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4 years ago

Ate 50 hot dogs in 12 minutes at that rate how many hot dogs could he eat in 1 hr

1 answer:

3 0

Well
12 goes into 60 5 times
so 50 hot dogs in 12 minutes is equal to
50 hot dogsx5= #hot dogs eaten in 1 hour50x5=250
so 250 hot dogs can be eaten in 1 hour

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Line p and q are parallel lines. The slope of line q is -3. Determine the slope of line p

Tems11 [23]

Answer:

-3

Step-by-step explanation:

since the lines are parallel, they have the same slope because they never intersect

4 0

3 years ago

The size of a laptop monitor is usually measured along the diagonal. A rectangular monitor is 12 inches long and 7 inches tall.

Akimi4 [234]

16 inch is your answer

5 0

3 years ago

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(-1, -7), 3x + 12y = -6 find the perpendicular line

mojhsa [17]

Step-by-step explanation:

write equation in terms of x

y=(-6+3x)/12

from this equation u can see your gradient is 3/12 or 1/4

your perpendicular gradient is -1/m (m being the gradient of your main line)

so gradient of perpendicular= -4

since coordinate of main line is given, that point will also be on perpendicular.

so u have point and gradient so u can Calculate line equation

Y=MX+C

(-7)=(-4)(-1)+c

c=-11

y=-4x-11

^equation of perpendicular

5 0

3 years ago

Read 2 more answers

Anastasia has 5/6 cup of frosting. She uses 2/5 of the frosting to decorate a cake. How much frosting doesn't she use on the cak

Tems11 [23]

5/6 * 3/5= 1/2 cup

Hope it helped

6 0

3 years ago

Read 2 more answers

Can someone please help me with my Question #29 of The Quadratic Relations for me please?

lara [203]

Answer:

Calculate the first differences between the y-values:

$\sf 3 \underset{+1}{\longrightarrow} 4 \underset{+3}{\longrightarrow} 7 \underset{+5}{\longrightarrow} 12 \underset{+7}{\longrightarrow} 19$

As the first differences are not the same, we need to calculate the second differences:

$\sf 1 \underset{+2}{\longrightarrow} 3 \underset{+2}{\longrightarrow} 5 \underset{+2}{\longrightarrow} 7$

As the second differences are the same, the relationship between the variable is quadratic and will contain an $x^2$ term.

--------------------------------------------------------------------------------------------------

To determine the quadratic equation

The coefficient of $x^2$ is always half of the second difference.

As the second difference is 2, and half of 2 is 1, the coefficient of $x^2$ is 1.

The standard form of a quadratic equation is: $y=ax^2+bx+c$

(where a, b and c are constants to be found).

We have already determined that the coefficient of $x^2$ is 1.

Therefore, a = 1

From the given table, when $x=0$ , $y=12$ .

$\implies a(0)^2+b(0)+c=12$

$\implies c=12$

Finally, to find b, substitute the found values of a and c into the equation, then substitute one of the ordered pairs from the given table:

$\begin{aligned}\implies x^2+bx+12 & = y\\ \textsf{at }(1,19) \implies (1)^2+b(1)+12 & = 19\\ 1+b+12 & = 19\\b+13 & =19\\b&=6\end{aligned}$

Therefore, the quadratic equation for the given ordered pairs is:

$y=x^2+6x+12$

7 0

2 years ago