Antonio completed the right column of the table to help him find the sum of 2/ and 1/5.

In which step did his first error occur?
Step ( )

Antonio Completed The Right Column Of The Table To Help Him Find The Sum Of 2/ And 1/5. In Which Step

Answers

Answer 1

Answer:

Antonio's first error occurred in First step where he added the denominators of both fractions instead of finding a common denominator.

Step-by-step explanation:

In order to add or subtract two fractions, a common denominator is found and then the denominators of both fractions are made equal to the common denominator.

The given fractions are:

[tex]\frac{2}{9}\ and\ \frac{1}{5}[/tex]

The common denominator is the number which is the multiple off denominators of both fractions involved.

Antonio made his first error in first step. Instead of finding a common multiple denominator, he add the denominator of both fractions which is wrong.

The correct method is:

[tex]\frac{2}{9} + \frac{1}{5}\\= \frac{2*5}{9*5} + \frac{1*9}{5*9}\\=\frac{10}{45}+\frac{9}{45}\\=\frac{19}{45}[/tex]

Hence,

Antonio's first error occurred in First step where he added the denominators of both fractions instead of finding a common denominator.


Related Questions

The ratio of teachers needs to be 1:30. If there were 120 students, how many teachers would be needed?

Answers

Answer:

4:120

Step-by-step explanation:

for 120 student they would be 4 teacher needed per 30 student

4:120

Which measurement is most likely to be the mass of a strawberry?

Answers

Answer:

is there anything to go with this?

Step-by-step explanation:

Answer: D

Step-by-step explanation: Saw your recent comment on this

The inter quartile range of a distribution is 7. If the 25th percentile is 16. Find the upper quartile

Answers

Given:

Inter quartile range(IQR) of a distribution = 7

25th percentile = 16

To find:

The upper quartile.

Solution:

We have,

IQR = 7

25th percentile = lower quartile = 16

We know that,

IQR = Upper quartile - Lower quartile

Let the upper quartile be [tex]Q_3[/tex].

Using the above formula, we get

[tex]7=Q_3-16[/tex]

Adding 16 on both sides, we get

[tex]7+16=Q_3-16+16[/tex]

[tex]23=Q_3[/tex]

Therefore, the upper quartile of the distribution is 23.

1/ The Hotel is 163 miles from your house.your car travels 10.5 miles for every litre of petrol. Work out approximately how many litres of petrol the journey will use.
2/The price of petrol is 138.9 pence per litre Work out the approximate cost for the petrol to the hotel .

3/ you expect to travel 50 miles in each hour of a jurney how long the whole journey should take

please help.​

Answers

Answer:

1. The journey will use 15.52 liters of petrol.

2. The approximate cost of petrol to hotel will be 2155.73 pence

3. The whole journey will take 3.36 hours

Step-by-step explanation:

Given that:

Distance of hotel from house = 163 miles

Distance covered by per liter = 10.5 miles

1/ The Hotel is 163 miles from your house.your car travels 10.5 miles for every litre of petrol. Work out approximately how many litres of petrol the journey will use.

Petrol used for total distance = [tex]\frac{Total\ distance}{Distance\ per\ liter}[/tex]

Petrol used for total distance = [tex]\frac{163}{10.5}=15.52\ liters[/tex]

The journey will use 15.52 liters of petrol.

2/The price of petrol is 138.9 pence per litre Work out the approximate cost for the petrol to the hotel .

Cost of per liter petrol = 138.9 pence

Cost for petrol to hotel = Petrol used for journey * Price per liter

Cost of petrol = 138.9 * 15.52 = 2155.73 pence

The approximate cost of petrol to hotel will be 2155.73 pence

3/ you expect to travel 50 miles in each hour of a jurney how long the whole journey should take.

Distance covered per hour = 50 miles

Time taken in whole journey = [tex]\frac{total\ distance}{distance\ per\ hour}[/tex]

Time taken in whole journey = [tex]\frac{168}{50}[/tex]

Time taken in whole journey = 3.36 hours

The whole journey will take 3.36 hours

Hence,

1. The journey will use 15.52 liters of petrol.

2. The approximate cost of petrol to hotel will be 2155.73 pence

3. The whole journey will take 3.36 hours

At a concert, the band has 18 men's T-shirts and 16 women's T-shirts. The band wants to set up tables to sell the shirts, with an equal number of men's and women's shirts available at each table and no shirts left over. What is the greatest number of tables the band can sell shirts from?

Answers

I think it’s 2, and each table has 9 men shirts and 8 women shirts

Find the slope of the line containing the points in the table below

Answers

Answer:

slope = 3

Step-by-step explanation:

Choose any two points: For example, (2, 4) and (4, 10)

Find the difference in y. This is called the "rise."

rise = 10 - 4 = 6

In the same order, find the difference in x. this is called the "run."

run = 4 - 2 = 2

slope = rise/run

slope = 6/2

slope = 3

Solve The Equation !
‐5x – 3 < 2x – 18

Answers

Answer:

x>15/7

Step-by-step explanation:

A person places $6860 in an investment account earning an annual rate of 2.9%, compounded continuously. Using the formula
V
=
P
e
r
t
V=Pe
rt
, where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 11 years.

Answers

9514 1404 393

Answer:

  $9,437.65

Step-by-step explanation:

Fill in the given numbers and do the arithmetic.

  [tex]V=Pe^{rt}\\\\V=\$6860\cdot e^{0.029\cdot 11}=\$6860\cdot 1.375751\\\\\boxed{V=\$9{,}437.65}[/tex]

what's a slop in math

Answers

Answer:

Its the division of x axis divided by y axis

Answer:

The slope of the line is a measure of its steepness. You can find it with rise/run. The formula for slope is m=y2-y1/x2/x1

what is equivalent to 1/2 (2x + 7)

Answers

Answer: x + 7/2
Explanation:

1/2(2x + 7) = x + 7/2

Depreciation is the decrease or loss in value of an item due to age, wear, or market conditions. We usually consider depreciation on expensive items like cars. Businesses use depreciation as a loss when calculating their income and taxes. One company buys a new bulldozer for $109600. The company depreciates the bulldozer linearly over its useful life of 16 years. Its salvage value at the end of 16 years is $17600. A) Express the value of the bulldozer, V, as a function of how many years old it is, t. Make sure to use function notation. B) The value of the bulldozer after 7 years is $

Answers

Answer:

a. V = $109,600  - $5,750(t)

b.  $69,350

Step-by-step explanation:

a. The expression of the value of the bulldozer is as follows

V = $109,600 - (m) × (t)

where,

m = depreciation

t  = time in years

Now the equation would be

$109,600 - 16(m) = $17,600

m = ($109,600 - $17,600) ÷ (16)

= $5,750

Now the expression would be

V = $109,600  - $5,750(t)

b. Now the value of the bulldozer is

= $109,600 - $5,750 × 7 years

= $109,600 - $40,250

= $69,350

BRAINLIST HELP TIMED

Answers

Answer:

its the second one

Step-by-step explanation:

u just mulitply the terms together and add the exponents

There are 60 seconds in a minute use a tape diagram to find the total number of seconds in 5 minutes and 45 seconds

Answers

60 x 5 + 45 = 345 Seconds

The answer is 345 seconds I hope it helped

I need help with this question thanks!

Answers

Answer:

n= -10

Step-by-step explanation:

50-20= 30 so -3n=30. So n= -10.

Answer:

n=-10

Step-by-step explanation:

-3n+20=50 move constant to the right hand side

-3n=50-20 subtract the numbers

-3n=30 divide both sides by -3 and the answer is n=-10

Asap, show the shaded area of the graf of lines 7x+10y=70, x-2y=0, 2x+y=0...​

Answers

Answer:

The answer is i have no clue

What is the question ?

6) Calculate the slope of a line containing the points (-3,5) and (-7,11).

Answers

Slope: (y2-y1)/(x2-x1)
(11-5)/(-7+3) = 6/-4 = 3/-2
The slope is -3/2

slopev=

[tex]diffrence \: in \: y \: coordinate \\ diffrence \: in \: x \: coordinate[/tex]

so

Y=11_5 =6

X = -7_(-3) = -4.

slope = (-4,6)

make as brainlist

5) A student answered 81 problems on a test correctly and received a grade 90%.
How many problems were on the test, if all the problems were worth the same
number of points?

Answers

Answer:

90

Step-by-step explanation:

81/x=90/100

8100=90x

90=x

The total number of problems given in exam was 90.

PercentageWhat is percentage?

Percentage, which is a relative figure used to denote hundredths of any quantity. One percent (symbolised as 1%) is equal to 100 parts; hence, 100 percent denotes the complete amount, and 200 percent designates double the amount specified.

How to calculate percentage?

Divide one number by the other, then multiply the result by 100 to get the percentage of the two numbers.

Calculation for the total number of question given:

A student correctly answered 81 problems.

Grade received by student is 90%

Let the total number of question given in the test be 'x'.

Thus,

90% of x = 81

(90/100)x = 81

x = (81×100)/90

x = 90

Therefore, the total number of question allotted to the student is 90.

To know more about how to conver percent to fraction?, here

https://brainly.com/question/317717

#SPJ2

A rectangle I has a perimeter of 28 units, an area of 48 square units, and sides that are either horizontal or vertical. If one vertex is the point (-5,-7) and the origin is in the interior of the rectangle, fi the vertex of the rectangle is opposite of (-5,-7).

Answers

Ask your teacher because I don’t know

Answer:

B, C, E

Step-by-step explanation:

On edge 2021

. Ruiz wants to buy a coffee machine that costs
$45.00. How much would the cashier give Ruiz if she
gives the cashier a $100 bill?

Answers

Ruiz would get back 55 dollars 0 cents

He Should Get 55 Dollars Back

Tom got on a scale while on a vacation in France and noticed he weighed 75 kg. He read in a guidebook that 1 lb. = 0.45 kg. How much does Tom weigh in pounds​

Answers

Answer:

166.67 pounds

Step-by-step explanation:

Set up a proportion where x is Tom's weight in pounds:

[tex]\frac{75}{x}[/tex] = [tex]\frac{0.45}{1}[/tex]

Cross multiply and solve for x:

75 = 0.45x

166.67 = x

So, Tom weighs approximately 166.67 pounds

The answer to a subtraction problem​

Answers

Answer:

The answer in a subtraction problem is called the difference.

Step-by-step explanation:

Hi there!

The answer to a subtraction problem is called rest or difference while the top thats being subtracted is called the minuend and the middle one is called the subtrahend.

In triangle $XYZ,$ $\angle Y = 45^\circ$ and $\angle Z = 60^\circ.$ If $XZ = 4,$ then what is $XY$?

[asy]
unitsize(3 cm);

pair X, Y, Z;

X = (0,1);
Y = (-1,0);
Z = (1/sqrt(3),0);

draw(X--Y--Z--cycle);

label("$45^\circ$", Y + (0.3,0.1), fontsize(10));
label("$60^\circ$", Z + (-0.2,0.1), fontsize(10));
label("$X$", X, N);
label("$Y$", Y, SW);
label("$Z$", Z, SE);
label("$4$", (X + Z)/2, NE);
[/asy]

Answers

Answer:

[tex]XY = 4.9[/tex]

Step-by-step explanation:

[tex]\angle Y = 45^\circ[/tex]

[tex]\angle Z = 60^\circ[/tex]

[tex]XZ = 4[/tex]

Required

Determine the length of XY?

This question is supported with the attachment.

To solve for the length of XY, we make use of the sine law which states:

[tex]\frac{sin\ A}{a} = \frac{sin\ B}{b} = \frac{sin\ C}{c}[/tex]

In this case:

[tex]\frac{sin\ \angle Y}{XZ} = \frac{sin\ \angle Z}{XY} = \frac{sin\ X}{YZ}[/tex]

Substitute in, the following values:

[tex]\angle Y = 45^\circ[/tex]

[tex]\angle Z = 60^\circ[/tex]

[tex]XZ = 4[/tex]

The expression becomes:

[tex]\frac{sin\ 45}{4} = \frac{sin\ 60}{XY}[/tex]

Cross multiply

[tex]XY * \sin\ 45 = 4 * \sin\ 60[/tex]

Make XY the subject

[tex]\frac{XY * \sin\ 45}{\sin\ 45} = \frac{4 * \sin\ 60}{\sin\ 45}[/tex]

[tex]XY = \frac{4 * \sin\ 60}{\sin\ 45}[/tex]

[tex]XY = \frac{4 * 0.8660}{0.7071}[/tex]

[tex]XY = \frac{3.4640}{0.7071}[/tex]

[tex]XY = 4.89888276057[/tex]

[tex]XY = 4.9[/tex] --- approximated

Answer:

XY = 4.9

Step-by-step explanation:

LOTS OF POINTS plz help due today!!!!!

Answers

Answer:

what numbers do you need answering??

Step-by-step explanation:

7.) $50.00
8.) 10 people
9.) $1920.00
10.) $20.00

let me know if any of these seem incorrect

Find percentage of .20

Answers

Answer: The percentage of 0.20 is 20%.

Step-by-step explanation: 0.20 represents the 20% of 100%.

Answer: 20%

Step-by-step explanation: You just move the dot 2 times to the right and it will be 20%

3.3^(2x+1)-103^x+1=0 need value of x

Answers

Answer:

The value of [tex]x[/tex] is approximately -1.531.

Step-by-step explanation:

Let [tex]3.3^{2\cdot x + 1}-103^{x+1} = 0[/tex], we proceed to solve this expression by algebraic means:

1) [tex]3.3^{2\cdot x + 1}-103^{x+1} = 0[/tex]  Given

2) [tex]3.3^{2\cdot x}\cdot 3.3 -103^{x}\cdot 103 = 0[/tex] [tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]

3) [tex](3.3^{x})^{2}\cdot 3.3 -\left[\left( \sqrt{103} \right)^{2}\right]^{x}\cdot 103 = 0[/tex] [tex](a^{b})^{c} = a^{b\cdot c}[/tex]

4) [tex](3.3^{x})^{2}\cdot 3.3 - \left[\left(\sqrt{103}\right)^{x}\right]^{2}\cdot 103 = 0[/tex] [tex](a^{b})^{c} = a^{b\cdot c}[/tex]/Commutative property

5) [tex]\left[\left(\frac{3.3}{\sqrt{103}}\right)^{x}\right] ^{2}-\frac{103}{3.3} = 0[/tex] Existence of multiplicative inverse/Definition of division/Modulative property/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]

6) [tex]\left(\frac{3.3}{\sqrt{103}} \right)^{2\cdot x}=\frac{103}{3.3}[/tex] Existence of additive inverse/Modulative property/[tex](a^{b})^{c} = a^{b\cdot c}[/tex]

7) [tex]\log \left(\frac{3.3}{\sqrt{103}} \right)^{2\cdot x}=\log \frac{103}{3.3}[/tex] Definition of logarithm.

8) [tex]2\cdot x\cdot \log \left(\frac{3.3}{\sqrt{103}} \right)= \log \frac{103}{3.3}[/tex]     [tex]\log_{b} a^{c} = c\cdot \log_{b} a[/tex]

9) [tex]2\cdot x \cdot [\log 3.3-\log \sqrt{103}] = \log 103 - \log 3.3[/tex]      [tex]\log_{b} \frac{a}{d}[/tex]

10) [tex]x\cdot (2\cdot \log 3.3-\log 103) = \log 103 - \log 3.3[/tex]     [tex]\log_{b} a^{c} = c\cdot \log_{b} a[/tex]/Associative property

11) [tex]x = \frac{\log 103-\log 3.3}{2\cdot \log 3.3-\log 103}[/tex]   Existence of multiplicative inverse/Definition of division/Modulative property

12) [tex]x \approx -1.531[/tex]  Result

The value of [tex]x[/tex] is approximately -1.531.

What is a equivalent expression for 10(y² + 2.45)

Answers

Answer:

10y²+24.5

Step-by-step explanation:

distribute.

10y²+24.5

Hope this helps plz hit the crown :D

The equivalent expression for the given expression is 10y²+24.5.

The given expression is 10(y² + 2.45).

What is an equivalent expression?

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The equivalent expression is

10(y² + 2.45)

=10y²+24.5

Therefore, the equivalent expression for the given expression is 10y²+24.5.

To learn more about an equivalent expression visit:

https://brainly.com/question/28170201.

#SPJ2

`y=2x+1` was a positive slope because...

Answers

Step-by-step explanation:

.....because the coefficient of x is 2, a positive number.

Can anyone help with this it is for Geometry

Answers

Answer:

three angle one slide

Step-by-step explanation:

Estimate the quotient for:

4,819÷68

Answers

Answer:

≈ 70.87 (rounded to the nearest hundredth)

Step-by-step explanation:

-When you do 4,819 ÷ 68, you’ll get:

70.867647058....

-So, just round it to the nearest hundredth:

70.87

Pretty please help!!!
The table shows the relationship of how many pounds of apples are needed to make a certain number of pies:
Number of pies: 5 10 15
Pounds of apples: 2 4 6

Answers

It’s really hard to see :(
Other Questions
Find the mass of an object with a density of 2.01g/mL and a volume of 3.77mL Which of the following is the most concise revision of the passage?As the name suggests, junk food is not a healthy meal choice. It is not ideal for regular consumption. It has little to no nutritional value because it lacks essential vitamins, minerals, and proteins. Junk food sometimes contains a lot of sugar, which can lead to diabetes. It is also high in fat and calories, which may lead to a number of chronic diseases.A. Junk food has very little nutritional value because it doesnt contain vitamins and minerals. It is also high in sugar content.B. Junk food is bad for regular consumption. It contains a lot of sugar and calories, which is bad for your health.C. Junk food is not ideal for regular consumption because it has little nutritional content and excessive calories, which may lead to health issues.D. Junk food is not the best kind of food to eat and should be avoided as much as possible. It has no or little nutritional content. It has no minerals and vitamins in it. Ms. Raab and Ms. Levy both drink coffee in themornings.Ms. Raab adds 1 more teaspoon to each cup ofcoffee than Ms. Levy. Together, they both add 5teaspoons of sugar to their coffees.How many teaspoons of sugar does Ms. Raab add?How many teaspoons does Ms. Levy add?Set up an equation to show this, and then solve. Consider a city of 200 people (100 rich and 100 poor) and two neighborhoods (100 people in each). Both groups generally prefer to live with rich people and are willing to pay a premium for living with a fraction of rich people that is larger than 50%. Poor peoples premium curve is given as !""# = 2$, where x is the percentage of rich above 50% (e.g., if there are 52% rich, x will be 2). Rich peoples premium curve is given by %&'( = 60 0.4$. a) What is the equilibrium outcome (i.e., what is the share of rich and poor people, respectively). Explain. When the Atlantic Slave trade was outawed in 1807, what started happerning to tribalkingdorms that gained power and influence during the trade's existence?O Continued to dominate their region and export goods like gold, rubber, and chocolateO Fell apart, leaving thernselves vulnerable to European conquest in the late 1800sO Were toppled by rival tribes decades laterO Grew stronger as they found other valuable exports in Africa According to this excerpt, how have women been perceivedhistorically? HELPPPPP PLZZWhich of the following factors did not lead to World War 1?A. Many nations were facing high unemployment and impossible economic conditions.B. Dictators were seizing power in Italy and Germany.C. The League of Nations was unable to curb aggressive expansionism.D. Archduke Franz Ferdinand was assassinated.Please select the best answer from the choices providedABOcD Nematodes belong to a category of animals called "Ecdysozoa;" which of the following best describes why?a)Nematodes are worms.b)Nematodes molt their exoskeleton.c)Nematodes can be parasites.d)Nematodes lack a head. Which of the following coordinates is located in Quadrant IV?(4, 2)(2, 4)(4, 2)(2, 4) James is working with the lac operon of Escherichia coli (E. coli). He places the bacteria on a plate of growth media.The lac Operon of E. coli is shown.Based on the current understanding of this operon, which hypothesis would be useful for James to test?Addition of allolactose to the bacterial growth media should increase the speed at which the bacteria metabolize the sugar lactose.Removal of the RNA polymerase molecule should increase the amount of bacterial growth on the plate.Decreasing the amount of allolactose in the bacterial growth media should increase the rate of bacterial growth.Increasing the rate at which RNA polymerase acts will inhibit bacterial growth. Jess saved $500 working during the summer. He plans to buy school clothes with his money. He found jeaexactly twice as many shirts as jeans, how many pairs of jeans can Jess buy without exceeding $500? Factor the expression using the GCF: (42 + 12 ) = __ ( __+ __ ) Why did the Neolithic Period lead to the creation of laws and governments? What is the difference between haploid and diploid cells? Which process creates diploid cells? Which process creates haploid cellsplease do this pretty simple because I'm a dummy lol how did Russia become an important Eastern European Empire? please hurry ! ! which linear inequality is represented by the graph? Question 5 of 10If f(x) = 4x2 + 1 and g(x) = x2 5, find (f+ g)(x).O A. 3x2 + 6B. 5x2 - 6C. 3x2 - 4D. 5x2 - 4 A machine costing $91,800 was purchased May 1. The machine should be obsolete after three years and, therefore, no longer useful to the company. The estimated salvage value is $5,400. Calculate the depreciation expense for each year of its expected useful life using each of the following depreciation methods: (a) straight-line, (b) double-declining balance. For double-declining balance, do not round until your final answer. Round your final answers to the nearest dollar. The air conditioning unit for marcus building has the shape of a cube and has a volume of 0.512 cubic meters.This air conditioner will be replaced with another cube-shaped unit with a volume of 1 cubic meter. By how much will the edge length of the air conditioner change? Which of the following does NOT describe John Calvin's conception of Predestination?Choose 1 answer:faith is a gift from God, freely given and not something that can be earnedthe choices one makes in life do not improve one's chances of entering heavenan individual's actions accord with God's willthe elect are chosen by Godelection can be gained through good works