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abruzzese [7]
3 years ago
7

In a certain chemical, the ratio is zinc to copper is 4 to 15. A jar of the chemical contains 570 grams of copper, how many zinc

does it contain
Mathematics
1 answer:
iVinArrow [24]3 years ago
3 0

Answer:

zinc = 152 grams

Step-by-step explanation:

Ratio of zinc to copper = 4 : 15

Copper = 570 grams

zinc = x grams

Find x

Ratio of zinc to copper = x : 570

Equate both ratios

4 : 15 = x : 570

4/15 = x/570

Cross product

4 * 570 = 15 * x

2,280 = 15x

x = 2,280/15

= 152

x = 152 grams

zinc = 152 grams

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A woman bought a number of items for $24. She realized that if she had bought 4 more items for
Roman55 [17]

Answer:

The woman bought 2 items at $12 each.

Step-by-step explanation:

Given that a woman bought a number of items for $ 24, and she realized that if she had bought 4 more items for the same money, she would have paid $ 8 less per item, to determine how many Items did she buy the following calculation must be done:

X = 24

X + 4 = 24

24/2 = 12

24/6 = 4

12 - 4 = 8

Therefore, the woman bought 2 items.

3 0
3 years ago
Write and graph an equation in two variables that shows the relationship between the time and the distance.
cluponka [151]

Answer:

The relation between the time and the distance will be:

y = 15x

The graph of the equation y = 15x is attached below.

Step-by-step explanation:

We know that the equation of linear function in two variables in the slope-intercept form is

y = mx+b

where

  • m is the rate of change or slope
  • b is the y-intercept

Let y be the distance

Let t be the time

Given that the object moves 15 meters in 1 second.

Thus, the rate of change or slope = m = 15

As there is no initial condition in our case.

Thus the y-intercept b = 0

Now, substituting m = 15 and b = 0 in the linear function

y = mx+b

y = 15x + 0

y = 15x

Therefore, the relation between the time and the distance will be:

y = 15x

The graph of the equation y = 15x is attached below.

Examples:

Calculate the distance in 1 second

put x = 1 in the equation

y = 15(1) = 15 meters

Calculate the distance in 10 second

put x = 10 in the equation

y = 15(10) = 150 meters

7 0
3 years ago
Instructions:select all the correct locations on the tables. andrew wants to purchase a new television with a screen length that
DaniilM [7]

The <em>correct answers</em> are:


5x²+70x+245 ≥ 1050; and

Yes.


Explanation:


Let x be the width of the tablet. Since the width of the TV is 7 inches more than the tablet, the width of the TV would be x+7.


The length of the TV is 5 times the width; this makes the length 5(x+7) = 5x+35.


The area of the TV would be given by

(x+7)(5x+35).


Since Andrew wants the area to be at least 1050, we set the expression greater than or equal to 1050:

(x+7)(5x+35) ≥ 1050


Multiplying this, we have:

x*5x+x*35+7*5x+7*35 ≥ 1050

5x²+35x+35x+245 ≥ 1050


Combining like terms,

5x²+70x+245 ≥ 1050


To see if 8 is a reasonable width for the tablet, we substitute 8 for x:

5(8²)+70(8)+245 ≥ 1050

5(64)+560+245 ≥ 1050

320+560+245 ≥ 1050

1125 ≥ 1050


Since this inequality is true, 8 is a reasonable width.

5 0
3 years ago
Find the x- and y-intercepts of the equation below. Write your answers as ordered pairs.
Airida [17]

Answer:

x intercept: none

y intercept=: (0,-12)

5 0
3 years ago
Given that x +y=180, p +q =180, and p=x show that y =q
makvit [3.9K]
Showin that x=p the. The only way that y=q is because the others are the same say x=179 the y has to =1 and then p=179 so q has to equal =1
8 0
3 years ago
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