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DedPeter [7]
3 years ago
11

(21)(-4)(3)(1 over 5)(5) 1 over 5 is a fraction

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
6 0

I hope this is the expression you want to write:
(21)(-4)(3)(\frac{1}{5})(5) (\frac{1}{5})
At first we can convert all the integers in fraction form. So,

(\frac{21}{1})(-\frac{4}{1})(\frac{3}{1})(\frac{1}{5})(\frac{5}{1}) (\frac{1}{5})
Next step is to multiply the numerators and denominators. So,
\frac{21*(-4)*3*1*5*1}{1*1*1*5*1*5}
=-\frac{1260}{25}
=-\frac{252}{5}

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Line a ∥ line b. Find the value of x and y. Please show all work for credit.
olasank [31]

Answer:

x = 12, y =

Step-by-step explanation:

a || b

5x - 7 = 3x + 17   Alternative Interior Angles

x = 12   Algebra

Angle 3x + 17 = 53   Substitution

53 + 4y + 3 = 180   Supplementary Angles

y = 31

5 0
2 years ago
Put these numbers in order from least to greatest 12%, -1/2, 0, -0.22, 0.56
uysha [10]

Answer: -1/2, -0.22, 0, 12%, 0.56

Step-by-step explanation:

-1/2 is equal to -0.50, making it the number with the least value.

-0.22 is closer to 0 than -0.50, meaning it is greater then -0.50 and less than 0.

0 is between the negative and positive numbers, giving it the spot that it has.

12% is equivalent to 0.12, meaning it is more than 0, and less than 0.56, which is the greatest number.

0.56 has more value than any other number in the problem, meaning it goes last in the order.

8 0
3 years ago
if caramel is put onto a sphere-shaped apple such that the surface area increase at a rate of 10 cm2/min, find the rate at which
tresset_1 [31]

Answer:

The diameter will increase at a rate of 1/30π cm/min

Step-by-step explanation:

Here we want to calculate the rate at which the diameter will increase

Mathematically, the area of a sphere is given as;

A = 4πr^2

But r = d/2

so A = 4 * π * d/2 * d/2 = πd^2

dA/d(d) = 2πd

Thus dd/dA = 1/2πd = 1/2 * π * 15 = 1/30π

Given dA/dt = 10

Mathematically;

d(d)/dt = d(d)/dA * dA/dt

dd/dt = 1/30π * 10 = 10/30π = 1/3π cm/min

5 0
3 years ago
A store sells both cold and hot beverages. Cold beverages, c, cost $1.50, while hot beverages, h, cost $2.00. On Saturday, drink
ra1l [238]

Answer:

The number of hot beverages sold were 45 and the number of cold beverages sold were 180.

Step-by-step explanation:

Let the number of cold  beverages sold be c

And the number of hot beverages sold be h

According to the question:

c=4\times h...

$ 1.5\times c + 2\times h = Sale of any day

Part1:

For Saturday.

The sale is of $360

then

$ 1.5 \times c + $ 2 \times h =$ 360

Part 2:

Following the method of substitution.

And plugging the values of c=4\times h...in equation where the sales of Saturday is given.

1.5\times c + 2\times h =360

1.5\times 4\times h + 2 \times h =360

6\times h + 2\times h= 360

8\times h=360

Dividing both sides with 8.

h=\frac{360}{8}

h=45

Inserting h=45 in c=4 \times h...

we have c=4\times 45 = 180

So the number of hot beverages sold were 45 and the number of cold beverages sold were 180.

6 0
3 years ago
On a map of the United States, the distance between New York City and Nashville, TN is 2.5 inches. In real life, the distance is
Natalka [10]

Answer: Rounded: 350 miles/inch

Exactly 352 miles per inch.

Step-by-step explanation: Divide the miles by the inches to find miles per inch.

880/2.5 = 352.

It would make sense to round that to say the scale is 350 miles per inch.

One inch represents 350 miles

3 0
2 years ago
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