Simplify the expression. 28 + 4 2 A. 9 B. 11, №18010025, 10.07.2021 08:29

Mathematics

Simplify the expression. 28 + 4 2 A. 9 B. 11 C. 16 D. 22

Step-by-step answer

P Answered by Specialist

C) 16

Step-by-step explanation:

$\dfrac{28+4}{2}=\dfrac{32}{2}=16$

Mathematics

1. solve this problem: –282 – (+1,017) = ? a. 735 b. –1,299 c. –735 d. 1,299 2. sue has a balance of $35 in her checking account. she writes one check for $10, and three checks for $9 each. what is her balance now? a. –$2 b. $54 c. –$11 d. $18 3. solve this inequality: 3b – 7 32 a. b 13 b. b 5 c. b 39 d. b 8.33 4. simplify and solve this equation: 4m + 9 + 5m – 12 = 42. a. m = –5 b. m = 4 c. m = -4 d. m = 5 5. simplify this expression: 13 + (–12) – (–5) = ? a. 30 b. –30 c. –6 d. 6 6. if four times a number plus 3 is 11, what is the number? a.

Step-by-step answer

P Answered by PhD

30

The correct answers are:

(1) (Option B) -1299

(2) (Option A) -2

(3) (Option A) b < 13

(4) (Option D) m = 5

(5) (Option D) 6

(6) (Option B) 2

(7) (Option A) p > 11

(8) (Option B) x = 6

(9) (Option A) h < –9

(10) (Option B) C = D ÷ AB

(11) (Option B) y = –45

(12) (Option A) y = 11

(13) (Option D) q = 13

(14) (Option A) M = K/LN

(15) (Option C) h = 63

(16) (Option C) –3p + 11

(17) (Option C) $10\frac{1}{4}$

(18) (Option D) y = 31

(19) (Option D) R = E ÷ I

(20) (Option B) y = 4

Explanations:

(1) The Given Expression:

-282 - (+1017)

= -282 - 1017

= -1299 (Option B)

(2) The total balance = $35

One check = $10

Three checks = 3 * $9 = $27

Balance now = Total balance - One check + Three check = $35 - $10 - $27 = -2 (Option A)

(3) The given expression:

3b – 7 < 32

Add 7 on both sides:

3b -7 + 7 < 32 + 7

3b < 39

Divide by 3 on both sides:

$\frac{3b}{3}$

b < 13 (Option A)

(4) The given expression:

4m + 9 + 5m – 12 = 42

9m = 42 + 12 - 9

9m = 45

Divide both sides with 9:

$\frac{9m}{9} =\frac{45}{9} \\ m=5$

The correct answer is m=5 (Option D)

(5) The given expression:

13 + (–12) – (–5)

= 13 - 12 + 5

= 6 (Option D)

(6) Mathematically, we can write "four times a number plus 3 is 11" as:

4x + 3 = 11

Where,

x = The number we require

4x = 11 - 3

4x = 8

x = 2 (Option B)

(7) The given expression:

12p + 7 > 139

Subtract 7 on both sides:

12p + 7 - 7 > 139 -7

12p > 132

Divide 12 on both sides:

$\frac{12p}{12} \frac{132}{12}$

p > 11 (Option A)

(8) The given equation:

7x = 42

Divide the equation with 7 on both sides:

$\frac{7x}{7} =\frac{42}{7}$

x = 6 (Option B)

(9) The given expression:

9h + 2 < –79

Subtract 2 on both sides:

9h + 2 - 2 < -79 - 2

9h < -81

h < -9 (Option A)

(10) The given equation:

D = ABC

Now divide both sides with AB on both sides:

$\frac{D}{AB} =\frac{ABC}{AB} \\ C =\frac{D}{AB}$

Hence C = D ÷ AB (Option B)

(11) Given equation:

$\frac{y}{9} + 5 = 0$

Subtract 5 on both sides:

$\frac{y}{9} +5 -5 = 0 -5$

y = -5*9 = -45

y = -45 (Option B)

(12) Given equation:

12y = 132

Divide both sides by 12:

$\frac{12y}{12} =\frac{132}{12}$

y = 11 (Option A)

(13) The given equation:

3q + 5 + 2q – 5 = 65

5q = 65

Divide both sides with 5 and simplify:

q = 13 (Option D)

(14) Given formula:

K = LMN

To find M, divide both sides with LN:

$\frac{K}{LN} =\frac{LMN}{LN} \\ M = \frac{K}{LN}$

Hence the correct answer is $M = \frac{K}{LN}$ (Option A)

(15) Given formula:

h/9 = 7

Multiply both sides with 9:

h = 7 * 9

h = 63 (Option C)

(16) Given expression:

4p + 9 + (-7p) + 2

4p + 9 -7p +2

-3p + 11 (Option C)

(17) The given formula:

16y = 164

Divide both sides with 16:

$\frac{16y}{16} =\frac{164}{16} \\ y = 10\frac{1}{4}$

Hence the correct answer is (Option C) $y = 10\frac{1}{4}$

(18) Given equation:

4y + 228 = 352

Subtract both sides with 228:

4y + 228 - 228 = 352 - 228

4y = 124

Divide both sides by 4 and simplify:

y = 31 (Option D)

(19) The given formula:

E = IR

To find R, divide both sides with I:

R = E ÷ I (Option D)

(20) Given equation:

6y - 20 = 2y - 4

=> 6y - 2y = -4 + 20

=> 4y = 16

Divide both sides with 4 and simplify:

y = 4 (Option B)

Mathematics

1. solve this problem: –282 – (+1,017) = ? a. 735 b. –1,299 c. –735 d. 1,299 2. sue has a balance of $35 in her checking account. she writes one check for $10, and three checks for $9 each. what is her balance now? a. –$2 b. $54 c. –$11 d. $18 3. solve this inequality: 3b – 7 32 a. b 13 b. b 5 c. b 39 d. b 8.33 4. simplify and solve this equation: 4m + 9 + 5m – 12 = 42. a. m = –5 b. m = 4 c. m = -4 d. m = 5 5. simplify this expression: 13 + (–12) – (–5) = ? a. 30 b. –30 c. –6 d. 6 6. if four times a number plus 3 is 11, what is the number? a.

Step-by-step answer

P Answered by PhD

30

The correct answers are:

(1) (Option B) -1299

(2) (Option A) -2

(3) (Option A) b < 13

(4) (Option D) m = 5

(5) (Option D) 6

(6) (Option B) 2

(7) (Option A) p > 11

(8) (Option B) x = 6

(9) (Option A) h < –9

(10) (Option B) C = D ÷ AB

(11) (Option B) y = –45

(12) (Option A) y = 11

(13) (Option D) q = 13

(14) (Option A) M = K/LN

(15) (Option C) h = 63

(16) (Option C) –3p + 11

(17) (Option C) $10\frac{1}{4}$

(18) (Option D) y = 31

(19) (Option D) R = E ÷ I

(20) (Option B) y = 4

Explanations:

(1) The Given Expression:

-282 - (+1017)

= -282 - 1017

= -1299 (Option B)

(2) The total balance = $35

One check = $10

Three checks = 3 * $9 = $27

Balance now = Total balance - One check + Three check = $35 - $10 - $27 = -2 (Option A)

(3) The given expression:

3b – 7 < 32

Add 7 on both sides:

3b -7 + 7 < 32 + 7

3b < 39

Divide by 3 on both sides:

$\frac{3b}{3}$

b < 13 (Option A)

(4) The given expression:

4m + 9 + 5m – 12 = 42

9m = 42 + 12 - 9

9m = 45

Divide both sides with 9:

$\frac{9m}{9} =\frac{45}{9} \\ m=5$

The correct answer is m=5 (Option D)

(5) The given expression:

13 + (–12) – (–5)

= 13 - 12 + 5

= 6 (Option D)

(6) Mathematically, we can write "four times a number plus 3 is 11" as:

4x + 3 = 11

Where,

x = The number we require

4x = 11 - 3

4x = 8

x = 2 (Option B)

(7) The given expression:

12p + 7 > 139

Subtract 7 on both sides:

12p + 7 - 7 > 139 -7

12p > 132

Divide 12 on both sides:

$\frac{12p}{12} \frac{132}{12}$

p > 11 (Option A)

(8) The given equation:

7x = 42

Divide the equation with 7 on both sides:

$\frac{7x}{7} =\frac{42}{7}$

x = 6 (Option B)

(9) The given expression:

9h + 2 < –79

Subtract 2 on both sides:

9h + 2 - 2 < -79 - 2

9h < -81

h < -9 (Option A)

(10) The given equation:

D = ABC

Now divide both sides with AB on both sides:

$\frac{D}{AB} =\frac{ABC}{AB} \\ C =\frac{D}{AB}$

Hence C = D ÷ AB (Option B)

(11) Given equation:

$\frac{y}{9} + 5 = 0$

Subtract 5 on both sides:

$\frac{y}{9} +5 -5 = 0 -5$

y = -5*9 = -45

y = -45 (Option B)

(12) Given equation:

12y = 132

Divide both sides by 12:

$\frac{12y}{12} =\frac{132}{12}$

y = 11 (Option A)

(13) The given equation:

3q + 5 + 2q – 5 = 65

5q = 65

Divide both sides with 5 and simplify:

q = 13 (Option D)

(14) Given formula:

K = LMN

To find M, divide both sides with LN:

$\frac{K}{LN} =\frac{LMN}{LN} \\ M = \frac{K}{LN}$

Hence the correct answer is $M = \frac{K}{LN}$ (Option A)

(15) Given formula:

h/9 = 7

Multiply both sides with 9:

h = 7 * 9

h = 63 (Option C)

(16) Given expression:

4p + 9 + (-7p) + 2

4p + 9 -7p +2

-3p + 11 (Option C)

(17) The given formula:

16y = 164

Divide both sides with 16:

$\frac{16y}{16} =\frac{164}{16} \\ y = 10\frac{1}{4}$

Hence the correct answer is (Option C) $y = 10\frac{1}{4}$

(18) Given equation:

4y + 228 = 352

Subtract both sides with 228:

4y + 228 - 228 = 352 - 228

4y = 124

Divide both sides by 4 and simplify:

y = 31 (Option D)

(19) The given formula:

E = IR

To find R, divide both sides with I:

R = E ÷ I (Option D)

(20) Given equation:

6y - 20 = 2y - 4

=> 6y - 2y = -4 + 20

=> 4y = 16

Divide both sides with 4 and simplify:

y = 4 (Option B)

Mathematics

10 questions for the total of 50 answer ! i need and ! and will mark ! simplify each expression! will give 10 points! 1.) 4² + (4 × 2³) a 528 b 48 c 32 d 160 2.) (-3)⁴ a 12 b -12 c -81 d 81 evaluate the given expression for the given value will give 10 points 3.) -2n² + 5n + 9 for n=2 a 11 b -9 c -27 d 7 4.) 3x³ for x=-3 a 728 b -81 c 81 d -729 5.) 4r² - 2s³ for r=1 and s=5 will give 10 ! the formula for the area of a triangle is a=1/2bh , where b is the base of the triangle and h is the height of the triangle. what is the base of the triangle

Step-by-step answer

P Answered by Master

5

1)b.48 2)d.81 3)a.11 4)b.–81 5)–246 c.5ft a.19 9/25 in² d.11 mi/h a.48 C.a=m–c/–b

Step-by-step explanation:

4²+(4×2³)=16+(4×8)=16+32=48

(–3)⁴=3²×3²=9×9=81

–2n²+5n+9 (n=2)

–2(2²)+5(2)+9=–2×4+5×2+9=–8+10+9=11

3x³ (x=–3)

3(–3)³=3×–27=–81

4r²–2s³ (r=1 s=5)

4×1–2×125=4–250=–246

A=½bh. ½b=A/h. b=2A/h

then b=(2×30)÷12=5ft

area of a square=s×s=

$4 \times \frac{2}{5} \times 4 \times \frac{2}{5} = \frac{22}{5} \times \frac{22}{5} = \frac{484}{25} = 19 \times \frac{9}{25} {in}^{2}$

d=rt then r=d/t

then r=15.4÷1.4=11 mi/h

(–h–3j)²/h (h=3, j=–5)

(–3–3×–5)²÷3=(12)²÷3=144÷3=48

m=c–ab m–c=–ab m–c/–b=a

Mathematics

10 questions for the total of 50 answer ! i need and ! and will mark ! simplify each expression! will give 10 points! 1.) 4² + (4 × 2³) a 528 b 48 c 32 d 160 2.) (-3)⁴ a 12 b -12 c -81 d 81 evaluate the given expression for the given value will give 10 points 3.) -2n² + 5n + 9 for n=2 a 11 b -9 c -27 d 7 4.) 3x³ for x=-3 a 728 b -81 c 81 d -729 5.) 4r² - 2s³ for r=1 and s=5 will give 10 ! the formula for the area of a triangle is a=1/2bh , where b is the base of the triangle and h is the height of the triangle. what is the base of the triangle

Step-by-step answer

P Answered by Specialist

5

1)b.48 2)d.81 3)a.11 4)b.–81 5)–246 c.5ft a.19 9/25 in² d.11 mi/h a.48 C.a=m–c/–b

Step-by-step explanation:

4²+(4×2³)=16+(4×8)=16+32=48

(–3)⁴=3²×3²=9×9=81

–2n²+5n+9 (n=2)

–2(2²)+5(2)+9=–2×4+5×2+9=–8+10+9=11

3x³ (x=–3)

3(–3)³=3×–27=–81

4r²–2s³ (r=1 s=5)

4×1–2×125=4–250=–246

A=½bh. ½b=A/h. b=2A/h

then b=(2×30)÷12=5ft

area of a square=s×s=

$4 \times \frac{2}{5} \times 4 \times \frac{2}{5} = \frac{22}{5} \times \frac{22}{5} = \frac{484}{25} = 19 \times \frac{9}{25} {in}^{2}$

d=rt then r=d/t

then r=15.4÷1.4=11 mi/h

(–h–3j)²/h (h=3, j=–5)

(–3–3×–5)²÷3=(12)²÷3=144÷3=48

m=c–ab m–c=–ab m–c/–b=a

Mathematics

Find the simplified form of (6q^6)^-4 a. 6q^1,296 b. 1,296q^2 c. 1/1,296q^24 d. 6q^-24 find the simplified form of the expression (3/5y^4)^-2 a. 6/10y^16 b. 10y^16/6 c. 9/25y^8 d. 25y^8/9 find the simplified form of the expression (x^4/5y^3)^-2 a. x^8/-25y^6 b. 25y^6/x^8 c. 10y^5/x^6 d. x^6/-10y^5 a population of 900 beard decreases by 15% per year. how many bears will there be in the population after 7 years? round your answer to the nearest whole number. a. 289 b. 2,394 c. 9 d. 795 what is the value of 10x^-3y^-1 for x=-1 and y=-3? a. 10(3)^-4

Step-by-step answer

P Answered by Master

4

I'll solve the first one here:

$(6q^6)^{-4}=6^{-4}\cdot(q^6)^{-4}= \frac{1}{6^4} \cdot q^{-24}= \dfrac{1}{6^4q^{24}} \\ \\ 
 \dfrac{1}{1296q^{24}}$

Written in plain text:
1/(1296q^24)

Go ahead and post the rest of problems separately and we will be happy to help. :)

Mathematics

Check my answers 1. –9x – 5 = –95 a. 17 b. 11 c. 10 *** d. –10 2. w over four – 4 = 3 a. –4 b. 28 *** c. 3 d. 11 3. d over three + 10 = 7 a. 51 b. 20 c. 0 d. –9 *** 4. 2(2 – 2x) = –3x a.–4 b. 4 *** c. 6 d. 0 5. 2.9n + 1.7 = 3.5 + 2.3n a. 3 *** b. –3 c. 1.3 d. 1 for questions 6–7, simplify the expression. 6. –6 – 7(c + 10) a. 64 – 7c b. –76 – 7c *** c. 4 – 13c d. –16 – 13c 7. 5x + 6(x – 2) – 8(x – 3) a. 19x + 36 b. 19x + 12 c. 3x – 36 d. 3x + 12 *** for questions 8–10, solve the inequality. 8. c + 6 –20 a. c –26 b. c –14 *** c. c 26 d. c 14 9. r

Step-by-step answer

P Answered by Master

24

1 is correct
2 is correct
3 is correct
4 is correct
5 is correct
6 is correct
7 is correct
8 is wrong it should be because you wouldn't add the you would subtract it and the otehr number is a negative so it would be x=-26
9 is correct
10 is correct
13 is correct
14 I think is correct
I think 15 is incorrect because if he says one less than twice the number of last year then I think you first shoudl subtract 1 from 25 and then divide by 2 this would give you 17 packeges
and I think 16 is correct too..

Hope this helped

Mathematics

Find the simplified form of (6q^6)^-4 a. 6q^1,296 b. 1,296q^2 c. 1/1,296q^24 d. 6q^-24 find the simplified form of the expression (3/5y^4)^-2 a. 6/10y^16 b. 10y^16/6 c. 9/25y^8 d. 25y^8/9 find the simplified form of the expression (x^4/5y^3)^-2 a. x^8/-25y^6 b. 25y^6/x^8 c. 10y^5/x^6 d. x^6/-10y^5 a population of 900 beard decreases by 15% per year. how many bears will there be in the population after 7 years? round your answer to the nearest whole number. a. 289 b. 2,394 c. 9 d. 795 what is the value of 10x^-3y^-1 for x=-1 and y=-3? a. 10(3)^-4

Step-by-step answer

P Answered by Specialist

4

I'll solve the first one here:

$(6q^6)^{-4}=6^{-4}\cdot(q^6)^{-4}= \frac{1}{6^4} \cdot q^{-24}= \dfrac{1}{6^4q^{24}} \\ \\ 
 \dfrac{1}{1296q^{24}}$

Written in plain text:
1/(1296q^24)

Go ahead and post the rest of problems separately and we will be happy to help. :)

Mathematics

Check my answers 1. –9x – 5 = –95 a. 17 b. 11 c. 10 *** d. –10 2. w over four – 4 = 3 a. –4 b. 28 *** c. 3 d. 11 3. d over three + 10 = 7 a. 51 b. 20 c. 0 d. –9 *** 4. 2(2 – 2x) = –3x a.–4 b. 4 *** c. 6 d. 0 5. 2.9n + 1.7 = 3.5 + 2.3n a. 3 *** b. –3 c. 1.3 d. 1 for questions 6–7, simplify the expression. 6. –6 – 7(c + 10) a. 64 – 7c b. –76 – 7c *** c. 4 – 13c d. –16 – 13c 7. 5x + 6(x – 2) – 8(x – 3) a. 19x + 36 b. 19x + 12 c. 3x – 36 d. 3x + 12 *** for questions 8–10, solve the inequality. 8. c + 6 –20 a. c –26 b. c –14 *** c. c 26 d. c 14 9. r

Step-by-step answer

P Answered by Master

24

1 is correct
2 is correct
3 is correct
4 is correct
5 is correct
6 is correct
7 is correct
8 is wrong it should be because you wouldn't add the you would subtract it and the otehr number is a negative so it would be x=-26
9 is correct
10 is correct
13 is correct
14 I think is correct
I think 15 is incorrect because if he says one less than twice the number of last year then I think you first shoudl subtract 1 from 25 and then divide by 2 this would give you 17 packeges
and I think 16 is correct too..

Hope this helped

Mathematics

Check my answers? complete. 1. k^2+5k+6=(k+2)(k+□) a. 3 b. 6 c. 12 d. 4 2. x^2+7x+10=(x-5)(x-□) a. 1 b. 2 c. 4 d. 5 3. v^2+12v+20 = (v+10(v+□) a. 10 b. 20 c. 40 d. 2 factor the expression: 4. t^2 +10t +16 a. (t+2)(t+5) b. (t+2)(t+8) c. (t+4)(t+4) d. (t+5)(t+4) 5. n^2-15n+56 a. (n+7)(n+8) b. (n+7)(n-8) c. (n-7)(n-8) d. (n-7)(n-8) 6. q^2-8q+12 a. (q-4)(q-3) b. (q-4)(q-2) c. (q+6)(q+2) d. (q-6)(q-2) complete: 7. z^2-2z-48=(z-8)(z+□) a. 3 b. 6 c. 12 d. 4 factor the expression: 8. w^2-7w-8 a. (w-8)(w-1) b. (w-2)(w-4) c. (w-8)(w+1) d. (w+8)(w-1) 9. r^2

Step-by-step answer

P Answered by PhD

169

These are the wrong ones with the correct
1. a
2. b
3. d
6. d
7. b
If you want me to explain how to get these I can.

Simplify the expression.
28 + 4
2
A. 9
B. 11
C. 16
D. 22

Step-by-step answer

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