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Fofino [41]
2 years ago
11

Wezi has sixty-three $5-bills to the bank to exchange them for $20-bills. How many $20-bills does Wezi get? Is there money left

over? explain
Mathematics
1 answer:
In-s [12.5K]2 years ago
5 0

Answer:

A. Wezi will get fifteen (15) $20-bills.

B. There will be $15 left.

Step-by-step explanation:

A. We have been given that Wezi has sixty-three $5 bills.

Let us find the total amount of money that Wezi has by multiplying 63 by 5.

\text{Total amount of money Wezi has}=63\times\$5

\text{Total amount of money Wezi has}=\$315

Therefore, Wezi has $315.

Since Wezi wants to exchange her total money of $5 bills with $20 bills, so let us divide total amount of money by 20.

\text{The number of \$20 bills}=\frac{\$315}{\$20}

\text{The number of \$20 bills}=15.75

Since we cannot 0.75 of a $20 bill, so Wezi will get 15 $20-bills.

We can see that 315 is not completely divisible by 20, so let us subtract greatest multiple of 20 from 315.

We can see 15\times 20=300, so upon subtracting 300 from 315 we will get,

\$315-\$300=\$15

Therefore, there will be $15 left.

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What additional information would prove that LMNP is a rectangle? The length of LM is and the length of MN is . The slope of LP
kumpel [21]

Answer:

The correct answer is diagonals are equal and bisect each other.

Step-by-step explanation:

A rectangle is a quadrilateral with opposites sides equal in length and all interior angles equal to 90°. Opposite sides are parallel and adjacent sides are perpendicular. Diagonals in a rectangle are equal in length and they bisect each other. If we want to draw a circumcircle, then the point of intersection of these diagonals give the circumcenter.

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2 years ago
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Nadia bought boxes of o-shaped cereal at the grocery store. The line plot below shows the different amounts of boxed cereal Nadi
vovikov84 [41]
You don't have a picture of the line plot
4 0
2 years ago
Which function has zeros at x = 10 and x = 2? f(x) = x2 – 12x + 20 f(x) = x2 – 20x + 12 f(x) = 5x2 + 40x + 60 f(x) = 5x2 + 60x +
Allushta [10]

Answer:

x^2 -12x+20

Step-by-step explanation:

If the zeros of the functions are at 10 and 2

(x-10) (x-2)

FOIL

x^2 -2x-10x+20

Combine like terms

x^2 -12x+20

3 0
2 years ago
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What is the value of $x$ if $-\frac23(x-5) = \frac32(x+1)$?
Ipatiy [6.2K]

Answer:

x = (-29)/5

Step-by-step explanation:

Solve for x:

(2 (x - 5))/3 = (3 (x + 1))/2

Multiply both sides by 6:

(6×2 (x - 5))/3 = (6×3 (x + 1))/2

6/3 = (3×2)/3 = 2:

2×2 (x - 5) = (6×3 (x + 1))/2

6/2 = (2×3)/2 = 3:

2×2 (x - 5) = 3×3 (x + 1)

2×2 = 4:

4 (x - 5) = 3×3 (x + 1)

3×3 = 9:

4 (x - 5) = 9 (x + 1)

Expand out terms of the left hand side:

4 x - 20 = 9 (x + 1)

Expand out terms of the right hand side:

4 x - 20 = 9 x + 9

Subtract 9 x from both sides:

(4 x - 9 x) - 20 = (9 x - 9 x) + 9

4 x - 9 x = -5 x:

-5 x - 20 = (9 x - 9 x) + 9

9 x - 9 x = 0:

-5 x - 20 = 9

Add 20 to both sides:

(20 - 20) - 5 x = 20 + 9

20 - 20 = 0:

-5 x = 9 + 20

9 + 20 = 29:

-5 x = 29

Divide both sides of -5 x = 29 by -5:

(-5 x)/(-5) = 29/(-5)

(-5)/(-5) = 1:

x = 29/(-5)

Multiply numerator and denominator of 29/(-5) by -1:

Answer: x = (-29)/5

4 0
2 years ago
In the adjoining figure , AB = 6 , BC = 8 , <img src="https://tex.z-dn.net/?f=%20%5Cangle" id="TexFormula1" title=" \angle" alt=
loris [4]

Here we are given with a triangle with smaller triangles formed due to the altitude on AC. Given:

  • AB = 6
  • BC = 8
  • <ABC = 90°
  • BD ⊥ AC
  • <ABD = \theta

We have to find the value for sin \theta

So, Let's start solving....

In ∆ADB and ∆ABC,

  • <A = <A (common)
  • <ABC = <ADB (90°)

So, ∆ADB ~ ∆ABC (By AA similarity)

The corresponding sides will be:

\sf{ \dfrac{AD}{AB}  =  \dfrac{AB}{AC} }

We know the value of AB and to find AC, we can use Pythagoras theoram that is:

AC = √6² + 8²

AC = 10

Coming back to the relation,

\sf{ \dfrac{AD}{6}  =  \dfrac{6}{10} }

\sf{AD =  \dfrac{6 \times 6}{10}  = 3.6}

In ∆ADB, we have to find sin \theta which is given by perpendicular/base:

\sf{\sin( \theta)  =  \dfrac{AD}{AB} }

Plugging the values of AD and AB,

\sf{\sin( \theta)  =  \dfrac{3.6}{6} }

Simplifying,

\sf{ \sin( \theta)  =  \dfrac{3}{5}  =  \boxed{ \red{0.6}}}

And this is our final answer.....

Carry On Learning !

4 0
2 years ago
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