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Mademuasel [1]
3 years ago
12

Which is the solution to the system of equations?2x+y=7 and 3x−4y=5

Mathematics
2 answers:
Veronika [31]3 years ago
7 0

Answer:

X = 3, Y = 1.

Step-by-step explanation:

X = 3 and Y = 1, because 2 times 3 equals 6, and 6 plus 1 equals 7. So that's for the first one, but now we need to make sure that it's the same value for the other equation. 3 times 3 equals 9, 4 times 1 equals 4, and 9 minus 4 equals 5. So X = 3, and Y =  1. Hope this helped :D

uysha [10]3 years ago
3 0

Answer: these are cordnets

Step-by-step explanation:

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On six books shelves there are 72 books per shelf.How many books are there altogether? If 1/3 of these are non-fiction how many
8090 [49]
<h2>Answer:</h2><h3>Part 1:</h3>

Given:

Total shelves: 6

Books per shelve: 72

Total books = ?

Solution:

Total books: 6 * 72 = 432

                                                           Total books = 432

<h3>Part 2:</h3>

Given:

Fiction books = 1/3 of total books

Solution:

Nonfiction books = Total books - 1/3 of total books

                              =   432 - 1/3 * 432

                               = 432 - 166 = 266

                                           Non- fiction books = 266

6 0
3 years ago
Lily goes car shopping and finds two cars. The first one burns fossil fuel, gasoline, that sells for $18,000. It will cost $100
Anna007 [38]

Answer:

Cost to buy and run the first car for 5 years=$24000

Cost to buy and run the second car for 5 years=$26000

I think we should buy the first car, because It is cheaper to buy and maintain

Step-by-step explanation:

first car:

Cost $18000 to buy

Cost $100 to maintain each month

5years =5 x 12=60months

Cost to maintain for 60months=100x60=$6000

First car cost to buy and run over the 5 year period=18000+6000=$24000

Second car:

It cost $22400 to buy

Cost $60 to maintain each month

5years=60months

Cost to maintain for 60months is 60 x 60=$3600

Cost to buy and run over the second car for 5years is 22400+3600=$26000

4 0
4 years ago
-90 = -100 + x what value of X makes that equation true
sergij07 [2.7K]

Answer:

it would be 10

Step-by-step explanation:

-100+10=-90

7 0
3 years ago
Read 2 more answers
Are the triangles similar? If so, state the similarity and the postulate or theorem that justifies your answer.
kow [346]

Answer: The triangles are not similar.

Step-by-step explanation:

Two figures are similar simply if they have the same shape, but not necessarily the same size. In a more mathematical sense, similar figures have the same angle measures and proportionate side lengths.

<em>For reference, side lengths are proportionate when the ratios between corresponding/matching sides are the same.</em>

Since we do not have any angles, we will try using the SSS Similarity Theorem, which states that if all three sides of both triangles are in proportion, then the triangles are similar. We will first list all the side lengths and match corresponding ones.

\triangle ABC \rightarrow 18,20,32\\ \triangle UVT \rightarrow 14,15,24

Since we matched corresponding sides, we can now check whether they have the same ratio).

\frac{18}{14}=\frac{20}{15}=\frac{32}{24}

\frac{9}{7}=\frac{4}{3}=\frac{4}{3}

Not all of the side lengths have the same ratio, so these triangles aren't similar. you must multiply 14 by 9/7 to get to 18, but you need to multiply the other two sides by 4/3 to get to their

4 0
2 years ago
On a coordinate plane, point B(–6, 1) is translated to B prime(–3, –2). Indira uses these steps to find a rule to describe the t
nasty-shy [4]

Answer:

Indira should have written the equations Negative 6 + a = negative 3 and 1 + b = negative 2 in Step 2.

Step-by-step explanation:

Point B(-6, 1) to B'(-3, -2)

Steps to achieve B"

-6+a= -3 ⇒ a= -3+6= 3

1+b= -2 ⇒ b= -2-1= -3

-----------------

Step 1 Substitute the original coordinates and the translated coordinates into (x, y) right-arrow (x + a, y + b): B (negative 6, 1) right-arrow B prime (negative 6 + a, 1 + b) = B prime (negative 3, negative 2)

  • Step 2 Write two equations: Negative 6 + a = negative 2. 1 + b = negative 3.
  • wrong step

Step 3 Solve each equation: Negative 6 + a = negative 2. a = negative 2 + 6. a = 4. 1 + b = 3. b = negative 3 minus 1. b = negative 4.

Step 4 Write the translation rule: (x, y) right-arrow (x + 4, y minus 4)

----------------

  • Indira should have written the equations Negative 6 + a = negative 3 and 1 + b = negative 2 in Step 2.

3 0
3 years ago
Read 2 more answers
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