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Burka [1]
3 years ago
5

Jason's piggy bank contained $5.70 in nickels and pennies. If there were 30 more pennies than nickels, how many of each did he h

ave in the piggy bank?
Mathematics
1 answer:
ValentinkaMS [17]3 years ago
8 0

Answer:

98 nickles and 128 pennies

Step-by-step explanation:

You probably can't read my hand writing but I spent like, 15 minutes on this. This is the correct answer, but I don't know how to explain how it is but I promise it is!

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Type the correct answer in each box. Round the vector's magnitude to the nearest tenth.
Mama L [17]

Component form of u is (-18,13) and The magnitude of u is 22.2

<h3>What is a vector?</h3>

A vector is a two-dimensional entity with both magnitude and direction. A vector can be visualized geometrically as a directed line segment.

The component form of a vector is an ordered pair that describes the change in x and y values

This is mathematically expressed as (Δx, Δy) where Δx=x₂-x₁ and Δy=y₂-y₁

Given ;

Initial points of the vector as (14,-6)

The terminal point of the vector is (-4,7)

Here x₁=14,x₂=-4, y₁=-6,y₂=7

The component form of the vector u is (-4-14,7--6) =(-18,13)

Finding the Magnitude of the vector

u=√(x₂-x₁)²+(y₂-y₁)²

u=√-18²+13²

u=√324+169

u=√493

u=22.2

Therefore the Component form of u is (-18,13) and The magnitude of u is 22.2

To know more about vectors follow

brainly.com/question/25705666

#SPJ1

3 0
1 year ago
Which statement is correct?
Pavel [41]

Answer:

i think the answer is a

Step-by-step explanation:

a yard = 3 feet

1 foot * 3 = yard

5 0
2 years ago
Read 2 more answers
Can someone help me?
zheka24 [161]

We can Notice that : Number of Cells growth is a Geometric Sequence

That is : 1 , 2 , 4 , 8 , 16. . . . .

We know that : nth term in a Geometric Sequence is = a.rⁿ⁻¹

where a is the first term

r is the common ratio, which is given by ratio of 2nd term to 1st term

For the above Sequence, a = 1 and r = 2

Given : nth term over 1000

⇒ 1.2ⁿ⁻¹ = 1024

⇒ 2ⁿ⁻¹ = 2¹⁰

⇒ n - 1 = 10

⇒ n = 11

We can Notice that : Number of Hours is a Arithmetic Sequence

That is : 0 , 3 , 6 , 9 , 12

We know that : nth term in a Arithmetic Sequence is = a + (n - 1)d

where a is the first term

r is the common difference, which is given by difference between 2nd term and 1st term

For the above Sequence, a = 0 and r = 3 - 0 = 3

we need to find the number of hours, which is when : n = 11

⇒ 0 + (11 - 1)3

⇒ 10(3)

⇒ 30

⇒ It will take 30 hours to have over 1000 bacteria

4 0
2 years ago
Write an equation of the parabola in intercept form that passes through (−18, 72) with x-intercepts of −16 and −2.
seraphim [82]

y = a(x + 16)(x + 2)

72 = a(-18 + 16)(-18 + 2)

72 = a(-2)(-16)

72 = a(32)

\frac{72}{32} = a

\frac{9}{4} = a

Answer: y = \frac{9}{4}(x + 16)(x + 2)


3 0
2 years ago
Which of these strategies would eliminate a variable in the system of equations? \begin{cases} 2x - 5y = 13 \\\\ -3x + 2y = 13 \
Elena-2011 [213]

Answer and Step-by-step explanation:

Given the system of equations:

2x – 5y = 13

–3x + 2y = 13

We can decide to eliminate either x or y in order to solve the simultaneous equations.

1. To eliminate x:

Multiply the first equation by the coefficient of x in the second equation and multiply the second equation by the coefficient of x in the first equation. By doing this the coefficients of x in the equations would be the same and subtracting them to be equal to zero becomes easy, thus eliminating that variable.

The coefficient of x in the second equation is –3, if we multiply the first equation by it we have:

–6x+15y = –39

The coefficient of x in the first equation is 2, if we multiply the second equation by it we have:

–6x+4y = 26

Subtracting the resulting equations we have:

11y = –65 and x is eliminated.

2. To eliminate y:

Multiply the first equation by the coefficient of y in the second equation and multiply the second equation by the coefficient of y in the first equation. By doing this the coefficients of y in the equations would be the same and subtracting them to be equal to zero becomes easy, thus eliminating that variable.

The coefficient of y in the second equation is 2, if we multiply the first equation by it we have:

4x–10y = 26

The coefficient of y in the first equation is –5, if we multiply the second equation by it we have:

15x–10y = –65

Subtracting the resulting equations we have:

–11x = 91 and y is eliminated.

4 0
2 years ago
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