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3 years ago

Which diagram is NOT a good model of 1/5÷6?

Mathematics

2 answers:

salantis [7]3 years ago

7 0

<h3>Answer: Lower left corner </h3>

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Explanation:

Ignore the dashed smaller lines for now. The solid black vertical lines form 4 smaller equal pieces, and not 5. Each tickmark represents 1/4 and not 1/5

So if you wanted to represent a model for $\frac{1}{4}\div 6$ , then you would use the lower left corner. However, we want that 1/4 to be 1/5 instead. So this is why the answer is the lower left corner.

Everything else is a correct model. We started dividing everything into 5 equal parts. Then we focused on one of those slices, and subdivided that slice into 6 equal parts. Imagine doing that for each slice and we should have 5*6 = 30 smaller pieces total. Hence $\frac{1}{5} \div 6 = \frac{1}{5} \times \frac{1}{6} = \frac{1}{30}$

ExtremeBDS [4]3 years ago

4 0

Answer:

The circle one

Step-by-step explanation:

What you need to do is count the number of squares or slices it has and then count how Buchanan the chunk is divided into, should be 6

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One fourth the sum of x and ten is identical to x minus 4."

Lynna [10]

Answer and Step-by-step explanation:

We are given the word format of an equation.

Let's right it out in numerical form.

$\frac{1}{4} (x + 10) = x - 4$

The first part says One fourth the sum of x and 10

The sum of x and 10 would be shown as x + 10, and one fourth of that means that $\frac{1}{4}$ is multiplying (x + 10).

In this case, identical would mean equal to.

So, $\frac{1}{4}$ (x + 10) would be = to something.

It says that it is identical to x minus 4 (x - 4).

$\frac{1}{4} (x + 10) = x - 4$ <u> is the equation.</u>

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

5 0

3 years ago

How do I solve for the missing lengths?

Advocard [28]

Answer:

Part 4) $ER=3\ units$

Part 5) $DF=9\sqrt{10}\ units$

Part 6) $DE=30\ units$

Step-by-step explanation:

Part 4) Find ER

we know that

In the right triangle ERF

Applying the Pythagorean Theorem

$EF^2=ER^2+RF^2$

substitute the given values

$(3\sqrt{10})^2=ER^2+9^2$

solve for ER

$ER^2=(3\sqrt{10})^2-9^2$

$ER^2=90-81\\ER^2=9\\ER=3\ units$

Part 5) Find DF

we know that

In the right triangle DRF

Applying the Pythagorean Theorem

$DF^2=DR^2+RF^2$

substitute the given values

$DF^2=27^2+9^2$

$DF^2=810\\DF=\sqrt{810}\ units$

simplify

$DF=9\sqrt{10}\ units$

Part 6) Find DE

we know that

$DE=DR+RE$ ----> by segment addition postulate

we have

$DR=27\ units\\RE=ER=3\ units$

substitute

$DE=27+3=30\ units$

3 0

3 years ago

What is the greatest number which can be made using each of the digits 53147

yarga [219]

Without getting fancy or tricky, the greatest number is 75,431 .

The fancy, tricky answers are things like (431)⁷⁵ and others like that.

7 0

3 years ago

If f(x) = 3x - 2 and g(x) = 2x + 1, find (f+g)(x).

jeka57 [31]

Answer:

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

f(x) + g(x)

= 3x - 2 + 2x + 1 ← collect loke terms

= 5x - 1 → A

5 0

3 years ago

The number of bacteria in a culture increases continuously and rapidly when put under a heat source. a culture containing 20 bac

Len [333]

Answer:

The answer is 14.46%

Step-by-step explanation:

Given is : A culture containing 20 bacteria multiplies to 117,360 in one minute.

Let A0 be initial bacteria count = 20

Let A be final bacteria count = 117360

Time = 60 seconds

R = rate

Formula to be used = $A=A0e^{rt}$

$117360=20e^{r*60}$

$5868=e^{60r}$

Taking log function (ln) on both sides.

$ln(5868)=ln(e^{60r} )$

$60r=8.677$

Hence, r = 0.1446 and in percentage it is 14.46%

5 0

3 years ago