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Ket [755]
3 years ago
10

Evaluate the numerical expression 3+21-180÷9. The value of the expression is?

Mathematics
2 answers:
mr Goodwill [35]3 years ago
6 0

Answer:

The answer is number 4

Step-by-step explanation:

4x9/108+21-3

juin [17]3 years ago
3 0

Answer:

the answer is 4.

the steps are...

180÷9=20 then 3+21=24 the subtract 20 and 24 then you will get 4

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Which set of parametric equations represents the following function y=square root of x+3
Irina18 [472]
The given equation is:

y= \sqrt{x+3}

We have to find, which of the given set of parametric equations given in the options, result in the above equation:

The correct answer would be option A.

The equations in option A are:

x(t) = 5t \\ 
y(t)= \sqrt{5t+3}

From first equation we can see that 5t is equal to x. Using the value of 5th in second equation, we get the equation as:

y= \sqrt{x+3}

Therefore, the correct answer is option A
3 0
3 years ago
Terry and Callie do word processing. For a certain prospectus Callie can prepare it two hours faster than Terry can. If they wor
Dahasolnce [82]

Time taken by jerry alone is 10.1 hours

Time taken by callie alone is 8.1 hours

<u>Solution:</u>

Given:- For a certain prospectus Callie can prepare it two hours faster than Terry can

Let the time taken by Terry be "a" hours

So, the time taken by Callie will be (a-2) hours

Hence, the efficiency of Callie and Terry per hour is \frac{1}{a-2} \text { and } \frac{1}{a} \text { respectively }

If they work together they can do the entire prospectus in five hours

\text {So, } \frac{1}{a-2}+\frac{1}{a}=\frac{1}{5}

On cross-multiplication we get,

\frac{a+(a-2)}{(a-2) \times a}=\frac{1}{5}

\frac{2 a-2}{(a-2) \times a}=\frac{1}{5}

On cross multiplication ,we get

\begin{array}{l}{5 \times(2 a-2)=a \times(a-2)} \\\\ {10 a-10=a^{2}-2 a} \\\\ {a^{2}-2 a-10 a+10=0} \\\\ {a^{2}-12 a+10=0}\end{array}

<em><u>using quadratic formula:-</u></em>

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

x=\frac{12 \pm \sqrt{144-40}}{2}

\begin{array}{l}{x=\frac{12 \pm \sqrt{144-40}}{2}} \\\\ {x=\frac{12 \pm \sqrt{104}}{2}} \\\\ {x=\frac{12 \pm 2 \sqrt{26}}{2}} \\\\ {x=6 \pm \sqrt{26}=6 \pm 5.1} \\\\ {x=10.1 \text { or } x=0.9}\end{array}

If we take a = 0.9, then while calculating time taken by callie = a - 2 we will end up in negative value

Let us take a = 10.1

So time taken by jerry alone = a = 10.1 hours

Time taken by callie alone = a - 2 = 10.1 - 2 = 8.1 hours

3 0
3 years ago
Can you please help me with this
dem82 [27]

The answer is 63

Glad I could help :)

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3 years ago
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stiks02 [169]

POQ AND KLJ

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3 years ago
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16(a+b)^2-49(a-b)^2 factorize the expression​
noname [10]

The given expression is a difference of squares, so we have

16 (<em>a</em> + <em>b</em>)² - 49 (<em>a</em> - <em>b</em>)² = 4² (<em>a</em> + <em>b</em>)² - 7² (<em>a</em> - <em>b</em>)²

… = (4 (<em>a</em> + <em>b</em>))² - (7 (<em>a</em> - <em>b</em>))²

… = (4 (<em>a</em> + <em>b</em>) - 7 (<em>a</em> - <em>b</em>)) (4 (<em>a</em> + <em>b</em>) + 7 (<em>a</em> - <em>b</em>))

… = (4<em>a</em> + 4<em>b</em> - 7<em>a</em> + 7<em>b</em>) (4<em>a</em> + 4<em>b</em> + 7<em>a</em> - 7<em>b</em>)

… = (-3<em>a</em> + 11<em>b</em>) (11<em>a</em> - 3<em>b</em>)

4 0
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