Here is an inequality on a number line.

Answer:

For a 200 mile journey, 55.5 liters of fuel

is needed

Step-by-step explanation:

Here, we want to estimate the fuel needed for a 200 mile journey

we can use this by having an average

By adding all and dividing by 6

Mathematically, that will be;

(24 + 59 + 44 + 50 + 59 + 97)/6

= 55.5

The reason for this is because if we added all the lengths and divide by 6, what we get is 200

Thus, if we added the liters of fuel used per each and divide by 6, we can have an estimate for a 200-mile journey

Answer:

485.42

Step-by-step explanation:

multiply by using` long multiplication

Answer:

A: -0.33

Step-by-step explanation:

If you convert it to slope-intercept form, you get y = -1/3x + 4 so the slope is -1/3 or -0.33

Answer:

[tex]8 + \frac{1}{2} x = - 12 \\ 16 + x = - 24 \\ x = - 24 - 16 \\ x - 40[/tex]

Can you mark as BREINLEST

Answer:

is this including an appatizer fork? if not, then it's 1/1 if it is then it's 1/2

Step-by-step explanation:

Answer:

y=3x+2

Step-by-step explanation:

Answer:

y=3x+2

Step-by-step explanation:

facts: slope is m, and b is y-intercept

y=3x+2

hope this helps!

Answer:

a=[tex]\frac{-1}{2}[/tex]b+[tex]\frac{2}{3}[/tex]+[tex]\frac{1}{6}[/tex]w

Step-by-step explanation:

Original equation: w=3(2a+b)-4

1. Distribute the 3 to the numbers inside parenthesis to get:

    w=6a+3b-4

2. Subtract 6a from both sides to get:

    -6a+w=3b-4

3. Subtract w from both sides to get:

    -6a=3b-4-w

4. Divide both sides by -6 and simplify to get:

    a=[tex]\frac{-1}{2}[/tex]b+[tex]\frac{2}{3}[/tex]+[tex]\frac{1}{6}[/tex]w

Answer:

George would have 7 pages complete

Step-by-step explanation:

Since he has 1 paper complete now and after 3 hours he would have 7 since 3x2=6 and 6+1=7

Given:

The given figure is dilated by a scale factor 1.5.

To find:

The coordinates of B' and C'.

Solution:

If a figure is dilated by a scale factor k at point (a,b), so the rule of transformation is

[tex](x,y)\to (k(x-a)+a,k(x-b)+b)[/tex]

From the given figure it is clear that A(3,-3), B(-2,2) and C(-3,-5).

The figure is dilated by a scale factor 1.5 at point A(3,-3), so the rule of transformation is

[tex](x,y)\to (1.5(x-3)+3,1.5(x-(-3))+(-3))[/tex]

[tex](x,y)\to (1.5(x-3)+3,1.5(x+3)+(-3))[/tex]

[tex](x,y)\to (1.5(x)-4.5+3,1.5(x)+4.5-3)[/tex]

[tex](x,y)\to (1.5x-1.5,1.5x+1.5)[/tex]

Using this rule, we get

[tex]B(-2,2)\to B'(1.5(-2)-1.5,1.5(2)+1.5)[/tex]

[tex]B(-2,2)\to B'(-3-1.5,3+1.5)[/tex]

[tex]B(-2,2)\to B'(-4.5,4.5)[/tex]

And

[tex]C(-3,-5)\to C'(1.5(-3)-1.5,1.5(-5)+1.5)[/tex]

[tex]C(-2,2)\to C'(-4.5-1.5,-7.5+1.5)[/tex]

[tex]C(-2,2)\to C'(-6,-6)[/tex]

Therefore, the coordinates of B' and C' are B(-4.5,4.5) and C'(-6,-6).

Answer:

Lucy cuts 4 squares with side length x in. from the corners of a 6 in. by 9 in. cardboard rectangle. She folds the remaining cardboard to make a tray that is x in. high. Write and simplify a polynomial function for the volume V

Step-by-step explanation:

9v

The polynomial function for the volume V of the tray in terms of x will be;

⇒ 4x³ - 30x² + 54x

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

Lucy cuts 4 squares with side length x inch from the corners of a 6 inch by 9 inch cardboard rectangle.

She folds the remaining cardboard to make a tray that is x inch high

Now,

By the give condition we get;

Length of tray = 9 - 2x

Width of tray = 6 - 2x

Height of tray = x

So., The volume of the tray is expressed as;

Volume = x (9 - 2x) (6 - 2x)

             = x (54 - 18x - 12x + 4x²)

             = x (54 - 30x + 4x²)

             = 4x³ - 30x² + 54x

Thus, The polynomial function for the volume V of the tray in terms of x will be;

⇒ 4x³ - 30x² + 54x

Learn more about the volume visit:

https://brainly.com/question/12410983

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Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

confused on what you are asking

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

18 always still have the same amount of money

Answer:

90 inches

Step-by-step explanation:

18 divided by 0.2 is 90

Answer:

D: 90 inches

Step-by-step explanation:

Got it right on edge!

Answer:

1/6 is the slope since you have to flip it

Step-by-step explanation:

Answer:

This is perpendicular because it is the reciprical of the other equation

Step-by-step explanation:

y=-6x+4.

the slope intercept form is y=mx+b

m is the slope

m=-6

for the equation to be perpendicular then the slope is the reciprical

Knowing this lets find a line perpendicular to this equation

Equation:

y=1/6x+2/3

or

y=x/6+2/3

[tex]b-2<5\\b<5+2\\b<7[/tex]

Therefore, the answer is b < 7.

Answer:

C. 9.6ft

D. Angle M

Step-by-step explanation:

Height of smaller surfboard = [tex]\frac{12}{4}[/tex] × 3.2ft

                                              = 9.6ft

If you flip ABCD over, the positions of the angles that are corresponding to each other would be the same, so the angle that would correspond with Angle D would be Angle M since both would be at the top right.

Answer:

Following are the solution to the question:

Step-by-step explanation:

The probability of virus  P(V) =0.32  

No virus  P(NV) =0.66

Patient testing of negative P(TN) = virus, and negative testing+no virus and negative testing

[tex]=0.32(1-0.992)+0.66 \times 0.979 \\\\=0.00256+0.64614\\\\=0.6487[/tex]

This is why the likelihood of a patient being free of the virus is negative.

[tex]= \frac{P(NV) \times\ tested \ negative }{P(TN)}[/tex]  

[tex]= \frac{0.66 \times 0.979}{0.6487}\\\\= \frac{0.64614}{0.6487} \\\\=0.996053646[/tex]

Answer:

1222222222

Step-by-step explanation:

Step-by-step explanation:

Lets find out,shall we?

Simple interest=(PRT)/100

=$1000×12×3)/100

=$360

Now for compound interest

A=P(1+R/100)^t

A=$1000(1+12/100)^3

A=$1404.928

so interest for compound interest=$(1404.928-1000)=$404.928

Clearly,Robin got more interest by compound interest than simple interest which business people understand lol.

Difference in interest=$404.928-360=$44.928

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

Explanation:

Check out the diagram below

I drew a rectangle with dimensions 56 ft by 78 ft.

Then I broke up the 56 into 50+6, and I broke up the 78 into 70+8

The reason for this is because it's fairly easy to multiply the areas of each smaller rectangle at this point

Add up all the areas found: 3500+420+400+48 = 4368

As a way to check, using your calculator shows that 56*78 = 4368

Answer:

1

Step-by-step explanation:

Answer:

P = 16x+26y units

Step-by-step explanation:

Let the length is (x+8y) units

Width = (8x-x+5y) units

We need to find the perimeter. We know that the perimeter is equal to the sum of all sides.

P = 2[(x+8y) + (8x-x+5y)]

= 2[(8x+8y+5y)]

= 2[8x+13y]

= 16x+26y

Hence, the required perimeter is 16x+26y.

Answer:

Decimal: 0.24

Fraction: 6/25

Answer:.

m= 116 degrees

a=41 degrees

Step-by-step explanation:

Explaination: add 89+50+64 = 203

the line that m is on should equal 180. so subtract 64 from 180 and you get 116 degrees. then add 89+50+64+116=319

360-319= 41

the whole polygon should equal 360 degrees

Answer:

2x+9

Step-by-step explanation: