Anne solved 5(2x−3)=20x+15 for x by first multiplying 5 and 2x on the left side of the equation. She got the answer x = −95. When she substituted −9/5 into the original equation her answer was incorrect. Explain Anne’s error, and find the correct answer.

Answers

Answer 1

Answer:   x=-3

Step-by-step explanation:

Anne's error is that she only multiplies 5 and 2x on the left side, she needs to multiply 5 and 2x, and also that she needs to multiply 5 and -3.

5(2x−3)=20x+15

5(2x) + 5(-3) = 20x + 15

10x - 15 = 20x + 15

-10x - 15 = 15

-10x = 30

x = -3


Related Questions

Find the coordinates of the center of this circle: (x - 9) ^ 2 + (y + 4) ^ 2 = 16

Answers

Answer: center is (9, -4)

Step-by-step explanation:

Five times a number is 28 greater than the product of the number and -2. Find the number

Answers

Answer:

4

Step-by-step explanation:

Let the unknown number be x

Five times the number is expressed as 5x  

28 greater than the product of the number and -2 is expressed as;

28 + (-2x)

Equating both expressions

5x = 28 + (-2x)

5x = 28 - 2x

5x+2x = 28

7x = 28

x = 28/7

x = 4

Hence the number is 4

the product of two and a number, divided by five

Answers

Answer:

10

Step-by-step explanation:

2×5=10.

10÷2=5

That should be the answer.

There are 14 penguins on the rocks. Half as many are swimming. How many are in the water? How many in all?

Answers

Answer:

7 penguins are in the water.

21 penguins in all.

Step-by-step explanation:

14 penguins on the rocks.

Half of them equals 7 are in the water swimming.

7 + 14 = 21

7 penguins are in the water.

21 penguins in all.

The number of penguins in water = 7 penguins

The total number of penguins  = 21 penguins


What are word problems?

Word problems in mathematics involve a crucial understanding of solving real-life cases with the use of arithmetic operations.

From the information given:

There are 14 penguins on the rock.Half as many are swimming implies that: 7 of them are swimming

Thus, the number of penguins in water = 7 penguins

The total number of penguins overall = penguins in water + penguins on the rock

The total number of penguins overall = 7 + 14

The total number of penguins overall = 21 penguins

Learn more about word problems here:

https://brainly.com/question/25693822

A boat traveled 12 miles north and then
22.5 miles east. What is the shortest
distance the boat must travel to return
to its starting point?

Answers

Answer:

25.5 mi

Step-by-step explanation:

12 22.5  X

Let X be the shortest distance we are trying to find.

a units 2 b units 2 c units 2

12 units 2 + (22.5)=c units 2

144+506.25=c units 2

650.25=c units 2

[tex]\sqrt{x} 650.25[/tex]=c units 2

25.5

what is the distance between (-6-4) and (-5,-4)​

Answers

Step-by-step explanation:

take as if this points are on a line segment AB

Dab = square root of ( xa - xb) ^2 + ( y a- yb) ^2

= square root of [ (-6) - (-5) ]^2 + [ (-4) - (-4) ]^2

= square root of (-1)^2 + (0)^2

= square root of 1 + 0

= square root of 1

= 1 units

The distance from AB is 1 unit

picture explains everything ty

Answers

Answer:

between B and D.

probably D because is periodic and the line is not continuous.

Then, between the units 4 (max) and 6 (min) is decreasing

Lily has $18. Matt has twice as much of a third of the amount that Lily has, and
Carolyn has $23 more than Matt has. How much money does Carolyn have?
$

Answers

Answer:

$35

Step-by-step explanation:

Answer:

he has $35 left

Step-by-step explanation:

The dimensions of a right rectangular prism are 8/5 cm, 10/3 cm, and 7/4 cm. What is the volume of the prism?

Answers

Answer:[tex]9.33\ cm^3[/tex]

Step-by-step explanation:

Given

The dimension of the prism is

Length [tex]l=\frac{8}{5}\ cm[/tex]

width [tex]w=\frac{10}{3}\ cm[/tex]

height [tex]h=\frac{7}{4}\ cm[/tex]

The volume of Prism is  [tex]V=l\times w\times h[/tex]

Putting values

[tex]\Rightarrow V=\dfrac{8}{5}\times \dfrac{10}{3}\times \dfrac{7}{4}=\dfrac{560}{60}=9.33\ cm^3[/tex]

HELLLL I’ll give Brainlist

Answers

Helium if I was you I would have chooses helium haha

What is:
1/4 (q-12) + 1/4 (q-4)
simplified??

Answers

Answer: -b - 9

Step-by-step explanation:

First, since the a cancel eachother out we are left with (4-b) + (-6-7)

Second, you want to add the -6 and -7 to get -13, so (4-b) - 13

Finally, add the 4 to the negative 13 to get (-b - 9)

Hope this helps.

Ben has a piece of plywood that measures 1 yard on each side.He cuts the wood into 6 equal pieces.Each piece is 1/3 yard wide and 1/2 yard long.What is the area of each piece that Ben cuts?

Answers

Answer:

The area is "[tex]\bold{\frac{1}{6}}[/tex]".

Step-by-step explanation:

In this question, to understand the problem we use the model, that  Begins with drawing squares from each side which is 1 yard, and divides these as defined throughout the problem. To fix the issue, using the given model, please find the attached file.

Calculating the area of the one-piece:

[tex]=\frac{1}{2} \times \frac{1}{3}\\\\=\frac{1}{2\times 3}\\\\=\frac{1}{6}\\\\[/tex]

Need help please! I added a picture for the question need help ASAP!

Answers

Answer:

36%

Step-by-step explanation:

Tried it with 100 as a base and got to 36. Should be right :)

Answer:

He had not sold 90%

Step-by-step explanation:

make everything a percent. 20%+20%+25%+25%. Then subtract the total by 100% and get 90%

What is the equation of the line that passes through the point (-3, 1) and has a
a slope of - 2?

Answers

Y = -2x + b
Plug in the point
1 = -2(-3) + b
1 = 6 + b, b = -5
Solution: y = -2x - 5

what is the product of 4(y)= and
4(5)=

pls answer fast

Answers

Step-by-step explanation:

4(5) is 20 bit im not sure exactly what your other question is asking!!?

simplify. draw a box. multiply the binomials together and simplify.

Answers

Answer:

D(last answer choice)

Step-by-step explanation:

(5x-6)(3x+4)

Foil it out to get:

[tex]15x^2+20x-18x-24[/tex]

This simplifies to:

[tex]15x^2+2x-24[/tex]

X
Review -
Bookmark
of 15
Jordan earns $11.35 per hour and works 40 hours per week. He then earns a 20% pay raise. How mu
ch money will Jordan now make each week?

Answers

Answer:

He would be making 544.8$ each week

Step-by-step explanation:

In ΔUVW, the measure of ∠W=90°, UV = 6.2 feet, and WU = 1.2 feet. Find the measure of ∠V to the nearest tenth of a degree

Answers

Answer:

11.2

Step-by-step explanation:

The answer is 11.2 degree

There are 10 marbles in a bag : 5 red and 5 blue she draws a marble from the bag at random. The marble is red. She put the marble back into the bag. What is the probability that next marble she draws at random is red ?

Answers

Answer:

1/ 2

Step-by-step explanation:

Given that:

Number of marbles, = 10

Number of Red marbles = 5

Number of Blue marbles = 5

Probability, p = required outcome / Total possible

Probability of picking a red marble :

Required outcome = number of red marbles = 5

Total possible outcomes = total number of marbles = 10

Hence,

Probability of picking a red marble, P(picking a red marble) = 5 / 10 = 1/2

Rewrite as a product of two factors: 3 + 18d + 21y​

Answers

Answer:

[tex] \huge { \red{\boxed{ \boxed{ \tt \: 3(1 + 6d + 7y)}}}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:factoringlet's solve:

in the following expression

everytime 3 is common

(3×1)+(3×6d)+(3×7d)

therefore if you take 3 from every expression we get

3(1+6d+7y)

which is a product of two factors

Find the interest earned from an investment of $14000 for 4 years at an interest rate of 6.85% compounded continuously. Round to the nearest cent.

Answers

Answer:

$4242

Step-by-step explanation:

Given data

Principal=  $14000

TIme = 4 years

Rate= 6.85%

Let us find the final amount A

A=P(1+r)^t

substitute

A=14000(1+0.0685)^4

A=14000(1.0685)^4

A=14000*1.303

A=$18242

Hence the interest is

Interest= Final amount-Principal

=18242-14000

=$4242

question is in picture i forgot how to do this and my sister is working on it rn anyone help?

Answers

Answer:

it's A.

Step-by-step explanation:

so basically an open circle means < or >

a closed circle (the filled in one) means greater/least than or equal to

the sign > with an equal sign under it

hope this helps I forgot too for a minute lol

a=4

3 + a + 7 - 5 + 10 + a -a=

Answers

3 + 4 + 7 - 5 + 10 + 4 - 4 = 21

Answer:

3+4+7-5+10+4-4=19

Step-by-step explanation:

3+a=3+4+7-5+10+a=10+4-a=10+4-4=19

GIVING BRAINLIST!!!
Danielle borrows $2.500 from the bank at 6%
simple interest for 5 years. How much is
Danielle going to pay in interest?
6. (Show work there)
all

Answers

Answer:

150

2.500/6%

not 100% sure tho

Answer:  1 = 2,500 x 0.06 x 5

mathematical literacy
[tex]79 \times 85[/tex]

Answers

Answer:

6715

Step-by-step explanation:

I hope this helps, :)

Ayyy bro so it’s 6715, you could of done this On a calculator

Determinan las siguientes tablas muestran magnitudes directamente correlaciones o directamente proporcionales

Answers

Responder:

Los cuadros 89 y 91 presentan proporcionalidad directa

El cuadro 90 muestra una correlación directa.

Explicación paso a paso:

De la imagen adjunta:

Cuadro 89:

Para mostrar proporcionalidad directa:

y α x

y = kx; k = constante de proporcionalidad

Comprobando las tablas:

Cuadro 89:

A = 1,5; B = 3

B = kA; 3 = 1.5k

k = B / A

k = 3 / 1,5 = 2

Usando k = 2;

demuestre que B = 4 cuando A = 2; para establecer proporcionalidad directa.

B = 2 * 2 = 4

Por tanto, el cuadro 89 exhibe proporcionalidad directa

Comprobando las tablas:

Cuadro 90:

C = 2; D = 8

D = kC; 8 = 2k

k = 8/2 = 4

Usando k = 4;

demuestre que D = 9 cuando C = 3; para establecer proporcionalidad directa.

B

D = 4 * 3 = 12

De la tabla, D = 9;

Por tanto, el cuadro 90 presenta una correlación directa pero no una proporcionalidad directa.

Comprobando las tablas:

Cuadro 91:

E = 1; F = 1/2

F = kE; 1/2 = k

k = 1/2

Usando k = 1/2;

demuestre que F = 3/2 cuando E = 3; para establecer proporcionalidad directa.

F = 1/2 * 3 = 3/2

Por tanto, el cuadro 91 presenta proporcionalidad directa.

This figure is made up of two rectangular prisms.

What is the volume of the figure?

10 ft 3ft 6ft 12ft 19ft

Answers

The volume of the figure is 2052ft

Nigel has 66 pens kat has 1/3 of the number of pens Nigel have calculate the number of pens that have altogether

Answers

If Nigel has 66 pens and Kat has 1/3 pens of Nigels than you would have to find 1/3 of 66 which is 22
Then you would add 66+22=88
They have 88 pens altogether


Hope this helps :)

PLEAS HELP ASAP 30 POINTS!!!
An incomplete proof of cosθsinθ/1+sinθ=tanθ(1-sinθ) is shown.
Which of the following expressions could be used to complete the third step pf the proof?

Answers

Answer:

C

Step-by-step explanation:

Take a look at the RHS of the 2nd step, the denominator -- 1-sin²∅ = cos²∅

We come up to the conclusion of C

What is categorical data

Answers

Answer:

Categorical variables represent types of data which may be divided into groups. It can not measure.

Step-by-step explanation:

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