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3 years ago

5

In another survey, Jane found that 25% of the total number of teenagers surveyed like sandwiches. If 50 teenagers like sandwiche

s, what is the total number of teenagers that Jane surveyed? Show your work.

1 answer:

Xelga [282]3 years ago

3 0

You do 0.25 x 50 = 12.5 take 12.5 away from 50 you get 37.5 so id say 38 is the answer

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To win a trivia game, Nathan must score at least 105 points. Each correct answer is worth \large 3\frac{1}{3} points, and each i

myrzilka [38]

Answer:

Nathan earned 100 points. he lost the trivia game by 5 points.

Step-by-step explanation

3 $\frac{1}{3}$ * 33 = 110 points earned

$\frac{1}{2}$ * 20 = 10 points lost

110-10 = 100

Nathan earned 100 points. he lost the trivia game by 5 points.

3 0

3 years ago

Josue leans a 26-foot ladder against a wall so that it forms an

postnew [5]

Answer:

25.61 feet

Step-by-step explanation:

First, we can draw a picture (see attached picture). With the wall representing the rightmost line, and the ground representing the bottom line, the ladder (the hypotenuse) forms a 80 degree angle with the ground and the wall and ground form a 90 degree angle.

Without solving for other angles, we know one angle and the hypotenuse, and want to find the opposite side of the angle.

One formula that encompasses this is sin(x) = opposite/hypotenuse, with x being 80 degrees and the hypotenuse being 26 feet. We thus have

sin(80°) = opposite / 26 feet

multiply both sides by 26 feet

sin(80°) * 26 feet = opposite

= 25.61 feet as the height of the wall the ladder reaches

6 0

2 years ago

Y = -2x + 8<br> y = x^2 - 9x + 18<br><br> solve the system of nonlinear equation

ryzh [129]

Substitution

-2x+8=x^2-9x+18

x^2-7x+10=0

Factoring, we get

(x-5)(x-2)=0

x=5, x=2

If x equals 5,

y=-2(5)+8=

-10+8=

-2

Therefore, we derive our first solution:

<h2><u><em>x=5,</em></u></h2><h2><u><em>y=-2</em></u></h2>

Now we solve for our second x

If x=2,

y=-4+8=

4

Therefore, we derive our second solution:

<h2><u><em>x=2</em></u></h2><h2><u><em>y=4</em></u></h2>

<u><em></em></u>

-Hunter

3 0

2 years ago

15 points: can someone help me with this thank you. (all separate equations)

OLga [1]

Step-by-step explanation:

$6x+3y=12\qquad\text{subtract}\ 6x\ \text{from both sides}\\\\6x-6x+3y=12-6x\\\\3y=12-6x\qquad\text{divide both sides by 3}\\\\\dfrac{3y}{3}=\dfrac{12}{3}-\dfrac{6y}{3}\\\\\large\boxed{y=4-2y}\\\\===================$

$2p-k=3\qquad\text{subtract}\ 2p\ \text{from both sides}\\\\2p-2p-k=3-2p\\\\-k=3-2p\qquad\text{change the signs}\\\\k=-3+2p\\\\\large\boxed{k=2p-3}\\\\===================$

$6v-2w=10\qquad\text{subtract}\ 6v\ \text{from both sides}\\\\6v-6v-2w=10\\\\-2w=10-6v\qquad\text{divide both sides by (-2)}\\\\\dfrac{-2w}{-2}=\dfrac{10}{-2}-\dfrac{6v}{-2}\\\\w=-5+3v\\\\\large\boxed{w=3v-5}\\\\===================$

5 0

3 years ago

3x-2y=-1 and 3x-2y=9 solve using elimination

luda_lava [24]

You can put them vertically
then subtract them
but if you do it, it will be 0=-10 that doesn't make sense.
So the answer is that there is no answer!

3 0

3 years ago