Find two numbers if their sum 16 and their ratio is 5:7

Answers

Answer 1

Answer:

6.666  or 6 2/3   and  9. 333  or 9 1/3

Step-by-step explanation:

5+7 = 12 so 1 part is 1

16/12 = 1.333.. = 1 1/3   1 part is changed when the total is higher

5 x 1  1/3 = 6.666  6 2/3

7 x 1  1/3 = 9. 333  = 9 1/3

Answer 2

Answer:

Step-by-step explanation:

Let A and B stand for the two numbers.

A + B = 16

A/B = 5/7

Rearrange the first and substitute:

A = 16-B

(16-B)/B = 5/7

(16-B) = 5B/7

5B/7 = (16-B)

5B = 7(16-B)

5B = 112 - 7B

12B = 112

B = 9.3333 or 9 1/3

A = (16 - 9.333) or (16 - 9 1/3)

A = 6.6667 or 6 2/3

A + B = 16?

9 1/3 + 6 2/3 = 16  YES

A/B = 5/7 ?

(6 2/3)/(9 1/3) = (20/3)/(28/3) = (20/3)*(3/28)

= (20/28) = 5/7  YES


Related Questions

Ms. Adams surveyed 899 students to start a club for coding and technology. Thirty-two students responded to the survey. What is the percent of students that responded?

Answers

Answer:

3.559510567%

Step-by-step explanation:

32 / 899 = 0.03559510567

0.03559510567 = 3.559510567%

plz help will mark as brainliest​

Answers

i am pretty sure it is B because x is the slope in a graph and 1 can be 1/1 and parrarel means opposite so opposite of x axis is y.
opposite of 1/1 on x axis is opposite of 1/1 on y

Divide this polynomial:)

Answers

Answer:

The answer is 3x^2-4x-4+1/2x-1

Step-by-step explanation:

Hope this helps, and sorry if it's wrong.

What is the quotient
2mºnº
4mºn
in simplest form? Assume m+0,1 +0.
man
2
m7n
2
6mln
Ο Ο.
8mn

Answers

Step-by-step explanation:

the first option : -(m¹²n⁶)/2

why ?

we can go through factor by factor of the multiplication/fraction.

2/-4 = -1/2

m⁹/m^-3 = m^(9 - -3) = m¹²

n⁴/n^‐2 = n^(4 ‐ -2) = n⁶

when we put all 3 factors back together, we get the mentioned result.

Write down in terms of n, an expression for the nth term
of the following sequence
-8 -15 -22 -29 -36

Answers

Answer:

[tex]a_{n}[/tex] = - 7n - 1

Step-by-step explanation:

There is a common difference between consecutive terms , that is

- 15 - (- 8) = - 22 - (- 15) = - 29 - (- 22) = - 36 - (- 29) = - 7

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 8 and d = - 7 , then

[tex]a_{n}[/tex] = - 8 - 7(n - 1) = - 8 - 7n + 7 = - 7n - 1

PLEASE HELPPPPPP EASY

Answers

The answer to your question is D

If a car travels 32.5 miles in 1.5 hours, than how long will it take to travel 26 miles at this speed?

Answers

Answer:

Is this for math?

Step-by-step explanation:

A rectangle is 12cm long and 5cm wide. Find the size of the angle marked x.

Answers

Answer:

22.61°

Step-by-step explanation:

8+(2+6)=(8+2)+6 what property justifies that statement

Answers

Answer:

Associative Property of Addition

Step-by-step explanation:

According to the Associative Property of Addition, when three real numbers are added, it makes no difference which two are added first.

(a + b) + c = a + (b + c)

Therefore, 8 + (2 + 6) = (8 + 2) + 6 is an example of the Associative Property of Addition.

Please mark my answer as the Brainliest, if you find my explanation helpful :)

Titus took 30 minutes to walk 2 miles at a constant
rate. Let d represent the distance Titus walks, in miles, after t minutes. Here are your constants of proportionality from the previous screen: 15 and 15. Write two different equations to represent the
relationship between d and t.

If Titus walked 7.5 miles at this same rate, how many
minutes would it take?


HEEEEEELLLLLPPPPP

Answers

Constant of proportionaility #1 2/30 = 1/15

Constant of proportionaility #2 d/t

1 distance divided by time

Relationship: equality

Reason: they all represent velocity and they tell us that velocity is constant.

-------------------------------------------------------

15 and 1/15 (answer)

Steps:

Given

Time (t) = 30 minutes

distance (d) = 2 miles

To determine the first constant of proportionality

Let time be directly proportional to distance.

t = kd

Where k is the constant of proportionality

Make k the subject

k = t/d

Substitute values for t and d

k = 30/2

k = 15

To determine the second,

Let distance be directly proportional to time.

d = kt

Make k the subject

k = d/t

Substitute values for d and t

k = 2/30

k = 1/15

Hence, the constant of proportionality are

15 and 1/15

can someone please help with this? it’s the last one i need for today thanks

Answers

Answer:

243x32=7776

546x12=6552

312x73=22776

Step-by-step explanation:

Answer:

243x32=7776

546x12=6552

312x73=22776

Step-by-step explanation:

I really hope this helped you out!

please help me because im doing my math right but i cant get the answer

Answers

Question 3:
(x - 2)(x - 3) =
x(x - 3) -2(x - 3) =
x^2 - 3x - 2x + 6 =
x^2 - 5x + 6

Question 5:
(x - 5)(x - 1)
Same steps as above
Answer: x^2 - 6x + 5

Can someone please help me?

Answers

Answer:

x ≈ 30.1°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{HJ}{GJ}[/tex] = [tex]\frac{45}{52}[/tex] , then

x = [tex]cos^{-1}[/tex] ( [tex]\frac{45}{52}[/tex] ) ≈ 30.1° ( to the nearest tenth )

Answer:

We are going to use Cosine [tex]\frac{adjacent}{Hypotenuse}[/tex]

[tex]\frac{45}{52}[/tex]

Now, we use the inverse of cosine

[tex]cos^{-1} (45/52) = 30.1[/tex]  (rounded to the nearest tenth of a degree)

your answer is x = 30.1 degrees.

Step-by-step explanation:

Please solve this problem... I will mark you brainliest

Answers

m∠AEB = 124°m∠BEC = 56°m∠CED = 124°m∠DEA = 56°

Step-by-step explanation:

4x = 70 - x

4x + x = 70

5x = 70

x = 14

m∠DEA = m∠BEC = 4x

m∠DEA = m∠BEC = 4(14)

m∠DEA = m∠BEC = 56°

m∠AEB = m∠CED = [360 - 2(56)] ÷ 2

m∠AEB = m∠CED = [360 - 112] ÷ 2

m∠AEB = m∠CED = 248 ÷ 2

m∠AEB = m∠CED = 124°

The edges on Zachary's snowboard are chlpped and dented from riding over rocks, so Zachary wants to buy a new one. He can't afford the board he wants, so he opens a hot chocolate stand near his house. Zachary figures out how many cups of hot chocolate he must sell to have enough money for the snowboard. One cold, snowy Saturday, Zachary sells 43 cups of hot chocolate. Now, he needs to sell 47 more cups to buy the snowboard. Which equation can you use to find the total number of cups c Zachary must sell to buy the snowboard?​

Answers

Answer:

c-43=47

Step-by-step explanation:

Well this is kinda obvious.

He already sold 43 cups of hot choclate and he needed 47 more.

So the total amount of cups is (c) so we can make an equation like this

c-43 (since theres total which is unknown so ”c” and then Theres the already sold 43 cups).

c-43=47 (the 47 is the amount he needs to sell)

So final equation to determine total cups needed

c-43=47

8xy + 14x + 4x - 2xy + 6y

Answers

Answer:

6xy + 18x + 6y

Hope this helps!

Answer:

i dont know the answer to this

Step-by-step explanation:

Because i just dont

6(x-3)+10=2(4x-5) pls help

Answers

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

[tex]6\left(x-3\right)+10=2\left(4x-5\right)[/tex]

We'll use the distributive property to multiply 6 by (x-3):

[tex]6x-8 +10=2(4x-5)[/tex]

*Distributive property*, multiply 2 by (4x-4)

[tex]6x-8=8x-10[/tex]

Add 8 from both sides:

[tex]6x-8+8=8x-10+8[/tex]

[tex]6x=8x-2[/tex]

Subtract 8x from both sides:

[tex]6x-8x=8x-2-8x[/tex]

[tex]-2x=-2[/tex]

Divide both sides by -2:

[tex]\cfrac{-2x}{-2}=\cfrac{-2}{-2}[/tex]

[tex]x=1[/tex]

_____________________________

100 points.

My teacher asked for me to specify which two theorems I used. And I don't know. Here is my work can someone help please.


Isosceles Right Triangle Reflection to prove ASA Congruence


1. Answer the following questions:
A. What line of reflection did you choose for your transformation?
- I used the y-axis as my line of reflection.
B. How are you sure that each point was reflected across this line?
- I am sure because the sides are all opposite, but the numbers stayed the same.
C. What reflection rule did you apply to your triangle?
- (x, y) ➟ (-x, y)

2. What other properties exist in your triangle? Discuss at least two theorems you learned about in this module that apply to your triangle. Make sure to show evidence by discussing your triangle's measurements.
- I learned that if two sides of my triangle are congruent then the angles opposite of them are congruent as well. The third angle is 90 degrees.

3. Did your triangle undergo rigid motion? Explain why.
- Yes, it did. It did because the distance and position stayed the same while the points and the plane moved.

Answers

Answer:

Actually you did everything right

Step-by-step explanation:

yes

This question requires proving congruency of triangles in a given co-ordinate system we by use of ASA(angle side angle) theorem.

Types of triangles and it's properties.

An isosceles right angle triangle has two equal sides and the corresponding angles will also be equal it will be of 45° - 45° - 90°.

The hypotenuse will be [tex]\sqrt{2}[/tex] times of the equal sides.

A. We have chosen x-axis as a line of refection.Reflection along x-axis idicates rotation  of 180° along x axis.

B. We are sure that each point is reflected accross this line because base has same magnitude but the signs have changed and rotation along x-axis doesn't change the value of y co-ordinate.

C. Rotaion along X-axis by 180°.

Learn more about Triangles and It's properties here :

https://brainly.com/question/9872652

#SPJ2

Please answer the following 2 images correctly and don't answer if you don't know

Answers

Answer:

A) Not congurt

B) ASA

C)

D)

Step-by-step explanation:

Thats all i know

Answer:

Step-by-step explanation:

a)  ASA congruent    -> Two angles and included side are congruent

b) SSS congruent       -- > three sides are congruent

c) Not congruent.

d) HL        --> In a right angle triangle, base and hypotenuse are congruent.

23)

    1)Q is the midpoint of PT & RS              Given

   2) PQ ≅ TQ                                             Definition of midpoint

   3) ∠PQR ≅ ∠TQS                                    Vertical angles are congruent

   4) RQ ≅ SQ                                              Definition of midpoint

   5) ΔPQR ≅ ΔTQS                                     SAS congruent

Which function passes through the points (2,3) and (4,4)

Answers

Answer:

y = 1/2x + 2

Step-by-step explanation:

First, we find the slope of the line by subtracting the x- and y-values of each point, and dividing that:

(4-3)/(4-2) = 1/2

So, our slope is 1/2. Then, we insert this into a y = mx + b equation using one of our points to find the y-intercept (b). I used the point (2, 3):

3 = 1/2(2) + b

3 = 1 + b

b = 2

Now that we have our slope and the y-intercept, we can create a function: y = 1/2x + 2.

Answer:

C, Because if you draw a graph, the line y=1/2x+2 lines up with (2,3) and (4,4),

−53+(+8)=
what is the answer

Answers

Answer is -45 , yse calculator

Answer:

(-45)

Step-by-step explanation:

Hey there,

Before solving  this you have to know that,

(-) × (-) = (+)

(+) × (+) = (+)

(-) × (+) = (-)

Let us solve now.

-53 +(+8)

-53+8

= (-45)

Hope this helps you.

Let me know if you have any other questions  :-)

answer these problems please
9 x 1/8
10 x 1/8
9 1/2 x 1/8
12 x 1/8
8 1/2 x 1/8
I will give brainliest and 30 points, please no links!​

Answers

Answer:

See below

Step-by-step explanation:

9 x 1/8 = 1.125

10 x 1/8 = 1.25

9 1/2 x 1/8 = 1.1875

12 x 1/8 = 1.5

8 1/2 x 1/8 = 0.5

For detailed, step-by-step explanations you can visit my fiverr account: kesja_

I provide detailed explanations for math questions for as little as $1!

Answer:

9 x 1/8 = 9/8

10 x 1/8 = 10/8 ≈ 5/4

9 1/2 x 1/8 = 19/16

12 x 1/8 = 12/8 ≈ 3/2

8 1/2 x 1/8 = 17/16

you can either turn them to decimals by dividing through or you leave them in Improper fractions or mixed fractions

Can someone please help me out with this. Pls don't just say A, B, C, or D, like i need explanation pls. I am begging you, I cannot fail this

Answers

The answer is -2, 1, and 3 only

Answer:

-2, 1, and 3 only

Step-by-step explanation:

Because if You look at the graph..

Find the number a and b with ab+ba is số chính phương

Answers

Answer:

(2,9) , (3,8) , (4,7) , (5,6)

Step-by-step explanation:

ab+ba = 10a+b+10b+a = 11a+11b = 11(a+b)

if a+b = 11 then ab+ba = 11²

(a,b) or (b,a) : (2,9) , (3,8) , (4,7) , (5,6)

check: 29+92 = 121 = 11²

56+65 = 121 = 11²

Please answer this question

Answers

Answer:

C - The relationship represents a function because each input gives one unique output.

Step-by-step explanation:

To see if it is a function we can do the line test where we have a vertical line and "drag" it along the line. As long as it only hits the line once in every situation it is a function! We can see this passes and therefore the answer is c.

(why is it not d? you can have a non-linear line, but still have a function)

Please help me solve this ASAP

Answers

Answer:

$21

Step-by-step explanation:

Let the amount Lori bought the shirt and the hat be $x, if she bought them at half off sale, the initial price of both item will be 2 × $x

If she spent $21 on both items, the initial price will have been 2 x $21 = $42 where x is $21

Original price of the hat and shirt is therefore $42. Since both are on half off sale, the initial price is the hat will be $42/2 = $21

HELPPPPPPPP I WILL MARK BRAINLIEST

Answers

Answer:

52.8

Step-by-step explanation:

i think this is right

Help asap will give brainliest!!!!

Answers

Answer:

C

Step-by-step explanation:

ley y = f(x) and rearrange making x the subject

y = [tex]\frac{1}{x+5}[/tex] - 1 ( add 1 to both sides )

y + 1 = [tex]\frac{1}{x+5}[/tex] ( multiply both sides by (x + 5)

(y + 1)(x + 5) = 1 ← expand factors using FOIL

xy + 5y + x + 5 = 1 , that is

xy + x + 5y + 5 = 1 ( factor first/second and third/fourth terms on left side )

x(y + 1) + 5(y + 1) = 1 ← factor out (y + 1) from each term on left side

(y + 1)(x + 5) = 1 ( divide both sides by (y + 1) )

x + 5 = [tex]\frac{1}{y+1}[/tex] ( subtract 5 from both sides )

x = [tex]\frac{1}{y+1}[/tex] - 5

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = [tex]\frac{1}{x+1}[/tex] - 5 where x ≠ - 1

I need help writing these in numerical form someone help please.

Answers

Answer:

they're all in order plz give brainliest

Step-by-step explanation:

2n+4=12

5n-2=8

5+3n=5

4n+7=11

2n-1=9

7n-2=54

2n+8=32

3n+7=34

2n+4=16

5n-17=53

3n-7=14

12+2n=44

9n+2=29

3n-15=36

11+5n=66

7n-9=82

3n-11=34

Please help me solve this ASAP

Answers

Answer:

2/5 or .4 as a decimal

Step-by-step explanation:

we can't do anything in the Parentheses so we distribute the -2.5 giving us the equation

-10x+10=6

we subtract both sides by 10

so now our equation is

-10x=-4

we divide both sides by -10

this leaves us with -4/-10 which is simplified to 2/5 or .4 as a decimal

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