The difference between two numbers is 7. The sum of twice the larger number and three times the smaller number is 19.

Answers

Answer 1

Answer:

x= 8   y= 1

Step-by-step explanation:

First, you identify your variables:

x= larger number

y= smaller number

Second, you find your equations:

x - y = 7

2x + 3y = 19

Third, (I used the substitution method) you make "y" by itself for the 1st equation.

y = x - 7

2x + 3y = 19

Then, you plug in the 1st equation for "y" in the 2nd equation

2x + 3(x - 7) = 19

Then, you distribute and simplify.

2x + 3x - 21 = 19

5x - 21 = 19

5x = 40

x = 8

Finally, you plug in the variable you found ( x ) into one of the equations and solve,

8 - y = 7

- y = -1

y = 1


Related Questions

8) Lisa and Jasmine are selling cheesecakes for a school fundraiser. Customers can buy pecan
cheesecakes and apple cheesecakes. Lisa sold 3 pecan cheesecakes and 7 apple cheesecakes for a
total of $130. Jasmine sold 12 pecan cheesecakes and 14 apple cheesecakes for a total of $338.
Find the cost each of one pecan cheesecake and one apple cheesecake.

Answers

9514 1404 393

Answer:

  both cost $13 each

Step-by-step explanation:

Let p and a represent the costs of pecan and apple cheesecakes, respectively.

  3p +7a = 130 . . . . . . Lisa's sale

  12p +14a = 338 . . . . Jasmine's sale

Both the ratios of p-coefficients (4) and a-coefficients (2) are "nice" numbers, so "elimination" is a viable solution method here.

Subtracting twice the first equation from the second eliminates 'a'.

  (12p +14a) -2(3p +7a) = (338) -2(130)

  6p = 78 . . . . . simplify

  p = 13 . . . . . . .divide by 6

Substituting into the first equation gives ...

  3(13) +7a = 130

  7a = 91 . . . . . . . subtract 39

  a = 13 . . . . . . . . divide by 7

The cost of one pecan cheesecake is $13; the cost of one apple cheesecake is $13.

__

A graphing calculator can solve the two equations nicely. Below is a graph of them, showing the solution is (p, a) = (13, 13). Graphing calculators and some scientific calculators can also solve these equations when they are written in matrix or augmented matrix form. It can be worthwhile to learn how to use these calculator features.

I need to know what one to pick I will send an image to go with it ​

Answers

Answer: um do you need help because I don’t see the question or the picture you are talking about..

Step-by-step explanation:

For each set of measures, choose whether the conditions determine a unique triangle, more than one triangle, or no triangle.

Answers

Answer:

the first one is "1 triangle" the second one is "no triangles" the third one is "no triangles and the fourth one is "1 triangle"

Step-by-step explanation:

I got it right one edge

From conditions 1, 4 the triangles can be formed and from conditions 2,3 the no triangles can be formed.

What is a triangle?

A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.

For the given situation,

The table shows the set of measures, we need to determine which condition can make triangles.

Condition 1:

AB = 15 cm, BC = 20 cm, ∠B = 40°

By SAS criteria, this condition can form a triangle.

Condition 2:

AB = 20 cm, BC = 15 cm, ∠C = 40°

Here the condition is Side-Side-Angle. There is no such criteria, so no triangle can be formed.

Condition 3:

BC = 10 cm, BC = 5 cm, ∠A = 20°

Here side length of BC alone is given. With one side and one angle, no triangle can be formed.

Condition 4:

AC = 5 cm, BC = 10 cm, AB = 14 cm

Here three sides are given, so we can form a triangle.

Hence we can conclude that from conditions 1, 4 the triangles can be formed and from conditions 2,3 the no triangles can be formed.

Learn more about triangles here

https://brainly.com/question/16898470

#SPJ2

Hey : please help no fake anwsers : I’ll mark you brainliest :3

Answers

Answer:

320units²

Step-by-step explanation:

one half triangle

area =1/2bh

area of the triangle= 1/2*5*8

= 20units²

area of the octagon= 16*20

=320units²

16 semi triangle will make up the octagon full

I hope it work for you

Answer the question in the picture plz

Answers

A number raised to a fraction would be the same as a root to the inverse of the fraction.

What that means is the sqrt(8) raised to 1/4 is the same as being 4th root of 8.

So rewriting the given equation you would have cubic root 8 x 4th root 8

Combine the roots by multiplying: 3 x 4 = 12

The equivalent equation would be C. 12 root 8 ^ x

write an expression for b divided by 6



(please only real answers, I am already failing I don't need more bs)​

Answers

Answer:

Well divided by is basically he slash between the things so it would be

b/6

Step-by-step explanation:

÷ is basically (divided by) and whatever number comes first jsut write it like for example

10 divided by 4

10 / 4

Answer:

b/6

Step-by-step explanation:

dont you think thats a bit easy?  B divided by six, b ÷ 6,  b goes in the like box when u do long division and 6 is outside

If AB = 4x +20 and DC = 10x - 16 find x and AB

Answers

Answer: X=dc/10+8/5   X=AB/4 -5 hope it helps

Step-by-step explanation:

PLEASE HELP !! ILL GIVE 40 POINTS ; PLUS BRAINLIEST !! DONT SKIP ANSWER.

Answers

Answer:A

Step-by-step explanation:

Option C is Correct:

Angle RQN and angle MNQ are alternate interior angles.

Alternate interior angles are always equal.

How are other options incorrect?

Angles given in option A are forming linear pair.

Angles given in option B are too forming a linear pair.

Angles given in option D are corresponding angles.

7. What is the value of x? Round answer to the nearest tenth (one decimal
place) if needed.

Can you please show work thank you for your time

Answers

Answer:

x= 20,1 degrees

Step-by-step explanation:

The sum of the inner angles of a triangle is 180 degrees

So it must be

3x-11+6x-10+x = 180

added up the terms with x

10x -11-10 = 180

added up the terms without x

10x - 21 = 180

added up (21) in the two members of the equation

10x-21+21 = 180+21

10x = 201

divide the two members by 10

x = 20,1 degrees

PLEASE HELP !! ILL GIVE 40 POINTS ; PLUS BRAINLIEST !! DONT SKIP ANSWER.

Answers

The bottom left should be correct

PLEASE HELP ASAPPPP!!

question: write in standard form.

2x^2+x^3-3+4x^5

Answers

Answer:

+4X^5+X^3+2X^2-3

Step-by-step explanation:

Hope this helps :*

Which algebraic expression represents "the apples were divided equally into seven boxes"?
7+ a
С 7а
7
a

Answers

Answer:7+a

Step-by-step explanation:multiply 7 by a

Answer:

a/7 yw :)

Step-by-step explanation:

what is the x-intercept?

Answers

Answer:

-2

Step-by-step explanation:

I'm not 100% sure but...

The x-intercept is when the y is 0.

And if we look at the coordinate plane, then we see that the x-intercept is two units down, and y is zero, which means that it would probably mean that the x-intercept is -2.

Find the area of the figure to the nearest thousandth.

Answers

Answer: 225

basically 15 times 15 is 225 and thats how you do the problem

Answer:

236.625

Step-by-step explanation:

Trust me I had the same problem .

Which test would we use to show a relationship between one population and two catergorical variables ?

Answers

Answer:

independence I think

Answer:

Arithmetic

 Arithmetic calculations

 * : Multiplication

 / : Division

 Integer division truncates remainder

7 / 5 evaluates to 1

 % : Modulus operator returns remainder

7 % 5 evaluates to 2

Express the following as a single fraction in its simplest form: 12/y x y/3x

Answers

Answer:

by cancellation method  we can cancel both the y's

so the leftover digits are, 12/3x

when simplifying, we will get 4/x

∴ the final answer is 4/x

hope this answer helps you.....

HELP Math will give 35 brainly points and brainlyest

Answers

9514 1404 393

Answer:

  51°

Step-by-step explanation:

The two marked angles are a linear pair, so supplementary.

  (3x +15) +(10x +9) = 180

  13x = 156 . . . . . . subtract 24

  156/13 = x = 12 . . . . divide by 13

The smaller angle is ...

  3x +15 = 3(12) +15 = 51

The angle with the basement floor is 51°.

A die with 8 sides is rolled. What is the probability of rolling a number less than 3

Answers

Answer: 6/8

simplify by 2 and you get 3/4 your answer is 3/4

Step-by-step explanation:

What is a fact family? (Saying "it's a family of facts" will not be accepted")

Answers

Answer: Fact families are 3 numbers that make up a set of related math facts

Step-by-step explanation:

.An example of a fact family for multiplication and division is 2, 3, and 6: 2 X 3 = 6, 3 X 2 = 6, 6 2 = 3, and 6 3 = 2.

Answer:

Step-by-step explanation:

A fact family is a set of subtraction and addition equations or sentences that involve the same numbers.

Pls help help help pls

Answers

Answer:

Its the bottom left one :)

Step-by-step explanation:

PLEASEEE HELPPPP U DONT HAVE TO BE CORRECT JUST HAS TO MAKE SENSEEE PLS HELLPP

Answers

Answer:

TBH I don't really know either, but 63, 360?

Step-by-step explanation:

If they give you a number in feet, and they want inches time the number by 12? (12 inches in a foot)...sorry idrk...

Answer and Step-by-step explanation:

We are told that there are 5,280 feet in 1 mile.

We also know that 1 foot equals 12 inches.

So, to know how many inches are in One mile, we must multiply 5280 by 12.

     1    

  5280

×      12

______

 10560

+52800

_______

63360

So, the amount of inches that are in 1 mile is 63,360.

#teamtrees #PAW (Plant And Water)

An animal shelter houses rabbits​, cats​, and dogs. There are 160 animals at the shelter. Of the​ animals,
1
5 are rabbits.
7
8 of the remaining animals are cats. How many of the animals are dogs​? Show your work.

Answers

Answer:

67

Step-by-step explanation:

Which value from the set {4,6,8,10} will make p+p+p+p=24 true?
A.4
B.6
C.8
D.10​

Answers

Answer:

I think B.6 is the answer

Which of the following is a non-rigid transformation?

Answers

Answer:

c

Step-by-step explanation:

Answer:

B: Dilation

Step-by-step explanation:

Translations, rotations, and reflections are all rigid transformations because the image isn't altered. This makes a dilation a non-rigid transformation because the image is getting larger or smaller.

How many different 5-letter words can be made
a. if the first letter must be A or Y and no letter may be repeated?
b. if repeats are allowed (but the first letter is A or Y)?
c. How many of the 5-letter words (starting with A or Y) with no repeats end
in H?

Answers

Your answer would be C please trust me I’ve done this before, have a nice day (:

Pls help with question.

Answers

Answer:

5. 39.556

6.5.233

4 b  [tex]\frac{13}{2}[/tex]

4a  [tex]\frac{51}{12}[/tex]

Apples cost $1.99 per pound.

How much do 3.25 pounds of apples cost?

Answers

Answer:

$6.47

Step-by-step explanation:

set up a ratio

[tex]\frac{1.99}{1} =\frac{x}{3.25}[/tex]

cross multiply

6.47=x

Find the answer
5/8 + (2/3 - 1/4) =

Answers

Answer:

25/24

Step-by-step explanation:

simplify: 2/3-1/4 to 5/12

5/8+5/12

=25/24

HELP PLEASE ILL GIVE BRAINLIEST

Answers

Answer:

The answer is H.) (A, B, C)

Step-by-step explanation:

3 is a whole number and a natural number and 4/3 is a rational number

A graph shows the survey results for a group of students who
were asked how many honors classes they have taken and
how many elective classes:
Class Choices
Number of Elective Classes
0
lo 1 2 3
4
5 6 7 8
9 10 11
Number of Honors Classes
How many elective classes would students likely have taken if
they have taken 12 honors classes? (4 points)

Answers

Answer is 10 so yeah your welcome
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