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3 years ago

The product of 8 and a number q is at least 32. Equation or Inequality?

2 answers:

8 0

8*q = > or equal to 32 is the inequality for "the product of 8 and a number q is at least 32." We can then solve for q = 4. so yea hope this helps

Aleks [24]3 years ago

3 0

Inequality, because at least and at most always represent inequality.
In this case, 8q is at least 32 which means it can be more than 32.
8 q $\geq$ 32.

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100 points gor correct answer Identify the base of a triangle in which h=(3x+15) ft and A=(15x+75) ft^2.

ivolga24 [154]

Answer:

b = 10

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = $\frac{1}{2}$ bh ( b is the base and h the height )

Here h = 3x + 15 and A = 15x + 75, thus

$\frac{1}{2}$ × b × (3x + 15) = 15x + 75

Multiply both sides by 2 to clear the fraction

b(3x + 15) = 30x + 150

Divide both sides by (3x + 15)

b = $\frac{30x+150}{3x+15}$ ← factor numerator and denominator

= $\frac{30(x + 5)}{3(x+5)}$ ← cancel the factor (x + 5) on numerator/denominator

= $\frac{30}{3}$

= 10

7 0

3 years ago

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PLEASE HELP!!! show work if possible!:)

satela [25.4K]

Answer:

The answer to your question is y = 2x + 11

Step-by-step explanation:

Data

Original line y = -(1/2)x + 5

Point (-4, 3)

Process

1.- Get the slope of the new line

- Slope of the original line = -1/2

If the lines are perpendicular, the slopes must be reciprocal

-1/2 reciprocal = 2

2.- Get the equation of the new line

y - y1 = m(x - x1)

y - 3 = 2(x + 4)

- Simplification

y - 3 = 2x + 8

- Solve for y

y = 2x + 8 + 3

y = 2x + 11

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3 years ago

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(HELP WITH THIS )Suppose ages of cars driven by company employees are normally distributed with a mean of 8 years and a

8090 [49]

Answer:

Let say 75% of cars older than age = Y years

than 25 % cars of age less than Y Years

Z score corresponding to 25 % = -0.674

Z score = (Value - Mean) /SD

Value = Y

Mean = 8

SD = 3.2

Z score = -0.674

-0.674 = (Y - 8)/3.2

=> Y =5.84 Years

=> Y ≈ 5.9 Years

Approximately 75% of cars driven by company employees are older than about 5.9 years

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4 years ago

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SashulF [63]

<h2>Required Answer :-</h2>

Given system of linear equations are ,

x + y = 2
-3x + y = 2

And we need to find the Solution of the linear equation . So let's Firstly number the equations .

$\large{\red{\frak{ Given}}}\begin{cases} \sf x + y = 2\qquad ..........(i) \\\\\sf -3x + y = 2 \qquad ..........(ii) \\\end{cases}$

→ Multiplying equⁿ (i) by 3 ,

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=> 3x + 3y = 6

→ Adding the two equations ,

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=> 4y = 8

=> y = 8/4

=> y = 2

→ Put y = 2 in (i) ,

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=> x + 2 = 2

=> x = 2- 2

=> x = 0

<h3>★ Hence the required solution is ( 0 , 2 ) .</h3>

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Answer:

Step-by-step explanation:

$\frac{6}{18+6}= \frac{x}{8 }$

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3 years ago