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3 years ago

Simplify:2 1/3(4 1/4÷2)

Mathematics

1 answer:

kondor19780726 [428]3 years ago

4 0

Answer:

$4\frac{23}{24}$

Step-by-step explanation:

We want to simplify:

$2\frac{1}{3}(4\frac{1}{4}\div 2)$

We convert to improper fraction to get:

$\frac{7}{3}(\frac{17}{4}\div 2)$

We now deal with the parenthesis by multiplying with the reciprocal of 2.

$\frac{7}{3}(\frac{17}{4}\times \frac{1}{2} )$

This gives:

$\frac{7}{3}(\frac{17}{8})$

We multiply to get:

$\frac{7}{3}(\frac{17}{8})$

This simplfies to:

$\frac{119}{24}$

We write as mixed number

$4\frac{23}{24}$

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Taylor earned the following scores on her first ten quizzes. What would she need to earn on the eleventh test in order to have a

Sauron [17]

A mean is an arithmetic average of a set of observations. The score that Taylor needs to make in her eleventh test for the average to be 87 is 93.

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

The score earned by Taylor in her first 10 test are 78, 92, 98, 87, 86, 72, 92, 81, 86, 92. Also, she wants the average to be 87, therefore, we can write,

(78 + 92 + 98 + 87 + 86 + 72 + 92 + 81 + 86 + 92 + x)/11 = 87

864 + x = 957

x = 93

Hence, The score that Taylor needs to make in her eleventh test for the average to be 87 is 93.

Learn more about Mean:

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7 0

2 years ago

im fumb so help me with this lol first person to tell me the right anwser will get marked as brainliest

AnnZ [28]

It is 25 percentage of sqaure

8 0

3 years ago

Consider a candle that has a volume of 96 cubic inches and a weight of 44.16 ounces. What is the density of the candle? The dens

Ahat [919]

Answer:

1. 55.271 inches/lb

2. 3.075 inches/lb

3. The denser one is the pine, so it would be heavier.

Step-by-step explanation:

1. density of the pine log (which is a cylinder)

We need the weight/mass and the volume.

V(cylinder) = πr^2 * height

= πr^2 = π(5^2) = 25π = 78.54

= 78.54 * 30 = 2356 cubic inches

The weight is 42.63.

Density = mass/volume = 2356/42.63 = 55.271 inches/lb

2. density of the oak board (which is a rectangular prism)

We need the weight/mass and the volume.

V(prism) = l*w*h

= 5.5*1.5*3 = 24.75 cubic inches

The weight is 8.05.

Density = mass/volume = 24.75/8.05 = 3.075 inches/lb

3. Picture a box made out of stone and a box made out of cardboard. Same dimensions, but the stone one would be way heavier because stone is denser.

6 0

4 years ago

2x^2+3x=(2x-1)(x+1) Pls do explain

Serggg [28]

<h3>Answer:</h3>

$x=-\frac{1}{2}$

<h3>Step-by-step explanation:</h3>

You could solve this problem by either: Factoring or by using the Quadratic Formula.

SOLVING BY FACTORING STEPS

STEP 1: Move (2x−1)(x+1) to the left side of the equation by subtracting it from both sides.

$2x^2+3x-(2x-1)(x+1)=0$

STEP 2: Simplify 2x^2+3x−(2x−1)(x+1).

$2x+1=0$

STEP 3: Simplify each term.

$2x^2+3x-2x^2-x+1=0$

STEP 4: Simplify by adding terms.

$2x+1=0$

STEP 5: Subtract 1 from both sides of the equation.

$2x=-1$

STEP 6: Divide each term by 2 and simplify.

$x=-\frac{1}{2}$

SOLVE BY USING THE QUADRATIC FORMULA STEPS

STEP 1: Move all terms to the left side of the equation and simplify.

$2x+1=0$

STEP 2: Subtract 1 from both sides of the equation.

$2x=-1$

STEP 3: Divide each term by 2 and simplify.

$x=-\frac{1}{2}$

5 0

3 years ago

Read 2 more answers

Write an equation of the line that passes through (1,2) and is parallel to the line y = -5x+4

ArbitrLikvidat [17]

Answer:

y =-5x + 7

Step-by-step explanation:

y = -5x + 4

Slope = -5

Parallel lines have same slope

Slope of the parallel line to this line = -5

(1 , 2)

y -y1 =m(x - x1)

y - 2 = -5(x - 1)

y -2 = -5x + 5

y = -5x + 5 + 2

y = -5x + 7

8 0

3 years ago