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3 years ago

12

Olsons sub shop offers 8 vegetables toppings , 6 meat toppings, and three bread choices. How many different sandwiches can you o

rder with one meat topping and one vegetable topping?

1 answer:

kap26 [50]3 years ago

5 0

I THINK you just multiply them all together
8*6*3 = 144

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On a sunny afternoon, a 10-meter tall billboard casts a shadow that is 6 meters long. At the same time a nearby building casts a

Liono4ka [1.6K]

1) 10/6 = H/ 4 or 5/3 = H/2 or H = 10/3 = 3.3 m

<span>2) sin P = 3/5 (given) = sin (90-Q) = cos Q = 3/5</span>

5 0

3 years ago

PLEASE HELP THANK YOU

finlep [7]

Answer:

-4 <n <= 5

Step-by-step explanation:

Open at -4 and closed at 5 on number line so the inequality should be

-4 <n <= 5

3 0

3 years ago

Find the number b such that the line y = b divides the region bounded by the curves y = 36x2 and y = 25 into two regions with eq

Gemiola [76]

Answer:

b = 15.75

Step-by-step explanation:

Lets find the interception points of the curves

36 x² = 25

x² = 25/36 = 0.69444

|x| = √(25/36) = 5/6

thus the interception points are 5/6 and -5/6. By evaluating in 0, we can conclude that the curve y=25 is above the other curve and b should be between 0 and 25 (note that 0 is the smallest value of 36 x²).

The area of the bounded region is given by the integral

$\int\limits^{5/6}_{-5/6} {(25-36 \, x^2)} \, dx = (25x - 12 \, x^3)\, |_{x=-5/6}^{x=5/6} = 25*5/6 - 12*(5/6)^3 - (25*(-5/6) - 12*(-5/6)^3) = 250/9$

The whole region has an area of 250/9. We need b such as the area of the region below the curve y =b and above y=36x^2 is 125/9. The region would be bounded by the points z and -z, for certain z (this is for the symmetry). Also for the symmetry, this region can be splitted into 2 regions with equal area: between -z and 0, and between 0 and z. The area between 0 and z should be 125/18. Note that 36 z² = b, then z = √b/6.

$125/18 = \int\limits^{\sqrt{b}/6}_0 {(b - 36 \, x^2)} \, dx = (bx - 12 \, x^3)\, |_{x = 0}^{x=\sqrt{b}/6} = b^{1.5}/6 - b^{1.5}/18 = b^{1.5}/9$

125/18 = b^{1.5}/9

b = (62.5²)^{1/3} = 15.75

8 0

4 years ago

Simplify the following fractions by putting them in lowest terms or by performing the indicated operations.

AleksAgata [21]

The answer is 9(3+x)
My work is in the attached image

3 0

3 years ago

At the malt shop a large chocolate shake takes 8/9 of a pint of milk.If the medium shake takes 1/7 the amount of the large how m

omeli [17]

There are several information's of immense importance in the problem. Based on these information's the answer to the question can be easily reached. The only thing that has to be kept in mind is the calculation part, otherwise it is a simple problem.
Now it is given that:
A large chocolate shake takes 8/9 of a pint of milk.
Then
Amount of milk required to make medium shake = (8/9) * (1/7) of a pint
= 8/63 of a pint
Then it can be said that for making a medium chocolate shake , 8/63 of a pint of milk is required. This is the simplest form of the fraction and it cannot be expressed as a mixed number since the denominator is higher than the numerator.

8 0

4 years ago