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3 years ago

-4 1/2 ÷ (-2 2/3) I need it as a mixed number in simplified form.

1 answer:

4 0

(-4 1/2) / (-2 2/3) =.....turn to improper fractions
(- 9/2) / (-8/3) =...when dividing fractions, flip what u r dividing by, then multiply

-9/2 * -3/8 =
27/16 =
1 11/16 <==

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Can somebody please help me with this

Elodia [21]

Number 2. x=5/3 and y=5
number 4. x=7/3 and y=-5
that's all i could answer. and for number 1 x=-3

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3 years ago

What is the slope of the line which passes through (2,5) and (3, 6)?

Varvara68 [4.7K]

Answer:

Step-by-step explanation:

Gradient (slope) = change in y / change in x

(6-5) / (3-2) = 1/1 = 1

The gradient is 1

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3 years ago

which set of steps shows the solution to the equation 2y = −8? y = −8 − 2; y = 6 y = −8 ÷ (−2); y = 4 y = −8 ÷ 2; y = −4 y = −8

xz_007 [3.2K]

Answer: The correct option is

(C) y = −8 ÷ 2; y = −4.

Step-by-step explanation: We are given to select the correct steps that shows the solution to the following equation :

$2y=-8~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We know that

the solution to the equation $ax=b,~~\textup{a,b are real numbers}$ is given by

$ax=b\\\\\Rightarrow x=b\div a.$

Therefore, the solution of equation (i) is as follows :

$2y=-8\\\\\Rightarrow y=-8\div 2\\\\\Rightarrow y=\dfrac{-8}{2}\\\\\Rightarrow y=-4.$

Thus, (C) is the correct option.

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3 years ago

Can someone help me<br> 7 + 2h = 3 + 4h

STALIN [3.7K]

h = 2

$7 + 2h = 3 + 4h$

You must isolate the variable to solve using the order of operations, or PEMDAS.

$4 = 2h$

Subtract 3 from both sides of the equation, and subtract 2h from both sides of the equation.

$\frac{4}{2} = h$

Divide both sides of the equation by 2.

$h = 2$

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3 years ago

Sally is having a problem with her puppy leaving the yard so she decides to build a new fence. The length of the yard is 8 feet

Rufina [12.5K]

Please check the attached file for the diagram of Sally's yard.

Let $w$ be the width of the yard.

Let $l$ be the length.

We are given that the length of the yard is 8 feet more than 4 times the width. Let us convert this into a mathematical equation.

4 times the width will be $4w$ . Now, 8 feet, or 8 more than 4 times the width will be $4w+8$ . We know that this is the value of the length of the yard and thus we can write this as:

$l=4w+8$

As we can see we have found the relationship between the length, $l$ and the width, $w$ of the yard.

We have been told that the total length of the fence required for the yard is 106 feet. This obviously means that the perimeter of the rectangular yard is 106 feet.

Now, we know that the perimeter of a rectangle is given by:

Perimeter= $2(l+w)=2((4w+8)+w)$ this is because we know that the length, $l$ is given by $l=4w+8$ .

Continuing further we get:

$106=8w+16+2w=10w+16$ This is because Perimeter=length of the fence=106 (given)

Therefore, $10w=90$

or, $w=9$ so, we just now found the width of the yard which is 9 feet. We are required to find the length. We can easily find the length using the relationship between $w$ and $l$ which is:

$l=4w+8$ giving us:

$l=4\times9+8=44$

Thus the length of the fence is 44 feet.

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3 years ago