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sineoko [7]
3 years ago
14

Donovan can type 45 words per minute. He needs to type a report that is 9 pages long. Each page has about 300 words. What is a r

easonable amount of time for Donovan to type the report?Answer options with 4 optionsA.30 minutesB.45 minutesC.60 minutesD.75 minutes
Mathematics
1 answer:
Wewaii [24]3 years ago
4 0

Answer:

60

Step-by-step explanation:

He needs to write 300*9 pages which is 2700

We know that he writes 45 pages a minute

his speed can be shown through the following equations

45x=pages typed

where x=minutes

so we set up our problem

45x=2700

we divide by 45 and get x=60

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What is the value of 9 in the number 9.173
Alecsey [184]

9.000 is the answer so 9 because 9.173 is part of a number or a unit.


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3 years ago
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An arithmetic series consists of consecutive integers that are multiples are of 4. What is the sum of the first nine terms of th
Mrac [35]

Answer:  The answer is 144.


Step-by-step explanation: Let 'a' be the first term and 'd' be the common difference of the given arithmetic progression (A.P.).

According to the given information, A.P. is {0, 4, 8, 12, 16, . . .}, i.e., a=0 and d=4.

The sum of first n terms is given by

S_n=\dfrac{n}{2}\{2a+(n-1)d\}.

So, the sum of first 9 terms is

S_9=\dfrac{9}{2}\{2\times 0+(9-1)\times4\}=\dfrac{9}{2}(8\times 4)=144.

Thus, the required sum is 144.


4 0
4 years ago
Read 2 more answers
the equation -2x^2+3=-9x is rewritten in the form of -2(x-p)^2 +q=0. What is the value of q?the equation -2x^2+3=-9x is rewritte
Novosadov [1.4K]

Value of q is \frac{105}{8} .

<u>Step-by-step explanation:</u>

We have , the equation -2x^2+3=-9x is rewritten in the form of -2(x-p)^2 +q=0 . We need to find What is the value of q . Let's find out:

Let's simplify equation -2x^2+3=-9x into -2(x-p)^2 +q=0 :

⇒ -2x^2+3=-9x

⇒ -2x^2+9x+3=0

⇒ 2x^2-9x=3

⇒ 2(x^2-\frac{9}{2}x)=3

⇒ (x^2-\frac{9}{2}x)=\frac{3}{2}

⇒ (x^2-2(1)\frac{9}{4}x)=\frac{3}{2}

⇒ (x^2-2(1)\frac{9}{4}x) + (\frac{9}{4})^2=\frac{3}{2} + (\frac{9}{4})^2

⇒ (x-\frac{9}{4})^2=\frac{3}{2} + (\frac{81}{16})

⇒ (x-\frac{9}{4})^2=\frac{24}{16} + (\frac{81}{16})

⇒ (x-\frac{9}{4})^2=\frac{105}{16}

⇒ -2(x-\frac{9}{4})^2=-2(\frac{105}{16})

⇒ -2(x-\frac{9}{4})^2=-\frac{105}{8}

⇒ -2(x-\frac{9}{4})^2+\frac{105}{8} = 0

Comparing this equation to -2(x-p)^2 +q=0 , q =\frac{105}{8} .

Therefore ,Value of q is \frac{105}{8} .

8 0
3 years ago
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C is the answer because its longer and a big number sentence
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Use divisio to find all the whole number ratios equivalent to 56:24
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56/8 = 7
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3 years ago
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