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krok68 [10]
2 years ago
14

A printer prints 28 photos in 8 minutes. a. How many minutes does it take to print 21 more photos? b. Construct a double number

line diagram that represents the situation. How many minutes does it take to print 35 more photos?
Mathematics
1 answer:
Vlad [161]2 years ago
5 0
Now, "21 more photos" is 21 added to the already printed 28, so 21 more is 28+21 photos, or 49,

\bf \begin{array}{ccll}
photos&minutes\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
28&8\\
49&m
\end{array}\implies \cfrac{28}{49}=\cfrac{8}{m}\implies m=\cfrac{49\cdot 8}{28}

what about 35 more?   well, it already printed 49, and 35 more would then be 84,

\bf \begin{array}{ccll}
photos&minutes\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
28&8\\
84&m
\end{array}\implies \cfrac{28}{84}=\cfrac{8}{m}\implies m=\cfrac{84\cdot 8}{28}
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jeyben [28]
(4x3+2x+6)+(2x3-x2+2)

Final result :

6x3 - x2 + 2x + 8
Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2". 2 more similar replacement(s).

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(((4•(x3))+2x)+6)+((2x3-x2)+2)
Step 2 :

Equation at the end of step 2 :

((22x3 + 2x) + 6) + (2x3 - x2 + 2)
Step 3 :

Checking for a perfect cube :

3.1 6x3-x2+2x+8 is not a perfect cube

Trying to factor by pulling out :

3.2 Factoring: 6x3-x2+2x+8

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: 2x+8
Group 2: 6x3-x2

Pull out from each group separately :

Group 1: (x+4) • (2)
Group 2: (6x-1) • (x2)
5 0
3 years ago
Given that f(x) = x^2? + 9x + 18 and g(x) = x + 3, find (f ÷ g) (x) and express the result in standard form.​
lawyer [7]

Answer:

x + 6

Step-by-step explanation:

(f ÷ g)(x)

= \frac{x^2+9x+18}{x+3} factorise the numerator

= \frac{(x+3)(x+6)}{x+3} ← cancel the factor (x + 3) on numerator/ denominator

= x + 6

5 0
2 years ago
Which expression is equivalent to 7- 3x +2?​
Colt1911 [192]

Answer: 9-3x

Step-by-step explanation:

You add like terms

don't look at the 3x for now

positive 7 + positive 2 = 9

there is a negative sign next to 3x

9 goes first so

9 - 3x

8 0
3 years ago
Mr. I does a job in x hours while Mr. L can do it in y hours. How much of the job could they do together if they were to work fo
dimulka [17.4K]

Answer: Work done by both of them in k hours is

\frac{k(x+y)}{xy}

Explanation:

Since we have given that

Number of hours Mr. I does a job = x hours

Number of hours Mr. L does a job = y hours

Work done by Mr. I is given by

\frac{1}{x}

Work done by Mr. L is given by

\frac{1}{y}

Work done if they do together is given by

\frac{1}{x}+\frac{1}{y}\\\\=\frac{x+y}{xy}

Work done if they work together for k hours is given by

\frac{x+y}{xy}\times k\\\\=\frac{k(x+y)}{xy}

Hence, work done by both of them in k hours is

\frac{k(x+y)}{xy}

3 0
3 years ago
Find the value of x in each quadrilateral.
elena-14-01-66 [18.8K]

If i am correct, these values should add to 360, so I do it by

140 + 110 + 62 = 312

360 - 312 = 48

So the value of the last side must equal 48.

Your answer would be x = -9. Proof:

If 9 is filled in, you would have

(3 - 5(-9))

(3 - (-45))

48

Then

48 + 140 + 110 + 62 = 360!

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

4 0
3 years ago
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