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Alik [6]
3 years ago
8

What is the value of the expression 4x-y/2y+z when x=3 and y=3

Mathematics
1 answer:
dimaraw [331]3 years ago
4 0

Answer:

14.5

Step-by-step explanation:

When solving this we need to use the substitution method. So let's substitute 3 for x and 3 for y.

4x - y / 2y + x

4 ( 3 ) - 3 / 2 (3)  + 3

12 - 3 / 6 + 3

Using the method PEMDAS we know to solve the parenthesis first.

12 - 3 / 2(3) + 3

12 - 3 / 6 + 3

Using the method again we know to divide before we add or subtract,

12 - 3 / 6 + 3

12 - 0.5 + 3

Then we subtract

12 - 0.5 = 11.5

Lastly, we add the remaining numbers

11.5 + 3 = 14.5

Hope this helps :)

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Write an equation to represent the relationship shown in the graph.<br> Use the graph below
Lostsunrise [7]

Answer:

y=x+3

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when the line crosses the y-axis)

First, we could determine the slope (<em>m</em>). The slope is the \displaystyle\frac{rise}{run} of the line, or the number of units it travels up over the number of units it travels to the right.

Notice how each consecutive point moves up 1 unit and right 1 unit. This makes the slope of the line 1/1, which is just 1:

y=1x+b\\y=x+b

Now, to find the y-intercept, we must identify the value of y when the line crosses the y-axis.

The line crosses the y-axis at y=3, so therefore, the y-intercept is 3:

y=x+3

I hope this helps!

6 0
2 years ago
An atom has a charge of +1. If the atom's nucleus contains 23 protons, the atom must have
Ymorist [56]
If an atom has a let's say, +2 charge, it will mean that the atom has two more protons than electrons. Protons have +1 charges and electrons have -1 charges. So, said this, if you had one more proton than an electron, it would be a -1 charge. Because of this, if an atom had a +1 charge, it would have to have one more proton than electrons. So, the answer could be "the atom must have 22 electrons" but, the question is sort of vague? It could really be anything.
4 0
3 years ago
Read 2 more answers
How do you solve -3+r/3=-5
MAVERICK [17]

Answer:

r=-6

Step-by-step explanation:

Question: -3+r/3=-5

1) Multiply both sides of the equation by 3:

-9+r=-15

2) Add 9 to both sides:

r=-6

Footnotes:

1) In step 1 when I multiplied both sides of the equation by 3, don't forget you also have to multiply -3 by 3 because it is not part of the fraction (which is how I got -9)

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3 years ago
Please right now I need help
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Answer:

3

Step-by-step explanation:

6 0
2 years ago
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6. Mr. Bernard travels 5.12 km per hour on his bike. How far can he travel in 3.25 hours?
Whitepunk [10]

Answer:

6. C. 16.64 km

7. B. P 216.00

8. B. P 565 425

9. C. 0.27

10. D. 24.6875

11. B. 3 kg

12. B. ratio

13. A. Proportion

14. D. 6:10

15. B. 2:3

Step-by-step explanation:

6. Mr. Bernard travels 5.12 km per hour on his bike. How far can he travel in 3.25 hours?

Speed = 5.12km/hr

Time = 3.25 hr

To find the distance;

Distance = speed * time

Distance = 5.12 * 3.25

Distance = 16.64 km

7. Mrs. Allysa purchased 48 pencils at P 4.50 each. How much did she pay for all the pencils?

Quantity = 48 pencils

Cost price = P 4.50

To find the total selling price;

Total = quantity * cost price

Total = 48 * 4.50

Total = P 216

8. The Villaroel family bought a 125.65 square meter lot at P 4500.00 per square meter. How much did they

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Quantity = 125.65 m²

Cost price = P 4500

Total price = 125.65 * 4500

Total price = P 565425

9. What is 2.7/10 = 0.27

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11. A store owner has 63 kilograms of candy. If she puts the candy into 21 jars, how much candy will each jar

contain?

Mass = 63 kg

Amount = 21 jars

Each jar = 63/21 = 3 kg

12. Ratio: It is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

13. Proportion: It is a statement that two ratios are equal.

14. What ratio is equal to 3:5?

We would multiply both ratio by 2

3:5 * 2 = 6:10

15. What ratio is proportional to 4:6?

We would divide both ratio by 2

4:6 / 2 = 2:3

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3 years ago
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