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1 year ago

Plsssss

Mathematics

2 answers:

steposvetlana [31]1 year ago

8 0

<h2><u>DIRECT VARIATION</u></h2>

» Variables y and x have a proportional relationship, where y = 9 when x = 3. What is the value of x when y = 36? Enter your answer in the box.

<h3>Answer:</h3>

$\underline{ \boxed{ \orange{\bold{ 12}}}}$

— — — — — — — — — —

<h3>Steps-by-step explanation:</h3>

Since variables y and x have a proportional relationship, then the equation is in the form y=kx.

<h3>Given: y = 9 when x = 3.</h3>

First, we need to find the constant of variation (k) by substituting the given to the equation of variation.

$\tt y = kx \\ \tt \: \: \: \: 9 = k(3) \\ \tt k= \frac{9}{3} \\ \tt k= \blue{3}$

The constant of variation (k) is 3. So, find the value of x when y = 36.

$\: \: \: \: \tt y = 3x \\ \tt \: 36 = 3x\\ \tt \: \: \: \: \: x = \frac{36}{3} \\ \tt \: \: \: \: \: \: \: x= \underline{ \boxed{ \purple{ \tt{12}}}}$

Hence the unknown value (x) is 12.

bixtya [17]1 year ago

3 0

3/9 = x/36
Now cross multiply
108 = 9x
X = 12

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Find the percent error for the length of the soccer field. Round your answer to the nearest tenth.

maxonik [38]

Answer:

The percent error of the length of the soccer field is 1.4%

Step-by-step explanation:

Actual length of soccer field = 500 feet

Length shown in measuring instrument = 493 feet

We need to find the percent error of the length of the soccer field.

The formula used to find percent error of the length of the soccer field is: $Percent\:error=\frac{approximate\;value-exact\:value}{exact\:value}\times 100\%$

The exact length = 500

Approximate length = 493

Putting values and finding percent error

$Percent\:error=|\frac{approximate\;value-exact\:value}{exact\:value}|\times 100\%\\Percent\:error=|\frac{493-500}{500}|\times 100\%\\Percent\:error=|-0.014|\times 100\%\\Percent\:error=0.014\times 100\%\\Percent\:error=1.4\%$

So, the percent error of the length of the soccer field is 1.4%

8 0

2 years ago

1 + 2a + 3 + 4a + 5 + 6a + ...... + 97 + 98a + 99 + 100a = 0 What does a equal?

frez [133]

Answer:

a = -50/51

Step-by-step explanation:

1 + 2a + 3 + 4a + 5 + 6a + ...... + 97 + 98a + 99 + 100a = 0

1 + 3 + 5 + ... + 99 + 2a + 4a + ... + 98a + 100a = 0 Eq. 1

99 + 97 + 95 + ... + 1 + 98a + 96a + ... + 4a + 2a = 0 Eq. 2

Add Eq. 1 and Eq. 2

100 + 100 + ... + 100 + 102a + 102a + ... 102a = 0

50(100)/2 + 50(102a)/2 = 0

2500 + 2550a = 0

2550a = -2500

a = -2500/2550

a = -250/255

a = -50/51

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3 years ago

Express the relationship between x + 2 and -2x + 8 as a single equation

aksik [14]

Answer:

$= -2x^2 +4x+ 16$

Step-by-step explanation:

From the given equation:

$(x+ 2 ) \ and \ (-2x +8)$

As a single equation, we have:

$= (x + 2) \ \times \ ( -2x + 8) \ = 0$

open brackets

$\implies -2x^2 +8x +(-4x) + 16$

$= -2x^2 +4x+ 16$

6 0

2 years ago

PLS HELP I ONLY NEED PART B

Mashcka [7]

Answer:

X= 2y - 3

Kari makes X tryouts. She also makes 3 less than twice as many as Julie which would be X= 2y - 3

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7 0

2 years ago

Read 2 more answers

How to add a + b using 45a +90b

yulyashka [42]

Answer:

45(a + 2b)

Step-by-step explanation:

45a

step1 in order to factor an integer, we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5...) The number of times that each prime divides the original integer becomes its exponent in the final result

Prime number 3 to the power of 2 equals 9 .

Prime number 5 to the power of 1 equals 5 .

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90b

do the same as above

Prime number 2 to the power of 1 equals 2 .

Prime number 3 to the power of 2 equals 9 .

Prime number 5 to the power of 1 equals 5 .

$3x^{2} *5*2$

3 0

3 years ago