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stepladder [879]
3 years ago
10

1/2 (a+b)-(a-b)2 what is the vule of the expression when a=18 and b=14

Mathematics
1 answer:
kirill115 [55]3 years ago
4 0

when \: a = 18 \: and \: b = 14 \\  \frac{1}{2} (18 + 14) - (18 - 14) ^{2}  \\  = 16 - ( {4}^{2} ) \\  = 16 - 16 \\  = 0
Hope this helps.
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A cash box of $1 and $5 bills is worth $45. The number of $1 bills is three more than the number of $5 bills. How many of each b
Softa [21]

Answer:

  • 7 $5 bills
  • 10 $1 bills

Step-by-step explanation:

If we take out the extra $3, we can group the bills into one each of $5 and $1, for a value of $6. There will be 7 such groups in the remaining $42.

That means there are 7 bills of the $5 denomination, and 3 more than that (10 bills) of the $1 denomination.

There are 7 $5 bills and 10 $1 bills.

_____

If you want to write an equation, it is usually best to let a variable stand for the most-valuable contributor. Here, we can let x represent then number of $5 bills. Then the value of the cash box is ...

  5x +(x+3) = 45

  6x = 42 . . . . . . . . subtract 3, collect terms

  x = 7 . . . . . . . . . . . there are 7 $5 bills

  x+3 = 10 . . . . . . . . there are 10 $1 bills

You may notice that this working parallels the verbal description above. (After we subtract $3, x is the number of $6 groups.)

6 0
3 years ago
What is the measure of angle C
maw [93]

Answer:

C = 77°

Step-by-step explanation:

From the intercepted arc theorem, we can say that Angle ABC (angle B) is HALF of the arc intercepted (which is 110).

Hence, angle ABC = 55.

Now, looking at triangle ABC, we know that sum of 3 angles of a triangle is 180. We already know Angle A to be 48 and Angle B to be 55, thus Angle C is:

A + B + C = 180

48 + 55 + C = 180

103 + C = 180

C = 180 - 103

C = 77

4 0
4 years ago
Read 2 more answers
20% of Ms. Martin's class did not complete their homework. If there are 30 students in her class, how many did not complete home
padilas [110]

Answer:

Step-by-step explanation:

20% of 30 is 6

Words: 6 Students in Ms. Martin's class did not do their homework.

hope this helps :)

7 0
2 years ago
Write a equation for 10 less than j is 35
kakasveta [241]

Answer:

j - 10 = 35

Step-by-step explanation:

Given: 10 less than j is 35.

To find: The equation of the given situation.

Solution: We need to write an equation for 10 less than j is 35.

Here, we will break down the sentence to form the equation.

10 less than j means j - 10.

Then, it says 10 less than j is 35 which means it is equal to 35.

So, the sentence 10 less than j is 35 can be written as 10 less than j is equal to 35.

Now, 10 less than j is equal to 35 can be shown as j - 10 = 35.

Therefore, the required equation is  j - 10 = 35.

6 0
3 years ago
Read 2 more answers
Flying against the wind, an airplane travels 4340 kilometers in 7 hours. Flying with the wind, the same plane travels 3120 kilom
Over [174]

The rate of the wind is given to be 210 the rate of the plane in mid air is given as 830

<h3>Howe to solve for the rate of the plane and wind</h3>

In 7 hours the kilometer traveled =  4340

P + W = 4340/7

= 620

P-W = 3120/3 hours

= 1040

2p = 1040 + 620

= 1660

p =830

W = 1040 - 830

= 210

Hence the rate of the wind is given to be 210 the rate of the plane in mid air is given as 830

Read more on rate here

brainly.com/question/24304697

#SPJ1

3 0
2 years ago
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