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liubo4ka [24]
4 years ago
8

Waldo works eight hours and produces 7 units of goods per hour. Emerson works six hours and produces 10 units of goods per hour.

Which of these statements are correct?
a. Waldo’s productivity and output are greater than Emerson’s.
b. Waldo’s productivity is greater than Emerson’s but his output is less.
c. Emerson’s productivity and output are greater than Waldo’s.
Mathematics
1 answer:
Phoenix [80]4 years ago
8 0

Answer:  Option 'c' is correct.

Step-by-step explanation:

Since we have given that

In case of Waldo:

Number of hours they work = 8

Number of units per hour = 7 units

So, Output would be

8\times 7\\\\=56\ units

In case of Emerson:

Number of hours they work = 6 hours

Number of units per work = 10 units

So,Output would be

10\times 6=60\ units

Hence, Emerson’s productivity and output are greater than Waldo’s.

Therefore, Option 'c' is correct.

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Dimas [21]

Answer:

Graph.

y = x^ 2 − 2 x − 8

y = 0

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3 years ago
What is 5x-9 > 11 i need the whole anderr
Feliz [49]

Answer:

x ≥ 4

Step-by-step explanation:

Start with: 5x - 9 ≥ 11

Add 9 to both sides: 5x - 9 + 9 ≥ 11 + 9

Divide both sides by 5: \frac{5x}{5} \geq  \frac{20}{5}

Simplify: x ≥ 4

Since you are not dividing both sides by a negative number, the greater than or equal to sign faces the same direction.

5 0
4 years ago
the equation is -2x² = 4-3 (x + 1) and the question is justify that it is a 2nd degree equation with the unknown x complete.
Serggg [28]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equation

-2x² = 4-3 (x + 1)

-2x² = 4-3x-3

-2x² = -3x -7

0 = 2x² -3x -7

We know that the degree of the equation is the highest power of x variable in the given equation.

In the equation 0 = 2x² -3x -7 the highest power of x variable in the given equation is 2.

Thus, the degree of the equation is 2.

Also in the equation 0 = 2x² -3x -7, the unknown variable is 'x'.

Let us determine the value 'x'

2x² -3x -7 = 0

Add 7 to both sides

2x^2-3x-7+7=0+7

2x^2-3x=7

Divide both sides by 2

\frac{2x^2-3x}{2}=\frac{7}{2}

x^2-\frac{3x}{2}=\frac{7}{2}

Add (-3/4)² to both sides

x^2-\frac{3x}{2}+\left(-\frac{3}{4}\right)^2=\frac{7}{2}+\left(-\frac{3}{4}\right)^2

x^2-\frac{3x}{2}+\left(-\frac{3}{4}\right)^2=\frac{65}{16}

\left(x-\frac{3}{4}\right)^2=\frac{65}{16}

\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}

solving

x-\frac{3}{4}=\sqrt{\frac{65}{16}}

x-\frac{3}{4}=\frac{\sqrt{65}}{\sqrt{16}}

x-\frac{3}{4}=\frac{\sqrt{65}}{4}

Add 3/4 to both sides

x-\frac{3}{4}+\frac{3}{4}=\frac{\sqrt{65}}{4}+\frac{3}{4}

x=\frac{\sqrt{65}+3}{4}

similarly solving

x-\frac{3}{4}=-\sqrt{\frac{65}{16}}

x=\frac{-\sqrt{65}+3}{4}

So the solution of the equation will have the values of x such as:

x=\frac{\sqrt{65}+3}{4},\:x=\frac{-\sqrt{65}+3}{4}

6 0
3 years ago
Mr. Castillo earns 270,920.64 a year. What is his monthly salary?
lozanna [386]

We need to divide for this. Since there are 12 months in a year, we divide his yearly salary by 12.

270,920.64÷12=22,576.72


So, Mr.Castillo's monthly salary is $22,576.72.

8 0
3 years ago
Which of the following represents “ 10 times the sum of a number and 14 is equal 9 times the number”?
solong [7]

Answer:

The expressión is:

10(a+14) = 9a

and the number is:

-140

Step-by-step explanation:

The expression is:

10(a+14) = 9a

then:

10*a + 10*14 = 9a

10a + 140 = 9a

10a - 9a = -140

a = -140

Check:

10(-140+14) = 9*140

10*-126 = 1260

4 0
4 years ago
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