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 ( )
Answers
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
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
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%
BRAINLIST HELP TIMED
Answers
Answer:
its the second one
Step-by-step explanation:
u just mulitply the terms together and add the exponents
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
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.
LOTS OF POINTS plz help due today!!!!!
Answers
Answer:
what numbers do you need answering??
Step-by-step explanation:
8.) 10 people
9.) $1920.00
10.) $20.00
let me know if any of these seem incorrect
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
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
what is equivalent to 1/2 (2x + 7)
Answers
Explanation:
1/2(2x + 7) = x + 7/2
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]
. 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
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
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.
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
6) Calculate the slope of a line containing the points (-3,5) and (-7,11).
Answers
(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
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.
Can anyone help with this it is for Geometry
Answers
Answer:
three angle one slide
Step-by-step explanation:
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
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
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.
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Solve The Equation !
‐5x – 3 < 2x – 18
Answers
Answer:
x>15/7
Step-by-step explanation:
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
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:
`y=2x+1` was a positive slope because...
Answers
Step-by-step explanation:
.....because the coefficient of x is 2, a positive number.
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
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
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
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
Answer:
B, C, E
Step-by-step explanation:
On edge 2021
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
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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