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3 years ago

The difference between two numbers is 40. Twice the first number plus three times the second number

Mathematics

1 answer:

Tpy6a [65]3 years ago

6 0

Answer:

x = 44 and y = 4

Step-by-step explanation:

Given:

x - y = 40

2x + 3y = 100

Isolate for x in the first equation:

x = 40 + y

Sub x = 40 + y into the second equation and solve for y:

2(40 + y) + 3y = 100

80 + 2y + 3y = 100

5y = 20

y = 4

Sub y = 4 into the equation for x:

x = 40 + 4

x = 44

Therefore, x = 44 and y = 4

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3 years ago

Two angles are vertical angles. One angle is ( 8x + 15 ) and the other angle is 143. Solve for x.

sineoko [7]

Answer:

x = 16

Step-by-step explanation:

Verticle angles are always congruent, so:

(8x + 15) = 143

Now, we can solve to isolate x:

8x + 15 - 15 = 143 - 15 (subtract 15 from both sides)

8x/8 = 128/8 (divide both sides by 8)

x = 16

You can always plug in the value of x to the original equation to check your answer:

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3 years ago

Which of the following is a root of the polynomial shown below?

Mademuasel [1]

Answer:

We conclude that option A is true as x = 1 is the root of the polynomial.

Step-by-step explanation:

Given the polynomial

$f\left(x\right)\:=\:x^2\:+\:2x^2\:-\:x-2$

Let us determine the root of the polynomial shown below.

$\:0=\:x^2\:+\:2x^2\:-\:x-2$

$0=3x^2-x-2$

switch sides

$3x^2-x-2=0$

$3x^2-x-2=\left(3x+2\right)\left(x-1\right)$

so the equation becomes

$\left(3x+2\right)\left(x-1\right)=0$

Using the zero factor principle

$3x+2=0\quad \mathrm{or}\quad \:x-1=0$

solving

$3x+2=0$

$3x=-2$

$\frac{3x}{3}=\frac{-2}{3}$

$x=-\frac{2}{3}$

and

$x-1=0$

$x=1$

The possible roots of the polynomial will be:

$x=-\frac{2}{3},\:x=1$

Therefore, from the mentioned options, we conclude that option A is true as x = 1 is the root of the polynomial.

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3 years ago

A Clothing shop sold 140 Jackets an d 60 rain coats during the winter sale . Find the ratio of the number of raincoats sold to t

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Answer:

3:7

Step-by-step explanation:

60 ratio 140

Divide both sides by 10

6 ratio 14

Divide both sides by 2

3 ratio 7

3:7 ✔️

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2 years ago

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