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mars1129 [50]
3 years ago
12

Jada can bake 12 cookies in 30 minutes. A this rate, how long will it take her to bake 144 cookies?

Mathematics
1 answer:
Elodia [21]3 years ago
3 0
6 hours

Working;
If 12 cookies take 30 minutes,
Then one cookie takes \frac{30}{12}

144 cookies would take <span>\frac{30}{12} * 144
=360 minutes or 6 hours</span>
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The table shows the price for different numbers of board games:
zlopas [31]

Answer:

We conclude that the price is 3.5 times the number of board games.

Hence, option B is true.

Step-by-step explanation:

We know that when y varies directly with x, the equation is

y ∝ x

y = kx

k = y/x

where 'k' is called the proportionality constant.

From the table,

For the point (2, 7)

k = y/x

  = 7/2

  = 3.5

For the point (4, 14)

k = y/x

   = 14 / 4

   = 7/2

    = 3.5

For the point (5, 17.50)

k  = y/x

   = 17.5 / 5

   = 3.5

For the point (9, 31.50)

k  = y/x

   = 31.50 / 9

   = 3.5

From the above calculations, we computed that the value of the proportionality constant remains the same.

Thus, the table of numbers represents a proportional relationship.

Therefore, the equation becomes

y = kx

The price of 2 board game

y = 3.5 (2)

  = 7

The price of 4 board game

y = 3.5 (4)

  = 14

Therefore, we conclude that the price is 3.5 times the number of board games.

Hence, option B is true.

6 0
2 years ago
PLEASE help me solve this problem. I really need help.
mote1985 [20]
When:
a = b = 0 we have point (0,0).
a = 0 and b ≠ 0 vertical line segment from (0, -b) to (0, b)
a ≠ 0 and b = 0 horizontal line segment from (-a, 0) to (a, 0)
a ≠ 0 and b ≠ 0 a ≠ b ellipse
a ≠ 0 and b ≠ 0 a = b circle
3 0
3 years ago
What is the domain of the given fiction please help asap
castortr0y [4]

Answer:

C

Step-by-step explanation:

sqrt x can be zero, but you can't sqrt a negative number. there is no further restrictions on sqrt x, there it goes to positive infinity.

3 0
3 years ago
Read 2 more answers
A) 9<br> B) 0<br> C) Undefined<br> D) 6
mezya [45]

Answer:

<h2>B) 0</h2>

Step-by-step explanation:

The slope of a horizontal line is equal to 0.

The slope of a vertical line is undefined.

The formula of a slope:

m=\dfrac{y_2-y_!}{x_2-x_1}

Put the coordinates of the pojnts from the graph (2, 9) and (4, 9):

d=\dfrac{9-9}{4-2}=\dfrac{0}{2}=0

8 0
3 years ago
Write an equation of the line passing through the point (-8, -4) that is perpendicular to the line given by y= 1/6 x+3.
user100 [1]

Answer:

y+4=-6(x+8)  point-slope form

y=-6x-52 slope-intercept form

6x+y=-52 standard form

Step-by-step explanation:

Slope-intercept form of a line is y=mx+b where m is the slope and b is the y-intercept.

Lines that are perpendicular have opposite reciprocal slopes.

So the slope of y=(1/6)x+3 is 1/6.

The opposite reciprocal of (1/6) is -6.

So the equation for the line we are looking for is in the form:

y=-6x+b         (Since the slope of our new line is -6)

Now we want our line to go through (-8,-4).

So plug that in:

-4=-6(-8)+b

-4=48+b

Subtract 48 on both sides:

-52=b

The equation for the line we are looking for is

y=-6x-52.

Now you could do other forms.

Another one is point-slope form.

We already know it goes through (-8,-4) and a slope of -6.

Point slope form is: y-y1=m(x-x1) where m is the slope and (x1,y1) is a point on the line.

Plug in the information to get:

y-(-4)=-6(x-(-8))

y+4=-6(x+8)

I'm going to do one more form.

Standard form is ax+by=c where a,b,c are integers.

y=-6x-52

Add 6x on both sides:

6x+y=-52

6 0
3 years ago
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