Leonardo is solving the equation 4 (x minus one-fifth) = 2 and two-thirds. His work is shown. Where is his error?

Answers

Answer 1

Answer:

Step 3

Step-by-step explanation:

Leonardo is solving the equation 4 (x minus one-fifth) = 2 and two-thirds. His work is shown. Where is his error?

Given :

4(x - 1/5) = 2 2/3

Open the bracket

4x - 4/5 = 2 2/3

Add 4/5 to both sides

4x - 4/5 + 4/5 = 8/3 + 4/5

Lcm of 3 and 5 = 15

4x = (40 + 12) / 15

4x = 40/15 + 12/15

4x = 52/15

Multiply by 1/4

4x * 1/4 = 52/15 * 1/4

x = 52 / 60

x = 13 / 15

Hence, the error is in step 3

15/5 * 3 = 12

Rather ; Leonardo wrote 16

Leonardo Is Solving The Equation 4 (x Minus One-fifth) = 2 And Two-thirds. His Work Is Shown. Where Is

Related Questions

in how many ways can alice distribute 12 apples to 3 children? each child has to have AT LEAST 1 apple.

Answers

Answer:

I think it would be 4 apples for each of them !

Step-by-step explanation:

its division. you had to do 12 ÷ 3

Answer:

The answer is 4 apples per child.

Step-by-step explanation:

If we have 12 apples and 3 children we write as a ratio like this:

12:3

So we have to figure out how many apples each child gets to have.

Next, we cancel out 3 from 12 and 3 which becomes:

4:1

So each child gets 4 apples.

I hope this helps!

Someone help me with these math problems please !! (It is not obligatory to put the explanation so I save time and you will answer me more quickly please!

Answers

Answer:

I don't know the selection options, so please pick them from the explanation below.

Step-by-step explanation:

"like terms" are in this contexts in one group all expressions with x, and in another group all expressions without x.

so,

3x and -2x/9

3x - 2x/9 = 27x/9 - 2x/9 = 25x/9

-1/5 ... = 124/5

... = 125/5 = 25

so, we end up with

25x/9 = 25

x/9 = 1

x = 9

Jill has just moved to a new town and wants to share plates of baked goods with her neighbors. She has 20 cookies and 12 brownies to share, and wants to split them equally among the plates with no food left over. What is the greatest number of plates she can make to share?

Answers

Answer:

4

Step-by-step explanation:

The greatest number of plates Jill can split the 20 cookies and 12 brownies into can be determined by calculating the highest common factor and 20 and 12

Factors of 12 = 1, 2, 3, 4, 6, 12

Factors of 20 = 1, 2,4, 5, 10, 20

Solve the equation and enter the value of x below. x(8 + 9) = 34​

Answers

[tex] \huge\boxed{\mathfrak{Answer}}[/tex]

[tex]x(8 + 9) = 34 \\ 8x + 9x = 34 \\ 17x = 34 \\ x = \frac{34}{17} \\ x = 2[/tex]

=> The answer is 2.

Does anyone know what graph is correct?

Answers

First graph is the correct one.

when x= 1

y=f(x) = -√1 = -1

when x= 2

y= -√2

The third wait no the first actuality it’s the second one

Which of the following CANNOT be assumed from this image?

Answers

Answer:

that he lines are not going strait

Step-by-step explanation:

What values of x make this true?
(x^2–3x+2)/(x –1) = x – 2

Answers

Answer:

Any value of x makes the equation true. All real numbers Interval Notation: ( − ∞ , ∞ )

Hope This Helps!!!

Which number line represents the solution set for the inequality-1/2x>_4

Answers

Answer:

B

Step-by-step explanation:

Firstly, we solve for x

-x ≥ 2 * 4

-x ≥ 8

Multiply both sides by -1

x ≤ -8

So we look at the inequality represented by this;

We can see that the correct inequality is option B;

Between the numbers 15/20 and 35/40 , the greater number is
a. 15/20 b. 20/15 c. 35/40 d. 45/30

Answers

Answer:

35/40

Step-by-step explanation:

To compare, both denominator should be same.

[tex]\frac{15}{20}=\frac{15*2}{20*2}=\frac{30}{40}\\\\\\\frac{30}{40} \ < \ \frac{35}{40}\\\\\\\frac{15}{20} \ < \ \frac{35}{40}[/tex]

[tex]\sf{\bold{\blue{\underline{\underline{Given}}}}}[/tex]

⠀the numbers 15/20 and 35/40⠀⠀⠀

[tex]\sf{\bold{\red{\underline{\underline{To\:Find}}}}}[/tex]

⠀⠀⠀⠀

the greater number is

[tex]\sf{\bold{\purple{\underline{\underline{Solution}}}}}[/tex]

we have to find the greater number between 15/20 and 35/40

To do this,

we have to compare the denominator same.

[tex]\sf{\dfrac{35}{40}=\dfrac{35×1}{40×1}=\dfrac{35}{40} }[/tex]

[tex]\sf{\dfrac{15}{20}=\dfrac{15×2}{20×2}=\dfrac{30}{40} }[/tex]

According to the question,

we have to find the greatest one

[tex]\sf{\dfrac{35}{40} > \dfrac{30}{40} }[/tex]

[tex]\sf{\dfrac{35}{40}>\dfrac{15}{20} }[/tex]

[tex]\sf{\bold{\green{\underline{\underline{Answer}}}}}[/tex]

⠀⠀

[tex]\therefore\mathrm{\dfrac{35}{40} > \dfrac{15}{20} }[/tex]

⠀⠀

Please help me ASAP! and thank you

Answers

Answer:

214°

Step-by-step explanation:

Full circle measure = 360°

Measure of arc AB = 146° (central angle has the same measure as measure of intercepted arc)

Therefore:

Measure of arc ACB = 360° - arc AB

Measure of arc ACB = 360° - 146°

= 214°

In the history of Major League Baseball, the most valuable player award has been won by players from 7 different countries. which countries were they

Answers

Answer:

United States, Canada, Dominican Republic, Cuba, Venezuela, Japan, Panama

Step-by-step explanation:

Taking a look at a list of Major League Baseball most valuable players, the countries are:

United States(most players are US-born).

Canada(Joey Votto in 2010).

Dominican Republic(Albert Pujols and Vlad Guerrero Sr. for example).

Cuba(last Jose Abreu in 2020)

Venezuela(last Jose Altuve in 2017)

Japan(Ichiro in 2001).

Panama(Rod Carew)

Can someone help me with this math homework please!

Answers

Answer:

Step-by-step explanation:

Using the approximation of 5 miles = 8 km


How many km is 22.5 miles?

Answers

Answer:

22.5÷5= 4.5

4.5×8= 36

Step-by-step explanation:

22.5÷5=4.5

4.5×8=36

Answer:

36.21024  km are in 22.5 miles you can figure this out because you multiply the length value by 1.609

Which statement is not always true for a parallelogram?
A. Consecutive angles are supplementary.
B. Diagonals are congruent.
C. Opposite sides are congruent.
D. Opposite angles are congruent.

Answers

Answer: B. Diagonals are congruent.

Explanation:

If the diagonals are congruent, then we'd have a rectangle. Any rectangle is a parallelogram, but not the other way around.

If we had a non-rectangular parallelogram, with none of the angles 90 degrees, then the diagonals will not be the same length.

Choices A, C and D are true for any parallelogram (rectangle or not).

Match each percent with the fraction or decimal equivalent. 5% 0.25 15% 0.07 6.5% 1 20 25% 0.065 7% 3/20​

Answers

Answer:

5% = 1/20

15% = 3/20

6.5% = 0.065

25% = 0.25

7% = 0.07

Step-by-step explanation:

I hope this helps! Just ask me if you have any questions.

Have a nice dayy! :)

Answer:

.05  25%  .15  7% .065  100% 2000% .25

Step-by-step explanation:

Percentages to decimals :

example  

5% = .05

First remove the % sign: 5

Where is the decimal? Here : 5.00

Now move the decimal to the left two places. Fill the gaps with zeros : .05

Another way to do it is by divide the number by 100. Use a calculator if necessary.

Example 2: 6.5%

Move decimal two places to left: .065

Example 3: .56%

Move decimal to places to the left:  .0056

Decimals to percentages. Do the exact opposite. Move decimal to places to the right then add the % sign.

Example: .25 becomes 25%

                .07 becomes 07% or just 7%

Solve for X (line a and b parallel)

Answers

Answer:

x=29°

Step-by-step explanation:

as lines are parallel.

external alternate angles are equal.

7x-86=4x+1

7x-4x=1+86

3x=87

x=87/3=29

Cans of soda at a local store a six-pack of soda costs $2.59 and indivdual cans cost $0.80. What is the maximum of cans of soda that can be purchased for $15​

Answers

Answer:  30 cans (buy them by the six-pack; so you'd buy 5 six-packs)

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

Explanation:

Let's say you buy six-packs only. Divide the amount of money you have over the cost per six-pack.

15/(2.59) = 5.7915 which rounds down to 5.

If you buy six-packs only, then you can buy a max of 5 of them. That gets you 5*6 = 30 cans of soda.

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

Now let's say you buy individual cans only. We'll use the same idea mentioned earlier but this time divide over 0.80

15/(0.80) = 18.75 which rounds down to 18

We round down because we can't buy that 19th can of soda (note how 19*0.80 = 15.2 which is larger than 15).

So if you buy individual cans only, then you can get a max of 18 cans.

We see that it's better to go with the six-pack option (in the first section) since we can get 30 cans compared to 18 cans.

(06.01)Four graphs are shown below: Which graph represents a negative linear association between x and y?

Answers

Answer:

Step-by-step explanation:

A negative linear association between x and y means that as x increases, y decreases at the same rate, creating a line with a negative slope. This line will tend from upper left to lower right. 2 of those graphs tend from upper left to lower right, but only one of them is a linear representation. That is graph D.

Write using exponents. Rewrite the expression below in the same sequence.

Answers

Answer:

[tex]10^2a^2b[/tex]

Step-by-step explanation:

Exponents are a way of shortening multiplication statements. The exponent represents how many times a term is being multiplied by itself. So, when two terms have the same base it can be written with exponents. For example. 10*10 can be written as [tex]10^2[/tex] because 10 is being multiplied 2 times. Therefore, if we do this with every term you get [tex]10^2a^2b[/tex].

find the next four terms of the sequence 5, 4, 9, 13, 22

Answers

Hello,

It is the Fibonacci 's suit.

[tex]u_1=5\\u_2=4\\u_3=u_1+u_2=5+4=9\\u_4=u_2+u_3=4+9=13\\u_5=u_3+u_4=9+13=22\\u_6=13+22=35\\u_7=22+35=57\\u_8=35+57=92\\u_9=57+92=149\\\\\\\boxed{u_{n+2}=u_{n}+u_{n+1}}\\[/tex]

Find x

Help me please
I'll give you 13 points if it's correct

Answers

ITS 19 TRUSTTTTT MEEE

Which set of rational numbers is arranged from least to greatest? 1 over 5, −1.4, negative 1 over 2, 3

Answers

Answer:

[tex]-1.4, -\frac{1}{2}, \frac{1}{5}, 3[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{5}, -1.4, -\frac{1}{2}, 3[/tex]

Required

Order from least to greatest

We have:

[tex]\frac{1}{5}, -1.4, -\frac{1}{2}, 3[/tex]

Convert all fractions to decimal

[tex]0.2, -1.4, -0.5, 3[/tex]

Now order from least to greatest

[tex]-1.4, -0.5, 0.2, 3[/tex]

Replace fractions

[tex]-1.4, -\frac{1}{2}, \frac{1}{5}, 3[/tex]

PLZ ANSWER ILL GIVE BRAINLIEST FIRST CORRECT ANSWER

Answers

Answer:

B) Y=-2x+1

Step-by-step explanation:

(-2,5)(2,-3)

M= -8/4 = -2

y = -2x + b

5 = -2(-2)+ b

B= 1

Y=-2x+1

Successive approximation

Answers

what you mean lol word out what u askin for
so there’s not an equation?

What is the pH of a solution with a 1.50 × 10−9 M hydroxide ion concentration? (4 points) 0.176 5.18 8.82 9.20

Answers

Answer:

5.18

Step-by-step explanation:

This is a chemistry question. However the solution to the problem is given below:

We'll begin by calculating the pOH of the solution. This can be obtained as follow:

Concentration of Hydroxide ion [OH¯] = 1.5×10¯⁹ M

pOH =?

pOH = –Log [OH¯]

pOH = –Log 1.5×10¯⁹

pOH = 8.82

Finally, we shall determine the pH of the solution. This can be obtained as follow;

pOH = 8.82

pH =?

pH + pOH = 14

pH + 8.82 = 14

Collect like terms

pH = 14 – 8.82

pH = 5.18

Therefore, the pH of the solution is 5.18

Answer:

5.18

Step-by-step explanation:

I took the test and got it right!

Can someone help me solve this problem please
Thankyouuuu

Answers

Answer:

in picture

Step-by-step explanation:

Brainliest please

Answer:

this is the best way for the question

In the adjoining parallelogram ABCD, A is joined to any point E on BC. AE and DC produced meet at E Prove that. area of ∆BEF = area of ∆ CDE​

Answers

Answer:

In parallelogram ABCD any point E is taken on the side BC . AE and DC when produced to meet at a point M . Prove that ar(ADM) = ar(ABMC) .

wow vvvvvvvvvvvvvvbbbbbb

The ratio of keepers to animals in the city zoo is 2 : 7. The table shows the current numbers of animals and keepers in the zoo. If 21 more animals are added, how many total keepers are needed to maintain the ratio of keepers to animals?

City Zoo
Number of Keepers Number of Animals
12 42

Answers

Answer:

18

Step-by-step explanation:

42+12= 63

63/7=9

9*2=18

Answer:

18

Step-by-step explanation:

plato/edmentum

2 points The compound interest on a certain sum for the first year for 4 % is Rs. 25. The compound interest for 2 years at the same rate on the same sum will be ...​

Answers

Answer:

The interest for the two years is Rs 51.

Step-by-step explanation:

Rate, R = 4 %

Compound interest for 1 year = Rs 25

Let the sum is P.

For first year,

[tex]A = P \left ( 1+\frac{R}{100} \right )^1\\\\A = P(1+0.04)\\\\A - P = 0.04 P\\\\0.04 P = 25\\\\P= Rs625[/tex]

For 2 year

[tex]A = P \left ( 1+\frac{R}{100} \right )^2\\\\A = 625(1+0.04)^2\\\\A = 676\\[/tex]

Interest is

Interest = Rs 676 - Rs 625 = Rs 51

PLZ HELPPP!!! whoever answers first with a good answer ill mark as brainliest

Answers

Answer:  B. F(53)

This is because the nth term is found by adding the previous two terms

F(n) = nth term

F(n-1) = term just before the nth term

F(n-2) = term before the F(n-1) term

F(n) = F(n-1) + F(n-2)

We can re-index values of n to say this equivalent statement

F(n+2) = F(n+1) + F(n)

Based on either equation mentioned, adding F(51) and F(52) will get us F(53). In other words, the 51st and 52nd terms add to the 53rd term.

Other Questions
The diagram below is divided into equal parts. Which fraction of the parts is white?A diagram is divided into 4 blue parts and 3 white parts.Three-seventhsFour-seventhsThree-fourthsFour-thirds Find the area of a circle with radius, R = 6.37m.Give your answer rounded to 2 DP Verify that the equation is an identity. in the diagram below, BD is parallel to XY. what is the value of y?a. 70b. 130c. 110d. 20 1. Your principal sends you a note stating that you must complete a particulartask. What does the note say?*Your answerORI36 Help ASAP). "The Alchemist". Question 1) Define allegory? Question 2) In medieval times, it was believed that there was a process that would change base metals into gold. An alchemist has the ability to transform things. In the prologue, the alchemist changes the ending of the myth about Narcissus. Narcissus looked at his reflection in the lake every day. But in the alchemist's story, the lake was enjoying its own reflection in Narcissus's eyes. What do you think the author is implying about how we see ourselves and others? Question 3) What does Santiago the shepherd describe his sheep's behavior? What do his sheep symbolize? Question 4) The character of Santiago is an archetype of the shepherd. Briefly describe the shepherd archetype? Question 5) What is a Personal Legend? Question 6) How does Melchizedek's conversation with Santiago affect the plot? Question 7) There are many symbols in the novel. These symbols have a meaning beyond their literal meaning. Make notes about their meanings as you read. Treasure , Hawks, Desert. Question 8) What does Santiago learn from the Englishman? Question 9) What is the purpose of the omens? 10) What does Santiago realize when he meets Fatima? Question 11) What does the alchemist teach Santiago? ( Look at the picture for the last 4 questions) Will Mark Brainliest). Don't Answer if you haven't read the story please. What are practical applications of genetic engineering? What industry helped the development of New York City?A.shippingB.meatpackingC.steel D.banking LOOK AT THE BOTTOM PLEASE BE RIGHT Find the measure of the angle indicated.1243151687The measure of angle 7 is Mark gathered data about the number of pink and red flowers that bloomed on several of his flowering shrubs. The scatter plot shows the data he gathered and the line of best fit. When UV light of wavelength 248 nm is shone on aluminum metal, electrons are ejected withmaximum kinetic energy 0.92 eV. What maximum wavelength of light could be used to ejectelectrons from aluminum What is the next term in the sequence below?-324,108,-36,12 how does high death rate affect population and development in a country A corporate bond with a 6% coupon (paid semiannually) has a yield to maturity of 7.5%. The bond matures in 20 years but is callable at $1050 in ten years. The maturity value is par. Calculate the bonds yield to call. % terms w/o $ sign. (HINT: Find the current price and then solve for YTC.) A bottling company marks a 0 for every bottle that comes out correct and a 1 for every defective bottle. Estimate the probability that the next bottle is defective how many 20p coins in 4 Essentially all of the mass of an atom is due to the? nucleonselectrons.protonsNeutrons Find the area of the followingrhombus:6 cm10 cm8 cmA=121 cm2 Mendel usedover 28,000 pea plants in his experiment. How does this largesample size make his results more reliable?