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

The quotient of triple a number less four and five equals two. What is the number?

Answers

Answer:

14/3

Step-by-step explanation:

The quotient of triple a number less four and five equals two. What is the number?

"triple a number" means 3x, if we say x is the "number"

"triple a number less four" means (3x-4)

"quotient of [triple a number less four] and five equals two." means

(3x-4)/5 = 2

3x-4 = 10

3x = 14

x = 14/3

===

Does ((14/3)3 - 4)/5 = 2 ???

(14 - 4)/5

10/5 = 2                         YES

What is the number?

Help ~ with this question~

[tex]4 + 4 \div 5[/tex]

Answers

I just added 4 plus 4 to get 8 then divide by 5 which become the decimal 4.8……

Answer:

4.8

Step-by-step explanation:

[tex]\sf 4+4\div 5[/tex]

[tex]\sf 4\div 5 =0.8[/tex]

[tex]\sf 4+0.8[/tex]

[tex]\sf 4.8[/tex]

* Hope it helps, ty 4 pts!

* Have a good day!

Consider that your profit-maximizing quantity of 500 can be produced at an average cost per unit of $9 and sold for a market price of $14 What is your profit per unit? What is your total profit?

Answers

Based on the quantity sold and the price, the profit per unit is $5 and the total profit is $2,500

The profit made from each unit sold can be found as:

= Market price - Average cost

= 14 - 9

= $5

The total profit would therefore be:

= Profit per unit x Number of units sold

= 5 x 500

= $2,500

In conclusion, the profit per unit is $5 and the total profit is $2,500

Find out more about profit per unit at https://brainly.com/question/25531124.

Find the value of x.

Answers

Answer:

x = 83°

Step-by-step explanation:

[tex] {x}^{o} + {75}^{o} + {97}^{o} + {105}^{o} = {360}^{o} \\ {x}^{o} + {277}^{o} = {360}^{o} \\ {x}^{o} = {360}^{o} - {277}^{o} \\ {x}^{o} = {83}^{o} \\ [/tex]

What is the graph of y=3/4x-1?​

Answers

Answer:

Here is a screenshot of my graph.

Step-by-step explanation:

plz answer!!!!!!!!!!!!!!​

Answers

Answer:

7

Step-by-step explanation:

i know

PLEASE HELP SOMONE.
Suppose you invest $5000 into an account the earns 2% interest compounded quarterly. How much money will you have after 30 years? Use the formula .
Group of answer choices

Answers

Answer:

So here is the answer to your question by using the formulae of compound amount.

Initial price( P) = $5000

Interest rate( R) = 2% pa

Time ( T) = 30 years

Compound amount (CA)=?

We have

CA=P(1+R/100)^T

=5000(1+2/100)^30

=$9056.807921

=$9057(Approx)

Thus, the money will be $9057 after 30 years.

An item is regularly priced at $70. It is on sale for 20% off the regular price. How much (in dollars) is discounted from the regular price?
Amount discounted:?

Answers

Answer:

$14 discount$56 discounted price

Step-by-step explanation:

The amount of the discount is ...

  20% of $70 = 0.20·$70 = $14 . . . discount

The discounted amount is ...

  $70 -14 = $56 . . . discounted price

A school sells T-shirts to promote school spirit. The school's profit is given by the function P(x) = 8x - 150, where * is the number of T-shirts sold.
During the play-offs, the school increases the price of the T-shirts. The school's profit during the play-offs is given by the
function Q(x) = 16x - 200, where x is the number of T-shirts sold.
Describe the transformation using the words slope and y-intercept from the graph of P to the graph of Q.

Answers

Answer:

Step-by-step explanation:

plz help me!!!!!!!!!!!!!!!

Answers

Answer:

Go up 2, then over negative 6

Step-by-step explanation:

the (x) is 2 and the (y) is -6.



Does ANYONE Know How To Solve THIs…Brainliest Will be awarded!!!

Answers

Answer:

w = 8x = 8√2y = 8√2z = 16

Step-by-step explanation:

A 45-45-90 right triangle is isosceles. That means both legs are the same length, and its hypotenuse is √2 times the leg length. You can figure these facts using trigonometry or the Pythagorean theorem, or you can rely on your memory of them.

w = 8 . . . . . . . . . . . same as the leg length shown

x = y = 8√2 . . . . . hypotenuse of smaller triangle; both legs are the same

z = (8√2)√2 = 16 . . . . hypotenuse of larger triangle

Which graph represents the same relation as the rule y = 2x, for all real numbers x?

A coordinate plane has 5 points. The points are (negative 2, negative 4), (negative 1, negative 2), (0, 0), (1, 2), (2, 4).

On a coordinate plane, a horizontal line intercepts the y-axis at (0, 2).

On a coordinate plane, a straight line with positive slope intercepts the axis at (0, 0). The line goes through points (negative 2, negative 4) and (2, 4).

On a coordinate plane, 11 points form a vertical line that crosses the x-intercept at (2, 0).

Answers

On a coordinate plane, a horizontal line intercepts the y-axis at (0, 2).

What is co-ordinate plane?

A Cartesian coordinate system in a plane is a system of coordinates that uniquely identifies each point by a pair of numerical coordinates. These numerical coordinates are the signed distances from two fixed perpendicular oriented lines to the point, measured in the same unit of length.

A horizontal line exists as a straight line that varies from left to right or right to left. In coordinate geometry, a line is expressed to be horizontal if two points on the line include the same Y- y-coordinate points. It arrives from the term “horizon”. It indicates that the horizontal lines exist invariably parallel to the horizon or the x-axis.

Hence, On a coordinate plane, a horizontal line intercepts the y-axis at (0, 2).

To learn more about co-ordinate planes refer to:

https://brainly.com/question/7038052

#SPJ2

Answer:

C

Step-by-step explanation:

Edge 2023

8[tex]x^-{4/3}[/tex]

Answers

Answer:

6

Step-by-step explanation:

8x

[tex] 8x - \frac{4}{3} = 0 \\ 8x = \frac{4}{3} \\ 24x = 4 \\ x = 6[/tex]

(44+6x) / (16+x) ………

Answers

The answer would be 6- 52/(x+16)
The answer above me is correct

but if simplified it’d be 2(22+3x)/16+x

What is the radical form of the expression 4 3/2

Answers

The last option. The top part of the fraction becomes s the exponent of the number inside the root. And the bottom part of the fraction is on top part of the root symbol. With square roots you don’t write the number 2. That’s why there is no number in the last option because that means it is square root (2)

How many solutions does this equation have?
-2(t- 4) = 10 - 27
no solution
one solution
infinite solutions
two solutions

Answers

Answer:

t = 12.5

Step-by-step explanation:

Assuming you typed the equation correctly:

-2(t-4) = 10 - 27

-2(t-4) = -17

t-4 = 8.5

t = 12.5

So, there's only one solution

Hello!! can you please help me? I've been trying to answer this question for a while now, but I cant seem to figure it out. (9th grade Geometry).

Answers

I’m still looking but it may take me awhile I’m not the greatest at this but this is what I have:
A=50
B=50
C=58
M=130

angle A and angle B are supplementary angles. If m∠=(4x - 30) degree and m∠B =(4x-14) degree, then find the measure of ∠A

Answers

Answer:

<A = 26°

Step-by-step explanation:

4x - 30 + 4x - 14 = 180

Supplementary angles sum together to make 180

=> 4x + 4x = 16x

=> -30-14 = -44

16x = 180+44

16x = 224

x = 224/16

x = 14°

4(14) - 30 = 26°

The sum of Alyssa's age and her sister's age is 48 years. Alyssa's age is 6 years less than twice her sister's age. What is Alyssa's age, and what is her sister's age?​

Answers

Answer:

Alyssa's Sister = 18, Alyssa = 30

Step-by-step explanation:

48 = 2x-6 + x

54 = 2x + x

54 = 3x

18 = x

2(18) - 6

36 - 6

30

48 = 2(18) - 6 + 18

48 = 36 - 6 + 18

48 = 30 + 18

48 = 48

The Williams merch team earned 8,000 on mask sales and will earn 4 for each T-shirt they sell. Their goal is to earn 12,000 on today’s sales. Write an inequality to determine the number, t, of t-shirts the merch team could sell to earn their goal.

Answers

Answer:

[tex]12,000\geq 4t+8,000[/tex]

Step-by-step explanation:

HELP!!!!!!!!!!!!!!!!!!!

Answers

Answer:

4) a₁₅ = 128

5) B. [tex]a_n=a_{n-1}+6[/tex]

Step-by-step explanation:

4)

This is an arithmetic sequence, where all terms have a common difference:

[tex]a_n=a_1+(n-1)d[/tex]

Here, the common difference is 9.

[tex]11-2=9\\20-11=9[/tex]

Use that to write the equation and solve for a₁₅:

[tex]a_n=2+(n-1)9\\\\a_{15}=2+(15-1)9\\a_{15}=2+(14)9\\a_{15}=2+126\\a_{15}=128[/tex]

5)

This is also an arithmetic sequence, but it is a recursive arithmetic sequence in the form of:

[tex]a_n=a_{n-1}+d[/tex]

This simply states that each term is d more than the term before it.

Here, the common difference is 6:

[tex]2--4=6\\8-2=6\\14-8=6[/tex]

And the equation for this is B. [tex]a_n=a_{n-1}+6[/tex]

A moving truck traveled 333 miles in 6 hours. A car traveled 210 miles in 4 hours. What was the average rate of speed (mph) for each vehicle?

Answers

Divide distance by time

Truck : 333/6 = 55.5 miles per hour

Car: 210/4 = 52.5 miles per hour

Answer:

Below.

Step-by-step explanation:

Speed of truck = 333/6 = 55.5 mph.

Speed of car = 210/4 = 52.5 mph.

ALGEBRA
GIVE THE EXPRSSION FOLLOWING CASE
1. Y IS MULTIPLIED BY -8 AND THEN 5 IS ADDED TO THE RESULT

Answers

Is there a picture that I can see so I can hopefully help you out?

75 basketballs cost $1,143.75. Find the cost of 26 basketballs.

Answers

397.19333 because is you divide 1,143.75 into 75 groups you would get 15.2766667 and you multiply that by 26

solve pls braniliest

Answers

Answer: past tense

Explanation: because it says "made" not "making"

Answer:

Past tense

Step-by-step explanation:

The verb ("made") is in the past tense.

Hope this helps :)

2. A group of 40 subjects was divided into two groups with one group given an energy drink and one group
given water. The subjects were then given a spelling test and
the mean number of words correctly spelled was
recorded for each member of the two groups. This experiment was designed this way to quantify which of the
following types of variability?
(1) natural
(3) induced
(2) sampling
(4) measurement

Answers

The design of the experiment was done to quantify induced variability.

What is induced variability?

Induced variability is when a variable that is not naturally present in the experiment is introduced into the experiment in order to test the response of respondents to the variable introduced. The artificial variable that was introduced into the experiment was energy drinks.

To learn more about induced variability, please check: https://brainly.com/question/17290441

#SPJ2

Hi. I'm kind of confused on this question. Pls help

Answers

Answer:

B is the awnser.

Step-by-step explanation:

cuz it is incorrect.

During her vacation, Leslie traveled 578.78 miles in 3 days.


On the first day, she traveled 197.07 miles, and on the second day, she traveled 187.11 miles. how many did she travel the 3rd day?

Answers

Answer:

I think the answer is 194.6 miles on the third day

Step-by-step explanation:

What is the greatest common factor of 8, 28, and 48?

Answers

[tex] \: \: \: \: \: \: \: [/tex]

the GCF of 28,48 are

GCF OF 28

1 , 2, 4, 7, 14, 28

GCF OF 48

1 , 2, 3, 4, 6, 8, 12, 16, 24, 48

hope it helps

The greatest common factor of 8, 28, and 48 is 4.

Greatest Common Factor

The largest common factor out of all the numbers in the given set is known as Greatest Common Factor.

How to evaluate Greatest Common Factor?

Factors of 8, [tex]8=2\times 2\times 2[/tex]

Factors of 28, [tex]28=2\times 2\times 7[/tex]

Factors of 48, [tex]48=2\times 2\times 2\times 2\times 3[/tex]

The common factors in the above set of numbers are 2and 2.

So, the Greatest Common Factor of 8, 28, and 48 is  [tex]2\times 2=4[/tex].

Learn more about Greatest Common Factor here: https://brainly.com/question/11444998

#SPJ2

I need help with solving this with synthetic division

Answers

Answer:

Synthetic division is another way to divide a polynomial by the binomial x - c , where c is a constant.

Step-by-step explanation:

Set up the synthetic division.

Bring down the leading coefficient to the bottom row.

Multiply c by the value just written on the bottom row.

Add the column created in step 3.

Other Questions
Drag the tiles to the correct boxes.Put the equations in order from least to greatest number of solutions.I - 8 - 4 = -1310| + 3 = 33 - 1 + 4 = 10ResetNextEdmentum. All rights reserved. what was the purpose of the pyramids in ancient egypt What is 6x + 5x - 6 = 32 + 9x Which statement is true?A.Puberty is an easy time of life for all teens.B.Everyone experiences puberty in the same way.C.Everyone starts puberty at the same age.D.Puberty begins at different times for different people. Read the passage.Too much screen time can cause eyestrain, irregular sleep patterns, and behavioral problems. This kind of negative screen time also inhibits social skills. My son spends all his time in the basement playing video games instead of going outside. Excessive screen time is having a real effect on children, so we should encourage our kids to cut back. Which bias does the author show in presenting data about excessive screen use?The author believes that kids should have decreased screen time. The author thinks that screen time causes many health issues. The author concludes that kids lack social skills due to screen time.The author feels that a parent should manage screen time. 100 pts. & will give brainliest! answer asapevery year in delaware there is a contest where people create cannons and catapults designed to launch pumpkins as far in the air as possible. the equation y = 15 + 110x - 16x^2 can be used to represent the height, y, of a launched pumpkin, where x is the time in seconds that the pumpkin has been in the air. what is the maximum height that the pumpkin reaches? how many seconds have passed when the pumpkin hits the ground? (hint: if the pumpkin hits the ground, its height is 0 feet) a. the pumpkins maximum height is 204.06 feet and it hits the ground after 7.01 seconds.b. the pumpkins maximum height is 3.44 feet and it hits the ground after 7.01 seconds.c. the pumpkins maximum height is 204.06 feet and it hits the ground after 3.44 secondsd. the pumpkins maximum height is 3.44 feet and it hits the ground after 204.05 seconds. What is the length of the unknown side of the right triangle? (1 point)A right triangle with hypotenuse x and legs 21 and 20A)21B)29C)400D)441 PlZ HELPfill in the blanks Someone please answer this quickly!Note: T is the center of the circle. Find the equation of this line. the turns ratio for a transformer with 225 turns of wire in its primary winding and 675 turns in the secondary is: n 3.The grade-point averages of 20 college seniors selected at random from a graduating class are as follows:3.2, 1.9 ,2.7, 2.4, 2.8, 2.9, 3.8, 3.0, 2.5, 3.3, 1.8, 2.5, 3.7, 2.8, 2.0, 3.2, 2.3, 2.1, 2.5, 1.9 Calculate the standard deviation. Helen has been sick and only able to work on a part time basis what type of disability may she be eligible for? What percentage should she expect the insurance policy to pay solve the equation using elimination Common mistakes in thinking are called fallacies.a. Trueb. False Mary works at a local Burger King restaurant. Her regular hourly wage is $14.70. If she works overtime, shereceives an hourly rate of 14 times her regular hourly rate. If she regularly works 40 hours per week with noovertime, what is her regular weekly pay?$882$2.94$588$294 list theamino acids that are coded for by the codonsAGU, GGG, CCU, and GUG. The price of an item has been reduced by 20% The original price was $32 find the price of the item now. Only the a) part please!!!! imagery functions as a coding system to help individuals acquire movement patterns. this describes