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garik1379 [7]
1 year ago
13

Evaluate the expression shown below and write your answer as a fraction in simplest form 3/20 + 7/16 ​

Mathematics
1 answer:
slavikrds [6]1 year ago
3 0

Answer:

Add

3 over 20

3

20

+ 7 over 16

7

16

= 47 over 80

47

80

Step 1 of 2: Add, sub-step a: Find the common denominator.

Find common denominator

3 over 20

3

20

+ 7 over 16

7

16

= ( 3 × 4 ) over ( 20 × 4 )

3 × 4

20 × 4

+ ( 7 × 5 ) over ( 16 × 5 )

7 × 5

16 × 5

= 12 over 80

12

80

+ 35 over 80

35

80

80 is the least common multiple of denominators 20 and 16. Use it to convert to equivalent fractions with this common denominator.

Add

12 over 80

12

80

+ 35 over 80

35

80

= ( 12 + 35 ) over 80

12 + 35

80

= 47 over 80

47

80

Step 1 of 2: Add.Hide

Step 2 of 2: Simplify.

Simplify

47 over 80

47

80

Step 2 of 2: Simplify, sub-step a: Reduce the fraction to the lowest terms.

Reduce the fraction to lowest terms

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CaHeK987 [17]

Answer: 0.6375

Step-by-step explanation:

Let's assume that the event that she'll make the first shot is given as P(A) while making the second shot is P(B). Therefore, P(A/B) = 0.85

Therefore, the probability that she makes both free throws will be denoted as:

= 0.75 × 0.85

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Section 5.2 Problem 17:
Elina [12.6K]

This DE has characteristic equation

4r^2 - 12r + 9r = (2r - 3)^2 = 0

with a repeated root at r = 3/2. Then the characteristic solution is

y_c = C_1 e^{\frac32 x} + C_2 x e^{\frac32 x}

which has derivative

{y_c}' = \dfrac{3C_1}2 e^{\frac32 x} + \dfrac{3C_2}2 x e^{\frac32x} + C_2 e^{\frac32 x}

Use the given initial conditions to solve for the constants:

y(0) = 3 \implies 3 = C_1

y'(0) = \dfrac52 \implies \dfrac52 = \dfrac{3C_1}2 + C_2 \implies C_2 = -2

and so the particular solution to the IVP is

\boxed{y(x) = 3 e^{\frac32 x} - 2 x e^{\frac32 x}}

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Use the graph to find the x-intercept for the equation ý +2 Graph: Y + 2 = 2(x+3)
alex41 [277]

Answer:

(-2, 0)

Step-by-step explanation:

8 0
3 years ago
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Which is more 45g or 45ml?
MatroZZZ [7]

For water 1 gram = 1 ml.

This means 45 grams are equal to 45 ml's.

Neither one is greater than the other one as they are equal.

The problem doesn't state what is being measured, so the answer could be different depending on the density of the product being measured.

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NEED MATH HELP NOW. Please solve for x-intercept.
Lelechka [254]

Answer:

(1, 0) and (3, 0)

Step-by-step explanation:

y=2x²-8x+6

x- intercept when y=0

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