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3 years ago

Two numbers have a sum of 24 and 7 times the first number minus the second number is equal to 16. what is the smaller number

1 answer:

4 0

You want the minimum of the solutions to
x + y = 24
7x - y = 16

There are many ways to solve these equations. Adding them together, you get
8x = 40
x = 5

Since this value is less than 12, it is the smaller number. The smaller number is 5.

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Each week, Christian earns $x fixing bicycles and receives $10 as his allowance. To find how much he will earn in total over 2 w

pashok25 [27]

The answer is B.
If he earns $x in one week, then you need 2x to calcualte 2 weeks, add that with his allowance and there you have it.

8 0

3 years ago

Read 2 more answers

Perform the indicated operation and simplify the result.

Finger [1]

Answer:

7/ (3a-1)

Step-by-step explanation:

3a^2 -13a +4 28+7a

------------------ * --------------------

9a^2 -6a+1 a^2 -16

Factor

(3a-1)(a-4) 7(4+a)

------------------ * --------------------

(3a-1) (3a-1) (a-4)(a+4)

Cancel like terms

1 7

------------------ * --------------------

(3a-1) 1

Leaving

7/ (3a-1)

3 0

3 years ago

Lannister checks out 6 set of books from the library each set has the same number of books she reads 7 of the books and she has

fgiga [73]

Answer:

Step-by-step explanation:

Lannister checks out 6 sets of book

Each set had the same number of books

She reads 7 books and has 11 more to go

Therefore the number of books in each set can be calculated as follows

= 11+7

= 18

18/6

= 3

Hence there are 3 books in each set

6 0

3 years ago

A triangle has side lengths of 15 10 and 7 is it a right triangle

lions [1.4K]

Answer:

No, it is not a right triangle.

Step-by-step explanation:

Given:

The sides of the triangle = 15 10 and 7

To Find:

Whether the triangle is a right triangle = ?

Solution:

According to Pythagorean theorem , In an right triangle the the sum of the squares of the two smaller sides must equal to the square of the larger side

$a^2 +b^2 =c^2\\$

where

a and b are the smaller sides

c is the larger side

Now from the given data, lets assume

a = 10 and b =7 and c =15

Substituting in the above equation we get,

$(10)^2 +(7)^2 = (15)^2$

100 + 49 = 225

149 = 225

$149 \neq 225$

So, the given triangle is not a right triangle.

7 0

3 years ago

Jane, Scott, and Frank have a total of $144 in their wallets. Frank has 4 times what Jane has. Scott has $6 less than Jane. How

konstantin123 [22]

Answer:

Jane have $25

Frank have $100

Scott have $19

Step-by-step explanation:

To find the amount that each have, we have to represent this information in a mathematical format and then solve

let x represent represent the amount that Jane has

let Y represent represent the amount that Frank has

let z represent represent the amount that Scott has

From the question given, "Jane, Scott, and Frank have a total of $144" can be represented mathematically as

x + y + z = $144 ---------------------------------------------------------------------------------(1)

"Frank has 4 times what Jane has" can be represented mathematically as

y = 4x ---------------------------------------------------------------------------------------------(2)

"Scott has $6 less than Jane" can be represented mathematically as

z= x- 6 ----------------------------------------------------------------------------------------------(3)

we can now solve the equations using the substitution method

substitute equation (2) and (3) into equation (1)

x + y + z = $144

x + 4x + x-6 = $144

6x -6 = $144

add 6 to both-side of the equation

6x - 6 + 6 = $144 + 6

6x =$150

Divide both-side of the equation by 6

6x/6 = 150/6

x = $25

from equation 2

y = 4x

substitute x= $25 in equation (2)

y = 4 (25)

y = $100

substitute x=$25 in equation (3)

z = x- 6

z = 25 - 6

z=$19

Jane have $25

Frank have $100

Scott have $19

6 0

2 years ago