Six toy cars represent 2/5collection of toy cars. How many toy cars would represent 1 2/3 collection of toy cars?

Answer:

Q and R

Step-by-step explanation:

So lets look at the triangle.

P seems very thin, wheareas Q and R seem wider.

Normally, if given the degrees of the angles, we can subtract them from 180, which is the degrees of a full triangle, to find if two or more angles are congruent.

In this case however, we just go off of looks.

We see that angle P points strait up. This would not be the case if either Q or R where not going at the same angle, for if they were not congruent, angle P would be tilted to either the left or rihgt side.

So in the end, the best answer is Q and R.

HOpe this helps!

Answer:

A. Conjecture

B. Guess

Steps of a proof cannot be explained using A. conjecture and B. guess.

Conjectures in mathematics is a term which is given to the situation where something is guessed without any proof or basics.

This may be true, but are not proved up to this day.

Theorems are something which are already proved. This can be used in figuring out the proof of any problems.

Similarly, postulates are something which are the special cases of a certain proof. These can also be used to prove anything in mathemetics.

But guess and conjectures are not already proved statements. So these cannot be used.

Hence the options are Guess and Conjectures.

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Answer:

\(15 \times 2.205 = 33.0693 \: lb\)

Unit conversion is a way of converting some common units into another without changing their real value. The Weight of Jackson's backpack is 33.075 pounds.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

Since 1 kg is equal to 2.205 pounds. Therefore, the Weight of Jackson's backpack is,

15 kg = 2.205 × 15 kg = 33.075 pounds

Hence, the Weight of Jackson's backpack is 33.075 pounds.

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Answer:

206pages

Step-by-step explanation:

The equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.

1. Start with the given equation: 2-3cos(x) = 5+3cos(x).

2. Subtract 3cos(x) from both sides to isolate the constant term: 2-3cos(x) - 3cos(x) = 5.

3. Combine like terms: 2-6cos(x) = 5.

4. Subtract 2 from both sides: -6cos(x) = 3.

5. Divide both sides by -6: cos(x) = -1/2.

6. To find the solutions for cos(x) = -1/2 in the range of 0° to 180°, we need to determine the angles where cos(x) equals -1/2.

7. These angles are 120° and 240°, as cos(120°) = cos(240°) = -1/2.

8. However, the given equation states that 2-3cos(x) equals 5+3cos(x), which is not satisfied by cos(x) = -1/2.

9. Therefore, the equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.

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a) The parametric equations of the line are: x(t) = −2 + 3t, y(t) = 4 − 2t, z(t) = 3 + 4t and The symmetric equation of the line are: (x + 2)/3 = (y − 4)/−2 = (z − 3)/4

b) The line intersects yz-plane at (0, 8/3, 17/3)

The given points on the line are:

(x₁, y₁, z₁) = (−2, 4, 3)

(x₂, y₂, z₂) = (1, 2, 7)

The direction ratios of this line are:

⟨a, b, c⟩ = ⟨x₂ − x₁, y₂ − y₁, z₂ − z₁⟩

             = ⟨1 + 2, 2 − 4, 7 − 3⟩

             = ⟨3, −2, 4⟩

a) Parametric equations of the line:

These are given by:

x(t) = x₁ + at = −2 + 3t

y(t) = y₁ + bt = 4 − 2t

z(t) = z₁ + ct = 3 + 4t

Symmetric equation of the line:

This is given by:

              (x − x₁)/a = (y − y₁)/b = (z − z₁)/c

              (x + 2)/3 = (y − 4)/−2 = (z − 3)/4

b) When a line intersects the yz-plane, its x-coordinate is zero.

Using the parametric equations of the part (a):

                                   x = 0

                          −2 + 3t = 0

                                  3t = 2

                                    t = 2/3

Substitute this in the parametric equations corresponding to y and z as well:

                                   y = 4 −2t

                                      = 4 − 2(2/3)

                                      = 8/3

                                   z = 3 + 4t

                                      = 3 + 4(2/3)

                                      = 17/3

Hence, the required point is: (x, y, z) = (0, 8/3, 17/3)

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Answer:

Step-by-step explanation:

Your answer

Old price = 13$

New price = 12.48$

DISCOUNT price = 0.52$

Discount rate = 0.52/13 * 100= 4%

Mark it as Brainlist answer. Follow me.

Answer:

0.38

Step-by-step explanation:

divide 6 by 1.56

i hope it helps

Answer:

1. 1/2

2. 2/5

3. -1

4. 1/2

Step-by-step explanation:

slope is equal to rise/run

you take two points and count how far up and sideways

if it is down make it negative

Answer:

yes

Step-by-step explanation:

Answer:

412 (pls add the unit cuz i dont learn yd thx)

Step-by-step explanation:

13*12/2*4 + 10*10

= 312 + 100

= 412

The exponential function that models the population of tiger gar in the lake is given as follows:

\(y = 322.63(1.25)^x\)

An exponential function has the definition presented as follows:

\(y = ab^x\)

In which the parameters are given as follows:

Considering x as the number of years since 2016, the points are given as follows:

(0, 322), (1, 399), (2, 507), (3, 618), (4, 785), (5, 957).

Inserting these points into an exponential regression calculator, the equation is given as follows:

\(y = 322.63(1.25)^x\)

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Answer:  The correct answer is A

Step-by-step explanation:

If your multiplying fractions you take the first fraction 1/4 and the number 5, but you turn that into a fraction so now it's 5/1, and you multiply them together to get 5/4

1/4 x 5/1 = 5/4

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Answer:

x = 3(y - 2/3)

Step-by-step explanation:

x = 3(y - 2/3)

Distribute through the parenthesis

x = 3y - 6/3

REDUCE

x = 3y - 2

So, your answer is : x = 3(y - 2/3)

The weight of the beaker, including the weight of the water, is approximately 173.1 ounces when rounded to the nearest tenth. To find the weight of the beaker when filled with water, including the weight of the cylindrical beaker itself, we need to calculate the weight of the water and add it to the weight of the empty beaker.

First, let's find the volume of the water in the beaker. The beaker is filled to one inch from the top, which means the height of the water is 11 - 1 = 10 inches.

The volume of the water can be calculated using the formula for the volume of a cylinder: \(V = \pi r^2h\), where r is the radius and h is the height.

\(V = \pi (3^2)(10) = 90\pi\) cubic inches

Next, we need to find the weight of the water. Given that one cubic inch of water weighs 0.6 ounces, we can multiply the volume of the water by 0.6 to get the weight of the water.

Weight of water = 90π x 0.6 = 54π ounces

Finally, we need to add the weight of the empty beaker, which is 3.5 ounces, to the weight of the water.

Weight of beaker with water = 54π + 3.5 ounces

To find the approximate value, we can use the value of π as 3.14.

Weight of beaker with water ≈ 54 x 3.14 + 3.5 ≈ 169.56 + 3.5 ≈ 173.06 ounces

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Line AB is parallel to CD, for instance, as indicated by the formula AB ll CD.

How do parallel lines work?

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Answer:

Step-by-step explanation:

-15-9 = -24

I would think about it as adding 15 and 9, but just make the answer negative.

Answer:

Step-by-step explanation:

Given h(t) = t²+t+ 12 and k(t) = √t-1, we are to find k(k.h)(10)

k{h(t)} = k{ t²+t+ 12}

Since k(t)= √t-1, we will replace the variable t in the function with t²+t+ 12

k(h(t)) = √{(t²+t+ 12)-1}

k(h(t)) = √t²+t+12-1

k(h(t)) = √t²+t+11

Substituting t = 10 into the resulting function;

k(h(10)) =  √(10)²+(10)+11

k(h(10)) = √100+10+11

k(h(10)) = √121

k(h(10))= 11

hence the value of  (k compose h) (10) is 11

a meal can be chosen is 546 different ways.

Given:

As we know the formula,

→ \(Distance = \sqrt{a^2+b^2-2ab Cos \Theta}\)

By substituting the values, we get

                  \(= \sqrt{(28)^2+(22)^2-2\times 28\times 22 Cos 60^{\circ}}\)

                  \(= \sqrt{784+484-616}\)

                  \(= \sqrt{652}\)

                  \(= 25 \ miles\)

Thus the above answer is correct.

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Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

806.5 in ^2

Step-by-step explanation:

Separate into 3 figures: rectangle, trapezoid, and triangle

Rectangle:

A = 16*9

A = 144

Trapezoid:

A = ((16+31)/2)*15

A = 352.5

Triangle:

A = (31*20)/2

A = 310

TotalArea:

144+352.5+310

A = 806.5 in^2

(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.

(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.

(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:

- Servings of Campbell's Pork & Beans: 4 servings.

- Slices of "lite" rye bread: 15 slices.

By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).

Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.

(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:

- Number of slices of bread (Bread): A divided by 4.

- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).

Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.

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Answer:

100%hajsmsmwkwkkqjwjnwnw

Answer:

A

Step-by-step explanation:

Answer:

0.5 quarts of orange juice per quart of punch

Step-by-step explanation:

1.5/3=0.5

Answer:

0.5

Step-by-step explanation:

Since 1.5 quarts are required for 3 quarts you need to divide 1.5 and 3.

1.5 ÷ 3 = 0.5

Answer:

f

Step-by-step explanation:

Answer:

602 r. 2

Step-by-step explanation:

Answer:

$9

Step-by-step explanation:

$260-$170=90

90/10=9

We know that $17 * 10 = $170

c = amount of money to rent a locker.

$170 + 10c = $260

Subtract $170 from both sides.

10c = $90

Divide both sides by 10

c = $9

It cost $9 for one person to rent a locker.