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2 years ago

What is the value if a in the equation below 3 1/4a-12-3a-15

Mathematics

1 answer:

liq [111]2 years ago

4 0

Answer:

a = -12

(a equals negative twelve)

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I'm having trouble with this<br><br> -9x + 4y = 55<br> -11x + 7y = 82

lubasha [3.4K]

Answer:

Step-by-step explanation:

99x - 44y = -605

-99x + 63y = 738

19y = 133

y = 7

-9x + 28 = 55

-9x = 27

x = -3

(-3, 7)

7 0

3 years ago

Read 2 more answers

Vince has a rectangular rug in his room with an area of 10 ft the length of the rug is 18 inches longer than the width what coul

aev [14]

The length of the rug is 4 ft.

The width of the rug is 2.5 ft.

Explanation:

The area of the rug is 10 ft.

The length of the rug be l.

Let us convert the inches to feet.

Thus, $18 inches = 1.5 ft$

Thus, the length of the rug is $l=1.5+w$

Let the width of the rug be w.

Substituting these values in the formula of area of the rectangle, we get,

$A=length\times width$

$10=(1.5+w)(w)\\10=1.5w+w^2\\w^2+1.5w-10=0$

Solving the expression using the quadratic formula,

$w=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Substituting the values, we have,

$$w=\frac{-15 \pm \sqrt{15^{2}-4 \cdot 10(-100)}}{2 \cdot 10}\\$

$w=\frac{-15 \pm \sqrt{4225}}{20}$

$w=\frac{-15 \pm 65}{2 0}$

Thus,

$w=\frac{-15 + 65}{2 0}\\w=\frac{50}{20} \\w=2.5$ and $w=\frac{-15 - 65}{2 0}\\w=\frac{-80}{20} \\w=-4$

Since, the value of w cannot be negative, the value of w is 2.5ft

Thus, the width of the rug is 2.5ft

Substituting $w=2.5$ in $l=1.5+w$ , we get,

$l=1.5+2.5\\l=4$

Thus, the length of the rug is 4 ft.

4 0

2 years ago

Given that circumference of a circle is 44m. Calculate it's area

dimaraw [331]

Answer:

Area=154.062 $m^{2}$

Step-by-step explanation:

As Circumference of a circle is given by;

$C=2\times \pi\times r$

As the circumference is 44m so we can calculate the value of r by using the above formula.

$44=2\times \pi \times r\\\\\frac{44}{2\pi} =r\\\\\implies r=\frac{22}{\pi} =7.003 m$

Now to Calculate the Area of a Circle.

As the area of a circle is,

$Area =\pi \times r^{2}\\ Area=\pi \times (7.003)^{2} \\Area=\pi \times 49.039\\Area=154.062m^{2}$

3 0

1 year ago

What is the value of x in the equation 2x+3y=36 when y is 6

Andrew [12]

2x + 3*6 = 36

2x = 36-18

2x = 18

x = 9

4 0

2 years ago

Read 2 more answers

Given that x is an integer, what is the solution of <br>|x-1|<img src="https://tex.z-dn.net/?f=%20%5Cleqslant%201" id="TexFormul

Varvara68 [4.7K]

Answer:

see explanation

Step-by-step explanation:

Inequalities of the type | x | ≤ a always have solutions of the form

- a ≤ x ≤ a

Given

| x - 1 | ≤ 1 then

- 1 ≤ x - 1 ≤ 1 ( add 1 to each of the 3 intervals )

0 ≤ x ≤ 2

Since we require an integer solution then x = 0, 1, 2

5 0

2 years ago