All categories

3 years ago

ON THE SAME STUDY GUIDE! PLEASE HELP

Mathematics

1 answer:

Lera25 [3.4K]3 years ago

3 0

Answer:

x = 4 ; y = 8

Step-by-step explanation:

we can use a system of two equation

x+1 = y-3

y-5 = 2x-5

we can find x in the first equation

x = y -4

we can now substitute x with this value in the second equation

y-5 = 2(y-4)-5

y = 2y-8

y = 8

we can now find x

x = 8-4 = 4

verify

2(4)-5 = 3

8-5 = 3

8-3 = 5

4 + 1 = 5

You might be interested in

The ratio of cassette to compact disc is 10 to 3 and the number of cassettes is 10 less than 5 times the number of compact discs

OlgaM077 [116]

There are 20 cassettes.

Step-by-step explanation:

Given,

Ratio of cassette to compact disc = 10:3

Let,

the number of cassettes = 10x

Number of compact disc = 3x

According to given statement;

the number of cassettes is 10 less than 5 times the number of compact discs.

10x = 5(Number of CD) - 10

$10x=3(5x)-10 \\10x=15x-10\\10=15x-10x\\10=5x\\5x=10$

Dividing both sides by 5

$\frac{5x}{5}=\frac{10}{5}\\x=2$

Number of cassettes= 10x = 10(2) = 20

There are 20 cassettes.

Keywords: variable, ratio

Learn more about variables at:

#LearnwithBrainly

5 0

3 years ago

If a-b=14,ab=8 find a^2+b^2

ycow [4]

Here,

a-b=14

ab=8

we know that,

$\tt{(a-b)^2=a^2+b^2-2ab }$ ⠀

According to the question, 

$\tt{ (14)^2=a^2+b^2-2×8 }$ ⠀

$\tt{196=a^2+b^2-16 }$ ⠀

$\tt{a^2+b^2=196-16 }$ ⠀

$\tt{a^2+b^2=180 }$ ⠀

7 0

3 years ago

Read 2 more answers

Is the work shown below correct? Explain your answer. (11 + 2i ) – (3 – 10i ) = 11 + 2i – 3 – 10i = (11 – 3) + (2i – 10i) = 8 –

Annette [7]

the work shown is not correct. When the distributive property was used, the -10i should have changed to +10i, making the sum 8+12i.

8 0

4 years ago

Read 2 more answers

PLEASE HURRY! Rewrite 1/6 book - 2/3 hour as a unit rate?

ICE Princess25 [194]

Answer:

1/4 books per hour

Step-by-step explanation:

Given:

For hours, part of book is

To find: Unit rate

Unit rate is the part of book completed in one hour.

So, we use unitary method to determine the unit rate.

Unit rate is given as:

On dividing 2 fractions, the division changes to multiplication and the second fraction is reversed. This gives,

Therefore, the unit rate is books per hour

3 0

3 years ago

Matthew and his brother Shawn play pool basketball. Each basket was worth 3 points, Matthews scores 9 points, shawn scores 6 poi

Dovator [93]

Answer:

Step-by-step explanation:9÷3=3 +6÷3=2 for a total of 5 baskets

8 0

4 years ago