The Hudson family went out to dinner. The meal cost $49.50.
If they also left a 15% tip, approximately how much did the entire dinner cost?
O $7.43
$49.50
O $56.93
O $61.24

Answer:

Simplifed is -3a-7

Step-by-step explanation:

14 – 3(a + 7)

Solve it out-

[tex]-3(a+7)+14\\-3(a) -3(7) \\-3a-21+14\\\\=-3a-7[/tex]

Answer: 440

1200 - 760 = 440

Answer: 440 pounds

Step-by-step explanation:

Answer:

when x=0 then f(x) = -2

when x=1 then f(x) = 3

when x=2 then f(x) = 8

Step-by-step explanation:

you just plug in the x value given to you into the equation (which is 5x-2) so for example:

if x = 0 then:

5x-2 is instead 5(0)-2 which means you multiply 5 and 0 and then substract 2 because you have to follow PEMDAS

PEMDAS is (Parenthesis, Exponents, Multiplication, Division, Addition, Substraction) which is the order of priority to be solved, so you first solve parenthesis, then exponents, then you multiply or divide, and then you add or substract

easy way to remember PEMDAS: Please Excuse My Dear Aunt Sally, OR Please End My Depression And Suffering (my favorite way to remember, don't take that seriously tho >_>)

so because you have to multiply before subtracting you multiply 5 and 0, you get 0, and then you take away 2 which is -2

remember to just plug in your values and then do PEMDAS

hope you learned something :P

Answer:

for the first one rule x6-3:

4=21, 8=45, 5=27, 9=51, 7=39, and 10=57

For the next one:

1=2, 2=4, 3=6, 6=12, 9=18, and 10=20

Step-by-step explanation:

Okayy! Done! The first number is input, the second number is output. So first you have 2 times 4 divided by 2! 3 times 4 divided by 2. Just follow the rule.

Answer:f(x)=-3x+6

Step-by-step explanation:

Answer:

A. f(x)=-3x+6

Step-by-step explanation:

Answer:

2/3r + p

Step-by-step explanation:

2/3r + 4/3p - 1/3p

combine like terms, terms with like coefficients can be combined, terms that do not have like coefficients cannot be combined

coefficient- the variable that a number is multiplied by

2/3r + 4/3p - 1/3p

combine

2/3r + 3/3p

or

2/3r + p

Answer:

Hi there!

That is an example of the commutative property of addition! It states that changing the order of addends does not change the sum.

Hope this helps

Answer:

257

Step-by-step explanation:

Let the number of Adults = x

Number of senior citizens = y

Number of children = z

x + y + z = 670 tickets

The Family Arts Center charges $22 for adults, $13 for senior citizens, and $5 for children for their live performance on Sunday afternoon.

$22 × x + $13 × y + $5 × z = $8526

22x + 13y + 5z = 8526

There were 49 more children than adults.

z = x + 49

x + y + z = 670 tickets

x + y + x + 49 = 670

2x + 49 + y = 670

y = 670 - 2x - 49

We substitute

22x + 13y + 5z = 8526

22x + 13(670 - 2x - 49) + 5(x + 49) = 8526

22x + 8710 - 26x - 637 + 5x +245 = 8526

22x + 5x - 26x + 8710 - 637 + 245 = 8526

x + 8318 = 8526

x = 8526 - 8318

x = 208

The number of Adults = 208

The number rod children is calculated as:

z = x + 49

z = 208 + 49

z = 257

The number of children = 257

Answer: It may be 14k - 4

Step-by-step explanation:

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[tex]D(t) = 2280 - 60t[/tex]

[tex]D(15) = 2280 - 60(15)[/tex]

[tex]D(15) = 2280 - 800[/tex]

[tex]D(15) = 1480[/tex]

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Answer:

1380

Step-by-step explanation:

d(t)=2280-60t

d(15)=2280-60(15)

2280-900

=1380

Answer:

262, 440

Step-by-step explanation:

40 x 3^8

40 x 6561

262, 440

Answer:

x=1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

the unit rate is 1.33$ per pound of apples

Step-by-step explanation:

you can rewrite the word problem as

3x = 3.99.

now just divide both sides by 3.

3x / 3 = 3.99/3

x = 1.33

Given:

Malik's arts and crafts shop has a bolt of crimson velvet 32 meters long.

Velvet purchased by first customer = 120 centimeters

Velvet purchased by second customer = 14 meters

To find:

The remaining velvet in Malik's shop.

Solution:

We know that,

1 meter = 100 cm

Using this conversion, we get

32 meter = 3200 cm

14 meter = 1400 cm

Now,

Remaining velvet in Malik's shop = (3200 - 120 - 1400) cm

                                                    = 1680 cm

Therefore, the remaining velvet in Malik's shop is 1680 cm.

Answer:

[tex]\frac{22}{3}[/tex] = b

or

7[tex]\frac{1}{3}[/tex] = b

(they are the same value, just different ways of writing it)

Step-by-step explanation:

4 = -[tex]\frac{2}{3}[/tex] (5) + b

simplify

4 = -[tex]\frac{10}{3}[/tex] + b

now use inverse operations

4 = -[tex]\frac{10}{3}[/tex] + b

+[tex]\frac{10}{3}[/tex]  +[tex]\frac{10}{3}[/tex]

[tex]\frac{22}{3}[/tex] = b

Answer:

Step-by-step explanation:

20 + 16

= 4 (5 + 4)

= 4(5) + 4(4)

= 20 + 16

therefore, the answer is 4 (5 + 4)

Answer:

Lemon juice / water  =  12,5 / 47,5  or 26,31 %

Step-by-step explanation:

First step:

We got  60 liters. of water and we replace 15 liters. of water and add 15 liters of lemon juice, then our mixture is:

60 lts. of mixture       ⇒ with      45 lts. is water   and 15 lts. is lemon juice

The proportion of the mixture  

each liter of the mixture is   0,75 lts. of water and 0,25 of lemon juice

2 step

Removing 10 lts. of mixture implies

10 lts of mixture    means    7,5 lts. of water and 2,5 lts. of lemon juice

then we have

50 lts. of mixture     with   (45 - 7,5 = 37,5 lts.) of water and (15 - 2,5 = 12,5 ) lts. of lemon juice

third step

Addind 10 lts. of water:

60 lts. of mixture  with  ( 37,5 + 10 = 47,5) lts. of water and 12,5 lts. of lemon juice

Final mixture is

60 lts. of mixture with   47,5 lts. of water  and 12,5 lts. of lemon juice

Proportion

Lemon juice / water  =  12,5 / 47,5    or  26,32 %

Step-by-step explanation:

Solution,

since two of these triangle are similar so,

i) LK/LJ=MN/NO

or,j/8=18/12

or,j=18×8/12

.°. j = 12m

ii)JK/JL=MO/NO

or,10/8=n/12

or,120/8=n

.°.n=15m

Transformation involves changing the size and position of a figure.

The new coordinates of the figure is:

[tex]\mathbf{F" = (-6,0)}[/tex]

[tex]\mathbf{G" = (2,2)}[/tex]

[tex]\mathbf{H" = (-2,0)}[/tex]

The coordinates are given as:

[tex]\mathbf{F = (-9,-9)}[/tex]

[tex]\mathbf{G = (3,-6)}[/tex]

[tex]\mathbf{H = (-3,-9)}[/tex]

When the figure is dilated by 2/3, the new coordinates are:'

[tex]\mathbf{F' =\frac 23 \times (-9,-9) = (-6,-6)}[/tex]

[tex]\mathbf{G' =\frac 23 \times (3,-6) = (2,-4)}[/tex]

[tex]\mathbf{H' =\frac 23 \times (-3,-9) = (-2,-6)}[/tex]

When the figure is further translated up by 6 units, the new coordinates are:

[tex]\mathbf{F" = (-6,-6 + 6) = (-6,0)}[/tex]

[tex]\mathbf{G" = (2,-4 + 6) = (2,2)}[/tex]

[tex]\mathbf{H" = (-2,-6 + 6) = (-2,0)}[/tex]

Hence, the new coordinates are:

[tex]\mathbf{F" = (-6,0)}[/tex]

[tex]\mathbf{G" = (2,2)}[/tex]

[tex]\mathbf{H" = (-2,0)}[/tex]

Read more about transformation at:

https://brainly.com/question/11707700

Answer:

F is (-6,0) and G is (-2,2) and H is (-2,0) I'm only putting my answer too because the other person said 2,2 and its -2,2

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

Answer:

{x = 3, x = 4/5 + i(3/5), x = 4/5 - i(3/5)}

So B

Answer:

B

Step-by-step explanation:

B is the only choice that fails the vertical line test. A line basically touches 2 points on choice B. It can only touch 1.

Answer:

0.42

Step-by-step explanation:

multiply .6 by .7

Answer: -3.125

Step-by-step explanation: -1.25 x 2.5 = -3.125.

Answer:

[tex]d=\sqrt{593}[/tex]

Step-by-step explanation:

Distance Between two Points in the Plane

Given two points A(x,y) and B(w,z), the distance between them is:

[tex]d=\sqrt{(z-y)^2+(w-x)^2}[/tex]

We are given the points (5, 14) and (−3, −9). Substituting into the formula:

[tex]d=\sqrt{(-9-14)^2+(-3-5)^2}[/tex]

[tex]d=\sqrt{(-23)^2+(-8)^2}[/tex]

[tex]d=\sqrt{529+64}[/tex]

[tex]\boxed{d=\sqrt{593}}[/tex]