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Rudiy27
3 years ago
7

Priya has completed 9 exam questions. This is 60% of the questions on the exam. How many questions are on the exam?

Mathematics
1 answer:
USPshnik [31]3 years ago
8 0

the whole exam will be 100%, and let's say that's "x" questions, but we also know that 9 is 60% of that so

\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 9&60 \end{array}\implies \cfrac{x}{9}=\cfrac{100}{60}\implies \cfrac{x}{9}=\cfrac{5}{3}\implies 3x=45 \\\\\\ x=\cfrac{45}{3}\implies x=15

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The recipe makes enough stew for 6 people, and the ingredients cost $9.75. How much would it cost to serve 24 people?
Leno4ka [110]

If the recipe makes enough stew for 6 people, and the ingredients cost $9.75, then for 24 people it will cost $x. You can write this statement as

6 people - $9.75,

24 people - $x.

Or as proportion,

\dfrac{6}{24}=\dfrac{9.75}{x}.

Find x:

6\cdot x=9.75\cdot 24,\\ \\x=\dfrac{9.75\cdot 24}{6}=9.75\cdot 4=39.

Answer: It would cost $39 to serve 24 people

6 0
3 years ago
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What is the angle of rotation about the center that will map the regular pentagon onto itself
BlackZzzverrR [31]

Answer:

I think c 430 and if it is wrong I'm so sorry

7 0
3 years ago
Please help me!
yan [13]

Answer:

80

Step-by-step explanation:

<u><em>A = Area of First Rectangle </em></u>

<u><em>B = Area of Second Rectangle </em></u>

<u><em>w = Width</em></u>

<u></u>

12(w)=320+B (1st Equation)

8(w) = B (2nd Equation)

w=B/8 <em><u>(Plug this value of w into the first equation)</u></em>

12B/8 = 320 +B <u><em>(you get this)</em></u>

12B= 2560 + 8B <u><em>(Simplify)</em></u>

4B = 2560

B =640 <em><u>plug this value into the 2nd equation</u></em>

8(w) = 640

w = 80

<em>To Test This</em>

12x80 = 960

8x80 = 640

<h3>960 - 640 = 320 <u><em>Therefore the answer is correct the width is 80</em></u></h3>

<h3 />
5 0
3 years ago
At the north campus of a performing arts​ school, 30​% of the students are music majors. At the south​ campus, 70​% of the stude
Ivenika [448]

Answer:

The north campus had 600 students (180 music majors)

The south campus had 400 students (280 music majors)

Step-by-step explanation:

x = number of students at the north campus before the merger

If the total of students for the two school is given as 1000, so:

(1000 - x) =  number of students at the south campus before the merger.

The equation for music major is:

0,3x + 0,7(1000-x) = 0,46(1000)

0,3x + 700 - 0,7x = 460

0,3x - 0,7x = 460 - 700

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x = -240/-0,4

x = 600 -----> total number of students at the north campus

600*(0,3) = 180 music majors at the north

100 - 600 = 400 ------> total number of students at the south campus

400*(0,7) = 280------>music majors at the south

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