The price of a microwave is $85. The sale tax is 7%. What is the total cost of the microwave?

Answer: 14 red, 7 green, 44 blue

Step-by-step explanation:

First, use the letter r as a variable to represent the number of red Legos. The number of green Legos (g) is 7 less than the number of red Legos, or g = r-7. The number of blue Legos (b) is 2 more than 3 times the number of red Legos, or b = 3r+2. The total number of Legos is the number of red + green + blue Legos, which can be represented as 65 = r+g+b.

Substitute the equations for g and b in. This should give you a final equation of 65 = r+(r-7)+(3r+2). To solve for the number of red Legos, first add up all of the terms to get 65 = 5r-5. Now add 5 to each side (70 = 5r). Finally, divide each side by 5 (r = 14).

To find the number of green Legos, substitute the number of red Legos (14) into the equation for the green Legos (g = r-7). This should get you the equation g = 14-7 which simplifies to g = 7.

To find the number of blue Legos, substitute the number of red Legos (14) into the equation for the blue Legos (b = 3r+2). This gives you the equation b = (3*14)+2. First, multiply 3 and 14 to get b = 42+2. Finally, add them together to get b = 44.

Answer:

B

Step-by-step explanation:

12x + 300 = 450

hope this helps

Answer:

132 units squared

Step-by-step explanation:

To start we can find the area of the rectangle, to do that we need to do

12*6=72

then we can find the area of the triangle, the formula to find a triangle's area of (b*h)/2, so we can do that

(10*12)/2=60

then we can add them together

72+60=132

Answer: 90

Step-by-step explanation:

Triangle=60

square=36

Now add them!

60+36=96

Hope This Helps You!!!

Have a great day!!!

Answer:

Expression 2b+b and 3b have same values for all values of b.

Step-by-step explanation:

Given the two expression 2b+b2b+b and 3b3b and values of b as 1, 2 and 3.

Consider first expression that is, 2b+b2b+b .

Substituting the value of b=1b=1 ,

2\left(1\right)+\left(1\right)=2+1=32(1)+(1)=2+1=3 ....1

Substituting the value of b=2b=2 ,

2\left(2\right)+\left(2\right)=4+2=62(2)+(2)=4+2=6 ....2

Substituting the value of b=3b=3 ,

2\left(3\right)+\left(3\right)=6+3=92(3)+(3)=6+3=9 ....3

Consider second expression that is, 3b3b .

Substituting the value of b=1b=1 ,

3\left(1\right)=33(1)=3 ....4

Substituting the value of b=2b=2 ,

3\left(2\right)=63(2)=6 ....5

Substituting the value of b=3b=3 ,

3\left(3\right)=93(3)=9 ....6

For value of b=1, equation 1 and equation 4 are same, for value of b=2, equation 2 and equation 5 are same and for value of b=3 equation 3 and equation 6 are same.

Therefore both expression are same for all values of b.

Step-by-step explanation:

Hope it helps you!

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I'm willing to help you

Answer:

Step-by-step explanation:

Did you try adding it all up and combine the like terms to get your answer

Answer:497.76

Step-by-step explanation:

[tex]{ \large{ \sf{ \implies{(8 {}^{ \frac{2}{3} }) {}^{4} }}}}[/tex]

[tex]{ \large{ \sf{ \implies( \sqrt[3]{8} {}^{2} ) {}^{4} }}}[/tex]

[tex]{ \large{ \sf{ \implies{{(2 {}^{2} ) {}^{4} }}}}}[/tex]

[tex]{ \large{ \implies{ \sf{4 {}^{4} }}}}[/tex]

[tex]{ \large{ \therefore{ \sf{256} \: \: ans.}}}[/tex]

Answer:

I think D

Step-by-step explanation:

I am not sure sorry

Answer:

Step-by-step explanation:

that options given seem wrong but what do i know thats just difficult dude im just in the 4th grade

Answer:

4th option

Step-by-step explanation:

let y = f(x) , then rearrange making x the subject, that is

y = 4x ( divide both sides by 4 )

[tex]\frac{1}{4}[/tex] y = x

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = h(x) = [tex]\frac{1}{4}[/tex] x

Answer:

[tex]\boxed {\boxed {\sf 22a-14b}}[/tex]

Step-by-step explanation:

We are given this expression:

[tex]17a-10b+5a-4b[/tex]

We are asked to simplify. For this expression, we will need to combine like terms. Like terms are terms with the same variable. In this expression, there are 2 variables: a and b. Use the commutative property of addition to move the like terms together.

[tex](17a+5a)+(-10b+ -4b)[/tex]

Add inside the parentheses.

[tex]22a+ (-10b+-4b)[/tex]

A positive next to a negative, like +- becomes a negative.

[tex]22a+ (-10b-4b)[/tex]

[tex]22a+ -14b \\22a-14b[/tex]

The expression 17a-10b+5a-4b is equal to 22a-14b.

Answer:

part A) rearrange the equations to form simultaneous equations:

y-7x=8

y-5x=-2

now eliminate the y values by minusing the two equations:

(y-7x=8)-(y-5x=-2)

to get:

-2x=-6

x=3

now substitute x into one of the equations to get y:

y=5x-2

y=15-2

y=13

[tex]x = 3 \\ y = 13[/tex]

part B) the lines will intercept at (3, 13)

Step-by-step explanation:

hope this helps!

Answer:

Step-by-step explanation:

Distance from starting point = 8 + 12 = 20km

ok screw it i need to sneep i can't even do simple addition its too late

sorry

-cheesetoasty

Answer:

100%

Step-by-step explanation:

Assuming Zoe throws a dart at a target 9 times. The relative frequency of Zoe hitting the bullseye is 100%.

Relative frequency=Number of times a dart is throwed/Number of times the bullseye is hits×100

Where:

Number of times a dart is throwed=9 times

Number of times the bullseye is hits=9 times

Let plug in the formula

Relative frequency=9/9×100

Relative frequency=100%

Inconclusion the relative frequency of Zoe hitting the bullseye is 100%.

Learn more about relative frequency here:https://brainly.com/question/3857836

Answer:

11 and 3

Step-by-step explanation:

11x2 = 22

3x2 = 6

6+22=28

Answer:

its C  (Species diversity)

Step-by-step explanation:

Answer:x=8

Step-by-step explanation:

x²-3x=-3x+64

- Add 3x to both sides

x²-3x+3x=-3x+3x+64

= x²=64

- Square both sides

√x²=√64

x=±8

- Since the question is asking for the positive value of x, the answer is 8.

Answer:

C) 10 inches

Step-by-step explanation:

I think the simplest way to do this is as follows:

divide 75 by 15 to get how many times you need to multiply 2in by

75/15=5

since 15(5)=75 or the actual size of the airplane,

2(5)=10 which is the size of the model airplane

Answer:

z equals 13 yeeeeeeeeetttttttttttttt I hopppppeeeee thhhhhaaaaatttttt heeeeelllllllpppppppsssssss

Answer:

3

Step-by-step explanation:

A triangle has two sides of length 17 and 19. What is the smallest possible whole-number length for the third side?

To solve for the above question, a rule applies.

The rule states that:

The sum of any 2 sides must be greater than than the third side.

The possible values for the third side are

19 - 17 < x < 19 + 17( x is the third side )

2 < x < 36

Thus the smallest possible whole number is 3

Answer:

So for 0

0*1/3 = 0

6*1/3= 2

12*1/3= 4

Step-by-step explanation:

An equation is formed of two equal expressions. The value of y when the value of x is 0, 6 and 12 is 0, 2, and 4, respectively.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given the statement that "y is 1/3 times as large as x", therefore, the rule can be written as,

y=(1/3)x

Now, the value of y for different value of x can be written as,

1.) When x=0

    y = (1/3)x

    y = (1/3)(0)

    y = 0

2.) When x=6

     y = (1/3)x

     y = (1/3)(6)

     y = 2

3.) When x=12

    y = (1/3)x

    y = (1/3)(12)

    y = 4

Hence, the value of y when the value of x is 0, 6 and 12 is 0, 2, and 4, respectively.

Learn more about Equation here:

https://brainly.com/question/14686792

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Answer:

1/9

Step-by-step explanation:

slope = rise/run

slope = (-3--4)/(7--2)=1/9

Answer:

b. x=3

Step-by-step explanation:

i hope this helps :)

Answer:

4x+20=6x+14

Step-by-step explanation:

20=2x+14

6=2x

3=x

Arthur should leave a $28.26 tip

Answer:

34

Step-by-step explanation:

just because its 34  add my

Answer:

25

Step-by-step explanation:

3a=30... equation 1

2a+2b=30... equation2

equation 2 => a+b=15 ... equation 3

equation 1 => a = 10 ... equation 4

equation 4 & equation 3 => b = 5

5^2 = 25

Answer:

20 cm

Step-by-step explanation:

triangle

30/3=10=a

rectangle

30-20=10/2=5=b

square

4 times 5=20