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nevsk [136]
3 years ago
10

Two-fifths of one less than a number is less than three-fifths of one more than that number. What numbers are in the solution se

t of this problem?
1) x<-5
2)x>-5
3)x>-1
4)x<-1
Mathematics
1 answer:
Anestetic [448]3 years ago
6 0
(2/5)(x-1)<(3/5)(x+1)  perform indicated multiplications

(2x-2)/5<(3x+3)/5  multiply both sides by 5

2x-2<3x+3  add 2 to both sides

2x<3x+5  subtract 3x from both sides

-x<5  divide both sides by -1  (remember to reverse direction of inequality sign when multiplying/dividing by a negative value)

x>-5
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ARGENTTTT!!!!
kobusy [5.1K]

Answer:

  D.  A travels 90 miles more

Step-by-step explanation:

The graph tells you Car A travels 140 miles on 5 gallons of gas. (There is a point marked there on the graph.)

The table tells you Car B travels 99 miles on 4.5 gallons of gas. When that is multiplied by 5/4.5 = 10/9 to get the equivalent for 5 gallons, we see that Car B could travel 10/9 × 99 = 110 miles on 5 gallons of gas.

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Already <em>on 5 gallons of gas</em>, Car A has traveled <em>30 miles farther</em>. The only sensible answer choice is ...

  D.  Car A travelled 90 miles more than Car B [when 15 gallons are used].

7 0
3 years ago
What is the sum of the arithmetic series 18 t=1 (3t-4)
PolarNik [594]

Consider the arithmetic series _{t=1}\Sigma^{t=18} (3t-4)

Let t=1 in the given series, we get

first term = a_{1} = 3-4 = -1.

Let t=2 in the given series, we get

second term = a_{2} = (3 \times 2)-4 = 2

Let t=3 in the given series, we get

third term = a_{3} = (3 \times 3)-4=5

Now, let t=18 in the given series, we get

last term = l = l = (3 \times 18)-4 = 50

We get the series as

-1, 2, 5,..... 50

Sum = \frac{n}{2}(a+l)

= \frac{18}{2}(-1+50)

= = 9 \times 49

= 441

Therefore, the sum of the given arithmetic series is 441.

7 0
4 years ago
Read 2 more answers
A small theater had 7 rows of 23 charis workers just removed 9 of these chairs
pshichka [43]

Answer:

152 Chairs

Explanation:

7 rows of 23 chairs: 7 · 23

7 · 23 = 161

Remove 9

161 - 9 = 152

6 0
3 years ago
Read 2 more answers
5(3x + 5)<br><br> ( Please Help )
BARSIC [14]
A(b+c) = ab + ac

5(3x + 5) = 15x + 25
7 0
3 years ago
PLEASE ANSWER ASAP
ycow [4]

Answer:

Steve

Step-by-step explanation:

Laura's total price: £950

Steve's price:

990 euro + 30 euro = 1020 euro

1020 euro × (£1)/(1.1 euro) = £927.27

Answer: Steve

4 0
3 years ago
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