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3 years ago

Please help with the 2 questions ive attached, i dont understand it at all

Mathematics

1 answer:

vesna_86 [32]3 years ago

3 0

Answer:

see explanation

Step-by-step explanation:

(a)

Consider the denominator

To obtain 5xy from x , multiply by 5y

Thus numerator is multiplied by 5y, that is

$\frac{1}{x}$ = $\frac{5y}{5xy}$

(b)

Consider the numerator

To obtain 5ab² from ab, multiply by 5b

Thus denominator is multiplied by 5b, that is

$\frac{ab}{2c}$ = $\frac{5ab^2}{10bc}$

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soymeal is 14 percent protein cornmeal is 7 percent protein how many pounds of each should be mixed together in order to get 280

erma4kov [3.2K]

Let the weight of soymeal be s, and let the weight of cornmeal be c.
You need a total of 280 lb, so that gives us one equation.

s + c = 280

Now we use the protein to write another equation.
The protein in s lb of soymeal is 0.14s.
The protein in c lb of cornmeal is 0.07c.
The protein in 280 lb of 0.09% protein mix is 0.09(280).
This gives us a second equation.

0.14s + 0.07c = 0.09(280)

Now we solve the two equations as a system of equations.

s + c = 280
0.14s + 0.07c = 0.09(280)

Solve the first equation for s and plug in tot eh second equation.

s = 280 - c

0.14(280 - c) + 0.07c = 25.2

39.2 - 0.14c + 0.07c = 25.2

-0.07c = -14

c = 200

Now we substitute c = 200 in the first equation to find s.

s + 200 = 280

s = 80

Answer: 200 lb of soymeal and 80 lb of cornmeal

6 0

3 years ago

The function L = 0.8T^2 models the relationship between L, the length in feet of a pendulum, and T, the period in seconds of the

Semmy [17]

The correct option is "d".
Given that L = 0.8T²
length of pendulum = 30ft

L= 0.8T²
30 = 0.8T²
T² = 30 / 0.8
T² = 37.5
T = √37.5 = 6.1 seconds
So, 6.1 is the closest to the period in seconds for a pendulum that is 30 ft long.

7 0

3 years ago

Solve the following quadratic function by utilizing the square root method. f(x) = 1 - x2 x = + [?]

faltersainse [42]

Answer:

Step 1) y=16-x2. Swap the sides so that all terms of the variables are on the left side. Step 2) 16-x_{2}=y. Subtract 16 from both sides. Step 3) -x_{2}=y-16 Divide the two sides by -1. Step 4). \frac{-x_{2}}{-1}=\frac{y-16}{-1} Dividing by -1 undoes the multiplication by -1. Step 5). x_{2}=\frac{y-16}{-1} Step 6) dived y-16 by -1 And the final answer = x_{2}=16-y

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Find thhe remainder when 7^203 is divided by 4

Aleksandr [31]

Using the square-and-multiply approach, we have

$7^{203}=7\times(7^{101})^2$
$7^{101}=7\times(7^{50})^2$
$7^{50}=(7^{25})^2$
$7^{25}=7\times(7^{12})^2$
$7^{12}=(7^6)^2$
$7^6=(7^3)^2$
$7^3=7\times7^2$

and so, using the property that, if $a_1\equiv b_1\mod n$ and $a_2\equiv b_2\mod n$ , then $a_1a_2\equiv b_1b_2\mod n$ , we get

$7\equiv3\mod4$
$7^2\equiv9\equiv1\mod4$
$7^3\equiv7\times1\equiv7\equiv3\mod4$
$7^6\equiv9\equiv1\mod4$
$7^{12}\equiv1\mod4$
$7^{25}\equiv7\times1\equiv7\equiv3\mod4$
$7^{50}\equiv9\equiv1\mod4$
$7^{101}\equiv7\times1\equiv7\equiv3\mod4$
$7^{203}\equiv7\times9\equiv3\times1\equiv3\mod4$

4 0

3 years ago

Find the value of x. (16x-4)° 58° (9x-6)°

mars1129 [50]

16x - 4 + 58 + 9x - 6 = 180
25x + 48 = 180
25x = 132
x = 5.28

5 0

2 years ago