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Citrus2011 [14]

3 years ago

8

What two sums are equal to 3 3/4? Pls show work.

1 answer:

Rina8888 [55]3 years ago

5 0

3 + 3/4 = 3 3/4

Ans: 3 and 3/4

2 + 1 3/4 = 3 3/4

Ans: 2 and 1 3/4

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Two mechanics worked on a car. The first mechanic worked for

Temka [501]

Write a system of equations:

x + y = 125

20x + 15y = 2100

Solving:

x = 125 - y

20(125 - y) + 15y = 2100
2500 - 20y + 15y = 2100
2500 - 5y = 2100
-5y = 2100 - 2500
-5y = -400
y=80

x + 80 = 125
x = 125 - 80
x = 45

The first charges 45$ per hour and the second charges 80$ per hour

4 0

3 years ago

The results of a test of a metal are shown in the table, with strain in meters per meter, andstress in units called megapascals,

shusha [124]

a.

b.

The metal obey this law for values of strain until 0.05, where we have a linear relationship (each increase of 0.01 in the strain causes an increase of 100 in the stress). After this point, we don't have a linear relationship anymore.

c. Since an increase of 0.01 in the strain causes an increase of 100 in the stress, the slope is:

$m=\frac{100}{0.01}=10000$

Now, calculating the coefficient b (y-intercept), we have:

$\begin{gathered} (0.01,100)\colon \\ 100=0.01\cdot10000+b \\ 100=100+b \\ b=0 \end{gathered}$

So the equation is:

$y=10000x$

d.

The maximum value of stress is 560, and occurs at strain = 0.07.

8 0

1 year ago

Write a unit rate for the situation: 2520 kilobytes in 18 seconds

elixir [45]

140 kilobytes per second

7 0

3 years ago

Read 2 more answers

URGENT HELP PLEASE!

Vaselesa [24]

Answer:

(a) $x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}$

(b) $x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}$

Step-by-step explanation:

It is given that $0\leq x\leq 2\pi$ .

(a)

$\sqrt{2}\sin 2x=1$

$\sin 2x=\dfrac{1}{\sqrt{2}}$

$\sin 2x=\dfrac{\pi}{4}$

$2x=\dfrac{\pi}{4},\dfrac{3\pi}{4},\dfrac{9\pi}{4},\dfrac{11\pi}{4}$ $[\because \sin x=\sin y\Rightarrow x=n\pi+(-1)^ny]$

$x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}$

(b)

$\csc^2 x-\csc x-2=0$

$\csc^2 x-2\csc x+\csc x-2=0$

$\csc x(\csc x-2)+1(\csc x-2)=0$

$(\csc x+1)(\csc x-2)=0$

$\csc x=-1\text{ or }\csc x=2$

$\sin x=-1\text{ or }\sin x=\dfrac{1}{2}$ $[\because \sin x=\dfrac{1}{\csc x}]$

$x=\dfrac{3\pi}{2}\text{ or }x=\dfrac{\pi}{6},\dfrac{5\pi}{6}$

Therefore, $x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}$ .

5 0

3 years ago

What is the value of R?

Vinil7 [7]

Answer:

B

Step-by-step explanation:

Subtract 150 from both sides

-5r ≥ -62.5

Divide both sides by -5

r ≤ 12.5

(The greater than sign flips around when you divide or multiply both sides by a negative number)

8 0

2 years ago

Read 2 more answers