1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Evgesh-ka [11]
3 years ago
6

Douglas said he can find 240÷10 by taking the 0 off 240 to get 24. Douglas finds 59.20÷10 using the same method and gets 59.2. U

se the drop-down menus to complete the statement about why Douglas is correct or incorrect.
Mathematics
1 answer:
Lady bird [3.3K]3 years ago
3 0

Answer:

Douglas is incorrect

Step-by-step explanation:

We can remove a zero from a number that has a zero on the right of the decimal place if that zero is the last number before the decimal place. This is true for 240 divided by 10 because the zeros cancel out:

=240/10=24

In 59.20 this is not true. Dividing a number with a decimal place requires the decimal place to move and not cancel out the zero after the decimal place. Therefore:

=59.20/10=5.92

You might be interested in
A boat takes 4 hours to go 20 miles upstream.It can go 32 miles downstream in same time.Find the rate of the current and the rat
Mandarinka [93]
Recall your d = rt, distance = rate * time.

now, if the boat has a speed of say "b", and the current has a speed of say "c", when the boat is going upstream, is not really going "b" fast, is going " b - c " fast, because the current is eroding speed from it, going upwards.

And when the boat is going downstream, is not going "b" fast either, because the current is now adding to speed to it, so is really going " b + c " fast.

The time it took one way, is the same time it took back, 4 hours each way.

thus

\bf \begin{array}{lccclll}
&\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{t}\\
&------&------&------\\
Upstream&20&b-c&4\\
Downstream&32&b+c&4
\end{array}
\\\\\\
\begin{cases}
20=4(b-c)\implies \frac{20}{4}=b-c\implies 5+c=\boxed{b}\\
32=4(b+c)\implies \frac{32}{4}=b+c\implies 8=b+c\\
--------------------\\
8=\left(\boxed{5+c}  \right)+c
\end{cases}
\\\\\\
8=5+2c\implies 3=2c\implies \cfrac{3}{2}=c\implies 1\frac{1}{2}=c

what's the speed of the boat?  well, 5 + c = b.
6 0
3 years ago
Complete the solution of the equation. find the value of y when equals 2. -3x-8y=10
Afina-wow [57]
The value of y can be calculated by translating the equation such that we solve y in terms of x.

                            -3x - 8y = 10
 
                               -8y = 10 + 3x
 
                               y = (10 + 3x) / -8

Then, we substitute 2 to the x in the equation.

                             y = (10 + 3(2)) / - 8  = 16/-8

                                y = -2 

Thus, the value of y in the equation is -2. 
4 0
2 years ago
The isosceles trapezoids, ABCD and EFGH, are similar quadrilaterals. The scale factor between the trapezoids is 2:3, = 6 centime
Bingel [31]

Answer:

Part A) see the explanation

Part B) see the explanation

Part C) The perimeter of trapezoid ABCD is 32 centimeters and the perimeter of trapezoid EFGH is 48 centimeters

Step-by-step explanation:

<u><em>The complete question is</em></u>

The isosceles trapezoids, ABCD and EFGH, are similar quadrilaterals. The scale factor between the trapezoids is 2:3, GH = 6 centimeters, AD = 8 centimeters, and AB is three times the length of DC

Part A) Write a similarity statement for each of the four pair of corresponding sides

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

The corresponding sides are

AB and EF

BC and FG

CD and GH

AD and EH

so

\frac{AB}{EF}=\frac{BC}{FG}=\frac{CD}{GH}=\frac{AD}{EH}

Part B) Write a congruence statement for each of the four pair of corresponding angles.

we know that

If two figures are similar, then its corresponding angles are congruent

The corresponding angles are

∠A and ∠E

∠B and ∠F

∠C and ∠G

∠D and ∠H

so

∠A ≅ ∠E

∠B ≅ ∠F

∠C ≅ ∠G

∠D ≅ ∠H

Part C) Determine the perimeter for each of the isosceles trapezoids

we have

The scale factor between the trapezoids is 2:3, GH = 6 centimeters, AD = 8 centimeters, and AB is three times the length of DC

step 1

Find the measure of CD

Remember that

The ratio between corresponding sides is proportional and this ratio is the scale factor

Let

z ----> the scale factor

z=\frac{2}{3}

so

\frac{2}{3}=\frac{CD}{GH}}

we have

GH=6\ cm

substitute

\frac{2}{3}=\frac{CD}{6}}\\\\CD=4\ cm

step 2

Find the measure of AB

Remember that

AB is three times the length of DC

so

AB=3DC

DC=CD=4\ cm

substitute

AB=3(4)=12\ cm

step 3

Find the measure of BC

Remember that in an isosceles trapezoid, the legs are equal

so

BC=AD

we have

AD=8\ cm

therefore

BC=8\ cm

step 4

Find the perimeter of trapezoid ABCD

P=AB+BC+CD+AD

substitute the values

P=12+8+4+8=32\ cm

step 5

Find the perimeter of trapezoid EFGH

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z ---> the scale factor

x ----> the perimeter of trapezoid ABCD

y ----> the perimeter of trapezoid EFGH

so

z=\frac{x}{y}

we have

z=\frac{2}{3}

x=32\ cm

substitute

\frac{2}{3}=\frac{32}{y}

y=32(3)/2=48\ cm

therefore

The perimeter of trapezoid EFGH is 48 centimeters

3 0
2 years ago
Please help on number 15 thank you!
Serggg [28]
It's b because it's b !
6 0
3 years ago
Write an equation for the line<br><br> With a slope of -3 and a y-intercept of 1 ________
pashok25 [27]

y=-3x+1 is the equation

3 0
2 years ago
Other questions:
  • What is the solution to the equation 1 over 5 multiplied by n equals 3
    14·2 answers
  • Directions: Drag each tile to the correct box.
    6·2 answers
  • How to solve 7x-5=6x-4
    6·1 answer
  • Which of the following tangent points on g(x)=36/(x - 1) has an instantaneous rate of change of -9?
    13·2 answers
  • Super easy question please help!
    6·2 answers
  • a team of 4 people participate in a 400-yard relay race each team member runs the same distance the team completes the race in 5
    12·1 answer
  • Fran painted 1/2 of the fence around her house.What are two other ways to name 1/2
    5·1 answer
  • On Saturday, Stan was paid $49.50 for washing 9 cars. On Sunday, he was paid $33 for washing 6 cars. How much is Stan paid to wa
    14·2 answers
  • Answer ASAP
    6·1 answer
  • Could someone help me please?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!