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Anuta_ua [19.1K]
3 years ago
5

lara and mae participated in a quiz contest. They scored 23 points in all. If lara scored 9 points, how many points did mae scor

e?
Mathematics
1 answer:
Firdavs [7]3 years ago
3 0

Answer:

23-9=14 points



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If y varies directly as x and inversely as z, and y = 32 whe x = 4 and z = 6, find y when x = 10 and z = 26
satela [25.4K]

The value of y is 18.46 when x=10 and z = 26

Step-by-step explanation:

The direct proportion is denoted as:

y∝x

And the inverse proportion will be denoted as:

y∝1/z

combining both

y∝ x/z

When the symbol of proportionality is removed, the proportionality constant is introduced

y = k\frac{x}{z}

Given

y = 32 when x=4 and z = 6

Putting the values

32 = k * \frac{4}{6}\\k = 32 * \frac{6}{4}\\k = 8*6\\k = 48

So the equation will become:

y = 48* \frac{x}{z}

Putting x=10 and z= 26

y = 48 * \frac{10}{26}\\y = \frac{480}{26}\\y = 18.4615

Hence,

The value of y is 18.46 when x=10 and z = 26

Keywords: Proportion, variation

Learn more about proportion at:

  • brainly.com/question/4054269
  • brainly.com/question/4163549

#LearnwithBrainly

7 0
3 years ago
In a doctor's office, the receptionist's annual salary is $159,000 less than that of the doctor. Together, the doctor and the re
Ann [662]

Answer:

The salary of Doctor = $193,000

The salary of Receptionist = $34,000

Step-by-step explanation:

Given as,

Together ,the Doctor salary and the Receptionist salary = $ 227,000 per year

And the salary of Receptionist = The Doctor salary -$159,000 per year

Let the salary of Doctor = x

So, the Receptionist salary = x - $159,000 per year

And x + Receptionist salary = $ 227,000 per year

       x + x - $159,000 per year = $ 227,000 per year

Or,   2x = $ 386,000 per year

Or,     x = $ \frac{386000}{2}

Or,     x = $ 193,000

And the salary of Receptionist = $193,000 - $159,000 = $34,000

Hence,  The salary of Doctor = $193,000

And,       The salary of Receptionist = $34,000

8 0
4 years ago
Q # 28 please help.Use a calculator to find the value
Dafna11 [192]
Using the calculator to find tan 27°
on the calculator there is a button with label (tan)
all we will do is to bush button in this sequence
(tan) → (2)→(7)→(=)
The answer will be 0.5095


the correct answer is option 3
7 0
3 years ago
Read 2 more answers
Hilda's personal information is shown below. According to the following table what is her hypothetical
o-na [289]

Answer:

606

Step-by-step explanation:

7 0
3 years ago
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What is number 42,42,43
Kruka [31]
Try doing the rest. I'll start the problems. All you have to do is solve. Don't forget to label!
41. 25 x 25 ÷ 3
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