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ludmilkaskok [199]
3 years ago
5

To make 12 ounces of hot chocolate, 3 tablespoons of cocoa are needed. How many tablespoons of cocoa are needed to make 72 ounce

s of hot chocolate? 4 tablespoons 10 tablespoons 12 tablespoons 18 tablespoons
Mathematics
1 answer:
astra-53 [7]3 years ago
3 0
18 tablespoons 12 fits into 72 6 times and 6x3 is 18
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A circular mirror is surrounded by a square metal frame. The radius mirror is 6x the side length of the medal frame is 18x. What
wolverine [178]

Answer:

Step-by-step explanation:

Given:

Radius of circular mirror, r = 6x

Length of metal frame, l = 18x

Area of square, As = l^2

Area of square = 18x × 18x

= 324 x^2.

Area of circular mirror, Ac = pi × r^2

= π × (6x)^2

= 36π x^2.

The expression for the area of the frame is subtracting the mirror from the metal frame = As - Ac

= 324x^2 - 36πx^2

= 36x2 (9 - π).

4 0
3 years ago
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A line passes through (4, 5) and (8, 9). Which equation best represents the line?
xxTIMURxx [149]

Answer:

that is the equation of the line, its slope is 1 and the y-intercept is 1 y = x + 1

Step-by-step explanation:

we can calculate the slope of this line passing through (4,5) and (8,9) like this:

m = (y2 - y1)/(x2 - x1)

m = (9 - 5)/(8 - 4)

m = 4/4

m = 1

so the slope is 1, and now we can use the equation of one point and the slope to write the line's equation:

y - y1 = m(x - x1)

y - 5 = 1*(x - 4)

y - 5 = x - 4

y = x + 1

that is the equation of the line, its slope is 1 and the y-intercept is 1



7 0
3 years ago
Evaluate each of the following to three significant figures, and express each answer in SI units using an appropriate prefix: (a
Softa [21]

Answer:

a). 4.86\times 10^{-15} m

b). 4.21\times 10^{-2} m³

c). 7.00\times 10^{3} N²

Step-by-step explanation:

In this question we have to convert each option into SI units.

a). 4.86(10^{-6})^{2} mm

= 4.86\times (10^{-12})\times (10^{-3} ) m

= 4.86\times 10^{-15} m

b). (348 mm)³

= (348)^{3}\times (10^{-3})^{3} m³

= 42144192\times 10^{-9} m³

= 4.21\times 10^{-2} m³

c). (83700)^{2}\times (10^{-3})^{2} N²

= 700569\times 10^{4}\times 10^{-6} N²

= 7.00\times 10^{9}\times 10^{-6}N^{2}

= 7.00\times 10^{3} N²

7 0
3 years ago
The perimeter of this figure is 70 feet. How long are the unknown sides?
Damm [24]
5+10+10+12+14+7= 58
x= 70-58
x=12 ft
4 0
3 years ago
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M=-2, passes through (3,5)
navik [9.2K]
5=3(-2) +b
5=(-6)+b
+6 +6
11=b
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3 years ago
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