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Alecsey [184]
3 years ago
15

How many possibilities for dinner

Mathematics
1 answer:
Andrei [34K]3 years ago
3 0

Answer:

THERE IS 9 COMBINATIONS

Step-by-step explanation:

  1. BEEF/SPINACH
  2. BEEF/BROCCOLI
  3. BEEF/CARROTS
  4. CHICKEN/SPINACH
  5. CHICKEN/BROCCOLI
  6. CHICKEN/CARROTS
  7. FISH/SPINACH
  8. FISH/BROCCOLI
  9. FISH/CARROTS
You might be interested in
Can someone please write this as a single logarithm and show work please and thank you
Mazyrski [523]

Answer:  

log_b(w^3y^4)

Step-by-step explanation:

To write the expression as a single logarithm, or condense it, use the properties of logarithms.  

1) The power property of logarithms states that log_ax^r = rlog_ax. In other words, the exponent within a logarithm can be brought out in front so it's multiplied by the logarithm. This means that the number in front of the logarithm can also be brought inside the logarithm as an exponent.  

So, in this case, we can move the 3 and the 4 inside the logarithms as exponents. Apply this property as seen below:

3log_bw+4log_by\\=log_bw^3+log_by^4

2) The product property of logarithms states that log_axy = log_ax+log_ay. In other words, the logarithm of a product is equal to the sum of the logarithms of its factors. So, in this case, write the expression as a single logarithm by taking the log (keep the same base) of the product of w^3 and y^4. Apply the property as seen below and find the final answer.  

log_bw^3+log_by^4\\=log_b(w^3y^4)

So, the answer is log_b(w^3y^4).

4 0
2 years ago
Sebastian measures a line to be 9.2 inches long. if the actual length of the line is 19.5 inches, then what was the percent erro
seraphim [82]

Answer:

47%

Step-by-step explanation:

9.2/19.5=0.47179

the number in the tenth place is 7 and It can´t be changed because 1 isn´t 5 or it also isn´t greater than 5.

4 0
2 years ago
You are designing a miniature golf course and need to calculate the surface area and volume of many of the objects that will be
laiz [17]
a. To solve the first part, we are going to use the formula for the surface area of a sphere: A=4 \pi r^2
where
A is the surface area of the sphere
r is the radius of the sphere
We know from our problem that r=5ft; so lets replace that value in our formula:
A=4 \pi (5ft)^2
A=314.16ft^2

To solve the second part, we are going to use the formula for the volume of a sphere: V= \frac{4}{3}  \pi r^3
Where
V is the volume of the sphere
r is the radius 
We know form our problem that r=5ft, so lets replace that in our formula:
V= \frac{4}{3}  \pi (5ft)^3
V=523.6ft^3

We can conclude that the surface area of the sphere is 314.16 square feet and its volume is 523.6 cubic feet.

b. To solve the first part, we are going to use the formula for the surface area of a square pyramid: A=a^2+2a \sqrt{ \frac{a^2}{4} +h^2}
where
A is the surface area
a is the measure of the base
h is the height of the pyramid 
We know form our problem that a=8ft and h=12ft, so lets replace those value sin our formula:
A=(8ft)^2+2(8ft) \sqrt{ \frac{(8ft)^2}{4} +(12ft)^2}
A=266.39ft^2

To solve the second part, we are going to use the formula for the volume of a square pyramid: V=a^2 \frac{h}{3}
where
V is the volume 
a is the measure of the base
h is the height of the pyramid
We know form our problem that a=8ft and h=12ft, so lets replace those value sin our formula:
V=(8ft)^2 \frac{(12ft)}{3}
V=256ft^3

We can conclude that the surface area of our pyramid is 266.39 square feet and its volume is 256 cubic feet.

c. To solve the first part, we are going to use the formula for the surface area of a circular cone: A= \pi r(r+ \sqrt{h^2+r^2}
where
A is the surface area
r is the radius of the circular base
h is the height of the cone
We know form our problem that r=5ft and h=8ft, so lets replace those values in our formula:
A= \pi (5ft)[(5ft)+ \sqrt{(8ft)^2+(5ft)^2}]
A=226.73ft^2

To solve the second part, we are going to use the formula for the volume os a circular cone: V= \pi r^2 \frac{h}{3}
where
V is the volume
r is the radius of the circular base
h is the height of the cone 
We know form our problem that r=5ft and h=8ft, so lets replace those values in our formula:
V= \pi (5ft)^2 \frac{(8ft)}{3}
V=209.44ft^3

We can conclude that the surface area of our cone is 226.73 square feet and its surface area is 209.44 cubic feet.

d. To solve the first part, we are going to use the formula for the surface area of a rectangular prism: A=2(wl+hl+hw)
where
A is the surface area
w is the width
l is the length 
h is the height
We know from our problem that w=6ft, l=10ft, and h=16ft, so lets replace those values in our formula:
A=2[(6ft)(10ft)+(16ft)(10ft)+(16ft)(6ft)]
A=632ft^2

To solve the second part, we are going to use the formula for the volume of a rectangular prism: V=whl
where
V is the volume 
w is the width
l is the length 
h is the height
We know from our problem that w=6ft, l=10ft, and h=16ft, so lets replace those values in our formula:
V=(6ft)(16ft)(10ft)
V=960ft^3

We can conclude that the surface area of our solid is 632 square feet and its volume is 960 cubic feet.

e.  Remember that a face of a polygon is a side of polygon.
    - A sphere has no faces.
    - A square pyramid has 5 faces.
    - A cone has 1 face.
    - A rectangular prism has 6 faces.
Total faces: 5 + 1 + 6 = 12 faces

<span>We can conclude that there are 12 faces in on the four geometric shapes on the holes.
</span>
f. Remember that an edge is a line segment on the boundary of the polygon.
   - A sphere has no edges.
   - A cone has no edges.
   - A rectangular pyramid has 8 edges.
   - A rectangular prism has 12 edges.
Total edges: 8 + 20 = 20 edges

Since we have 20 edges in total, we can conclude that your boss will need 20 brackets on the four shapes.

g. Remember that the vertices are the corner points of a polygon.
   - A sphere has no vertices.
   - A cone has no vertices.
   - A rectangular pyramid has 5 vertices.
   - A rectangular prism has 8 vertices.
Total vertices: 5 + 8 = 13 vertices

We can conclude that there are 0 vertices for the sphere and the cone; there are 5 vertices for the pyramid, and there are are 8 vertices for the solid (rectangular prism). We can also conclude that your boss will need 13 brackets for the vertices of the four figures.

7 0
3 years ago
3 (1 - x)=2 (-4x + 7)<br> Solve for X.
mash [69]

Answer:

x = 11/5

Step-by-step explanation:

3-3x = -8x +14

5x = 11

x= 11/5

3 0
2 years ago
Read 2 more answers
MARKING BRAINLIEST!! PLEASE HELP ME.
mr_godi [17]

Answer:

Complementary angle

Step-by-step explanation:

It adds up to 90 degrees

4 0
3 years ago
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