Donna sliced several pizzas to serve at her party. Each slice represents

The sum of two numbers is 49 and the difference between these two numbers is 9. What are these two numbers?Shown working out pl

8_murik_8 [283]

Let numbers be x and y

ATQ

x+y=49---(1)

x-y=9---(2)

Adding both

$\\ \sf\longmapsto 2x=58$

$\\ \sf\longmapsto x=\dfrac{58}{2}$

$\\ \sf\longmapsto x=29$

Now putting value in eq(2)

$\\ \sf\longmapsto x-y=9$

$\\ \sf\longmapsto 29-9=y$

$\\ \sf\longmapsto y=20$

7 0

3 years ago

Find the intercepts for the graph of the equation given.<br>X +7y=0<br>

Citrus2011 [14]

Answer:

They are both (0,0)

The x intercept is when y is equal to zero.

VICE VERSA

x + 7(0) = 0

(0) + 7y = 0

<em>Hope this helps!!!</em>

8 0

3 years ago

GET BRAINLIEST FOR THE CORRECT ANSWER AND EXPLANATION!

Tresset [83]

Interpreting the inequality, it is found that the correct option is given by F.

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The first equation is of the line.
The equal sign is present in the inequality, which means that the line is not dashed, which removes option G.

In standard form, the equation of the line is:

$x + 2y = 6$

$2y = 6 - x$

$y = -0.5x + 2$

Thus it is a decreasing line, which removes options J.

We are interested in the region on the plane below the line, that is, less than the line, which removes option H.

------------------

As for the second equation, the normalized equation is:

$3x^2 + 3y^2 = 12$

$3(x^2 + y^2) = 12$

$x^2 + y^2 = 4$

Thus, a circle centered at the origin and with radius 2.
Now, we have to check if the line $x + 2y - 6 = 0$ , with coefficients $a = 1, b = 2, c = -6$ , intersects the circle, of centre $x = 0, y = 0$
First, we find the following distance:

$d = \sqrt{\frac{|ax + by + c|}{a^2 + b^2}}$

Considering the coefficients of the line and the center of the circle.

$d = \sqrt{\frac{|1(0) + 2(0) - 6|}{1^2 + 2^2}} = \sqrt{\frac{6}{5}} = 1.1$

This distance is less than the radius, thus, the line intersects the circle, which removes option K, and states that the correct option is given by F.

A similar problem is given at brainly.com/question/16505684

3 0

3 years ago

30 POINTS!!!!!!!! JoeNah, DeKobian and Evan wrote equations to calculate the amount of money in a savings account after one year

castortr0y [4]

Answer:

See the explanation for the answer to this question

Step-by-step explanation:

Let

B ---> the balance of money saved.

M ---> the amount invested in dollars

JoeNah's Equation

M=$100

$B=1.5(100)=\$150$

Dekobian's Equation

M=$100

$B=100+0.05(100)=\$105$

Evan's Equation

M=$100

$B=M(1+0.05)$

Substitute

$B=100(1+0.05)=\$105$

Dekobian's equation and Evan's equation are correct! :)

JoeNah's equation is wrong. :(

Hope this helps you!

Have a good evening!

4 0

3 years ago

50 PTS I WILL MARK BRAINLIEST PLS HELP! A book store manager took several random surveys of customers to determine which book ge

aliina [53]

On average one out of 6 customers purchase fantasy books most frequently

6 0

2 years ago