MATHEMATICS MIDDLE SCHOOL

5 times the sum of 12 and a number is 80
What is the value of the unknown number

Answers

Answer 1
Answer:

Answer:

4

Step-by-step explanation:

5(12+x)=80          Create equation. x is the unknown number.

60+5x=80           Distributive property.

5x=20                  Isolate variable.

x=4                       Divide on both sides by the coefficient.

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Use the fact that 4.86 : 0.45 = 10.8. Find 4.86 : 4.5 without dividing. Explain your work

Answers

Answer:

Hence, the value of expression (2) is ⇒ 1.08.

Step-by-step explanation:

We are given a fact such that:

4.86 : 0.45=10.8  ------(1)

Now we are asked to find the value of the mathematical expression:

4.86 : 4.5  --------(2) without actually dividing.

We could clearly see that the numerator in both the mathematical expression is same only there is a difference in there denominator.

The denominator in second expression is just a multiplication of the denominator of first expression by 10.

Hence we divide both side of expression (1) by 10 to obtain the expression (2).

i.e. 4.86: (0.45×10)=10.8:10

i.e.  4.86: 4.5= 1.08

Hence, the value of expression (2) is 1.08.

Answer:

Step-by-step explanation:

How many inches are in 100 ft

Answers

There are 12 inches in one foot, so to find out how many inches are in 100 feet, we just need to multiply 12 by 100.

12 * 100 = 1200

There are 1,200 inches in 100 feet.
Hope that helped! =)

If two hamburger and one soda cost $6 and one hamburger and two sodas cost $4.50, find the cost of one hamburger and one soda.

Answers

One hamburger and one soda would cost $3.50.
Because one hamburger costs $2.50, and one soda costs $1.00.
And if two hamburgers and one soda costs $6.00, 2x$2.50(Hamburgers)=$5+$1(Soda)=$6. One hamburger and two sodas costs $4.50. 2x$1.00(Soda)=$2.00+$2.50=$4.50.

44 × 20 × 10 = 440 × 2. but is it true or false ?

Answers

If you would like to know if 44 * 20 * 10 equals to 440 * 2, you can check it like this:

44 * 20 * 10 = 440 * 20 = 8800
and
440 * 2 = 880

So, the correct result is False, because 8800 is not equal to 880.
it's false because they both don't equal 880: 44 x 20 x 10= 8,880 and 440 x 2= 880
hope this helps :)

Javier has a job installing windows. He earns a rate of $75 per day plus $8 per window installed. He also receives a stipend of $25 for snacks. Javier knows his weekly earnings can be shown with the following expression: 75d + 8w + 25
Part A: Identify a coefficient, a variable, and a constant in this expression.
Part B: If Javier works for 5 days and installs 48 windows, how much does he earn? Show your work to receive full credit.
part C: If Javier gets an increase in his stipend and receives $40 for snacks, would the coefficient, variable, or constant in the equation change? Why?

Answers

A. a coefficient would be 75 or 8. The variables d and w as the constant is 25.

B. 75d+8w+25
75(5)+8(48)+25
375+384+25
400+384
784

Javier earns $784

C. If Javier gets an increase in his stipend and receives $40 for snacks, the constant in the equation would change because The coefficients are affected by the amount of days or windows he worked/installed while the constant before, of $25, is non-related to the work due to the fact that its used for snacks. And since his stipend for snack increases, only the constant changes.

A kite has a string that is 300 ft long, The flying kite forms a 62°angle with ahorizontal line running parallel to the ground the bottom end of the string
is 6 ft off the ground. How high is the kite? Round your answer to the nearest
tenth

Answers

The height of the kite from the ground is 270 feet.

What are trigonometric identities?

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

                                    B

                              /      |

        300 ft      /            |

                   /                 |

             /                       |

       /                             |

  A_62°___________|C

  |                      

  |   6 feet

E|________________D

Now,

Sin 62° = BC/AB

0.88 = BC/300

BC = 0.88 x 300

BC = 264 ft

Now,

The height of the kite from the ground.

= BC + CD

= 264 + 6

= 270 ft

Thus,

The height of the kite from the ground is 270 feet.

Learn more about trigonometricidentities here:

brainly.com/question/14746686

#SPJ5

Answer:

270.9 ft

Step-by-step explanation:

6 + 300sin(62)

= 270.8842779 ft
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