Mike bought 12 1/2 pounds of dog food to feed the animals at the kennel. The dogs ate only ate 3/5 ofthe food. How many pounds of food did the dogs eat?

The rectangular prism has a greater volume than the cylinder.

The rectangular prism has a greater volume than the cylinder. This is because the rectangular prism fully occupies the space within its boundaries, while the cylinder has empty space above and below it.

The cylinder's rounded shape leaves gaps between its curved surface and the boundaries of the rectangular prism.

Therefore, the rectangular prism can hold more volume than the cylinder as it utilizes the entire space within its shape efficiently.

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The length of each side of the prism base is equal to the diameter of the cylinder. Which shape has a greater volume? Drag and drop the labels to explain your answer. cylinder rectangular prism The has the greater volume because the fits within the with extra space between the two figures.

To find the fraction of pocket money left after spending on transport and fruit, we need to subtract the amount spent from the total pocket money and express it as a fraction.

The student spends 18 out of 35 of his pocket money, which means he has (35 - 18) = 17 units of his pocket money left.

Therefore, the fraction of pocket money left can be written as 17/35.

Answer:

36 cm

Step-by-step explanation:

62 - 12 ÷ 3 + (15-7)

First, solve the parenthesis:

62-12÷ 3 + 8

Then, solve the division:

62-4+8

Add And subtract

66

Answer:76

Step-by-step explanation:

):!/

Answer:

Step-by-step explanation:

The y-value of Function A when x = - 2 is less than the y-value of Function B when x = - 2.

Answer:

b = 5

Step-by-step explanation:

All quadratic equations are formed in the format of \(a^{2}\) + bx + c = 0

Using this formula, we can re-arrange the equation to fit the given format.

\(3x^{2}\) - 2 = -5x
\(3x^{2}\) + 5x - 2 = 0

5 is plugged in for "b" in this equation, therefore b = 5.

Answer:

first find the average per day. 5/3= 1 & 2/3... 2/3 of a minute is 40 is 60/3=20 seconds. so 4 days would be the full 5 minutes plus another 1 minute and another 40 seconds.. so by day 4 it would be 6 min and 40 seconds.

The rule of the translation is

(4,-7) ---------> (4+a, -7+b)

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

\(d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ \)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

E(3, 7) and F(6, 5)

The distance between them is

\( |EF| = \sqrt{( {3 - 6})^{2} + ({7 - 5})^{2} } \\ = \sqrt{ ({ - 3})^{2} + {2}^{2} } \\ = \sqrt{9 + 4} \\ = \sqrt{13} \: \: \: \: \: \)

We have the final answer as

\( \sqrt{13} \: \: \: \: units\)

Hope this helps you

Answer:

is the ans 0.73

Step-by-step explanation:

is the ans 0.73 gram and time xa ra

The mass of the carton in grams if it were to be empty is 530 g

Two or more expressions with an Equal sign is called as Equation.

Let us find the weight of one bottle of water.

We have to  subtract the weight of the carton with 27 bottles from the weight of the carton with 24 bottles

11.53 kg - 10.33 kg = 1.20 kg

So, the weight of 3 bottles of water is 1.20 kg.

Divide 1.2 by 3 to find the weight of one bottle of water

1.20 kg / 3 = 0.4 kg

Now the weight of the empty carton

Subtract the weight of 27 bottles from the weight of the carton with 27 bottles:

11.53 kg - 27(0.4 kg) = 0.53 kg

Convert the weight of the empty carton from kilograms to grams:

0.53 kg × 1000 g/kg = 530 g

Therefore, the mass of the carton in grams if it were to be empty is 530 g

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Answer:

---------------------------------

For the equation to have infinitely many solutions, the variables and constants should cancel and should end up with 0 = 0. It means for any value of the variable the equation is true, i.e. both sides are equal.

Given equation:

If we solve it for ? we'll get:

Answer:

No, because the inequality symbol should be less than or equal to 650

Answer:

x = 2

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × breadth

given the rectangles have equal areas then equating the two areas gives

4x × 9 = 4(6x + 6) , that is

36x = 24x + 24 ( subtract 24x from both sides )

12x = 24 ( divide both sides by 12 )

x = 2

Step-by-step explanation:

ooo matrics um if you give me a second ill solve it

Step-by-step explanation:

If we can apply rigid transformations to the polygon for example, rotating the polygon, Translating the polygon, or reflecting the polygon , and we get a new image of A ppolygon, then the polygon will be congruent.

Answer:4-2x/4

Step-by-step explanation:

The equivalent value of the expression is y = ( 1/2 )x - 1

Given data ,

Let the equation be represented as A

Now , the value of A is

2x - 4y = 4

On simplifying the equation , we get

2x - 4y = 4

So , the left hand side of the equation is equated to the right hand side by the value of ( 4 )

Adding 4y on both sides , we get

2x = 4y + 4

Subtracting 4 on both sides , we get

4y = 2x - 4

Divide by 4 on both sides , we get

y = ( 2x - 4 ) / 4

On simplifying , we get

y = ( 1/2 )x - 1

Therefore , the value of y = ( 1/2 )x - 1

Hence , the expression is y = ( 1/2 )x - 1

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Answer:

Step-by-step explanation:

1.5 x 4.5 x 4.5 = 30.375

30.375  ÷ 3 = 10.125

10.125= volume of the triangle

3 x 4.5 x 4.5 = 60.75

60.75 = volume of rectangle

60.75 + 10.125 = 70.875

70.875 = total volume

Answer:

{a, e, i, o, u}

Step-by-step explanation:

Since U is the universal set of all the letters in the English alphabet = {a, b, c, ......, x, y, z}

and A is the subset containing all the consonants,

Ac which is the complement of set A must be all the letters that are not consonants.

This would be the set of all vowels

a, e, i , o, u

No distinction made between upper and lowercase letters

Given that U is the Universal set and we are to find the subset that is not the consonants then the values that we would have would be the vowels {a, e, i, o, u}

This is the term that is used to refer to the collection of different elements in the field of mathematics and statistics.

The Universal set here would be all of the alphabets

This would be

U= {a, b, c ,d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z}

The consonant is a subset of the universal set U.

This would be

A= {b, c ,d, f, g, h, j, k, l, m, n, p, q, r, s, t, v, w, x, y, z}

The we have another subset that is defined as Ac, these are the values that are not contained in the set A.

Hence the value would be {A, e, i, o, u} That is the vowels in the alphabet.

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The number of different choices of eleven questions that a student can make on an exam with sixteen questions is 4,096.

This number can be calculated by the combination formula. The combination formula is used to calculate the number of combinations of a certain size that can be made from a larger set. In this case, the larger set is sixteen questions and the smaller set is eleven questions. The combination formula, written as C (n,r) is equal to n! / (r! (n-r)!), where n is the size of the larger set and r is the size of the smaller set. Applying this formula to the problem at hand, 16! / (11! (16-11)!), yields 4,096.

There are sixteen cards, and eleven of them must be chosen, so the number of different choices for eleven questions is 4,096.

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(a) The algebraic expression, -5x - 2 + 5x + 2 is simplified as 0.

(b) The algebraic expression, 5x -2  - (5x + 2) is simplified as -4.

The given algebraic expression is simplified by adding similar terms together, as it will make the expression to be in simplest form.

The given algebraic expressions are;

-5x - 2 + 5x + 2

5x -2  - (5x + 2)

The first algebraic expression is simplified as follows;

-5x - 2 + 5x + 2

collect similar terms;

(-5x + 5x) + (-2 + 2)

= 0 + 0

= 0

The second algebraic expression is simplified as follows;

5x - 2 - (5x + 2)

= 5x - 2 - 5x - 2

collect similar terms;

= (5x - 5x) + (-2 - 2)

= 0 - 4

= - 4

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Answer:

35

Step-by-step explanation:

if 1 man is 37

and 1 man is 43

the 3rd man is 45

they add to 115

to average 40, we gotta add 35

this old mans giving u that!

Answer: 34

Step-by-step explanation:

I looked it up on google

PLATO USERS ONLY

Answer:

A set

Step-by-step explanation:

A set is a group of things that belong together.

To find the probability that Naomi selects both white balls, we need to consider the total number of possible outcomes and the number of favorable outcomes.

Total number of outcomes:

Naomi selects 2 balls without replacement, so the total number of outcomes is the number of ways she can choose 2 balls out of the total number of balls in the bag. This can be calculated using combinations:

Total outcomes = C(20, 2) = (20!)/(2!(20-2)!) = (20 * 19)/(2 * 1) = 190

Number of favorable outcomes:

Naomi needs to select 2 white balls. There are 2 white balls in the bag, so the number of favorable outcomes is the number of ways she can choose 2 white balls out of the 2 white balls in the bag:

Favorable outcomes = C(2, 2) = 1

Probability = Favorable outcomes / Total outcomes = 1/190

Therefore, the correct answer is (G) 1/190.

I could offer a credit of $66.6.

A percentage is a number or ratio expressed as a fractin of 100. It is often denoted using a percent "%" sign.

The given bill of customer =  $333.0.

Credit can be given to customer = 20%

Now,I can credit a customers account up to 20% of full amount due

For credit off to be offer,we need to find 20% of $333

⇒  20% of $333 =  20/100*333

⇒  20% of $333 =  $66.6

Hence, I could offer a credit of $66.6

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Answer:

corresponding

Step-by-step explanation:

<1 and <5 are corresponding angles because they are on the same side of the transversal and on the same side of l and m

We want to know how hepth is the hole after one work hour.

From the two first lines we can see that they dig a hole from -8.25 to -13.75, then

Δdepth = depth₂ - depth₁ = -13.75 +8.25= -5.5 feet in two hours

Then if we dive we will have the depth each hour

-5.5/2 = -2.75 depth each hour

Constant of proportionality: -2.75

We want to know how many hours correspond to reach -35.75 feet. In order to do so, we divide it by the depth they reach each hour:

-35.75/-2.75 = 13 hours

All the values of x, y and z are,

z = 12.99

y = 7.01

x = 28.3 degree

We have to given that;

In a triangle,

Two angles are, 61.7 degree and 90 degree

And, One side is, 14.76.

Now, We can formulate;

sin 61.7° = Perpendicular / Hypotenuse

sin 61.7° = z / 14.76

0.88 = z / 14.76

z = 0.88 x 14.76

z = 12.99

And, By Pythagoras theorem we get;

14.76² = z² + y²

14.76² = 12.99² + y²

217.85 = 168.74 + y²

y² = 217.85 - 168.74

y² = 49.1

y = 7.01

And, By sum of all the angles in triangle, we get;

x + 61.7 + 90 = 180

x + 151.7 = 180

x = 180 - 151.7

x = 28.3 degree

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