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mestny [16]
3 years ago
14

Which expressions are equivalent when m = 1 and m = 4?

Mathematics
2 answers:
s344n2d4d5 [400]3 years ago
8 0

Answer:

expression 2

Step-by-step explanation:

<h2><u>Which expressions are equivalent when m = 1 and m = 4?</u></h2>

<h3><u>first expression:</u></h3>

5m -3 and 2m + 5 + m

when m = 1

5(1) - 3 = 2  and 2(1) + 5 + 1 = 8

and m = 4

5(4) -3 =23 and  2(4) + 5 + 4 = 17

<u>expression 1 IS</u><u> NOT EQUIVALENT</u><u> </u>

<h3><u>second expression  :</u></h3>

3 m + 4 and m + 4 + 2 m

when m = 1

3 (1) + 4 = 7 and 1 + 4 +2 (1) = 7

and m = 4

3 (4) + 4 = 16 and 4 + 4 +2 (4) = 16

expression 2 <u>IS  EQUIVALENT </u>

<h3><u>third expression :</u></h3>

2 m + 7 and 3 m - 3 + m

when m = 1

2(1) + 7 = 9 and 3(1) -3 + 1 = 1

and m = 4

2(4) + 7 = 15  and 3(4) -3 + 4 = 13

expression 3 IS <u>NOT EQUIVALENT</u>

<h3><u>fourth expression :</u></h3>

5 m + 3 and 4 m + 2 + 2 m

when m = 1

5(1)+ 3 = 8  and 4(1) + 2 +2(1) = 8

and m = 4

5(4)+ 3 = 23  and 4(4) + 2 +2(4) = 26

expression 4 is <u>NOT EQUIVALENT </u>

the expression that is <u><em>EXPRESSION 2 </em></u>

andreev551 [17]3 years ago
4 0

Answer:

b

Step-by-step explanation:

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20 onions cost £3.00. 25 potatoes cost £6.25. Mr Dean needs 14 onions and 16 potatoes. Calculate the total cost.
enot [183]

Answer:

The total cost of 14 onions and 16 potatoes will be £6.10

Step-by-step explanation:

Let onion be n and potato by p

20n = £3.00

1n = £3.00/20

= £0.15

25p = £6.25

1p = £6.25/25

= £0.25

The cost of 1 onion is £0.15, and 1 potato is £0.25

Then the cost of 14 onion and 16 potatoes together will given as

14n + 16p

substituting the values of n and p, we will have

14*0.15 + 16*0.25

2.1 + 4

= £6.10

5 0
3 years ago
The following is the correct way to show the product for 0.453 × 8.1
solong [7]
False

The correct product has 3+1=4 decimal digits: 3.6693
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3 years ago
In a survey of 1,000 women aged 22 to 35 who work full time, 545 indicated that they would be willing to give up some personal t
sp2606 [1]

Answer:

Yes, there is convincing evidence that the majority of women age 22 to 35 who work full-time would be willing to give up some personal time for more money.

No ;

Step-by-step explanation:

n = 1000

x = 545

Phat = x / n = 545/1000 = 0.545

H0: p ≤ 0.5

H1: μ > 0.5

The test statistic :

(phat - p0) ÷ √(p(1 - P0) / n)

Test statistic :

(0.545 - 0.5) ÷ √(0.5(0.5) / 1000)

0.045 / 0.0158113

Test statistic = 2.846

α = 0.01

Decison :

Reject H0 ; if Pvalue < α

Using the Pvalue from Test statistic (Z) calculator :

Pvalue = 0.002214

With Pvalue < α ; We reject H0 and conclude that there is convincing evidence that the majority of women age 22 to 35 who work full-time would be willing to give up some personal time for more money.

No, making generalization about all women would not be reasonable as the data employed for the research mainly focuses on a particular

7 0
2 years ago
You have a cake that is 10 inches in diameter. You expect 12 people to share it, so you cut it into 12 equal slices. Before you
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Answer:

3.5355 inches

Step-by-step explanation:

Area should be same the concentric circle and rest piece .

let's consider the radius of concentric circle as r

so it's area is π r²

area of whole circle is π (5)" ( because diameter is 10 inches)

so the area of rest piece is π (5)² - π r²

π (5)² - π r² = π r²

5² = 2r²

r² = 25/2

r = √(25/2)

r = 3.5355 inches

4 0
2 years ago
4. Solve the following equations and verify your answers: (i) 3 (x + 7) = 18​
stiv31 [10]

Answer:

8.33333333333

Step-by-step explanation:

Solution for 3x-7=18 equation:

3x - 7 = 18

3x = 18 + 7

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3x/3 = 25/3

x = 8.33333333333

3 0
3 years ago
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