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Tanzania [10]
2 years ago
12

Han made some hot chocolate by mixing 4 cups of milk with 6 tablespoons of cocoa. How many tablespoons of cocoa per cup of milk

is that?
Mathematics
1 answer:
jek_recluse [69]2 years ago
8 0

Answer:

.8

Step-by-step explanation:

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A quarter is approximately 0.07 inches thick. A dollar bill is approximately 4.3 × 10-3 inches thick.
nlexa [21]

Answer:

m = 6.57 and n = -2

Step-by-step explanation:

To answer this question you will covert the thickness of a dollar to standard notation and then compare the two values.

0.07 =compared to 0.0043 = 0.0657

0.0657 = 6.57 x 10^-2

A quarter is thicker than a dollar by 6.57 x 10^-2.

m = 6.57 and n = -2

8 0
2 years ago
Write 12,430,090in expanded form
stira [4]
10,000,000+2,000,000+
400,000+30,000+90
7 0
2 years ago
The total cost of an item including sales tax is directly proportional to its price. If the total cost of a $32 item is $33.60 ,
pav-90 [236]
Let the total cost of the item be represented by C and the price be represented by P, then given that t<span>he total cost of an item including sales tax is directly proportional to its price, thus</span>

C\propto P \\  \\ \Rightarrow C=kP

where k is a constant.

Given that <span>the total cost of a $32 item is $33.60, thus

33.60=32k \\  \\ \Rightarrow k= \frac{33.60}{32} =1.05

Therefore, the total cost on a $55 item is given by

C=1.05\times55=\$57.75</span>
3 0
2 years ago
The area of the conference table in Mr. Nathan’s office must be no more than 175 ft2. If the length of the table is 18 ft more t
valentina_108 [34]
The answer is  0 < x <span>≤ 7 
</span>
First, we know that width =  x
Which means that length = x +18

So, the possible equation for the Table's area is

X (X + 18)  ≤ 175

X^2 + 18x - 175  <span>≤ </span>0

Next, we need to calculate is by using complete square method
x^2 + 18x + 81 <span>≤ 175 + 81

(x + 9)^2 </span><span>≤ 256

|x + 9| </span><span>≤ sqrt(256)

|x + 9| </span><span>≤ +-16

-16 </span>≤ x + 9 <span>≤ 16

</span>-16 - 9 ≤ x <span>≤ 16 - 9

</span>-25 ≤ x <span>≤ 7

Since the width couldn't be negative, we can change -25 with 0,

so it become
</span> 0 < x ≤ 7 
7 0
2 years ago
Circle A and circle B are congruent. CD is a chord of both circles. If AB = 8 ft and CD = 6 ft, how long is a radius?
bazaltina [42]

Let us say that the intersection point of lines AB and CD is called point E. The lines AB and CD are perpendicular to each other which also means that the triangle CEB is a right triangle.

Where the line CB is the radius of the circle while the side lengths are half of the whole line segment:

EB = 0.5 AB = 0.5 (8 ft) = 4 ft

CE = 0.5 CD = 0.5 (6 ft) = 3 ft

Now using the hypotenuse formula since the triangle is right triangle, we can find for the radius or line CB:

CB^2 = EB^2 + CE^2

CB^2 = (4 ft)^2 + (3 ft)^2

CB^2 = 16 ft^2 + 9 ft^2

CB^2 = 25 ft^2

<span>CB = 5 ft = radius</span>

7 0
2 years ago
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