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Katen [24]
1 year ago
13

Here is another riddle: The sum of two numbers is less than 2. If we subtract the second number from the first, the difference i

s greater than 1. What are the two numbers? The riddle can be represented by a system of inequalities. Write an inequality for each statement.
Mathematics
1 answer:
aivan3 [116]1 year ago
4 0

Answer:

Let x, y be the two numbers under consideration. Then, x+y<2 and x-y>1.

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Isaac is purchasing two pairs of shoes—one pair for $37.00 and the second pair for $42.00. The state sales tax applied to Isaac’
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Answer:

Isaac's total bill is $84.53

Step-by-step explanation:

$37.00 + $42.00 = $79.00 < <em>b</em> (bill)

<em>b</em> + <em>t</em> (sales tax) = <em>c</em> (total cost)

(7%/100 = 0.07)

(0.07 * 79 = 5.53)

(<em>t</em> = $5.53)

$79.00 + $5.53 = $84.53

Good luck!!

6 0
1 year ago
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After working satisfactorily for 6 months, Dave received a 7% raise. His original gross monthly salary was $1083.34. What is Dav
Dmitriy789 [7]

Answer:

Step-by-step explanation:

His original gross monthly salary was $1083.34. This means that the total amount that he earned that he earned in the first 6 months would be

6 × 1083.34 = $6500.4

After working satisfactorily for 6 months, Dave received a 7% raise. The amount by which it was raised would be

7/100 × 6500.4 = $455.00

His salary for the next 6 months would be

6500.4 + 455.00 = $6955.40

Dave's gross annual salary would be

6955.40 + 6500.4

= $13455.8

7 0
1 year ago
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point M with coordinates (3,4) is the midpoint of the line AB and A has the point (-1,6). what is the point of B?
irina [24]

Answer:

  B = (7, 2)

Step-by-step explanation:

B = 2M -A

B = 2(3, 4) -(-1, 6) = (2·3-(-1), 2·4-6)

B = (7, 2)

_____

The expression for the other end point, B, comes from the equation for the midpoint.

  M = (A +B)/2

  2M = A + B . . . . . multiply by 2

  2M -A = B . . . . . . subtract A to get an expression for B

4 0
1 year ago
Alison wants to distribute the carnations and roses equally among the 6 flower shops. Factor the expression from Part A using 6
mixer [17]

Answer:

6

Step-by-step explanation:

3 0
1 year ago
Darcie wants to crochet a minimum of 3 blankets. Darcie crochets at a rate of 1/15 of a blanket a day. She has 60 days until she
NNADVOKAT [17]

Answer:

The inequality to determine the number of days, s, Darcie can skip crocheting and still meet her goal can be given as:

s\leq 15

Step-by-step explanation:

The complete question is:

Darcie wants to crochet a minimum of 3 blankets to donate to a homeless shelter. Darcie crochets at a rate of 1/15 of a blanket per day. She has 60 days until when she wants to donate the blankets, but she also wants to skip crocheting some days so she can volunteer in other ways. Write an inequality to determine the number of days, s, Darcie can skip crocheting and still meet her goal.

Solution:

Given:

Darcie wants to crochet a minimum of 3 blankets to donate.

Rate at which she crochet = \frac{1}{15} of a blanket per day.

Maximum number of days she has = 60.

To find the number of days Dancie can skip out of 60 days and still reach her goal.

Let s represent the number of days she can skip.

Number of days left to crochet = (60-s) days

At rate of  \frac{1}{15} of a blanket per day, number of blankets Dancie can corchet in (60-s) days can be given as :

⇒ \frac{1}{15}(60-s)

Simplifying using distribution.

⇒ (\frac{1}{15}.60)-(\frac{1}{15}.s)

⇒ 4-\frac{s}{15}

Dancie needs to crochet a minimum of 3 blankets to reach her goal.

Thus, the inequality can be given as:

4-\frac{s}{15}\geq 3

Solving the inequality for s

Subtracting 4 both sides.

4-4-\frac{s}{15}\geq 3-4

-\frac{s}{15}\geq -1

Multiplying both sides by -15.

-15(-\frac{s}{15})\leq -15(-1) [On multiplying by a negative number the sign of inequality reverse]

∴ s\leq 15

Thus, Dancie can skip a maximum of 15 days.

5 0
2 years ago
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