Write the algebraic expression to represent the following:
'Twenty more than twice a number .'

Answer:

-10, -8

Step-by-step explanation:

a + b = -18

a * b = 80

Solve:

from the first eq.

a = 18 - b

replacing this value in the secon eq.

(18-b)*b = 80

18*b + b*-b = 80

-b² + 18b = 80

-b² + 18b - 80 = 0

b = {-18±√((18)² - (4*-1*-80))] /(2*-1)

b = {-18±√(324.320)} / -2

b = {-18±√4} / -2

b = {-18±2} / -2

b₁ = {-18-2} / -2 = -20/-2 = 10

b₂ = {-18+2} / -2 = -16/-2 = 8

The two number must be negatives, so the numbers are:

-10 and -8

Check:

-10 + (-8) = -10 - 8 = -18

-10*-8 = 80

Answer:

a= $1,068 without overtime pay

b= $1,122 with overtime pay

Step-by-step explanation:

[tex]a = (12 \times 49) + (12 \times 40) \\ = 1068[/tex]

[tex]b = (9(12 \times 1.5) + (12 \times 40)) + (12 \times 40)\\ = 1122[/tex]

Step-by-step explanation:

Correct option is C)

41−

21+

19−

9

=

41−

21+

19−3

=

41−

21+

16

=

41−

21+4

=

41−

25

=

41−5

=

36

=6

[tex] \sqrt{41 - \sqrt{21 + \sqrt{19 - \sqrt{9} } } } \\ = \sqrt{41 - \sqrt{21 + \sqrt{19 - 3} } } \\ = \sqrt{41 - \sqrt{21 + \sqrt{16} } } \\ = \sqrt{41 - \sqrt{21 + 4 } } \\ = \sqrt{41 - \sqrt{25} } \\ = \sqrt{41 - 5} \\ = \sqrt{36} \\ = 6[/tex]

Answer:

a) 6

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answess

Step-by-step explanation:

Answer:

.11

Step-by-step explanation:

it is correct

Answer:

A) $.11

Step-by-step explanation:

A dozen = 12

To find unit cost you divide cost of items by # of items

In this case we have 12 eggs that cost 1.35

So unit cost = 1.35 / 12 = .11

Answer:

8, 2, 14

Step-by-step explanation:

sum the parts of the ratio, 4 + 1 + 7 = 12 parts , then

24 ÷ 12 = 2 ← value of 1 part of the ratio, then

4 parts = 4 × 2 = 8

7 parts = 7 × 2 = 14

The 3 numbers are 8, 2, 14

Answer:

50% increase

Step-by-step explanation:

half of 6 is 3 thus 50%, and vise versa.

Answer:

ye

Step-by-step explanation:

Answer: 2/6

Step-by-step explanation:

There’s only 2 numbers greater than 4 on a die, so two would be the numerator and the denominator would be the number of possibilities you could roll, which is 1-6.

2/6, 1/3, or approx. 33.3%

A number cube will have six sides and two out of six will be greater than four, therefore, there is around a 33.3% chance you will roll a number greater than 4. :)

Answer:

Options A, D, and E (0, 5, -1)

Step-by-step explanation:

A vertical asymptote is located where the denominator is equal to 0. Therefore, x=0, x=5, and x=-1 are all vertical asymptotes.

Answer:

6.5

Step-by-step explanation:

6.5 is 13 divided by 2. You can check your work by adding 6.5 to 6.5 or multiplying 6.5 by 2

Answer:

n ≥ 8

Step-by-step explanation:

Let R and E stand for the number of cows owned by Richard and Ellis, respectively.

We are told that:

R = n

E = 4n

Then:

R = n+13   [Bought 13 cows]

and

E = 4n-9  [Sold 9 cows]

Still:

E > R  [Ellis still has more cows]

Therefore:

4n-9 > n+13

3n  > 22

n > 7 1/3

Since no rancher wants 1/3 of a cow, we need to round either up or down to a whole number.  The least value of n is therefore 8 cows or higher.  Since 8 is a valid number, change the > inequality to ≥.

n ≥ 8

Answer:

6.2

Step-by-step explanation: TOOK THE TEST

Answer:

A) y-4=-1/2(x+6)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(0-4)/(2-(-6))

m=-4/(2+6)

m=-4/8

simplify

m=-1/2

y-y1=m(x-x1)

y-4=-1/2(x-(-6))

y-4=-1/2(x+6)

Answer: 120

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given expression:

Distribute this to get:

Correct choice is D

Answer:

D. 5 (2) + 5 (7)

Step-by-step explanation:

Given expression:

• 5(2 + 7)

Distribute this to get:

• a(b + c) = ab + ac

• 5(2 + 7) = 5(2) + 5(7)

correct choice is D

Answer:

hope it helps.

plzz give me brainliest

[tex] \frac{5x}{2} - \frac{3x}{4} = 10 \frac{1}{2} \\ [/tex]

[tex] \frac{5x}{2} - \frac{3x}{4} = \frac{21}{2} \\ [/tex]

Multiply both sides by 4

[tex]4 \times ( \frac{5x}{2} - \frac{3x}{4} ) = 4 \times \frac{21}{2} \\ [/tex]

[tex]10x - 3x = 42[/tex]

[tex]7x = 42[/tex]

Divide both sides by 7

[tex] \frac{7x}{7} = \frac{42}{7} \\ [/tex]

[tex]x = 6[/tex]

Answer:

[tex]x=2\\x=-\frac{1}{2}[/tex]

Step-by-step explanation:

1) Move terms to the left side.

[tex]3x=2x^{2} -2\\3x-(2x^{2}-2)=0[/tex]

2) Distribute.

[tex]3x-(2x^{2} -2)=0\\3x-2x^{2} +2=0[/tex]

3) Rearrange terms.

[tex]3x-2x^{2} +2=0\\-2x^{2} +3x+2=0[/tex]

4) Common factor.

[tex]-2x^{2} +3x+2=0\\-(2x^{2} -3x-2)=0[/tex]

5) Divide both sides of the equation by the same term.

[tex]-(2x^{2} -3x-2)=0\\2x^{2} -3x-2=0[/tex]

6) Use the quadratic formula.

[tex]x=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

[tex]2x^{2} -3x-2=0\\a=2\\b=-3\\c=-2[/tex]

[tex]x=\frac{-(-3)+\sqrt{(-3)^{2} -4*2(-2)} }{2*2}[/tex]

7) Simplify.

Evaluate the exponent

[tex]x=\frac{3+\sqrt{(-3)^{2}-4*2(-2) } }{2*2}[/tex]

[tex]x=\frac{3+\sqrt{9-4*2(-2)} }{2*2}[/tex]

Multiply the numbers

[tex]x=\frac{3+\sqrt{9-4*2(-2)} }{2*2}[/tex]

[tex]x=\frac{3+\sqrt{9+16} }{2*2}[/tex]

Add the numbers

[tex]x=\frac{3+\sqrt{9+16} }{2*2}[/tex]

[tex]x=\frac{3+\sqrt{25} }{2*2}[/tex]

Evaluate the square root

[tex]x=\frac{3+\sqrt{25} }{2*2} \\x=\frac{3+5}{2*2}[/tex]

Multiply the numbers

[tex]x=\frac{3+5}{2*2}[/tex]

[tex]x=\frac{3+5}{4}[/tex]

8) Seperate the equations.

To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.

[tex]x=\frac{3+5}{4}[/tex]

[tex]x=\frac{3-5}{4}[/tex]

9) Solve.

Rearrange and isolate the variable to find each solution.

[tex]x=2\\x=-\frac{1}{2}[/tex]

Answer:

1 and 3

Step-by-step explanation:

Answer:

B) N is the midpoint of line segment JL.

D) MN = 1/2 KJ

Step-by-step explanation:

edgeeee

888.125 is the answer just use your calculator

Answer:

Step-by-step explanation:

888.13

Answer:

here,

circumference of circle (c)=2πr

=2×22÷7×2.4

15.0857143.

Answer:

The answer is undefined

Because it passes through x

Answer: $53.50 ?

Step-by-step explanation:

Answer:

Step-by-step explanation:

What

Answer:

2.5 x 10^7

Step-by-step explanation:

Answer:

20y

Step-by-step explanation: