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2 years ago

Answer the following.

Mathematics

1 answer:

Leona [35]2 years ago

8 0

In any triangle, the sum of the angles is always 180 degrees
So 105 + 40 + x = 180
145 + x = 180
x = 180 - 145
x = 35 degrees

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Sandals and flip-flops on sale at the store! Janet purchased 3 pairs of sandals and 1 pair of flip-flops for $23.50, while Micha

Lerok [7]

Answer:

1 sandal= $7

1 flip flop =$2.5

Step-by-step explanation:

say one sandal costs x and one flip flop costs y

3 x+y=23.50

4x+2y=33

solve using simultaneous equationsto find the values of x and y

3 0

2 years ago

Simplify

guapka [62]

The first is a. you can rewrite it
$\sqrt{x^5} = \sqrt{x^2x^2x} = \sqrt{x^2}\sqrt{x^2}\sqrt{x} = xx\sqrt{x} = x^2\sqrt{x}$

the second is d. the only common factor between 20 and 40 that can be taken out is the 4 which becomes a 2, but inside the square roots there is still a 5 and 10, which cannot be combined

the third is c.
$\sqrt{36x} + \sqrt{100x} - \sqrt{25x} \\ 6\sqrt{x}+10\sqrt{x}-5\sqrt{x} \\ 11\sqrt{x}$

the fourth is d.
add 3 to both sides $\sqrt{2x} = 10$
then square both sides $2x=100$
then divide both sides by 2, x=50

3 0

2 years ago

Sandra makes a pizza she puts mushroom on 2/8 of the pizza she adds green peppers to 5/8 of the pizza which toppings covers more

Aleks [24]

Green peppers. 5/8 is bigger than 2/8's.

4 0

2 years ago

Read 2 more answers

A picture frame has a perimeter of 40 inches. Its length is 2 inches greater than one-half its width. Let w represent the width

LUCKY_DIMON [66]

L = 2 + .5W
2L + 2W = 40

SOLVING (if needed)
Substitute 2 + .5w in for l in the second equation and solve for w.
2(2 + .5w) + 2w = 40
4 + w + 2w = 40
Combine like terms and subtract 4 from both sides
3w = 36
Divide both sides by 3
w = 12 in.
l = 2 + .5w
l = 2 + .5(12)
l = 8 in.

8 0

2 years ago

Read 2 more answers

A music website charges x dollars for individual songs and y dollars for entire albums. Person A pays $25.92 to download 6 indiv

Elena-2011 [213]

Let $x$ equals to amount charged for downloading individual songs $\Rightarrow$ $y$ equals to amount charged for downloading an entire album.

Solve the system for $y$ :
$\left\{{{6x+2y = 25.92,}\atop{4x + 3y = 33.93;}}\right \left\{{{6x+2y = \frac{648}{25},}\atop{4x + 3y = \frac{3393}{100};}}\right
\\\left\{{{6x+2y-2y = \frac{648}{25}-2y,}\atop{4x + 3y = \frac{3393}{100};}}\right \left\{{{6x = \frac{648}{25}-2y,}\atop{4x + 3y = \frac{3393}{100};}}\right
\\\left\{{{x = \frac{-25y+324}{75},}\atop{4x + 3y = \frac{3393}{100};}}\right \left\{{{x = \frac{-25y+324}{75},}\atop{4\frac{-25y+324}{75} + 3y = \frac{3393}{100};}}\right$
$\left\{{{x = \frac{-25y+324}{75},}\atop{\frac{4(-25y+324)}{75} * 300 + 3y * 300 = \frac{3393}{100} * 300;}}\right \left\{{{x = \frac{-25y+324}{75},}\atop{16(-25y+324)+900y = 10179;}}\right
\\\left\{{{x = \frac{-25y+324}{75},}\atop{500y+5184 = 10179;}}\right \left\{{{x = \frac{-25y+324}{75},}\atop{500y = 4995;}}\right
\\\left\{{{x = \frac{-25y+324}{75},}\atop{y = \frac{999}{100} = 9.99;}}\right$

Solving the system for $x$ is unoptional since we already have the answer we've been looking for. Your answer is $9.99\$$ .

3 0

3 years ago