Use equivalent fractions to write an expression equivalent to 2/15 + 3/5

Answers

Answer 1

Answer:

2/15+3/15. = (5×2)+(15×3)/15×5 = 10+45/75=55/75 ÷5=11/15


Related Questions

solve trigonometric function
cot0/tan0

Answers

Answer:

[tex]\dfrac{1}{\tan^2(\theta)}}=\cot^2(\theta)[/tex]

Step-by-step explanation:

[tex]\cot(\theta)=\dfrac{1}{\tan(\theta)}[/tex]

[tex]\implies \dfrac{\cot(\theta)}{\tan(\theta)}=\dfrac{1}{\tan(\theta)}\div{\tan(\theta)}}=\dfrac{1}{\tan(\theta)} \times \dfrac{1}{\tan(\theta)} =\dfrac{1}{\tan^2(\theta)}}=\cot^2(\theta)[/tex]

[tex]\\ \rm\Rrightarrow cotA\div tanA[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{cosA}{sinA}\div \dfrac{sinA}{cosA}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{cosA}{sinA}\times \dfrac{cosA}{sinA}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{cos^2A}{sin^2A}[/tex]

[tex]\\ \rm\Rrightarrow cot^2A[/tex]

Note

theta is taken as A

I have 2 pencils. My sister has 5 pencils. What fraction of my sister's pencils are my pencils?

Answers

Answer:

2/5 (2 by 5) hope this helps :)

S = ut + 12 at?
u= 10 a = -2 t =
t
+ = Ź
Work out the value of s.

Answers

Answer:

s=10×t+12×-2×t

s=-2+10+12×2t

s=-2+22×2t

s=20×2t

t=10

s=92

Figure A is a scale image of Figure B.

What is the value of x?

Answers

Answer:

5.4

Step-by-step explanation:

7.2/4 =1.8

3x1.8 = 5.4

multiply the following expressions
81x5y6 × (-1x2y)​

Answers

Answer: -4860y^2

Solution:
81 x (5y x 6) x (-2y)
-81 x 5y x 6 x 2y
= -4860y^2

find the rate of change: (18, 4.5) (20, 5) (22, 5.5) (24, 6)

Answers

Answer:

The rate of change for the

X is +2

The rate of change for the

Y is + 0.5

Step-by-step explanation:

No need

the anwser to this question is 5

what is the answer to 3?

Answers

the answer for number 3 is 18

Answer:

Step-by-step explanation:

First, you have to find the perimeter of the base. You do that by adding all the sides,

There are two sides that are 13 mm and two sides that are 6 mm
13 + 13 is 26
6 + 6 is 12
26 + 12 is 38

Now you have the perimeter. Now you have to multiply is by the highest

So 38*14 (532)

If I understand it correctly

Last three I need TT

Answers

Answer:

I used sine rule to find the length of b

What is the side length of the largest square that can fit into a circle with a radius of 5 units?

Answers

Answer:

7.07 Units

Step-by-step explanation:

This question has been answered previously here on Brainly. For a full and in depth explanation I would search this question up directly.

I don't know what stock is

Answers

Step-by-step explanation:

Analysing a company's fundamentals will tell you a stock's intrinsic value, as opposed to the value at which it is being traded. If the intrinsic value is more than the current share price, your analysis is showing that the stock is worth more than its price and that it makes sense to buy the stock.

If f(x) =x^2-2and g(x) = x-3, what is (f)(g)(x)?.

Answers

Answer:

i think this is the answer for the first part then second part is y 0 -3 slope 1

PLEASE PLEASE HELP ME!! I AM IN TESPARATE NEED OF HELP!!! PLEASE I AM BEGGING AT THIS POINT!!

Answers

Answer:

a)  13/10

b) [tex]y+15=\dfrac{13}{10}(x-5)[/tex]

c) [tex]y+2=\dfrac{13}{10}(x-15)[/tex]

d) Both equations are [tex]y=\dfrac{13}{10}x-\dfrac{43}{2}[/tex] so represent the same line

e) [tex]-\dfrac{43}{2}[/tex] °F  ⇒ y-intercept

Step-by-step explanation:

a)  Choose two ordered pairs from the table: (5, -15) and (15, -2)

Let [tex](x_1,y_1)[/tex] = (5, -15)

Let [tex](x_2,y_2)[/tex] = (15, -2)

Use the slope formula to find slope: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\implies m=\dfrac{-2+15}{15-5}=\dfrac{13}{10}[/tex]

b)  Use point-slope with (5, -15)

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y+15=\dfrac{13}{10}(x-5)[/tex]

c)  Use point-slope with (15, -2)

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y+2=\dfrac{13}{10}(x-15)[/tex]

d)

[tex]\implies y+15=\dfrac{13}{10}(x-5)[/tex]

[tex]\implies y=\dfrac{13}{10}x-\dfrac{43}{2}[/tex]

[tex]\implies y+2=\dfrac{13}{10}(x-15)[/tex]

[tex]\implies y=\dfrac{13}{10}x-\dfrac{43}{2}[/tex]

Therefore, they represent the same line

e) when x = 0:

[tex]y=\dfrac{13}{10}(0)-\dfrac{43}{2}=-\dfrac{43}{2}[/tex] °F

Represents the y-intercept on the graph

HELPP MEEEEEEE PLEASEEEE

Answers

Answer:

0.5

Step-by-step explanation:

Answer:

for question 3 the answer is 0.5 because 1/2 = 2/4 = 4/8 = 0.5

An animal shelter has 10 cats. Each day 20 cans of food are noworo
used for the cats. If each cat eats the same amount of food,
how many cans of food does each cat eat in a day?

Answers

Answer:

[tex]\huge\boxed{\bf\:\boxed{\mathfrak{2}}\:cans\:each}[/tex]

Step-by-step explanation:

We need to find the number of cans of food each cat in the animal shelter gets per day.

Given,

Total number of cats in the animal shelter = 10Total number of cans used = 20

So,

Number of cans for each cat:

= Total number of cans / Total number of cats

= 20/10

= 2 cans each

[tex]\rule{150}{2}[/tex]

vincent sells potatoes. He doesn’t sell potatoes my weight or one at a time. he insists on selling them in pairs.his customer graham wants a potato that weighs exactly 200g. Vincent tells him I only have 3 potatoes left. HERe they are A,B and C. A and B together weigh 300g, A and C together weigh 500g, B and C together weigh 400g. You can have any pair of them. Which if any of the potatoes weighs 200g? Which pair of potatoes should graham buy?

Answers

By solving a system of equations we will see that the best pair to buy is A and C.

Finding the equations:

Here we have 3 potatoes, A, B, and C. Let's use these variables to define the weight of each potato.

Then, from the given information, we know that:

A + C = 500g

B + C = 400g

A + B = 300g

Then we have a system of equations, to solve it, first we isolate one of the variables in one of the equations. I will isolate A on the first one:

A + C = 500g

A  = 500g - C

Now we can replace that in the third equation, now we have:

B + C = 400g

500g - C + B = 300g

Now we do the same thing, this time I will isolate C.

C = 400g - B

Let's replace this on the other equation:

500g - (400g - B) + B = 300g

500g - 400g + 2*B = 300g

100g + 2*B = 300g

B = (300g - 100g)/2 = 100g

So potato B weighs 100g.

We can use that to find the weight of the other two:

C = 400g - B = 400g - 100g = 300g

A  = 500g - 300g = 200g

What pair should Graham buy?

He wants 200g of potato, so he should buy one pair that includes potato A, which weight exactly 200g. And to get the most of his money, he should buy the pair that contains potato A and that weighs more. So the best pair will be A and C.

If you want to learn more about systems of equations, you can read:

https://brainly.com/question/13729904

I will give Brainliest!! \(•ᴗ^๑)/   ♪~

A store manager was trying to figure out how many people did their shopping online compared to doing it in stores. To do this she polled several houses in the nearby neighborhoods. The results are shown below:

Based on the information presented can you infer anything about the number of people who did their shopping online vs. in-store?​

Answers

Based off of this information, it looks like there are more online shoppers than in-store shoppers, more simply because there are 4 arrays that have more online shoppers than in-store shoppers, and 3 arrays that have more in-store shoppers than online shoppers, and 1 array that has an even amount of shoppers. But if you add up the numbers for a total of 160/161, you see there are more in-store shoppers than online shoppers.

So there are more in-store shoppers total.

Please answer the question in the picture

Answers

Answer:

Option C

step explanation:

[tex]\dfrac{x-7}{x^{2}+8}-\dfrac{x^{2}-x +6 }{x^{2}+8} = \dfrac{x-7 - [x^{2}-x+6]}{x^{2}+8}[/tex]

                               [tex]= \dfrac{x - 7 - x^{2}+x - 6}{x^{2}+8}\\\\\\=\dfrac{x +x -7-6 -x^{2}}{x^{2}+8}\\\\\\=\dfrac{2x - 13 - x^{2}}{x^{2}+8}\\\\\\=\dfrac{-x^{2}+2x - 13}{x^{2}+8}[/tex]

simplify 7/8 x 1 1/3
A. 7/24
B. 28/24
C. 1 1/6
D. 1 7/24​

Answers

Answer:

7/6

Step-by-step explanation:

7/8 x 1 1/3 = 7/8 x 4/3 = 28/24 = 7/6

Comment if you have any questions! :D

Sorry I can't explain much for this here, but if need help feel free to comment

Simon is creating a flower arrangement. A client asked him to select 4 of the 7 available flower options to create the arrangement. How many different groups of 4 flowers can Simon choose?

apparently its 35 I don't get why please help
formula:
nCr= n! / (n−r)!⋅r!

Answers

Step-by-step explanation:

7C4=7!/((7-4)!*4!)

=7!/(3!*4!)

=7*6*5*4!/3!*4!

=7*6*5/3!

=7*6*5/3*2*1

=7*5

=35

There are 35 different groups of 4 flowers can Simon choose.

What is Combination?

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order. Permutations and combinations can be mixed up.

We have,

A client asked him to select 4 of the 7 available flower options.

So, the number of combination for 4 flowers is

C(7, 4)

= 7!/ 4! (7-4)!

= 7 x 6 x 5 x 4!/ 4! x 3!

= 7 x 6 x 5/ 3x 2

= 35

Thus, there 35 different ways.

Learn more about Combination here:

https://brainly.com/question/13387529

#SPJ3

a A model of a ship is 6 inches long. The actual ship is 550 feet (6,600 inches). Find the scale factor used for the model.​

Answers

Answer:

1 inch on the model represents 1,100 inches on the actual ship.

Step-by-step explanation:

6600/6 = 1,100

Answer:

[tex]\frac{1}{1100}\rightarrow\text{This means for every 1 inch (for the model), it represents 1100 inches in real life}[/tex]

Step-by-step explanation:

Let's set up a fraction to represent the scale factor.

[tex]\frac{Model}{Actual\ Size}[/tex]

We can substitute the given values into the fraction.

[tex]\frac{6in}{550ft}=\frac{6in}{6600in}[/tex]

Simplify the fraction.

[tex]\frac{1}{1100}[/tex]

NO LINKS PLS AND IF U DON'T KNOW KNOW THE ANSWER THEN DON'T ANSWER PLEASEJavin cuts a block of wood along the red line. When he looks at the newly exposed face, what is the shape of the cross-section? 2 in 3 in 4 in A. A rectangle, 4 inches by 3 inches O B. A rectangle, 4 inches by 2 inches C. A square, 2 inches by 2 inches D. A rectangle, 2 inches by 3 inches​

Answers

Answer:

4 inches by 3 inches. It should actually be 10 inches by 6 but its not on there.

Which of the following best corresponds to the x-value where the function f(x) = cosx is a minimum in the interval x=[25, 30]?
X
Ο Α. 25.1
O B. 26.7
OC. 28.3
OD. 29.8

Answers

Answer:

C

Step-by-step explanation:

Cos x has a minimum of -1.

So Let find what x value in radians will equal -1

[tex] \cos(x) = - 1[/tex]

This occurs at x=pi

[tex] \cos {}^{ - 1} (1) = \pi[/tex]

Since cos is a periodic function, we add 2pi to it continously

[tex]\pi + 2\pi n[/tex]

convert pi to 3.14

[tex]3.14 + 2(3.14)n[/tex]

[tex]3.14 + 6.28n[/tex]

Let try when n is 4

[tex]3.14+(6.28)4[/tex]

[tex]3.14 + 25.12[/tex]

[tex]28.26[/tex]

[tex]28.3[/tex]

compute. show your work. (5 2/3)^2 -(4 1/3)^2

Answers

Add: 1/3 + 2/4 = 1 · 4/3 · 4 + 2 · 3/4 · 3 = 4/12 + 6/12 = 4 + 6/12 = 10/12 = 2 · 5/2 · 6 = 5/6

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(3, 4) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 4 = 12. In the following intermediate step, cancel by a common factor of 2 gives 5/
6
.
In other words - one third plus two quarters = five sixths.
Add:1 + 1/2 = 5/6 + 1/2 = 5/6 + 1 · 3/2 · 3 = 5/6 + 3/6 = 5 + 3/6 =8/6 = 2 · 4/2 · 3 = 4/3

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(6, 2) = 6. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 6 × 2 = 12. In the following intermediate step, cancel by a common factor of 2 gives 4/3. In other words - five sixths plus one half = four thirds.

Answer:

Step-by-step explanation:

First convert the mixed fractions to improper fractions.

[tex](5\dfrac{2}{3})^{2}-(4\dfrac{1}{3})^{2} = (\dfrac{17}{3})^{2} - (\dfrac{13}{3})^{2}[/tex]

We can use the identity a² - b² = (a +b)(a - b)

Here a = 17/3 and b = 13/3

[tex]= (\dfrac{17}{3}+\dfrac{13}{3})(\dfrac{17}{3}-\dfrac{13}{3})[/tex]

We can add & subtract as they have common denominators.

[tex]=\dfrac{30}{3}*\dfrac{14}{3}\\\\= 10*\dfrac{14}{3}\\\\\\=\dfrac{140}{3}\\\\\\= 46\dfrac{2}{3}[/tex]

Please help!! "Quadrilateral ABCD is inscribed in the circle below. Find the measure of all four angles."~!!!!!

Answers

For a cyclic quadrilateral
The opposite angles are supplementary (meaning they sum up to 180 °)
I.e (x +20) ° + 3x ° =180 °
20 + 4x = 180
4x=180 - 20
4x = 160
Divide through by 4
x = 40 °

Angle at point A
(2x + 38) = (2(40) + 38) = 118 °

Angle at point B
3x = 3(40) = 120 °

Angle at point D
x + 20 = 40 + 20 = 60 °

Angle at point C
The total angle in a quadrilateral is 360 °
I.e 118 + 120 + 298 +

Jasmine is building a wheelchair we’re onto her porch. If the real big is 72 cm from the porch in a 75 cm song, how tall is the porch.

Answers

AC= sqrt(AB^2 -BC^2)
=sqrt(75^2 - 72^2)
AC=21

Answer is 21

Can the sides of a triangle have lengths 1, 3, and 4?
yes

OR
no

Answers

Answer:

No

Step-by-step explanation:

The 2 side lengths should be the same

Answer:

No

Step-by-step explanation:

In order for the sides to be able to create a triangle two of the given sides have to be greater than the third side once added together.

[tex]a+b > c[/tex]
[tex]1+3=4[/tex]
[tex]4=4[/tex]

Which means your answer is "no" these lengths do not create a triangle for it does not pass the Triangle Inequality Theorem.

Hope this helps.

Simplify the expression:
2x+3x4

Answers

Answer:

2x+12

Step-by-step explanation:

First multiply the numbers without variables:

3x4=12

Next put the equations together:

2x+12

Hence, the correct answer is 2x+12

Answer:

2x + 12

Step-by-step explanation:

2X

3×4

[tex]2x + 12 [/tex]


Tom's credit card issuer calculates interest by first adding up the balances for all the days in the billing cycle and then dividing that total by the number of days. What is this method of calculating interest on a credit card called?

Answers

Average daily balance method

what is the product
for 2|-16.75|

Answers

Answer:

33.5

Step-by-step explanation:

You would make the -16.75 a positive because of the absolute volume, and multiply that by 2.

A triangle has angle measurements of 13°, 104°, and 63°. What kind of triangle is it?

Answers

Answer:

Obtuse

Step-by-step explanation:

Has angle >90.

Answer:

Obtuse

Step-by-step explanation:

An acute triangle has three angles that each measure less than 90 degrees. An equilateral triangle is a triangle in which all three sides are the same length. An obtuse triangle is a triangle with one angle that is greater than 90 degrees. A right triangle is a triangle with one 90 degree angle.
Since the largest angle is 104 and is larger than 90 it is an obtuse triangle

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