Four times the first number minus three times the second number is 2. Two times the first number increased by three times the second is 10. Find both numbers.

Answers

Answer 1

Answer:

First number is -2.5

Second number 5

Step-by-step explanation:

Four times the first number minus three times the second number is 2.

To represent this statement, 4x -3y =2

Two times the first number increased by three times the second is 10.

To represent thsi statement, 2x+ 3y = 10

4x - 3y = 2

2x + 3y =10

4x - 2x = 2x

2x = -5

x= -2.5

The first number is -2.5

By using Substitution

2x + 3y = 10

2(-2.5) + 3y = 10

-5 + 3y = 10

3y = 10 +5

3y =15

y = 5

The second number is 5

....To check my answer

-5 + 15 = 10


Related Questions

Please help meeeeeeee! Gratefully appreciate it, happy holidays!

Answers

Answer:

x = 50

Step-by-step explanation:

180-(50+80)=x

180-130=50

please help me!

ty :)

Answers

Answer:

slope: -4

Step-by-step explanation:

the formula to finding slope using two points is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

so insert the x- and y- values into the formula. you'll get:

[tex]m=\frac{-11-9}{3-(-2)}=\frac{-20}{5}=-4[/tex]

RS is the perpendicular bisector of TU. Find x and y​

Answers

Answer:

x = 1

y = 30°

Step-by-step explanation:

is RS is ⊥ to TU then TS = US so we can use this equation to find 'x':

20x-3 = 5x+12

15x = 15

x = 1

we also know that RS intersecting with TU creates a 90° angle

if 3y = 90 then y = 30

A man borrowed Rs.8000 for one year at the rate of 15% per annum. Find
the interest

Answers

Answer:

I = 8000×1×15

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

100

I = 120000

----------

100

I = Rs 1200

Kiran and Mai are going on a long bike ride.
• Kiran can ride 4 miles every 16 minutes.
Mai can ride 4 miles every 12 minutes.
.
How long will it take each rider to reach the end of a 12-mile bike path?
1) It will take Kiran minutes to reach the end of a 12-mile bike path?
2) It will take Mai
minutes to reach the end of a 12-mile bike path?
Blank 1:
Blank 2:
Question 4 (2 points)

Answers

Answer:

kiran will take 48 minutes 16 x 3

mai will take 36 minuttes 13 x 3

Step-by-step explanation:

(1) Kiran will take 48 minutes to reach the end of a 12-mile bike path.

(2) Mai will take 36 minutes to reach the end of a 12-mile bike path.

What is ratio?

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Kiran rides 4 miles every 16 minutes.

Also, Mai rides 4 miles every 12 minutes.

To find the time taken by Kiran and Mai to reach 12 mile bike paths,

Use ratio property,

Time taken by Kiran to ride 4 miles = 16 minutes,

For 1 mile = 4 minutes,

For 12 miles = 12 x 4 = 48 minutes

Time taken by Mai to ride 4 miles = 12 minutes,

For 1 mile = 3 minutes

For 12 miles = 12 x 3 = 36 minutes.

Kiran will take 48 minutes and Mai will take 36 minutes to reach the end of a 12-mile bike bath.

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What does it mean by domain and range and how would I use that to fill out the table?​

Answers

The domain is the set of all allowed x values. In this case, we consider the whole numbers between 0 and 10. So we have x = 0, x = 1, x = 2, ... all the way up to x = 10.

To find the y values, you replace each x with the numbers mentioned and simplify.

For instance, if x = 2, then,

f(x) = 3.50x

f(2) = 3.50*2

f(2) = 7

This tells us that x = 2 packages cost y = 7 dollars.

domain is the x value, range is the y value. you cant have any duplicates. so if your table was (5,3) (6,3) (1,9) (5,7)
the domain would be 5,6,1 the range would be 3,9,7 you can repeat them if there is the same number in the range and the domain. for example (5,3) and (3,9) you would put 5 and 3 as the domain and 3 and 9 as the range. the range is the second number, the domain is the first in an ordered pair

A file that is 261 megabytes is being downloaded. If the download is 17.1% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.

Answers

Answer:

44.6 megabytes

Step-by-step explanation:

If 261 megabytes = 100% and we are looking for 17.1% then we can make a cross product.

261= 100

? = 17.1

It means that (17.1x261)/100 = 44.631

If we round our answer it equals 44.6

5) - 2y = -2x

slope intercept form please someone help i don’t have much time

Answers

[tex]\text{Given that,}\\\\-2y = -2x\\\\\implies y = x\\\\\implies y = x+0\\\\\\\text{This is the slope- intercept form(y=mx+b) of the given equation,}\\ \text{where the slope is 1 and y - intercept is 0.}[/tex]

137x723+462x50=?


do yall think its ok for your girl to k.i.s.s. other people?
and would yall let it slide and think it was a joke?

Answers

Answer: 122151no it is not okay for someone to do that behind the person their datings back honestly. i have had this happen to me by one of my ex boyfrie.nds and it does bother me that i let him hur.t me like that but no it isnt okay and you should never let it slide cause they could always do it again.

The sum of Ellie's age and Genya's age is 60. In sex years, Genya will be eight times older than Ellie will be. How old is Ellie now?

Answers

Answer:

ellie is 2 and genya is 58, explanation in picture attached

Eva is flying a kite, holding her hands a distance of 2.75 feet above the ground and
letting all the kite's string play out. She measures the angle of elevation from her
hand to the kite to be 25°. If the string from the kite to her hand is 130 feet long, how
many feet is the kite above the ground? Round your answer to the nearest tenth of a
foot if necessary.

Answers

Answer: 57.7 feet above the ground

sin 25= opposite/hypotenuse

 = x/130

130 sin 25 = x

x=54.940374

54.940374+2.75 = 57.7

 

18 POINTS! WHAT IS THE ANSWER TO 1 2 3 AND 4 IN THE SCREENSHOT? PLEASE HURRY! P.S. BRAINLIEST

Answers

Answer:

J, B, A, L

Step-by-step explanation:

The awnser to question one is J, the awnser to questions two is B, the awnser to question three is A and the awnser to question four is L. Hope this helps.

One student claims that 25% is equivalent to 1/4%. Is that correct? Why or why not?

Answers

Answer:

ya

Step-by-step explanation:

25 percent is equally to 25 over 100 which is 1over4

Any help wit this one

Answers

Answer:

22.5 centimetres per second.

Step-by-step explanation:

To get the awnser for this you do the highest length of centimetre which is 90 divided by how many seconds it took to get to 90 centimetres, then we do 90÷4 which equals to 22.5, so the awnser is 22.5 centimetres per second. Hope this helps.

solve this
(below, in picture)

Answers

x^[2] - 2x - 8 = 0


x^[2] or x squared

help pls please hmmm​

Answers

Step-by-step explanation:

Here is your answer

(2)⁴*³2¹²

Answer:

2^12

Step-by-step explanation:

Since 2^4 is already powered you will only power the 4 and not the 2

For example (a^2)^3 = a^6

and not a*a*a^6

You only power the 2 and not the "a"

Hope this helps!

the LCM and GCF of 66 and 101

Answers

Answer:

GCF: 1

LCM: 6,666

Step-by-step explanation:

I hope this helps!

(7*10 to the power of 5)*(3*10 to the power of 2)

Answers

Step-by-step explanation:

do you mean

7×10⁵ × 3×10²

as you can see, these are all multiplications. and we can do in a first step the multiplications that combine the factors with the same exponent base or simple constants :

7×3 × 10⁵×10² = 21 × 10⁷

in what format do you need the result ?

21 × 10⁷

2.1 × 10⁸ (standard format)

210,000,000

The sum of two numbers is 80
their difference is 38.
The product of these 2 numbers is __?

Answers

1239

hope this helps

Select True or False to correctly classify each inequality.
Inequality True or False ( will give brainliest)

−2≤−2 true or false
6.1<6.1 true or false
5.6≥5.6 true or false
5.6≥5.6 true or false
−4>4 true or false

Answers

Answer:

−2≤−2 True

6.1<6.1 False

5.6≥5.6 True

5.6≥5.6 True

−4>4  False

Step-by-step explanation:

Hence,  all the statements are true except option (4).

What is the inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Here given that,

[tex]-2\leq -2[/tex] is true, because [tex]-2[/tex] is equals to each other.

[tex]6.1 < 6.1[/tex] is true, because [tex]6.1[/tex] is equals to each other.

[tex]5.6\geq 5.6[/tex] is true, because [tex]5.6[/tex] is equals to each other.

[tex]5.6\geq 5.6[/tex] is true, because [tex]5.6[/tex] is equals to each other.

[tex]-4 > 4[/tex] is false, because [tex]-4[/tex] is not greater than [tex]4[/tex].

Hence,  all the statements are true except option (4).

To know more about the inequality

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The function P(t)=25,000(1.1023)t2 can be used to model the population in the town of Madison t years from now. Interpret the function in terms of the context for this situation.

Answers

Answer:

A growth function has the following form.

where  = Original amount,

r = annual rate of change,

n = number of periods,

t = time in years

Since the time is in years, we need to convert t into days. We know that 1 year = 365 days. So t years = 365t days.  

So in this case, n = 365, r = 0.0095.

Then the function is rewritten as follows.

The daily growth rate would be  

Step-by-step explanation:

t=number of years

Lets find year wise population for example

let years be 3t=3

[tex]\\ \sf{:}\longrightarrow P(3)=25,000(1.1023)3^2[/tex]

[tex]\\ \sf{:}\longrightarrow P(3)=27557.5(9)[/tex]

[tex]\\ \sf{:}\longrightarrow P(3)=248017.5[/tex]

Can anyone help me with this?

Answers

yea hold on ill leave it in the comments

Jane’s starting annual salary is $45,520. At the beginning of each new year, she receives a $1,580 raise. What will her salary be after 11 years?

Answers

Answer:

$62,900

Step-by-step explanation:

Mitchell buys a $1,400 dryer with an installment plan that requires 17% down. How much is the down payment?

Answers

The amount of down payment Michelle paid for a dryer of $1,400 at 17% down payment is $238

Given:

Total cost of dryer = $1,400

down payment percentage = 17%

Amount paid for down payment = 17% of $1,400

= 17/100 × 1400

= 0.17 × 1400

= $238

Therefore, the amount of down payment Michelle paid for a dryer of $1,400 at 17% down payment is $238

Learn more about percentage:

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Which expression is equivalent to 9 x 9 x 9 + 12 x 12 x 12?

Answers

Answer:

i think probably 2457 is answer

PLS HELP AND ANSWER CORRECTLY 15 POINTS AND BRAINLIEST!!!
how can you test to see if a given point is in the solution set of a system of inequalities?

Answers

Answer:

you can plug the point into the inequality and see if it works

Step-by-step explanation:

If I have xy>4 and I want to test the point 4,6 I would take xy which would be 4 and 6 because those are the numbers from the coordinates. when writing coordinates x is the first number and y is the second. 4 times 6 because x times y which is xy is equal to 24 now we have 24>4 and this is true

HELP!!!

42 is the product of 6 and y

Answers

Answer:

7

Step-by-step explanation:

Divide the 42 by 6 to get your answer. 42/6=7

This also works in reverse. 6*7=42

The answer: 42 is the product of 6 and y=7

Ok done. Thank to me :>

which sign makes the statement true?
A.<
B. >
C. =

Answers

Answer:

-7 1/2 equals to -7.5

so

-7.5 ___ -7.75

-7.5 > -7.75

Here's the Question ~

[tex] {2 - 1}^{2} [/tex]

Answers

Answer:

The answer is 1

Step-by-step explanation:

1² = 1×1

= 1

2 - 1² = 2 - 1

= 1

There are 20 questions on a test. Three points are awarded for a correct answer and – 1 for an incorrect answer. If Brian answered 14 questions correctly and 6 incorrectly, what is his score?

Answers

Answer:

36 points

Step-by-step explanation:

3x14 = 42

1x6 = 6

42-6 = 36

Hope that helps

Answer:

54 hope this helps

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