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Morgarella [4.7K]
3 years ago
12

Amy is making blueberry muffins she mix 1/2 cup of water with 1 cup of Betty Crocker blueberries muffin mix. She uses 1/4 cup of

the mixtures to make each muffin.how many muffin can she make with the mixture that’s she has
Mathematics
1 answer:
evablogger [386]3 years ago
6 0

Answer:

Amy can make 6 muffins.

Step-by-step explanation:

first add the volume of the water and muffin mix together which gives you 1 1/2. After that you want to divide that by 1/4 which gives you 6.

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Mrs. Cooper has 51.2 pounds of soil. She uses 12.9 pounds of soil for her houseplants and 30.4 pounds of soil for her garden How
myrzilka [38]

Answer:

7.9

Step-by-step explanation:

She has a total of 51.2 and uses 12.9+30.4.

The equation would be 51.2-(12.9+30.4).

51.2-(12.9+30.4)

=51.2-43.3

=7.9

Have a nice day!!!!!!! :-)

<u>KA</u>

3 0
3 years ago
A man travels 20 km by car from Town P to Town Q at an average speed of x km/h. He finds that the time of the journey would be s
yuradex [85]

Answer:

x = 20.

Step-by-step explanation:

First, you should remember the relation:

Distance = Speed*Time.

First, we know that a man travels a distance of 20km at a speed of x km/h, in a time T.

We can write this as:

20km = (x km/h)*T

We know that the time is shortened by 12 minutes if the speed is increased by 5km/h

Rewriting these 12 minutes in hours (remember that 60min = 1 hour)

12 min = (12/60) hours = 0.2 hours

Then from this, he can travel the same distance of 20km in a time T minus 0.2 hours if the speed is increased by 5 km/h

We can write this as:

20km = (x + 5 km/h)*(T - 0.2 h)

Then we have a system of two equations, and we want to find the value of x:

20km = (x km/h)*T

20km = (x + 5 km/h)*(T - 0.2 h)

First, we should isolate the variable T in one of the equations, if we isolate it in the first one, we will get:

20km/(x km/h) = T

Replacing that in the other equation we get:

20km = (x + 5 km/h)*(T - 0.2 h)

20km = (x + 5 km/h)*( 20km/(x km/h) - 0.2 h)

Now we can solve this for x.

Removing the units (that we know that are correct) so the math is easier to read, we get:

20 = (x + 5)*(20/x - 0.2)

We only want to solve this for x.

20 = x*20/x - x*0.2 + 5*20/x - 5*0.2

20 = 20 - 0.2*x + 100/x - 1

subtracting 20 in both sides we get:

20 - 20 = 20 - 0.2*x + 100/x - 1 - 20

0 = -0.2*x + 100/x - 1

If we multiply both sides by x we get:

0 = -0.2*x^2 + 100 - x

-0.2*x^2 - x + 100 = 0

This is just a quadratic equation, we can solve it using the Bhaskara's equation, the solutions are:

x = \frac{-(-1) \pm \sqrt{(-1)^2 - 4*(-0.2)*100} }{2*-0.2}  = \frac{1 \pm 9 }{-0.4}

Then the two solutions are:

x = (1 + 9)/-0.4 = -25

x = (1 - 9)/-0.4 = 20

As x is used to represent a speed, the negative solution does not make sense, so we should use the positive one.

x = 20

then the average speed initially is 20 km/h

3 0
2 years ago
A herd of bison currently has 55 members. Based on the available resources,
mixer [17]

Answer:

Written out the equation would look like f(x) = 55(1.06)^x

The graph would look something like the attached picture. (It intercepts with the y-axis at 55).

5 0
3 years ago
Read 2 more answers
What is the slope please help​
Artemon [7]

Answer:

6

Step-by-step explanation:

4 0
2 years ago
Is this a linear function ?<br><img src="https://tex.z-dn.net/?f=y%20%3D%20%20-%203%20%5E%7B2%7D%20%20%2B%202" id="TexFormula1"
Slav-nsk [51]
No its not a linear function i think
8 0
3 years ago
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