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When Abigail had one cat, she needed to serve 2 cans of cat food each day. Now that Abigail
has adopted a second cat, she needs to serve a total of 3 1/2 cans each day. How much extra
food is needed to feed the second cat?
Write your answer as a fraction or as a whole or mixed number.
cans

A triangle (Option B)

If you cut it perpendicular to its base and through its vertex, the cross-section would be shaped like an isosceles triangle. The base of the triangle will be the base of the cone. The cone would create a circle shape if the plane sliced it parallel to its base

Answer:

y = 1/3x + 1

Step-by-step explanation:

Answer:[tex]y = \frac{1}{3}x +1[/tex]

Step-by-step explanation:

I can see that one coordinate is (0,1) and another to assume is (-3,0)

With this we can make the equation

Equation format is y = mx + b

b is y-intercept, so when x is 0, y = 1, so b = 1

y = mx + 1

We can substitute (-3,0) into the equation and get 0 = -3m + 1

Solving for m gives us [tex]\frac{-1}{-3} = m[/tex]

so [tex]y = \frac{1}{3}x +1[/tex]

Answer:22

Step-by-step explanation: since f(8) so x=8

substitiuting x in 2x+6

                                      f(8)= 2x8+6=22

so f(8)=22

Hope this helps! :)

Answer:

  85.2 m²

Step-by-step explanation:

Perhaps one of the easiest ways to decompose this composite figure is to consider it as a rectangle with a triangle removed from it.

__

The vertical dimension of the missing triangle is 8-4 = 4 m. The horizontal dimension of the missing triangle is 11.4 -8.4 = 3 m. The overall rectangle, including the missing triangle, is 11.4 m wide and 8 m high.

The area of the figure is ...

  area = rectangle area - triangle area

  = (11.4 m)(8 m) -1/2(4 m)(3 m) = 91.2 m² -6 m² = 85.2 m²

The area of the shape is 85.2 square meters.

_____

Additional comment

The area of a rectangle is the product of its length and width:

  A = LW

The area of a triangle is half the product of its base and height:

  A = 1/2bh

The equivalent ratio of the given ratio of 8:2 is 4:1. Hence, the ratio of 8 to 2 is equivalent to the ratio of 4:1.

When we compare ratios, equivalent ratios are the ones that are the same. To see if two or more ratios are equivalent, they can be compared to one another.

Given information:

As we know that the equivalent ratio is defined as the ratio which is having the same proportion as the given ratio.

Now, using the division property of the ratio, We will divide the given ratio with the same number on both sides:

Hence, by dividing the given ratio by 2 we get the ratio as 4:1.

Therefore, the equivalent ratio of the given ratio of 8:2 is 4:1. Hence, the ratio of 8 to 2 is equivalent to the ratio of 4:1.

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Answer:

Not very. The closer the value of your correlation coefficient is to 0, the weaker the correlation. Here, our correlation coefficient is only 0.089 away from 0 - in other words, there's not much correlation in the number of plagiarized assignments and the score on their final exam. If you were to plot this data on a graph, it would look like a pretty sparse "blob" of dots, where with a higher correlation, we'd expect a tighter grouping around the line of best fit. See the illustration for an example of strong/weak correlation in both negative and positive directions.

The sign of our correlation coefficient is negative, which means that generally, for what weak correlation we have, the score on the final exam goes down as the number of copied assignments go up. This makes sense - the more assignments you copy, the less you tend to retain.

The set of equation that models the point of intersection of the arrow

and the target is: y = -0.002x² +0.25x + 6 and y = 0.15x.

Given parameters:

Point of intersection of the line and the parabola=(85.21,12.78)

Hence:

First set

y = -0.002 × 48.67² + 0.25 × 85.21 + 6= 12.78

Linear function y ≠ x

Third set

y = -0.002 × 85.21² + 0.25 × 85.21+ 6= 12.78

y = C·x

12.78 = 85.21·x

C=12.78/85.21

C=0.149

C=0.15 (Approximately)

Hence:

y=0.15x

Therefore the set of equation that models the point of intersection of the arrow and the target is: y = -0.002x² +0.25x + 6 and y = 0.15x.

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Answer:

What shapes?!?! I can help you if you add an image of the shapes :)

Step-by-step explanation:

Plotting the inequalities y ≤ 3x − 1 and y ≥ -x − 1 using the geogebra graphing tool, a possible solution to the system is (3, 1)

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the inequalities y ≤ 3x − 1 and y ≥ -x − 1

Plotting the inequalities y ≤ 3x − 1 and y ≥ -x − 1 using the geogebra graphing tool, a possible solution to the system is (3, 1)

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Step-by-step explanation:

[tex]2p + 2p + 2p + 60 = 360 \\ 6p = 360 - 60 \\ 6p = 300 \\ p = \frac{300}{6} \\ p = 50[/tex]

Answer:

3.1 hrs  painting together

Step-by-step explanation:

Lucia rate = 1 room/ 5 hr

Marie rate = 1 room/8hr

now combine the rates

1 room / ( 1/5 + 1/8) = 3.077 hrs

Answer: it would be y/2 if im not mistaken.

Step-by-step explanation: because with x+3/3 the 3 on the top is canceled out leaving x/3 so it would be the same with y+2/2.  I hope im right and that this helps. If not i am sorry.

Answer:

either the median is 2 inches or the mean is 3.2 inches, but i think it is median since the question asks for the center

Step-by-step explanation:

The solution of y= [tex]2x^{2} +x[/tex] given as:

x:   0      1       2       3

y:   0      3      10      21

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Given function is:

y= [tex]2x^{2} +x[/tex]

For finding the solution of above expression, take value of x and solve for y.

y= 2(0)+0

y=0

y= [tex]2(1)^{2} +1= 3[/tex]

y=[tex]2(2)^{2} +2=10[/tex]

y= [tex]2(3)^{2} +3=21[/tex]

The required table is:

x:   0      1       2       3

y:   0      3      10      21

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Answer:

A

Step-by-step explanation:

A fireball

Answer:

135

Step-by-step explanation:

All triangles =180 degrees
Angle ADC is 45
This means that angle ACD is also 45
ACD and ACB are supplementary which means they add to 180 as well
180 - 45 = 135

Answer:So I think the answer might be 88

Answer: 85 sqm

Step-by-step explanation: So 5 litres of Retail paint will cover 65sqm- one coat, and 5 litres of Trade paint will cover 85 sqm- one coat.

Answer:

1.50 x 10^11.

Step-by-step explanation:

There 11 digits after the 1 so it is:

1.50 x 10^11.

(1495  to 3 s. f. is 150)

Answer:

an integer is a whole number so adding integers is the same as adding whole numbers

The per-pound price of the mix must be: P = $2.40 per lb.

To get it, we need to take the total amount of money used in the mix, and divide it by the mass of the mixture that we get.

We will use 6lb of pinto beans, where each lb costs $2.00, so the total cost of this part is:

6*$2.00 = $12.00

We also use 4 lb of lima beans, where each pound costs $3.00, so the total cost of this part is:

4*$3.00 = $12.00

Then the total cost of the mix is $12.00 + $12.00 = $24.00

And the the mix has a total mass of 6lb + 4lb = 10lb

Then the per-pound price of the mix must be:

P = $24.00/10lb = $2.40 per lb.

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Answer:

this is a trapazoid so it is 32.5

Step-by-step explanation:

formula equals base + base / 2 x  h   = 9 + 4 / 2 x 5 = 32.5

mad skillz, good luck cheating

Narissa is right sample B is 15,000 times that of sample A

The quantity of matter that any object contains is called the mass of the body.

It is given that:-

So the mass will be given as:-

[tex]\dfrac{B}{A}=\dfrac{3.6\times 10^2}{2.4\times 10^{-2}}[/tex]

[tex]\dfrac{B}{A}=15000[/tex]

B  =  15000 B

Therefore Narissa is right sample B is 15,000 times that of sample A

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Answer:

y ≥ 1

Step-by-step explanation:

The graph of an inequality is illustrated, with a solid horizontal line passing through point (0, -1) and shading above the line.

It indicates that the line equation is:

For various x values, y=-1.

Also, because the darkened region is above the line, i.e. towards the origin, it must pass the 0-test.

As a result, the inequality is:

y≥-1

Answer:

[tex]y\geq -1[/tex]

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

breanna's oranges were $1.25

jonathon's oranges were $1.33

When two lines form vertical angles, then the angles are equal in measure. This is true.

Vertical angles are angles opposite each other where the two lines cross. When two lines meet a third line at the same angle, those lines are not parallel.

There are no parallel lines in spherical geometry. On the globe, all the lines of longitude meet the equator at the right angle.

Three lines can form two triangles. This is true as three noncollinear points determine the triangle in spherical geometry.

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Answer:

A movie costs $4.25 and a video game $5.5.

Step-by-step explanation:

Step 1: Form the equations.

Let m be the price of a movie and v the price of the video game.

First equation: One month Jessica rented 4 movies and 8 video games for a total of $61.

[tex]4m + 8v = 61[/tex]

Second equation: The next month she rented 2 movies and 3 video games for a total of $25.

[tex]2m + 3v = 25[/tex]

Step 2: Solve the system of equations.

[tex]\text{(1.) } 4m + 8v = 61\\\text{(2.) } 2m + 3v = 25[/tex]

I'm going to solve them by elimination. I'll multiply the second equation with two so I get 4m.

[tex]\text{(1.) } 4m + 8v = 61\\\text{(2.) } 4m + 6v = 50[/tex]

Now I'm going to subtract the second equation from the first.

[tex](4m + 8v) - (4m + 6v) = 61 - 50[/tex]

And solve.

[tex]8v- 6v = 61 - 50\\2v = 11\\v = \frac{11}{2}\\v = \$5.5[/tex]

Now let's insert v back in second equation to get m (nicer numbers, you can insert in first too if you want).

[tex]4m + 8v = 61\\4m + 8(5.5) = 61\\4m + 44 = 61\\4m = 61 - 44\\4m = 17\\m = \frac{17}{4}\\m = \$4.25[/tex]

Answer:

64

Step-by-step explanation:

Answer:

140 ounces of Vegetables

Step-by-step explanation:

23 ounces of carrots x 2 = 46 ounces

47 ounces of broccoli x 2 = 94 ounces

46 ounces of carrots + 94 Ounces of Broccoli = 140 Ounces of Vegetables

Answer:

140 oz of vetables

Step-by-step explanation:

23 x 2 = 46

47 x 2 = 94

46 + 94 = 140

Check the picture below.

the ratio of the sides will be the same ratio of their perimeters

[tex]\stackrel{\textit{\LARGE ratio of their}}{\stackrel{perimeters}{\cfrac{6}{15}\implies \cfrac{2}{5}}\hspace{5em}\stackrel{areas}{\cfrac{2^2}{5^2}\implies \cfrac{4}{25}}}[/tex]