(1.6x+1.8)÷2.4−0.8=4.2

Answer:

x = 3 and x = -3

Step-by-step explanation:

/x/ - 8 = -5

Add 8 to both sides

/x/ -8 + 8 = -5 +8

/x/ = 3

/ x / will be always positive as it is absolute value of x. So, x = 3 & x= -3

Answer:

[tex]-(3x+2)(x+1)[/tex]

Step-by-step explanation:

So we have the polynomial:

[tex]-3x^2-5x-2\\=-(3x^2+5x+2)[/tex]

(I moved the negative to the outside. This is optional, but it makes things cleaner and you will have to do it eventually.)

This is a quadratic. To factor this, we need to find two numbers p and q such that:

[tex]p\cdot q=ac\\p+q=b[/tex]

From there, we can substitute these numbers in for b.

From the quadratic, a=3, b=5, and c=2. We ignore the negative sign.

In other words, ac=6 and b=5.

After guessing and checking, two numbers that work are 3 and 2 since 3(2)=6 ad 3+2=5. We substitute these values in for b. So:

[tex]-(3x^2+5x+2)\\-(3x^2+3x+2x+2)\\=-(3x(x+1)+2(x+1))\\=-(3x+2)(x+1)[/tex]

Answer:

Step-by-step explanation:

5 * 45 = 225

225+75=300

300/500=0.6

The tank will be 60% full.

If this helped, make sure to mark it as brainliest :D

Answer:

C.60%

Step-by-step explanation:

45 x 5 = 225  225 + 75 = 300

300 / 500 = 0.6 = 60%

Answer:

11 hours

Step-by-step explanation:

First, you have to subtract 144-52= 92. After the initial fee, she has 92 dollars to spend on the car. Then, you divide 92 by 8 because it costs 8 dollars an hour. And this gets you 11.5 which you would have round down because she can't pay for the extra hour. She does not have enough money.

Answer:

The expression will be simplified into [tex]26x^4y^3+35xy^6-42xy^5\\[/tex]

Step-by-step explanation:

It's like addition, when you multiply exponents that are on the same bases as each other.

Answer:

y = -9/5x + 9/5

Step-by-step explanation:

From this points, we can determine the slope and the y-intercept.

First, we do:   y/x  -  y1/x1

=> 0/3 - (3 - 2)

=> 0-3/ 3 + 2

=> -3/5

So the slope of the equation is -3/5.

The equation is: y = mx + b

In this equation "m" = slope.

=>  b = constant

Now we take the x and y points from the above numbers.

=> Let's take 3 as x and 0 as y.

=> 0 = -3/5 *3 + b

=> 0 = -9/5 + b

=> Take the -9/5 to the other side

=> 9/5 = b

So, the constant number which is not multiplied by the x is 9/5

Now, our equation looks like:

y = -9/5x + 9/5

If you have any doubts about this question, ask me the comments and I will answer it as soon as possible.

Answer:

The correct option is;

A.) A dilation by a scale factor of two-fifths and then a translation of 3 units up

Step-by-step explanation:

The given information are;

Square S undergoes transformation into square S'

From the figure, the dimension of S' = 2/5 dimension of S

Therefore, the scale factor of the dilation is two-fifths

The center of dilation = The origin

Therefore, given that the top right edge of S is at the center of dilation, the initial location of the dilated figure will be (0, 0), (2, 0), (2, -2), and (0, -2)

Given that the lowermost coordinates of S' are (0, 1) and (2, 1), and the lowermost coordinates of the initial dilation are (0, -2) and (2, -2), we have that the translation to S' from the initial dilation is T (0 - 0, 1 - (-2)) = T(0, 3) which is 3 units up.

Answer:

A

Step-by-step explanation:

Answer:

x(x-3) ( x+4)

Step-by-step explanation:

  2               5

---------- + ------------

x^2 -3x     x^2 + x - 12

Factor the denominator

  2               5

---------- + ------------

x(x -3)     (x-3) (x+4)

The common denominator is

x(x-3) ( x+4)

Answer:

A

Step-by-step explanation:

If you play around with each of the answers, you'll find that 13*10=130 (where $13 is the cost of each of 10 senior tickets) plus 5*8=40 (where $5 is the cost of each of 8 child tickets) equals $170.

Hope this helps!! <3

The price of a senior citizen and child ticket is required.

The correct option is A) senior citizen ticket: $13, child ticket: $5

Let [tex]x[/tex] be the price of senior citizen ticket

[tex]y[/tex] be the price of child ticket

The equations will be

[tex]10x+8y=170[/tex]

[tex]10x+11y=185[/tex]

Subtracting the equations

[tex]-3y=-15\\\Rightarrow y=\dfrac{-15}{-3}\\\Rightarrow y=5[/tex]

Finding [tex]x[/tex]

[tex]10x+8y=170\\\Rightarrow x=\dfrac{170-8y}{10}=\dfrac{170-8\times 5}{10}\\\Rightarrow x=13[/tex]

Learn more about system of linear equations:

https://brainly.com/question/14323743

Answer:

7 and 37

Step-by-step explanation:

Imagine our 3rd side becoming smaller and smaller. In the ultimate case the triangle will be a flat line, and the two other lines overlap. The third line will have to be 7, to get from 15 to 22 (22-15=7).

Likewise, if the line increases and increases, again you'll endup with a flat line, but now the two otherlines will span the entire third line, so its length is the sum, i.e., 15+22 = 37

Answer:

E. 88 inches squared

Step-by-step explanation:

First we will calculate the total area(including the area of the picture):

Step 1(Finding dimensions of frame): 10+2+2=14 and 8+2+2=12

Step 2(Finding total area): 12 * 14 = 168

Now we will find the area of the picture and subtract it from the total area to get the area of the frame:

A= 8*10= 80

168 -80 =88 inches squared

Hope this helps!

Answer:

E(88)

Step-by-step explanation:

first find the area of the photograph : 8*10=80 square inches

the length of the whole frame in including the photograph is:

8+2 inches+2 inches=12 inches

the width is 10+2+2=14 inches

the area of the whole frame=12+14=168 inches square

the area of the border=168-80=88 inches square

Answer:

6 km

Step-by-step explanation:

Let us assume the following items

the Point at Train depot = T

The Point at Main gate =  M

The Point at Bird sanctuary =  B

The Point at Elephant house = E

The Point at manatee Springs =  S

As we can see that there are two triangles namely TMB and TSE.

Mentioned that

MTB = ∠STE

∠TMB = ∠TSE

∠TBM = ∠TES.

According to the Angle-angle-angle (AAA similarity)

So, the triangles TMB and TSE are the same.

[tex]\frac{TM}{TS} = \frac{TB}{TE} \\\\ \frac{TM}{4,200} = \frac{2,000}{3,500}[/tex]

So, the TM is 2400 yds

Now the Distance between Main gate M and manatee Spring S is

MS = MT + TS

= 2,400 + 4200

= 6600 yds

Now the MS is

= 6600 × 0.0009144 km

= 6.035 km

≅ 6 km

Answer:

Yes, they started with equal expressions.

Step-by-step explanation:

To simplify Vanessa's expression, we must rationalize the denominator.  This means we must make the denominator x.

We need to multiply the denominator by x^(1/6) to make a whole x; this means we must multiply the numerator by x^(1/6) as well:

Answer:

Answer A does not represent a function(I think)

Step-by-step explanation:

Because the Y-coordinates are the same.

Answer:

m∠F = 20.6°

Step-by-step explanation:

In the given right triangle ΔHGF,

∠G = 90°

By applying tangent rule in the triangle,

tan(∠F) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

            = [tex]\frac{\text{HG}}{\text{GF}}[/tex]

            = [tex]\frac{3}{8}[/tex]

            = 0.375

m∠F = [tex]\text{tan}^{-1}(0.375)[/tex]

        = 20.556°

        = 20.6°

Therefore, measure of angle F is 20.6°

Answer:

See below.

Step-by-step explanation:

[tex](6a+3b)(a-b)\\[/tex]

Distribute:

[tex]=(6a+3b)(a)-(6a+3b)(b)\\=6a^2+3ab-(6ab+3b^2)\\=6a^2+3ab-6ab-3b^2\\=6a^2-3b^2-3ab[/tex]

Answer:

6a^2-3b^2-6ba+3ba

Step-by-step explanation:

(6a+3b)(a+b)....expand the term

6axa - 6axb + 3bxa - 3b×b ....simplify

6a^2 - 6ba + 3ba - 3b^2, then reorder so highest order terms come first

6a^2 - 3b^2 - 6ba + 3ba

Answer:

187

Step-by-step explanation:

2*89=178

178+2=180

180-63=117

117+70=187

Answer:

47

Step-by-step explanation:

You'd have to follow PEMDAS.

First we multiply:

89*2=178.

Now we add:

178+2=180

AND

63+70=133.

Finally, we subtract:

180-133=47.

Hope this helps!! <3

Answer:

your answer is A 3 inches

Answer:

266.67 feet^2.

Step-by-step explanation:

The scale is 1:40.

That means that if the scale has a width of 4 inches, the room will have a width of 4 * 40 = 160 inches. 160 / 12 = 80 / 6 = 40 / 3 feet.

The length in the model is 6 inches, so the room has a length of 6 * 40 = 240 inches. 240 / 12 = 120 / 6 = 60 / 3 = 20 feet.

The area will then be (40 / 3) * 20 = 800 / 3 = 266.67 feet^2.

Hope this helps!

Answer:

a. 530 ..I think.. i'm pretty sure

Step-by-step explanation:

40*26.5 is 1060

1060/2=530

area=530

Answer:

-5/6

Step-by-step explanation:

a number is x

then two lots will be 2 x

five more will be 2x+5

then tripled so 3(2x+5)

will equal 10

Answer: [tex]-\frac{5}{6}[/tex]

Step-by-step explanation:

3(2x+5)=10

Distribute

6x+15=10

Subtract 15

6x=-5

x = -5/6

Hope it helps <3

Answer:

11

Step-by-step explanation:

|a−b| − |c+d|

Let = a=−5; b=4; c=1; d=−3

|-5−4| − |1+-3|

|-9| − |-2|

Absolute values means take the non-negative value

9 + 2

11

Answer:

7

Step-by-step explanation:

| a - b | - | c + d |

Plug in the values for the variables.

| -5 - 4 | - | 1 + -3 |

Evaluate.

| - 9 | - | -2 |

Apply rule : | -a | = a

9 - 2

Subtract the numbers.

= 7

Answer:

Hey there!

(2x-6)(x+1)

2x^2-6x+2x-6

2x^2-4x-6

Hope this helps :)

Answer:

2x^2 -4x-6

Step-by-step explanation:

(2x-6)(x+1)

FOIL

first: 2x*x = 2x^2

outer: 2x*1 = 2x

inner: -6*x = -6x

last: -6*1 = -6

Add them together

2x^2 +2x-6x-6

Combine like terms

2x^2 -4x-6

Answer:

I thinks it's B.not sure...

The deviation of the mean between the sample is less in option B.

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in variation.

The mean is the numerical normal of a bunch of at least two numbers. The number juggling means and the mathematical mean are two sorts of implications that can be determined.

If the deviation of the mean between the sample is more, then the deviation will be more.

Let's check all the options.

A. 12, 14, 13, 14, 12, 13, 12

The mean is calculated as,

Mean = (12 + 14 + 13 + 14 + 12 + 13 + 12) / 7

Mean = 12.86

B. 1,6,3, 15, 4, 12,8

The mean is calculated as,

Mean = (1 + 6 + 3 + 15 + 4 + 12 + 8) / 7

Mean = 7

C. 20, 21, 23, 19, 19, 20, 20

The mean is calculated as,

Mean = (20 + 21 + 23 + 19 + 19 + 20 + 20) / 7

Mean = 20.28

D. 3,4,3, 4, 3, 4, 3

The mean is calculated as,

Mean = (3 + 4 + 3 + 4 + 3 + 4 + 3) / 7

Mean = 3.43

The deviation of the mean between the sample is less in option B.

More about the standard deviation link is given below.

https://brainly.com/question/12402189

#SPJ2

Answer:

Step-by-step explanation:

g(x) = 2x³ - 3x + 5

To find g(- 2) substitute the value of - 2 into g(x)

That's

g(- 2) = 2(-2)³ - 3(-2) + 5

= 2(-8) - 3(2) + 5

= - 16 - 6 + 5

Hope this helps you

Answer:

(-4,-7)

Step-by-step explanation:

Use the online graphing calculator called Desmos. That's what I did. Just input the two equations and it'll show you the completed graph. I hope this help you:)

Subtract base fee from total then divide by price per mile:

115.58 - 15.99 = 99.59

99.59 / 0.79 = 126.063 miles

Round the answer as needed.

Answer:

The answer is 11.

by using cosine rule we can easily get the answer of this question.

I hope it will help u....

Answer:

No, it doesn't make sense because the output is not feasible.

Step-by-step explanation:

We are told that the function g(x) represents the number of items collected.

Now, we are also told that x is the number of people who donated.

Now, if we want to consider a possible solution of (60, 10) .

It means, we now have; g(60) = 10

This means that 60 people donated and 10 items were collected.

It doesn't make sense that 60 people donated items and only 10 items were available to be collected.

Thus, we can say that ;

No, it doesn't make sense because the output is not feasible.