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3 years ago

12

The sum of two consecutive integers is -15. Which equation could you use to find the two integers and what is the smaller intege

r? x + x+ 1=-15

1 answer:

PtichkaEL [24]3 years ago

4 0

Answer:

-8

Step-by-step explanation:

x+x+1= -15

2x+1=-15 (group the x's together)

2x= -14 (move the 1 to the right side)

x= -7

(-7)+(-8) = -15

-8 is the smaller integer

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Write an expression to represent the perimeter of the figure below. rectangle with 2x-3 and x+2

In-s [12.5K]

Hi there!

The perimeter is when you add all the sides of a shape. In a rectangle, two sides are the same, and so are the other two. So, if the two sides are 2x-3 and x+2 the expression will be:

2(2x-3) + 2(x+2)

If we were to simplify this, it would be

4x-6+2x+4
6x-2

Hope this helps!

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3 years ago

Greg Tossed on number cube and recorded the results. The table shows the number of times he Rolled each number. Based on the tab

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Answer:

b) 1/9

Step-by-step explanation:

the dice was rolled 36 times, out of those 36 times #4 was rolled 4 times. 4/36 can be redused to 1/9.

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3 years ago

Read 2 more answers

the volume of a rectangular prism is 4800cm3. the base is 12 cm long and 20 cm wide what is the height of the prism

Paul [167]

For prisms: V = Bh where B is the area of the Base of the prism and h is the height of the prism.

B = 12(20)
B = 240

Now let's substitute into:
V = Bh
4800 = 240h divide both sides by 240
20 = h

So the height of the prism is 20 cm

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3 years ago

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1. According to a recent survey, 13 out of the 33 students in a class take the bus to school. What is the ratio of students who

AlexFokin [52]

Answer: (1) 13/20 (2) 8 (3) Yes. They are proportional

<u>Step-by-step explanation:</u>

(1) 13 students take the bus.

33 - 13 = 20 students do not take the bus

$\dfrac{\text{take the bus}}{\text{do not take the bus}}:\dfrac{13}{20}$

(2)

$\dfrac{2\ red}{3\ green}=\dfrac{x}{12\ green}\\\\\\\underline{\text{cross multiply}:}\\2(12)=3(x)\\24=3x\\8=x$

(3)

$\dfrac{6}{10}\div \dfrac{2}{2}\quad =\dfrac{3}{5}\\\\\\\dfrac{9}{15}\div \dfrac{3}{3}\quad =\dfrac{3}{5}\\\\\\\dfrac{15}{25}\div \dfrac{5}{5}\quad =\dfrac{3}{5}$

All of the fractions simplify to the same number so they ARE proportional.

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2 years ago

A fence for a rectangular garden with one side against an existing wall is constructed by using 60 feet of fencing. What is the

Y_Kistochka [10]

Step-by-step explanation:

A fence for a rectangular garden with one side against an existing wall is constructed by using 60 feet of fencing.

Perimeter of rectangle (3 sides)= 60 feet

Let 'x' be the width of the wall

$Perimeter = 2(length)+2(width)\\60=2(length)+2x\\\\60-2x=2(length)\\\frac{60-2x}{2} =length\\Length =30-x$

Formula for the area of the rectangle is

$Area=length \cdot width\\A=length(x)$

Replace the length we got using perimeter

$A=(30-x)(x)\\A(x)= 30x-x^2$

To find out the maximum are we take derivative

$A'(x)= 30-2x\\0=30-2x\\-30=-2x\\x=15$

find out second derivative to check whether x=15 is maximum

$A''(x)=-2$

second derivative is negative

So, Maximum area at x=15

To find maximum area we plug in 15 for x in A(x)

$A(x)=30x-x^2\\A(15)=30(15)-15^2\\A(15)=225$

So, maximum area is 225 square feet

3 0

3 years ago