A box is to be made by cutting a square measuring 4 centimeters on a side from a square piece of cardboard. If the volume of the box is to be 100 cubic centimeters, find the length of a side of the original square. Round the answer to the nearest tenth of a centimeter.

The relationship between the price of the cap and the number of units in demand is d = 869 - 19p

Substitution: A strategy for solving systems of equations that include solving for one variable and using that solution to find the other variable.

The table below shows survey results for the demand related to the price of a baseball cap in a small town. As the price of the cap increases, the number of people who wish to purchase it decreases.

Price of Cap, p(in dollars)     Number of Units in Demand, d

23                                              432

27                                              356

30                                             299

35                                             204

the relationship between the price of the cap and the number of units in demand

lets substitute the values in the given options ( lets use 1st result p=23 and d=432)

A.

d = 850 - 19p

432=850-19(23)

432=850-437

432≠413

B.

d = 285 - 869p

432=285-869(23)

432=285-19,987

432≠19,702

C.

d = 869 - 19p

432=869-19(23)

432=869-437

432=432

option C is correct

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A strategy for solving systems of equations that include solving for one variable and using that solution to find the other variable.

The table below shows survey results for the demand related to the price of a baseball cap in a small town. As the price of the cap increases, the number of people who wish to purchase it decreases.

The relationship between the price of the cap and the number of units in demand

lets substitute the values in the given options ( lets use 1st result p=23 and d=432)

A.   d = 850 - 19p

432=850-19(23)

432=850-437

432≠413

B.   d = 285 - 869p

432=285-869(23)

432=285-19,987

432≠19,702

C.   d = 869 - 19p

432=869-19(23)

432=869-437

432=432

Answer:

When a number is outside parentheses, the operation it indicates is Multiplication

Explanation:

When a number is outside parentheses such as;

The operation it indicates is Multiplication, for the example above, it means that 4 will multiply each of the numbers inside the parentheses.

Therefore, When a number is outside parentheses, the operation it indicates is Multiplication

Answer: -0.85

Step-by-step explanation:

3/10 + 1/5 = 1/2

1/2 x -4.25 = -0.85

Answer:

because the six is a negative number (-6)

James has to pay an annual interest of 14.99% on $2500 loan.

In decimal:

14.99% = 14.99/100 = 0.1499

The interest of 1st year would be:

0.1499 * 2500 = 374.75 dollars

Monthly interest would be:

374.75/12 = $31.23

If he pays this amount each month for first 4 months, he would pay a total of:

$31.23 * 4 =

His lifetime earnings when he retires at the age of 68 is $2,817,385.1728.

The total number of years Demarcus will work is 68 - 24 = 44 years.

Now, there are about 52.1429 weeks per year; therefore, the number of weeks in 44 years will be:

44 years × 52.1429 weeks/year = 2294.2876 weeks

We are also told that Demarcus gets paid once every two weeks; this means the number of payments made in 44 years will be:

2294.2876 / 2 = 1147.1438 payments

Since each payment is worth $2,456.00, the total amount earned from 1147.146 payments will be:

1147.146 payments × 2456 per payment = $2,817,385.1728

Hence, Demarcus' lifetime earnings if he retires at the age of 68 will be $2,817,385.1728.

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Step-by-step explanation:

Answer:

0 miles driven:$45, 1 miles driven:$47.5, 2 miles driven:$50, 3 miles driven:$52.5

Step-by-step explanation:

Answer:

[tex]4.2 / 0.35 =\frac{4.2}{0.35} *\frac{100}{100}= \frac{420}{35} = 420/35[/tex]

Step-by-step explanation:

By multiplying both the numerator and the denominator of the fraction 4.2/0.35, the resulting equivalent fraction is 420/35.

The simplification of the given expression 36-(12/2)2 will be 24.

Simplification involves proceeding with the pending operations in the expression. for ex; 6 + 2 is an expression whose simplified form can be obtained by doing the pending addition, that results in 8 as its simplified form. Simplification, involves making the expression simple and easy to use later.

We have been given an expression as;

36-(12/2)2

To simplify the above;

36-(12/2)2

36 - (6)2

Now multiply 6 by 2,

36 - 12

= 24

Therefore, the simplification of the given expression 36-(12/2)2 will be 24.

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Answer:

The answer is 24.

Step-by-step explanation:

(12/2)=6

36-(6)2

=36-12

=24

Answer:

Step-by-step explanation:

32=2⁵

therefore=2⁵×⅕

=2

Answer: ...

Step-by-step explanation: Find the hypotenuse x. Suppose angle A = 50°, angle B = 60°, and angle C = x are the angles of a triangle. ABC. By using the angle sum property we can find the value of x. angle A + angle B + angle C = 180 degrees. Solve for x in fractions, we simply do the cross multiplication and simplify the equation to find x.

36 cm tall will their stacks be when they are the same height for the first time.

Given,

Two students in Mrs. Johnson's preschool class are stacking blocks:

The height of Reece's block = 4 cm

The height of Maddy's block = 9 cm

We have to find the height of the stacks when they are same height for the first time.

Here,

We have to find the least common multiple.

Least Common Multiple (LCM):

The smallest number that is a multiple of both of two numbers is called the least common multiple.

So here,

We have to find the least common multiple of 4 and 9.

Here, the least common multiple of 4 and 9 = 36

Then,

36 cm tall will their stacks be when they are the same height for the first time.

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Answer:

Step-by-step explanation:

-11+?=15

?=15+11

15+11= 26

So, -11+26=15.

?-(-3)= 5

?+3=5

?=5-3

?=2

So, 2-(-3)=5.

?+(-4)=7

?-4=7

?=7+4

?=11

So, 11+(-4)=7.

?+-8=3

?=3+8

?=11

So, 11+-8=3.

-2+?=1

?=1+2

?=3

So, -2+3=1.

?-12=-4

?=-4+12

?=8

So, 8-12=-4.

Given:

Find-:

Match the item

Explanation-:

(1)

The commutative property of addition is:

So the commutative property of addition is:

(2)

The multiplicative inverse is:

So value is:

(3)

Associative property of addition

So the value is:

(4)

Additive identity.

The property of additive identity is:

So the value is:

(5)

The distribution property is:

Answer:

B

Step-by-step explanation:

12 multiplied by 5 is 60 and 10 multiplied by 6 is 60. which is the lowest that they both will meet

The world record for most selfies taken by a person in one hour is calculated to be 1449.

The world record for the most selfies taken by one person in one hour can be determined by using an algebraic expression.

As 4296 is 51 fewer than three times the World record for the most selfies taken by one person in one hour, we can consider x to be the world record by which we get an algebraic expression as follows;

3x - 51 = 4296

Solving for x;

3x = 4296 + 51

3x = 4347

x = 4347 / 3

x = 1449

Therefore, 1449 is calculated to be the world record for most selfies by one person in one hour.

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Let's expand the rational number with the conjugate of the expression in the denominator.

Answer:

Step-by-step explanation:

root of 9 is 3

root of 8 is 2.8

the equation =-2.5

The recursive formula for the sequence 13, 3, -7, -17 is 3 + 10n.

It should be noted that the nth term for an arithmetic sequence is illustrated by the formula:

= a + (n - 1)d.

where a = first term = 13

d = common difference = 3 - 13 = 10

n = number of terms

Therefore, the recursive formula will be:

a + (n - 1)d.

= 13 + (n - 1)10

= 13 + 10n - 10

= 3 + 10n

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Answer: No Solution

Step-by-step explanation: Simply use the formula. Which then you get no solution

The money earned by Tom in accordance with his rate is $

In mathematics, comparing two related quantities stated in different units is known as a rate.

The rate at which he earns is $15 per hour.

He earns over time at 1 1/3 times his wage

Overtime rate = 4 / 3 × 15 = $20

He worked for 11 hours.

Total money earned = 7 hours at rate $15 per hour and 4 hours at rate $20 per hour.

Money earned = 7 × 15 + 20 × 4 = $185

Hence the money earned at that rate is $185.

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The value of (x) that satisfy the equation → 3(x − 5) = 5x − (3 − x) is

x = - 12.

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

Given is the following equation -

3(x − 5) = 5x − (3 − x)

The given equation is -

3x - 15 = 5x - 3 + x

Simplifying for (x), we get -

3x - x - 5x = - 3 + 15

- x = 12

x = -12

Therefore, the value of (x) that satisfy the equation → 3(x − 5) = 5x − (3 − x) is x = - 12.

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A complex number z = a + bi has the trigonometric form z = r(cosθ + I sinθ ), where r = |a + bi| is z's modulus and tanθ = b.

the angle generated by the complex number on a polar graph having one real axis and one imaginary axis. This may be calculated using the right angle trigonometry for the trigonometric functions. Complex numbers are those that are represented as a+ib, where a and b are actual numbers and I is a fictitious number termed a "iota." I has the value (-1). As an illustration, the complex number 2+3i is made up of the real number 2 (Re) and the imaginary number 3i (Im).

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Answer:

w = 135

Step-by-step explanation:

-27 = -w/5

multiply both sides by 5:

5(-27) = 5(-w/5)

-w = 135

divide both sides by -1:

-w/-1 = 135/-1

w = 135

The value of w is 135 in the equation -27 = -w/5 .

We are provided with the equation mentioned below:

-27 = -w/5

As per the question we have to simplify and solve this above mentioned equation. To simplify this provided equation we will follow the steps mentioned below:

-27 = -w/5                                                      equation 1

On multiplying both the sides of equation 1 with 5, we will get

(-27) × 5 = (-w/5) × 5

- 135 = -w                                                       equation 2

On multiplying both the sides of equation 2 with -ve sign, we will get

w = 135

Thus, we can write that the value of w is 135.

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Answer: The answer is y

Step-by-step explanation:

Answer:

i think y=1/2x+1 or y+3=1/2 times (x+8)

Step-by-step explanation:

A) The end behavior of the polynomial graph is that;

as x → -∞, y → -∞, and as x → ∞, y → ∞

B) The given graph polynomial represents an even degree polynomial.

The end behavior of the graph of a polynomial function is the behavior of the graph of as approaches positive infinity or negative infinity.

Now, we see from the graph that as x approaches a larger value, y values are getting increasingly negative. This means that as x approaches negative infinity, the values of y approach negative infinity.

In a similar approach, we can see that as the values of x approach positive infinity, the values of y also approach positive infinity.

Thus, we can say that option  D is correct.

B) Odd-degree polynomial functions, are those that have graphs that extend diagonally across the quadrants while even-degree polynomial functions are those that have graphs that open upwards or downwards.

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