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2 years ago

13

Three times a number is subtracted from another number and the difference is 3. The sum of the two numbers is 31. What is the

smaller of the two numbers?

1 answer:

Brut [27]2 years ago

5 0

Using the equations y-3x=3 and x+y=31 you can find that x=7 and y=24. There for x is the smaller of the two numbers.

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Write an expression to represent: Eight more than the product of two and a number x.

boyakko [2]

Answer:

2x+8

Step-by-step explanation:

The number is x

product of two and a number x

2x

Eight more than

2x+8

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2 years ago

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Annie walks 15 feet away from her house and places a mirror on the ground. She backs 4 feet away from the mirror so that she can

Firdavs [7]

Answer:

18.75 ft

Step-by-step explanation:

The given scenario can be drawn as shown in the following attachment.

Given that,

$m\angle DCE=\angle ACB$ and $m\angle DEC=\angle ABC=90^{\circ}$

Therefore, $\Delta ABC\sim \Delta DEC$

$\Rightarrow \dfrac{AB}{DE}=\dfrac{BC}{EC}$

$\Rightarrow \dfrac{AB}{5}=\dfrac{15}{4}$

$\Rightarrow AB=\dfrac{15\times 5}{4}=18.75$ ft

AB is the height of the house.

7 0

2 years ago

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A group of students are planning a mural at a wall the rectangular wall has dimensions of (6x+7) by (8x+5) and they are planning

zvonat [6]

Answer: $46x^2+73x+15$

Step-by-step explanation:

The area of a rectangle can be calculated with the formula:

$A=lw$

l: the length of the rectangle.

w: the width of the rectangle.

The area of the remaning wall after the mural has been painted, will be the difference of the area of the wall and the area of the mural.

Knowing that the dimensions of the wall are $(6x+7)$ by $(8x+5)$ , its area is:

$A_w=(6x+7)(8x+5)\\\\A_w=48x^2+30x+56x+35\\\\A_w=48x^2+86x+35$

As they are planning that the dimensions of the mural be $(x+4)$ by $(2x+5)$ , its area is:

$A_m=(x+4)(2x+5)\\\\A_m=2x^2+5x+8x+20\\\\A_m=2x^2+13x+20$

Then the area of the remaining wall after the mural has been painted is:

$A_{(remaining)}=A_w-A_m\\\\A_{(remaining)}=48x^2+86x+35-(2x^2+13x+20)\\\\A_{(remaining)}=48x^2+86x+35-2x^2-13x-20\\\\A_{(remaining)}=46x^2+73x+15$

8 0

3 years ago

Find all real solutions:<br> x² - x - 12 = 0

Andrej [43]

Factor the equation. Remember the value should add to the b value and multiply to the c value.

x^2-x-12= 0
(x-4)(x+3)=0

Use the zero product property to find roots
x-4=0
x=4

x+3=0
x=-3

Final answer: x=-3, x=4

8 0

2 years ago

17-(5-p)=2(5p-16)<br> Step by step explanation please

12345 [234]

Answer:

p= 44 /9

(44 over 9)

Step-by-step explanation:

3 0

2 years ago