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bearhunter [10]
3 years ago
9

Sandy is ordering donuts for the cafeteria. She has a budget of $100. If each donut costs Sandy $0.15, and the donut shop charge

s a $30 service fee, which inequality below represents the maximum number of donuts she can buy?
Mathematics
1 answer:
murzikaleks [220]3 years ago
7 0

Answer:

0.15x + 30 ≤ 100

0.15x ≤ 70

Step-by-step explanation:

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The first president is George Washington
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Which pair of expressions is equivalent using the Associative Property of Multiplication? (3 points) 5(3a ⋅ 4) = 15a ⋅ 20 5(3a ⋅
cluponka [151]

Answer:

5(3a ⋅ 4) = (5 ⋅ 3a) ⋅ 4

Step-by-step explanation:

The Associative Property is applied to two types of operations: addition and multiplication. This property indicates that, when there are three or more terms in these operations, the result does not depend on the way in which the terms are grouped.

In this sense, the associative property for the sum is mathematically given by:

(x+y)+z=x+(y+z)

and for the multiplication by:

(xy)z=x(yz)

Now, let:

x=5\\y=3a\\z=4

Using the Associative Property of Multiplication:

(xy)z=x(yz)\\\\Replacing\hspace{3}the\hspace{3}values\\\\(5\cdot 3a)\cdot4=5(3a\cdot 4)

Therefore the equivalent expressions are:

5(3a ⋅ 4) = (5 ⋅ 3a) ⋅ 4

8 0
3 years ago
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If the sum of a number and six is doubled, the result is two less than the number. Find the number.
Hatshy [7]

Answer:

-14

Step-by-step explanation:

let the number= X

from the statement,

(X+6)×2 = X - 2

open bracket

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3 0
2 years ago
You can do the explain part if you want but don’t have to
Elan Coil [88]

n = 100 (or) 10²

Solution:

Given equation is 1.6 ÷ n = 0.016.

Part A:

To simplify the equation and find the value of n.

1.6 ÷ n = 0.016

$\frac{1.6}{n}=0.016

Do cross multiplication.

1.6=0.016n

Divide by 0.016 on both sides of the equation.

$\frac{16}{0.016}=n

To remove decimal point multiply and divide by 1000 on left side.

$\frac{1.6\times1000}{0.016\times1000}=n

$\frac{1600}{16}=n

100=n

Switch the sides.

n = 100

n = 10²

Hence the value of n is 10².

Part B:

$1.6\div10^2=\frac{1.6}{100}

              = 0.016

Hence the answer is true.

8 0
3 years ago
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Karo-lina-s [1.5K]

Answer:

Hypothesis (p): A polygon is a square

Conclusion: (q): It is a rectangle

Inverse: q → p         If a polygon is a rectangle, then it is a square

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Contrapositive: ~q → ~p    If a polygon is not a rectangle, then it is not a square

this is my answer

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