Use the number line to show and explain why 4/10 ÷ 2 and 4/10 × 1/2 both equal 2/10

Answers

Answer 1

Step-by-step explanation:

When you divide by a number, you basically are multiplying by the reciprocal

The reciprocal of 2 is 1/2

4/10 ÷ 2 = 4/10 × 1/2 = 2/10

4/10 × 1/2 = 2/10

Using a number line,

Start at 4/10 and move down by 2 until you reach 0

Start at 4/10 and move up by 1/2 from 0 until you reach 4/10

(Count the number of humps)

Both will be the same


Related Questions

how many powers with an exponent of 2 are there between 1 and 100?

Answers

the answer should be 100, the tables just keep going til 100

There are 10 perfect squares between 1 and 100, and 10 powers with an exponent of 2 between 1 and 100.

What is Number system?

A number system is defined as a system of writing to express numbers.

Between 1 and 100, the perfect squares (numbers that can be expressed as the square of an integer) have exponents of 2.

We need to count the number of perfect squares between 1 and 100. These include:

1² = 1

2² = 4

3²= 9

4² = 16

5² = 25

6² = 36

7²= 49

8² = 64

9² = 81

10² = 100

So, there are 10 perfect squares between 1 and 100, and therefore 10 powers with an exponent of 2 between 1 and 100.

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ3

Chau and Yoko each opened a savings account today. Chau opened his account with a starting amount of $460, and he is going to put in $60 per month. Yoko opened her account with a starting amount of $530, and she is going to put in $50 per month.
Let x be the number of months after today.

(a) For each account, write an expression for the amount of money in the account after x months.

Amount of money in Chau's account (In dollars) =

Amount of money in Yoko's account (in dollars) =

(b) Write an equation to show when the two accounts would have the same amount of money.

Answers

Answer:

A1-60x+460

A2-50x+530

B-60x7+460

50x7+530

Step-by-step explanation:

A1 and A2-since x is equivalent to number of months we multiply the number of months then add it to the original cost to get how much total you get in the account.

B-you add 50 to 530 and 60 to 460 until they equal the same amount in this case its 7 times.

Simplify the expreesion (6x²) (4x²)

Answers

Answer:

the answer is 24x⁴

first you multiply 6 by 4,

next you multiply X² by x², which really means you add the numbers on top of the variable

Harold is moving a 5- foot tall refrigerator. He tilts it onto its rear edge forming an angle between the back of the refrigerator and the floor; the top edge of the tilted refrigerator is exactly 4 feet above the floor as shown in the following diagram.

What is the cosine of the angle the refrigerator makes with the floor?

A, 4/5

B, 5/4

C, 4/3

D, 3/4

E, 3/5

Please help I’ll give branliest

Answers

A sorry if I’m wrong

The cosine of the angle the refrigerator makes with the floor is option (E) 3/5 is the correct answer.

What is trigonometry?

Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.

For the given situation,

Harold tilted the 5 foot fridge, so the slanting height = 5 feet

The tilted refrigerator makes the height 4 feet from the floor.

From the diagram,

The three sides of the triangle according to Pythagoras theorem are

Hypotenuse side, h = 5 feet

Opposite side, o = 4 feet

Let a be the adjacent side.

By Pythagoras theorem,

[tex]Hypotenuse^{2} = Opposite^{2}+Adjacent^{2}[/tex]

⇒ [tex]5^{2} =4^{2} +a^{2}[/tex]

⇒ [tex]a^{2} = 25-16[/tex]

⇒ [tex]a=\sqrt{9}[/tex]

⇒ [tex]a=3[/tex]

Thus the trigonometric ratio cosine of the angle is

[tex]cos \theta =\frac{Adjacent}{Hypotenuse}[/tex]

⇒ [tex]cos \theta =\frac{3}{5}[/tex]

Hence we can conclude that the cosine of the angle the refrigerator makes with the floor is option (E) 3/5 is the correct answer.

Learn more about trigonometry here

https://brainly.com/question/16965914

#SPJ2

when the short hand of a clock moves through 12 o clock to 3 o'clock what angle is formed

Answers

Answer:

90* angle or also called a right angle.

Step-by-step explanation:

1 NEED HELP ASAP WILL GIVE BRAINLY

Answers

Answer:

c

Step-by-step explanation:

I believe its c I've done this last semester

Angle 3 and 7 are corresponding angles.

What is an equation of the line that passes through the points (-6,-2) and (-3,-3)

Answers

Answer:

y = -1/3x - 4

Step-by-step explanation:

m = -1/3

y = -4

Hope this helps! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

Answer:

y=-9x+5

Step-by-step explanation:

A recipe for beef fajitas uses 5 pounds of beef to make 20 meals. How many pounds of beef are needed to make 80 meals?

Answers

Answer: 0.25 pound of beef are needed to make 80 meals.

Step-by-step explanation:

Given : A recipe for beef fajitas uses 5 pounds of beef to make 20 meals.

Then the of beef required for 1 mesal = ( 5 pounds) ÷ 20

= [tex]\dfrac{5}{20}[/tex] pound

[tex]=\dfrac{1}{4} [\text{Divide numerator and denominator}][/tex]

=0.25 pound

Hence, 0.25 pound of beef are needed to make 80 meals.

when you Subtract: 70-(-11) what is your answer

Answers

Answer:

81

Step-by-step explanation:

Which of the following expressions is equivalent to (2x)3 ?


Group of answer choices

6x4

2x3

8x3

6x3
btw the numbers on the right are exponents

Answers

Answer:

6x3

Step-by-step explanation:

....................

A square has an area of 36 m2. The square is scaled in such a way that its area is increased by 28 m2. What is the approximate factor by which the length of the side of the square is increased?

Answers

Answer:

28/36 shd give u the answer

answer in 1:ur answer

In ΔWXY, x = 1.2 inches, y = 3.1 inches and ∠W=131°. Find ∠X, to the nearest 10th of an degree.

Answers

Answer:

13.1

Step-by-step explanation:.

Solve for x. Enter the solutions from least to greatest. (−5x+4)(x−3)=0
lesser x=
greater x=

Answers

X=4/5
X=3

Hope it helps

how many 0 are in 123456789123456789000012010100101010101010101010010

Answers

Answer:

19

Step-by-step explanation:

:)

The answer is 19 yuhhhhh

How do i slove for x2 + 19 = 3

Answers

Answer:

x = ± 4i

Step-by-step explanation:

x^2 + 19 = 3

Subtract 19 from each side

x^2 +19-19 = 3-19

x^2 = -16

Take the square root of each side

sqrt(x^2) = sqrt(-16)

x = sqrt(-1*16)

x =sqrt(-1) * sqrt(16)

We know that the square root of -1 is the imaginary number i

x = ± 4i

please help with question 2 50 points for answer and brainliest

Answers

Answer:

b) Reflection over y = -2

Step-by-step explanation:

Reflection over y = -2

Help please I do not get this problem at all

Answers

Answer:

It should be 4. The ratio that AC is equal to DE at should be equal to the ratio of BE to BC. If you want an explanation I'd be happy to add one!

Help me on this please

Answers

Answer:

14. y=10

Step-by-step explanation:

3y-7=23

   +7   +7

3y=30

----  -----

3       3

y=10

Answer:

y=10j=8

Step-by-step explanation:

[tex]3y-7=23[/tex]

Collect like terms and simplify

[tex]3y =23+7\\3y=30[/tex]

Divide both sides of the equation by 3

[tex]\frac{3y}{3} = \frac{30}{3}[/tex]

Simplify

[tex]y=10[/tex]    

2.

[tex]\frac{3(j-1)}{2}=12 + \frac{2-j}{4} \\\\\mathrm{Multiply\:by\:LCM=}4\\\\\frac{3\left(j-1\right)}{2}\times\:4=12\times\:4+\frac{2-j}{4}\times\:4\\\\Simplify\\6\left(j-1\right)=-j+50\\\\Expand\:6\left(j-1\right) :6j-6\\\\6j-6=-j+50\\\\\mathrm{Add\:}6\mathrm{\:to\:both\:sides}\\6j-6+6=-j+50+6\\\\Simplify\\6j=-j+56\\\\\mathrm{Add\:}j\mathrm{\:to\:both\:sides}\\6j+j=-j+56+j\\\\Simplify\\7j=56\\\\\mathrm{Divide\:both\:sides\:by\:}7\\\frac{7j}{7}=\frac{56}{7}\\\\Simplify\\j=8[/tex]

Help Plz
WIll mark brainliest

Answers

Answer:

y=+|x-3|

Step-by-step explanation:

We know it is positive because it is expanding upward. So +. We know it is x-3 because if it is inside the absolute value signs, the constant(-3 in this case) is opposite. So it is 3. And 3 matches with the vertex of the graph. And the ending is 0, so I omitted it bc its still on the x intercept, meaning it has a y value of 0.

Answer:

fam good luck

Step-by-step explanation:

Over the past few years Donald made 40 trips to the amusement park. He drove 400 km in all. The distance travelled by him on each trip to the park is:

Answers

Answer:

10

Step-by-step explanation:

Answer:

10 km

Step-by-step explanation:

total no of km covered=400

total no of trips=40

distance in each trip= 400/40

=10km

What angle has a degrees over 180?
Right
Rex
Straight
Acute

Answers

It’s a straight angle

PLEASE HELP PRE ALGEBRA EASY 10 POINTS

Answers

What I’m support to fine it in the graph or find the slop, solve for x or y???? Put the whole question so I can help you

Please answer!!! I’ll make brainliest

Answers

Answer: 30

Step-by-step explanation:

1. Use the Pythagorean theorem ([tex]A^{2} +B^{2} = C^{2}[/tex])

 

[tex]18^{2} +24^{2} =C^{2} \\324 + 576 = C^{2} \\900 = C^{2} \\\sqrt{900} = \sqrt{C^{2} } \\30 = C\\[/tex]

Step-by-step explanation:

so in this case, you use the pythagoras theorem:

hypotenuse= opposite squared + adjacent squared

since we don't have a hypotenuse, let's name is H

soo it will be

H= 18 squared + 24 squared

H = 324+ 576

H= 900

so you find the square root of 900 which is 30

so, therefore the answer is 30

Use the Distance Formula to find the distance between each pair of points. Round to the nearest tenth if necessary.
5. P(1, 1), Q(–1, –1)














6. E(1/2,4 1/4),F(5,-1/2)

Answers

Given:

The pair of points.

5. P(1, 1), Q(–1, –1)

6. [tex]E\left(\dfrac{1}{2},4\dfrac{1}{4}\right), F\left(5,-\dfrac{1}{2}\right)[/tex]

To find:

The distance between the pair of points.

Solution:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

5.

The distance between the pair of points P(1, 1) and Q(–1, –1) is:

[tex]PQ=\sqrt{(-1-1)^2+(-1-1)^2}[/tex]

[tex]PQ=\sqrt{(-2)^2+(-2)^2}[/tex]

[tex]PQ=\sqrt{4+4}[/tex]

[tex]PQ=\sqrt{8}[/tex]

[tex]PQ=2\sqrt{2}[/tex]

Therefore, the distance between P and Q is [tex]2\sqrt{2}[/tex].

6.

The distance between the pair of point [tex]E\left(\dfrac{1}{2},4\dfrac{1}{4}\right), F\left(5,-\dfrac{1}{2}\right)[/tex] is:

[tex]EF=\sqrt{\left(5-\dfrac{1}{2}\right)^2+\left(-\dfrac{1}{2}-4\dfrac{1}{4}\right)^2}[/tex]

[tex]EF=\sqrt{\left(\dfrac{10-1}{2}\right)^2+\left(-\dfrac{1}{2}-\dfrac{17}{4}\right)^2}[/tex]

[tex]EF=\sqrt{\left(\dfrac{9}{2}\right)^2+\left(\dfrac{-2-17}{4}\right)^2}[/tex]

[tex]EF=\sqrt{\dfrac{81}{4}+\left(\dfrac{-19}{4}\right)^2}[/tex]

On further simplification, we get

[tex]EF=\sqrt{\dfrac{81}{4}+\dfrac{361}{16}}[/tex]

[tex]EF=\sqrt{\dfrac{324+361}{16}}[/tex]

[tex]EF=\sqrt{\dfrac{685}{16}}[/tex]

[tex]EF=\sqrt{42.8125 }[/tex]

[tex]EF\approx 6.5[/tex]

Therefore, the distance between E and F is 6.5 units.

help nowwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww

Answers

Answer:

I beleive is is -2% because 5 is 2 more than 3

so then 5-2=3

Answer:

Error Is 100(2/3) 66.7%

2x+45-56=9x+54+23
Solve for x please

Answers

Answer:

x = -12.57

Step-by-step explanation:

2x + 45 - 56 = 9x + 54 + 23

2x - 11 = 9x + 77

-11 = 7x + 77

-88 = 7x

x = -12.57

It would probably be X=-12.57

What is the slope of the line in the
graph?

Answers

the slope is a positive one.

the equation would be y = x + 1

Answer:

y = x + 1

Step-by-step explanation:

x because the change is x is 1. And the change in y is also 1. 1/1 can be written as x.

The line crosses the y axis on 1, making it the y-intercept.

[tex]5^{2}= 55[/tex]

Answers

Answer:

bugahhh

Step-by-step explanation:

bugahhh

Answer:

2 is actually 11

Step-by-step explanation:

5 x 11 = 55

divide 5 from both sides to get,

2 = 11

I think you meant two as a variable maybe?

At a hospital, 56 percent of the babies born are not girls. Of the baby girls born, 12 percent are premature. What is the probability of a premature baby girl being born at this hospital? Round to the nearest percent.

5%
7%
21%
27%

Answers

Answer:

It's the first option 5%

Step-by-step explanation:

The probability of a premature baby girl being born at this hospital is,

⇒ 5%

What is mean by Probability?

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one

Now, If the likelihood of boys being born is 56%,

Then, the complement of that is the likelihood of girls being born which is,

⇒ 100% - 56% = 44%.

Since, we are given that of the baby girls born, 12% are premature, the probability of a premature baby girl  being born is:

⇒ (0.44)(0.12)

= 0.0528

⇒ 5.28%

Thus, The probability of a premature baby girl being born at this hospital is,

⇒ 5%

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ7

What two numbers multiply to get 7 and add to get -8

Answers

Answer:

-7 and -1

Step-by-step explanation:

-7x-1=7

-7-1=-6

-7 and -1

- have a great day

Other Questions
How did the Open Door Policy contribute to the coming of the Boxer Rebellion?A. It contributed to conflict between western nationsB. It led to bitterness among American workersC. Chinese people resented Western imperialismD. It resulted in US involvement in Latin American economies PLEASE HELP!!Use a system of equations to find two numbers with a difference of 2 and a sum of -8. Show your work. Describe how land and religion are reason for continuing conflict in the Middle East. Which has more thermal energy: a snowman or a lit match?Group of answer choicessnowmanlit matchNo answer text provided. if you were an actor saying the line below what TWO vocal skills would you choose to show that the character is about to end the friendship explain in 2-4 sentences."how could you do this to me? i thought we were friends."PLS BE QUICK True or False: The amount of water has and will always remain about the same? PLEASE ANSWER FAST!!!!! What is the metonym to this metonymy?That fancy vegetable dish you made was the best part of the meal.Im thinking its part... :P She must throw two fair dice. She must get a 6 on each dice to start the game. Work out the probability that she will not start the game on her first throw. this type of consistent adaptation between two species is known as 6. Which domain includes all multi-cellular organisms?a. Eukaryab. Bacteriac. Archaead. None of the above Did the US contain communism with the Vietnam war? Find the sum of the first 30 terms of the following series, to the nearest integer.2, 8, 14, ... What is the dynamic of type 1 diabetes process concerning cellular disruption and what is its effect on the major body systems?Please help, will give brainliest Why was the institution of slavery a paradox in the United States?It went against the ideals of freedom on which the nation was foundedThe Supreme Court ruled that the institution of slavery was illegalSlavery had existed throughout the world for thousands of yearsPeople in the North refused to allow escaped enslaved people to live in their states Shakespeare's plays continue to be popular todaybecause...Ahe told stories with new and exciting themesthat no one had ever explored.Bhe told stories that everyone could understandand be interested in.his writing style was descriptive and continuesto capture audiences,Dhis stories were uncomplicated and can easilybe adapted for modern times, The following transactions took place for Smart Solutions Inc. 2017 a. July 1 Loaned $71,000 to an employee of the company and received back a one-year, 9 percent note. b. Dec. 31 Accrued interest on the note. 2018 c. July 1 Received interest on the note. (No interest has been recorded since December 31.) d. July 1 Received principal on the note. Required: Prepare the journal entries that Smart Solutions Inc. would record for the above transactions. Jill buys two circular pizzas. The small pizza has an 8-inch diameter.The medium pizza has a 12-inch diameter. How much greater, in square inches, is the area of the medium pizza than the small pizza?Roundyour answer to the nearest tenth. The maximum number of individuals that a populationcan support and sustain is known as ?A Carrying capacityB Limiting FactorC MigrationD Density Yesterday movie theaters sold 261 bags of popcorn a large bag of popcorn cost three dollars a small bag of popcorn cost one dollar in all the movie theater made $443 from popcorn sales right and solve a system of equations to find how many bags of each size of popcorn were sold