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3 years ago

6

Please help.

1 answer:

Cloud [144]3 years ago

6 0

Answer:

The cups cost $3.00 and the plates cost $4.00

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Lydia is an architect. She has to design a courtyard garden inside a new hotel. On her blueprint, which is 1/24 the size of the

Nastasia [14]

Answer:

A) 744 inches

Step-by-step explanation:

24 x 31 = 744

3 0

3 years ago

What number divided by 3 equals to 13 Remainder 2?

zalisa [80]

Answer:

41

Step-by-step explanation:

$x\div3=13r2\\\\x\div3=13\frac{2}{3}\\\\x=3\times13\frac{2}{3}\\\\x=41$

7 0

3 years ago

Help please 50 points!

uranmaximum [27]

Answer:

A and B

Step-by-step explanation:

we would like to solve the following equation:

$\rm\displaystyle 5 - 2x = \sqrt{ {2x}^{2} + x - 1 } - x$

to do so isolate -x to the left hand side and change its sign:

$\rm\displaystyle 5 - 2x + x = \sqrt{ {2x}^{2} + x - 1 }$

simplify addition:

$\rm\displaystyle 5 - x = \sqrt{ {2x}^{2} + x - 1 }$

square both sides:

$\rm\displaystyle (5 - x {)}^{2} = (\sqrt{ {2x}^{2} + x - 1 } {)}^{2}$

simplify square of the right hand side:

$\rm\displaystyle (5 - x {)}^{2} = {2x}^{2} + x - 1$

use (a-b)²=a²-2ab+b² to expand the left hand side:

$\rm\displaystyle {x}^{2} - 10x + 25= {2x}^{2} + x - 1$

swap the equation:

$\rm\displaystyle {2x}^{2} + x - 1 = {x}^{2} - 10x + 25$

isolate the right hand side expression to the left hand side and change every sign:

$\rm\displaystyle {2x}^{2} + x - 1 - {x}^{2} + 10x - 25 = 0$

simplify:

$\rm\displaystyle {x}^{2} + 11x - 26= 0$

rewrite the middle term as 13x-2x:

$\rm\displaystyle {x}^{2} + 13x - 2x - 26= 0$

factor out x:

$\rm\displaystyle x({x}^{} + 13)- 2x - 26= 0$

factor out -2:

$\rm\displaystyle x({x}^{} + 13)- 2(x + 13)= 0$

group:

$\rm\displaystyle (x- 2)(x + 13)= 0$

by <em>Zero</em><em> </em><em>product</em><em> </em><em>property</em> we obtain:

$\displaystyle \begin{cases}x- 2 = 0\\ x + 13= 0 \end{cases}$

solve for x:

$\displaystyle \begin{cases}x = 2\\ x = - 13 \end{cases}$

to check for extraneous solutions we can define the domain of equation recall that a square root of a function is always greater than or equal to 0 therefore

$\rm\displaystyle 5 - x \geq0$

solve the inequality for x:

$\rm\displaystyle x \leqslant 5$

since 2 and -13 is less than 5 both solutions are valid for x hence,

$\displaystyle \begin{cases}x _{1} = 2\\ x_{2} = - 13 \end{cases}$

and we're done!

4 0

3 years ago

Read 2 more answers

You have 80 cents. What is the fraction of the dollar?

Mekhanik [1.2K]

80% or 4/5ths. Explanation: 1 dollar is 100 cents. 80/100 simplified is 4/5

8 0

3 years ago

Read 2 more answers

How do you answer this pls help 7^2+4^3÷2^5

lana66690 [7]

Assignment: $\bold{Solve \ Equation: \ 7^2 \ + \ 4^3 \ \div 2^5}$

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Answer: $\boxed{\bold{51}}$

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Explanation: $\downarrow\downarrow\downarrow$

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[ Step One ] Apply PEMDAS Order Of Operations

Note: $\bold{PEMDAS: \ Parenthesis, \ Exponents, \ Multiply, \ Divide, \ Add, \ Subtract}$

$\bold{7^2: \ 49}$

[ Step Two ] Rewrite Equation

$\bold{49+64\div \:2^5}$

[ Step Three ] Calculate Exponents

$\bold{4^3: \ 64}$

[ Step Four ] Rewrite Equation

$\bold{49+64\div \:2^5}$

[ Step Five ] Calculate Exponents

$\bold{2^5: \ 32}$

[ Step Six ] Rewrite Equation

$\bold{49+64\div \:32}$

[ Step Seven ] Divide

$\bold{64\div \:32: \ 2}$

[ Step Eight ] Rewrite Equation

$\bold{49+2}$

[ Step Nine ] Add

$\bold{51}$

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$\bold{\rightarrow Mordancy \leftarrow}$

5 0

4 years ago

Read 2 more answers