All categories

3 years ago

The product of 2 more than a number and 10 is 36 more than 8 times the number. What is the number?

Mathematics

1 answer:

kati45 [8]3 years ago

8 0

Here's my step-by-step explanation:

Whenever you see the phrase "a number" in a problem like this, then they want you to use a variable. Let's use n for number and translate from English to Algebraic.

- The product of 2 more than a number and 10 is 36 more than 8 times the number.

- The product of 2 more than n and 10 is 36 more than 8 times n.

- The product of 2 + n and 10 is 36 + 8n.

- (2 + n)(10) is 36 + 8n.

- (2 + n)(10) = 36 + 8n

Let's solve.

(2 + n)(10) = 36 + 8n

20 + 10n = 36 + 8n

10n - 8n = 36 - 20

2n = 16

n = 8

Hope this helps, let me know if I made a mistake or if you have any questions!

You might be interested in

Help? a) 2/10 + 8/100 b) 13/100 + 4/10 c) 6/10 + 39/100 D) 70/100 + 3/10

Leni [432]

$\green{––––––––––––––––––––––––––––––}$

$\huge\red{\boxed{\tt{{«ANSWER»}}}}$

A) 2/10 + 8/100 = 0.28
B) 13/100 + 4/10 = 0.53
C) 6/10 + 39/100 = 0.99
D) 70/100 + 3/10 = 1

 $\green{––––––––––––––––––––––––––––––}$ 

#carry on learning <3

5 0

2 years ago

Create an equation that matches this table

Radda [10]

The equation that matches the given table is

y = 10x + 40

Solution:

General equation of a line : y = mx + c

Let us find the equation of the table.

Common differences of X:

0 – 1 = 1, 1 – 2 = 1, 3 – 2 = 1, 4 – 3 = 1, 5 – 4 = 1

Common differences of Y:

50 – 40 = 10, 60 – 50 = 10, 70 – 60 = 10, 80 – 70 = 10, 90 – 80 = 10

$$m=\frac{\Delta y}{\Delta x}$

$$m=\frac{10}{1}$

m = 10

Substitute m = 10 in general equation of a line

y = 10x + c

To find the constant term, substitute x = 0 and y = 40.

40 = 10(0) + c

40 = 0 + c

40 = c

c = 40

Therefore the equation of a line is y = 10x + 40.

Hence the equation that matches the given table is y = 10x + 40.

6 0

2 years ago

Will put you the brainiest if answered first!!!!

Nastasia [14]

Answer:

i don't now sslslslslsl

Step-by-step explanation:

b gvff f f fhevfhevfb efbehjfbej fef ehfbekfj

4 0

3 years ago

How do I make the equation in slope intercept form for No. 4?

dezoksy [38]

Since the slope and the y-intercept for the equation of y = mx + b doesn't exist, you don't need to include it.

y = mx + b

Without the m and b, which are the slope and y-intercept, you are left with x.

Then, you need to figure out whether the line is horizontal, or vertical.

If the line is vertical, you keep the x, and find out the value x is on for every point of y.

If the line is horizontal, you keep the y, and find out the value y is on for every point of x.

Since the line is vertical, we can use x = ?

The line is always at x=2, no matter what the y-value is, so the final equation would be x=2.

I hope this helped you! :)

7 0

2 years ago

Read 2 more answers

What is the slope of a line that is parallel to –x + 3y = 6 Responses 1/3 StartFragment, 1/3, -1 StartFragment, -1, 3 StartFragm

algol13

The slope of the line parallel to the line –x + 3y = 6 is a 1/3 option (A) 1/3 is correct.

<h3>What is the slope?</h3>

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

$\rm m =\dfrac{y_2-y_1}{x_2-x_1}$

It is given that:

The equation of the line:

–x + 3y = 6

Write the equation in standard form:

y = x/3 + 6/3

y = x/3 + 2

m = 1/3

The slope of the line parallel to the line –x + 3y = 6

M = 1/3

Thus, the slope of the line parallel to the line –x + 3y = 6 is a 1/3 option (A) 1/3 is correct.

Learn more about the slope here:

brainly.com/question/3605446

#SPJ1

5 0

10 months ago