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

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:

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:

1 7/8

Step-by-step explanation:

9514 1404 393

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:

1833 miles is the total distance if the model airplane.

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:

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.

Answer:

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

Step-by-step explanation:

z=75

Answer:

Step-by-step explanation:

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:

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

Answer:

x = 1

Step-by-step explanation:

2/x = 2^(x)

x = 1

hope that helps

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)

Step-by-step explanation:

2t/r=d cross multiply

2t=rd

t=rd/2

Answer:

The choose A.

y= – | x+1|–4

I hope I helped you^_^

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

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:

brainly.com/question/13419413

#SPJ2

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:

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

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:

  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.

[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

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.

learn more about simplifying expressions here :

https://brainly.com/question/18077352

#SPJ2

Answer:

-35

Step-by-step explanation:

-(18+17)

-35

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

Answer:

3

Step-by-step explanation:

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

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]