In a set of geometric figures the mass of 4 pyramids and 2 cubes is 40 grams and the mass of 6 pyramids and 4 cubes is 68 grams

1.x=5

2.x=-2

3.x=3

4.x=12

5.x=2

6.x=-1

7.x=4

8.x=-5

9.x=1

10.x=-8

Pls correct me on any of these if I made a mistake

300 teenagers went to the zoo.

given that

Tickets to the zoo cost $4 for children.

Tickets to the zoo cost $5 for teenagers.

Tickets to the zoo cost $6 for adults.

1200 people come to the zoo every day.

on a certian day, the total revenue at the zoo was $5300.

Let the number of adults be x.

The number of teenagers be y.

and the number of children that went to the zoo 8y/3.

Consider the question

1200 people come to the zoo every day.

x + y + 8y/3 = 1200

now, take L.C.M between y and 8y/3

[tex]x + \frac{(3y + 8y)}{3} = 1200 \\ x + \frac{11y}{3} = 1200[/tex]

now multiply with 3 to this equation.

3x + 11y = 3600 .......................(1)

tickets to the zoo cost $4 for children, $5 for teenagers and $6 for adults.

according to the question

6x + 5y + 32y/3 = 5300

Now take the L.C.M between 5y and 32y/3

6x + 47y/3 = 5300

now multiply with 3 to this equation.

18x + 47y = 15900 ...................(2)

now, multiply equation (1) with 6

18x + 66y = 21600 .....................(3)

now, subtract equation (1) in equation (2)

(18x - 18x) + (66y - 47y) = (21600 - 15900)

19y = 5700

y = 5700/19

y = 300

Hence, the 300 teenagers went to the zoo.

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Answer:

I suppose is division multiplication subtraction then addition

Step-by-step explanation:

Three variable p, q and r that is true when at most one of the three variables is true.

How do you identify a proposition?

Atmost means maximum.

We have three variables: p,q and r. Maximum one of the three variable is true. However we dont know which variable is true.

Case 1: No variable is true :  ¬p ∧¬q∧¬r

Case 2 : p variable is true:  p ∧¬q∧¬r

Case 3: q variable is true : ¬p ∧q∧¬r

Case 4 : r variable is true : ¬p ∧¬q∧r

One of the 4 cases has to be true . Thus Case1 or Case 2 or Case3 or Case 4 is true. So we need to take comjuction of the propsitions in each case.

(¬p ∧¬q∧¬r) v  (p ∧¬q∧¬r) v (¬p ∧q∧¬r) v (¬p ∧¬q∧r)

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Every week, the water level dropped by 1.375 inches on average rate.

The average rate is what?

The ratio of "change in the function values" to "change in the interval endpoints" is referred to as the average rate of change of a function f(x) over an interval [a, b]. Specifically, [f(b) - f(a)] can be used to get the average rate of change (b - a). The average rate of change, represented by the symbol A(x), is, in other words, the "ratio of change in outputs to change in inputs." A(x) = (change in outputs), for example (change in inputs)

based on the available facts;

Detailed explanation:

A lake's water level dropped by -11/2 inches throughout the course of a 12-week dry period.

Total fall of water level = -11/2 inches = -5.5 inches

Time of fall = 12/3 week = 4 weeks

Average rate at which water level changed every week=Total fall of water level/Time of fall

=-5.5/4

=-1.375per inch every week

Average rate at which the water level changed every week = -1.375 inches

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Ralf receives total amount of 38$.

Susie receives total amount of 19$.

Raff gets 2x

Suzie gets x

2x + x = 57 dollars

3x = 57 dollars

x = 19 dollars

2x = 38 dollars

Aggregation attempting to calculate the time it will take by looking at the overall number or quantity.

To sum up to a total is the definition of amount. A restaurant bill for four individuals that totals $50 is an example of the costs of four meals that come to $50.

To achieve success or importance. The words "amount to anything" or "amount to something," which both indicate the same thing, are almost always used.

Amount can be a noun or a verb, as was said above. Use of the noun: Add a little water to the dish. The quantity of food required vary each dog. It is three bucks and change, to be exact.

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Answer: 120 miles

Step-by-step explanation:

      We will set up a proportion to solve.

 Set up a proportion:

[tex]\displaystyle \frac{5\text{ inches}}{10\text{ miles}} =\frac{60\text{ inches}}{x\text{ miles}}[/tex]

 Cross-multiply:

5 * x = 60 * 10

 Multiply:

5x = 600

 Divide both sides by 5:

x = 120 miles

Answer:

b ≤ 6

This inequality matches the statement, "b is less than or equal to 6."

This is because the sign < tell us that b is going to be less 6, and the line _ tells us that the solution can also be equal to 6.

Answer:

They make 200 pieces of caramel candies a day and 500 pieces of chocolate candies a day.

Step-by-step explanation:

Since the ratio is two to five, make it 2x + 5x = 700.

7x = 700

x=100

So, for caramel candies, 2 x 100 = 200

For chocolate candies, 5 x 100 = 500

The range of the given function is {y | -7 -1 0 9}

The table of values is given as:

x -5 1 4 6

y 9 0 -7 -1

List out the y values

So, we have:

y 9 0 -7 -1

The y values represent the range

So, we have

Range = {y | 9 0 -7 -1}

Order from least to greatest

Range = {y | -7 -1 0 9}

Hence, the range of the given function is {y | -7 -1 0 9}

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The angles are 60°, 55°, and 65°.

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The construction of two congruent angles using a scale and compass can be done by applying the prerequisite knowledge of construction.

What is an angle?

A geometrical figure formed by using two rays, which are known as the sides of angle. These sides share a common vertex. Angle can be of various types including acute, obtuse, reflex,  right, etc.

Explanation of constructing an angle using a scale and compass that is both congruent

Start drawing a line with the scale

Then, using this line or edge of the given angle to construct another corner, with the same vertex, let's call it O

Mark an arc across the sides of the corner using compass

Name the points as A and B, where the arc intersects and extend that arc beyond B

Open the compass to length of AB by setting it to the point B, and then mark an arc that intersects the first arc at point C.

Forthwith, wwe have two congruent components, AB = BC.

As the distance is OA = OB = OC, therefore, ∠AOB and ∠BOC are congruent.

Hence, this is the way of constructing congruent angles using a scale and a compass.

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The equivalent expression of the expression given as: (2^2 • 3^4)^3 is (2^6 • 3^12)

The expression is given as:

(2^2 • 3^4)^3

Expand the exponents of the above expression

(2^2 • 3^4)^3 = (2^2)^3 • (3^4)^3

Evaluate the product of exponents

(2^2 • 3^4)^3 = (2^6) • (3^12)

Rewrite the above expression as:

(2^2 • 3^4)^3 = (2^6 • 3^12)

Hence, the equivalent expression of the expression given as: (2^2 • 3^4)^3 is (2^6 • 3^12)

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Answer:

The answer is A) 1 1/4, I hope it helps

Answer:

x = 5/4

answer is A

Step-by-step explanation:

Classify the number -25.

Natural, Whole, Integer, Rational, Irrational.

25 is a rational number. This number is a whole that may be expressed as the fraction 25/1.

This wouldn't be a natural number because -25 is a negative number.

Since -25 isn't a positive number, this wouldn't be a whole number.

the whole number 85 is -85, which is a negative number. -85 is consequently an integer. Negative numbers are rational numbers.

square integers are frequently irrational, -25 is a square root.

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The statement describing the graph of h(x) is "The graph of h(x) is a vertical translation of the graph of g(x) down 3 units".

In the question, are given two graphs g(x) = - (1/2)x + 6, and h(x) = g(x) - 3.

We are asked for the statement that best describes h(x).

Now, h(x) = g(x) - 3, can be seen as  the translation of g(x).

For any graph m(x), n(x) is its translation if n(x) = m(x + p) + q.

The translation is vertical is q ≠ 0, and horizontal when p ≠ 0. Also,

For, h(x) = g(x) - 3, when we compare it with n(x) = m(x + p) + q, we have p = 0, and q = -3.

Since, q ≠ 0, we have vertical translation, and since q < 0, the translation is |q| units down.

Thus, The statement describing the graph of h(x) is "The graph of h(x) is a vertical translation of the graph of g(x) down 3 units".

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The provided question is incomplete. The complete question is:

"Let g(x) = - (1/2)x + 6 and h(x) = g(x) - 3. Which statement describes the graph of h (x)?

Answers:

[-5, -2]

(-2, 3]

(3, 6]

=====================================================

Explanation:

This piecewise function is made of 3 separate functions of...

f(x) = 5 when  [tex]-5 \le \text{x} \le -2[/tex]

f(x) = 4 when [tex]-2 < \text{x} \le 3[/tex]

f(x) = -3 when [tex]3 < \text{x} \le 6[/tex]

--------

The interval [tex]-5 \le \text{x} \le -2[/tex] turns into the interval notation [-5, -2]

Use square brackets to include each endpoint. Each endpoint is included because of the closed filled in points.

In contrast, the interval [tex]-2 < \text{x} \le 3[/tex] has an open hole at -2 and so it turns into (-2, 3]

A similar situation happens with the interval [tex]3 < \text{x} \le 6[/tex] to become (3, 6]

The range of the given relation in the table is option C {-6,-3,0,3,6}

Here first column x represents the domain of the function

Domain is the set of all possible input for the function.

Second column y represents the range of the function

Range is the set of all possible output for the function.

Here the set of all possible inputs of the functions are {-5,-3,-1,1,3}

The set of all possible outcomes of the functions are {-6,-3,0,3,6}

Then the range of the relation in the table = {-6,-3,0,3,6}

Hence, the range of the given relation in the table is option C {-6,-3,0,3,6}

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Answer:

w - 13.

Step-by-step explanation:

Change in weight

= w - 3(6) + 5   where w is her original weight.

= w - 18 + 5

= w - 13.

Answer:

0

Step-by-step explanation:

[tex]3x-1=3x+1\\=3x-1-3x=3x+1-3x\\-1=1[/tex]

Due to the fact that the sides are unbalanced, the equation has no true solution.

0.0001 is a very tiny possibility that you will get caught driving slower than the posted speed limit.

Probability is a branch of mathematics that deals with the numerical representations of the likelihood that an event will occur or that a statement is true. A number between 0 and 1 is the probability of that an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

By simply dividing the actual favorable amount of possibilities by the entire number of possible outcomes, one can use the probability formula to determine the likelihood of an event.

Given,

radar speed detector is 0.56 mph.

inital speed  = 33mph

final speed  = 30mph

finding the probability that we clocked at below the speed limit.

so,

p(Z<(inital- final)/speed detector)

p(Z<(33-30)/0.56)

p(Z<5.35)

where Z = 1

p(1 -  0.9999)

= 0.0001

0.0001 is a very tiny possibility that you will get caught driving slower than the posted speed limit.

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A reliable measure is one that (A) produces a consistent result if the same thing is measured twice.

Therefore, a reliable measure is one that (A) produces a consistent result if the same thing is measured twice.

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The correct question is given below:
A reliable measure is one that:

A) produces a consistent result if the same thing is measured twice.

B) measures what it was intended to measure.

C) predicts actual behavior.

D) co-varies with the independent variable.

Yari says that the product 230×10⁴ has four zeroes. She is incorrect.

It should be noted that from the information, Yari says that the product 230×10⁴ has four zeroes.

This will be confirmed below:

= 230 × 10⁴

= 230 × 10000

= 2300000

Therefore, the product has 5 zeros. She is incorrect.

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Answer:

no answer

Perhaps: E -45

Step-by-step explanation:

(2x + 4) = 14

2x + 4 = 14

2x = 10

x = 5

This equation has only 1 solution.

There cannot be the product of the "solutions" when there is only 1 solution.

Perhaps you meant this (absolute value, not parentheses):

What is the product of the solutions to the equation?

|2x +4| = 14

A 45

B 81

C 0

D -81

E -45

|2x + 4| = 14

2x + 4 = 14 or 2x + 4 = -14

2x = 10  or  2x = -18

x = 5 or x = -9

The product of 5 and -9 = -45

Answer: E -45

Wavelength is 0.00004 cm is the weather like for a violet light a large or small value and how do you know

The frequency of the violet light is [tex]7.495\times10^{14} s^{-1}[/tex].

Given that,

Wavelength λ=0.00004cm

First, we convert cm to nm

0.00004cm =400nm

These are connected by the equation in electromagnetic radiation (light):

c = λυ

where c refers to the speed of light value is 2.998 x [tex]10^{8}[/tex] m/s, λ refers to wavelength (m) and υ refers to frequency ([tex]s^{-1}[/tex]or Hz).

Now, c = λυ

2.998 x [tex]10^{8}[/tex] m/s=400[tex]\times[/tex][tex]10^{-9}[/tex]m[tex]\times\\[/tex]υ

υ=[tex]\frac{2.998\times10^{8} m/s}{400\times10^{-9}m }[/tex]

υ= [tex]7.495\times10^{14} s^{-1}[/tex]

Therefore, The frequency of the violet light is [tex]7.495\times10^{14} s^{-1}[/tex].

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The solid that results from increasing the number of sides infinitely is; Close to a Cone

We want to describe the solid that results if the number of sides of each base increases infinitely. The bases of each solid are regular polygons inscribed in a circle.

Now, given a pyramid, when its base is a regular polygon whose number of sides increases infinitely, the base gets closer and closer to the shape of a circle, and therefore the solid will be close to a cone.

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Answer:

2c < 20

Step-by-step explanation:

$2 is the price per cookie so 2c is per every cookie, you multiply by 2 to get the price.

Ana only has $20 so the amount of money she spends has to be less then 20 so the inequality would be 2c < 20

Answer:

Can I see the diagram?

Step-by-step explanation:

The decimal 1.001510512 when written in words is;

One and one million five hundred ten thousand five hundred and twelve hundred millionths

We can write decimal in words by acknowledging the fact that one part is a whole number while the other part is a fraction. For example;

20.009 in words is; Twenty and nine thousandths

8.406 in words is; Eight and four hundred six thousandths

26.0502 in words is; Twenty-six and five hundred two ten thousandths

6.5904 in words is; Six and five thousand nine hundred four ten thousandths

63.1254 in words is; Sixty-three and one thousand two hundred fifty-four ten thousandths

Thus, we can conclude that the decimal 1.001510512 when written in words is;

One and one million, five hundred ten thousand five hundred and twelve hundred millionths

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