The receipt shows the prices of goods that Mr. Baker bought at the store.
The state Mr. Baker lives in has a sales tax rate of 7% on all purchases.

How much money does Mr. Baker pay in sales tax and what is the total amount he must pay for his purchases?

and have a happy new year!

or, l + b = 22

or, b = 22 - l ...(i)

or, 22l - l^2 -72 = 0

or, l^2 - 22l + 72 = 0

or, l^2 - 4l - 18l + 72 = 0

or, l(l - 4) - 18(l - 4) = 0

or, (l - 4)(l - 18) = 0

or, l = 4 or l = 18

Answer:

B) 4 inches and 18 inches.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

3x+1 and x+5 are the factors

Step-by-step explanation:

Here's the slide-and-divide method to find the factors:

[tex]3x^2+16x+5[/tex]

[tex]\frac{3x^2}{3}+16x+5(3)[/tex]

[tex]x^2+16x+15[/tex]

[tex](x+1)(x+15)[/tex]

[tex](3*x+1)(x+\frac{15}{3})[/tex]

[tex](3x+1)(x+5)[/tex]

To find the distance between the homes of Tom and Jimmy, it is assumed

that the distances from their home to the café are equal.

Reasons:

The direction in which Tom and Jimmy walks = Towards each other

The speed at which Tom walks = 52 meters per minute

The speed with which Jimmy walks = 70 meters per minute

The time at which Tom leaves = 4 minutes earlier than Jimmy

The point at which they meet = The café

The rate of their speed = Constant

Required:

The distance between Tom and Jimmy home.

Solution:

Tom and Jimmy had a plan to walk at the same speed and meet up at the café.

We have;

The café is equal distance from Tom and Jimmy's houses.

Which gives the following simultaneous equation.

52 × (4 + t) = The distance of Tom's house from the café

70 × t = The distance of Jimmy's  house from the café

52 × 4 = 70 × t - 52 × t = 18 × t

[tex]\displaystyle t = \frac{52 \times 4}{18} = \frac{104}{9} = 11.\overline{6}[/tex]

The time it take Jimmy to reach the café, t = [tex]\mathbf{11.\overline6}[/tex] minutes

The distance between their homes, d = 52 × (4 + t) + 70 × t

∴ d = 52 × (4 + [tex]11.\overline6[/tex]) + 70 × [tex]11.\overline6[/tex] = 1,617.[tex]\mathbf{\overline 7}[/tex]

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Answer:

27.6

Step-by-step explanation:

sin29=x/57

0.48480962=x/57

x≈27.6

Step-by-step explanation:

3.52 =

3

+ 0.5

+ 0.02

hopes this helps you

Answer:

45 percent

Step-by-step explanation:

Have an awesome day!

Answer: B

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer: 4

Step-by-step explanation: 108/3 is 36, 36/3 is 12, and 12/3 is 4. :)

The different programs (in terms of order) that can be arranged is 120 different ways

Since we are dealing with arrangements, this is a permutation problem.

If there are three bands and two comics performing at a show, the total band will be 5 bands

The number of different programs that can be arranged will be 5!

5! = 5 * 4 * 3 * 2

5! = 60 * 2

5! = 120 ways

Hence the different programs (in terms of order) that can be arranged is 120 different ways

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Answer:

You:If it’s was 6 cups of citric I’d be to 32 water

Your friend: if it was 4 cups it’d be 12 water

Step-by-step explanation:

I believe your friends is more acidic because your Is being diluted more

The remainder when the polynomial is divided by x + 1 is 2

Given the function P(x)=3x^4 −2x^3 +2x^2 −1, to get the rmainder if the polynomial is divided by x + 1, we will substitute x = - 1 into the function to have:

P(-1) = 3(-1)^4 −2(-1)^3 +2(-1)^2 −1

P(-1) = 3(1) - 2 + 2(1) - 1

P(-1) = 1 + 1

P(-1) = 2

Hence the remainder when the polynomial is divided by x + 1 is 2

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Answer:

6

Step-by-step explanation:

:)

Answer: x=3

Step-by-step explanation:

Hence, the inequality is x > -4/3.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

x > - [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

7x + 8 > 4x + 4 ( subtract 4x from both sides )

3x + 8 > 4 ( subtract 8 from both sides )

3x > - 4 ( divide both sides by 3 )

x > - [tex]\frac{4}{3}[/tex]

Answer:

0.3

Step-by-step explanation:

total:16.3

20*0.8=16 (amount she will use)

16.3-16=0.3

Time needed to type 400 words is 13.3 minutes.

A unit rate means a rate for one of something.

Given that, you are taking a typing class and can now type 30 words per minute.

For 30 word, you need 1 minute.

Let you need x minutes for 400 words,

Therefore, the proportion will be,

1/30 = x/400

x = 400/30

x= 40/3

x = 13.33333 ≈ 13.3

Hence, you need 13.3 minutes to type 400 words.

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The polynomial [tex]3x^2+x-6x+3[/tex] is a prime because it is not factorized further and this can be determined by using the factorization method.

Check all the options in order to determine the given polynomial is prime or not.

A) [tex]x^4+3x^2-x^2-3[/tex]

Now, try to factorize the above polynomial.

[tex]x^4+3x^2-x^2-3=(x+1)(x-1)(x^2+3)[/tex]

The given polynomial is factorized further therefore, this polynomial is not a prime.

B) [tex]x^4-3x^2-x^2+3[/tex]

Now, try to factorize the above polynomial.

[tex]x^4-3x^2-x^2+3=(x+1)(x-1)(x^2-3)[/tex]

The given polynomial is factorized further therefore, this polynomial is not a prime.

C) [tex]3x^2+x-6x-2[/tex]

Now, try to factorize the above polynomial.

[tex]3x^2+x-6x-2=(3x+1)(x-2)[/tex]

The given polynomial is factorized further therefore, this polynomial is not a prime.

D)  [tex]3x^2+x-6x+3[/tex]

The given polynomial is not factorized further therefore, this polynomial is is a prime.

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Answer:

It is 22

Step-by-step explanation:

Answer:

this is hard

Step-by-step explanation:

Answer:

it is not

Step-by-step explanation:

0.33 is rounded off whereas 1/3 would have a continued decimal of 3, i.e. 0.333333333

Answer:

D

Step-by-step explanation:

Answer: The answer is 120(-3)= -360

Step-by-step explanation:

A. P. E. X.

Answer:

B. a×1

Step-by-step explanation:

This is because a×1 gives a result of a thus,a multiplying the identity element of multiplication

Answer:

a = 19.6 (rounded to the nearest tenth)

Step-by-step explanation:

a^2 + b^2 = c^2

Hypotenuse - 35 m, Legs - 29 m, x

a^2 +29^2 = 35^2

a^2 + 841 = 1225

Subtract 841 from both sides

a^2 = 384

Square root both sides

√a^2 = √384

a = 19.595

Answethe answer is 12

Step-by-step explanation

Answer:

13 i think

Step-by-step explanation:

if x is 4 and you div then it become 3 then you square the other 3 thats 9 then you add and boom its 13

Answer: ~9.51 kilograms each.

Step-by-step explanation: 723/76=9.5131

Answer:

6) y=-2

7) w=15

8) x=1

7/8 minus1/4 minus 1/2

7/8 - 1/4 - 1/2 =

(1 × 7)/(1 × 8) - (2 × 1)/(2 × 4) - (4 × 1)/(4 × 2) =

7/8 - 2/8 - 4/8 =

(7 - 2 - 4)/8 =

1/8

the answer is 1/8

The coefficient in this expression is 34.

The first option is the correct answer.

The variable can have any value. That is, you can change the value of the variable. The value of the coefficient does not change, but changes in the value of the variable can change the value of the term containing the variable and the coefficient.

In formulas, coefficients are constants that are multiplied by variables. Consider the following equation: 3 x 2 + 5x-3 = 0. ax3 + x 2 = z. The values ​​3 and 5 in the first equation are the coefficients of the variable x.

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