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3 years ago

The sum of two numbers is 3. Five times the larger number plus four times the smaller number is 29. Find the numbers

Mathematics

2 answers:

stira [4]3 years ago

8 0

The no's are
$x + y = 3 \\ 5x + 4y = 29 \\ y = - 14 \\ x = 17$

gulaghasi [49]3 years ago

7 0

Let's have two numbers x (larger) and y (smaller). from the info above...

x + y = 3
5x + 4y = 29

so that means y=3 - x. we can sub this in
5x + 4(3-x) = 29
5x + 12 - 4x = 29
x = 17
then y=3-x=3-17=-14

so it's 17 and -14

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elena55 [62]

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Step-by-step explanation:

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3 years ago

In a New York Times/CBS News Poll, respondents were asked if it should be legal or illegal to send a text message while driving.

AnnZ [28]

Answer: $\dfrac2{201}$

Step-by-step explanation:

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3 years ago

Prove that if one solution for a quadratic equation of theform x2 + bx + c = 0 is rational (where b and c are rational),then the

Elenna [48]

Answer:

The other solution of the given equation x² + bx + c = 0 is also rational number.

Step-by-step explanation:

Here, given: ax² + bx + c = 0 is a quadratic equation

Also, one solution (r) of equation is RATIONAL.

To show: The other solution (s) is also RATIONAL

Now, here: as x² + bx + c = 0

Since r and s are the two given solutions, the given equation can be factorized as:

x² + bx + c = (x -r) (x - s)

Simplifying LHS, we get:

(x -r) (x - s) = x x - r (x) - s (x) + (r)(s)

= x² + x(-r - s) + rs

or, x² + bx + c = x² + x(-r - s) + rs

Comparing the related terms, we get:

b = (-r - s)

⇒ b + s = - r

or, s = -r - b

Now, given : r = Rational and the negative of a rational is also rational.

⇒ -r is also rational

Also, difference of two rational number is also rational.

⇒ -r - b is also rational

⇒ s is a RATIONAL NUMBER

Hence, the other solution of the given equation x² + bx + c = 0 is also rational number.

7 0

4 years ago

Based on the information below, choose the correct answers. Note: The monthly loan payment was calculated at 119 payments of $33

Margaret [11]

Answer:

$122.04
36.94%

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a) The amount of concern is ...

(total interest)/(number of payments) = interest/payment

$14,644.95/120 ≈ $122.04 . . . . amount of interest per payment

b) The ratio of concern is ...

(total interest)/(total payments) × 100% = 14,644.95/39,644.95 × 100%

≈ 36.94% . . . . percent of total payments that is interest

6 0

3 years ago