answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Makovka662
1 month ago
15

Three times a number increased by five times another number is 49, but twice the second number exceeds five times the first numb

er by 1. What are the numbers?​
Spanish
2 answers:
sleet_krkn [1.3K]1 month ago
8 0

\huge\bold\red{ƛƝƧƜЄƦ}

Let x = "a number"

Let y = "another number"

:

Create an equation for each statement:

:

"three times a number increased by five times another number is 49"

3x + 5y = 49

:

"twice the second number exceeds five times the first number by 1."

2y = 5x + 1

In rewritten standard form

-5x + 2y = 1

:

what are the numbers?

:

Multiply the 1st equation by 5, and the 2nd equation by 3

15x + 25y = 245

-15x + 6y = 3

---------------Adding to eliminate x; find y:

0x + 31y = 248

y = \frac{248}{31}

y = 8

:

Determine x using the first equation

3x + 5(8) = 49

3x = 49 - 40

x = \frac{9}{3}

x = 3

Verify solutions in the second equation:

2(8) = 5(3) + 1

16 = 15 + 1; confirms our solution

ɪ ʜᴏᴘᴇ ɪᴛ ʜᴇʟᴘꜱ❤

Novay_Z [1.1K]1 month ago
3 0

Answer:

3   and   8

Explanation:

3a + 5b = 49

2b = 5a + 1

thus:

2b - 5a = 1       equation 1

-5a + 2b = 1     equation 2

therefore:

multiplying equation 2 by -2.5 and adding to equation 1:

   3a + 5b = 49

12.5a  - 5b = -2.5

15.5a  + 0   = 46.5

15.5a = 46.5

a = 46.5/15.5

a = 3

2b = 5a + 1

2b = (5*3) + 1

2b = 15 + 1

2b = 16

b = 16/2

b = 8

Verification:

3a + 5b = 49

3*3 + 5*8 = 49

9 + 40 = 49

You might be interested in
Describe two leading industries of Aguadulce and why they developed
gayaneshka [1323]
Located in Panama, Aguadulce is a province recognized as an agricultural hub, with its name translating to 'freshwater.' There are also places named Aguadulce in California and Seville, Spain. However, the primary industries here revolve around agriculture and sugar cane farming. The area is also notable for its salt production through the evaporation of seawater, developed due to its resources and geographic advantages.
4 0
2 months ago
Add the appropriate definite or indefinite article for each noun. Questions Definidos Question 1 with 1 blank 1 of 1 comunidad Q
Temka [1232]

This question appears quite disorganized and difficult to interpret. I'll rearrange it for you for clarity:

Please fill in the suitable definite or indefinite article for each noun.

Definidos :

____ comunidad  

_____ pintores  

_____ programa  

_____ natación  

_____ revistas  

Indefinidos:

_____ lápiz  

_____ pasajeros  

_____ computadoras  

_____ traje de baño  

_____ lección

Response:

The answers are as follows:

Definidos :

La comunidad  

Los pintores  

El programa  

La natación  

Las revistas  

Indefinidos:

El lápiz  

Los pasajeros  

Las computadoras  

El traje de baño  

La lección

Clarification:

Articles are terms that accompany nouns and precede them. They are categorized into definite and indefinite.

  • Definite articles refer to items that are known and identifiable.
  • Indefinite articles indicate items that we do not know or cannot specify.
  • Articles must correspond in gender and number with the noun they are associated with.

In the Spanish language, both types of articles have feminine, masculine, singular, and plural variations:

                         

                                    DEFINIDOS                   INDEFINIDOS

Masculino singular        El                                       Un

Femenino Singular        La                                      Una

Masculino Plural            Los                                    Unos

Femenino Plural            Las                                    Unas

4 0
3 months ago
Read 2 more answers
Question 1 with 12 blanks Querida Julia: Tu caso no (1) único, (2) muy frecuente. Hay personas que (3) insensibles a los sentimi
gayaneshka [1323]

Answer: The correct responses are:

1. es

2. es

3. son

4. es

5. está (note the accent mark at the end; without it, it means "this")

6. está

7. está

8. está

9. estás

10. es

11. eres

12. estar

Explanation: To clarify further, this exercise requires selecting the proper form of the verbs SER and ESTAR, which both mean "TO BE" in English. Many learners of Spanish struggle to distinguish these two verbs. Generally, ESTAR is used when describing a state resulting from a change, either actual or perceived, and to indicate location. For example, in sentence 5: "He is overwhelmed (he has become that way) by his studies," which is why ESTAR is used. Conversely, SER is applied for general descriptions or to identify someone, such as in sentence 11: "Julia, you are a good girl."

5 0
3 months ago
Read 2 more answers
Other questions:
  • ¿Qué consecuencias trajo la reducción o eliminación de impuestos y cargas tributarias para el gobierno de Iturbide?
    15·2 answers
  • Translate the phrase by finding the infinitive and conjugating it to match the subject.
    15·2 answers
  • Se busca compañero de apartamento Somos dos estudiantes de la Universidad de las Américas. Necesitamos un compañero de apartamen
    7·1 answer
  • How many children are in the speaker's family?<br> ► 0:11/0:11<br> uno<br> dos<br> tres<br> cuatro
    11·2 answers
  • 02.02 MC)
    5·2 answers
  • Chose the word that best completes this sentence.
    6·2 answers
  • In Peru, how do members of the opposite gender usually greet each other when being introduced or meeting for the first time? hug
    14·2 answers
  • What item is NOT missing from the table? a fork a knife a spoon a cup
    8·1 answer
  • Describe two games that are typical of the gaucho games.
    6·1 answer
  • Yo leo el libro, pero no tengo tiempo para cocinar la comida buena. (1 point)
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!