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4 years ago

Multiply. Write your answer in simplest form.

Mathematics

2 answers:

Bumek [7]4 years ago

5 0

Answer:2/3

Step-by-step explanation:

2*[(5/6)*(2/5)]=

2*(10/30)=

2*(1/3)=

2/3

Viefleur [7K]4 years ago

5 0

Answer: 2 1/3

Step-by-step explanation:

Multiply the numerators, 5 x 2 = 10; then the denominators, 6 x 5= 30.

The whole number, 2 gets retained as 2

Therefore, answer is 2 10/30

To simplify the fraction to simplest form, check for a common value that will divide the numerator and denominator, which is 10, then divide through

2 10/30 = 2 1/3

I hope this helps, please mark as brainliest answer.

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Answer:

The gas-only SUV will exceed the cost of the hybrid after 37,111.2 miles.

Step-by-step explanation:

0.18×37,111.2=6680.016

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3 years ago

The 2003 Zagat Restaurant Survey provides food, decor, and service ratings for some of the top restaurants across the United Sta

levacccp [35]

Answer:

See explanation

Step-by-step explanation:

5 of 15 top-ranking restaurants offer dinner for more than $50 and 10 offer dinner for less than $50.

You will eat dinner at three of these restaurants.

a) The probability that none of the meals will exceed the cost covered by your company is

$\dfrac{C^{10}_3}{C^{15}_3}=\dfrac{\frac{10!}{3!(10-3)!}}{\frac{15!}{3!(15-3)!}}=\dfrac{10!\cdot 12!}{7!\cdot 15!}=\dfrac{8\cdot 9\cdot 10}{13\cdot 14\cdot 15}\approx 0.2637$

b) The probability that one of the meals will exceed the cost covered by your company is

$\dfrac{C^{10}_2\cdot C^5_1}{C^{15}_3}=\dfrac{\frac{10!}{2!(10-2)!}\cdot \frac{5!}{1!(5-1)!}}{\frac{15!}{3!(15-3)!}}=\dfrac{10!\cdot 5!\cdot 3!\cdot 12!}{2!\cdot 8!\cdot 4!\cdot 15!}=\dfrac{ 9\cdot 10\cdot 5\cdot 3}{\cdot 13\cdot 14\cdot 15}\approx 0.4945$

c) The probability that two of the meals will exceed the cost covered by your company is

$\dfrac{C^{10}_1\cdot C^5_2}{C^{15}_3}=\dfrac{\frac{10!}{1!(10-1)!}\cdot \frac{5!}{2!(5-2)!}}{\frac{15!}{3!(15-3)!}}=\dfrac{10!\cdot 5!\cdot 3!\cdot 12!}{9!\cdot 2!\cdot 3!\cdot 15!}=\dfrac{10\cdot 3\cdot 4\cdot 5}{13\cdot 14\cdot 15}\approx 0.2198$

d) The probability that all three of the meals will exceed the cost covered by your company is

$\dfrac{C^{5}_3}{C^{15}_3}=\dfrac{\frac{5!}{3!(5-3)!}}{\frac{15!}{3!(15-3)!}}=\dfrac{5!\cdot 12!}{2!\cdot 15!}=\dfrac{3\cdot 4\cdot 5}{13\cdot 14\cdot 15}\approx 0.0220$

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4 years ago

4+-7t =<br> Show work please

Allushta [10]

Answer:

T = 7

Step-by-step explanation:

More Icon

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

4/7*t-1/14*t-(t-7/2)=0

Step by step solution :

STEP

Simplify —

Equation at the end of step

4 1 7

((—•t)-(——•t))-(t-—) = 0

7 14 2

STEP

Rewriting the whole as an Equivalent Fraction

2.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using 2 as the denominator :

t t • 2

t = — = —————

1 2

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

t • 2 - (7) 2t - 7

——————————— = ——————

2 2

Equation at the end of step

4 1 (2t-7)

((—•t)-(——•t))-—————— = 0

7 14 2

STEP

Simplify ——

Equation at the end of step

4 1 (2t - 7)

((— • t) - (—— • t)) - ———————— = 0

7 14 2

STEP

Simplify —

Equation at the end of step

4 t (2t - 7)

((— • t) - ——) - ———————— = 0

7 14 2

STEP

Calculating the Least Common Multiple :

5.1 Find the Least Common Multiple

The left denominator is : 7

The right denominator is : 14

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3 years ago

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3 years ago

Read 2 more answers