Translate this phrase into an algebraic expression.
The sum of 17 and twice Matt's score
Use the variable m to represent Matt's score.

So, Gina's farm produced approximately 471.8 tons of sweet potatoes this year. Rounded to the nearest whole number, this is 472 tons.

When we talk about an increase, we are referring to a change in quantity or value that is greater than the original amount. In other words, an increase means that something has gotten bigger, larger, or more than it was before.

Given by the question.

To find out how much sweet potatoes Gina's farm produced this year, we need to add 40% of last year's production to the amount produced last year:

40% of 337 tons = 0.4 x 337 = 134.8 tons

Adding this to last year's production gives:

337 + 134.8 = 471.8 tons

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The image is attached

The algebraic rule for the translation is

The coordinates of the image is determined using the translation rule as follows

Triangle ABC has the vertices A (1, 2), B (1. 4) and C (3, 2)

preimage                      image

A (1, 2) → ((1 - 4, 2 + 5) → A' (-3, 7)

B (1. 4) → (1 - 4, 4 + 5) →   B' (-3, 9)

C (3, 2) → (3 - 4, 2 + 5) → C' (-1, 7)

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Answer:

Shade in 5 parts of the 10 strip.

Step-by-step explanation:

I didn't get an image but what I think the problem looks like is this, 10 empty strips, but just fill in 5, then it looks like the second image.

Answer:

16 inches

Step-by-step explanation:

28 - 12 = 16 inches

1 foot = 12 inches

Answer:

the median is 139

Step-by-step explanation:

there are 19 numbers in the data set. Therefore, the 10th number would be the median.

Answer:

0.7813....

Step-by-step explanation:

\(\frac {\pi} {5} \) is irrational

0.7813.... Is irrational

Yes, 0.62831853071 is a rational number, because it is terminating and can be expressed in the form of p/q.

Answer:

Step-by-step explanation:

-3(1+6j)+j when j=14

remove the "j" and put 14 in its place

-3 * (1 + 6 * 14) + 14 =

-3 * ( 1 + 84) + 14 =

-3 * 85 + 14 =

- 255 + 14 =

-241

Answer:

\(m=\frac{-3}{4}\)

Step-by-step explanation:

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Simply plug in 2 coordinates into the slope formula to find slope m:

\(m=\frac{-4-(-1)}{5-1}\)

\(m=\frac{-4+1}{4}\)

\(m=\frac{-3}{4}\)

A linear equation in the form p = mn + b that gives the price they can charge for n shirts is p = -0.008x + 95

In Mathematics, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

At data point (2000, 79), a linear function in standard form for this line can be calculated by using the point-slope form as follows:

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - 79 = (7 - 79)/(11,000 - 2000)(x - 2,000)

y - 79 = -0.008(x - 2,000)

y = -0.008x + 16 + 79

p = y = -0.008x + 95

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Answer:

where is the list?????

Step-by-step explanation:

It should be noted that experimental probability is based on past observations and might not accurately predict future events.

It has been established that experimental probability is based on past observations or on historical data.

To determine the experimental probability of the high temperature being over 75 degrees on June 23rd, one would basically gather historical data of high temperatures on June 23rd from previous years. Then, one would calculate the proportion of times the temperature was over 75 degrees.

For example, if one had data for the past 10 years and on 7 of those years the temperature was over 75 degrees on June 23rd, the experimental probability would be 7/10 or 0.7 (or 70%).

Therefore, it's always a good idea to consult meteorological sources or weather forecasts for the most up-to-date and accurate information.

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♥

The rule for a rotation by 270° about the origin is (x,y)→(y,−x)

so i guess A?

♥

Answer:

volume of tank is 157.5m

Step-by-step explanation:

that's too high

The circumference and area of the circle are 13cm and 13cm^2 respectively

The formula for circumference of a circle is expressed as:

Circumference = 2πr

From the graph shown, we have the radius of the circle as 2 cm

Substitute the value into the formula

Circumference = 2 × 3. 142 × 2

Multiply through

Circumference = 12. 568

Circumference = 13cm

The formula for area of a circle is expressed as:

Area = πr^2

Substitute the value into the formula

Area = 3. 142 × (2)^2

Area = 3. 142 × 4

Area = 12. 568

Area = 13cm^2

Thus, the circumference and area of the circle are 13cm and 13cm^2 respectively.

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Answer:

Part A, write out the equation by subtracting the vertex from x and y, then set it equal to the radius square. All of this information is given in the picture. Then the domain is all the x's and the range is all the y's starting at the center and going out 10 in each direction since 10 is the radius.

Step-by-step explanation:

Use the circle formula that you learned in lesson 3.02 using the given points. Remember this quiz was open note and your formula should be in your notes. Also, it should be familiar to you from Geometry and middle school math where you first learned about circles:)

Answer:

100%

Step-by-step explanation:

Start with x.

x = x/1

Increase the numerator by 60% to 1.6x.

Decrease the numerator by 20% to 0.8.

The new fraction is

1.6x/0.8

Do the division.

1.6x/0.8 = 2x

The fraction increased from x to 2x. It became double of what it was. From x to 2x, the increase is x. Since x was the original number x is 100%.

The increase is 100%.

Answer:

33%

Step-by-step explanation:

let fraction be x/y

numerator increased by 60%

=x+60%ofx

=8x

denominator increased by 20%

=y+20%of y

so the increased fraction is 4x/3y

let the fraction is increased by a%

then

x/y +a%of (x/y)=4x/3y

or, a%of(x/y)=x/3y

\(a\% = \frac{x}{3y} \times \frac{y}{x} \)

therefore a=33

anda%=33%

Answer:

1/4

Step-by-step explanation:

First you add all of the marbles in the bag which is 16 marbles.  The fraction of red marbles to the total would be 4/16.  In the simplest form that is 1/4. You can also just do 4 divide by 16 which gives you 0.25 and in decimal form that is 1/4.

Fine the area as if it was a full rectangle then subtract the area of the cut out part.

7 x 6 = 42 square yards

5 x 4 = 20 square yards

42 - 20 -= 22 square yards

Answer: 22 square yards

Answer:

linear function

Step-by-step explanation:

straight line then add up

Answer:

well having this helps the commutie

Step-by-step explanation:

Answer:

Step-by-step explanation:

There is none of these numbers are divisible by 9 and the required number is 474 divisible by 3 which the correct answer would be an option (D)

What is the divisibility rule?

The divisibility rule states that " Divisible By, implies that when two numbers are divided, the result would be a whole number.

The sum of the digits should be divisible by 9

⇒ 474 : (4+7+4=15, and again, 1+5=6)

This number is not divisible by 9

⇒ 127  : (1+2+7=10, and again, 1+0=1)

This number is also not divisible by 9

⇒ 907  : (9+0+7=16, and again, 1+6=7)

This number is also not divisible by 9

The sum of the digits should be divisible by 3

⇒ 474 : (4+7+4=15, and 15÷3 = 5)

This number is divisible by 3

⇒ 127  : (1+2+7=10, and 10÷3 = 3.333)

This number is not divisible by 3

⇒ 907  : (9+0+7=16, and  16÷3 = 5.333)

This number is not divisible by 3

There is none of these numbers are divisible by 9 and the required number is 474 divisible by 3 which the correct answer would be an option (D)

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The question seems to be incomplete the correct question would be

(a) Which numbers are divisible by 9?

(A). 474

(B). 127

(C). 907

(D). None of these

(b) Which numbers are divisible by 3?

(A). 474

(B). 127

(C). 907

(D). None of these

1. The slopes of perpendicular lines are  a negative reciprocal

2. Parallel lines have the same slope.

3. The shortest distance from any point to a line is a straight line

The slope of two perpendicular lines is such that the slope of one line is equal to the reciprocal of the negative slope of the other.

if two lines of slope m and m' are perpendicular their slopes is written as

m = -1/m'

Parallel lines grow vertically and flow horizontally at the same rate. they have the same slope, they never cross.

if two lines of slope m and m' are perpendicular their slopes is written as

m = m'

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The coordinates of the image point will be P''(7, 5).

Given is to translate P(4, 0) right by 3 units and up by 5 units.

Rightward translation : P'(4 + 3, 0 + 0) = P'(7, 0)

Upward translation : P''(7 + 0, 0 + 5) = P''(7, 5)

Therefore, the coordinates of the image point will be P''(7, 5).

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Answer: D = √2

(please respond if im wrong)

Step-by-step explanation:

The fold is made along BE. A folds onto A′.

A′B = AB =√2 ⇒ A′C = 1

(by Pythagoras)

ΔA′BC

is therefore a right-angled isosceles triangle.

⇒∠BA′C=45∘ ⇒∠EA′D=45∘

⇒ ED = A′D = √2−1

Answer:

-17/12

Step-by-step explanation:

║5/6 - 7/12║- ║5/3║

= ║10/12 - 7/12║ - ║5/3║

= ║3/12║- ║5/3║

= 3/12 - 5/3

= 3/12 - 20/12

= -17/12

The minimum point on the graph is \((-6,25)\), which confirms that the function has a minimum at\(-6\).

In mathematics, a graph is a diagram that shows the relationship between different sets of data. It is made up of points, which are also called vertices or nodes, that are connected by lines or curves called edges or arcs.

In mathematics, a function is a relation between two sets of data, such that each input in the first set corresponds to exactly one output in the second set. In other words, a function maps each input value to exactly one output value.

According to given information:

Let's start by writing the quadratic function in factored form, given that it has zeros at \(-1\) and \(-11\):

\(f(x) = a(x- (-1))(x- (-11))\)

Simplifying, we get:

\(f(x) = a(x+1)(x+11)\)

To find the value of a, we need to use the fact that the function has a minimum at \(-5\). Since the vertex of the parabola is at the minimum point, we know that the x-coordinate of the vertex is \(-5\). Therefore, we can use this information to find the value of a as follows:

\(-5 = (-1+(-11))/2\\-5 = -6\)

This tells us that the axis of symmetry of the parabola is \(x =-5\). Since we know that the function has zeros at \(-1\) and \(-11\), we can deduce that the vertex must lie halfway between these two zeros, at\(x = -6\). Therefore, the value of a is:

\(f(-6) = a((-6)+1)(-6) +11) = a(5) (-1) = -5a\)

We also know that the function has a minimum at this point, so we can use this to find the value of a:

\(f(-6) = -5\\-5= -5a\\\\a = 1\)

Therefore, the quadratic function that satisfies these conditions is:

\(f(x) = (x+1) (x+11)\)

We can check that this function has zeros at \(-1\) and \(-11\), and that it has a minimum at\(x =-6\) by finding its vertex:

x-coordinate of vertex = \((-1 +(-11))/2 =-6\)

y-coordinate of vertex =\(f(-6) = (-6+1)(-6+11) = 25\)

Therefore, the minimum point on the graph is \((-6,25)\), which confirms that the function has a minimum at -6.

Which of the following function has zeros at \(-1\) and\(-11\) and a minimum of \(-5\) ?

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Answer:

For High School A, the equation is 8x+8y=240, with x representing number of students in a van and y representing the number of students in a bus. For High school B, the equation is 4x+y=54.

Now solve the system of equations to find the values of your variables.

4x+y=54 means that y=54-4x.

Now plug in this value of y into the equation for High School A.

8x+8(54-4x)=240

8x+432-32x=240

192=24x

8=x

Now that you have solved for x, plug this value in to one of the equations to solve for y.

4(8)+y=54

y=22

To check this solution of x=8 and y=22, plug these values into the other equation

8(8)+8(22)=240

Because this is correct, you know that each van holds 8 students and each bus holds 22 students.