Which of the following statements is true? (8.2D)

Answer:

20 weeks

Step-by-step explanation:

To be able to find the amount of weeks that it will take them to have the same amount, you can say that the amount that Brad saves each week for the number of weeks is equal to the amount that Samantha saves each week for the number of weeks plus the initial amount she has:

(16*1/2)*x=((9*2/3)*x)+40, where

x is the number of weeks

Now, you have to solve for x:

8x=6x+40

8x-6x=40

2x=40

x=40/2

x=20

According to this, the answer is that it will take them 20 weeks to have the same amount in savings.

Answer: 270 miles

Step-by-step explanation:

From the question, we are informed that the scale for a map to actual distance is 2 cm to 100 mi and that the driving distance on the map between Los Angeles and Las Vegas is 5.4 cm.

The actual distance, in miles, between Los Angeles and Las Vegas will go thus:

= 5.4cm/2cm × 100mi

= 2.7cm × 100miles

= 270 miles

All points except C are noncolinear with points B and I so one such point will be H.

A three-dimensional object with six equal square faces is called a cube. The cube's six square faces all have the same dimensions.

A cube is become by joining six squares such that the angle between any two adjacent lines should be 90 degrees.

The surface area of the cube = 6 side².

The volume of the cube = side³.

If two or more points are lies on a single straight line then that points will be co-linear.

In a given cube,

Point B, I, and C are making a straight line(side of the cube)

So all three points will be colinear for that line.

Now point C will be colinear with point B and I but all remaining point is not passing through line BI so all point except C will not be co-linear with point B and I.

Hence, All points except C are noncolinear with points B and I so one such point will be H.

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The required point that is noncollinear with points B and I is point H.

Given that,
To determine the point that is noncollinear with points B and I.

Collinear is defined as number of points that lie on the same line are collinear points.

A cube is a 3-dimensional figure with an equal length of sides and the angle between sides are 90.

Here,
In a cube,
Line AB, BF, BC contain B, and Line BC contains I and every point other than A, B C, I , and F are noncollinear to B and I,

Thus, the required point that is noncollinear with points B and I is point H.

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Answer:

28

Step-by-step explanation:

200 cm = 2m

Area = length × Width

So..

Area = 14×2

= 28

Answer:

28 m

Step-by-step explanation:

1 m=100 cm

?=200 cm ...

200 cm=2m

area=lw

A=14 m*2 m

A=28 m

Answer:

[tex]Area \: of \: rhombus = \frac{pq}{2} [/tex]

Where p is diagonal 1 and q is diagonal 2

Step-by-step explanation:

Different formulas to find the area of a rhombus are:

Formulas to Calculate Area of RhombusUsing DiagonalsA = ½ × d1 × d2

Using Base and HeightA = b × h

Using TrigonometryA = b2 × Sin(a)

Area = d1×d2÷2

Answer:

60m

Step-by-step explanation:

Remember that a segment that connects two points A and B is written as:

AB

Now, assuming that in this case the points B, D, and C are collinear, we can see that C is between B and D.

With this, we can find that BC = 10

Then we can write:

BD = BC + CD

And we know that:

BD = 14

CD = 4

we can replace thest two in the above equation to get:

14 = BC + 4

14 - 4 = BC

10 = BC

We just found that the value of the segment BC is 10.

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Answer:

10 km/h

Step-by-step explanation:

First, convert 150 minutes to hours:

150/60

= 2.5 hours

Then, to find his speed, divide the km by the number of hours:

25/2.5

= 10 km/h

Answer:

10 km / hr

Step-by-step explanation:

We want to find the average speed in kilometers per hour.

We know that Andre cycled 25 kilometers in 150 minutes.

First, we have the convert 150 minutes to hours.

There are 60 minutes in 1 hour, so we can divide 150 by 60.

150/60= 2.5

Next, find the average speed in kilometers per hour.

Divide the kilometers traveled by the hours.

speed = kilometers / hours

Andre cycled 25 kilometers in 2.5 hours.

speed= 25 km /2.5 hrs

speed = 10 km/hr

Andre’s average speed was 10 kilometers per hour.

Answer:

Step-by-step explanation:

In order to find the area of the circle we must first find it's radius using the circumference

Circumference of a circle = 2πr

where

r is the radius

From the question

Circumference = 100 yd

So we have

100 = 2πr

Divide both sides by 2π

We have

[tex]r = \frac{100}{2\pi} \\ = \frac{50}{\pi} \\ = 15.91549[/tex]

We have

radius = 15.9 yd

Since we've found the radius we can use it to find the area

Area of circle = πr²

Area = (15.9)²π

Area = 252.81

= 794.226

We have the final answer as

Area = 794.23 yd² to 2 decimal places

Hope this helps you

Answer:

x = 2

Step-by-step explanation:

AC = BC

5x = 10

x = 2

Answer:

[tex]\huge\boxed{y = -5x - 4}[/tex]

Write an equation in the format y = mx + b, or the slope-intercept formula, where:

m = slope

b = y-intercept

Plug in the values given:

y = (-5)x + (-4)

Simplify:

y = -5x - 4. This is the equation in slope-intercept form.

Answer: y=-5x-4

Step-by-step explanation:

Slope intercept form is y=mx+b

Since m represents slope you will plug in -5 because that is your slope.

Since b represents the y-intercept, you will plug in -4 after y=-5x

so therefore your equation is y=-5x-4

Tried my best to explain...

Answer:

have you heard of mathpapa, i think you should try that, its gotten me through algebra. i wish i could help, good luck!!

Step-by-step explanation:

Answer:

4+x

Step-by-step explanation:

[tex]Let\: the\:unknown\:number\:be \:x\\\\= x +4[/tex]

Answer:

x + 4

Step-by-step explanation:

The sum - '+'

Of a number - 'x'

And four - '4'

The sum of a number and 4 would be 'x + 4'.

Hope this helps.

Answer:

Step-by-step explanation:

3^3 * (x^2)^3 * (y^2)^3

27x^6y^6

Answer:

1)     x = 24

    AB = 33

    AD = 33

2)     x = 7

    PS = 21

    QR = 21

3)    x = 36

      K = 104

     N = 76

Step-by-step explanation:

1)  5x-87 = x+9

   4x = 96

   x = 96/4

   x = 24

   AB = 5(24)-87 = 33

   AD = 24 + 9 = 33

2)  4x - 7 = 3x

     x = 7

    PS = 4(7) - 7 = 21

    QR = 3(7) = 21

3)  x + 68 + 2x + 4 = 180

    x = 36

    K = 36 + 68 = 104

    N = 2(36) + 4 = 76

Answer:

Yes it can be

Step-by-step explanation:

You can switch the orders in addition and still get the same answer.

Answer:

The missing digit is 9 and  goes on the end of 136.

Step-by-step explanation:

3^2

= 37 * 37

= 1369.

Answer:

the answer is C

Step-by-step explanation:

because of you multiply by the decimals that less than 1, the number will decrease.

Answer:

23

Step-by-step explanation:

f(x) = – 3x + 8

Let x = -5

f(-5) = – 3*-5 + 8,

     = 15 +8

    = 23

Answer:

f(-5) = 23

Step-by-step explanation:

plug in -5 for x

f(-5) = -3(-5) + 8

-3 x -5 = 15.

15 + 8 = 23

f(-5) = 23

Answer:

The minimum amount of fencing needed to complete the project = 68 feet

Step-by-step explanation:

The garden is a square

Let the sides of the square be L

area of square = L × L = L² = 289 square feet

L² = 289 sq ft

L = √(289

L = 17 feet

This means that each side of the garden has a dimension of 17 ft.

Ince a square has 4 equal sides, to calculate the minimum amount of fencing needed, we will find the total length of the 4 sides of the garden, which is the perimeter of the garden:

Perimeter of a square = 4 × L

= 4 × 17

= 68 feet

Therefore, minimum amount of fencing needed = 68 feet

Answer: 8 Because i do math and got 8

Answer:

a = 1 and b = 2

Step-by-step explanation:

Input the counterexample into the formula.

(a + b)² = a² + b²

(1 + 2)² = 1² + 2²

(3)² = 1 + 4

9 ≠ 5

This proves that the statement is false.

Answer:

167°

Step-by-step explanation:

The supplement of an angle will always be the measure of an angle, when added to the original, will equal 180°.

If we know the measure of 1 of these angles, we can easily find the measure of the other, assuming x is the missing angle measure.

[tex]13+x=180[/tex]

We can subtract 13 from both sides to get the value of x.

[tex]13+x-13=180-13\\\\x=167[/tex]

Hope this helped!

Answer:

167

Step-by-step explanation:

Supplementary angles add to 180

x+13 = 180

Subtract 13 from each side

x = 180-13

x =167

The supplement to 13 is 167

Answer:

87.5

Step-by-step explanation:

Answer:

  insulation cost: $1730

Step-by-step explanation:

The area to be covered is 36 ft by 54 ft, so is ...

  (36 ft)(54 ft) = 1944 ft^2

At a cost of $0.89 per square foot, the cost of the insulation is ...

  (1944 ft^2)($0.89/ft^2) = $1730.16

To the nearest dollar the cost of the insulation will be $1730.

__

The cost of insulation is given. The question asks for the cost of installation. Not enough information is provided to answer that question.

Answer:

Step-by-step explanation:

400 meters/54 seconds = 7.407 meters per second. when rounded to the nearest 10th you would get 7.4

Answer - 7.4

Answer:

JK = 14

Step-by-step explanation:

Since, J is between H and K.

Therefore,

HJ + JK = KH

4t - 15 + 5t - 6 = 15

4t + 5t - 15 - 6 = 15

9t - 21 = 15

9t = 15 + 21

9t = 36

t = 36/9

t = 4

JK = 5t - 6 = 5*4 - 6 = 20 - 6 = 14

Answer:

1) when tomato patch is 6.5 feet the area is 191.75 sq.ft

2)  when tomato patch is 7 feet the area is 217 sq.ft

3) when area is 338 sq.ft the tomato patch is 9.0778 feet

4) when area is 147.25 sq.ft the tomato patch is 5.543799 feet

Step-by-step explanation:

The given equation is  :

3x^2 + 10x

Length of Tomato (in feet)                                       x,  6.5   ,  x   ,     7

Patch Area of Vegetable Garden (in square feet) 338, x , 147.25, x

So we can find the missing terms with the help of the equation 3x^2 + 10x

Putting the values of x from the length of the tomato patch

1)  3x^2 + 10x= 3(6.5)²+ 10 (6.5)=126.75+ 65= 191.75 square feet

2) 3x^2 + 10x= 3(7)² +10 (7)= 147+70= 217 square feet

So the area of  her vegetable garden for a variety of  lengths of the tomato patch= 6.5 feet is 191.75  square feet

and for 7 feet is 217 square feet

Similarly we can find the length of the tomato patch from the area by again using the given equation  3x^2 + 10x

So when area = 338 square feet

The equation becomes  

3x^2 + 10x= 338

Rearranging it :     3x^2 + 10x-338 =0

This is a quadratic equation and can be solved with the help of the formula.

Here a= 3, b= 10 and c= -338

x = -b±√b²- 4ac/2a

Putting the values of a,b,c we get

x= -10±√100+ 4056/6

x= -10± 64.467/6

x= 54.467/6 or -74.467/6   we ignore the negative value because the garden cannot have the negative area.

x= 9.0778 feet

Similarly repeating the same process would give

So when area = 147.25 square feet

The equation becomes  

3x^2 + 10x= 147.25

Rearranging it :     3x^2 + 10x-147.25 =0

This is a quadratic equation and can be solved with the help of the formula.

Here a= 3, b= 10 and c= - 147.25

x = -b±√b²- 4ac/2a

Putting the values of a,b,c we get

x= -10±√100+ 1767/6

x= -10± 43.208/6

x= 33.208/6 or -53.208/6  we ignore the negative value because the garden cannot have the negative area.

x= 5.543799 feet

Answer:

The answer is "false".

Step-by-step explanation:

The following are the description of the line, line segment, and ray.