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3 years ago

The sum of 5 times a number and 8 is equal to 9

Mathematics

1 answer:

Irina-Kira [14]3 years ago

4 0

Answer:

The unknown number is $\frac{1}{5}$

Step-by-step explanation:

Let's make the unknown number x.

The sum of 5 TIMES a number (x) & 8 is 9.

Let's write it mathematically.

5x + 8 =9

We are trying to find the unknown number, so let's remove all the numbers from the left side to find x. Minus 8.

5x=1

5x is basically 5 times x, so to find x, we need to divide and from there we can remove 5.

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

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P(P then C)=(7/10)(3/12)

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3 years ago

Which of the following is not equal to sin⁡(-230°)?

xenn [34]

From trigonometry we know that:

if $sin(\theta)=sin(\alpha)$

then, $\theta=n\pi+(-1)^n\alpha$ (where $n$ is an integer)

This can be rewritten in degrees as:

$\theta=n(180^{\circ})+(-1)^n\alpha$ .............(Equation 1)

Now, in our case, $\alpha=-230^{\circ}$

Therefore, (Equation 1) can be written as:

$\theta=n(180^{\circ})+(-1)^n(-230^{\circ})$ ..........(Equation 2)

Now, to find the correct options all that we have to do is replace n by relevant integers and find the values of $\theta$ that match.

For n=2, (Equation 2) gives us: $\theta=2\times 180^{\circ}+(-1)^2(-230^{\circ})=360^{\circ}-230^{\circ}=130^{\circ}$ .

Thus, $sin(230^{\circ})=sin(130^{\circ})$

Now, we know that: $-sin(-50^{\circ})=sin(50^{\circ})$

Let n=-1, then:

$\theta=(-1)\times 180^{\circ}+(-1)^{-1}(-230^{\circ})=-180^{\circ}+230^{\circ}=50^{\circ}$

Thus, $sin(-230^{\circ})=-sin(-50^{\circ})$

Likewise, $sin(-230^{\circ})=sin(50^{\circ})$

Only the last option $sin(-50^{\circ})$ will never match $sin(-230^{\circ})$ because no integral value of $n$ will ever give $\theta=-50^{\circ}$

Thus the last option is the correct option.

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3 years ago

Read 2 more answers

one bag of pretzels cost three dollars. five bags of pretzels cost $10.which has the lower unit price

Karo-lina-s [1.5K]

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Is the following relation a function? (4,2), (1,1), (0,0), (1, -1), (4, -2). Give the domain and range.

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No it is not a function. tell me if you need explanation

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3 years ago

Beth will borrow $10,000 which earns 4% compound interest and she will repay that amount in 20 years. How much interest was earn

Serggg [28]

Answer:

$I=\$11,911.23$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the amount that she will repay

P is the amount borrowed

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=20\ years\\ P=\$10,000\\ r=0.04\\n=1$

substitute in the formula above

$A=10,000(1+\frac{0.04}{1})^{1*20}$

$A=10,000(1.04)^{20}$

$A=\$21,911.23$

Find out the interest

$I=A-P$

substitute the values

$I=\$21,911.23-\$10,000=\$11,911.23$

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3 years ago