PLEASE ANSWER AT LEAST ONE AND IF YOU CAN, ANSWER MORE THAN ONE. THANK YOU!!!!


1. Read the following word problem, then choose which linear equation models the problem.

The sum of the ages of an older sibling and a younger sibling is 16. Four years from now, the of the younger sibling will be the same as the age of the older sibling was two years ago. Find the present age of each sibling.

A. 4x = 14 - x + 16
B. x + 14 - x = 16 + 2
C. x - 4 = 14 + x
D. x + 4 = 14 - x


2. Read the following word problem, then choose which linear equation models the problem.

A rectangular trampoline has an area of 338 square feet. The length of the trampoline is twice it’s width. Find the dimensions of the trampoline.

A. 2w = 338
B. 2w • w = 338
C. 2w + 2w = 338
D. 2(w + w) = 338


3. Read the following word problem, then choose which linear equation models the problem.

The length of a rectangle is six feet more than twice the width. The rectangles perimeter is 84 feet. Find the width and length of the rectangle.

A. 2w + 6 + w = 84
B. 2(2w + 6) + 2w = 84
C. (2w + 6) • (w) = 84
D. 2(2w + 6) • (2w) = 84


4. Read the following word problem, then choose which linear equation models the problem.

In Sunnyvale Park, there are 55 species of birds that migrate. This accounts for one third of all the species of birds sighted in the park. Find the number of species of birds that have been sighted in Sunnyvale Park.

A. 1/3 + x = 55
B. 1/3x = 55
C. 1/3 - x = 55
D. 55 + 1/3 = x

Answer:

(4.462, 19.411)

Step-by-step explanation:

From the description, the functions are:

f(x) = (11/5)^(x - 7/10)

g(x) = 1/8x² + 2x + 8

(Notice that 2 2/10 is equivalent to 22/10 = 11/5)

In the picture attached, the plot of the functions is shown. The exponential is in red and the quadratic is in blue. The exponential function begins to exceed the quadratic function from point (4.462, 19.411)

It's B (3.5, 17)

I don't know how that other guy got that but for me it's (3.5, 17) since I got it right.

Answer:

y > -2/3x + 3

Step-by-step explanation:

Well lets first start with the beginning and look at its features.

                                                          Features                                                          

- Dashed line

- Shaded up

- negative slope

- y intercept at 3

____________________________________________________________

So if the line is dashed with the shade going up that means the inequality starts like this,

y >

We can tell that the y intercept is at 3 because that the point the line touches the y axis.

So we got y > 3,

To find slope we use the following formula,

[tex]\frac{y^2-y^1}{x^2-x^1}[/tex],

So we can use points (0,3) and (3,1).

1 is y2 and 3 is y1 so 1 - 3 = -2

3 - 0 = 3

Slope: -2/3x

Thus,

the inequality is y > -2/3x + 3.

Hope this helps :)

The inequality [tex]y > -\frac{2}{3}\cdot x + 3[/tex] is represented by the graph.

According to the figure, we have an inequation of the form [tex]y > f(x)[/tex], where [tex]f(x)[/tex] is a linear function.

The linear function can be found by using the point-slope formula:

[tex]y-y_{1} = \left(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\right)\cdot (x-x_{1})[/tex] (1)

If we know that [tex](x_{1}, y_{1}) = (0, 3)[/tex] and [tex](x_{2}, y_{2}) = (3, 1)[/tex], then the linear function is:

[tex]y -3 = \left(\frac{1-3}{3-0} \right)\cdot x[/tex]

[tex]y = -\frac{2}{3}\cdot x+3[/tex] (1b)

The inequality [tex]y > -\frac{2}{3}\cdot x + 3[/tex] is represented by the graph.

We kindly invite to check this question on inequalities: https://brainly.com/question/15137133

Answer:

look below

Step-by-step explanation:

The equation of graph g(x) = f(-x) as it has been rotated along y-axis and the maximum coordinates of g(x) is (-3, 4).

A function can be thought of as output for the given set of inputs. The output is called the dependent variable and the inputs are called the independent variable.

We know when we rotate a function along the y-axis sign of x changes.

Given a function y = f(x) after rotation along y-axis it becomes y = f(-x) = g(x)

and if the given function is odd f(-x) becomes -f(x).

Also given that the maximum point of f(x) = (3, 4).

∴ Function  g(x) will have maximum at coordinates (-3, 4).

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Answer:

f(6) = 64

Step-by-step explanation:

f(x) = 2^x

Let x = 6

f(6) = 2^6

     = 2*2*2*2*2*2

    = 64

Answer:

B. 64

Step-by-step explanation:

[tex]f(x)=2^x[/tex]

Plug x as 6 and solve.

[tex]f(6)=2^{(6)}[/tex]

[tex]f(6)=2^6[/tex]

[tex]f(6)=2 \times 2 \times 2 \times 2 \times 2 \times 2[/tex]

[tex]f(6)=64[/tex]

Answer:

20

Step-by-step explanation:

12/5 means roughly 2 cards per week

In 4 weeks he would get 8 additional cards

12+8=20

Hope this help!

Answer:

47.13 for 17 melons

Step-by-step explanation:

We can use a ratio to solve

24.95               x dollars

---------------- = ----------------

9 melons          17 melons

Using cross products

24.95 * 17 = 9x

Divide by 9

24.95 * 17/9 = x

47.127777777 = x

Rounding to the nearest cent

47.13 for 17 melons

Answer:

$47.12

Step-by-step explanation:

We know that 1 box has 9 lemons and each box is $24.95. Therefore, 1 lemon costs 24.95/9 dollars. That leads us to know that 17 lemons cost (24.95/9 * 17). Once we plug that into the calculator and round to the nearest hundreth place, we get $47.12.  

Answer:

B (the second choice)

Step-by-step explanation:

to calculate the area of a circle you use the formula A= π r²

the radius of the circle is 5 in, so the only answer that could work is

π(5in)²(30/360).

Hope this helps <3

~sunflowerpug

UwU

Answer:

1 < x < 3

(1 , 3)

Step-by-step explanation:

We have been provided with a set that is

{x|1 < x < 3}

We have to write it in both as an inequality and also in the form of interval notation.

The inequality can be found easily by just looking at the given set. It states that the set contains x, such that x is greater than 1 and x is smaller than 3, so the inequality can be written as:

1 < x < 3

To write in interval notation, we use brackets, As both 1 and 3 are not included, we'll use round brackets to show the interval.

(1 , 3)

Answer:

-1 10/17

Step-by-step explanation:

Answer:

y = 1 10/17

Step-by-step explanation:

The LCD is 9y.  Multiply all three terms by 9y:

(9y)(12)                   (9y)(4)

----------- + 8(9y) = -----------

     y                           9

This reduces to 108 + 72y = 4y, or 108 = -68y

Dividing both sides by 68, we get y = 1 10/17

Answer:

2.88 kilometers

Step-by-step explanation:

8. If the round trip took 17/20 of an hour.

How long does it take in minutes?

1 hour=60 minutes

17/20*60

=17*3

=51 minutes

9. Calculate the distance between the supermarket and Hilary's house

Speed=distance/time

Distance=speed × time

Total speed=30km/h+12km/h

=42km/h

Total time=17/20 hour

Time spent for 30km/h=30/42*17/20

=510/840

=0.61h

Time spent for 12km/h=12/42*17/20

=204/840

=0.24h

Supermarket to Hilary's house=12km/h

Distance=speed × time

=12×0.24

=2.88 kilometers

Answer:

m<1= 50 degrees

m<2= 130 degrees

m<3= 50 degrees

m<4= 130 degrees

m<5= 40 degrees

m<6= 30 degrees

Step-by-step explanation:

All of the angles of triangles equal to 180 degrees, so you can solve all of the angles based on that info :)

Answer:

Green: 50%

Purple: 25%

Black: 25%

Step-by-step explanation:

Well, the circle has 4 equal sections.

2 are green

1 is purple

1 is black

To find the probability of the spinner landing on each section we make a fraction.

Green)

2/4 simplified,

1/2, as a percent is 50%

Purple)

1/4,

1 divided by 4 =  .25

To make that into a percent we move the decimal 2 places to the right -> 25%

Black)

1/4

1 divided by 4 =  .25 as a percent 25%

Answer: In the top box:   S ≥ 2000 - (S + 178)    

S ≥ 2000 - A      A = S + 178  substituted for  A in the first  equation

The solution is S ≥ 911    and  A ≥ 1089

Step-by-step explanation:

S ≥ 2000 - (S + 178)

S ≥ 2000 - S -178    Add S to both sides,

S + S ≥ 2000 -178

2S ≥ 1822

S ≥ 911     so  A ≥ 911 + 178   A≥ 1089  (but the question shown doesn't ask that)

This means that if Shane collected at least 911 cans and Abha collected at least 1089, their total was at least 2000.

Answer:

Step-by-step explanation:

Area of octagon = area of square - area of 4 triangles that are formed in four corners

Area of square:

Side = Width of the octagon = 10 cm

Area = side * side

       = 10 * 10

      = 100 cm²

Area of triangle:

Base =  2cm

height =  2 cm

Area =[tex]\frac{1}{2}b*h[/tex]

        =[tex]\frac{1}{2}*2*2[/tex]

       = 2  cm²

Area of octagon = 100 - 2 =  98  cm²

Answer:

Option B.

Step-by-step explanation:

If a line passing through two points, then the slope of line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that f(x) passing through the points (0,-2) and (1,1). So, slope of f(x) is

[tex]m_1=\dfrac{1-(-2)}{1-0}=1+2=3[/tex]

It is given that g(x) passing through the points (-4,0) and (0,2). So, slope of g(x) is

[tex]m_2=\dfrac{2-0}{0-(-4)}=\dfrac{2}{4}=\dfrac{1}{2}[/tex]

Since, [tex]\dfrac{1}{2}<3[/tex], therefore [tex]m_2<m_1[/tex].

The slope of g(x) is less than the slope of f(x).

Therefore, the correct option is B.

Answer:

A. 3

Step-by-step explanation:

Let the integers be

x

(x+1)

(x+2)

(x+3)

Sum the integers

We have,

x+(x+1)+(x+2)+(x+3)=18

x+x+1+x+2+x+3=18

4x+6=18

Subtract 6 from both sides

4x-6=18-6

4x=12

Divide both sides by 4

4x/4=12/4

x=3

The smallest integer which is x is equal to 3

Check:

3+4+5+6=18

Answer:

Because these are in slope-intercept form which is much easier because y=mx+b means that m=the slope, and b=y intercept so all your information is laid out in front of you.

Step-by-step explanation:

Answer:

Hello!

~~~~~~~~~~~~~~~~~~~~~

Your answer would be (D) 25–40

Step-by-step explanation: The largest amount od people is 40 the lowest amount is 35 so to maximize the bars you would want the smallest range.

Thus, (D) is the correct answer.

Answer:

Its D

Step-by-step explanation:

for all the ppl who don't care how they got it

Answer:

i think it's 100

Step-by-step explanation:

100 is the interval which would not be used for the stems of a stem-and-leaf plot.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

In a stem-and-leaf plot, the stem is typically the leftmost digits of a number and the leaf is the rightmost digit.

The stem represents the largest common place value of the numbers being plotted.

If the data set is {12, 15, 21, 26, 30, 31, 35, 38}, the stem would be the tens place and the leaf would be the ones place.

The stem values would be 1, 2, 3, and 4.

Therefore, the interval for the stems should be determined by the range of the data set.

Hence, 100 is the interval which would not be used for the stems of a stem-and-leaf plot.

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Answer:

Step-by-step explanation: the discount on the original price is a 20% discount, so it is 20% of x, or 0.2x.

We are told the discount is $3, so 0.2x = 3. Now we solve the equation for x.

0.2x = 3

Divide both sides by 0.2.

x = 3/0.2

x = 15

The regular price is $15.

Answer:

12

Step-by-step explanation:

x = original price

x* 20% = 3

Change to decimal form

x*.2 = 3

Divide each side by .2

x*.2 /.2 = 3/.2

x =15

The original price is 15

Selling price is 15-3 = 12

Answer:

14)  [tex]\frac{1}{2} n-1[/tex] (half of n is [tex]\frac{1}{2} n[/tex] and subtract that with 1)

15) 3o+4 ( multipy o with 3, it becomes "3o" and add that with "4")

16) 5p-2 (same concept as No.15)

17) 7+r ( add 7 with "r")

18) s+7 (same concept with No.18)

19) t-10 (subtract 10 from "t")

20) 10-u ( subtract "u" from 10)

21) 2v ( multiply 2 with v)

22) 2w (same concept as No.21)

23) [tex]\frac{x}{5}[/tex] (divide x with 5 and show the result in fractions)

24) [tex]\frac{5}{y}[/tex] ( divide 5 with y and show the result in fractions)

Tip : Alphabets and numbers never combine unless you multiply them with it (eg. 3*x = 3x) but ( 3+x stays like that ).

Answer:

75

Step-by-step explanation:

200 ÷ 8 = 25

25 x 3 = 75

The number of times 2 coins will turn heads up is 75, the correct option is D.

Probability is the measure of the likeliness of an event to happen.

The probability has a range from 0 to 1, 0 denotes uncertainty and 1 indicates certainty.

When 3 coins are flipped, there is two probabilities,

The probability of getting a head or a tail is 1/2.

The probability that there will be 2 coins that will turn up heads is 3/8

Probability is defined as the ratio of favorable outcomes to total outcomes.

If Evelyn flips the three coins simultaneously 200 times, the number of times she can expect only two heads to turn up is given by,

= (3/8) * 200

= 75

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Answer:

4,480

Step-by-step explanation:

In the above question, we are told that the measurements of the stained glass windows Maria intends to make is 14 inches wide by 20 inches long.

Step 1

We find the area of the window

Length × Width ( Breadth)

= 20 × 14 = 280 square inches

Step 2

The tiles that she intends to use has the following measurements

1/4 inch by 1/4 inch

The Area of these glass tiles = 1/4 × 1/4 = 1/16 square inches.

Step 3

Finally to calculate the number of tiles that she would required to make the stained glass window =

Area of the window ÷ Area of the glass tiles

= 280 square inches ÷ 1/16 square inches

= 4,480

Therefore, Maria would be needing 4,480 glass tiles to make her stained glass window.

Answer: 25<27

Step-by-step explanation:

-125/-5=25

-135/-5=27

25<27

Answer:

[tex]\boxed{25<27}[/tex]

Step-by-step explanation:

[tex]-125 > -135[/tex]

Dividing both sides by -5

=> [tex]\frac{-125}{-5} < \frac{-135}{-5}[/tex]

=> [tex]25 < 27[/tex]

Answer:

36

Step-by-step explanation:

In the above question, we have been given a rule to follow

Given a * b = ba−ba+ab

We are to find (2*3)×(3*2)

Let simplify each bracket first

a * b = ba−ba+ab

2*3, a = 2, b = 3

2*3 = 3×2 - 3×2 + 2×3

= 6 - 6 + 6

= 6

a * b = ba−ba+ab

3*2, a = 3, b = 2

3*2 = 2×3 - 2×3 + 3×2

= 6 - 6 + 6

= 6

(2*3)×(3*2)

= 6 × 6

= 36

The answer is 36

===============================================

Work Shown:

The notation P(B|A) has a vertical line separating the B and A

Given values

----------

P(B|A) = P(B and A)/P(A) ... conditional probability formula

P(B and A) = P(B|A)*P(A) ... solve for P(B and A)

P(B and A) = 0.88*0.46 ... plug in given values

P(B and A) = 0.4048

P(B and A) = 0.405 .... rounding to three decimal places

This is the same as P(A and B).

Answer:

x = 1.125

Step-by-step explanation:

6x – 5 = (2/3)x + 1

6x - (2/3)x = 1 + 5

(16/3)x = 6

x = 9/8

x = 1.125