A customer purchased a total of 10 hats and scarves. Each hat cost $4.50 and each scarf cost $3.00. The customer spent $36.00 all together.

How many hats did the customer buy?

Enter your answer in the box.

hats

Exponent rules are those laws that are applied to exponent-based expressions to make them simpler. The principles of exponents make it simple and rapid to execute numerous arithmetic operations like addition, subtraction, multiplication, and division. These guidelines are also useful for reducing the complexity of numbers that have complex powers incorporating fractions, decimals, and roots.

Exponent rules, commonly referred to as the "laws of exponents" or "properties of exponents," facilitate the task of simplifying exponent-based statements. These guidelines are useful for reducing the complexity of expressions whose exponents are decimals, fractions, irrational numbers, or negative integers.

When an exponent is a negative number, we apply the negative law of exponents. This rule states, "The reciprocal should be taken to convert any negative exponent into a positive exponent." The change in sign of the exponent values moves the expression from the numerator to the denominator.

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Answer:

y=5.6

Step-by-step explanation:

1 + 2y = 11.08 +0.2y

Move the values w/ y all to one side and the ones without to the other side

1+ 2y = 11.08 + 0.2y

-0.2y             - 0.2y

-1        -1

1.8y=10.08

Divide by 1.8

y=5.6

Answer:

42, 12)

Step-by-step explanation:

Let the present ages of the father and son be x years and y years respectively.

According to the question,

Condition I,

Three years ago the sum of the ages of the father and his son was 48 years.

or,(x−3)+(y−3)=48

or,x−3+y−3=48

or,x−6=48−y

or,x=54−y - (i)

Condition II,

Three years hence the father's age will be three times the son's age,

or,(x+3)=3(y+3)

or,x+3=3y+9 - (ii)

Put value of x from equation (i) in equation (ii), we get,

or,(54−y)+3=3y+9

or,54−y=3y+9−3

or,54−6=3y+y

or,48=4y

or,y=484

∴y=12

Put the value of y in equation (i), we get,

or,x=54−12

∴x=42

So, (x,y) = (42, 12)

Therefore, the required present ages of the father and the son are 42 years and 12 years respectively.

Answer:

33.3%

Step-by-step explanation:

%error =error/actual value*100

=30-20/30*100

=10/30*100

=33.3%

Answer:

a= [tex]\frac{g-f}{n}[/tex]

Step-by-step explanation:

First, start off by subtracting f from both sides. This gives you "g - f" and you are left with "an." Now, to isolate the variable, we must divide "n" from both sides and you will get "a= g - f/n," which is the final answer.

Hope this helps! :D

The value of the function p (q(z)) is  6z² +4 .

By considering the given functions

p(z) = 3r+4

q(z) = 2z²

p (q(z))= p(  2z²)

p (q(z))= 3(2z²)+4

p (q(z))= 6z² +4

A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function domain and codomain, respectively. a mathematical expression, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics, functions are everywhere, and they are crucial for constructing physical relationships in the sciences.

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Answer:

Midpoint are 4,10

Step-by-step explanation:

x midpoint - 4

y midpoint - 10

midpoint formula (x1 + x2)/2 , (y1 + y2)/2

(2+8)/2, (7+13)/2

4,10

Full Explanation

[tex] M = (x_M, \; y_M) [/tex]

[tex] M = \left(\dfrac{x_1 + x_2}{2}, \; \dfrac{y_1 + y_2}{2}\right) [/tex]

[tex] M = \left(\dfrac{2 + 6}{2}, \; \dfrac{7 + 13}{2}\right)[/tex]

[tex] M = \left(\dfrac{8}{2}, \; \dfrac{20}{2}\right)[/tex]

[tex] M = (4, \; 10)[/tex]

Answer:

(- 2, 3 )

Step-by-step explanation:

6x + 2y = - 6 → (1)

3x - 4y = - 18 → (2)

multiplying (1) by 2 and adding to (2) will eliminate y

12x + 4y = - 12 → (3)

add (2) and (3( term by term to eliminate y

15x + 0 = - 30

15x = - 30 ( divide both sides by 15 )

x = - 2

substitute x = - 2 into either of the 2 equations and solve for y

substituting into (1)

6(- 2) + 2y = - 6

- 12 + 2y = - 6 ( add 12 to both sides )

2y = 6 ( divide both sides by 2 )

y = 3

solution is (- 2, 3 )

Answer:

(-2, 3)

Step-by-step explanation:

Answer: 124.3%

Step-by-step explanation:

318.2/256=1.24296875

1.24296875*100=124.296875

124.296875=124.3%

Since 318.2 is greater than 256, the percent is going to be greater than 100, because the number 318.2 is more than 100 of 256 which basically translates to 318.2 being greater than 256.

Answer:

x = 6

Step-by-step explanation:

2x + 4 = 3x - 2

2x - 3x = -2 - 4

-x = -6

x = 6

Answer:

x = 6

Step-by-step explanation:

We are given this equation:

2x + 4 = 3x - 2

And we want to evaluate the equation for x.

To do this, we need to isolate the variable (x) on one side of the equation.

We can start by putting the numbers on one side.

We can subtract 4 from both sides of the equation to start. Remember that when solving equations, whatever we do on one side of the equation, we need to do it on the other side as well.

2x + 4 = 3x - 2

     -4          -4

___________________

2x = 3x - 6

Now, let's put the variables on the other side.

Subtract 3x from both sides.

2x = 3x - 6

-3x   -3x

______________

-x = -6

Now, the numbers and variables are on different sides, however we are not done yet, as we need to take care of the negatives, as x shouldn't be negative in this case.

-x is the same as -1x, or -1 * x.

So, in order to get rid of the negatives, we can either multiply or divide both sides by -1.

Let's multiply both sides by -1.

-1(-x) = -1(-6)

x = 6

The value of x is 6.

Answer:

option A

Step-by-step explanation:

The slope of the line is zero.

The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope or gradient. In the coordinate plane, it represents the slope of the line.

From the given figure we can see that the line is parallel to the x-axis.

Any line parallel to the x-axis is given by the general equation y = a .

This equation can also be written as:

y = 0 x + a.

Comparing the above equation with the general equation of a straight line  y = mx + c

we see m = 0 and c = a (a is a constant)

Hence the slope of the line is 0.

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The domain and range of the function C(m) the equation for is  mathematically given as

Dc=[0,\infty)

This is further explained below.

Generally, The domain and the range of a function are as follows: The values that are assumed by an input are referred to as a function's domain, while the numbers that are assumed by the outputs are referred to as the function's range.

In this question:

C(m)=0.05m+20

The input, denoted by the letter m, is the number of phone calls, and this value might be anything between 0 to an unlimited amount. So

The domain is Dc=[0,\infty)

The value of C(0) is equal to 20 when the input m is set to 0. As m grows, so does C (m). What this indicates is that:

The range is: Rc=[20,\infty)

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CQ

Haley pays a monthly fee of $20 for her cell phone and then pays 5 cents per minute used. The total cost of Haley’s monthly cell phone bill can be expressed by the function C(m) = 0.05m + 20, where m is the number of minutes used. What are the domain and range of the function C(m)?

Answer:

a^2-b^2=(a + b) (a - b) is the formula

The median of the data set given for the tips (in dollars) earned in the last hour by waiters in a Japanese restaurant is determined as: 28.

]The median of any given data set is the data value that lies at the center of the data set when ordered.

Given the data set, 30,17,47,47,26,17,36,31,21,17, order the data set from the least to the greatest:

17, 17, 17, 21, 26, 30, 31, 36, 47, 47

The center or middle of the data set is 28.

Thus, the median of the data set given for the tips (in dollars) earned in the last hour by waiters in a Japanese restaurant is determined as: 28.

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The number line that represents the solution set for the inequality 3(8 – 4x) < 6(x – 5) will be D. A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.

It should be noted that a number line is used to illustrate the intervals between the numbers given.

Therefore, the number line that represents the solution set for the inequality 3(8 – 4x) < 6(x – 5) will be a number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right

In conclusion, the correct option is D.

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To the nearest tenth of a mile, the length of one side of this tract of land is 0.64 miles

This problem can be solved by using the concept of scale factor. Scale factor is useful in finding proportional measurements.

Proportion implies having the same ratio.

Scale factor can be defined as the ratio of the measurement of the model to the measurement of the actual form in the simplest form. In other words, the ratio of any two corresponding lengths in two similar geometric figures is called a scale factor.

If the scale factor is more than 1, that is, scale factor > 1,

then it is an enlargement,

If the scale factor is less than 1, that is, scale factor < 1,

then it is a reduction.

A rancher divided his land into square sections.

To the nearest tenth of a mile, the length of one side of this tract of land = 0.64 miles

Therefore, we get the length of one side of this tract of land as 0.64 miles.

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Answer:

Hello,

Answer d

Step-by-step explanation:

Since x=y then 3v-1=2v+6 ==> v=7

Answer d

Answer:

z=3

Step-by-step explanation:

Based on the corresponding angles theorem, since lines m and n are parallel lines, the value of x = -3.

The corresponding angles that are formed when two parallel lines are intersected by a transversal are congruent, according to the corresponding angles theorem.

Given that lines m and n are parallel lines that are intersected by transversal t, therefore:

2x + 9 = 7x + 24

Solve for x

2x + 9 - 9 = 7x + 24 - 9 [subtraction property of equality]

2x = 7x + 15

2x - 7x = 7x + 15 - 7x [subtraction property of equality]

-5x = 15

-5x/-5 = 15/-5 [division property of equality]

x = -3

Therefore, based on the corresponding angles theorem, since lines m and n are parallel lines, the value of x = -3.

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All of them would accurately represent how many flowers of each type she used

Answer:

26 i believe 66 - 40 = 26 hope this helps

Answer:

L: (4,0) and L': (2,0)

Step-by-step explanation:

Answer:

Step-by-step explanation:

I messed up on P'

I drew it as -3,3 but it should be -3,2

Which is what i wrote it as

If the model is 3/5th of original plane then the length of the original plane is 41.6 feet.

It is given in the question that the model of an aircraft is 3/5th the length of the original plane.

So, Let the length of the original plane be x feet.

According to the question

3/5th of x is 24.96

[tex]x\times\frac{3}{5} =24.96[/tex]

Multiplying both sides by 5

3x=24.96*5

3x=124.8

Dividing both sides by 3

x=124.8/3

x=41.6

Hence , the value of x is 41.6 feet.

Therefore , if the model is 3/5th of original plane then the length of the original plane is 41.6 feet.

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Answer:

A) E

B) Shape A and E

(i think)

Answer:

4

Step-by-step explanation:

56/4=14

72/4=18

100/4=25

4 has to be the biggest common factor.

Answer: 124 degrees ==> Option 3

Step-by-step explanation:

ABC=ABX+XBC

ABX=XBC     ==> bisected angles are equal since when an angle is bisected, it is divided into two equal angles. Hence:

ABC=XBC*2

ABC=62*2

ABC=124 degrees ==> Option 3