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aleksklad [387]
2 years ago
11

A factory uses 3/8 of a barrel of raisins in each batch of granola bars. Yesterday, the factory used 3/4 of a barrel of raisins.

Mathematics
1 answer:
riadik2000 [5.3K]2 years ago
6 0

Answer:

2

Step-by-step explanation:

3/4= 6/8 if you need 3/8 for one batch you made two batches.

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Gavin wrote the equation p=3(s+100)/4 to represent p, the profit he makes from s sales in his lawn-mowing business. Which equati
Sindrei [870]
Given the equation p = 3(s + 100)/4 

Where,
p = profit made
s = sales 

Solving for s from the given equation

p = 3(s + 100)/4

Multiply both sides by 4
4p = 3(s + 100)
4p = 3s + 300

Subtract 300 from both sides of the equation
4p – 300 = 3s
Same as, 3s = 4p – 300

s = (4p – 300)/3 
OR, s = 4p/3 – 100 
If any of these two is in the options, it’s the right answer.
6 0
2 years ago
In an inventory of 100 sodas, 65 are
Ratling [72]

Answer:

5% I think

Step-by-step explanation:

Its mostly just a guess but I think its 5%

8 0
2 years ago
David proved the Law of Cosines with reference to ∆ABC using a different method. Arrange the steps of his proof in the correct s
AURORKA [14]

Answer: We can arrange the steps with help of below explanation.  

Step-by-step explanation:

Here ABC is a triangle,

Draw a perpendicular from BD to side AC ( construction)

where D\in AC

In the right triangle BCD, from the definition of cosine:

cos C =CD/ BC

CD= a cos C

Subtracting this from the side b, we see that

DA= b-acos C  

In the triangle BCD, from the definition of sine:

sin C =BD  / a

BD = a sin C  

In the triangle ADB, applying the Pythagorean Theorem

c^2  =BD^2 +DA^2  

Substituting for BD and DA from (2) and (3)

c^2 =(asinC)^2 +(b-acosC)^2  

⇒c^2 =a^2sin ^2C+b^2-2ab cosC+a^2 cos ^2C   ( On simplification)

⇒c^2 =a^2sin ^2C+a^2 cos ^2C+b^2-2abcos C

⇒c^2=a^2(sin^2C+cos^2C) +b^2-2abcosC

⇒c^2 = a^2+b^2-2abcosC (because,sin^2\theta+cos^2\theta =1 )


3 0
2 years ago
I NEED HELP PLS ANSWER
Yakvenalex [24]

Answer:

B. Inscribed equilateral triangle.

Step-by-step explanation:

An equilateral triangle is a type of triangle that has all sides to have the same length.

An inscribed figure or shape is one which has been constructed within the boundaries of another figure or shape.

In the given question, the markings is construction of an inscribed equilateral triangle. This procedure of the construction after completion, generate the triangle as shown in the construction attached to this answer.

4 0
2 years ago
The gas mileage for a certain vehicle can be approximated by m=−0.05x2+3.5x−49, where x is the speed of the vehicle in mph. Dete
Whitepunk [10]

Answer:

<h2>14mph</h2>

Step-by-step explanation:

Given the gas mileage for a certain vehicle modeled by the equation m=−0.05x²+3.5x−49 where x is the speed of the vehicle in mph. In order to determine the speed(s) at which the car gets 9 mpg, we will substitute the value of m = 9 into the modeled equation and calculate x as shown;

m = −0.05x²+3.5x−49

when m= 9

9 = −0.05x²+3.5x−49

−0.05x²+3.5x−49 = 9

0.05x²-3.5x+49 = -9

Multiplying through by 100

5x²+350x−4900 = 900

Dividing through by 5;

x²+70x−980 = 180

x²+70x−980 - 180 = 0

x²+70x−1160 = 0

Using the general formula to get x;

a = 1, b = 70, c = -1160

x = -70±√70²-4(1)(-1160)/2

x = -70±√4900+4640)/2

x = -70±(√4900+4640)/2

x = -70±√9540/2

x =  -70±97.7/2

x = -70+97.7/2

x = 27.7/2

x = 13.85mph

x ≈ 14 mph

Hence, the speed(s) at which the car gets 9 mpg to the nearest mph is 14mph

4 0
2 years ago
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