Diego is thinking of two positive numbers. He says, "If we triple the first number and double the second number, the sum is 34." a. Write an equation that represents this clue. Then, find two possible pairs of numbers Diego could be thinking of. b. Diego then says, "If we take half of the first number and double the second, the sum is 14." Write an equation that could represent this description. c. What is Diego's two numbers? Explain or show how you know. A coordinate plane is given here, in case helpful.

Answers

Answer 1

Answer:

x = 8

y = 5

Step-by-step explanation:

Let

x and y = the two positive numbers

a. 3x + 2y = 34 (1)

b. 1/2x + 2y = 14 (2)

Solve the simultaneous equation

3x + 2y = 34 (1)

1/2x + 2y = 14 (2)

Subtract (2) from (1)

3x - 1/2x = 34 - 14

6x-x/2 = 20

5/2x = 20

x = 20 ÷ 5/2

= 20 × 2/5

= 40/5

= 8

x = 8

Substitute x = 8 into (1)

3x + 2y = 34 (1)

3(8) + 2y = 34

24 + 2y = 34

2y = 34 - 24

2y = 10

y = 10 / 2

= 5

y = 5

Diego's two numbers are 8 and 5 respectively


Related Questions

Jim is building a model airplane. The scale is 1 in : 40 ft. The actual wingspan of the plane is 211 feet. How long will the wings of the model be?

Answers

Answer:

422 that's how long the wingspan will be.

hospital pays $9 for each set of scrubs plus a delivery fee of $13 per order the total cost for the scrub order was $463. how many sets of scrubs did the hospital order?

Answers

They ordered 50 sets of scrubs

Answer: 50 sets

Step-by-step explanation:

Scrubs=9x fee=13 total=463

463-13 dollar fee =450 450/9 equals 50 sets of scrubs to check it do 9x+13=463 x=50 so 9(50)+13=463 then 450+13=463 463=463 :) you're welcome hope it's the right type of math you need!

what is 10÷1/3 and the answer had to be a whole number​

Answers

Answer:

30

Step-by-step explanation:

your basically multiply, that's how I think about it

10 · 3

Whitney has £265 Nancy has £180 They each spend the same amount of money. Whitney has twice as much money as Nancy left now. How much money did they each spend?

Answers

Answer:

£95

Step-by-step explanation:

Given that:

Whitney's initial amount = £265

Nancy's initial amount = £180

Let amount each spent = x (amount is the same)

After spending Whitney has twice as much money as Nancy.

Amount spent by each?

(Whitney's initial amount - x) = 2(Nancy's initial amount - x)

265 - x = 2(180 - x)

265 - x = 360 - 2x

-x + 2x = 360 - 265

x = £95

Hence, they both spent £95

State the slope and y-intercept of the graph of y=−25x+2

Answers

Answer:

slope=-25  y-intercept=2

Step-by-step explanation:

Answer: Slope=-25

y-int=2

Step-by-step explanation: y=mx+b, m is the slope and b is the y-int. The slope is the number in front of x like -25x that is -25. The y-int is the next to the slope which is 2.

Kinsley can illustrate 9 story book pages in 3 hours. How many pages can she
illustrate per hour?
Hint: Make a W.O.N. table to solve.
o A) 27 pages
B) 9 pages
o C) 1 page
D) 3 pages

Answers

Answer:

3 pages

Step-by-step explanation:

because if she reads 9 pages in 3 hours if you multiply each answer by 3 you should be able to find the right answer

Question
Help me -.8+ 2X = .3 - x

Answers

Step-by-step explanation:

2x+x=.3+.8

3x= 1.1/:3

x=0.366

Answer:

x = -2.566667

Step-by-step explanation:

simplify both sides

8 + 2x = 0.3 - x

8 + 2x = 0.3 + - x

2x + 8 = - x + 0.3

add x to both sides

2x + 8 + x = - x + 0.3 + x

3x + 8 = 0.3

subtract 8 from both sides

3x  + 8 - 8 = 0.3 - 8

3x = -7.7

divie both sides by 3

3x/3 = -7.7/3

x = -2.566667

Betty bought 3 packages of chocolate cupcakes and 7 packages of vanilla cupcakes. Each package contains 24 cupcakes. Which equation is NOT a way to find c, the number of cupcakes Betty bought in all?

Answers

Answer:

The equation to find the number did cupcakes bought in all =

= 3c + 7c

= c(3 + 7)

The total number Betty bought in all = 240 cupcakes.

Step-by-step explanation:

Let the amount of cupcakes in a package be represented by c

Betty bought 3 packages of chocolate cupcakes and 7 packages of vanilla cupcakes.

The equation to find the number did cupcakes bought in all =

3 × c + 7 × c

= 3c + 7c

= c(3 + 7)

Each package contains 24 cupcakes

The total number = 3(24) + 7(24)

= 240 cupcakes.

Find each unit rate. Determine which is lower. Drag and drop the correct rate or letter into each of the boxes to complete the sentences. Ingredient C: 1/5 cup for 3/4 serving or Ingredient D: 1/4 cup for 4/5 serving.

Answers

Answer:

4/15 < 5/16

Ingredient C < Ingredient D

Hence ingredient C has a lower cup per serving than ingredient D

Step-by-step explanation:

Given the unit rates :

C: 1/5 cup for 3/4 serving or Ingredient

D: 1/4 cup for 4/5 serving

C : 1/5 cup for 3/4 serving

1/5 ÷ 3/4

1/5 * 4/3

= 4 / 15

= 0.2667

D: 1/4 cup for 4/5 serving

1/4 ÷ 4/5

1/4 * 5/4

= 5 / 16

= 0.3125

5/16 > 4/15 ;

Ingredient C < Ingredient D

Hence ingredient C has a lower cup per serving than ingredient D

2x+2y=38
Y=x+3

Substitute to solve

Correct answer gets Brainliest

Answers

Answer:

x=8

y=11

Step-by-step explanation:

2(8) + 2(11) = 38

8 + 3 = 11

Please Help Me I will give you 100 Points

Answers

Answer:

twoendndbdsjwu

Step-by-step explanation:

Answer:

a. x represents the 1$ rides and y represents the 2$ rides.

b. they represent the rides that she has taken.

c. (4, 11) or  x = 4 and y = 11

Step-by-step explanation:

plsssssssssssssss help with 11

Answers

Answer:

1 = $3.50

( I tried my best)

Factoring the following Difference of Two Perfect Squares.
X^2– 16

Answers

hi

x²-16  =  (x+4)  (x-4)

The area model shows 2 and one-third. What is 2 times 2 and one-third?

Answers

Answer:

14/3 or 4.6

Step-by-step explanation:

help pls thank you!!

Answers

10/2.5= 4
2/3*4= 8/3

2 2/3 is your answer (C)

Answer:

C 2+2/3

Step-by-step explanation:

10/2.5= 4

2/3*4= 2+2/3

​​ What is the area of a rectangle with vertices at ​(0, −4)​, ​(−1, −3)​ , (2, 0), and (3, −1)? Enter your answer in the box.
( ) units²

Answers

Answer:

?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Which of these statements best describes the relation shown in Item 1?

A- A function that is one-to-one
B-A function that is many-to-one
C-A function that is one-to-many
D-A relation that is not a function

Answers

Answer:

The relation is 'a function that is one-to-many'.

Step-by-step explanation:

From the table, we can see that element 10 i.e. y=10 in the range, corresponds to two elements i.e. x=-5, and x=5 in the domain.

In other words, the given table represents the many-to-one function as an element of the range y = 10 corresponds to more than one element in the domain.

Therefore, the relation is 'a function that is one-to-many'.

The statements that best describe the relation shown in Item 1 is one to many. Option C is correct

Functions are represented as mappings to relate the domain of the given function with the co-domain.

For instance, the function y= x + b has a domain of x and the codomain of "y"

Mappings can be one to one, where each value of the domain is a unique value in the co-domain

Many to one where one element in the domain have more than one element in the codomain

From the given table, we can see that when y = 10, the corresponding x values are 5 and -5. his shows that the codomain value (10) has more than one unique value in the domain.

Hence the statements that best describe the relation shown in Item 1 is a one to many

Learn more here: https://brainly.com/question/22738955

Which best represents 3=x/6 -2

Answers

Answer:

30

Step-by-step explanation:

Answer: x = 30

Step-by-step explanation: To solve for x, first you’ll have to make sure that your result will equal to 3. ( x/6 -2). Next, look for a numerator that can make a fraction that equals to 5. Then, you would have to multiply 6 x 5, which equals to 30, so 30 will be x. 3 = (30/6 - 2) 3 = 5-2.

5 2/5 as a decimal number

Answers

Answer:

27/5 = 5,4

Step-by-step explanation:

5 2/5 = 27/5 = 5,4

a. Each day, your teacher randomly calls on 5 students in your class of 30. What is the
probability you will be called on today?

Answers

Answer:

The probality is 5/30 or in simpliest form it is 1/6!

Step-by-step explanation:

Hope this helps! Plz give me brainliest

Hellppppppppppppppppp

Answers

Answer: im pretty sure its option 2

Step-by-step explanation:

"Shaquille, Lyle, and Amanda collect stamps. Shaquille has one-half the number of stamps that Lyle has. Amanda has two-thirds as many stamps as Lyle. Together they have 364 stamps. How many stamps does Amanda own?" Please help me :c

Answers

Answer:

112 stamps

Step-by-step explanation:

Shaquille and Amanda's stamps are described in terms of Lyle's, so:

Lyle's = 6x                     6x+3x+2x=364

Shaquille's = 3x                       13x=364

Amanda's = 4x                            x=28

Lyle has 168 stamps, Shaquille has 84, and Amanda has 112. 168+84+112=364

112 stamps hope this helps

I need help solving for x

Answers

X=-10

That’s the answer

Justin is ordering 5 identical sandwiches and a bag of chips. The bag of chips cost $1.25 and the entire order costs $38.75. Which equation can be used to find the price of a sandwich, s?

Answers

Answer:

5S +1.25 = 38.75

Step-by-step explanation:

5 S = 5 sandwich cost

+ 1.25 = chip cost

answer of s is

S = 7.50

If you want to buy an item in a store that costs $32.50 and is on sale for 30% off, then how much would the item actually cost you after the discount? Round to the nearest cent.​

Answers

Answer:

22.80

Step-by-step explanation:

100% - 30% = 70% that you'll be paying

70% = [tex]\frac{70}{100}[/tex]  = 0.7

0.7 * 32.50 = 22.75

Round to nearest cent: 22.8

Imad's family drove 345 miles from Chicago to Cleveland.
They drove at a speed of 50 miles per hour. How many hours did it take Imad's family to drive from Chicago to Cleveland?
A
7.1 hr
B
6.35 hr
6.9 hr
D
7.9 hr

Answers

Answer:

6.9 is the answer

Step-by-step explanation:

345 divided by 55. hope this helps....

Find the equation of the linear function represented by the table below in slope-intercept form.

x- 0 1 2 3 4

y- 9 18 27 36 45

Answers

Question: Where is the y2? Please be more specific!

help with math hw please

Answers

Answer:

x = 4

Step-by-step explanation:

All of the sides are the same so every angle is 17x-8.

Every triangle adds up to 180 degrees.

3(17x-8)=180

51x-24=180

    +24  +24

51x=204

 x= 4

What is the Awnser to this?

Answers

The answer is 16 and 3

1/2-1/4

help?:) uhhhh thankssss

Answers

1/2 - 1/4 = 2/4 - 1/4 = 1/4

I hope this helps!
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