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GREYUIT [131]
3 years ago
5

In a certain state car license plates are numbered in the form of LL NNNN, where L stands for a letter of the alphabet and N sta

nds for a 1-digit number from 0 to 9. How many car license plates outcomes are possible are there if all are allowed
Mathematics
1 answer:
givi [52]3 years ago
8 0
Given:
LL NNNN

L - alphabet
N - number from 0 to 9

There repetition is allowed so. there are 26 choices in both Ls and 10 choices in the 4 Ns.

L       L      N      N     N     N
26 * 26 * 10 * 10 * 10 * 10 = 6,760,000

There are 6,760,000 car license plate outcomes that are possible if all are allowed. 
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natka813 [3]

Answer:

3. The equivalent fractions are presented as follows;

\dfrac{2}{3}  =  \dfrac{2 \times 2}{3 \times 2} =\dfrac{4}{6}

4.  The equivalent fractions are presented as follows;

\dfrac{2}{3} = \dfrac{4 \times 2}{4 \times 3} =\dfrac{8}{12}

5. The reason why it works is because \dfrac{1}{8}  + \dfrac{1}{8}   =  \dfrac{1}{4}

Step-by-step explanation:

3. Based on the shaded region of the given figures, the two fractions are equivalent

Mathematically, we can show the equivalency of the two fractions as follows;

\dfrac{2}{3} =\dfrac{2}{3} \times 1 = \dfrac{2}{3} \times \dfrac{2}{2} = \dfrac{2 \times 2}{3 \times 2} =\dfrac{4}{6}

Therefore;

\dfrac{2}{3}  =  \dfrac{2 \times 2}{3 \times 2} =\dfrac{4}{6}

4. From the shaded region of the given figure, the fractions are equivalent

Mathematically, we have;

\dfrac{2}{3} =\dfrac{2}{3} \times 1 = \dfrac{4}{4} \times \dfrac{2}{3} = \dfrac{4 \times 2}{4 \times 3} =\dfrac{8}{12}

Therefore;

\dfrac{2}{3} = \dfrac{4 \times 2}{4 \times 3} =\dfrac{8}{12}

5. The amount of salt required by the recipe = 1/4 teaspoon of salt

The measure of the spoon Jonas has = 1/8 teaspoon

When Jonas adds two 1/8 teaspoons, he gets;

\dfrac{1}{8}  + \dfrac{1}{8}  = \dfrac{1 + 1}{8}  = \dfrac{2}{8}  = \dfrac{2 \times 1}{2 \times 4}  =  \dfrac{2}{2} \times \dfrac{1}{4}  = 1 \times \dfrac{1}{4} =  \dfrac{1}{4}

Therefore;

\dfrac{1}{8}  + \dfrac{1}{8}   =  \dfrac{1}{4}

Two 1/8 measuring teaspoons are equivalent to one 1/4 teaspoons and therefore Jonas is able to get the 1/4 teaspoons of salt the recipe asks for b combining two 1/8 measuring teaspoons of salt he has because 1/8 + 1/8 = 1/4.

6 0
3 years ago
Find the value of x in the given figure.<br> A) 44° <br> B) 40° <br> C) 36° <br> D) 32°
ioda

Answer:

40°

Step-by-step explanation:

It just is

6 0
3 years ago
Read 2 more answers
a large storage container in the shape of a rectangular prism has the dimensions of the following: length 16.5m width 18.2m heig
Zielflug [23.3K]

Answer:

3603 boxes.

Step-by-step explanation:

Rectangular Prism is actually a cuboid.

Volume of cuboid = length * width * height.

It is given that length = 16.5 m,  width = 18.2 m, and height = 12 m. Therefore:

Volume = 16.5 * 18.2 * 12 = 3603.6 cubic meters.

Volume is actually the capacity of the shape. If the box has the volume of 1 cubic meters, then the number of boxes that can fit in the rectangular prism will be:

Number of boxes to be fit = Volume of Large container/Volume of Small Container.

Number of boxes = 3603.6/1 = 3603 boxes.

Therefore, 3603 boxes will fit the rectangular prism and 0.6 cubic meters will be the spare space!!!

4 0
3 years ago
A rectangle has a length of 34 and an area of 2930, what is its width?
lara31 [8.8K]
You divide 2930 by 34 to get about 86.1765
(I think)
6 0
3 years ago
Read 2 more answers
The graph shows the solution to which system of equations?
vichka [17]
Start by seeing where the lines go. They cross (intersect) at (1, -1). We can use this to check later.
Now for slope: green is -4/2 = -2
pink is 4/2 = 2
Now we can create the equations
Let's make green = g(x) and pink = p(x)
if we use y = mx + b, then the green has a y-intercept (b) of +1
So g(x) = -2x + 1
pink has a y-intercept of -3, so p(x) = 2x - 3
Now let's plug n play: put our solutions x into each equation and confirm that it makes the y = -1
g(x) = -2x + 1 = -2(1) + 1 = -2+1 = -1
p(x) = 2x - 3 = 2(1) - 3 = 2-3 = -1

✔ YES THEY ARE CONFIRMED
6 0
3 years ago
Read 2 more answers
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