Explain how you would use equivalent fractions to solve .5 and .10

Answers

Answer 1

Answer: .5= 5/10 because you write it like you say it for example you say .5 like fives tenths so that is how you write it same with the other decimal .10= 1/10 or 10/100

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13. Calcule:A) a medida do ângulo interno de um triângulo equilátero
B) a soma das medidas dos ângulos internos de um polígono de 13 lados.
C) a medida do ângulo interno de um octógono regular.
D) a medida dos ângulos externos de um decágono regular.
E) a soma das medidas dos ângulos externos de um polígono regular de 12 lados.

Como posso calcular estas questões?

Answers

your answer will be B.

A store sells 2 1/4 pounds of mulch for every 1 1/2 pounds of gravel sold. The store sells 180 pounds of mulch and gravel combined. How many pounds of each item does the store sell?

Answers

Answer:

The pounds of mulch the store sells are 108 and the pounds of gravel the store sells are 72.

Step-by-step explanation:

Let

x -----> pounds of mulch the store sells

y ----> pounds of gravel the store sells

we know that

$x+y=180$ -----> equation A

Remember that

$2(1)/(4)\ lb=(2*4+1)/(4)=(9)/(4)\ lb$

$1(1)/(2)\ lb=(1*2+1)/(2)=(3)/(2)\ lb$

$(x)/(y)=((9/4))/((3/2))$

$(x)/(y)=(3)/(2)$

$x=(3)/(2)y$ -----> equation B

solve the system by substitution

substitute equation B in equation A

$(3)/(2)y+y=180$

solve for y

$(5)/(2)y=180$

$y=180(2)/5\ny=72$

Find the value of x

$x=(3)/(2)(72)=108$

The solution is the ordered pair (108,72)

therefore

The pounds of mulch the store sells are 108 and the pounds of gravel the store sells are 72.

A ladybugs length measures 2 cm express this measurement in meters. explain your thinking. include an Equation with an exponent in your explanation

Answers

Answer:

Length of lady bug in meters is:

0.02

Step-by-step explanation:

A ladybugs length measures 2 cm.

We have to express this measurement in meters.

We know that 1 m=100 cm

1 cm= 1/100 m

=0.01 m

2 cm=2×0.01 m

=0.02 m

Hence, Length of lady bug in meters is:

0.02

The measurement $2\text{ centimetre}$ in meters is $\boxed{\bf 0.02\text{\bf\ metre}}$ .

Further explanation:

The centimetre and metre are the units of measurement to calculate the length of an object.

“Centi” is first introduced in metric system that means one hundredth of a unit.

Therefore, $1$ meter is $100\text{ cm}$ or we can say a centimetre is one-hundredth of a meter.

It can be mathematically expressed as follows:

$\boxed{1\text{ m}\rightarrow 100\text{ cm}}$

Procedure used:

Conversion from centimetre to metre.

1) First divide the unit (cm) by $100$ .

2) Now represent the resultant fraction into decimal form by moving the decimal two times to the left.

Given:

The length of ladybug is $2\text{ cm}$ .

Calculation:

Step 1:

The length of ladybug is $2\text{ cm}$ .

Use the above procedure to convert $2\text{ cm}$ into meters.

First divide the number $2$ by $100$ .

$\boxed{2\text{ cm}=(2)/(100)\text{ m}}$

Step 2:

Now follow the second step of the procedure.

The first digit on the right of decimal known as tenths or can say $(1)/(100)$ .

The second digit on the right of decimal known as hundredth or can say $(1)/(100)$ .

The resultant fraction $(2)/(100)$ can be convert into decimal form as follows:

$\boxed{(2)/(100)=0.02}$

Here, we shifted the decimal two times to the left in the digit $2$ .

Therefore, the unit of $2\text{ cm}$ in meters is $0.02\text{ m}$ .

Thus, the measurement $2\text{ centimetre}$ in meters is $\boxed{\bf 0.02\text{\bf\ metre}}$ .

Learn more:

1. Learn more about the representation of the graph brainly.com/question/2491745

2. Learn more about the graph of the quadratic function brainly.com/question/2334270

3. Learn more about graphed below of the function brainly.com/question/9590016

Answer details:

Grade: Junior school

Subject: Mathematics

Chapter: Units and measurement

Keywords: Measurement, unit, decimal, fractions, ones tens, tenth, hundredth, position, numbers, centimetres, meters, numbering system, denominator, conversion, rational number, whole numbers, left side, ladybug, length.

Two functions are shown in the table below: Function 1 2 3 4 5 6 f(x) = −x2 + 4x + 12 g(x) = x + 2 Complete the table on your own paper, then select the value that is a solution to f(x) = g(x). x = 2 x = 3 x = 5 x = 6

Answers

Answer:

x f(x) g(x)

1 15 3

2 16 4

3 15 5

4 12 6

5 7 7

6 0 8

f(x) = g(x) when x = 5

Step-by-step explanation:

f(x) = -x² + 4x + 12

f(1) = -(1)² + 4(1) + 12 = 15

f(2) = -(2)² + 4(2) + 12 = 16

f(3) = -(3)² + 4(3) + 12 = 15

f(4) = -(4)² + 4(4) + 12 = 12

f(5) = -(5)² + 4(5) + 12 = 7

f(6) = -(6)² + 4(6) + 12 = 0

g(x) = x + 2

g(1) = 1 + 2 = 3

g(2) = 2 + 2 = 4

g(3) = 3 + 2 = 5

g(4) = 4 + 2 = 6

g(5) = 5 + 2 = 7

g(6) = 6 + 2 = 8

Final answer:

The solution to the equation f(x) = g(x), where f(x) = −x² + 4x + 12 and g(x) = x + 2, is x = 5. To find this, set the equations equal to each other, simplify, and then factor to solve for x.

Explanation:

To find the solution to the equation f(x) = g(x), we need to set the formulas given for each function equal to each other and then solve for x. We are given f(x) = −x² + 4x + 12 and g(x) = x + 2, so we write out the equation as follows:

−x² + 4x + 12 = x + 2

Now we need to solve this equation for x. First, let's simplify by gathering all terms to one side of the equation:

−x² + 4x - x + 12 - 2 = 0

This simplifies to −x² + 3x + 10 = 0

Next, we'll factor this quadratic equation to solve for x: -(x – 5)(x + 2) = 0.

Setting each factor equal to zero gives the solution: x = 5, x = -2. Looking back at the original options, only x = 5 is a viable option.

Learn more about Solving Equations here:

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How do you know that the answer is 40?Maria wants to draw a painting with an are of 40 square inches. If she drew her painting on 1-inch grid paper how many squares would the painting cover?

Explain

Answers

With grid paper, each square is the same area. If the grid paper used is one-inch grid paper, that means each square on the paper is one square inch.Therefore, if Maria wants to draw something that is 40 square inches, it will fill 40 squares on the one-inch grid paper.

What is 60,360 rounded to the nearest thousand?

Answers

60,360 rounded to the nearest thousands is 60,000.

60,000 if it's less than 500 it rounds down to 60,000 if it's more than 500 it goes to 61,000

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