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Diano4ka-milaya [45]
3 years ago
8

If Marissa bakes 30 cookies every 15 minutes, how many cookies can Marissa make in 42 minutes?​

Mathematics
2 answers:
GalinKa [24]3 years ago
8 0

Answer: 84 cookies

Step-by-step explanation:

30 cookies = 15 minutes

? cookies = 1 minute

30 ÷ 15 = 2

2 cookies = 1 minute

? cookies = 42 minutes

2 x 42 = 84

84 cookies = 42 minutes

--> if this is right can u plz mark me brainliest.

marissa [1.9K]3 years ago
7 0

Answer:

84 cookies

Step-by-step explanation:

First, find the amount she bakes per minute. It is given that Marissa bakes 30 cookies every 15 minutes, or:

30 cookies/15 minutes = 2 cookies/minute.

Marissa bakes 2 cookies per minute. Multiply 2 with 42 minutes to find the total cookies baked in 42 minutes:

42 x 2 = 84

84 cookies is your answer.

~

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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
Maksim231197 [3]
1) To find x we are going to use the Pythagorean equation:
 x= \sqrt{a^{2}+b^{2}  }
where 
a and b are the legs of our triangle. For our picture we can infer that a=10 and b=8, so lets replace those values in our equation to find x:
x= \sqrt{10^{2}+8^{2}}
x= \sqrt{100+64}
x= \sqrt{164}
x=12.8
We can conclude that the value of x in our triangle is 12.8

2) To find y we are going to use the trigonometric function tangent. Remember that tan(y)= \frac{opposite}{adjacent}. We know that the opposite side of our angle y is 8, and its adjacent side is 10, so lets replace those values in our tangent function to find y:
tan(y)= \frac{8}{10}
tan(y)=0.8
Since we need the measure of angle y, we are going to take inverse tangent to both sides to find it:
y=arctan(0.8)
y=38.66
We can conclude that the value of y in our triangle is 38.66°

3) Finally, to find z we are going to take advantage of two facts: the sum of the interior angles of a triangle is always 180°, and  our triangle is a right one, so one of its sides is 90°. Therefore, y+z+90=180. Since we already know the value of y, lets replace it in our equation and solve for z:
38.66+z+90=180
z+128.66=180
z=51.34
We can conclude that the measure of angle z is 51.34°


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4 0
3 years ago
Read 2 more answers
Hi guys can u also help me with this, i don’t understand a single thing of it
Bess [88]
HCF=Highest Common Factor-HCF of two or more numbers is the greatest factor that divides the numbers. For example, 2 is the HCF of 4 and 6.
LCM=Least Common Multiple-LCM is the smallest positive number that is a multiple of two or more numbers.

Answers:
1) 6
2) 12
3) 5
4) 3
5) 26
6) 15
7) 88
6 0
1 year ago
What is the equation of the line that is parallel to y−5=−13(x+2) and passes through the point (6,−1)?
BartSMP [9]

Answer:

y=-13x + 78 I'm not sure what's up with those answer choices though

7 0
3 years ago
Consider the curve defined by the equation y=6x2+14x. Set up an integral that represents the length of curve from the point (−2,
torisob [31]

Answer:

32.66 units

Step-by-step explanation:

We are given that

y=6x^2+14x

Point A=(-2,-4) and point B=(1,20)

Differentiate w.r. t x

\frac{dy}{dx}=12x+14

We know that length of curve

s=\int_{a}^{b}\sqrt{1+(\frac{dy}{dx})^2}dx

We have a=-2 and b=1

Using the formula

Length of curve=s=\int_{-2}^{1}\sqrt{1+(12x+14)^2}dx

Using substitution method

Substitute t=12x+14

Differentiate w.r t. x

dt=12dx

dx=\frac{1}{12}dt

Length of curve=s=\frac{1}{12}\int_{-2}^{1}\sqrt{1+t^2}dt

We know that

\sqrt{x^2+a^2}dx=\frac{x\sqrt {x^2+a^2}}{2}+\frac{1}{2}\ln(x+\sqrt {x^2+a^2})+C

By using the formula

Length of curve=s=\frac{1}{12}[\frac{t}{2}\sqrt{1+t^2}+\frac{1}{2}ln(t+\sqrt{1+t^2})]^{1}_{-2}

Length of curve=s=\frac{1}{12}[\frac{12x+14}{2}\sqrt{1+(12x+14)^2}+\frac{1}{2}ln(12x+14+\sqrt{1+(12x+14)^2})]^{1}_{-2}

Length of curve=s=\frac{1}{12}(\frac{(12+14)\sqrt{1+(26)^2}}{2}+\frac{1}{2}ln(26+\sqrt{1+(26)^2})-\frac{12(-2)+14}{2}\sqrt{1+(-10)^2}-\frac{1}{2}ln(-10+\sqrt{1+(-10)^2})

Length of curve=s=\frac{1}{12}(13\sqrt{677}+\frac{1}{2}ln(26+\sqrt{677})+5\sqrt{101}-\frac{1}{2}ln(-10+\sqrt{101})

Length of curve=s=32.66

5 0
3 years ago
Denise has already jarred 9 liters of jam and will jar an additional 2 liters of jam every day.
Agata [3.3K]

Answer:

Step-by-step explanation:

9L/4days = 2L/1day, which is the unit rate.  

 

Over the course of 4 days: (2L/day)(4 days) = 8 Liters

6 0
2 years ago
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