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Luden [163]
2 years ago
14

Write an algebraic expression that models the following statement:

Mathematics
1 answer:
koban [17]2 years ago
8 0

Answer:

4(x+7)

or 4x+28

Step-by-step explanation:

Here you go:)

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The Johnsons own a home whose market value is $93,000. Their municipality taxes at 80% and the rate is 65 mills or $65 per thous
Serjik [45]

Answer:

6760

Step-by-step explanation:

80% x 93000 = 74400

74.4 x 65 = 6760

5 0
3 years ago
Read 2 more answers
A bag contains even and odd numbered balls in the ratio of 3:7, respectively. For each of the following, what is the probability
Gre4nikov [31]

Answer:

a) 0.425

b) 0.65

c) 0.575

Step-by-step explanation:

The ratio of even balls to odd balls is 3:7.  That means if there are 3 even balls, then there are 7 odd balls.  That makes a total of 10 balls, of which 30% are even and 70% are odd.

a) There are 240 balls, so originally, 72 are even and 168 are odd.  30 of the odd balls are renumbered by multiply by 4.  An odd number times an even number is an even number, so 30 of the odd balls become even balls.  So there are now 102 even balls and 138 odd balls.  Therefore:

P(even) = 102 / 240

P(even) = 0.425

b) Originally, 70% of the balls are odd.  Half of those are renumbered by multiplying by 6, so they become even numbers.

P(odd) = 0.5 (70%) = 35%

P(even) = 30% + 35% = 65%

A third of the even balls are renumbered by multiplying by 5, so they remain even numbers.

Therefore, P(even) = 0.65.

c) Originally, 30% of the balls are even.  Half of those are renumbered by adding 3.  An even number plus an odd number is an odd number, so:

P(even) = 0.5 (30%) = 15%

P(odd) = 70% + 15% = 85%

Next, half the odd balls are renumbered by adding 5.  An odd number plus an odd number is an even number, so:

P(odd) = 0.5 (85%) = 42.5%

P(even) = 15% + 42.5% = 57.5%

Therefore, P(even) = 0.575.

8 0
2 years ago
Value Mart is advertising a back to school sale on pencils a pack of 30 sells for$7.97 where a 12pack of the same brand costs $4
weeeeeb [17]

pack of 30:

7.97/30=.27 per pencil

pack of 12:

4.77/12=

.40 per pencil

The best buy is pack  of 30 because:

.27<.40

4 0
3 years ago
I would like assistance, please.
makvit [3.9K]
Answers:
(2) Option (B) 4
(3) The answer is: +1

Explanations:
(2) The plus sign in the limit indicates that it is the right hand limit. So we have to approach to 2 from the right side of the graph. When we do that, we see the value of y = +4. Hence the correct option is (B) 4

NOTE: Although the question seems complex because there is slope involved but in this particular case, the examiner is concerned about the right hand limit.

(3) The minus sign in the limit indicates that it is the left hand limit. So we have to approach to 3 from the left side of the graph. When we do that, we see the value of y = +1. Hence the correct answer is +1.
3 0
3 years ago
In the adjoining equilateral triangle PQR , X , Y and Z are the middle points of the sides PQ , QR and RP respectively. Prove th
olasank [31]

Answer:

See Below

Step-by-step explanation:

<u>Statements:</u>                                                        <u>Reasons:</u>

<u />1)\text{ } \Delta PQR\text{ is equilateral}                                        Given

2)\text{ }PQ=QR=RP                                               Definition of Equilateral

3)\text{ } X, Y, Z\text{ are the midpoints of } PQ, QR, RP       Given

4)\text{ } PX=XQ                                                        Definition of Midpoint

5)PQ=PX+XQ                                               Segment Addition

6)\text{ } PQ=2XQ                                                      Substitution

7)\text{ } QY=YR                                                        Definition of Midpoint

8)\text{ }QR=QY+YR                                               Segment Addition

9)\text{ } QR=2QY                                                       Substitution

10)\text{ } 2XQ=2QY                                                  Substitution

11)\text{ } XQ=QY                                                      Division Property of Equality

12)\text{ }  XQ=PX=QY=YR                                Transitive Property

13)\text{ } RZ=ZP                                                       Definition of Midpoint

14)\text{ } RP=RZ+ZP                                             Segment Addition

15)\text{ } RP=2RZ                                                     Substitution

16)\text{ } 2XQ=2RZ                                                   Substitution

17)\text{ } XQ=RZ                                                       Substitution

18)\text{ } XQ=PX=QY=YR=RZ=ZP            Transitive Property

19)\text{ } \angle Q\cong \angle R\cong \angle P                                             Definition of Equilateral

20)\text{ } \Delta XQY\cong \Delta YRQ \cong \Delta ZPX                          SAS Congruence

21)\text{ } XY\cong YZ\cong ZX                                           CPCTC

22)\text{ } \Delta XYZ\text{ is equilateral}                                     Equilateral Triangle Theorem

5 0
3 years ago
Read 2 more answers
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