please help !!!! ASAP Thank you in advance :) !

Answer:

x=4

Step-by-step explanation:

[tex]-3x+29-29=17-29 < - Subtract[/tex]
[tex]-3x=-12[/tex]
[tex]\frac{-3x}{-3}=\frac{-12}{-3} < - Divide[/tex]
[tex]x=4[/tex]

The number of adult plates sold are 30.

It is given in the question that:-

Total money raised by math club = $277.50

Cost of a child plate = $2.25

Cost of an adult plate = $4.75

There are twice as many child plates sold than adult plates.

Let the number of adult plates be x.

Hence, according to the question,

Number of child plates = 2x

Using this data, we can form a linear equation,

2.25*2x + 4.75*x = 277.50

4.50x + 4.75x = 277.50

9.25x = 277.50

x = 277.50/9.25

x = 30

Hence, the number of adult plates sold are 30.

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Answer:

1/48 should be added.

Step-by-step explanation:

If you add 9/16 to -7/12 you will get -1/48. Then do -7/12 + 1/48 and it will give you 9/16.

If the volume of the cone is 96 cm^3 and the radius is 6 cm then the height of the cone is equal to 2.55 cm.

The height of the cone can be defined as the extent of the altitude of the cone. The height of a cone can be determined using its volume and radius values. The formula for the volume of a cone can be given as:

V= πr²h/3

Here, V is the volume of the cone, r is the radius of the cone and h is the height.

This equation can be rearranged to find the value of height as follows,

h=3V/πr²

Now, add the given values to the equation,

h= 3(96)/π(6²)

h= 288/π(36)

As π = 3.14

h= 288/3.14(36)

h= 288/ 113.04

h= 2.55 cm

Thus, the height of the cone is calculated to be 2.55 cm.

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The value of measure of ls is 126 degrees.

It is given in the question that the measure of two supplementary angles, ls and lt, are in the ratio of 7:3.

We have to find the value of measure of ls.

Let the measure of two supplementary angles ls and lt be 7x and 3x respectively.

We know that, the sum of measure of  two supplementary angles is 180 degrees.

Hence, according to the data given in the question, we can write,

7x + 3x = 180 degrees

10x = 180

x = 180/10

x = 18 degrees

Hence,

mls = 7x = 7*18 = 126 degrees.

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Using linear function concepts, it is found that:

a) They intersect at (0,20).

b) They intersect at (14,0).

c) They intersect at (0,3).

d) The equation is: y = -10/7x + 20.

A linear function is modeled by:

y = mx + b

In which:

The intersections are the points where they cross, hence:

Main Street goes through points (0,20) and (14,0), hence the intercept is of b = 20 and the slope is found as follows:

(0 - 20)/(14 - 0) = -10/7.

Hence the equation is:

y = -10/7x + 20.

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Answer:

 [tex]y=-2x+2[/tex]

Step-by-step explanation:

1) Determine Slope

[tex]\frac{y_2-y_1}{x_2-x1}[/tex] = [tex]\frac{-28-(-34)}{10-12}[/tex] = [tex]\frac{6}{-2}[/tex] = -3

2) Use point slope form to create equation

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-(-28)=-3(x-10)[/tex]

[tex]y+28=-2x+30[/tex]

[tex]y=-2x+2[/tex]

Answer:

  3/5 < 3/4   (The symbol you need is <.)

Step-by-step explanation:

The problem is asking you to compare the fractions 3/5 and 3/4. You need to supply a comparison symbol, one of {<, =, >}.

In general, when you are asked to compare two values, you are being asked which one is greater (or smaller). Sometimes, you are being asked for the amount by which one is greater than the other (their difference), and sometimes you are being asked for the factor by which one is greater than the other (their ratio).

You can do the arithmetic to find the appropriate difference or ratio, or you can use your number sense to identify the larger (or smaller) number.

As you know, the denominator of a fraction tells you how many pieces the pie has been divided into.

In the fraction 3/5, the 5 tells you each piece is 1/5 of the whole, that there are 5 equal pieces.

In the fraction 3/4, the 4 tells you each piece is 1/4 of the whole, that there are 4 equal pieces.

A pie divided into 5 pieces instead of 4 has smaller pieces. That is ...

  1/5 < 1/4

When there are 3 pieces of each, this relation still holds:

  3×(1/5) < 3×(1/4)   ⇒   3/5 < 3/4

__

Additional comment

Here, the numerators are the same, so we only need to compare the denominators to find the relationship. If the denominators are the same, we can compare the numerators.

If neither is the same, it is often useful to multiply one or the other or both of the fractions by some value so they will have a common numerator or denominator. The usual recommendation is to give the fractions a common denominator.

Here, the denominators can be made to be 20 in each case.

  [tex]\dfrac{3}{5}=\dfrac{3}{5}\cdot\dfrac{4}{4}=\dfrac{12}{20}\\\\\dfrac{3}{4}=\dfrac{3}{4}\cdot\dfrac{5}{5}=\dfrac{15}{20}[/tex]

The denominators are now the same, so we can compare values by comparing the numerators. 12 < 15, so 12/20 < 15/20 and 3/5 < 3/4.

The perimeter of the triangle is 40 units

From the question, we are to determine the perimeter of the given triangle

From the given diagram, we can observe that the triangle is a right triangle

The vertical length of the triangle is 15 units

and the horizontal length of the triangle is 8 units

Thus,

We can find the hypotenuse by using the Pythagorean theorem

Let the hypotenuse be h

Then,

h² = 15² + 8²

h² = 225 + 64

h² = 289

h = √289

h = 17 units

Now, for the perimeter of the triangle

The perimeter of a triangle is the sum of all its three sides

Thus,

The perimeter. P, of the triangle is

P = 15 + 8 + 17

P = 40 units

Hence, the perimeter of the triangle is 40 units

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(q ∨ (¬r ∧ ¬q)) → ¬p is the propositions and create logic sentences.

What is propositions ?

An axiom is a mathematical assertion that is predicated on a proposition, such as "3 is greater than 4," "an infinite set exists," or "7 is prime."

If you are more than  18 years old or if you are above 18 but lack identification proving your age, you are not permitted to to watch cartoon.

Prepositions -

p = You are allowed to watch cartoon.

q = your age is more  than 18 years old

r = you have age proof

(q ∨ (¬r ∧ ¬q)) → ¬p

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There is no such number that has the result is the same number written in base 7 and base 10.

Decimal and Octal numbers:

Decimal system is most familiar number system to the general public. It is base 10 which has only 10 symbols − 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

Whereas octal system is one of the number systems to represent numbers. It is base 8 which has only 8 symbols − 0, 1, 2, 3, 4, 5, 6, and 7.

Given,

When a three-digit number written in base 10 has its final digit moved to the beginning, the result is the same number written in base 7.

Here we need to find all such numbers.

Let abc be the starting number, where the catenated letters represent digits, and not factors like in the product

=> a x b x c

And each of a,b, and c can be elements of the list,

=> {1,2,3,4,5,6,7,8,9,0}

Except a≠0.

Since abc is a base-10 numeral, we can also write it as

=> 10²a + 10¹b + 10⁰c

Which can be expanded as,

=> 100a + 10b + c ----------------------(1)

Moving the last digits to the first slot makes the new number,

=> 100c + 10a + b------------------------(2)

So, here the value c≠0.

We know that, the digits in the base-10 numeral cab are identical to those of the base-7 numeral that is written as cab₇.

In the equation form it is equal to,

=> 7²c + 7¹a + 7⁰b

=> 49c + 7a + b ---------------------(3)

but since we're working in base 7 now, the digits a,b, and c cannot exceed 6.

Now, we want to solve for a, b, and c such that

By equalizing the equations 2 and 3,

=> 100c + 10a + b = 49c + 7a + b

=> 100c + 10a + b - 49c - 7a - b

=> (100 - 49)c + (10 - 7)a

=> 51c + 3a

=> 3 (17c + a)

Both a and c must be positive, but this equation has solution,

=> a = -17c

So there are no positive integers solutions, and hence no such number.

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In linear equation , 7x=30   is equivalent to 5x-x+3x=30​.

What in mathematics is a linear equation?

5x -x + 3x =30,  first you combine like terms 5x + 3x-x=30

8x-x =30

7x=30

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The number of customers waiting in line at the bank over a 24-hour period is a discrete variable type.

A variable whose value is determined by counting is referred to as a discrete variable. examples: the number of pupils in attendance. how many red marbles are in the container. when triple coins are turned, the count of heads. The number of pupils, kids, the shoe size, and so forth are some typical examples of discrete data. A statistical variable is referred to as a discrete variable if it presupposes a finite collection of data and a countable number of values. Contrarily, a continuous variable is a quantitative variable that accepts an endless quantity of data and an uncountable number of values.

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Answer:

127°

Step-by-step explanation:

The angle that's represented with x and the angle with the measure 127 are alternate exterior angles because line m and line n are parallel.

And alternate angles has equal measures so if one is 127 then so is the other.

Therefore the value of x = 127

Answer:

60>x>25

Step-by-step explanation:

After solving we get that 7 greater than 15 multiplied by 2 is indeed 37.

Follow the PEMDAS/BODMAS (Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction) sequence of operations to solve this problem:

1. Begin by performing a multiplication operation: 2 times 15 results in 30.

2. To get the answer to the multiplication, add 7: 30 + 7 = 37.

Therefore, multiplying 7 by 2 and adding 15 is equivalent to 37.

The steps are broken down as follows:

Step 1: 15 × 2 = 30

Step 2: 30 + 7 = 37

The answer is 37 since 7 is more than 15 when multiplied by 2.

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Answer:

1. 60,000

2. 80,000

3. 100,000

4. 90,000

5. 60,000

Step-by-step explanation:

Remember if the thousands digit is 5 or greater, round up, if the thousands digit is 4 or less, round down.

57342 (up) 76564 (up) 95634 (up) 85756 (up) 63526 (down)

Answer:

I believe the multiplied number would be 4.

39 × 4 = 156

The number is = 4

Step-by-step explanation:

I'm not sure what is 46 at the end of the question.

Answer:

[tex]g(x)=|x+8|-2[/tex]

Step-by-step explanation:

The vertex is at (-8, 2), so g(x)=a|x+8|+2.

Considering g(-6),

[tex]g(-6)=4=a|-6+8|+2 \\ \\ 2=2a \\ \\ a=1 \\ \\ \therefore g(x)=|x+8|-2[/tex]

Step-by-step explanation:

or,(-6)=3(3-2x)

or,(-6)=9-6x

or,-6-9=-6x

or,-15=-6x

or,-15+6=x

or,-9=x

x=-9

Answer:

3.5 un

Step-by-step explanation:

to find the new length of the square using a scale factor of 1/7 you can just multiply 24.5 by 1/7

this is basically dividing 24.5 by 7

24.5 / 7 = 3.5

that is your answer

The calculation for calculating the number of days the youngsters ate the bars for lunch is 11 = 32 - 3x.

An equation is a mathematical expression that represents the equivalence of two or more mathematical expressions.

When someone asks you to solve an equation, they typically want to determine the unknown values for which the equation is true (the equality between expressions should hold true for those values).

An equation's solutions are the values of the variables involved in the equation for which the equation holds true.

Given that Ms Jordan purchases a box of 32 granola bars every day, each of her three children consumes one granola bar for lunch, there are only 11 bars remaining.

The algorithm for calculating the number of days the youngsters ate the bars for lunch;

11 = 32 - 3x

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Step-by-step explanation:

4 consecutive odd integers means we start with x, then have x+2, x+4 and then x+6.

and then we have

-24 = x + x+2 + x+4 + x+6 = 4x + 12

4x = -36

x = -9

x+2 = -7

x+4 = -5

x+6 = -3

so, in sequence from small to large these 4 numbers are

-9, -7, -5, -3

The weighted average of the given coordinates weights is; 3

We are given that;

Coordinate of -5 has a weight of 3

Coordinate of 3 has a weight of 1

Now, we are given the formula to calculate the weighted average as;

WA = Sum of the Weighted Values/Sum of the Weights

Thus;

WA = ((-5 * 3) + (3 * 1))/(3 + 1)

WA = (-15 + 3)/4

WA = -12/4

WA = -3

We will take the absolute value which is; WA = 3

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Diameter = 24 foot, circumference = 75.36 foot, Area = 452.16 square foot

As the leash is 12 feet, and dog Rupert will form a circle in the backyard.

As the leash is of 12 feet, so it is the radius(r) of the circle.

Diameter = 2r

                = 2×12

                = 24 foot

Circumference = 2πr

                         =2×3.14×12

                         = 75.36 foot

Area of the circle = π[tex]r^{2}[/tex]

                             = 3.14×[tex]12^{2}[/tex]

                             =3.14 × 144

                             = 452.16 [tex]foot^{2}[/tex]

Therefore we get diameter = 24foot, circumference = 75.36 foot and area = 452.16 square foot.

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Answer:

he has $15 left

Step-by-step explanation:

$5 for each lawn

$5 * 7 lawns = $35

$20 on a video game

$35 - $20 = $15

Answer:

The answer is 2.72 * 10^8 sec.

Step-by-step explanation:

Distance between Earth and Sirius is 5.062 * 10^13 miles.

Time taken = Distance travelled/speed

5.062*10^13 miles/sec/1.86*10^5 miles.

=2.72 * 10^8 sec.

So this means that the time taken to travel light from Sirius to Earth is 2.72*10^8.

Answer:

fraction is any number of the form a/b where both a,b are whole numbers

rational number is which is in the form of p/q where people q are integers.mark me brainlist thank you!