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3 years ago

Hey can anyone please help me with these t questions asap?

Mathematics

2 answers:

Leno4ka [110]3 years ago

8 0

Answer:

21. 27 22. 6

Step-by-step explanation:

21 is 27 because 9 times a dozen (12) times equals 108. !08 splited by 4 is 27.

For 22 112-70 is 42. There are 7 seats per row so 42/7= is 6 empty rows.

rosijanka [135]3 years ago

4 0

Answer:

21) 27

22) 2 (the third one has a few people in it)

Step-by-step explanation:

9 dozen= 12 to a dozen

108

=27

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Use properties to rewrite the given equation. Which equations have the same solution as 3/5x +2/3 + x = 1/2– 1/5x? Check all tha

vodomira [7]

we have

$\frac{3}{5}x+ \frac{2}{3}+x=\frac{1}{2}-\frac{1}{5}x$

Combine like terms in both sides

$(\frac{3}{5}x+ x)+\frac{2}{3}=\frac{1}{2}-\frac{1}{5}x$

we know that

$(\frac{3}{5}x+ x)=(\frac{3}{5}x+ \frac{5}{5}x)=\frac{8}{5}x$

substitute in the expression above

$\frac{8}{5}x+\frac{2}{3}=\frac{1}{2}-\frac{1}{5}x$ -----> equation A

Multiply equation A by $5*3*2=30$ both sides

$30*(\frac{8}{5}x+\frac{2}{3})=30*(\frac{1}{2}-\frac{1}{5}x)$

$48x+20=15-6x$ ---------> equation B

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$48x+6x=15-20$

$54x=-5$ ---------> equation C

Solve for x

$x=-\frac{5}{54} =-0.09$

We are going to proceed to verify each case to determine the solution.

Case a) $\frac{8}{5}x+\frac{2}{3}=\frac{1}{2}-\frac{1}{5}x$

the case a) is equal to the equation A

the case a) have the same solution that the given equation

Case b) $18x+20+30x=15-6x$

Combine like terms in left side

$(18x+30x)+20=15-6x$

$(48x)+20=15-6x$

the case b) is equal to the equation B

the case b) have the same solution that the given equation

Case c) $18x+20+x=15-6x$

Combine like terms in left side

$(18x+x)+20=15-6x$

$(19x)+20=15-6x$

$19x+6x=15-20\\25x=-5\\x=-0.20$

$-0.20\neq -0.09$

therefore

the case c) not have the same solution that the given equation

Case d) $24x+30x=-5$

Combine like terms in left side

$54x=-5$

the case d) is equal to the equation C

the case d) have the same solution that the given equation

Case e) $12x+30x=-5$

Combine like terms in left side

$42x=-5$

$x=-5/42=-0.12$

$-0.12\neq -0.09$

therefore

the case e) not have the same solution that the given equation

therefore

the answer is

case a) $\frac{8}{5}x+\frac{2}{3}=\frac{1}{2}-\frac{1}{5}x$

case b) $18x+20+30x=15-6x$

case d) $24x+30x=-5$

7 0

4 years ago

Read 2 more answers

Marshall walks a total of 0.9 kilometres to and from school each day. After 4 days, how many kilometres will he have walked?

mezya [45]

Answer:

3.6 km

Step-by-step explanation:

total distance covered = distance covered x time taken

5 0

3 years ago

Read 2 more answers

In a direct proportion y=ox the number k is called the constant of _______

gulaghasi [49]

Answer:

proportionality.

Step-by-step explanation:

Constant of Porportianality.

4 0

3 years ago

I need to use Multi-Step function inverse to find the following:

dexar [7]

Answer:

$f^{-1}(x) = \sqrt[5]{\frac{x+7}{9} -10}$

Explanation:

given : f(x) = 9( $x^5$ + 10 ) - 7

replace x and y with each other.

x = 9( $y^5$ + 10 ) - 7

solve for y

x + 7 = 9( $y^5$ + 10 )

( $y^5$ + 10 ) = $\frac{x + 7}{9}$
$y^5$ + 10 = $\frac{x + 7}{9}$

$y^5$ = $\frac{x + 7}{9}$ - 10

y = $\sqrt[5]{\frac{x+7}{9} -10}$

Therefore,

$f^{-1}(x) = \sqrt[5]{\frac{x+7}{9} -10}$

5 0

2 years ago

Find the missing side. Round your answer to the nearest tenth.

jasenka [17]

Answer:

11.8 units

Step-by-step explanation:

$\frac{x}{29}$ = sin 24°

x = 29 sin 24° ≈ 11.8 units

8 0

3 years ago