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

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?

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:

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

Answers

Answer:

22.61°

Step-by-step explanation:

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),

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.

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.

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%

PLEASE HELPPPPPP EASY

Answers

The answer to your question is D

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)

HELPPPPPPPP I WILL MARK BRAINLIEST

Answers

Answer:

52.8

Step-by-step explanation:

i think this is right

−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  :-)

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:

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

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

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

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

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

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°

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 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

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

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]

_____________________________

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..

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

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!

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

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

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 :)

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

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
Other Questions
SHARKS' TEETHLangston CarterThe day we found the sharks' teeth was foggy and cool. Moisture hung in the air so thick you could almost see it sparkling in the dim sunlight. There were days, early in the summer like this one, where it seemed there was more water in the air than in the bay. We had beached the boat and stepped out on the recently cleared spit of land. The ground had a light dusting of white sand over an under layer of dried black mud. It looked like a recently frosted chocolate cake, though the frosting was spread a bit thin for my taste. The ground was solid, but we knew from experience that it was full of fiddler crab holes, and would be underwater at the first super-high tide. Mysteriously, to us anyway, someone wanted to build a house there.We often came to these spots to look for artifacts. Our beach, our summer home, had been a fishing camp for as long as anyone living could remember. The oldest stories told of travelers coming down to the edge of the sea, lining up to fill their wagon beds with salted fish to take back home. Old decaying cabins still lined the beach. Rotting nets, hung out to dry in the last century, decorated their weathered walls. Their broken faces spun stories in our minds. The fishermen who, tanned and wrinkled from sun and salt, hauled their nets full of splashing mullet in to cheers from the waiting crowds. The bounty of the sea lightened everyone's hearts, and the smell of roasting fish filled the damp air. Women fanned themselves from wagon seats. Children splashed in the shallow edges of the bay. It was a scene we had acted out as youngsters, building an imaginary bridge to a life we would never fully know.Read this sentence from the text:Moisture hung in the air so thick you could almost see it sparkling in the dim sunlight.Which of the following best explains the phrase so thick you could almost see it. (5 points)Almost seeing moisture suggests a shimmering scene.Being able to see moisture implies the fog is quite dense.The thickness of the fog is not affecting vision yet.The fog is breaking up to let light in. If a car takes a banked curve at less than the ideal speed, friction is needed to keep it from sliding toward the inside of the curve (a real problem on icy mountain roads).(a)Calculate the ideal speed in (m/s) to take a 120 m radius curve banked at 15.(b)What is the minimum coefficient of friction needed for a frightened driver to take the same curve at 15.0 km/h? He _ do better in school if he studied morea) would b) will c) would be d) ll (im from spain and i barely know english so thats why im asking basic stuff) TT Find the future value for the ordinary annuity with the given payment and interest rate.PMT = $2,000; 1.15% compounded monthly for 2 years. I WILL GIVE YOU BRAINLYEST!What are the steps of the Naturalization Process? (2:14)File an ________________ with the USCISTake the N__________________ T_______ Live in the United States for ____ years or _______years if married to a US citizen.What are the ways to become a US citizen? To become a US citizen you must.Learn ____E__________ speak, read and write basic E_______________Learn US __________ and g____________ called C_________________The role of a US citizen is to know the R_____________ and R______________ of a US citizen.Citizens Must Pay taxesSign up for S_______________S________________ 18-25 years old (male)Have good moral ch_______________Obey the l_________________ (ILL MARK BRAINLIEST) For Alexandra's lemonade recipe, 8 lemons are required to make 4 cups of lemonade.Fill out a table of equivalent ratios and plot the points on the coordinate axesprovided. PLEASE HELP MEGiven the coordinates below, what is AB and what is the midpoint of ABA (-6, -10), B (2, 5) true or false, the etruscans were a male dominated hierarchical civilization Which digit makes this statement true??0,003 rounded to the nearest ten thousand is 90,000. Which of the following could be the number shown on the number line?O A. 35B. 738C. 30O D. 37Pllllzzzzz help What do you think will be a major consequence arising fromthe Treaty of Versailles? Someone help me please At the market, Joey buys 3 avocados for $.40 each and 5 lemons for $0.40 each. The cashier in training rings up 3 0.40 and then 5 0.40 to get the total. The experienced cashier says to add the 3 plus 5 in his head and then ring up 8 0.40.What property says that these two totals would be the same?1. Associative property of multiplication2. Commutative property of multiplication3. Multiplicative identity4. Distributive property Use the following indefinite adjectives in a paragraph: many, few, all, some. Question 10 of 10 Which is an advantage of tax-deferred retirement savings?A. The tax burden on your savings is partly paid at the time you invest B. You pay all the tax when you invest so you don't owe tax when you withdraw it. C. You earn extra interest on your savings. D. You don't pay tax on your investment until you withdraw it. My question is what is -5+12+-3+-10+14 Cumulus clouds change into cumulonimbus clouds. flujograma de nmina Hitler's hatred of the Jews began with the assumption that:they caused Germany to lose World War I.their religion was evil.his successful Jewish classmates were given unfair benefits.o they were plotting to take over the German government. 2. Solve the following equation for b. 6b + 2a - 4 = 2b + 3a$b = a + 1b= 5a+1/2b= a+4/4b= 5a+4/8