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3 years ago

-2(4x – 3) = 10 Can someone help me with this math problem please

Mathematics

1 answer:

german3 years ago

7 0

Answer:

-1/2

Step-by-step explanation:

-2(4x - 3) = 10

First distribute the -2 to 4x and -3; it turns into

-8x + 6 = 10

The subtract 6 on both sides which equals

-8x = 4

Then divide -8 on both sides...

x = -4/8 or -1/2

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Describe a<br> situation that can be represented by the<br> algebraic expression 6b+w.

podryga [215]

Clare has berries (b). Rasheed has 6 times more berries that Clare has, and Rasheed also has _ amount of watermelons. How much fruits does Rasheed have in all?

4 0

3 years ago

If $396 is invested at an interest rate of 13% per year and is compound continuously, how much will the investment be worth in 3

Sveta_85 [38]

Answer:

The investment at the end of the period will be $584.89.

Step-by-step explanation:

FV = PV e⁽ⁿˣ⁾

FV = Future Value = ?

PV = Present Value = $396

n = Interest Rate = 13%

x = time in years = 3

e = mathematical constant = 2.7183

FV = 396 x 2.7183⁽⁰°¹³ ˣ ³⁾

FV = 396 x 1.4770

FV = $584.89

7 0

3 years ago

1.Each side of a square has a length of 5x. Use your area expression to find the area of the square when x = 2.2 centimeters. Sh

NARA [144]

1. The area is l * w, so just multiply 5x by 5x. Replacing x with 2.2 gets:
(5 * 2.2) * (5 * 2.2)

11 * 11
= 121

So, the area of the square when x = 2.2 centimeters is 121 sq cm.

2. The expression for this equation would be:
6(y + 4)

And using the distributive property on this to get the simplified expression, just multiply both y and 4 by 6.

6 * y + 6 * 4
6y + 24
So, your expression is 6y + 24.

3. For this one, let's make y's value 3.5 instead of 3 1/2 to make it easier to solve.

We just use the above expression to solve.
6 * 3.5 + 6 * 4
21 + 24
= 45

So, the area of the rectangle when y = 3 1/2 is 45 sq in.

4. For this last one, let's use the formula w = A/l to form an expression that will represent the width.

w = 8w + 18/2

Now, let's simplify it by dividing 8w and 18 by 2.
w = 8w/2 + 18/2

w = 4w + 9

So the expression to represent the width of the rectangle is 4w + 9.
Hope this helped!

4 0

3 years ago

1. What is the value of 668 + 575 + 453, rounded to

Vilka [71]

Answer:

E. 1,700 is your answer.

Step-by-step explanation:

What you do is you add 668 + 575 + 453 together.

668 + 575 + 453 = 1,696.

The hundreds place is the 9. Since the 9 is bigger than 4 it gets rounded up. That means the 6 in front of the 9 becomes a 7 and 9 and 6 become a zero.

E. 1,700 is your answer.

4 0

3 years ago

A random sample of 77 fields of durum wheat has a mean yield of 27.427.4 bushels per acre and standard deviation of 5.755.75 bus

xz_007 [3.2K]

Answer:

[ 21.79, 33.0 ]

Step-by-step explanation:

Given:

Sample size, n = 7

Sample mean, μ = 27.4

Standard deviation, σ = 5.75

Confidence level is 99%

also, population is normal i.e normally distributed

Thus,

Confidence interval = μ ± $z\frac{\sigma}{\sqrt n}$

For confidence level of 99%

z-value = 2.58

Therefore,

Lower limit of Confidence interval = μ - $2.58\times\frac{5.75}{\sqrt{7}}$

Lower limit of Confidence interval = 27.4 - $2.58\times\frac{5.75}{\sqrt{7}}$

Lower limit of Confidence interval = 21.79

Upper limit of Confidence interval = μ + $2.58\times\frac{5.75}{\sqrt{7}}$

Upper limit of Confidence interval = 27.4 + $2.58\times\frac{5.75}{\sqrt{7}}$

Upper limit of Confidence interval = 33.00

Hence, confidence interval = [ 21.79, 33.0 ]

5 0

3 years ago