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3 years ago

1 7/10 x 2/3 what is the product

Mathematics

1 answer:

Ludmilka [50]3 years ago

7 0

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{1 \frac{2}{15}}}}}}$

Step-by-step explanation:

$\sf{1 \frac{7}{10} \times \frac{2}{3} }$

Convert the mixed number into improper fraction

$\longrightarrow{ \sf{ \frac{10 \times 1 + 7}{10} \times \frac{2}{3}}}$

$\longrightarrow{ \sf{ \frac{17}{10} \times \frac{2}{3}}}$

To multiply one fraction by another, multiply the numerators for the numerator, and multiply the denominator for its denominator and reduce the fraction obtained after multiplication into lowest term

$\longrightarrow{ \sf{ \frac{17 \times 2}{10 \times 3}}}$

$\longrightarrow{ \sf{ \frac{34}{30}}}$

$\longrightarrow{ \sf{ \frac{17}{15} }}$

Convert the improper fraction into mixed number

$\longrightarrow{ \sf{1 \frac{2}{15} }}$

Hope I helped!

Best regards! :D

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PLEASE HELP A store is having a sale on chocolate chips and walnuts. For 5 pounds of chocolate chips and 3 pounds of walnuts, th

Stells [14]

Answer:

Chocolate Chips cost $2.25 and Walnuts cost $3.25 per pound each

Step-by-step explanatChocion:

Let x = cost of pounds of chocolate chip cookies and y = cost of pounds of walnuts.

From the question, we get 5x+3y = 21 and 2x+6y = 24. To solve the equation, we use substitution. From the first equation, we get y = (21-5x)/3. We substitute the y into the second equation to get 2x + 6(21-5x)/3 = 24. This turns out to be 2x+(42-10x) = 24. Adding like terms you should get 42-8x = 24. Solving for x, x = $2.25 per pound. Plugging this into the first equation, we get 5(2.25)+3y = 21. Solving for y, we get $3.25 per pound of walnuts. If we plug in the numbers into the 2 equations, we will get the right total.

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3 years ago

Determine the number of real solutions for each of the given equations. Equation Number of Solutions y = -3x2 + x + 12 y = 2x2 -

rosijanka [135]

Answer:

Step-by-step explanation:

Our equations are

$y = -3x^2 + x + 12\\y = 2x^2 - 6x + 5\\y = x^2 + 7x - 11\\y = -x^2 - 8x - 16\\$

Let us understand the term Discriminant of a quadratic equation and its properties

Discriminant is denoted by D and its formula is

$D=b^2-4ac\\$

Where

a= the coefficient of the $x^{2}$

b= the coefficient of $x$

c = constant term

Properties of D: If D

i) D=0 , One real root

ii) D>0 , Two real roots

iii) D<0 , no real root

Hence in the given quadratic equations , we will find the values of D Discriminant and evaluate our answer accordingly .

Let us start with

$y = -3x^2 + x + 12\\a=-3 , b =1 , c =12\\D=1^2-4*(-3)*(12)\\D=1+144\\D=145\\D>0 \\$

Hence we have two real roots for this equation.

$y = 2x^2 - 6x + 5\\$

$y = 2x^2 - 6x + 5\\a=2,b=-6,c=5\\D=(-6)^2-4*2*5\\D=36-40\\D=-4\\D$

Hence we do not have any real root for this quadratic

$y = x^2 + 7x - 11\\a=1,b=7,-11\\D=7^2-4*1*(-11)\\D=49+44\\D=93\\$

Hence D>0 and thus we have two real roots for this equation.

$y = -x^2 - 8x - 16\\a=-1,b=-8,c=-16\\D=(-8)^2-4*(-1)*(-16)\\D=64-64\\D=0\\$

Hence we have one real root to this quadratic equation.

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2 years ago

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ZanzabumX [31]

Answer:

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Step-by-step explanation:

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2 years ago

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The ratio birds : animals = 13 : 2
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3 years ago

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gogolik [260]

The simplified form of this expression is 4D^21

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2 years ago

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