The Smiths spend 7% of their budget on entertainment. Their total budget this year is $1,000 more than

last year, and this year they plan to spend $3,150 on entertainment. What was their total budget last year?

Their total budget last year was

Answer:

sssssssss

Step-by-step explanation:

Given,

Keesha bought = x binder.

Let Keesha bought (11-x) notebook.

Total money spent = $45

Cost of each binder = $ 6

Cost of each notebook = $ 2.50

Now,

Equation

$ 6 × x + $ 2.50 × (11-x) = $ 45

$ 6 x + $27.5 - $ 2.50 x= $ 45

$ 3.50 x = $ 17.5

x = 5

Number of binder = 5.

Number of cover = 11-5 = 6.

Final answer:

The two equations to determine the number of binders (b) and notebooks (n) Keesha purchased are: b + n = 11 and 6b + 2.50n = 45. These equations are based on the total number of items and the total cost of the items.

Explanation:

To determine the number of binders and notebooks Keesha purchased, we need to set up two equations based on the given information. The first equation will represent the total number of items purchased, and the second will represent the total cost of those items.

Equation 1 (total number of items):
b + n = 11

Equation 2 (total cost):
$6 × b + $2.50 × n = $45

In the above equations, b represents the number of binders and n represents the number of notebooks. These two equations can be used to solve for the variables b and n using methods such as substitution or elimination.

Answer:

x = 3

Step-by-step explanation:

The solution to the equation is x = (-1 + √(57))/2.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Using the logarithmic identity log(a) + log(b) = log(ab), we can simplify the left side of the equation:

log(x - 1) + log(x + 2) = log((x - 1)(x + 2))

So the equation becomes:

log((x - 1)(x + 2)) = log 12

Using the logarithmic identity log(a) = b is equivalent to a = 10^b, we can rewrite the equation as:

(x - 1)(x + 2) = 12

Expanding the left side and simplifying, we get:

x² + x - 14 = 0

Using the quadratic formula, we find:

x = (-1 ± √(1 + 4 x 14))/2

x = (-1 ± √(57))/2

Since we can't take the logarithm of a negative number, we discard the negative solution and obtain:

x = (-1 + √(57))/2

Therefore,

The solution to the equation is x = (-1 + √(57))/2.

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Answer: 300 Centimeters

Step-by-step explanation: 1 meter is 100 cenimeters so you multiply the number of meters by 100 to get it into centimeters so 3 * 100 = 300

Answer:

40%

Step-by-step explanation:

When we say the price of an object is marked down, it means the price of the object was reduced or decreased from the initial or original price.

In the above question:

The original price of a computer game = $45

The price is marked down or decreased by $18

We are asked to find the percent of the original price that is marked down.

This is calculated as:

(The price that the original price is marked down by ÷ Original price ) × 100

= ($18 ÷ $45) × 100

= 40%

Therefore, the percent of the original price that is marked down is 40%.

Answer:

it will be 40%

Step-by-step explanation:

Answer:

The with and length of the original rectangle are:

width: 20 ft

Length: 30 ft

Step-by-step explanation:

Lets check

Yes, 30 is 10 longer then 20,

the area of the original is 600

if it was 40 and 30 then it would equal 1200

Answer:

Put one dot on the line above 18 directly where the numbers are on the left side line. Put the second dot on line 2 for X axis and y axis is the line above 20

Step-by-step explanation:

Answer:

To transform from polar coordinates  into Cartesian coordinates  we have:

x = r x cos(theta)

y = r x sin(theta)

r^2 = x^2 + y^2

=>   r = 2*cos(theta)

<=> r = 2*(x/r)

<=> 2x = r^2

<=> 2x  = x^2 + y^2

Hope this helps!

:)

Answer:

x² + y² - 2x = 0

Step-by-step explanation:

r = sqrt(x² + y²)

x = r cos(theta)

r = 2 cos(theta)

Multiply both sides by r

r² = 2r cos(theta)

x² + y² = 2x

Answer: yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

To solve, we need to substitute into the given equation:

T = d/a − j + d/a + j

T = 2468/510 (-115 + 2468/510 + 115)

T = 4.83921568627 (-115 + 4.83921568627 + 115)

T = 23.4180084582

Approx: 23 hours

I'm always happy to help :)

Answer:

10.2

Step-by-step explanation:

ok so simplified your equation is [tex]T=\frac{2da}{(a+j)(a-j)}[/tex] so you plug in your numbers.

[tex]T=\frac{2(2468)(510)}{(510+115)(510-115)}[/tex] after adding 510 and 115 you get 625 but both 510 and 625 are divisible by 5 so divide each by 5. you should have:

[tex]T=\frac{2(2468)(102)}{(125)(395)}[/tex] so just solve basically. [tex]T=\frac{503472}{49375}[/tex] it comes out to 10.196 but after some rounding its 10.2

Hope this helps!

I had the same problem too for math today so might as well help ya!

The product of the given expressions A, B, C, and D is 1. This is computed by recognizing A and C as conjugates (and likewise B and D), and using the difference of squares rule.

Given the expressions of A, B, C, D as written in the question, what needs to be done is to multiply these expressions together. Since B is the negative of A, and D is the negative of C, you can rewrite ABCD as:

A*(-A)*C*(-C)

which simplifies to -(AC)2. You'll notice that A and C are conjugates. This means that squaring them results in the difference of squares, or a2 - b2. Implementing this, we get:  

the product ABCD, we can use the distributive property of multiplication over addition. We have:

ABCD = (A + B)(C + D)

Substituting the given values of A, B, C, and D, we get:

ABCD = ((√2008 + √2009) + (-√2008 - √2009))((√2008 - √2009) + (√2009 - √2008))

-(sqrt{2008}2 - sqrt{2009}2) = -(2008 - 2009) = 1

So, the product of the given expressions A, B, C, and D is 1.

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To find ABCD, we multiply the given values together and simplify the expressions using the difference of squares formula. The value of ABCD is -1.

Given that A = (√{2008}+√{2009}), B = (-√{2008}-√{2009}), C = (√{2008}-√{2009}), and D = (√{2009}-√{2008}), to find ABCD, we multiply the given values together:

ABCD = ((√{2008}+√{2009})(-√{2008}-√{2009}))((√{2008}-√{2009})(√{2009}-√{2008}))

By expanding the multiplication and simplifying the expressions, we get:

ABCD = (√{2008}² - (√{2009})²)((√{2009})² - (√{2008})²)

After applying the difference of squares formula, we have:

ABCD = (2008 - 2009)(2009 - 2008)

Simplifying further, we obtain:

ABCD = (-1)(1) = -1

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the complete Question is given below:

Given that A = (√{2008}+√{2009}), B = (-√{2008}-√{2009}), C = (√{2008}-√{2009}), and D = (√{2009}-√{2008}), find ABCD.

The number is 2 if five times the difference between a number and three is negative five the answer is 2.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The question is incomplete.

The complete question is:

Five times the difference between a number and three is negative five. Find the number.

Let's suppose the number is x

From the question:

5(x - 3) = -5

After using the distributive property:

5x - 15 = -5

Add 15 on both sides:

5x - 15 + 15 = 10 + 15

5x = 25

Divide by 5 into both sides

x =25/5

x = 2

Thus, the number is 2 if five times the difference between a number and three is negative five the answer is 2.

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Answer:

Answer: D. How many bored games have you played in the past month

D because a statistical question is where you collect data and has to have a variability in that data.

Because it’s statistical

Step-by-step explanation:

Answer:

C. How many board games require a deck of card to play?

Step-by-step explanation:

A. is automatically out because you will only get one answer and you need to have veniality.

B. is also automatically out because then again you will only get one answer.

D. is a tricky one thought, it may look like it is the right answer but it is not because you will once again only get one answer. And based on how the question was worded it sounds like they were asking a specific person. (You have to ask more than one person in order to make that question statistical.)

For example, Say the question was: How many times have you watched star wars this past month? It may not be the same question but it has the same format. So, if you ask someone how many times have they had watched Star Wars this past month, they will say a specific number, like 7. The same goes with question D.

Hope this helped! :)

Answer:

17 c (3 c^2 - 2)

Step-by-step explanation:

Factor the following:

51 c^3 - 34 c

Hint: | Factor common terms out of 51 c^3 - 34 c.

Factor 17 c out of 51 c^3 - 34 c:

Answer: 17 c (3 c^2 - 2)

Answer:

the answer is 12.2

Step-by-step explanation:

thats what i got

Answer: 12.2

Step-by-step explanation:

Answer:

$28

Step-by-step explanation:

First, you would want to find the amount of money that you earn per car. So, for each car you make $4. Then, multiply 7 times 4 and get 28.

$28 is the answer!

Answer:

13/3 or 4 1/3

Step-by-step explanation:

First you convert your mixed numbers into improper fractions:

5/3 × 13/5

You can reduce these fractions by the greatest common factor of 5

1/3 × 13

Multiply

1/3 × 13 = 13/3   or     4 1/3

Answer:

YOUR WRONG 27 IS NOT 45%

Step-by-step explanation:

[tex]\frac{27}{100}[/tex]=27%

100%=1 whole

Answer:

It is 60

Step-by-step explanation:

A better way to rephrase the problem is:

"what is 100 percent of something if 27 is 45% of something. ?"

so

100% * X  = ?

given:   27 = 45% * X

Solve for X,

27/ 45% = X

X = 27 / 0.45 = 60

so.  100% * X = 100% * 60 = 1 * 60 = 60

Answer:

8/27

Step-by-step explanation:

4 x 2 = 8

9    3   27

Final answer:

The expression 4/9 x 2/3 simplifies to 8/27, which cannot be reduced further as there are no common factors between the numerator and the denominator.

Explanation:

The original expression given is 4/9 x 2/3. To simplify this expression, we multiply the numerators together (4 x 2) and the denominators together (9 x 3). The product of the numerators is 8, and the product of the denominators is 27, giving us the fraction 8/27. This expression can't be simplified further because 8 and 27 have no common factors other than 1.

If we refer to the example of the scale factor, such as 1:4 scale, it is different from the multiplication of fractions. However, in the case of the proportion 1:2 = 4:x, we solve for x by cross-multiplying, resulting in x being 8. This is a proportional relationship and not directly related to the original fraction multiplication.

Answer:

1. tan A= 1.6643

A = tan^-1(1.6643)

A = 59° , 239°

2. sin A= 0.8480

A = sin^-1(0.8480)

A = 58°, 122°

3. cos A= 0.3420

A = cos^-1(0.342)

A = 1° , 359°

4. cos U= 0.4695​

U = cos^-1(0.4695)

U = 62°, 298°

Answer:

Please see the attached pictures for the full solution.

Answer:

0.0853

Step-by-step explanation:

Step 1

The first step would be to find the Z score

Formula for Z score is given as

z = x – μ /( σ ÷ √n)

Where

x = observed value

μ = mean

σ = Standard deviation

n = sample size

In the question we were given the above values as :

x = observed value = $7500

μ = mean = $7200

σ = Standard deviation = $1200

n = samples size = 30

Z score (z) = $7500 – $7200 /($1200÷ √30)

Z score = $300/ ( $1200 ÷ √30)

Z score = 1.3693063938

Approximately, the Z score = 1.37

Step 2

Using this formula:

1 - P(z > 1.37)

Using the Standard distribution table,

P(z > 1.37) is given as

0.9146565

Therefore,

1 - P(z > 1.37)

= 1 - 0.9146565

= 0.0853435

In the question we were asked to round it up to 4 decimal places

= 0.0853

Therefore, the probability that the mean daily revenue for the next 30 days will exceed​ $7000 is 0.0853.

Answer:

c

each sidelength is the same, lwh, 27

Answer:

C.

LxWxH=V

V = S^3

Answer:

y = 5x + 4

Step-by-step explanation:

The slope always goes before the x and your y-intercept is plus or minus depending on weather it is positive or negative. Your parent function or standard equations) is y = mx + b, so just plug your variable into there.

Answer:

8 bowls

Step-by-step explanation:

2/3 = 8/12

8/12 ÷ 1/12 = 8

This should be right. Sorry if it isn't.

Answer:

8 bowls

Step-by-step explanation:

In total, we have 2/3 of a gallon of ice cream. Essentially, we want to divide this 2/3 gallons into b bowls such that each bowl has 1/12 of a gallon.

We can write this as the mathematical equation:

2/3 ÷ b = 1/12

Multiply both sides by b:

2/3 = (1/12) * b

Divide both sides by 1/12:

(2/3) ÷ (1/12) = b

Remember that when dividing fractions, it's the same as multiplying by the reciprocal, so:

(2/3) ÷ (1/12) = b

(2/3) * (12/1) = b

b = 8

Thus, the answer is 8 bowls.

Answer:

- cosec x + cot x + x + c

Step-by-step explanation:

[tex] \int \frac{cos x}{1 + cos x} dx\\

=\int \frac{cos x(1-cosx)}{(1 + cos x)(1-cosx)} dx\\

=\int \frac{cos x-cos^2 x}{(1-cos^2 x)} dx\\

=\int \frac{cos x-cos^2 x}{sin^2 x} dx\\

=\int \bigg (\frac{cos x}{sin^2 x}- \frac{cos^2 x}{sin^2 x}\bigg) dx\\

=\int (cotx \: cosecx- cot^2 x) dx\\

=\int [cotx \: cosecx- (cosec^2 x-1)] dx\\

=\int (cotx \: cosecx- cosec^2 x+1) dx\\

=\int (cotx \: cosec) dx- \int cosec^2 x dx+\int 1 dx\\

= - cosec x + cot x +

x + c[/tex]

Answer: its A

Step-by-step explanation:i did the test

Answer:

Its A

Step-by-step explanation:

thx byye

Answer:

26

0.18x = 4.68

x = 4.68/0.18

x = 26

Step-by-step explanation:

The number 26 is 0.18 of the number 4.68.

Mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that 0.18 times, the number is 4.68. The value of the unknown number is calculated below;-

Let the unknown number be x and now form an equation and solve for the value of x.

0.18x = 4.68

x = 4.68/0.18

x = 26

Therefore, the number 26 is 0.18 of the number 4.68.

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Answer:

c = 8.06

Step-by-step explanation:

Use the Pythagorean theorem.

a^2 + b^2 = c^2

c^2 = a^2 + b^2

c^2 = 4^2 + 7^2

c^2 = 16 + 49

c^2 = 65

c = sqrt(65)

c = 8.06

The value of x is 18

Step-by-step explanation:

[tex] \: \: \: \: \: \: \: \: \frac{80}{80 + 2x} = \frac{60}{60 + 27} \\ \: \: \: \: \: \: \: \: \frac{80}{80 + 2x} = \frac{60}{87} \\ \: 60(80 + 2x) = 80 \times 87 \\ 4800 + 120x = 6960 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 120x = 6960 - 4800 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 120x = 2160 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = \frac{2160}{120} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 18[/tex]

So, the value of x is 18

Hope it helpful and useful :)

Answer:

58

Step-by-step explanation:

58.58 - 0.58 = 58

Answer:

d

Step-by-step explanation:

58.58-0.58=58