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3 years ago

Marianne chose an integer. She subtracted 7 then multiplied the difference by -5. The product was 60. What integer did she chose

Mathematics

1 answer:

Pepsi [2]3 years ago

5 0

Answer:

Step-by-step explanation:

(x-7) * -5 = 60

-5x + 30 = 60

5x = 60 - 30

x = 30/-5

so x = -5

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<img src="https://tex.z-dn.net/?f=y%20%3D%20%20-%209x%20-%206" id="TexFormula1" title="y = - 9x - 6" alt="y = - 9x - 6" align=

Veronika [31]

Answer: $9x+y=-6$

Step-by-step explanation:

$Standard: Ax+By=C$

$y=-9x-6$

We need -9x on the left side, to move it, we must add 9x on both sides.

$9x+y=-9x-6+9x\\9x+y=-6$

Done. We have Ax = 9x, By = 1y and C after the equal sign = -6

6 0

3 years ago

Need help asap..really need ur help

Marta_Voda [28]

Answer:

none of the above

Step-by-step explanation:

it is actually the fact that for every positive number on the number line there is a corresponding negative integer

4 0

3 years ago

I have 7 cowry shells. If a dozen eggs (12 eggs) cost 3 cowry shells, how many dozens can I purchase?

alexandr402 [8]

Two dozens and you have one shell left

5 0

4 years ago

Which value of x is in the solution set of the inequality -x+8>6

ale4655 [162]

Solving the inequality $-x+8>6$ we get $x$

Step-by-step explanation:

We need to find the value of x from the inequality $-x+8>6$

Solving:

$-x+8>6$

Subtract 8 on both sides:

$-x+8-8>6-8$

$-x>-2$

Divide both sides by (-1). For doing this the sign of inequality is reversed i.e, > is changed into <

$x$

So, Solving the inequality $-x+8>6$ we get $x$

Keywords: Solving inequalities

Learn more about Solving inequalities at:

#learnwithBrainly

5 0

3 years ago

The length of a rectangle is (2x –1) units, and the width is (x − 2) units. The area of the rectangle is 20 square units. What i

DedPeter [7]

Length of the given rectangle is 8 units.

Option - D

<u>Solution:</u>

Given that

Length of a rectangle = $(2x-1)\text { units}$

Width of a rectangle = $(x-2)\text{ units}$

Area of rectangle = 20 square units

Need to calculate length of rectangle.

$\text { Formula of area of rectangle }=\text { Length of a rectangle } \times \text { Width of a rectangle }$

Substituting given value of Area of rectangle and expressions for length and width of rectangle in formula, we get

$20=(x-2)(2 x-1)$

On solving above equation for x we get

$\begin{array}{l}{20=x(2 x-1)-2(2 x-1)} \\\\ {\Rightarrow 20=2 x^{2}-x-4 x+2} \\\\ {\Rightarrow 2 x^{2}-5 x+2-20=0} \\\\ {\Rightarrow 2 x^{2}-5 x-18=0}\end{array}$

On splitting the middle term in such a way that product of split terms comes as $2x^2\times -18 = -36x^2$ and summation comes as -5x, we get

$\begin{array}{l}{\Rightarrow 2 x^{2}+4 x-9 x-18=0} \\\\ {=>2 x(x+2)-9(x+2)=0} \\\\ {\Rightarrow(2 x-9)(x+2)=0} \\\\ {\Rightarrow(2 x-9)=0 \text { or }(x+2)=0} \\\\ {\Rightarrow x=\frac{9}{2} \text { or } x=-2}\end{array}$

$\begin{array}{l}{\text { When } x=\frac{9}{2}, \text { length }=(2 x-1) \text { units }=\left(2 \times \frac{9}{2}-1\right)=8 \text { units }} \\\\ {\text { When } x=-2, \text { length }=(2 x-1) \text { units }=(2 \times(-2)-1)=-5 \text { units }}\end{array}$

As length cannot be negative hence we can ignore negative value.

So length is 8 units.

3 0

3 years ago