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Gnoma [55]
3 years ago
10

Find two consecutive even integers whose sum is -50. Which of the following equations could be used to solve the problem? A) 2 x

+ 2 = -50 B) 2 x = -50 C) 2 x + 1 = -50 D) x^2 + 1= -50
Mathematics
2 answers:
givi [52]3 years ago
7 0

Answer:

2x+2=-50

Step-by-step explanation:

x+2=y\\x+y=-50\\x+x+2=-50\\2x+2=-50

The equation that can be used to find out x and y is 2x+2=-50

Kipish [7]3 years ago
4 0

Answer:

\mathrm{A}

Step-by-step explanation:

Two consecutive even integers.

The first integer is even and can be as x

The second integer is also even and can be as x+2

Their sum is -50

x+x+2=-50

2x+2=-50

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The claim is that the proportion of adults who smoked a cigarette in the past week is less than 0.30​, and the sample statistics
IrinaK [193]

Answer: 0.84

Step-by-step explanation:

let p be the population proportion of adults who smoked a cigarette in the past week.

As per given , we have

H_a: p

Sample size : n= 1491

The sample proportion of adults smoked a cigarette= \hat{p}=\dfrac{x}{n}=\dfrac{462}{1491}=0.30985915493\approx0.31

The test statistic for proportion is given by :-

z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

Substitute all the values , we get

z=\dfrac{0.31-0.30}{\sqrt{\dfrac{0.30(1-0.30)}{1491}}}\\\\=\dfrac{0.01}{\sqrt{0.000141}}\\\\=\dfrac{0.01}{0.011874342087}=0.84261497731\approx0.84

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6 0
3 years ago
3. 'a' and 'b' are the intercepts made
Julli [10]

Given:

'a' and 'b' are the intercepts made  by a straight-line with the co- ordinate axes.

3a = b and the line  pass through the point (1, 3).

To find:

The equation of the line.

Solution:

The intercept form of a line is

\dfrac{x}{a}+\dfrac{y}{b}=1         ...(i)

where, a is x-intercept and b is y-intercept.

We have, 3a=b.

\dfrac{x}{a}+\dfrac{y}{3a}=1           ...(ii)

The line  pass through the point (1, 3). So, putting x=1 and y=3, we get

\dfrac{1}{a}+\dfrac{3}{3a}=1

\dfrac{1}{a}+\dfrac{1}{a}=1

\dfrac{2}{a}=1

Multiply both sides by a.

2=a

The value of a is 2. So, x-intercept is 2.

Putting a=2 in b=3a, we get

b=3(2)

b=6

The value of b is 6. So, y-intercept is 6.

Putting a=2 and b=6 in (i), we get

\dfrac{x}{2}+\dfrac{y}{6}=1

Therefore, the equation of the required line in intercept form is \dfrac{x}{2}+\dfrac{y}{6}=1.

5 0
3 years ago
a circular frame that is 3-inches wide surrounds the mirror what I the combined area in square inches of the circular mirror and
Tcecarenko [31]
Assuming the frame is a perfect circle
and 3 inches wide indicates the diameter


area of a circle=pi times radius^2

diameter=2 times radius
radius=1/2 diameter
diameter=3
radius=1/2 times 3
radius=3/2=1.5

area=pi times 1.5^2=2.25
pi is aprox 3.14 so
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3 years ago
Read 2 more answers
A national hockey league rink is 115 feet longer than it is wide. If the perimeter of the rink is 570 feet, find the dimensions
ivolga24 [154]

The length of hockey rink is 200 feet and width of hockey rink is 85 feet.

Step-by-step explanation:

Given,

Perimeter of hockey rink = 570 feet

Width of hockey rink = w

Length of hockey rink = w+115

As a hockey rink is in rectangular shape;

Perimeter of rink = 2(Length + Width)

570=2(w+115+w)\\570=2(2w+115)\\570=4w+230\\570-230=4w\\340=4w\\4w=340

Dividing both sides by 4

\frac{4w}{4}=\frac{340}{4}\\w=85

Width of hockey rink = 85 feet

Length of hockey rink = 85+115 = 200 feet

The length of hockey rink is 200 feet and width of hockey rink is 85 feet.

Keywords: rectangle, division

Learn more about division at:

  • brainly.com/question/13018923
  • brainly.com/question/13035995

#LearnwithBrainly

3 0
3 years ago
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