Mathematics, 24.11.2019 11:31 diametriagay

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. 5 b. 2 c. 4 d. 16
7. solve the inequality: 12p + 7 > 139 a. p > 11
b. p > 154
c. p > 18
d. p > 12
8. solve the equation: 7x = 42. a. x = 7
b. x = 6
c. x = – 7
d. x = – 6
9. solve this inequality: 9h + 2 < –79. a. h < – 9
b. h < –10
c. h < 10
d. h < 9
10. given the formula d = abc, what is the formula for c? a. c = ab ÷ d
b. c = d ÷ ab
c. c = ad ÷ c
d. c = abd
11. solve this equation: y/9 + 5 = 0.
a. y = –5 b. y = –45 c. y = 45 d. y = 5
12. solve the equation: 12y = 132. a. y = 11
b. y = 11/12 c. y = 144 d. y = 1/11
13. simplify and solve this equation for q: 3q + 5 + 2q – 5 = 65. a. q = 23
b. q = 11
c. q = 15
d. q = 13
14. given the formula k = lmn, what is the formula for m? a. m = k/ln
b. m = ln/k c. m = kl/n
d. m = lnk
15. solve the equation: h/9 = 7. a. h = 1 2/7
b. h = –63 c. h = 63
d. h = 7/9
16. simplify this expression: 4p + 9 + (–7p) + 2 = ? a. 11p + 11
b. 3p + 11
c. –3p + 11
d. 3p + 7
17. find the value of y in this equation: 16y = 164. a. 32
b. 180
c. 10 1/4
d. 16 1/4
18. solve this equation: 4y + 228 = 352. a. y = 145
b. y = – 31
c. y = 3
d. y = 31
19. given the formula e = ir what is the formula for r? a. r = i ÷ e
b. r = ie
c. r = ei d. r = e ÷ i
20. solve the following equation: 6y – 20 = 2y – 4. a. y = 3
b. y = 4
c. y = 16
d. y = 2

Answers: 2

Show answers

Answers

Answer from: kingbot350

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)

Answer from: ferny5133

1. -282 -(1017) = -282 - 1017 = - 1299
2. 35 - (10 + 3(9)) = 35 - (10 + 27) = 35 - 37 = -2
3. 3b - 7 < 323b < 32 + 73b < 39b < 39/3b < 13
4. 4m + 9 + 5m - 12 = 429m - 3 = 42...9m = 42 + 39m = 45m = 45/9...m = 5
5. 3 + (-12) - (-5) = 3 - 12 + 5 = 8 - 12 = -4
6. 4 times a number plus 3 is 114x + 3 = 11...4x = 11 - 34x = 8...x = 8/4x = 2
7. 12p + 7 > 139...12p > 139 - 712p > 132p > 132/12p > 11
8. 7x = 42...x = 42/7x = 6
9. 9h + 2 < -799h < -79 - 2...9h < -81h < -81/9...h < - 9
10. D = ABCC = D/AB
11. y/9 + 5 = 0...y/9 = -5y = -5*9...y = -45
12. 12y = 132y = 132/12...y = 11
13. 3q + 5 + 2q - 5 = 655q = 65q = 65/5q = 13
14. K = LMNM = K/LN
15. h/9 = 7h = 7*9...h = 63
16. 4p + 9 + (-7p) + 2 = 4p + 9 - 7p + 2 = -3p + 11
17. 16y = 164...y = 164/16...y = 10.25 or 10 1/4
18. 4y + 228 = 352...4y = 352 - 228...4y = 124y = 124/4...y = 31
19. E = IRR = E/I
20. 6y - 20 = 2y - 46y - 2y = -4 + 204y = 16...y = 16/4y = 4

Answer from: Quest

y - y1 = m(x- x1)

y - (-5) = 2/3(x -0)

y + 5 = 2/3x

y = 2/3x - 5

Answer from: Quest

step-by-step explanation:

i used the pitagoras theoreme

Arectangular sheet of paper is folded diagonally from f to h . what is the length of side gh?<

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1. solve this problem: –282 – (+1,017) = ? a. 735
b. –1,299
c. –735
d. 1,299

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