Find the error and show the correct solution.
1
5x –9 = -2(x-3)
5x-9 = -2x + 5
7x = 14
x = 2

Answers

Answer 1

15/7

Step-by-step explanation:

The error is in :

[tex] - 2(x - 3)[/tex]

It was expanded as -2x +5 which was wrong

Correct solution

[tex]5x - 9 = - 2(x - 3) \\ 5x - 9 = - 2x + 6 \\ 5x + 2x = 6 + 9 \\ 7x = 15[/tex]

[tex] \frac{7x}{7} = \frac{15}{7} \\ \\ x = 2 \frac{1}{7} [/tex]


Related Questions

Evaluate each expression 9+2(4)

Answers

Answer:

your answer is 17

Mendel crossed peas having round seeds and yellow cotyledons (seed leaves) with peas having wrinkled seeds and green cotyledons. All the F1 plants had round seeds with yellow cotyledons. Based on this cross, what is the probability that an organism in the F2 generation will have round seeds and green cotyledons and be true breeding? Mendel crossed peas having round seeds and yellow cotyledons (seed leaves) with peas having wrinkled seeds and green cotyledons. All the F1 plants had round seeds with yellow cotyledons. Based on this cross, what is the probability that an organism in the F2 generation will have round seeds and green cotyledons and be true breeding? 1/16 1/32 1/8 1/4

Answers

Answer:

1/16

Step-by-step explanation:

This question involves two distinct genes; one coding for seed shape and the other for cotyledon color. The alleles for round seeds (R) and yellow cotyledons (Y) are dominant over the alleles for wrinkled seed (r) and green cotyledon (y) respectively.

In a cross between a truebreeding (i.e. same alleles for both genes) pea having round seeds and yellow cotyledon (RRYY) and a truebreeding pea having wrinkled seeds and green cotyledon (rryy), the F1 offsprings will all possess a heterozygous round seed and yellow cotyledon (RrYy).

The F1 offsprings (RrYy) will produce the following gametes: RY, Ry, rY, and ry. Using these gametes in a punnet square (see attached image), 16 possible offsprings will be produced in a ratio 9:3:3:1.

According to the question, 3/16 of the F2 offsprings will possess round seeds and green cotyledons, however, only 1 of them will be truebreeding i.e. RRyy. Hence, 1/16 of the F2 offsprings will be truebreeding for round seeds and green cotyledons.

Roman is considering buying shares of GHI stock. The stock currently sells for $60 per share. The stock changes in value at 8:00 am each day, either increasing in value by $10 or decreasing in value by $1. The stock will increase in value with 90% probability, and decrease in value with 10% probability. The stock follows a random walk. In three days, what is the probability that GHI is less than $70?

Answers

Answer:

The Probability that the GHI is less than $70 in three days is 1% or 0.01

Step-by-step explanation:

Here, we want to find the probability that the GHI is less than $70.

So what we do here is to find the scenarios that could make the $60 less than $70 is three days;

Scenario 1;

Two days decrease and one day increase

That will bring the value to 60 -1-1 + 10 = $68 which is less than 70

Scenario 2;

Three days decrease

That will bring the value to

60-1-1-1 = 57 which is less than 70

Any other possible scenario to make the value of the share less than 70? NO !

For the 1st case scenario;

Two days decrease and one day increase;

The scheduled probabilities will be as follows;

Kindly recall, probability of increase = 90% = 90/100 = 0.9

Probability of decrease = 10% = 10/100 = 0.1

So probability in scenario 1 will be;

P(Two days decrease and one day increase)

= 0.1 * 0.1 * 0.9 = 0.009

Kindly note this can happen in any order and since no order was specified, we do not need to consider other cases

Scenario ii

Three days decrease

That will be;

P(three days decrease) = 0.1 * 0.1 * 0.1 = 0.001

So the addition of both since we will be having either of the two and or means addition in probability will be ;

0.001 + 0.009 = 0.01 = 1%

The product of two consecutive negative even integers is 24. What is the smaller of the two numbers?
A. -6
B. -5
C. -4
D. -2
E. 4

Answers

Answer:

The smaller one is -6, the bigger one is -4.

Step-by-step explanation:

Answer:

A. -6

Step-by-step explanation:

Is the square root of 85 a rational number

Answers


Since 85 is not a perfect square, it is an irrational number. This means that the answer to "the square root of 85?" will have an infinite number of decimals.

M = { }
N = {6,7,8,9,10}
M n N =​

Answers

M n N is a null set (∅). They do not have any of the same elements.

A bus makes a stop at 2:30, letting off 13 people and letting on 5. The bus makes another stop ten minutes later to let off 4 more people. How does the number of people on the bus after the second stop compare to the number of people on the bus before the 2:30 stop?

Answers

Answer:14

Step-by-step explanation:

13+5-4=14 No 1 more person got on.

Obtain an expression that looks like this: 25+ 4 А B. X(S) = + s(s +6) S +6 S
A= ___________
B =____________

Answers

Answer:

[tex]A = \frac{2}{3}[/tex]

[tex]B = \frac{4}{3}[/tex]

Step-by-step explanation:

Given

[tex]X(s) = \frac{2s + 4}{s(s +6)}= \frac{A}{s} + \frac{B}{s + 6}[/tex]

Required

Find A and B

The expression can be rewritten as

[tex]\frac{2s + 4}{s(s +6)}= \frac{A}{s} + \frac{B}{s + 6}[/tex]

Take LCM of the right hand side

[tex]\frac{2s + 4}{s(s +6)}= \frac{A(s + 6 )+ Bs}{s(s +6)}[/tex]

Cancel out the denominators

[tex]2s + 4 = A(s + 6) + Bs[/tex]

Open Bracket

[tex]2s + 4 = As + 6A+Bs[/tex]

Reorder

[tex]2s + 4 = As +Bs+ 6A[/tex]

By direct comparison:

[tex]2s = As + Bs[/tex]

[tex]4 = 6A[/tex]

Solving [tex]2s = As + Bs[/tex]

Divide through by s

[tex]2 = A + B[/tex]

Solve for A in [tex]4 = 6A[/tex]

[tex]\frac{4}{6} = A[/tex]

[tex]A = \frac{4}{6}[/tex]

[tex]A = \frac{2}{3}[/tex]

Substitute [tex]\frac{2}{3}[/tex] for A in [tex]2 = A + B[/tex]

[tex]2 = \frac{2}{3} + B[/tex]

[tex]B = 2 - \frac{2}{3}[/tex]

LCM

[tex]B = \frac{6 - 2}{3}[/tex]

[tex]B = \frac{4}{3}[/tex]

Is 5.14 rational or irrational

Answers

Answer:

5.14 is irrational

Step-by-step explanation:

This is irrational because it is a decimal and/or a fraction, and a rational number is a whole number such as 1, 7, 32.

The measue of the supplement of an angle 20° more than three times the measure of the original angle. Find the measures of the angles.
1. The sum of the measures of the two angles is:​

Answers

Answer:

x = orgininal angle

3x +20 = supplementary angle

1. x + (3x+20) = 180

2. 4x + 20 = 180

3. 4x = 160

4. x = 40

The orginial angle is 40

The supplementary angle is 140

Step-by-step explanation:

1. define your varibles using the words given

2. add them together to equal 180, because they are supplmentary.

3. combine like terms.

4. subtract 20

5. divide by 4

6. you find x, now plug it back into your variables at the top:

x = 40

3(40) + 20 = 140

Suppose a game show called Bayesian Boxes has the contestant sample one marble from a box and guess what type of box it is. When the contestant picks a box, the chance of each box type for this round is as follows: Type A: 75%, Type B: 20%, and Type C: 5% The chance of drawing a red marble from Type A is 2%, from Type B is 25%, and from Type C is 98%. The contestant selects a box and draws a marble. What is the chance of drawing a red m

Answers

Answer:

P(C/R) = 0.4298

Step-by-step explanation:

Missing word "arble, what is the chance it came from box Type C? (Give the decimal answer rounded to at least four places )"

Solution:

Given that P(A) = 75% = 0.75

P(B) = 20% = 0.20

P(C) = 0.05

The chance of drawing a Red marble fro,

P(R/A) = 2% = 0.02

P(R/B) = 25% = 0.25

P(R/C) = 98% = 0.98

If he select Box A than the probability of Red marble drawing

= P(A) * P(R/A)

= 0.75 * 0.02

= 0.015

If he select Box  B than the probability of Red marble drawing

= P(B) * P(R/B)

= 0.20 * 0.25

= 0.5

If he select Box C than the probability of Red marble drawing

= P(C) * P(R/C)

= 0.98 * 0.05

= 0.049

So total probability of drawing Red marble is

P(R) = 0.015 + 0.050 + 0.049

P(R) = 0.114

If the Contestant draw a Red marble. Probability that it comes from box type (C) using Boyes theorem is

P(C/R) = {P(C) * P(R/C)} / P(R)

P(C/R) = 0.049 / 0.114

P(C/R) = 0.429824

P(C/R) = 0.4298

1) (−12) + 7 what is the answer to this problem

Answers

The answer to the problem is -5
-5 if you add you go closer to positive if you subtract you go farther negative

PLEASE HELP!! I WILL AWARD BRAINLIEST AND 50 POINTS!!!!!!!!!!!!!!!!!!!!!! For the given picture: a) List all of the triangles that are already drawn in the picture without changing it. b) For each triangle, list the exterior angle(s) that are already drawn in the picture without changing it. c) For each of the exterior angles in part (b), identify its remote interior angles in the corresponding triangle(s).

Answers

Answer:

There are 4 triangles. For the exterior and remote interior, I’m naming the angles with three letters.  If your teacher just wants one, it would be the middle one.  (I assume they’ll want all three, since the letters just name points, not angles.)

1) A) Name of triangle: ABO

B) Exterior AngleS: EAO, BOC and AOD

C) Remote Interior Angles: For EAO, it’s ABO and AOB.  For BOC, it’s BAO and ABO. For AOD, it’s BAO and ABO

2) A) Name of triangle: ABC

B) Exterior Angles:EAC

C) Remote Interior Angles: ABO and BCO

3) A) Name of triangle: DOC

B) Exterior Angles: ODH, DOA, COB, and OCG

C) Remote Interior Angles: For ODH, it’s DOC and COD.  For DOA, it’s ODC and DCO. For COB, it’s ODC and DCO.  For OCG, it has CDO and DOC

4) A) Name Of triangle: COB

B) Exterior Angles: AOB, DOC, and OBF

C) Remote Interior Angles: For AOB, it’s OBC and OCB. For DOC, it’s OBC and OCB.  For OBF, it’s BOC and OCB

Step-by-step explanation:

There are 4 triangles. For the exterior and remote interior, I’m naming the angles with three letters.  If your teacher just wants one, it would be the middle one.  (I assume they’ll want all three, since the letters just name points, not angles.)

1) A) Name of triangle: ABO

B) Exterior AngleS: EAO, BOC and AOD

C) Remote Interior Angles: For EAO, it’s ABO and AOB.  For BOC, it’s BAO and ABO. For AOD, it’s BAO and ABO

2) A) Name of triangle: ABC

B) Exterior Angles:EAC

C) Remote Interior Angles: ABO and BCO

3) A) Name of triangle: DOC

B) Exterior Angles: ODH, DOA, COB, and OCG

C) Remote Interior Angles: For ODH, it’s DOC and COD.  For DOA, it’s ODC and DCO. For COB, it’s ODC and DCO.  For OCG, it has CDO and DOC

4) A) Name Of triangle: COB

B) Exterior Angles: AOB, DOC, and OBF

C) Remote Interior Angles: For AOB, it’s OBC and OCB. For DOC, it’s OBC and OCB.  For OBF, it’s BOC and OCB

PLEASE HELPPPPPPPPPP The ratio of picnic tables to garbage cans
in a new national park should be 8:3.
The park design shows plans for picnic
tables in a small campground and a
large campground. How many garbage
cans should there be in each campground?


Answers

so, here’s the work. Try to change it a bit so it doesn’t look like you copied lol

13. The perimeter P (in yards) of a soccer field is represented by the formula P = 24 + 2w,

where & is the length (in yards) and w is the width (in yards).

a. Solve the formula for w.

P= 330 yd

b. Find the width of the field.

c. About what percent of the field

is inside the circle?

doc

10 yd

- 100 yd

Answers

Answer:

[tex]w = \frac{1}{2}(P - 24)[/tex]

[tex]w = 153\ yards[/tex]

Step-by-step explanation:

Given

[tex]P = 24 + 2w[/tex]

Require

Solving (a):

[tex]P = 24 + 2w[/tex]

Subtract 24 from both sides

[tex]P-24 = 24-24 + 2w[/tex]

[tex]P-24 = 2w[/tex]

Divide both sides by 2

[tex]\frac{1}{2}(P - 24) = \frac{2w}{2}[/tex]

[tex]\frac{1}{2}(P - 24) = w[/tex]

[tex]w = \frac{1}{2}(P - 24)[/tex]

Solving (b):

Substitute 330 for P un the expression in (1)

[tex]w = \frac{1}{2}(330 - 24)[/tex]

Evaluate the bracket

[tex]w = \frac{1}{2}(306)[/tex]

[tex]w = 153\ yards[/tex]

Question c; seem irrelevant

It cost Brody $9.80 to send 196 text messages. How many text messages did he send if he spent $4.20? *

Answers

Answer:

84 text messages

Step-by-step explanation:

Set up a proportion and solve:

dollars / texts = dollars / texts

9.8 / 196 + 4.2 / x

9.8 * x = 4.2 * 196

9.8x = 823.2

9.8x / 9.8 = 823.2 / 9.8

x = 84

Brody would have sent 84 messages if he spent $4.20.

What is a Ratio?

A ratio indicates the number of times one number contains another.

Given that, the cost of sending 196 text messages is $9.80.

Therefore,

$9.80 = 196 messages

$1 = 196/9.80 messages

$4.20 = (196/9.80)×4.20 messages

$4.20 = 84 messages

Hence, Brody would have sent 84 messages, if he spent $4.20.

To learn more about ratios, click here:

https://brainly.com/question/13419413

#SPJ3

There are five digits in the number 35,024

Answers

Yes, yes there are, (3,5,0,2,4)
Yes, there are 5 digits in the number 35,024.

Solve for x in the equation x^2- 10x+ 25=35

Answers

Answer:

[tex]x = 5 + \sqrt{35} \: \: \:or \: \: \: x = 5 - \sqrt{35} \\[/tex]

Step-by-step explanation:

x² - 10x + 25 = 35

Move 35 to the left side of the equation

That's

x² - 10x + 25 - 35 = 0

x ² - 10x - 10 = 0

Using the quadratic formula solve the equation

That's

[tex]x = \frac{ - b\pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]

From the question

a = 1 , b = - 10 , c = - 10

Substitute the values into the above formula and solve

That's

[tex]x = \frac{ - - 10\pm \sqrt{( { - 10})^{2} - 4(1)( - 10) } }{2(1)} \\ = \frac{10\pm \sqrt{100 + 40} }{2} \\ = \frac{10\pm \sqrt{140} }{2} \\ = \frac{10\pm2 \sqrt{35} }{2} \\ = \frac{10}{2} \pm \frac{2 \sqrt{35} }{2} \\ = 5\pm \sqrt{35} [/tex]

We have the final answer as

[tex]x = 5 + \sqrt{35} \: \: \:or \: \: \: x = 5 - \sqrt{35} \\ [/tex]

Hope this helps you

PLZ HELP ASAP!! The volume of prism A is 630 in^3. What is the volume of prism B if it is the same height as prism A and every cross sectional area of prism A is equal to every cross sectional area of prism B at the same level ?

Answers

Answer:

[tex]Volume_B = 630in^3[/tex]

Step-by-step explanation:

Given

[tex]Volume_A = 630in^3[/tex]

Required

Determine [tex]Volume_B[/tex]

Volume is calculated as thus:

[tex]Volume = Height * Area[/tex]

From the question, we understand that both prisms have the same height and area;

This implies that

[tex]Volume_B = Volume_A[/tex]

Substitute [tex]630in^3[/tex] for [tex]Volume_A[/tex]

[tex]Volume_B = 630in^3[/tex]

Answer:

e.  630 in³

Step-by-step explanation:

ratio and proportion of volume with the same height:

vol A = 630

h = 21

Vol A = Vol B

   h            h

630 = Vol B

   21         21

Vol B = 630 (21)

               21

Vol B = 630 in³

Garrett must inspect a bridge that goes over a river. He begins 18 feet above water level to inspect the lighting, descends 32 feet to inspect the base of the bridge underwater, then descends another 4 feet to check on the concrete anchoring the base. Which best represents Garrett’s position with respect to the water level?

Answers

Answer:

–18 feet

Step-by-step explanation:

Answer:

-18

Step-by-step explanation:

In the function y = a(x – h)2 + k
which variable controls the horizontal shift?
1)H
2)K
3)A
4)X

Answers

Answer:

h is the horizontal shift

Step-by-step explanation:

y = a(x – h)^2 + k

This is the equation for a parabola in vertex form

The vertex is ( h,k) and it is shifted from (0,0)

h is the horizontal shift and k is the vertical shift

Answer:

H

Step-by-step explanation:

y=a(x-h)2+ka= Vertical stretch or shrinkage(IaI>1) or (0<a<1) h= Horizontal shift(x-h=0)x=hK= Vertical shifty-value* a+kadd k to the "new: values of y

h(x) = 4x + 5
g(x) = 3x + 5
Find (h + g)(-2)

Answers

Answer:

[tex]-4[/tex]

Step-by-step explanation:

So we have the two functions:

[tex]h(x)=4x+5\text{ and } g(x)=3x+5[/tex]

And we want to find:

[tex](h+g)(-2)[/tex]

This is the same as:

[tex]h(-2)+g(-2)[/tex]

Let's substitute them for their functions:

[tex]=(4(-2)+5)+(3(-2)+5)[/tex]

Multiply:

[tex]=(-8+5)+(-6+5)[/tex]

Add:

[tex]=-3-1[/tex]

Subtract:

[tex]=-4[/tex]

And we're done!

A child has a bottle full of pennies, nickels,dimes and quarters. There are twice as many quarters as pennies, four times as many nickels as pennies, and five times as many dimes as nickels. How many more dimes does the child have than quarters?

Answers

Answer:19x

Step-by-step explanation:

Take x as the value of pennies

If there are twice as many quarters as pennies then the explanation should be

Pennies =x

Quarters =2x

If there are 4 times as many nickels as pennies then the explanation is

Pennies =x

Nickels =4x

If there are 5 times as many dimes as nickels then the explanation is

Nickels =4x

Dimes=20x

So the values of them all is

Pennies =x

Nickels =4x

Dimes =20x

Quarters =2x

So to get how many more dimes does the child have than quarters you subtract

20x-2x=19x

The Number of dimes the child has more than quarters is; 10 times more.

Let number of pennies be P

Since he has twice as many quarters as pennies, then;

Number of quarters; Q = 2P

Four times as many nickels as pennies. Then;

Number of nickels; N = 4P

five times as many dimes as nickels. Then;

Number of dimes; D = 5N = 5(4P) = 20P

Since number of quarters = 2P

And number of dimes = 20P

Then;

Number of dimes the child has more than quarters is; 20P/2P = 10

Thus, the child has ten times as many dimes as quarters

Read more on proportion at; https://brainly.com/question/25640375

Evaluaters rs + 14s when r = 6 and s 1/4​

Answers

Answer:

5

Step-by-step explanation:

Plug is 6 for r and 0.25 for s

6(0.25)+14(0.25)

distribute

1.5+3.5=5

Hope this helps

HELP ASAP!!! help wanted fast

Answers

I think the answer will be C

number 3 please solve and explain

Answers

Answer: -12.5

Step-by-step explanation:

x(2y-3) and x=2.5 and y=-1

so you fix in the figures so it will turn to

2.5(-2-3)

so then you open the brackets with 2.5

-5-7.5

Answer: -12.5

Identify the common difference. -6, -3, 0, 3, 6....

Answers

The common difference is +3 because the numbers are growing therefore its going to be positive and -6+3= -3 and -3+3=0 and 0+3=3 and 3+3=6. I hope this answer could help:)


Sound travels at speed of 330 m/s. If a firecracker exploded 3675 m away from you, how long does it take the sound of the explosion to reach you?

Answers

Divide the 3675 to the 330 simple

10 times as many as 1 hundred is _____ hundreds are _____thousands.

Answers

10 hundreds or 1 thousand.  

Further explanation

This question is related to place values.

10 times as many as a number is 10 multiplies the number.

Hence, 10 times as many as 1 hundred is

\boxed{ \ 10 \times 1 \ hundred \rightarrow \boxed{ \ 10 \ hundreds \ } \ }

Furthermore, 10 hundreds have the same meaning as 1 multiplies 10 hundreds which can produce 1 thousand.

\boxed{ \ 1 \times 10 \ hundred \rightarrow \boxed{ \ 1 \ thousand \ } \ }

Quick steps

Part-1

\boxed{ \ 10 \times 1 \ hundred = X \ hundred \ }

\boxed{ \ 10 \ hundred = X \ hundred \ }

Thus, \boxed{\boxed{ \ X = 10 \ }}  

Part-2

\boxed{ \ 10 \times 1 \ hundred = Y \ thousand \ }

\boxed{ \ 10 \times 100 = Y \ thousand \ }

\boxed{ \ 1,000 = Y \ thousand \ }

\boxed{ \ 1 \ thousand = Y \ thousand \ }

Thus, \boxed{\boxed{ \ Y = 1 \ }}  

- - - - - - -  

Conclusions

10 times as many as 1 hundred is _10_ hundreds or _1_ thousand.  

Learn more  

9 ten thousands divided by 10 (in unit form) brainly.com/question/4786449

How do you write 770,070 in expanded form? brainly.com/question/4725342  

100 is ¹/₁₀ of what? brainly.com/question/96535  

Keywords: 10 times as many as 1 hundreds, hundreds, thousands, place value, operations, multiply, equal, blank, quick steps

B.s. is parallel to xy what is the value of x

Answers

Answer:

A. 85

Step-by-step explanation:

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