Becca solved the division problem 1.8 ÷ 0.3. Her work is shown below. Long division problem showing one and eight-tenths divided by three-tenths equals six-tenths Part A Use the drop-down menus to explain the mistake Becca made. Becca should have the dividend and the divisor by and moved the decimal point in the quotient to the .
Answer and Step-by-step explanation:
The complete options to choose from in order to explain her mistake are not shown, therefore I'll solve the problem generally.
To solve 1.8/0.3 easily we multiply but numerator and denominator by 10
(1.8*10)/(0.3*10) = 18/3 = 6
The dividend and the divisor should have been multiplied by 10 and the decimal point in the quotient should have been shifted to the right by Becca.
Both the dividend and the divisor must be changed such that there are no decimal places in the divisor before dividing decimals. Becca made a mistake by not taking this change into account.
Becca needed to multiply both the dividend (1.8) and the divisor (0.3) by 10 to get rid of the decimal places in order to divide 1.8 by 0.3 correctly. As a result, the issue would change to 18 3.
When the division is done properly, we see that 18 3 equals 6, leaving no residual.
Therefore, Becca made a mistake by failing to multiply both the dividend and the divisor by 10.
For similar questions on division
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For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
10
X
13
Answer:
8.31
Step-by-step explanation:
By Pythagoras Theorem,
(10)² + x² = (13)²
=> x² = (13)² - (10)²
=> x² = 169 - 100
=> x² = 69
=> x = [tex]\sqrt{69}[/tex]
=> x ≈ 8.31
Hope it helps :)
Please mark my answer as the brainliest
Michael practiced his harmonica 3 times as long as Timothy did. Michael practiced for 126 minutes. Write an equation that represents the relationship between the amount of time Timothy practiced x and the amount of time Michael practiced.
Answer:
126 = 3x
Step-by-step explanation
Find the measure of angle b
Answer:
b = 116⁰
we have:
b + 64⁰ = 180⁰
<=> b = 180⁰ - 64⁰
<=> b = 116⁰
What is the measure of ∠FIH?
A) 144°
B) 90°
C) 108°
Which event leads to Mio regaining her confidence?
A.
She notices a look on her mother's face that helps her feel prepared.
B.
Her brother gives her an encouraging look that boosts her confidence.
C.
She recalls the times when her mother prepared her for the ceremony.
D.
The smell of the matcha tea reminds her that she was always ready.
this is language arts by the way and im in 8th grade
Answer:
B.
Step-by-step explanation:
It says that when her brother gives her an encouraging look, it boosts her confidence. So, I would assume it'd be that one.
Answer:
C.
She recalls the times when her mother prepared her for the ceremony.
d. Lauren and Gina's mother told her daughters they can
swim in the pool for 20 minutes. First, they swam laps in
the pool for 7 minutes. Then they swam underwater for
one minute. Then they played water polo for 8 minutes.
How much longer can they stay in the pool?
Answer:
4 minutes left
Step-by-step explanation:
20 - 16 = 4
The longer can they stay in the pool 4 minutes left.
We have given that,
Lauren and Gina's mother told her daughters they can
swim in the pool for 20 minutes.
First, they swam laps,
The pool for 7 minutes.
Then they swam underwater for one minute.
Then they played water polo for 8 minutes.
We have to determine the longer can they stay in the pool.
How many seconds in 1 minute?1 minute =60 second
4 minutes left
20 - 16 = 4
The longer can they stay in the pool 4 minutes left.
To learn more about the time visit:
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Someone help me 8 points each
Answer:
the third one is not intersenting
Step-by-step explanation:
Answer:
x=49
Step-by-step explanation:
180-131=49
In a student election, Derrick got 10% of the votes. If Derrick got 5 votes, how many total students voted?
Answer:
50 students voted
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
If 50 students voted, or 1/10th of students voted for him, than you can multiply 5 by 10 to get your answer, which equals 50.
Check whether the sequence is arithmetic. If so, find the common difference d. 2, 7, 12, 17, 22 ... Select the correct choice below and, if necessary, fill in the answer box within your choice.
Answer:
The answer is A.
Step-by-step explanation:
The common difference is five because 7-2=5, 12-7=5, 17-12=5, 22-17=5, and so on.
Multiply (3x + 2) (4x-5)
Answer:
12x^2-7x-10
Step-by-step explanation:
I did binomial into binomial method
3x(4x-5)+2(4x-5)
12x^2-15x+8x-10
12x^2+(-15+8)x-10
12x^2-7x-10
please help, needed to graduate!!
Answer:
its b
Step-by-step explanation:
i just did that question last period
Each supply bin has 4 bottles of glue and 3 pairs of scissors. What is the ratio of total supplies to bottles of glue?
Answer:
7 : 4
Step-by-step explanation:
Find the measure of angle b
Answer:
77°
Step-by-step explanation:
Angles on a straight line add up to 180
180 - 103 = b
180 - 103 = 77
Kyle found that
31/97 = 0.3196. Without doing any computation, explain how we know
that Kyle is wrong.
I need the answer really quickly!!!
Answer:
The answer actually rounds to 0.3196, but the computation is so long, we just count it as 0.3196. The real answer would be 0.31958762886.
Step-by-step explanation:
a withdrawal of 225 what is the integer
Answer:
-225
Step-by-step explanation:
A withdraw means taking out -225 dollars
HELP ME PLZ !!! IT'S ALGEBRA
Answer:
x = - 8/23
y = 40/23
Step-by-step explanation:
-5x- y = 0
and
-8x+3y = 8
The first step to solve this would be to get what one of the two variables equal. The easiest in this case is y from the first equation.
-5x-y = 0
-y = 5x
y = - 5x
Now you can take this y value and plug it into the section equation.
-8x + 3(-5x) = 8
-8x - 15x = 8
-23x = 8
x = - (8/23)
Once you get the x value you can plug it back into equation one to get y's value
-5*-(8/23) - y = 0
40/23 - y = 0
y = 40/23
factor out the coefficient of 1/2d+6
Answer:
factoring out the 1/2 (that is the coefficient of the variable) would require you to divide the equation by one half, which is the same as multiplying by two. After doing this, the answer can be expressed as:
1/2 (d+12)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Factor out a 1/2
[tex]\frac{1}{2}(d+12)[/tex]
Redistribute if you want to check your work
[tex]\frac{d}{2}+\frac{12}{2} =\frac{1}{2}d+6[/tex]
Solve the equation. Check your solutions.
|4b+4|=|2b+8|
Answer:
b = 2 or b = -2Explanation:
|4b + 4| = |2b + 8|
Solve absolute value
|4b + 4| = |2b + 8|
Either 4b + 4 = 2b + 8 or 4b + 4 = −(2b + 8)
4b + 4 = 2b + 8 (Possibility 1)
4b + 4 − 2b = 2b + 8 − 2b (Subtract 2b from both sides)
2b + 4 = 8
2b + 4 − 4 = 8 − 4 (Subtract 4 from both sides)
2b = 4
2b / 2 = 4 / 2 (Divide both sides by 2)
b = 2
4b + 4 = −(2b + 8) (Possibility 2)
4b + 4 = −2b − 8 (Simplify both sides of the equation)
4b + 4 + 2b = −2b − 8 + 2b (Add 2b to both sides)
6b + 4 = −8
6b + 4 − 4 = −8 − 4 (Subtract 4 from both sides)
6b = −12
6b / 6 = -12 / 6 (Divide both sides by 6)
b = -2
b = 2 or b = -27.6 cm
Diagram NOT
accurately drawn
A circle has a radius of 7.6 cm.
Work out the area of the circle.
Give your answer correct to 3 significant figures.
Answer:
181cm²
Step-by-step explanation:
Given
Radius of a circle = 7.6cm
Area of the circle = \pi r²
Substitute
Area of the circle = 3.14(7.6)²
Area of the circle = 3.14(57.76)
Area of the circle = 181.3664cm²
Area of the circle to 3sf is 181cm²
1
message
In the book club, the girl to boy ratio is 6 to 9. If there are a total of 45 students, how many girls are there?
YOU MUST SHOW WORK
Answer:
18 girls
Step-by-step explanation:
6:9
6+9 = 15
we multiply each part of the ratio by 3
6*3 = 18 girls
9*3 = 27 boys
In the adjoining figure , APB and AQC are equilateral triangles. Prove that PC = BQ. ( Hint : [tex] \triangle[/tex]APC = [tex] \triangle[/tex]AQB, then PC = BQ)
~Thanks in advance ! ツ
Answer:
See Below.
Step-by-step explanation:
Statements: Reasons:
[tex]\displaystyle 1)\text{ } \Delta APB \text{ and } \Delta AQC \text{ are equilateral triangles}[/tex] Given
[tex]\displaystyle 2) \text{ } m \angle PAB = 60[/tex] Definition of equilateral.
[tex]3)\text{ } m \angle QAC = 60[/tex] Definition of equilateral.
[tex]4)\text{ } m\angle PAB = m\angle QAC[/tex] Substitution
[tex]5)\text{ } m\angle PAC=m\angle PAB+m\angle BAC[/tex] Angle Addition
[tex]\displaystyle 6)\text{ } m\angle QAB=m\angle QAC+m\angle BAC[/tex] Angle Addition
[tex]7)\text{ } m\angle QAB=m\angle PAB+m\angle BAC[/tex] Substitution
[tex]\displaystyle 8)\text{ } m\angle PAC=m\angle QAB[/tex] Substitution
[tex]9)\text{ } PA=BA[/tex] Definition of equilateral
[tex]10)\text{ } AC=AQ[/tex] Definition of equilateral
[tex]\displaystyle 11)\text{ } \Delta PAC \cong \Delta BAQ[/tex] Side-Angle-Side Congruence*
[tex]\displaystyle 12)\text{ } PC=BQ[/tex] CPCTC
* SAS Congruence:
PA = BA
∠PAC = ∠QAB
AC = AQ
Which choice below lists all of the square roots of the number 100?
A. V10-10
C. 10,-10
B. 10
E. 50,-50
D. -10
Answer:
c. 10, -10
Step-by-step explanation:
10x10=100
-10x-10=100
Answer:C
Step-by-step explanation: when doing the square root of 100 it’s 10 but -10 times -10 is also 100 because of double negatives
PLEASE HELP ! (no fake answers)
Answer:
lol
Step-by-step explanation:
2)
Apply the Pythagorean Theorem to determine the correct statements.
A) If the sides of a right triangle are of length 8 and 15, its hypotenuse is 17.
B) If the sides of a right triangle are of length 7 and 24, its hypotenuse is 35.
C) If the sides of a right triangle are of length 9 and 40, its hypotenuse is 41.
D) If the sides of a right triangle are of length 21 and 28, its hypotenuse is 36.
E) If the sides of a right triangle are of length 12 and 16, its hypotenuse is 20.
Answer:
A, C, and E are true.
Step-by-step explanation:
These are all done the same way.
Look at (A). If the statement is true, then 8² + 15² = 17², because the Pythagorean theorem says that if you square the lengths of the two shorter sides of a right angle, their sum will equal the square of the longest side: a² + b² = c².
8² = 64. 15² = 225. So 8² + 15² = 64 + 225 = 289.
So if the statement is true, then 289 = 17².
And yes 17² = 289, so the statement is true.
On the other hand, (B) is false. 7² + 24² = 49 + 576 = 625
But the third side squared, 35² = 1225, not 625.
please help me! ASAP explain for brainlist.
Step-by-step explanation:
Hello,
First, there are 8 possible outcomes for the game spinner.
Second, the spinner is on 5, meaning that the outcome is 5.
Try to work with this, and if you need more help, I’ll answer back if I can.
Answer:
okay see the correct answer is D
Step-by-step explanation:
first 0f all a sample space means the possible outcome for all possibilities. like just as shown in the spinner the 1 2 3 4 5 6 7 8, or it could be in a dice 1 2 3 4 5 6 like that
second of all the outcome shown is wh,at the possibility landed on like as shown its five since the arrow of the spinner is there, as for a dice for example it could have been 4 4 since dice are always 2
I SERIOUSLY AM SKIPPING MY MATH CLASS IM HELLA BORED BUT DO U UNDERSTAND MATE
Cisco is building a container for his plants. It is made out of a cube and two cylinders. He plans to paint each surface but cuts off the top of the two cylinders. He also wants to reinforce all the edges before putting it together. Which one is greater, the number of surfaces he has to paint, or the number of edges he has to reinforce
Answer:
Neither
Step-by-step explanation:
In the context, Cisco is building container for the plant which is made up of one cube and two numbers of cylinders. He wants to paint each of the surfaces of the figure but he cuts off the top of two cylinders. Thus neither of the surfaces are greater as Cisco has two cylinders or surfaces and a cube or a point that he cuts the two cylinders and now that he has four surfaces and a cube that has four points.
Can someone please answer these questions ASAP!!
Solve the real-world situation by using the substitution method.
The number of DVDs sold at a store in a month was 923 and the number of DVDs sold decreased by 12
per month. The number of Blu-ray Discs sold in the same store in the same month was 505 and the
number of Blu-ray discs sold increased by 26 per month. Let d represent the number of discs sold and t
represent the time in months.
The system of equations
{d=923-12t
{d=505+26t
can be used to represent this situation.
If this trend continues, how many months will the number of DVDs sold equal the number of Blu-ray discs
sold? How many of each is sold in that month?
There will be ____ DVDs and Blu-Ray discs sold per month in ____ months.
Answer:
In 11 months, the number of DVDs sold and Blue-Ray discs sold will be same, 791 of each.
Step-by-step explanation:
In the equation d = 923-12t, substitute 505+26t (from the second equation) for 'd'. We get
505 + 26t = 923 - 12t
-505 + 12t -505 + 12t
38t = 418
t=11
d = 923-12(11) = 791
d = 505+26(11) = 791
After 11 months, selling 791 of each.
Hope this helps.
Answer:
791
Step-by-step explanation:
Find KI if GI = 3.2
Can anyone help??
Answer:
I don't know if I'm right I've never done this before but it seems like GI is exactly half of that line so the other half must be 3.2.
Correct me if I'm wrong thank you, and wait for more responses if needed please.