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Sphinxa [80]
3 years ago
5

Use the model to show to help find the sum 0.34 plus 0.49

Mathematics
1 answer:
CaHeK987 [17]3 years ago
7 0

Answer/Step-by-step explanation:

The idea to use in solving this problem using the model, is to express the number of shaded boxes in fraction form.

Thus, the blue red shaded boxes has 34 boxes shaded out of 100 boxes. This represents \frac{34}{100}. This will give us 0.34.

The other shaded boxes represents \frac{49}{100} = 0.49.

Using the model, we can solve 0.34 + 0.49.

Add both fractions together.

\frac{34}{100} + \frac{49}{100} = \frac{34+49}{100}

\frac{83}{100} = 0.83

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A student brings whole cherry and cheese danishes to his class for his birthday. The number of cherry danishes he brings is at l
LenKa [72]

Let the number cherry Danishes be x

Let the number cheese Danishes be y

 

Given,

The number of cherry Danishes the student brings is at least 3 more than 2/3 the number of cheese Danishes

x ≥ 3 + (2/3)y

 

Given,

The number of cherry Danishes the student brings is no more than twice the number of cheese Danishes.

x ≤ 2y

 

Merging, the two inequalities above,

3 + (2/3)y ≤ x ≤ 2y

3 + (2/3)y ≤ 2y

OR 2y ≥ 3 + (2/3)y

2y – (2/3)y ≥ 3

 

Multiply both sides by 3

(3 * 2)y – (3 * 2/3)y ≥ 3 * 3

6y – 2y ≥ 9

4y ≥ 9

y ≥ 9/4

 

Since x ≥ 3 + (2/3)y, and y ≥ 9/4

Then, x ≥ 3 + (2/3 * 9/4)

x ≥ 3 + (2/3 * 9/4)

x ≥ 3 + 3/2

x ≥ 9/2

 

Since y ≥ 9/4 and x ≥ 9/2

x + y ≥ 9/4 +9/2

x + y ≥ 27/4

x + y ≥ 6.75

 

 

x + y represents the total number of Danishes the student brings

x + y ≥ 6.75 means that the total number of Danishes the student brings is 6.75

 

<span>BUT since the total number of Danishes must be an integer, then that the total number of Danishes the student brings is 6.</span>

3 0
3 years ago
Read 2 more answers
Translate into an equation: Four more than twice a number is 8.
OleMash [197]
Here’s the equation:
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8 0
3 years ago
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The length of each of the two congruent sides if an isosceles triangle is 2n+7 and the length of the third side is 3n. Draw and
diamong [38]

Answer:

Part 1) The draw in the attached figure

Part 2) P=(7n+14)\ units  and  P=7(n+2)\ units

Step-by-step explanation:

Part 1) Draw and label the triangle.

we know that

The isosceles triangle has two equal sides and two equal interior angles

In this problem we have the isosceles triangle ABC

so

AB=AC

∠B=∠C

AB=(2n+7)\ units

AC=(2n+7)\ units

BC=3n\ units

The draw of the isosceles triangle ABC in the attached figure

Part 2) Write two equivalent expressions for its length of the perimeter

Remember that

The perimeter of any triangle is the sum of its three length sides

In this problem

The perimeter of triangle ABC is equal to

P=AB+AC+BC

substitute the given values

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Combine like terms

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7 0
4 years ago
Which expression is equivalent to 3x + 6y + 3?
velikii [3]

Answer:

3x+6y+3

Step-by-step explanation:

it is that beacouse no like term

3x+6y+3

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=1%20%5Ctimes%20%5Cfrac%7B916191%7D%7B1%7D%20" id="TexFormula1" title="1 \times \frac{916191}{1
Anarel [89]

should be 916191, because 916191 over 1 would be 916191

6 0
3 years ago
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