All categories

3 years ago

Simplify >>>>>>> 2(4x+9)

Mathematics

1 answer:

Black_prince [1.1K]3 years ago

8 0

2(4x+9)

mutiply the bracket by 2

(2)(4x)= 8x

(2)(9)= 18

Answer: 8x+18

You might be interested in

7(1-2x)=-x+33<br>solve with every step

Gelneren [198K]

7(1 - 2x) = -x + 33

Distribute 7 inside the parentheses.

7 - 14x = -x + 33

Subtract 7 from both sides.

-14x = -x + 26

Add x to both sides.

-13x = 26

Divide both sides by -13.

x = -2

6 0

3 years ago

Read 2 more answers

what is the final amount if 2024 is increased by 17% followed by a 15% decrease give your answer rounded to DP.

Leno4ka [110]

2024 + 0.17(2024) = 2368.08

2368.08 - 0.15(2368.08) = 2012.868

The final amount is 2012.868.

Hope this helps!! :)

7 0

3 years ago

Read 2 more answers

A jar of quarters and dimes has total value of $20.70. The jar has 10 more quarters than dimes. To find the numbers of quarters

lakkis [162]

There are 62 quarters and 52 dimes in the jar.

Step-by-step explanation:

Given,

Worth of jar coins = $20.70 = 20.70*100 = 2070 cents

1 Quarter = 25 cents

1 Dime = 10 cents

Let,

Number of quarters = x

Number of dimes = y

According to given statement;

25x+10y=2070 Eqn 1

x=y+10 Eqn 2

Putting value of x from Eqn 2 in Eqn 1

$25(y+10)+10y=2070\\25y+250+10y=2070\\35y=2070-250\\35y=1820\\$

Dividing both sides by 35

$\frac{35y}{35}=\frac{1820}{35}\\y=52$

Putting y=52 in Eqn 2

$x=52+10\\x=62$

There are 62 quarters and 52 dimes in the jar.

Keywords: linear equation, substitution method

Learn more about linear equations at:

#LearnwithBrainly

8 0

3 years ago

11. The length of a rectangle is three times its width. The perimeter of the

Elenna [48]

Answer: The length of the rectangle is 37.5 inches and the width is 12.5 inches

Step-by-step explanation: The dimensions of the rectangle is not given but we have clues given. The length is given as three times it’s width which means if the width is W, then the length would be given as 3W (three times the width). Also the perimeter is given as 100 inches and the formula for the perimeter is;

Perimeter = 2(L + W)

We can now insert the known values as follows;

100 = 2(3W + W)

100 = 2(4W)

100 = 8W

Divide both sides of the equation by 8

12.5 = W

Having calculated the width as 12.5 inches, the length now becomes

L = 3W

L = 3 x 12.5

L = 37.5

Hence the length is 37.5 inches and the width is 12.5 inches

8 0

3 years ago

Solve sec2theta + tantheta - 3 =0 for 0

Serhud [2]

Answer:

Ф = $\frac{\pi }{4} ,\frac{5\pi}{4}$

Step-by-step explanation:

It is a bit difficult to input the work here, so I uploaded an image

First we can use the trig identities to change sec²(Ф) to tan²(Ф) + 1
Then we can combine like terms
Then we can factor this as a polynomial function
Then we can set each term equal to zero and solve for Ф
The first term tan(Ф) - 2 = 0 has no solution because tan(Ф) ≠ -2 anywhere
The second term tan(Ф) - 1 = 0 has two solutions of $\frac{\pi}{4}$ and $\frac{5\pi}{4}$ so these are the solutions to the problem

7 0

3 years ago