which integer is 3 less than 7

The inequality expression is 17 + 6x >= 59

We can represent the inequality using the variables x for the number of minutes Lashonda adds water to the tank and y for the total amount of water in the tank.

The inequality will be:

y >= 59

Where y is the total amount of water in the tank after adding x minutes of water

We know that the initial amount of water in the tank is 17 liters and she plans to add 6 liters per minute

y = 17 + 6x

We can substitute this expression of y in the inequality y >= 59:

17 + 6x >= 59

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Complete question

Represent as an inequality. Lashonda's fish tank has 17 liters of water in it. She plans to add 6 liters per minute until the tank has at least 59 liters.

Furthermore, it is evident that 'every day corresponds to a distinct quantity of cans'. As a result, alternatives B and C are accurate.

A function is defined as a relationship between a group of inputs that each have one output. A function is a connection between inputs in which each input is associated to exactly one output.

Here,

We presume Thomas only invited one buddy to participate.

The pattern for days and cans can be seen as follows:

Thomas has two cans on the first day, i.e. cans.

Thomas has four cans on the second day, i.e. cans.

Thomas has 8 cans on the third day, i.e. cans.

Thomas has 16 cans on the fourth day, i.e. cans.

This trend continues until day ten.

So, on x day, Thomas has cans, and x varies from 1 to 10.

As a result, the relevant function is.

This means that for each day (x), there is a distinct value for the number of cans:

The 'Vertical Line Test,' on the other hand, is a test in which we draw a vertical line through the graph and if it cuts the graph at exactly one place, then the graphed curve is a function.

As shown in the graph below, the vertical line intersects f(x) at precisely one location. As a result, f(x) is a function.

As a result, the sequence graph passes the vertical line test.

Furthermore, it is evident that 'every day corresponds to a distinct quantity of cans'. As a result, alternatives B and C are accurate.

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Answer:

4 units right, 2 units up

Step-by-step explanation:

For [tex]g(x)=(x-4)^2+2[/tex], the graph of [tex]f(x)=x^2[/tex] would need to move 4 units to the right and 2 units up. Hence, the vertex would be [tex](4,2)[/tex] if we compare the function g(x) with the form [tex]y=a(x-h)^2+k[/tex].

Relation between these given lines are given as follows:

Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. Perpendicular lines are lines that intersect at a right (90 degrees) angle.

Given a graph, there are a few lines in the graph we need to find the relation between them.

Since there is no mathematical data we need to observe the lines as per the graph

Since we already know about parallel and perpendicular.

So, Horizontal and verticle lines are:

A vertical line is a line, parallel to the y-axis and goes straight, up and down, in a coordinate plane. Whereas the horizontal line is parallel to the x-axis and goes straight, left, and right.

Therefore, Relation between these given lines are given as follows:

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The pair of corresponding angles in the diagram will be 1 and 5.

When two parallel lines are intersected by another line, corresponding angles are the angles that are created in matching corners or corresponding corners with the transversal (i.e. the transversal).

The angles created when a transversal intersects two parallel lines are known as corresponding angles. The sides in any two-dimensional shape that are in the same position are said to be corresponding sides. Any two polygons must be precisely the same size and shape in order for them to be considered congruent. As a result, each of their interior angles and corresponding sides must have the same measurement.

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The distance in miles he biked up to the point of both stops is 10 1/2 miles

From the question, we have the following parameters that can be used in our computation:

Total distance = 24 3/4 miles

When he stops a third of the way, we have the expression to be (24 3/4)/3

So, we have the following equation

Required distance = 24 3/4 - ((24 3/4)/3 + 5 3/3)

Evaluate

Required distance = 10 1/2

Hence, the distance is 10 1/2 miles

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Answer:

Interest = Principal x Rate x Time
($2,840)

Step-by-step explanation:

interest earned on a deposit of $800 at 3.5% interest for 7 years, you can formula: Interest = Principal x Rate x Time

In this case, the interest earned would be:

Interest = $800 x 0.035 x 7 = $2,040

So, after 7 years the deposit would be worth $800 + $2,040 = $2,840.

Answer:

130 feet

Step-by-step explanation:

45 feet is one of the lengths of the rectangular garden and 20 feet is the other.

The perimeter of a rectangle is 2(l+w) and we know that these must be the lengths and widths.

Communitive property of addition states that it doesn't matter the order that we add so we know it's just 20+45 (65) then times 2 which is 130

130 feet is your answer.

From the congruency of triangles we can prove,

A: D is the midpoint of AC,

B: Measure of ∠D = ∠E,

C: BD bisect the angle ABC.

Triangle congruence: If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance.

Given BD bisect ∠ABC

AB ≅ CB

from the figure, AB = CB

since BD bisects ∠ABC

∠1 = ∠2

and BD = BD (common side)

from SAS property,

ΔABD ≅ ΔCBD

Triangles can be shown to be congruent after which the final dimension can be anticipated without actually measuring the triangle's sides and angles.

from CPCT, AD = CD

since AD = CD so D should be the midpoint of AC.

B: Given B is the midpoint of AC,

AB = CB

and BD ║ AE,

so ∠1 and ∠2 are equal due to corresponding angles between parallel lines,

∠1 = ∠2

BD = AE

ΔABE ≅ ΔCBD

from CPCT, ∠D = ∠E

C: Given ∠A and ∠C are right angles,

∠A = ∠C = 90°

AD = CD

BD = BD (common side and hypotenuse of a right triangle)

from RHS property ΔABD ≅ ΔCBD

from CPCT, ∠ABD = ∠CBD

since both angles are equal so BD is the angle bisector.

Hence all the statements are proved by the congruency of triangles.

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The expression that shows how many baseballs Joel hit in all is y = b + 15.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that Joel hit (b) baseballs at practice and another 15 baseballs at the batting cage.

We can write the expression that shows how many baseballs Joel hit in all is given by -

y = b + 15

Therefore, the expression that shows how many baseballs Joel hit in all is y = b + 15.

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Using hour and minutes conversion, Pam spent 7380 seconds on the puzzle.

We can convert an hour into minutes by multiplying it by 60 since an hour is made up of 60 minutes. Therefore, if one wants to translate three hours into minutes, they can do it by multiplying three by sixty, which gives them three times sixty or 180 minutes.

On Saturday, Pam spent 1 hour and 15 minutes working on a puzzle.

On Sunday, she spent 48 minutes on the puzzle.

1 hour = 60 minutes

1 minute = 60 second

1 hour = 60 × 60 seconds

1 hour and 15 minutes = 60 × 60 seconds + 15 × 60 seconds

⇒ 3600 + 900 seconds

⇒ 4500 seconds

48 minutes = 48 × 60 = 2880 seconds

Total seconds spent = 4500 + 2800 = 7380 seconds

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The length of the line segment JN in the triangle JLQ, found by making applying the Pythagorean Theorem is about 6.7 units long

The Pythagorean Theorem states that the square of the length of the hypotenuse side is equal to the sum of the squares of the legs of the a right triangle.

The specified information are;

MN = 5.6, MQ = 8.7

Part of the question includes;

The circumcenter of triangle JLQ = M

The circumcenter of a triangle is the point of intersection of the perpendicular bisectors of the sides of the triangle, therefore;

The line segment MN is the perpendicular bisector of the side JQ

The point N is the point the segment MN intersects the side JQ, therefore, N is the midpoint of JQ

NQ = JN by the definition of midpoint of the bisected side JQ

Triangle MNQ is a right triangle, with MQ = 8.7, as the hypotenuse side, and MN and NQ are the legs.

MN = 5.6, therefore, according to the Pythagorean Theorem, we get;

NQ = √(8.7² - 5.6²) ≈ 6.7

JN = NQ ≈ 6.7

The approximate length of the side JN is about 6.7 units long

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The number of mini cherry pie and mini peach pie that she sold each would be = 12

The price for each cherry pie = $4

The price for each peach pie = $3

The total price for the whole pies sold = $84

The quantity of each pie sold. is calculated as thus;

= 4+3 = 7

For cherry pie;

= 4/7 × 84

= 336/7

= $48

The number of cherry pie sold = 48/4 = 12

For peach pie;

= 3/7× 84

= 252/7

= $36

The number of peach pie sold = 36/3 = 12

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Answer:

y = -1/2x

Step-by-step explanation:

The equation is y = mx + b

m = the slope

b = y-intercept

The slope = rise/run

Let's pick 2 points (0,0) (4, -2), we see that the y decrease by 2 and the x increase by 4, so the slope is

m = -2/4 = -1/2

Y-intercept is located at (0,0)

So, our equation is

y = -1/2x

Answer:

the minimum temperature was furthest from the norm. it was 23.5 degrees further

Step-by-step explanation:

difference between the max and median = 115-98.6 = 16.4

difference between the median and minimum = 98.6 - 58.7 = 39.9

the difference between the median and minimum (39.9) is greater than the distance between the maximum and median (16.4). thus, the minimum temperature was furthest from the norm. the difference in differences is 39.9 - 16.4 = 23.5 degrees. this means that the minimum temperature was 23.5 degrees further away from the norm than the maximum was

The value of sin x is [tex]\frac{5}{13}[/tex] and the value of cos y is [tex]\frac{5}{13}[/tex]. The ratio of sin x and cos y is 1.

The Pythagorean Triples, which comprise the three positive numbers a, b, and c, are the integer solutions to the Pythagorean Theorem.

A right triangle's three sides are related in Euclidean geometry by the Pythagorean theorem, also known as Pythagoras' theorem.

The given triangle has sides 12 and 5.

According to the Pythagorean triplet the length of the third side is 13.

The value of sin x is [tex]\frac{5}{13}[/tex].

The value of cos y is [tex]\frac{5}{13}[/tex].

The ratio of sin x and cos y is:

[tex]\frac{sin x}{cos y} = \frac{\frac{5}{13}}{\frac{5}{13}} = 1[/tex]

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The first equation that represents 42 - p -p= 21 is correct.

An equation is a mathematical statement that express the equality between two or more number of expressions. An equal sign is mandatory for equation. An equation is used to determine unknown values in terms of variables. In our everyday life equation is used by many professionals necessarily. By using equation many complicated problems can be easily solved within a limited time.

Isaac has $42 cash in hand when arrived Saturday market.

He buys two posters that each cost selling price or SP.

when he leaved the market had $21 cash in hand.

assume, each poster has a price = p

The situation is represented by the following.

initial amount - cost for two posters = final amount

42 - p - p = 21

hence, the first equation that given in the question is correct.

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Answer:

44 862,07

Step-by-step explanation:

SUM=21000*(1+8,8/100)^9

SUM=21000*(108,8/100)^9

SUM=44862,07

The domain is the set of all real numbers except the x values.

And x :  denominator ≠ 0.

The collection of all conceivable independent values that a function or relation may take is known as its domain.

Let y = f(x) be a rational function.

And to find the domain of the rational function:

We have to find the all achievable values that rational function can have.

That means, we have to find the values where function is defined.

Rational function have numerator and denominator.

To find the domain of the rational function y = f(x):

Set the denominator ≠ 0 and solve for x.

The domain is the set of all real numbers except the x values ​​mentioned in the last step.

Therefore, the complete explanation is given above.

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Therefore ,the solution tot he given problem of rectangle comes out to be Perimeter ABCD 68 unit and Perimeter PQRS 85 unit.

A rectangle in Euclidean physics and engineering is a shape with four sharp angles. You may also put it like this: When all of a quadrilateral's angles are equal, it is said to be equiangular. A straight angle is another another option for the parallelogram. In a square, four of the vertices are the same length. A quadrilateral with a rectangle-shaped cross section has four 90° apexes and equal neighboring sides. As a result, it is sometimes referred to as a "equirectangular rectangle". Due to the uniform and perpendicular lengths of its opposing sides, a rectangle is also known as a parallelogram.

Here,

Given : ABCD ~PQRS

From the given information We get:

Scale factor  = 4/5

and

Perimeter ABCD :

=> 2(l+b)

=> 2(20+14)

=>68

and

Perimeter PQRS:

=>2(l+b)

=>2(25 + 17.5)

=>85

Therefore ,the solution tot he given problem of rectangle comes out to be Perimeter ABCD 68 unit and Perimeter PQRS 85 unit.

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Yes, Helen is correct. Pressure is directly proportional to force applied. Pressure is inversely proportional to the area.

Forces can act over a large or small area and can be strong or weak. A way to gauge the amount of force acting on a region is through pressure. High pressure is produced by a strong push on a small area, whereas low pressure is produced by a weak push distributed over a large area. Force per area is known as pressure.

Here,

Thus, when the area over which it acts is constant, we can state that pressure is directly proportional to force.

As a result, pressure increases as the force acting on a given area increases.

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Answer:  B has only one unique intercept.

Step-by-step explanation:  line has only one unique intercept when it is not a vertical or horizontal line, which means it has a slope.

In this case, line A has the equation x = 8, which is a vertical line and does not have a slope, thus it does not have a unique intercept.

Line B has the equation -8x - 7y = -7, which has a slope of -8/7. Since it has a slope, it has one unique intercept.

Line C has the equation 9y = 5, which is a horizontal line and does not have a slope, thus it does not have a unique intercept.

Line D has the equation -3x - 3y = 0, which has a slope of -3/-3 = 1. Since it has a slope, it has one unique intercept.

Thus, only line B has only one unique intercept.

2600 pounds are equal to 1.3 tons.

A unit conversion expresses the same property as a different unit of measurement. For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.

Given,

2,600 pounds to tons

1 US ton =  2000 pound

1 pound = 1/2000 US tons

2,600 pound = 2600/2000 US tons

2600 pound = 1.3 US tons.

Hence, 1.3 US tons are there in 26000 pounds.

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The sequence that lists the sides of the given triangle STU in order from shortest to longest is, US<ST<UT.

The three types of triangles based on their sides are: equilateral, isosceles and scalene.

The three types of triangles based on their angles are: acute, right and obtuse.

To find the sequence of length from shortest to longest we first need to find the missing angle S,

we're given,  

angle U = 65

angle T = 45

Using the property of sum of interior angles of a traingle,

U + T + S = 180 degrees

or, 65 + 45+ S =180

therefore, S = 70

As we know the side opposite to the largest angle is the longest, hence the sequence becomes, US<ST<UT.

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Answer:

Step-by-step explanation 3:5 copblocking

Answer: The probability of an event happening is the number of successful outcomes (also known as favorable outcomes) divided by the total number of possible outcomes.

In this case, the spinner has 16 equal regions numbered from 1 to 16, so the total number of possible outcomes is 16.

The spinner will stop on an even number or a multiple of 3 when it stops on one of these numbers: {2, 4, 6, 8, 10, 12, 14, 16, 3, 9, 15}. So the number of successful outcomes is 11.

Therefore, the probability that the spinner will stop on an even number or a multiple of 3 is:

11 / 16

This can be simplified to 11/16, which is equivalent to 0.6875 as a decimal. Rounded to four decimal places, it is 0.6875.

Alternatively, you could divide the 11 favorable outcomes by the 16 possible outcomes and also multiply by 100 to convert it to percentage point probability.

Step-by-step explanation:

Answer:

(7,2)

Step-by-step explanation:

(3,3) 》(x+4, y-1)

3=x

3+4=7

3=y

3-1=2

=(7,2)

Answer:

(7, 2 )

Step-by-step explanation:

the translation rule (x, y ) → (x + 4, y - 1 ) means

add 4 to the original x- coordinate and subtract 1 from the original y- coordinate.

(3, 3 ) → (3 + 4, 3 - 1 ) → (7, 2 )

A composite number is any positive integer that can be formed by multiplying two other positive integers.

Any positive integer that may be created by multiplying two other positive integers is referred to as a composite number.

A prime number is a natural number greater than one that cannot be calculated as the product of two smaller natural numbers. A composite number is a natural number greater than one that is not prime.

It is, in other words, a positive integer that has at least one divisor besides itself and the number 1.

Solving an example to explain the composite number.

The first five composite numbers are 4, 6, 8, 9, 10, 12, 14, and 15.

They are often referred to as "composites" for short.

So, 33 is a composite number.

Because 33 can be made by multiplying 2 smaller numbers.

The factors of 33 are: 1, 3, 11, 33

So the correct option is (C).

Therefore, 33 is a composite number with factors (C) 1, 3, 11, and 33.

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The equation in slope-intercept form is y = 3x - 8.

What is the slope-intercept form?

The equation of a straight line that passes through a particular point and is inclined at a specific angle to the x-axis can be found using the point-slope form. Every point on a line must satisfy the equation for the line in order for it to exist. This implies that a line is represented by a linear equation in two variables.

Here, we have

Given: Line includes the points (3, 1) and (4, 4).

Slope intercept: y = mx + b

We first find the slope, m, using the point-slope

Slope(m) = (y₂ - y₁)/(x₂ - x₁) = (4 - 1)/(4 - 3) = 3

Now, we find the y-intercept, b, Using any points' x and y values in y = mx + b with the found slope.

Put the slope into y = mx + b

y = 3x + b

Now, we took points (3, 1) to get slope intercept form and we get

1 = 3(3) + b

b = -8

Now, we put the value of b in y = mx + b and we get

y = 3x - 8

Hence, the equation in slope-intercept form is y = 3x - 8.

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