true?
2(x−8)=x+5x

a x=-4
b x=-16
c x=-2
d x=0

Answers

Answer:

x = -4

Step-by-step explanation:

2(x−8)=x+5x

Distribute

2x - 16 = x+5x

Combine like terms

2x-16 = 6x

Subtract 2x from each side

2x-16 = 6x-2x

-16 = 4x

Divide by 4

-16/4 = 4x/4

-4 =x

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

[tex]\sf{2(x-8)=x+5x }[/tex]

[tex]\sf{2x-16=6x }[/tex]

[tex]\sf{2x-6x=16 }[/tex]

[tex]\sf{-4x=16 }[/tex]

[tex]\sf{ x=\dfrac{16}{-4} }[/tex]

[tex]\sf{x=-4 }[/tex]

[tex]\sf{ }[/tex]

An experiment consists of rolling a six sided die to select a number between between 1 and 6 and drawing a card at random from a set of 10 cards numbered 1,2,3,...10. Which event definition corresponds to exactly one outcome of the experiment?

Answers

Answer:

Man this is confusing

Step-by-step explanation:

Consider the following 8 numbers, where one labelled
x
is unknown.
12, 46, 31,
x
, 49, 24, 41, 14
Given that the range of the numbers is 63,
work out 2 values of
x
.

Answers

Put the data set in order:

12, 14, 24, 31, 41, 46, 49

In order to find a value of x using the range, x has to be on either end of the data set. Meaning:

x, 12, 14, 24, 31, 41, 46, 49 or 12, 14, 24, 31, 41, 46, 49, x

Since the range is the highest value minus the lower value, you can set two equations for x:

x - 12 = 63

x = 75

49 - x = 63

x = -14

Thus, x = 75, -14

Two values of x are -14 & 75

What is range of numbers ?

The difference between highest and lowest numbers of the set of numbers is called the range of numbers.

What are the values of x ?

The given values are 12, 46, 31, 49, 24, 41, 14

Arranging all the values in ascending order we get,

12, 14, 24, 31, 41, 46, 49

If x will be included, then x is in the 1st position or in the last position.

Then the values are x, 12, 14, 24, 31, 41, 46, 49 or 12, 14, 24, 31, 41, 46, 49, x

The range of the number is 63

So, we get two equations from it.

1 ) 49-x = 63

2 ) x-12 = 63

Solving eq. (1) we get, x = 49-63 = -14

Solving eq. (2) we get, x = 63+12 = 75

So the values of x are -14 & 75

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What is the measure of n

Answers

Answer:

n = [tex]\sqrt{32}[/tex]

Step-by-step explanation:

The 2 right triangles inside the larger right triangle are similar , so corresponding sides are in proportion

[tex]\frac{8}{n}[/tex] = [tex]\frac{n}{4}[/tex] ( cross- multiply )

n² = 32 ( take the square root of both sides )

n = [tex]\sqrt{32}[/tex]

What are the x-intercepts of the parabola?
A: (4.5, 0) and (5, 0)
B: (0, 4.5) and (0, 5)
C: (0, 5) and (0, 4)
D: (5, 0) and (4, 0)​

Answers

Answer:

D: (5, 0) and (4, 0)

Step-by-step explanation:

The x-intercepts of a parabola are the points where the parabola intersect the x-axis (horizontal axis). Therefore, the y-value of the x-intercepts are always 0. Since coordinates are written (x, y), we can immediately eliminate answers B and C.

Next, we look at the x-coordinates of where the parabola intersects the x-axis. We can see clearly that the parabola crosses the x-axis at [tex]x=4[/tex] and [tex]x=5[/tex]. Therefore, the x-intercepts of the given parabola are (4, 0) and (5, 0).

HELP QUICK PLEASE!

Given: AC BD and AD BC
B
D
What postulate could prove DCA ACDB
O Side-Side-Side
O Side-Angle-Side
Angle-Side-Angle
Angle-Angle-Side

Answers

Answer:

Step-by-step explanation:

Side - side - side. In fact the two triangles have the side CD in common

Which expression is equivalent to 6(3n-4)?
1)9n-10
2)18n-24
3)18n-4
4) 3n-24

Answers

Answer:

[tex]18n - 24[/tex]

Step-by-step explanation:

[tex]6(3n - 4) = 18n - 24[/tex]

Answer:

18n-24

Step-by-step explanation:

6(3n-4)

Open the brackets .......

(6×3n)-(6×4)

=18n_24

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