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max2010maxim [7]
3 years ago
12

You can spend at most $60 on beads. A bag containing red beads costs $2 per bag. A bag containing blue beads costs $3 per bag. Y

ou need more bags of blue beads than bags of red beads. Write a system of linear equations that represents the situation.
Mathematics
2 answers:
nexus9112 [7]3 years ago
8 0
For this case, the first thing we must do is define variables.
 We have then:
 x: number of blue beads
 y: number of red beads
 We now write the inequations system:
 3x + 2y  \leq  60

x\ \textgreater \  y
 Answer:
 a system of linear inequations that represents the situation is:
 3x + 2y \leq 60 x\ \textgreater \ y
nikitadnepr [17]3 years ago
5 0

Answer:

2r+3b\leq 60

Step-by-step explanation:

Let the number of blue beads bag be represented by = b

Let the number of red beads bags be represented by = r

A bag containing red beads costs $2 per bag. So, total price = 2r

A bag containing blue beads costs $3 per bag. So, total price = 3b

Now its given , you can spend at most $60 on beads so equation becomes:

2r+3b\leq 60

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The length of a DNA nucleotide building block is about 1 nanometer, or 0.000000001 meters. Fill in the blank to write this numbe
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Answer: 0.1 I might be wrong tho

Step-by-step explanation:

6 0
3 years ago
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The volume of a 10 ounce box of cheerios is 258.75in3. the length of the box is 4 inches less than the height and the width is 3
Marina86 [1]

Answer:

Height of the box = 11.5 in

Step-by-step explanation:

Let h be the height of the box.

Assuming the volume of the Box is 258.75\ in^3.

Given:

Length = Height - 4 = h - 4

Width = 3 in

We need to find the height of the box.

Solution:

We know that the volume of the box.

Volume = Length\times height\times width

Substitute all given value in above formula.

258.75 = (h-4)\times h\times 3

Rewrite the equation as:

258.75 = 3h(h-4)

258.75 = 3h^2-12h

3h^2-12h-258.75=0

whole equation divided by 3.

h^2-4h-86.25=0

Use quadratic formula with a = 1, b = -4,c=-86.25

h=\frac{-b\pm \sqrt{(b)^{2}-4ac}}{2a}

Put these a, b and c value in above equation.

h=\frac{-(-4)\pm \sqrt{(-4)^{2}-4(1)(-86.25)}}{2(1)}

h=\frac{4\pm \sqrt{16+345}}{2}

h=\frac{4\pm \sqrt{361}}{2}

h=\frac{4\pm 19}{2}

For positive sign

h=\frac{23}{2}  

h = 11.5 in

For negative sign

h=\frac{-15}{2}

h = -7.5

We take positive value of h.

Therefore, the height of the box h = 11.5 in

4 0
3 years ago
A right triangle has legs of lengths 9 cm and 12 cm. calculate the length of the hypotenuse?
just olya [345]
Let the legs of the triangle be a and b, and the hypotenuse c.

Your first instinct might tell you to use the Pythagorean theorem to go about solving this because c= \sqrt{a^{2}+b^{2}}. This works, but it is slow.

The fastest way to solve this is to recognize that the right triangle is a special triangle where the ratio of the sides are 3:4:5. This means that if the legs are 9 and 12, then the hypotenuse is 15 because 3*3 is 9, 3*4 is 12, and 3*5 is 15.
6 0
3 years ago
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Evaluate the integral x^3 (x 4 −8)^44 dx by making the substitution u = x^4 - 8
Eduardwww [97]

Answer:

(x^4-8)^45 /180 +c

Step-by-step explanation:

If u=x^4-8, then du=(4x^3-0)dx or du=4x^3 dx by power and constant rule.

If du=4x^3 dx, then du/4=x^3 dx. I just divided both sides by 4.

Now we are ready to make substitutions into our integral.

Int(x^3 (x^4-8)^44 dx)

Int(((x^4-8)^44 x^3 dx)

Int(u^44 du/4)

1/4 Int(u^44 dul

1/4 × (u^45 / 45 )+c

Put back in terms of x:

1/4 × (x^4-8)^45/45 +c

We could multiply those fractions

(x^4-8)^45 /180 +c

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3 years ago
What is 88+8698? Multiplied by 56
IRINA_888 [86]

Answer: 492016

Step-by-step explanation:

88+8698= 8786

8786×56= 492016

6 0
3 years ago
Read 2 more answers
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