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2 years ago

PLEASE HELP IM SUPER CONFUSED!! WILL CROWN BRAINLIEST

Mathematics

1 answer:

r-ruslan [8.4K]2 years ago

8 0

Start with the given expression:
$\frac{4x+6y}{2y}=8$

We want $y$ so lets isolate it. Start by multiplying both sides by $2y$ :
$4x+6y=16y$

And then group similar terms:
$4x=10y$

Now we can substitute our know value of $x=5$ :
$4(5)=10y$

And then solve for $y$ :
$4(5)=10y$
$20=10y$
$\frac{20}{10}=y$
$y=2$

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Noah has a total of 47 video games. He only buys action and sports games. He has 21 more action games than sport games. How many

Zanzabum

A-action games
s-sports games

a+s=47
a=s+21

I replace the action games in the first equation

s+21+s=47
2s+21=47
2s=47 - 21
2s=26
s=26:2
s=13 number of sport games
a=13+21
a=34 number of action games

8 0

2 years ago

For the following exercises, solve each inequality and write the solution in interval notation.

WARRIOR [948]

Answer:

The solution to the inequality |x-2|>10 in interval notation is given by -8<x<12

Step-by-step explanation:

An absolute value inequality |x-2|>10 is given.

It is required to solve the inequality and write the solution in interval form.

To write the solution, first solve the given absolute value inequality algebraically and then write it in interval notation.

Step 1 of 2

The given absolute value inequality is $|x-2|>10$.

The inequality can be written as

x-2<10 and x-2>-10

First solve the inequality, x-2<10.

Add 2 on both sides,

x-2<10

x-2+2<10+2

x<12

Step 2 of 2

Solve the inequality x-2>-10.

Add 2 on both sides,

x-2>-10

x-2+2>-10+2

x>-8

The solution of the inequality in interval notation is given by -8<x<12.

7 0

1 year ago

A family buys a studio apartment for $240,000. They pay a down payment of $60,000.

stealth61 [152]

Answer:

Part A: 25%
Part B: 40%

Step-by-step explanation:

Given the following questions:

$240000 for a studio apartment
$60000 as a down payment.

In order to find the answer, we use the formula to calculate the percentage for the total cost of the studio apartment and the down payment.

<u>Part A:</u>
$\frac{c\times n}{100}$
$\frac{25\times240000}{100} =25\times240000=60000$
$=60000$

<u>Part B:</u>
$\frac{c\times n}{100}$
$\frac{40\times240000}{100} =40\times240000=9600000\div100=96000$
$=96000$

The percent of a down payment of $60,000 for a $240,000 studio apartment is "25%." While the percent of a $96,000 dollar down payment for a $240,000 studio apartment is "40%."

Hope this helps.

8 0

2 years ago

A student was asked to add the fractions below. 33 + 1 For their first step the student wrote the problem as 9/24 + 10/24

Tomtit [17]

Answer:

see below

Step-by-step explanation:

a)The least common multiple of 8 and 12 is 24

3*8 =24

2*12 = 24

3/8 * 3/3 =9/24

5/12 * 2/2 = 10/24

9/24 + 10/24 =19/24

7 0

2 years ago

Bob the builder is making 480kg of concrete mix

vichka [17]

To answer this item, we are first to determine the common factor between the amounts of the cement, sand, and gravel.

If we let x be this factor, the amount of the cement would be x. Similarly, the amount of sand is 3x, and lastly the amount of gravel is 4x. Then, we establish the equation that would let us relate the amounts.

x + 3x + 4x = 480

Simplifying,

8x = 480

x = 60

Hence, the amount of cement is 60 kg, that of sand is 180 kg. Lastly, the amount of gravel is 240 kg.

5 0

2 years ago