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JulijaS [17]
3 years ago
12

Robert used 34 grams of iron filings in his second experiment. This is 16 grams more than twice the number of grams he used in h

is first experiment. How many grams of iton filings did he usein his experiment.

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
3 0

34=2x + 16

18=2x

x=9

Robert used 9 grams of iron filings in his first experiment.

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If 5 slices of pizza cost $5:50 how much does 
kupik [55]

The first thing we must do for this case is to define variables.

We have then:

x: number of slices

y: total cost

We write the linear function that relates the variables.

We have then:

y = (\frac{5.50}{5}) * x

Then, we evaluate the number of slices to find the total cost.

-two slices cost:

We substitute x = 2 in the given equation:

y = (\frac{5.50}{5}) * 2\\y = 2.2

Answer:

two slices = 2.2 $

-ten slices cost:

We substitute x = 10 in the given equation:

y = (\frac{5.50}{5}) * 10\\y = 11

Answer:

ten slices = 11 $

-half a slice cost:

We substitute x = 1/2 in the given equation:

y = (\frac{5.50}{5}) * \frac{1}{2}\\y = 0.55

Answer:

half a slice = 0.55 $

6 0
3 years ago
A survey revealed that 10% of workers at a company were not satisfied with their job. If 88 workers selected this option, then h
prohojiy [21]

Answer:

There are 880 workers at the company.

Step-by-step explanation:

With the information provided, you can find the total amount of workers at the company which would represent 100% using a rule of three given that 88 workers represent 10% of workers:

88 workers →   10%

       x          ←  100%

x=(88*100)/10= 880

According to this, the answer is that there are 880 workers at the company.

5 0
3 years ago
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,

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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
Which numbers are solutions of the inequality? Choose all that apply.
Nady [450]
Can you post the answer choices please ??
4 0
3 years ago
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kvasek [131]
If p||q then, m∠1=m∠3

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3 years ago
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