Check for understanding:
Use < or > to compare the following: 45.112_45.15 (Explain your answer)

Answer:

option 2

Step-by-step explanation:

x is going away from 7 in a positive direction which means greater than. the fact that it is just greater than not equal to means that there is a black circle instead of a filled in one because it excludes that number.

Answer:

Option 2

Step-by-step explanation:

If the inequality is "x > 7" it means that if it was to be represented on a number line, all values that "c" could possibly take would be located to the right (on the number line) of 7. Now there only two options that follow this statement, those options are options 2 and 4. But there is another thing we must understand. x must be larger than 7 (it can not be equal to 7), therefor option 2 is right since it follows the second statement  while option 4 would represent inequality "x ≥ 7".      

Answer:

P=(Probablility of a guest sitting in a section that gets a hat) =number of ways it can happen/total number of outcomes. =5/40= 1/8

Step-by-step explanation:

The probability of a guest sitting in a winning section is 1/8.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Given, The seats are divided into 40 sections and hats are to be given in only 5 sections.

Here, N(S) = 40 and N(H) = 5.

Therefore, We know, P(H) = N(H)/N(S).

P(H) = 5/40.

P(H) = 1/8.

Some more concepts of probability are, Conditional probability,

A term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.

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Answer:

Approximately [tex]4.70 \times 10^{2}\; \rm J[/tex], assuming that [tex]g = 9.81\; \rm m \cdot s^{-2}[/tex].

Step-by-step explanation:

When the force [tex]F[/tex] is constant, moving by [tex]\Delta x[/tex] in the direction of the force would do a work of [tex]F \cdot \Delta x[/tex].

However, in this example, as an increasing portion of the chain gets lifted up, the force lifting the chain would increase in size. Hence, apply the integral form of this equation.

Let [tex]F(x)[/tex] denote the force required to lift the chain when the height above the ground is [tex]x[/tex] meters. At that moment, exactly [tex](x / 10)[/tex] of the chain would be above the ground. The mass of that much of the chain would be [tex](x / 10)\![/tex] the mass of the whole chain.

[tex]\begin{aligned}F(x) &= m(x) \cdot g \\ &= 60 \cdot \frac{x}{10} \cdot g = 6\, g\, x\end{aligned}[/tex].

Integrate with respect to [tex]x[/tex]:

[tex]\begin{aligned}\int \limits_{0}^{4} F(x) \cdot {\rm d} x &= \int \limits_{0}^{4} 6\, g\, x \cdot {\rm d} x \\ &= \left[(3\, g)\, x^{2}\right]_{x=0}^{x=4}\\ &= 48\, g \approx 4.7 \times 10^{2} \end{aligned}[/tex].

In other words, it would take approximately [tex]4.7 \times 10^{2}\; \rm J[/tex] of energy to raise one end of the chain to that height of [tex]4\; \rm m[/tex].

Answer:

It's -9/4 or -2 1/4. please mark me brainliest <3

Step-by-step explanation:

1) label x1, y1, x2, and y2.

x1     y1       x2 y2

(-12, 16)     (-4,-2)

2) Remember the formula is y2-y1

                                               --------

                                                x2-x1

3) substitute

-2-16

--------

-4-(-12)

4) two minuses (negatives) is a positive (+)

so,

-2-16             -18

---------=       --------

-4+12               8

5) simplify

-18 divided by 2          -9

-----                          =   -------    or -2 1/4

  8 divided by 2             4

Answer:

-1.75

Step-by-step explanation:

Answer:

Ricardo ran a total of 10.75 miles on Monday.

[tex]n =1.95[/tex]

Step-by-step explanation:

Given

[tex]10.75 = 5.5n[/tex]

Required

Which situation represents the equation and solve for n

The options show the relationship between distance, time and speed.

This is calculated as:

[tex]Distance = Speed * Time[/tex]

By comparison:

[tex]Distance = 10.75[/tex]

[tex]Speed = 5.5[/tex]

[tex]Time = n[/tex]

So, we can say that:

He ran 10.75 miles (option D)

Solving for n:

Make n the subject in [tex]10.75 = 5.5n[/tex]

[tex]\frac{10.75}{5.5} = n[/tex]

[tex]n = \frac{10.75}{5.5}[/tex]

[tex]n =1.95[/tex]

Answer:

y-intercept:  (0, -2)

Step-by-step explanation:

Determine by how much x (the run) and y (the rise) change as you go from (-4, -6) to (3, 1):  The change in x is 7 and that in y is also 7.  Thus, the slope is

m = 7/7, or m = 1.

Using the point-slope form and the point (3, 1), we get:

y - 1 = 1(x - 3), or y = 1 + x - 3, or y = x - 2

Comparing this to y = mx + b, we see that the y-intercept is -2.

Answer: Matt ate 1.5 pounds of strawberries.

Step-by-step explanation:

3 ÷ 1/2 = 1.5

Answer:

1.5 pounds

Step-by-step explanation:

Total of strawberries = 3 pounds

Mat eat half of the total of strawberries = 1/2 * 3 pounds = 1.5 pounds

Answer

24 cans

Step by Step explanation

10$ / 2.5$ = 4

6 * 4  = 24

Step-by-step explanation:

she has 3 because she make group of five n have one and then make a group of five and had two, so add two plus one it will give u three

Answer:

Step-by-step explanation:

A=P(1+rt)

A=10000(1+.056(3))

A=10000(1.168)

A=$11680

Remy took the loan for [tex]\$10,000[/tex] at an annual interest rate of [tex]5.6\%[/tex] and paid off the loan in [tex]36[/tex] months. She paid [tex]\$11680[/tex] Drop-down in all.

Interest is the charge you pay when you borrow money from someone or the cost you charge to lend money to someone.

Simple Interest [tex]=\frac{Principal \ * \ Rate \ * \ Time}{100}[/tex]

We have,

Principal[tex]=\$10,000[/tex],

Interest rate [tex]=5.6\%[/tex]

Time[tex]=36[/tex] months [tex]=3 years[/tex]

So,

Interest [tex]=\frac{Principal \ * \ Rate \ * \ Time}{100}[/tex]

              [tex]=\frac{10,000*5.6*3}{100}[/tex]

Interest [tex]= 1680[/tex]

So,

Total amount to be paid [tex]=( 10,000+1680)=\$11680[/tex]

So, the loan for [tex]\$10,000[/tex] at an annual interest rate of [tex]5.6\%[/tex] and time of [tex]36[/tex] months be paid [tex]\$11680[/tex] Drop-down in all.

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Answer:

$171.12

Step-by-step explanation:

Including the tip and cost, it is 171.12. Multiply 148.6 by 1.15, which includes the total cost plus another 15% for the tip.

Answer:

B. 13 small bags and 12 large bags

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of small bags.

y is the number of large bags.

The Tuesday morning delivery consists of 25 bags

This means that [tex]x + y = 25[/tex], that is [tex]y = 25 - x[/tex]

Bunyan Farm sells 3 pound and 5 pound bags of onions. Total of 99 pounds.

This means that [tex]3x + 5y = 99[/tex]

Since [tex]y = 25 - x[/tex]

[tex]3x + 5(25 - x) = 99[/tex]

[tex]3x + 125 - 5x = 99[/tex]

[tex]-2x = -26[/tex]

[tex]2x = 26[/tex]

[tex]x = \frac{26}{2}[/tex]

[tex]x = 13[/tex]

[tex]y = 25 - x = 25 - 13 = 12[/tex]

So 13 small bags and 12 large bags.

Answer:

(a - √b​)

Step-by-step explanation:

Roots occur as positive and negative conjugates. Therefore, the conjugate of (a + √b) is (a - √b)

Answer:

kwdgejyegjyfcsudyg

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

-20 and -40

quotient means divide one another

-20 / -40

= 20/40

= 2/4

= 0.5

I made these into tiny tiny steps, enjoy.

The translation of  the simplified algebraic expression for "the quotient of -20 and -40" is  [tex]\dfrac{1}{2}[/tex].

A collection of constants, variables or numbers connected using one or more arithmetic operator is called an algebraic expression .

Example = 4y, 3x+4.

The quotient of -20 and -40 can be written as:

[tex]\dfrac{-20}{-40}[/tex]

The expression can be simplified in the lowest form as;

[tex]\dfrac{-20}{-40}[/tex]    =     [tex]\dfrac{1}{2}[/tex]

So, the simplified algebraic expression for "the quotient of -20 and -40" is  [tex]\dfrac{1}{2}[/tex].

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Answer:

-25

Step-by-step explanation:

Given the equation 25 + x =

Subtract 25 from both sides

25 + x - 25 = 0 - 25

x = 0 - 25

x = -25

Hence the blank box will be -25

Answer:

D

Step-by-step explanation:

its not a parallelogram, so that is not possible

the rest are

i hope this helps!

Answer: C. 254

Step-by-step explanation: All engineers is the population so this is stats and the number that chose math no matter what kind of engineer is 254

Answer:

Its the third one

Step-by-step explanation:

Plot all of the points onto the graph, and draw a line through all of the points. It most closely resembles the third one

Answer:

400

Step-by-step explanation:

20 times 20

Answer:

the numbers are 10.6 and 10.2

Answer:

Step-by-step explanation:

Coefficients

The decimal numbers 5.3 and 8.2 represents the coefficient of 'x' and the coefficient of 'y', respectively.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ 5.3x - 8.2y + 11.1

The number associated with x is known as the coefficient of 'x'. And the number associated with y is known as the coefficient of 'y'.

The decimal numbers 5.3 and 8.2 represents the coefficient of 'x' and the coefficient of 'y', respectively.

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Answer:

I=P-A          

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