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irinina [24]
3 years ago
14

Solve the system of linear equations using substitution. Show work please

Mathematics
1 answer:
weeeeeb [17]3 years ago
4 0

Where's the actual equation though?

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Dan has five times as many $1 bills as $5 bills. he has a total of 48 bills. how many of each does he have?
Sholpan [36]
Let the number of $1 bill be x and $5 bill be y
x=5y
5y+y=48
6y=48
x=40
y=8

number of $1 bill= 40
number of $5 bill = 8
6 0
3 years ago
2. A boy runs at a speed of 10m/s. How long does he take to cover a distance of 1.5 km?<br> 'D Focus
jek_recluse [69]

1500m=1.5km so 1500 divided by 10= 150s it takes 150s to cover a distance of 1.5km

5 0
3 years ago
Kallisto built a rectangular sign that measured 2 and 3/4. The width is 1 and 1/4 shorter than the length. To find the area, mul
prisoha [69]

Answer:

<em>l</em> = 1 5/16

w = 1/16

A = 21/16 x 1/16 = 21/256

Step-by-step explanation:

Perimeter = 11/4

<em>l</em> = length

w = <em>l</em> - 5/4

2<em>l</em> + 2(<em>l</em> - 5/4) = 11/4

2<em>l</em> + 2<em>l</em> - -5/2 = 1/4

multiply each side by 4

8<em>l</em> + 8<em>l </em>- 10 = 11<em> </em>

16<em>l</em> = 21

<em>l</em> = 21/16 or 1 5/16

width = 21/16 - 20/16 = 1/16

8 0
3 years ago
An arc with length 5 pi over 4 inches is formed by a 15 degree central angle what is the radius of the circle
Natalka [10]

Answer:

Radius of the circle is <em>15 inches.</em>

<em></em>

Step-by-step explanation:

Relation between length of arc, radius and the angle subtended by the arc on center is:

\theta = \dfrac{l}{r} ..... (1)

where \theta is the central angle in radians subtended by arc

l is the length of arc

r is the radius of arc

We are Given the following details:

l = \dfrac{5\pi}{4}\ inch

\theta = 15^\circ

We know that \pi \ radians = 180 ^\circ

Converting \theta to radians:

\theta =\dfrac{\pi}{180} \times 15 radians

Putting the values of \theta and l to find the value of r

\dfrac{\pi}{180} \times 15 = \dfrac{5\pi}{4r}\\\Rightarrow r = \dfrac{45}{3} \\\Rightarrow r = 15 \ inches

Hence, Radius of the circle is <em>15 inches.</em>

6 0
3 years ago
Is the perimeter of a square and its side length linear or not linear?
NARA [144]
Its linear , if side is x then perimeter is 4x 
 I hope this helps, if you have any further questions don't hesitate to ask
4 0
3 years ago
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