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beks73 [17]
3 years ago
10

1. Five times a whole number x is subtracted from 62 The result is less than 40

Mathematics
1 answer:
grandymaker [24]3 years ago
6 0

Answer:

Step-by-step explanation:

1.  Symbolically, we get:  62 - 5x < 40

2.  y - 7.3 < 3.4.  Solve for y by adding 7.3 to both sides, obtaining:

     y < 10.7    This is both the 'range' and the 'solution'

3a)      4b =  9b + 45, or -5b = 45, or b = -9

3b)      5a + 10 = 4a - 4

Combining like terms results in a = -14

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12. What percent of 60 is 12? Show your work.
lora16 [44]
12 is 20% of 60 because 12/60 = 0.2.
6 0
3 years ago
Read 2 more answers
A weekly report for new agents at a vacation sales company is shown in the histogram.
bearhunter [10]

Answer:

6

Step-by-step explanation:

More than 10 means 11, 12, 13, 14, 15, 16.

From the histogram, number of salespersons who sold

  • 11 -12 packages is 1;
  • 13-14 packages is 2;
  • 15-16 packages is 3.

In total, number of the new agents which sold more than 10 vacation packages is

1+2+3=6

8 0
3 years ago
James is playing his favorite game at the arcade. After playing the game 333 times, he has 888 tokens remaining. He initially ha
lesantik [10]

Answer:

t(g)= -4g + 20

Step-by-step explanation:

James is playing his favorite game at the arcade. After playing the game 3 times, he has 8 tokens remaining. He initially had 20 tokens, and the game costs the same number of tokens each time. The number tt of tokens James has is a function of gg, the number of games he plays

Solution

Let

g=No. of games James plays

t= No. of tokens James has.

Find the slope using

y=mx + b

Where,

m = Slope of line,

b = y-intercept.

Before James started playing the games, he has a total of 20 tokens.

That is, when g=0, t=20

After James played the games 3 times, he has 8 tokens left

That is, when g=3, t=8

(x,y)

(0,20) (3,8)

m=y2-y1 / x2-x1

=(8-20) / (3-0)

= -12 / 3

m= -4

Slope of the line, m= -4

y=mx + b

No. of tokens left depend on No. of games James plays

t is a function of g.

t(g)

t(g)= -4g + 20

3 0
3 years ago
2
docker41 [41]

Answer:

1115322

Step-by-step explanation:

In 1906, San Francisco felt the impact of an earthquake with a magnitude of 7.8.

Claimed statement is he worst is yet to come, with an earthquake 142,990 times  as intense as the 1906 earthquake ready to hit San Francisco.

We need to find the magnitude of their  claimed earthquake.

It can be calculated by simply multiplying 142,990 by 7.8 as follows :

E=142990 \times 7.8\\\\=1115322

The magnitude of claimed earthquake is 1115322 .

8 0
3 years ago
Find the sum of the following series
vazorg [7]

Answer:

a) 820

b)450

c)  -540

d) -294

e) 1440

f) 1425

Step-by-step explanation:

a) it is an arithmetic progression with ratio=4

   a1=3,

     a2=3+r=3+4=7.....

    a20=a1+19r

so a20=3+19*4=3+76=79

S=(a1+an)*n/2 where n=20

so S=(3+79)*20/2=820

b) a15=a1+14*r=2+14*4=2+56=58

S=(a1+a15)*15/2=(2+58)*15/2=60*15/2=30*15=450

It is the same formula for all  the exercises

S=(a1+an)*n/2 ,     where n is the number of terms

c) a40=30+39*(-3)=30-87=-57

So S=(30-57)*40/2=-540

d) a14=5+13*(-4)=5-52=-47

S=(5-47)*14/2=-42*14/2=-42*7=-294

e) it is 5+7+9+......+75

nr of  terms  = (an-a1) :r+1=(75-5):2+1=36

S=(5+75)*36/2=36*40=1440

f) ratio=7-4=3

the  same formula for n= (91-4):3+1=87:3+1=29+1=30

S=(4+91)*30/2=95*30/2=2850/2=1425

8 0
3 years ago
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