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fenix001 [56]
4 years ago
12

If y varies directly with x and y = 6 and x = -3, find y when x = 4.

Mathematics
2 answers:
Ber [7]4 years ago
8 0

Ask questions in the comment section if you have questions. I'm happy to help! <3

Step-by-step explanation:

What the question is telling you is that x and y and proportional, almost like a ratio.

<h2>x : y</h2><h2>-3 : 6</h2>

Now we have to find y when x is four.

<h2>-3 : 6</h2><h3>     to </h3><h2> 4 : y</h2><h2 />

Let's create a proportional equation...

<h3>(-3 / 6) = 4 / y</h3><h3>- 1 / 2 = 4 / y</h3>

What can we divide by four to create -1/2?

<h2>y = -8.</h2>
Citrus2011 [14]4 years ago
6 0

Answer:

y = -8

Step-by-step explanation:

6/-3 = -2

4 * -2 = -8

y = -8

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Lisa wrote the expression (3x + 6x) - 2(x + 1) + 5. She simplified the expression using the following steps:
Ivanshal [37]

Answer:

Step 1. Should be 3(x +2x) -2(x +1) +5 . . .

or . . . 3x(1 +2) -2(x +1) +5 . . .

or . . . 9x -2(x+1) +5

Step-by-step explanation:

Lisa apparently failed to realize that both terms inside the first set of parentheses have 3x as a factor. They are like terms, so could be combined directly. If Lisa really wants to factor out 3 or 3x, she could do so and then combine the remaining factors at another step.

6 0
3 years ago
Read 2 more answers
The quadrilateral shown is rotated 90° clockwise about the origin. In which quadrant is the image of the quadrilateral located?
Viktor [21]

Answer:

Option (2). 1

Step-by-step explanation:

Coordinates of point A, B, C and D are,

A(-4, 4), B(-2, 4), C(-2, 1) and D(-4, 3).

Quadrilateral ABCD when rotated 90° clockwise about the origin,

Rule for the rotation of the vertices,

(x, y) → (y, -x)

Following the rule of rotation coordinates of the image points,

A(-4, 4) → A'(4, 4)

B(-2, 4) → B'(4, 2)

C(-2, 1) → C'(1, 2)

D(-4, 3) → D'(3, 4)

Since all image points have the positive coordinates (x and y coordinates), image quadrilateral A'B'C'D' will be located in 1st quadrant.

Option (2) is the correct option.

4 0
3 years ago
When paid flat a round parachute has a diameter of 8 meters. What is the parachute’s circumference
mariarad [96]

Answer:

25.12 meters

Step-by-step explanation:

The circumference of a circle is given by

c=2\pi r (1)

where:

\pi\sim 3.14

r is the radius of the circle

In this problem, the parachute has a diameter of 8 meters:

d = 8 m

The radius of a circle is equal to half of its diameter, so the radius of the parachute is:

r=\frac{d}{2}=\frac{8}{2}=4 m

And therefore, by applying eq.(1) we can find the circumference of the circle:

c=2\pi r=2\cdot 3.14 \cdot 4 = 25.12 m

7 0
3 years ago
Read 2 more answers
Labor rate = $7.50 per hour Labor time = 6.5 hours Retail price of parts = $0 Total job cost = $82.00 Overhead rate?
Ulleksa [173]
Total cost job=
Retail price of parts+labor cost+manufacturing overhead

Total cost job 82

Retail price of parts 0

Labor cost=7.5×6.5=48.75

Manufacturing overhead ?

82=0+48.75+?

?=82−48.75

?=33.25

Manufacturing overhead is 33.25

Now find manufacturing overhead rate from the cost of labor
33.25÷48.75=0.682×100=68.2%

The answer 68.2%




4 0
3 years ago
Meiling needs 5 dollars 35 cents to buy a ticket to a show. In her wallet, she finds 2 dollar bills, 11 dimes, and 5 pennies. Ho
Llana [10]

Answer:

no she needs $2.20 more

Step-by-step explanation:

2+ 1.10+.05= $3.15

$5.35 - $3.15 = the answer

5 0
3 years ago
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