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zlopas [31]
3 years ago
10

Aiden has two toy cars that measure two and one fourth inches, three that measure two three eight inches, one that measures two

and seven eights inches, one that measures 2 and one eights inches, and one that measures two and three fourths inches. How long is aidens longest toy car.
Mathematics
1 answer:
Westkost [7]3 years ago
8 0

Answer:

So, the longest toy car length is 2\frac{7}{8}inches

Step-by-step explanation:

Given - Aiden has two toy cars that measure two and one fourth inches,

            three that measure two three eight inches, one that measures two

            and seven eights inches, one that measures 2 and one eights

            inches, and one that measures two and three fourths inches.

To find - How long is Aiden's longest toy car.

Proof -

Measure of 1st car - 2 inches

Measure of 2nd car - \frac{1}{4} inches = 0.25 inches

Measure of 3rd car - 2\frac{3}{8} inches = 2.375 inches

Measure of 4th car - 2\frac{7}{8}inches = 2.875 inches

Measure of 5th car - 2\frac{1}{8}inches = 2.125 inches

Measure of 6th car - 2\frac{3}{4}inches = 2.75 inches

So, the longest toy car length is 2\frac{7}{8}inches (2.875 inches )

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Four of the cards have an even number, so the probability of drawing an even is \dfrac48=\dfrac12.

Only two cards have a number greater than 6 (7 and 8), so the probability of drawing one of them is \dfrac28=\dfrac14.

The probability of both events happening is

\dfrac12\times\dfrac14=\dfrac18
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3 years ago
i have 16 red skittles, 15 green skittles, 10 yellow skittles, 11 purple skittles, and 11 orange skittles. What fraction of my s
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16/63 is the answer
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What is the y-intercept of the line?
Darina [25.2K]

Answer:

2

Step-by-step explanation:

The Y intercept is 2.

You can figure this out by looking at the Y line (the vertical one) and seeing theres a point exactly on 2, when the X number is at 0.

3 0
2 years ago
In a sequence of ten terms, each term (starting with the third term) is equal to the sum of the two previous terms. The seventh
poizon [28]

Answer:

\boxed{a_1+a_2+a_3+a_4+a_5+a_6+a_7+a_8+a_9+a_{10}=66}

Step-by-step explanation:

We know that in a sequence of ten terms, each term (starting with the third term) is equal to the sum of the two previous terms. The seventh term is equal to 6. Therefore, we have

a_1+a_2=x\\a_3=x\\a_4=2x\\a_5=3x\\a_6=5x\\a_7=8x\\

We know that:

a_7=6\\\implies 8x=6\\x=\frac{3}{4}

We get:

a_1+a_2=x=\frac{3}{4}\\\\a_3=x=\frac{3}{4}\\\\a_4=2x=\frac{3}{2}\\\\a_5=3x=\frac{9}{4}\\\\a_6=5x=\frac{15}{4}\\\\a_7=8x=6\\\\a_8=13x=\frac{39}{4}\\\\a_9=21x=\frac{63}{4}\\\\a_{10}=34x=\frac{102}{4}\\

Therefore, we calculate

\boxed{a_1+a_2+a_3+a_4+a_5+a_6+a_7+a_8+a_9+a_{10}=66}

4 0
3 years ago
If 420 = 120%, what would 100% equal?
Ira Lisetskai [31]

Answer:

350

Step-by-step explanation:

Introduction. Percent, p%

'Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100

120% = 120/100 = 120 ÷ 100 = 1.2

100% = 100/100 = 100 ÷ 100 = 1

Percentage of 120% of what number = 420?

120% × ? = 420

? =

420 ÷ 120% =

420 ÷ (120 ÷ 100) =

(100 × 420) ÷ 120 =

42,000 ÷ 120 =

350

<h2>Proof</h2><h3>How do we check the result?</h3>

If 120% × 350 = 420 =>

Divide 420 by 350...

... And see if we get as a result: 120%

<h3>Note:</h3>

Multiply a number by the fraction 100/100,

... and its value doesn't change.

100/100 = 100 ÷ 100 = 1

n/100 = n%, any number.

<h2>Hope it is helpful....</h2>
8 0
3 years ago
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