The number of lines shows 5/7 and 10/14. Which statement is true?

The Number Of Lines Shows 5/7 And 10/14. Which Statement Is True?

Answers

Answer 1

Answer:

[tex]\frac{5}{7} = \frac{10}{14}[/tex] because [tex]\frac{5}{7} = \frac{(5)(2)}{(7)(2)} = \frac{10}{14}[/tex].

Step-by-step explanation:

Looking at the number line, we can see that the highlighted parts go the same distance on the number line, therefore the fractions are equal. The number of equal parts, the size of a single equal part, or the denominators of two fractions do not matter. It's the total size made of up of those equal parts that counts.

Also, you can even convert [tex]\frac{5}{7}[/tex] into [tex]\frac{10}{14}[/tex] by multiplying BOTH the denominator and numerator by 2. When doing this with any number, regardless if it's 2, the original fraction and the converted fraction will still be equal.


Related Questions

Which of the following is an example of a unit rate?

a. John earns $15 for mowing three lawns
b. Kelly types 90 words per minute
c. Indra earns two detentions every two weeks
d. Three bags of chips cost $3.75

Answers

Answer:

I think it's b or c because a unit rate is a ratio which the two terms are in different units

Which expression does the graphic represent? 8 positive tiles. 1 tile is crossed out. 7 minus 1 7 minus (negative 1) 8 minus 1 8 minus (negative 1)

Answers

Answer:

7-(-1)

Step-by-step explanation:

Answer: Ur answer is B

Step-by-step explanation:


wait can sm1 like pls help me i have a d in this class

Answers

Haha hope it’s right!

4(46+2b= 3(b-11
what is the answers

Answers

Answer:

4(4b+3)+2b=3(b-11)16b+12+2b=3b-3318b+12=3b-3318b-3b=-33-1215b=-45b=-45/15b=-3

In a two-digit number, the unit's digit is 2 more than that of the ten's digit. The sum of the digits is 27 less than the number. Find the product of the digits of the number

Answers

Answer:

15 is the product of the digits of the number

Step-by-step explanation:

Let the two digit number be xy

Unit digit is 2 more than ten’s digit

y - x = 2 ••••••(i)

Secondly;

x + y = (10x + y) - 27 •••••(ii)

From i, y = x + 2

Put this into ii

x + x + 2 = 10x + x + 2 - 27

2x + 2 = 11x - 25

11x - 2x = 25 + 2

9x = 27

x = 27/9

x = 3

From above;

y = x + 2

y = 3 + 2 = 5

The product of the numbers xy will be 5 * 3 = 15

What is 42653 rounded to the nearest ten

Answers

Answer: 42650

Step-by-step explanation:

The tens place is behind the ones place.

The number in the tens place in 42653 is 5.

So to round to the nearest tens you have to change three to 0 because if the number in the ones place is 5 or more, then the number in the tens place would be 1 higher than it used to be while the number in the ones place turns to 0.

However if the number in the ones place is less than 5, then that's the only thing that changes, the ones place would change into a '0.'

Hope that helped!

42650 is the value of the 426563 when rounded to the nearest ten.

What is place value?

The value a digit in a number represents based on where it is in the number is known as place value.

Given, the number 42653 which is rounded to the nearest ten value needs to find. Since,

The one's place is in front of the tens place.  In the number 42653, the tens place value is 5. The number three must be changed to 0 in order to round to the next tens because, if the number in the one's place is 5 or greater, the number in the ten's place would be 1 higher than it was previously while the number in the one's place would become 0. The one's place would change to a "0" if the number in the one's place is less than 5, but that is all that changes.

Therefore, When rounded to the nearest ten, 42650 represents the value of 426563.

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What is the answer of the question

Answers

n-8=20 is the one
probably the one cut off

Answer:

n - 8  = 20

Step-by-step explanation:

if p=3+2√2 find the values of p+1/p​

Answers

Answer: 1,71572875

Step-by-step explanation: (4+2rad2)/3+2rad2

Answer:

6

Step-by-step explanation:

1/p = 1/(3 + 2sqrt2)

Multiplying by the conjugate (which you should pretty much always do to simplify), we get

(3-2sqrt2)/((3+2srqt)(3-2sqrt2))

which is

(3-2sqrt2)/(9-8) = 3-2sqrt2.

Therefore p + 1/p = 3+2sqrt2 + 3 - 2sqrt2 = 6

Simplify the expression below:

3(4 x + 2y)​

Answers

Answer:

12x+6y

Step-by-step explanation:

Could someone help me I’m almost done please please

Answers

y=4

Step-by-step explanation:

cube root 64

Y equals 4
Volume = length * width* height
64 = y^3
4^3=64
So y = 4 cm

please help

write the fraction as a decimal​

Answers

Answer:

it's 7 divided by 10

transfer the 0 up and make it 0.7

Find the coordinates of the midpoint of the segment with the endpoints M(-5,9) and N(-2,7).

Answers

Answer:

(-3.5 , 8)

Step-by-step explanation:

midpoint (x , y)

x = (-5 + -2) / 2 = -7/2 = -3.5

y = (9 + 7) / 2 = 16/2 = 8

A number c divided by 9 is less than or equal to -23 .

Answers

Answer:

c [tex]\leq[/tex] -207

Step-by-step explanation:

Create an inequality and solve for c:

[tex]\frac{c}{9}[/tex] [tex]\leq[/tex] -23

Multiply by 9 on each side:

c [tex]\leq[/tex] -207 is the answer

A mass of 50 g decreased by 17%. What is the new
mass?

Answers

Answer:

8.5g

Step-by-step explanation:

the mass decreased by 17%,so the decrease in mass 17% of 50g.17% of 50 = 0.17 × 50 =8.5 the mass decreased by 8.5g

The mass is decreased by [tex]8.5g[/tex].

What is the percentage?

A percentage is a number or ratio expressed as a fraction of [tex]100[/tex]. It is often denoted using the percent sign, "%".

Here given that,

A mass of [tex]50[/tex] g decreased by [tex]17[/tex] %.

So, in the mass [tex]17[/tex] % of [tex]50g[/tex] and of [tex]50g[/tex] is [tex]17[/tex] % is of the form:-

[tex]50=0.17[/tex] ×[tex]50=8.5[/tex]

Hence, the mass is decreased by [tex]8.5g[/tex].

To know more about the percentage

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Nick divides 527 baseball cards evenly into 17 stacks. How many baseball cards are in each stack?
This is division btw.

Answers

Answer:

Its 31

Step-by-step explanation:

Just Use A Calculator

Find the value of x.

Answers

Answer:

x = 132°

Step-by-step explanation:

sum of total exterior angles = 360°

x + 147° + 81° = 360°

x + 228° = 360°

x = 360° - 228°

x = 132°

what is the slope of the line?? PLZ help

Answers

the slope is 2 hopefully this helps
y=2x+0

The line starts at 0 and goes up by 2 from there.

PLEASE SHOW FULL SOLUTIONS!!!!!! WILL MARK BRAINLIEST TO THE BEST ANSWER!!! THANK YOU AND GOD BLESS...

Answers

9514 1404 393

Answer:

x = 60y = 50

Step-by-step explanation:

The linear pair at G totals 180°, so we have ...

  x + 2x = 180

  3x = 180 . . . . . collect terms

  x = 180/3 . . . divide by 3

  x = 60

__

The total of angles in the triangle is 180°, so ...

  x + y + 70 = 180

  60 + y + 70 = 180 . . . . substitute for x

  y = 180 -130 . . . . . . . . . subtract 130

  y = 50

you saved $250.00 to spend over the summer. You decide to budget $25.00 to spend a week. Define the variable and write a function that represents this situation

Answers

Answer:

200

Step-by-step explanation:

Triangle ABC is shown. DE is a straight line with D on AC and E on BC AB = 46m, EC = 18m, CD = 29m and ED = 20m. Calculate the length AD.

Answers

Answer:

37.7m

Step-by-step explanation:

Triangle ABC is shown. DE is a straight line with D on AC and E on BC AB = 46m, EC = 18m, CD = 29m and ED = 20m. Calculate the length AD.

We solve using Similarity Theorem

BA/AC =BD/DC

46/AD+29 = 20/29

Cross Multiply

46 × 29 =20 (AD + 29)

1334 = 20AD + 580

20AD = 1334 - 580

20AD = 754

AD = 754/20

AD = 37.7m

HELP PLZ
Solve each proportion for the variable​

Answers

Answer:

x = -1

Step-by-step explanation:

4/12 can be simplified to 1/3

1         x+2

---  = --------------

3          2x+5

Using cross products

1 ( 2x+5) = 3 (x+2)

Distribute

2x+5 = 3x+6

Subtract 2x from each side

2x+5-2x = 3x+6-2x

5 = x+6

Subtract 6 from each side

5-6 = x+6-6

-1 =x

Answer:

Step-by-step explanation:

Key skills: Proportions, One variable equations, Multiplication, Distribution Property

1) The best approach to this problem is with cross multiplication.

Cross multiplication is where we multiply the numerator of one fraction with the denominator of the other fraction, and the denominator of one fraction with the numerator of the other fraction.

2) Here we would do: 4(2x+5) and 12(x+2)

3) Since this is a proportion --> 4(2x+5) = 12(x+2)

4) Now, we use distribution property to expand both.

4(2x+5) --> 8x+ 20                      12(x+2) --> 12x+24

5) With simplifying we can solve for x:

8x+20=12x+24 We then move the 12x to the left side, and the 20 to the right side:            8x-12x=24-20Now we combine like terms: -4x=4Then we divide by -4 on both sides to solve for x. x=-1

If you plug in x=-1 back into the equation: 4/12= 1/3

4/12 does equal 1/3 so x= -1 is the right answer.

Hope you have a nice day and understood this problem explanation!! :D

Write the slope-intercept form of the equation of each line.

Answers

Answer:

1) positive 2)negative 3)negative

Step-by-step explanation:

i hope thats what your asking

Solve for a. √a−b+c=3
a=9+b−c
a=3+√b−√c
a=3+b−c
a=9+√b−√c

Answers

The required solution of the given expression is a = 9 + b- c. Option A is correct.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression
√a−b+c=3
Squaring both sides,
a - b + c = 9
Rearrange the equation in order of a,
a = 9 + b - c

Thus, the required solution of the given expression is a = 9 + b - c. Option A is correct.

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1. 7p - 6pc + 3c - 2 Number of terms: Coefficients: Constant terms:​

Answers

Step-by-step explanation:

Given:

7p - 6pc + 3c - 2

Find:

Number of terms

Coefficients

Constant terms

Computation:

Number of terms = 4

Coefficients = (7, -6, 3)

Constant terms = -2

The first three terms of an arithmetic sequence are as follows. - 7, - 3, 1 Find the next two terms of this sequence
Please help

Answers

Answer:

5, 9

Step-by-step explanation:

To obtain the next term in a sequence add the common difference d to the previous term.

d = a₂ - a₁ = - 3 - (- 7) = - 3 + 7 = 4

Thus

a₄ = a₃ + 4 = 1 + 4 = 5

a₅ = a₄ + 4 = 5 + 4 = 9

Thomas drew a line of best fit for the scatter plot as shown. Enter an equation for the line of best fit in slope-intercept form. The line of best fit equation in slope-intercept form is y =

Answers

Answer:

Equation of line best fits the scatter plot is y = [tex]-\frac{30}{7} x + 108[/tex]

Step-by-step explanation:

Let the equation of line be y = mx + c

where m = slope of line and c is the intercept on y -axis

from the graph intercept on y-axis is 108

and the slope of line is given by m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] where ([tex]x_2,y_2[/tex]) and ([tex]x_1,y_1[/tex]) is the points on line

let, points be (4,96) and (18,36)

on calculating this m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] = [tex]-\frac{30}{7}[/tex]

Therefore equation of line best fits the scatter plot is y = [tex]-\frac{30}{7} x + 108[/tex]

How does a reflection across the y-axis change the coordinates of a shape?

Answers

Answer:

in (x,y), it becomes (-x,y)

Step-by-step explanation:

A circle has an area of 2290.221. What is the radius? (round to the nearest whole number)

Answers

Answer: 27

Step-by-step explanation:

use the formula for the area of circle and solve for r: A=pi r^2

2290.221=pir^2 <---divide by pi

729=r^2 <--- square root both sides

27=r

First and second place in a contest use a ratio to share a cash prize. When first place pays $100, second place pays $60. How much does first place pay when second place pays $36?

Answers

Answer:

100/60×36

=$60 is what the first one will pay

=

Step-by-step explanation:

Order these Quadratic Functions from the narrowest to widest listed as 1,2,3,4

Answers

Answer:

From narrowest to widest:

1) [tex]8\cdot x^{2} + 2\cdot x +5[/tex]

2) [tex]5\cdot x^{2}-1[/tex]

3) [tex]2\cdot x^{2}+4[/tex]

4) [tex]\frac{2}{5}\cdot x^{2}+3\cdot x -5[/tex]

Step-by-step explanation:

The "width" of the quadratic function is determined by the value of the coefficient associated by the monomial of highest grade, with respect to the primitive of the quadratic function, represented by [tex]y = x^{2}[/tex], whose ruling coefficient is 1. If the ruling coefficient of the quadratic function is greater than  one, then the curve becomes narrower at the same time that the coefficient increases. Otherwise, if the ruling coefficient of the quadratic function is greater than zero and less than 1, then the curve becomes wider at the same time that the coefficient approximates to zero.

Based on this considerations, we proceed to list the quadratic functions from the narrowest to widest:

1) [tex]8\cdot x^{2} + 2\cdot x +5[/tex]

2) [tex]5\cdot x^{2}-1[/tex]

3) [tex]2\cdot x^{2}+4[/tex]

4) [tex]\frac{2}{5}\cdot x^{2}+3\cdot x -5[/tex]

Lastly, we include a graphic with all polynomials (tagged as 1, 2, 3, 4) in comparison primitive function (tagged as 0).

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