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3 years ago

A garden table and a bench cost $1041 combined. The garden table costs $91 more than the bench. What is the cost of the bench?

Mathematics

1 answer:

natka813 [3]3 years ago

4 0

Let's make x the price of the bench.

And the garden table x + 91.

The equation is: x + x + 91 = 1041.

Solve:

2x = 1041-91

x = 950.

The bench costs 950 dollars.

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Write the following inequality in slope-intercept form. 5x-5y>70

SCORPION-xisa [38]

The given inequality 5x - 5y > 70 when written in Slope intercept form is gotten as; y < x + (-14)

<h3>How to write slope intercept form?</h3>

The formula for equation of a line in slope intercept form is given by;

y = mx + c

where;

m is slope

c is y-intercept

We are given the inequality as;

5x - 5y > 70

Thus;

Subtract 5x from both sides to get;

-5y > 70 - 5x

divide both sides by -5 to get

y < x + (-14)

Read more about Slope Intercept Form at; brainly.com/question/1884491

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2 years ago

The sum of a number and 9 is multiplied by -2 and the answer is -8. Find the number

lesantik [10]

The number is -5.
-5 + 9 = 4
4 • -2 = -8

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4 years ago

Help would be great! All I need to know is which one doesn’t belong you don’t need to write why it’s doesn’t belong.

WINSTONCH [101]

Answer:

There are two correct answers for this question depending on how you think of it.

3x or -3

Step-by-step explanation:

3x could be right because the rest of them are negative. But also on the other case -3 because the rest have x's and this one doesn't

Hope this helps :)

If im too late im so sorry...

Have a nice day!

3 0

3 years ago

On a coordinate plane, parallelogram H I J K is shown. Point H is at (negative 2, 2), point I is at (4, 3), point J is at (4, ne

nasty-shy [4]

HIJK is a parallelogram because the midpoint of both diagonals is

(1 , 0), which means the diagonals bisect each other

Step-by-step explanation:

If (x , y) is the mid-point of a segment whose end points are $(x_{1},y_{1})$ and $(x_{2},y_{2})$ then,

$x=\frac{x_{1}+x_{2}}{2}$

$y=\frac{y_{1}+y_{2}}{2}$

In a parallelogram, its diagonals intersect each other at their mid-points

that means its diagonals bisect each other

∵ HIJK is a quadrilateral

∵ HJ and IK are its diagonals

∵ H = (-2 , 2)

∵ J = (4 , -2)

- Find the mid point of HJ

∵ $M_{HJ}=(\frac{-2+4}{2},\frac{2+-2}{2})$

∴ $M_{HJ}=(\frac{2}{2},\frac{0}{2})$

∴ $M_{HJ}=(1,0)$

∴ The mid-point of HJ is (1 , 0)

∵ I = (4 , 3)

∵ K = (-2 , -3)

- Find the mid point of IK

∵ $M_{IK}=(\frac{4+-2}{2},\frac{3+-3}{2})$

∴ $M_{IK}=(\frac{2}{2},\frac{0}{2})$

∴ $M_{IK}=(1,0)$

∴ The mid-point of IK is (1 , 0)

∵ The mid-points of HJ and IK are equal

∴ HJ and IK bisects each other

∴ HIJK is a parallelogram because its diagonals bisect each other

HIJK is a parallelogram because the midpoint of both diagonals is

(1 , 0), which means the diagonals bisect each other

Learn more:

You can learn more about parallelogram in brainly.com/question/6779145

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NISA [10]

Answer:

Step-by-step explanation:

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3 years ago