Which ordered pair is a solution to the system of inequalities?<br> y< 3x<br> y<5

Which equation represents a line that passes through (2, - 1/2) and has a slope of 4 ?

solmaris [256]

Answer:

y=4x-8.5

Step-by-step explanation:

Use point- slope form, since you are given one point and one slope.

y-y₁=m(x-x₁)

Plug coordinates and slope in.

y-(-1/2)=4(x-2)

Solve

y+1/2=4x-8

y=4x-8.5

7 0

3 years ago

Javier and his friends go out to eat. The restaurant they chose automatically adds a 15% gratuity to their food bill since they

siniylev [52]

well, we know that 213.90 includes the 15% gratuity, so if the meal price was say "x", namely that is the 100%, and we add 15% to that, then 100% + 15% = 115%, so 213.90 is really the 115%.

now, if 213.90 is the 115.%, what is "x"? the 100%.

$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 213.90&115\\ x&100 \end{array}\implies \cfrac{213.9}{x}=\cfrac{115}{100}\implies 21390=115x \\\\\\ \cfrac{21390}{115}=x\implies 186=x$

so since we know the meal without the tip is 186 bucks, the tip was then 213.90 - 186 = 27.90.

but they got extra potato wedges with butter and the waitress was wearing her best hat, they added $20 more, so the tip ended up as 27.90 + 20 = 47.90.

now, if the cost of the meal was $186 and that is the 100%, what is 47.90 off of it in percentage?

$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 186&100\\ 47.90&x \end{array}\implies \cfrac{186}{47.90}=\cfrac{100}{x}\implies 186x=4790 \\\\\\ x=\cfrac{4790}{186}\implies x\approx \stackrel{\%}{25.75}$

7 0

3 years ago

Read 2 more answers

Can y’all help me with these plz

nalin [4]

Answer:

1) 160 (less than or equal to) 42+65+x OR 53

2) 2000 (greater than or equal to) 637+x OR $1363

3) 1st piece: 5ft

2nd piece: 10ft

3rd piece: 6ft

Step-by-step explanation:

1) You must reach at least 160 blankets. Some have already been added, so just add the total to "x"

2) Your brother already spent $637 of 2000 dollars.

3 0

3 years ago

Two concentric circles are centered at point p. the sides of a 45 degree angle at p form an arc on the smaller circle that is th

Aleonysh [2.5K]

<span>Together with triangles, circles comprise most of the GMAT Geometry problems.

A circle is the set of all points on a plane at the same distance from a single point ("the center").

The boundary line of a circle is called the circumference.</span>

5 0

3 years ago

jay beats terry at table tennis 3 out of 5 games. what is the experimental probability that terry will win their next game

lozanna [386]

Answer:

The experimental probability that terry will win their next game is $\frac{2}{5}$

Step-by-step explanation:

While theoretical probability is the ratio of the number of favourable outcomes to the total number of outcomes, the experimental probability is the ratio of number of times the event is occurring to the total number of trials of the experiment.

Out of 5 games jay wins 3

Now the experimental probability that terry will win their next game

= 1 - Probability of Jay winning the game----------------------(1)

Probability of Jay winning the game = $\frac{\text{number of occurrences of the event}}{\text{total number of trials made}}$