Mairé is thinking of two numbers. The first number is 14 less than the second number. When she adds them, she gets 40. Help her younger sister, Enya, figure out the numbers.

Answers

Answer 1

Answer:

Using equations, the two numbers are 27 and 13, with the first number being 14 less than the second number, and their sum is 40.

How to use equations to find the two numbers?

Let's represent the two numbers as x (the second number) and y (the first number).

According to the given information:

The first number is 14 less than the second number: y = x - 14

When she adds them, she gets 40: x + y = 40

Now, we can use these two equations to find the values of x and y.

Substitute the value of y from the first equation into the second equation:

x + (x - 14) = 40

Now, solve for x:

2x - 14 = 40

2x = 54

x = 27

Now that we have the value of x, we can find y using the first equation:

y = x - 14

y = 27 - 14

y = 13

So, the two numbers are 27 and 13.

Learn more about equations on:

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Answer 2

Answer:

Answer:

34 and 6 =40

Step-by-step explanation:

40 divided by 2=20 20-14=6 14+20=34

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The area of a trapezoid is 322m2 one base is 12m and the height 14m what is the measure of the other base

Answers

Answer:

b = 34m

Step-by-step explanation:

Answer:

Depends on which base you mean, the longer base would be b=41.67

The shorter base would be a=39.67

Hope this helps :)

Suggest the best imperial unit to measure: 1. The distance from London to New York
2. The amount of water in a jug
3. The weight of a pencil
4. The height of a man

Answers

1.miles
2.slug
3.ounces
4.foot or inches

What is the simplified base for the function f(x) = 2(3√27(2x)?2
3
9
18

Answers

Answer:

option C is correct i.e. 9

Step-by-step explanation:

We have given that : $f(x)=2 \sqrt[3]{27^(2x)}$

To find : The simplified base of the function f(x)

Solution:

Now, we solve the equation

$f(x)=2 \sqrt[3]{27^(2x)}$

$f(x)=2(27^x)^{(2)/(3)}$

$f(x)=2(3^(2x))$

$f(x)=2((3^2)^(x))$

$f(x)=2(9^(x))$

Therefore, the simplified base of the function f(x) is 9

Answer:

Option C is correct

9 the simplified base for the given function f(x)

Step-by-step explanation:

Using exponent rules:

$(x^m)^n = x^(mn)$

$\sqrt[n]{x^b} = x^{(b)/(n)}$

Given the function:

$f(x) = 2\sqrt[3]{27^(2x)}$

We can write 27 as:

$27 = 3 \cdot 3 \cdot 3 = 3^3$

then;

$f(x) = 2\sqrt[3]{(3^3)^(2x)}$

Apply the exponent rules:

$f(x) = 2\sqrt[3]{3^(6x)}$

Apply the exponent rules:

$f(x) =2 \cdot (3^(6x))^{(1)/(3)} = 2 \cdot 3^(2x)$

⇒ $f(x) = 2 \cdot (3^2)^x = 2 \cdot 9^x$

⇒ $f(x) =2 \cdot 9^x$

On comparing with exponential function $f(x) = ab^x$ where, b is base of the exponent function, then

b = 9

Therefore, the simplified base for the given function is, 9

What is the slope between two points 12,6 and 20,22

Answers

The slope of a line between 2 points is given by the formula

m = y2 - y1/x2 - x1

m= 22-6/20-12

m= 16/8= 2

slope is 2

slope is 2 hoe it helped

Calculate the slope between the points (2,1) and (-3,4).

Answers

Answer:

To calculate the slope (m) between two points (x₁, y₁) and (x₂, y₂), you can use the formula:

\[ m = \frac{y₂ - y₁}{x₂ - x₁} \]

For the points (2,1) and (-3,4):

\[ m = \frac{4 - 1}{-3 - 2} = \frac{3}{-5} \]

Simplifying the fraction, the slope is:

\[ m = -\frac{3}{5} \]

Bety compró 16 pares de calcetas, entre blancas y negras, y pagó $339. Los pares de calcetas blancas cuestan $24 y las negras $19. Plantea el sistema de ecuaciones y resuelve por el método que creas conveniente. Después toma foto y súbela en donde se indica.

Answers

Answer:

Sistema de ecuaciones:

x+y= 16

24x+19y=339

Respuesta:

x=7, y=9

Step-by-step explanation:

Con la información del enunciado puedes plantear las siguientes ecuaciones:

x= cantidad de calcetas blancas

y= cantidad de calcetas negras

x+y= 16 (1)

24x+19y=339 (2)

Para resolver las ecuaciones, debes iniciar despejando x en 1:

y=16-x (3)

Después, debes reemplazar (3) en (2) y despejar x para encontrar su valor:

24x+19(16-x)=339

24x+304-19x=339

5x=339-304

x=35/5

x=7

Luego, puedes reemplazar el valor de x en (3) para encontrar y:

y=16-x

y=16-7

y=9

De acuerdo a esto, x= 7, y=9.

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