From the expressions below, select the one that results in a negative difference.

3rd choice is answer

Step-by-step explanation:

Answer:

−3.632 > −3.792

|−3.632| < |−3.792|

Step-by-step explanation:

Given :

−3.632 −3.792 |−3.632| |−3.792|

First comparison :

−3.632 −3.792

Using the knowledge of number line :

- 3.792 occurs farther to the left of a number line than - 3.632, and numbers which occurs farther to the left are lesser. Therefore,

−3.632 > −3.792

2.)

|−3.632| |−3.792|

The presence of the absolute value symbol annuls the negative sign in the digit given. Hence, we can view both numbers as being positive values as ; 3.632 3.792

Numbers further to the right of a number line are greater and 3.792 occurs farther to the right than 3.632.

Hence,

|−3.632| < |−3.792|

Answer:

$71, 250

Step-by-step explanation:

Given that:

Fixed salary of Lenny = $40,000

Commission on the cars sold by Lenny = 1.25%

Cost of each Lexus car = $50,000

Total worth of which cars are sold by Lenny = $2,500,000

To find:

Lenny's total income after a year?

Solution:

Lenny's salary consists of two parts i.e. Fixed salary and the variable part as per the commission depending upon the sales done by Lenny.

Fixed salary = $40,000

Commission earned = 1.25% of $2,500,000

[tex]\Rightarrow \dfrac{1.25}{100}\times 2500000\\\Rightarrow \$31,250[/tex]

Therefore, Lenny's total salary after a year = $40,000 + $31,250 = $71, 250

Answer:

P,R,Q i think

Step-by-step explanation:

Answer:

a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression (e.g. 3 in 23 = 2 × 2 × 2).

Step-by-step explanation:

Answer:

The first bullet

Step-by-step explanation:

it has heads with the colors & also the same for tails

Answer:

32

Step-by-step explanation:

3+4 = 7, 56/7 = 8, 8 * 4 = 32

Answer:

[tex]\huge\boxed{\sf 32\ m\&ms}[/tex]

Step-by-step explanation:

Red m&ms = 3x

Blue m&ms = 4x

Condition given:

3x + 4x = 56 (x being the unknown)

7x = 56

Divide 7 to both sides

x = 56 / 7

x = 8

So,

Blue m&ms = 4 (8) = 32 m&ms

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

1/25

Step-by-step explanation:

1/25 is simplified, as 1 and 25 have no common factors.

(Unless you're saying 1/5 * 1/5?)

Fraction 1/25 is Already in its simplest form. It may be expressed in decimal form as 0.04

To simplify the fraction, we have to divide the numerator and denominator by their greatest common divisor (GCD).

Do the factorization of numerator and denominator

1 can be written as [tex]1\times1[/tex]

And 25 can be written as [tex]1\times5\times 5[/tex].

After factorization, we see that 1 is the greatest factor, which is common in both.

Divide the numerator and denominator by their greatest common divisor (1).

[tex]\dfrac{1 \div 1}{25\div1}[/tex]

[tex]=\dfrac{1}{25}[/tex]

Hence, 1/25 can not be further simplified.

Learn more about fractions here:

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Answer:

The width of the box is 6.7 cm

The maximum volume is 148.1 cm³

Step-by-step explanation:

The given parameters of the box Jorge is asked to build are;

The maximum girth of the box = 20 cm

The nature of the sides of the box = 2 square sides and 4 rectangular sides

The side length of square side of the box = w

The length of the rectangular side of the box = l

Therefore, we have;

The girth = 2·w + 2·l = 20 cm

∴ w + l = 20/2 = 10

w + l = 10

l = 10 - w

The volume of the box, V = Area of square side × Length of rectangular side

∴ V = w × w × l = w × w × (10 - w)

V = 10·w² - w³

At the maximum volume, we have;

dV/dw = d(10·w² - w³)/dw = 0

∴ d(10·w² - w³)/dw = 2×10·w - 3·w² = 0

2×10·w - 3·w² = 20·w - 3·w² = 0

20·w - 3·w² = 0 at the maximum volume

w·(20 - 3·w) = 0

∴ w = 0 or w = 20/3 = 6.[tex]\overline 6[/tex]

Given that 6.[tex]\overline 6[/tex] > 0, we have;

At the maximum volume, the width of the block, w = 6.[tex]\overline 6[/tex] cm ≈ 6.7 cm

The maximum volume, [tex]V_{max}[/tex], is therefore given when w = 6.[tex]\overline 6[/tex] cm = 20/3 cm  as follows;

V = 10·w² - w³

[tex]V_{max}[/tex] = 10·(20/3)² - (20/3)³ = 4000/27 = 148.[tex]\overline {148}[/tex]

The maximum volume, [tex]V_{max}[/tex] = 148.[tex]\overline {148}[/tex] cm³ ≈ 148.1 cm³

Using a graphing calculator, also, we have by finding the extremum of the function V = 10·w² - w³, the coordinate of the maximum point is (20/3, 4000/27)

The width of the box is;

6.7 cm

The maximum volume is;

148.1 cm³

Answer:

x = 60

Step-by-step explanation:

Since the 3 sides of the triangle are congruent, then the triangle is equilateral with interior angles congruent and equal to 60°

x and the angle on the right of the triangle are alternate and congruent, so

x = 60

Answer:

ok? what am i supposed to do

Step-by-step explanation:

Answer:

The answers are 2, 6, 10, 2.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

[tex]\frac{2 \frac{1}{2} }{\frac{2}{5} } = \frac{2\frac{1}{2} }{2} times 5[/tex]

1 1/4 × 5 = 6 1/4

Answer:

-2/3

Step-by-step explanation:

Find two points and count the x and y axises between them.

(hope this helps!)

Answer:

a=b/4

Step-by-step explanation:

subtract 4b from both sides to end up with a=b-3a and then add 3a to both sides to get 4a=b, and divide both sides by 4 to get a=b/4.

Answer:

a + 4b + 5b - 3a can only be solved by a little.

Step-by-step explanation:

a + 3a =3a.

4b + 5b = 9b.

we can't solve 9b - 3a, since they have different functions, so 9b - 3a is the answer.

Answer:

Graph the line using the slope and y-intercept, or 2 points.

Slope: 3

y-intercept: (0,-3)

Answer:

C. 6

Step-by-step explanation:

7n = 42

n = 6

hope this helps

Answer:

Step-by-step explanation:

Given

Solving for n

Correct option is C. 6

Answer:

This graph is an exponential graph, and can model the spread of CO V ID-19

Step-by-step explanation:

This graph increases exponentially, and can be used to model the spread of COVI D 1 9. Co vid  started slowly, but ramped up. Another mathematical equation it can describe is y=x^3

Answer:

LFGA is a rectangle

B) yes they are

Since lf=ag

LFE=AGT

AT=LE

SO THEY ARE CONGRUENT HAVING 2 EQUAL SIDES AND ONE RIGHT ANGLE

C) ef =gt

(U have to prove them before)

D) LF is equal to AG

Since in a rectangle the h times base

Answer:

80 miles in 4 hours

Step-by-step explanation:

fx = 20x-80

20x=80

20x/20=80/20

x = 4

Answer:

8.795

Step-by-step explanation:

Answer: it is linear

Step-by-step explanation: A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1   for each of its variables. In this case, the degree of variable  y is 1 and the degree of variable x is 1

Answer:

No

Step-by-step explanation:

This is because the definition of absolute value is the number of units or points from zero on a number line. The regular answer of 3-7 would be -4. But the absolute value of -4 is 4 because it is just regularly 4 digits away from zero on a number line. Make sense?

There - 4 is not the absolute value of 3 - 7 because it is 4 units away from 0.

Absolute value is defined as the magnitude or size of a number, no negatives are allowed. The distance a number is from 0 on the number line is known as the absolute value of the number.  

For example, |5| is 5 because it is 5 units away from 0.  Also, |-5| is also 5 because -5 is 5 units from 0.

As per the given question,

There - 4 is not the absolute value of 3 - 7,

This is because the definition of absolute value is the number of units or points from zero on a number line. The standard response of 3-7 would be -4. However, the absolute value of -4 is 4 since it is 4 digits away from zero on a number line.

Thus, there - 4 is not the absolute value of 3 - 7 because it is 4 units away from 0.

Learn more about the absolute value here:

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Answer:

y= 7/2-5x/2

Step-by-step explanation:

5x+2y=7

2y=7-5x

y= 7/2-5x/2

Answer: He will pay $630 over the course of the loan.

Step-by-step explanation:

Formula for simple interest :

S.I. = PRT, where P=principal amount , R =rate of interest ( in decimal), T=time (in years)

As per given ,

P = $1,400 ,  t = 5 years , r = 9% = 0.09

Simple interest = (1400) x (0.09) x (5)

⇒ Simple interest = $ 630

Hence, he will pay $630 over the course of the loan.

Answer:

6 to 4

Step-by-step explanation:

The amount of water is 6 and the amount of flour is 4 therefor there is 6 to 4 cups of water.

Answer:

Approximately 38 cube inches of wax.

Step-by-step explanation:

The candle can be assumed to have the shape of a cylinder, so that;

volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h

where: r is the radius and h the height of the cylinder.

Thus,

volume of each candle =  [tex]\pi[/tex][tex]r^{2}[/tex]h

But radius is 1 inch and height is 4 inches, then;

volume of each candle = [tex]\frac{22}{7}[/tex] x [tex]1^{2}[/tex] x 4

                                      = [tex]\frac{22}{7}[/tex] x 1 x 4

                                      = 12.5714

volume of each candle = 12.6 cube inches.

Therefore, for the three candles;

volume of the three candles = 3 x 12.5714

                                                = 37.7142

volume of the three candles = 37.7142 cube inches

The amount of wax required for the three candles is approximately 38 cube inches.