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2 years ago

A number is multiplied by 8, and that product is added to 2. The sum is equal to the product of 2 and 25. Find the number.

Mathematics

1 answer:

LenKa [72]2 years ago

6 0

Answer: the number = 6

Step-by-step explanation:

<u>Let x be the number.</u>

<u>Set equation according to the information given</u>

2 + 8x = 2 × 25

<u>Simplify by multiplication</u>

2 + 8x = 50

<u>Subtract 2 on both sides</u>

2 + 8x - 2 = 50 - 2

8x = 48

<u>Divide 8 on both sides</u>

8x / 8 = 48 / 8

$\boxed {x=6}$

Hope this helps!! :)

Please let me know if you have any questions

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Identify the amount, base, and percent in the problem: What is 60% of 485?

IrinaK [193]

Hey there! I'm happy to help!

The percent in the problem is 60% (as it has a percent time).

The base is the number we start with, so it is 485.

The amount is the percent of the base. As a decimal, 60% is 0.6. So, we just multiply this by 485.

0.6×485=291

Therefore, the amount is 291.

AMOUNT: 291

BASE: 485

PERCENT: 60%

Have a wonderful day! :D

3 0

3 years ago

Help Q-Q 7/10c =4 1/5

shepuryov [24]

$\huge\mathfrak\green{answer}$

$= q - \frac{q7}{10} c = \frac{41}{5}$

$\red{multiply}$

$= q - \frac{cq7}{10} = \frac{41}{5}$

$\red{subtract \: q \: from \: both \: sides}$

$= q - \frac{cq7}{10} - q = \frac{41}{5} - q$

$\red{now \: simplify}$

$= - \frac{cq7}{10} = \frac{41}{5} - q$

$\red{multiply \: 10 \: both \: sides}$

$= 10( - \frac{cq7}{10} ) = 10. \frac{41}{5} - 10q$

$\red{simplify}$

$= - cq7 = 82 - 10q$

$\red{now \: divide}$

$= \frac{ - cq7}{ - q7} - \frac{82}{ - q7} - \frac{10q}{ - q7}$

$\red{simplify}$

$= c = - \frac{82 - 10q}{q7} (q≠0)$

Brainliest? :) (I'd really appreciate if you mark me as brainliest)

$\huge\mathfrak\green{thank \: you}$

5 0

3 years ago

Read 2 more answers

Find the 75th term of the arithmetic sequence -1, 15, 31, ...−1,15,31,...

Readme [11.4K]

Answer:

1183

Step-by-step explanation:

Common difference:

d = 31 - 15 = 16

nth term:

$a_n = a_1 + (n - 1)d$

Here, $a_1 = -1$

$a_{75} = -1 + (75 - 1)(16)$

$a_{75} = 1183$

3 0

2 years ago

You have decided to purchase a car for $19,000. The credit union requires a 10% down payment and will finance the balance with a

Lady_Fox [76]

<h2>○=> <u>Correct option</u> :</h2>

$\color{plum} \bold{ \tt \: \bold{C. \$20,652.00}}$

<h3>○=> <u>Steps to derive correct option</u> :</h3>

Selling price of a car = $19,000

Percentage of sales tax in the city = 8.3%

Sales tax :

$= \tt \frac{8.3}{10 \times 100} \times 1900$

$= \tt \frac{8.3 \times 19000}{1000}$

$= \tt \frac{1577000}{1000}$

$\color{plum} = \tt \$1577$

Thus, the sales tax on the car = $1577

Cost of license and title = $75

Total price of car :

= Cost price of car + Sales tax + cost of license/title

$= \tt19000 + 1577 + 75$

$\color{plum} = \tt \$20652$

Thus, the total purchase price of the car = $20,652.00

Therefore, the correct option is <em>(C) $20,652.00</em>

6 0

2 years ago

a rectangle shape whose length is 4 inches less than twice its width. the area is 30 square inches. whats the dimension

Ne4ueva [31]

Using the given information, we can say the following:
Width (W) = x
Length (L) = (2x - 4)
Area of Rectangle = L × W
Using this, we can formulate an equation for rectangle in question:
x(2x - 4) = 30
Expand and move everything to one side:
2x² - 4x - 30 = 0
Simplify by dividing everything on both sides by 2:
x² - 2x - 15 = 0
Factorise:
(x + 5)(x - 3) = 0
Set each factor equal to 0 and solve for x:
x + 5 = 0
x = -5 (a dimension cannot be negative so this is not the solution we want)
x - 3 = 0
x = 3 (this is the solution)
x = W = 3"
L = 2x - 4
L = 2(3) - 4
L = 2"

So, the length the rectangle is 2" and the width is 3"

5 0

3 years ago