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

Find the value of x.

Answers

Answer:

11

Step-by-step explanation:

Arc YZ and angle YXZ must add up to 180. You can review your notes, and you will probably find an identity that relates to this. But I will prove this using quadrilaterals, mainly, well, because I forgot what the identity was.

Lets call the center of the circle O. Angles XYO and XZO must be 90 degrees since they are tangent to the circle. These angles add up to 180, leaving the two remaining angles, who also must add up to 180. Therefore, the angle YOZ, and YXZ, must add up to 180. Note that angle YOZ is equal to arc YZ.

In our case, angle YOZ is 125 degrees given by the arc YZ, and the angle of YXZ is 6x-11. We can set up an equation like this:

YXZ+YOZ=180

6x-11+125=180

Simplify

6x+114=180

Solve

6x=66

x=11

Therefore, our value of x is 11 and the angle YXZ is 55 degrees.

-6x+3y= -15 4x-3y= 13

Answers

Answer:

Equation form = x = 1, y = -3

Step-by-step explanation:

Point form = (1,-3)

I apologize for the messy writing but (1,-3)

can someone help me with this

Answers

Ok done. Thank to me :>

For 1-3 write an equivalent expression
1.) -3(7+5g)
2.) (x+7)+3y
3.) 2/9-1/5*x

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

The equivalent expressions are ~

Question : 1

[tex] \sf \: - 3(7 + 5g)[/tex]

[tex] \sf - 21 - 15g[/tex]

[tex] \sf- 15g - 21[/tex]Question : 2

[tex] \sf \:( x + 7) + 3y[/tex]

[tex] \sf \: x + 7 + 3y[/tex]

[tex] \sf \: x + 3y + 7[/tex]Question : 3

[tex] \sf \dfrac{2}{9} - \dfrac{1}{5x} [/tex]

[tex] \sf \dfrac{10x - 9}{45x} [/tex]

Question : 1- 3(7 + 5g)−3(7+5g)

- 21 - 15g−21−15g

- 15g - 21−15g−21Question : 2( x + 7) + 3y(x+7)+3y

x + 7 + 3yx+7+3y

x + 3y + 7x+3y+7Question : 3 2 - 1

9 5×

10× - 9

45×

If 90% of 150 students passed their exam, and 1/5 of those received an A on the test, how many students received an A?

Answers

27

Explanation-
90%= .9
.9(150)=
135
135(1/5)=
27

Answer:

27 students received an A

Step-by-step explanation:

90% of 150 is 135

1/5 of 135 is 27

PLEASE HELP ME

A rectangular plot of land is 90 ft long and 105 ft wide. On a map, the length is 3.6 in. Identify the width on the map.

Answers

Answer:

4.2 in

Step-by-step explanation:

90÷3.6 = 25

The plot of land is 25 times bigger than the map's scale. You have to divide 105 by 25 to get the same scale as the length (3.6 in.)

105÷25 = 4.2

Please give brainliest if that helped at all!

4.2 in I agree with you

What number makes the expressions equivalent? Enter your answer in the box. 12 (â€""1. 4m 0. 4) = m 0. 2.

Answers

The value of "m' that makes the expression equivalent is 0.2584

Given the expression 12 (–1.4m + 0.4) = m + 0.2

We need to solve for the value of m from the expression.

12 (–1.4m + 0.4) = m + 0.2

Expand using the distributive law:

12(-1.4m) + 12(0.4) = m +  0.2

16.8m + 4.8 = m + 0.2

Collect the like terms:

-16.8m - m = 0.2 - 4.8

-17.8m = -4.6

m = 4.6/17.8

m = 0.2584

Hence the value of "m' that makes the expression equivalent is 0.2584

Learn more on expressions here: https://brainly.com/question/22048677

What is a theme of the poem "Dream Variations" by Langston Hughes?


It is life's desire to live freely and expressively without boundaries.


People have the power within to make a fresh start in life.


One should spend less time living in the past and enjoy the present.


It is important to find balance between work and rest.

Answers

One theme of the poem Dream variations is the desire to live freely and expressively (option A).

In poems and other literary texts, themes are deep ideas about life that are indirectly expressed by the author. In the case of the poem "Dream variations", the author Langhtons Hughes refers to life and death.

About life, Hughes expresses the importance of living life at its fullest before death occurs. This desire to live freely and expressively is shown in verses such as:

"To fling my arms wide

         In the face of the sun"

or in

"To whirl and to dance"

Learn more about poem in: https://brainly.com/question/9527212

Answer:

Step-by-step explanation:

I took the quiz :)

Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution.
WILT
5
y = -2 +2
{
y = 32 - 4
ng
Choose 1 answer:
f
xt
1
3
2Y =
f
aple
©
5
=
27=
1
2
3
1
2
tems
293
1
5
D
Do 4 problems

Answers

Hey there! I'm happy to help!

Since we are using graphs, we will do not need to algebraically solve this system of equations.

When you graph a system of equations, the solution is always the point at which the two lines intersect.

Here is our system of equations graphed. We see that the lines intersect at about (1 1/3, 2 1/3). Therefore, the correct answer is C. x=1 1/3, y=2 1/3

Have a wonderful day! :D

12 times 3/8 and simplified

Answers

Answer:

4 1/2

Step-by-step explanation:

[tex]12*\frac{3}{8} \\=3*\frac{3}{2} \\=9/2= 4 \frac{1}{2}[/tex]

f(x)=3x-5, f(2r)

help or i might have to retake this class next semester AHHHH

Answers

Answer:

f(2r) 6r - 5

Step-by-step explanation:

Substitute x = 2r into f(x) , that is

f(2r) = 3(2r) - 5 = 6r - 5

ann works in a supermarket for $10.00 per hour. she received a raise to $12.00 . What is the percent of change in her hourly wage?

Answers

Answer

20%

Step-by-step explanation:

10.00 is the start wage, 12.00 is the new wage

going from 10 to 12 dollars is a 2 dollar increase

2 dollars is 20% of her original salary, so she is now making 120% of what she previosuly made which is a 20% increase

Help help help math math

Answers

Answer: 144 cm^3

Step-by-step:

Plug the radius into the volume formula.

V= 3/4(pie)4^3

Simplify the 4^3.

V= 3/4(pie)(64)

Multiply 64 by pie (which in this case is represented by 3).

V= 3/4(192)

Find 3/4 of 192 by multiplying.

V= 144 cm^3

Can someone answer this​

Answers

Answer:

-2/3 is the correct answer

Step-by-step explanation:

hope this helps

Answer:

Number 2 is the answer.

Step-by-step explanation:

Rise/run

and the line is going down.

Disney is hiring new employees. They currently employ 2,550 workers and want to hire
10 new workers per day. How many days will it take them to have employed 5,000
workers?

Answers

Answer:

I think it is 500

Step-by-step explanation:

5000 / 10 = 500

Elsa makes a poster that is 1.5 m tall. Greg makes a poster that is 96 cm tall. Who makes a taller poster?

Answers

Answer:

dont mind me just grinding for points

Step-by-step explanation:

Kent had $280. He spent 3/7 of his money on a present and 1/4 of his money on a meal. How much money did Kent spend altogether​

Answers

Answer:

$190

Step-by-step explanation:

he spent 3/7·(280), or $120 on a present

he spent 1/4·(280), or $70 on a meal

he spent $190 altogether

20 POINTS! Will give brainliest to correct answer! Please help. I would also really appreciate an explanation for the answer so that I can do it on my own next time.

Answers

Answer:10/9 if I am wrong I am sorry

Step-by-step explanation:

Answer:

[tex]\frac{100}{9}[/tex]

Step-by-step explanation:

nvmmm jdkslkdijewkl,jdkr3tfrrrrrrrrredsw

Answers

hmmm, between the three options I would go with the second one since the number of 1-foot cubes equals exactly the volume of the fish tank.

But to truly calculate the volume

5 x 3 = 15

15 x 3 = 45

45 is the volume of the fish tank

5(x-4)+?=+12x-21 what is the answer?

Answers

5(x-4) + ? = 12x - 21

5x - 20 + ? = 12x - 21

? = 7x -1  

ok done. Thank to me :>

Josiah, Nathaniel and Walden work 7,5, and 3 days respectively on a particular job. If the payment for the job is $216.00, how much did Josiah receive?
$100.80
$72.00
$43.20
$23.20

Answers

100.80 that’s how much he received

Which situation is NOT a linear function?
A. A video subscription service which charges $7.99 a month
B. A factory worker that gets paid $19 an hour
C. A $350,000 house that depreciates 4% per year
D. A gym membership that charges $7 when joining, and $12 a month

Answers

Answer:

C

Step-by-step explanation:

If you take 4% away from 350,000, it equals 336000. Divide this number by 350000, and you get 96%, which makes sense. But, if you take 4% away from 336000, it equals 322560. If you take 322560 divided by 350000, it equals 92.16%. This proves it is not linear, because if it was linear, the ending percentage would be exactly 92% since you took away 4% twice.

What is the Answer to this

Answers

Answer:    18.8

========================================================

Explanation:

For now, let's focus on triangle AFG.

This is a right triangle with the following sides:

FA = unknown horizontal leg = xFG = vertical leg = 6.1AG = hypotenuse = 11.2

We'll use the pythagorean theorem to solve for x.

a^2 + b^2 = c^2

(FA)^2 + (FG)^2 = (AG)^2

x^2 + (6.1)^2 = (11.2)^2

x^2 + 37.21 = 125.44

x^2 = 125.44 - 37.21

x^2 = 88.23

x = sqrt(88.23)

x = 9.39308 approximately

Side FA is roughly 9.39308 units long.

-----------

Let's say for a moment we don't know where point G is located, but we do know where points A, C, and E are located. We can determine G's location by determining the perpendicular bisectors for segments AE and EC, and then intersecting said perpendicular bisectors.

Put another way:

FG is a perpendicular bisector for AEDG is a perpendicular bisector for EC

Because of the first bullet point, we know that AE is split into two equal pieces FA and FE, ie FA = FE.

We just found that FA = 9.39308 back in the last section, which means this is the length of FE as well.

Therefore,

AE = FA + FE

AE = 9.39308 + 9.39308

AE = 18.78616

AE = 18.8 when rounding to the nearest tenth, aka one decimal place.

Answer:

18.79

Step-by-step explanation:

→ Use Pythagoras theorem

√11.2² - 6.1²

→ Simplify

9.39

→ Now double the answer

18.79

help pls the image below represents ____

Answers

Answer:

I think it's a Box Plot, hope this helps

helppppppppppppppppppp​

Answers

Who knows ?just need points

Answer:

B. a×1

Step-by-step explanation:

This is because a×1 gives a result of a thus,a multiplying the identity element of multiplication

Given 4 < x < 9 and 5 - y< 4 , where x and y are integers. Find the maximum value of x-y. ​

Answers

Answer:

You want to maximize x and minimize y

Maximum y = 8

Minimum y = 10

8-10= -2

Shanti wrote the predicted values for a data set using the line of best fit y = 2. 55x â€" 3. 15. She computed two of the residual values. A 4-column table with 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled given with entries negative 0. 7, 2. 3, 4. 1, 7. 2. The third column is labeled predicted with entries negative 0. 6, 1. 95, 4. 5, 7. 2. The fourth column is labeled residual with entries negative 1, 0. 35, a, b. What are the values of a and b? a = 0. 4 and b = â€"0. 15 a = â€"0. 4 and b = 0. 15 a = 8. 6 and b = 14. 25 a = â€"8. 6 and b = â€"14. 25.

Answers

The residual of a regression is the difference between the actual value and the predicted value

The values of (a) and (b) are -0.4 and 0, respectively.

The entries are given as:

x  Given  Predicted    Residual

1    -0.7         -0.6             -1

2   2.3         1.95            0.35

3   4.1           4.5              a

4   7.2          7.2              b

The residual of a line of best fit is calculated using:

[tex]Residual = Actual - Predicted[/tex]

Using the entry headings, the formula would be:

[tex]Residual = Given - Predicted[/tex]

To calculate the value of (a), we make use of entry (3).

So, we have:

[tex]a = 4.1- 4.5[/tex]

[tex]a = -0.4[/tex]

To calculate the value of (b), we make use of entry (4).

So, we have:

[tex]b = 7.2- 7.2[/tex]

[tex]b = 0[/tex]

Hence, the values of (a) and (b) are -0.4 and 0, respectively.

Read more about residuals at:

https://brainly.com/question/4333650

Please helpppppppppp
Explain the steps in solving 2.14x-12.18=-576 , and write the solution to the equation.

Answers

Answer:

add 12.18 to both sides and the divide by 2.14 on both sides until its x equal whatever you get

I need help with this !!

Answers

Answer:

  -27

Step-by-step explanation:

It looks like you're trying to evaluate ...

  [tex]\displaystyle 5^{\log_5{8}}-3^{\log_3{5}+\log_3{7}}=8-3^{\log_3{35}}=8-35=\boxed{-27}[/tex]

__

The relevant rules are ...

  b^(log_b(x) = x

  log(a)+log(b) = log(ab)

Find the surface area of a sphere with a diameter of 10 centimeters.
a. 1,256.6 cm3
b. 104.7 cm3
c. 314.2 cm3
d. 209 cm3

Answers

ANSWER: c. 314.2 cm3
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