Simplify an expression for the perimeter of the rectangle.
W = 24.6x - 10.4
L = 7x + 3.1

Answer:

D. (x+2)(-8x+70)​

Step-by-step explanation:

-8x^2+54x+140

Factor out -2

-2(4x^2+27x+70)

Factor

-2(x+2)(4x-35)

Option D is the same answer if we multiply -2 in the second term

(x+2) (-8x+70)

Yes, he earns the same amount per hour for the fence because in two hours he earned 15. The pressure washing and deck was 4 hours and every 2 hours he got 15.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

It is given that, Bradley $15 for painting a fence for two hours and 30 dollars for pressure washing the patio and deck for 4 hours.

Bradley $15 painting a fence for two hours, its unit rate is

=$15 / 2 hours

=$ 7.5 per hour

If 30 dollars for pressure washing the patio and deck for 4 hours, the unit rate is

=$ 30 /4 hours

=$ 7.5 / hour

Thus, he earns the same amount per hour for the fence because in two hours he earned 15. The pressure washing and deck was 4 hours and every 2 hours he got 15.

Learn more about the ratio here:

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Answer:

[tex] - 4x + 5 - (6x + 7) = 0\\ - 4x + 5 - 6x - 7 = 0 \\ - 10x - 2 = 0 \\ 10x + 2 = 0 \\ 10x = - 2 \\ x = \frac{ - 2}{10} \\ x = - .2 \\ thank \: you[/tex]

Answer:

A=1633

B=1617

C=1610

D=1626

Step-by-step explanation:

I am not totally sure about 3409 ?

None of the following option sum up to 3400 or close.

Sum is addition

According to the question given we have to determine which of the following is 3409.

A. ( 3 × 104 ) + ( 4 × 103 ) + ( 9 × 101 )

= 312 + 412 + 909.

= 724 + 909

= 1633.

B.  ( 3 × 103 ) + ( 4 × 102 ) + ( 9 × 100 )

= 309 + ......

C. 300 + 400 + 900 not sum up to 3400.

D. 300 + 400 + 900 again not sum up to 3400

So, none of the following options sum up to or sum up close to 3400.

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Answer:

Step-by-step explanation:

Start a little more generally. Carefully find k

distance = k * speed ^2      

112 = k*40^2

112 = k * 1600                     Divide by 1600

112/1600 = k

k = 0.07

Now do the question you are asked to do.

distance = k * speed^2

distance = 0.07 * 65^2

distance = 295.75

Now having done that, you can set up a proportion.

d1 / d2 = k speed1^2/kspeed2^2      Cancel the ks

112/d2 = 40^2 / 65^2                         Cross multiply

112 * 65^2 = 40^2 * d2                      Divide by 40^2

112 * 65^2/40^2 = d2                        Expand the squares

112 * 4225 / 1600 = d2

295.75 = d2    

The second way is shorter, but I suggest the long way until you get comfortable with it.

9514 1404 393

Answer:

  65

Step-by-step explanation:

The six numbers are sequential multiples of 10, so the mean is halfway between the middle two. Halfway between 60 and 70 is 65.

The mean of the 6 numbers is 65.

9514 1404 393

Answer:

  (c)  y = 3|x| + 5

Step-by-step explanation:

The vertex is at (0, 5), so the basic function has been translated up 5 units.

The slope of each line has a magnitude of 3, so the basic function has been scaled vertically by a factor of 3.

The transformation ...

  g(x) = c·f(x) +h

is a vertical scaling by a factor of c, and a translation upward by h units. Here, we have c=3 and h=5. The basic function is f(x) = |x|, so the transformed function shown on the graph is ...

  y = 3|x| +5

9514 1404 393

Answer:

  multiple solutions, see the attachment

Step-by-step explanation:

If you allow any digits 0-9, there are 11 possible solutions. Of these, two have the leading digit O = 0, so you may not agree that is an allowable solution.

Each row in the attachment is a possible solution. (Rows 4 and 10 have O=0.)

__

Found by exhaustive search using a computer program. Note that E=7 and N=1 are not hard to find by hand.

Answer:

The choose A.

y= – | x+1|–4

I hope I helped you^_^

Answer:

3

Step-by-step explanation:

(2 x 6) - 9 = 12 - 9 = 3

Answer:

C. $11.55

Step-by-step explanation:

First, multiply 4 by $0.85 to get an answer of $3.40. Next, multiply 6 by $1.25 to get an answer of $7.50. Add up the cost of the pencils and pens by adding $3.40 and $7.50 to get $10.90. Next, we have to add the tax. Multiply $10.90 by 0.06 to get $.65. Add the $.65 to the $10.90 for a grand total of $11.55. Hope this helps!

Answer:

1833 miles is the total distance if the model airplane.

Answer:

x = 1

Step-by-step explanation:

2/x = 2^(x)

x = 1

hope that helps

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Answer:

  19.3 g/cm³

Step-by-step explanation:

There are 2.54 cm in one inch, so the weight of 1 cm³ is ...

   (316 g/in³) ÷ (2.54 cm/in)³ = 19.3 g/cm³

Answer:

-35

Step-by-step explanation:

-(18+17)

-35

that should be the answer but don't quote me on it

Answer:

x = - 15

Step-by-step explanation:

Givens

The trick is to let the letters =  points of a clock that keeps time this way.

l = 9 oclock

C = 3 oclock

-H= -8

Formula

(x - l) / C = -H

Solution

Substitute the givens into the equation

(x - 9) / 3 = -8                 Multiply both sides of the equation by 3

3*(x - 9)/3 = -8*3            Simplify

(x - 9) = - 24                   Remove  the brackets

x - 9 = - 24                     Add 9 to both sides.

x-9+9 = -24+9               Combine

x =  - 15

Answer:

26) 1/2 b×h

= 1/2(8×9)

=1/2(72)

=36

27)1/2b×h

=1/2(12×15)

=1/2(180)

=90

28)a÷b×2

=(60÷8)×2

=15

29)1/2b×h

=1/2(16×1/2)

=1/2(8)

=4

30)1/2b×h

=1/2(18×12)

=1/2(216)

=108

[tex]\\ \rm\Rrightarrow 5-3(2a+1)=-4+10[/tex]

[tex]\\ \rm\Rrightarrow 5-6a-3=6[/tex]

[tex]\\ \rm\Rrightarrow -6a+2=6[/tex]

[tex]\\ \rm\Rrightarrow -6a=6-2[/tex]

[tex]\\ \rm\Rrightarrow -6a=4[/tex]

[tex]\\ \rm\Rrightarrow a=\dfrac{4}{-6}[/tex]

[tex]\\ \rm\Rrightarrow a=\dfrac{2}{-3}[/tex]

Now

[tex]\\ \rm\Rrightarrow a+2[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{2}{-3}+2[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{2-6}{-3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{-4}{-3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{4}{3}[/tex]

Answer:

7/3

Step-by-step explanation:

5 - 3(2a+1) = -4 + 10

=> 5 - 6a + 3 = 6

=> 5 - 6 + 3 = 6a

=> 2 = 6a

=> 6a = 2

=> a = 2/6

=> a = 1/3

a + 2

1/3 + 2

=> 1/3 + 6/3

=> 7/3

Step-by-step explanation:

2t/r=d cross multiply

2t=rd

t=rd/2

Answer:

Step-by-step explanation:

[tex](-\frac{1}{3} \sqrt{\frac{7}{2} } )^2+(\frac{1}{3} \sqrt{\frac{13}{2} } )^2\\=\frac{1}{9} (\frac{7}{2} +\frac{13}{2} )\\=\frac{1}{9} (\frac{7+13}{2} )\\=\frac{1}{9} \times10\\=\frac{10}{9} \neq 1[/tex]

not a unit vector.

b.

[tex](\frac{1}{\sqrt{3} } )^2+(-\sqrt{\frac{2}{3} } )^2\\=\frac{1}{3} +\frac{2}{3} \\=\frac{1+2}{3} \\=\frac{3}{3} \\=1[/tex]

it is a unit vector.

c.

[tex](\frac{1}{2} \sqrt{\frac{5}{3} } )^2+(-\frac{1}{2} \sqrt{\frac{7}{3} } )^2\\=\frac{1}{4} (\frac{5}{3} +\frac{7}{3} )\\=\frac{1}{4} (\frac{5+7}{3} )\\=\frac{1}{4} (\frac{12}{3} )\\=\frac{1}{4} (4)\\=1[/tex]

it is a unit vector.

d.

[tex](\frac{3}{\sqrt{7} } )^2+(-\frac{2}{\sqrt{7} } )^2\\=\frac{9}{7} +\frac{4}{7} \\=\frac{9+4}{7} \\=\frac{13}{7} \neq 1[/tex]

it is not a unit vector.

Answer:

25

Step-by-step explanation:

Answer:

21 answers.

Step-by-step explanation:

First, change the percentage into a decimal point. Move the decimal point to the left two place values and drop the percentage sign:

70% = 70/100 = 0.70

Next, multiply 0.70 with the total amount of questions (30):

30 x 0.70 = 21

21 answers must be correct.

Check:

Divide 21 with 30:

21/30 = 0.70 = 70%

~

Answer:

105+105+2x=360 and x=75

Step-by-step explanation:

z=75

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  3 48-cent stamps

  9 7-cent stamps

Step-by-step explanation:

The number of 48-cent stamps Amy can use is less than 207/48 ≈ 4.3, so we can find the numbers by trial and error. We want ...

  48a +7b = 207 . . . . . . postage in cents, where a, b are the numbers of stamps

  b = (207 -48a)/7 = 29 4/7 -a(7 -1/7) = (29 -7a) +(a+4)/7

In order for b to be an integer, we must have (a+4) a multiple of 7. The least value of 'a' that will make this true is a=3. That value gives ...

  b = (29 -7·3) +(3+4)/7 = 8 +1 = 9

Amy used 3 48-cent stamps and 9 7-cent stamps.

Answer:

12.7 m

Step-by-step explanation:

use pythagorean theorem

[tex]13^{2} + b^{2} = 18.2^{2}[/tex]

rounds to 12.73735

not fully sure if that's right

Answer:

1 7/8

Step-by-step explanation: