(b) The box was made from wood.
Which measure helped the carpenter know how much wood to buy?
Surface area O Volume
(c) The box is to be filled with sand.
Which measure would be used to find the amount of sand the box will
hold?
O Surface area ● Volume

Answer:

Annette should plan to spend 2.25 hours walking back.

Step-by-step explanation:

To solve this problem, we can use the formula:

Time = Distance / Speed

Let's assume the distance of the race is D miles.

Annette spends her time running the distance of the race, which takes:

Time running = D / 9 hours

She then walks back the same distance, which we need to find the time for:

Time walking = D / 3 hours

Since Annette has a total of 3 hours for her training, the sum of the running time and walking time should equal 3 hours:

D / 9 + D / 3 = 3

To simplify the equation, we can multiply all terms by 9 to eliminate the denominators:

D + 3D = 27

Combining like terms:

4D = 27

Dividing both sides of the equation by 4:

D = 6.75

So, the distance of the race is 6.75 miles.

To find the time Annette should spend walking back, we substitute the distance into the time-walking formula:

Time walking = D / 3 = 6.75 / 3 = 2.25 hours

Therefore, Annette should plan to spend 2.25 hours walking back.

Yes, the equation y = 5x represents direct proportion.

In Mathematics, a proportional relationship produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

In order to have a proportional relationship, the variables representing the each of the quantities must have the same constant of proportionality:

Constant of proportionality, k = y/x

Constant of proportionality, k = 5/1

Constant of proportionality, k = 5.

In conclusion, we can logically deduce that the given equation represents direct proportion.

Read more on proportional relationship here: brainly.com/question/28350476

#SPJ1

Complete Question:

Does this equation represent direct proportion?

y = 5x

Final Answer: \(d = 33\)

Steps/Reasons/Explanation:

Question: Solve the equation \(\frac{d}{3} = 11\).

Step 1: Multiply both sides by \(3\).

\(d = 11\) × \(3\)

Step 2: Simplify \(11\) × \(3\) to \(33\).

\(d = 33\)

~I hope I helped you :)~

The correct answer is (C) \(\angle B \cong \angle C.\) when In the diagram below of circle O, chords AD and BC intersect at E.

What is a circle ?

A circle is a two-dimensional geometric shape that consists of all the points in a plane that are at a fixed distance from a given point, called the center.

In the given diagram, we have a circle O with chords AB, CD, AD, and BC. The chords AD and BC intersect at point E.

Based on the diagram, we can see that the opposite angles in the quadrilateral AEDC are supplementary (i.e., they add up to 180 degrees). Therefore, we have:

\(\angle A + \angle C = 180^\circ\)

Similarly, the opposite angles in the quadrilateral BEFC are supplementary. Thus,

\(\angle B + \angle C = 180^\circ\)

We can rewrite the second equation as:

\(\angle C = 180^\circ - \angle B\)

Substituting this value of \angle C into the first equation, we get:

\(\angle A + 180^\circ - \angle B = 180^\circ\)

Simplifying, we get:

\(\angle A = \angle B\)

Therefore, the correct answer is (C) \(\angle B \cong \angle C.\)

To learn more about chords visit the link :

https://brainly.com/question/1654080

#SPJ1

The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

learn more on kite here: https://brainly.com/question/27975644

#SPJ9

Answer:

wala akong pake

Step-by-step explanation:

walaa ako paki

Answer: Q = 35, PR = 12.62, QR = 18.02

Step-by-step explanation:

Find Q
Sum of angles in a triangle is 180
So 180 = Q + R + P
180 - R - P = Q
we given P = 55 and R = 90
so 180 - 55 - 90 = 35
Q = 35

Find PR
we have hypotenuse QP = 22, and an angle P = 55
PR is adjacent to angle P, thus we can use cos ratio, cos x = H / A
so A = cos(x) * H
PR = cos(55) * 22
PR = 12.62

Find QR
QR is opposite to angle P, thus we can use sin ratio, sin x = H/O
So O = sin(x) * H
QR = sin(55) * 22
QR = 18.02

The inequality value that would be able to show/x/ ≤ 5 is option A

In mathematics, inequality refers to a mathematical statement that expresses a relationship between two quantities, indicating that one quantity is greater than, less than, or not equal to the other.

The symbol that we have  is telling us that the value of the x would be less than  or it would be seen to be equal to five.

We can see that /x/ ≤ 5 would exclude the negative values and this can be seen in the option that is marked option A

Learn more about inequality:https://brainly.com/question/20383699

#SPJ1

Answer:

-1.7 or 1 7/10

Step-by-step explanation:

Conversion a mixed number to a improper fraction: 2 1/8 = 2 · 8 + 1

8

= 17

8

Unary minus: -17

8

Conversion a mixed number to a improper fraction: 1 1/4 = 1 · 4 + 1

4

= 5

4

Divide: -17

8

: 5

4

= -17

8

· 4

5

= -17 · 4

8 · 5

= -68

40

= -17

10

To divide one fraction by another, invert the second fraction, then multiply.

The quadratic function in standard form that models the given table is y = 4.5x² - 6.75x + 1.75.

what is quadratic function ?

A quadratic function is  of the form f(x) = ax² + bx + c, where a, b, and c are constants and a ≠ 0. This function produces a U-shaped graph called a parabola.

what is standard form ?

Standard form is a specific way of writing mathematical equations, particularly equations of lines and quadratic functions. For quadratic functions, the standard form is f(x) = ax² + bx + c, where a, b, and c are constants and a ≠ 0.

In the given question,

To write a quadratic function in standard form that models the given table, we need to use three points from the table. Let's use the points (0.5, 1), (2, 2.5), and (1.5, 0) to create the function.

First, we can find the equation of the parabola that passes through the points (0.5, 1) and (2, 2.5) using the point-slope form of a line:

slope = (2.5 - 1) / (2 - 0.5) = 3

y - 1 = 3(x - 0.5)

y = 3x - 0.5

Next, we can substitute the x and y values of the point (1.5, 0) into the equation to find the coefficient a:

0 = 3(1.5) - 0.5a

a = 4.5

Finally, we can substitute the values of a, b, and c into the standard form of a quadratic equation:

y = ax² + bx + c

y = 4.5x² - 6.75x + 1.75

Therefore, the quadratic function in standard form that models the given table is y = 4.5x² - 6.75x + 1.75.

To know more about quadratic function, visit:

https://brainly.com/question/18958913

#SPJ1

\(39+\dfrac 15 w \\\\=39+\dfrac 15 \left(-\dfrac 12 \right)\\\\\\=39 - \dfrac 1{10}\\\\\\=\dfrac{389}{10}\\\\\\=38\dfrac{9}{10}\)

Answer: y = 98.6x+3.7

Step-by-step explanation: the regular temperature plus the temperature added to becme a sick person

Answer:

147

Step-by-step explanation:

120 - (-27) =  120 + 27 = 147

Answer:

x = 1

y = 2

z = -1

Explanation:

We have the system:

We can use the Elimination Method. We'll try to eliminate variables from any of the equations by adding or resting the other equations.

First, if we subtract the 3º equation to the 1º one:

Now we know the value of z.

Next, we can subtract the 1º equation to the 2º:

The value of y = 2

Now, we can use the values of z and y, to find the value of x. Let's use the 1º equation:

x = 1

We have found the solution of the equation system:

x = 1

y = 2

z = -1

Answer:

255 m

Step-by-step explanation:

From the given question, the surface of the water body is the reference point. And this point is assumed to be 0, so that any distance above it is positive, and any distance below is negative. This is synonymous to the number line system.

Thus,

For the aircraft, its height = +200 m

For the submarine, its depth = -55 m

So that the difference between the submarine and aircraft can be determined as;

200 - (-55)

= 200 + 55

= 255 m

The distance between the submarine and aircraft is 255 m.

The expression that gives the area of the rectangular flag is presented as follows:

5x + 7.5.

The area of a rectangle of length l and width w is obtained by the multiplication of these dimensions, as follows:

A = l x w.

The flag in this problem is composed by three rectangles, as follows:

The total area is obtained by the sum of the areas of each part of the flag, hence:

Area = 2x + 2 x 1.5 + 3(x + 1.5)

Area = 2x + 3 + 3x + 4.5

Area = 5x + 7.5.

The area of each part was obtained by the multiplication of the dimensions, which is the standard procedure to obtain the area of a rectangle.

The flag is given by the image at the end of the answer.

More can be learned about the area of a rectangle at https://brainly.com/question/10489198

#SPJ1

There is no real Value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

(i) Zeroes of the polynomial:

In the graph, we have two points where the curve intersects the x-axis: one is at (-1,0), and the other is at (2,0).The corresponding values of x are -1 and 2, and they are the zeros of the polynomial. Therefore, the zeros of the polynomial are -1 and 2.(ii) Forming the quadratic polynomial:

From the graph, we can observe that the curve intersects the y-axis at the point (0,5), implying that the constant term of the polynomial is 5.

We can use the formula to find the quadratic polynomial if we have two zeros and one constant term. Thus, the quadratic polynomial is given by:(x + 1)(x - 2) = x² - x - 2x + 2 = x² - 3x + 2. Therefore, the quadratic polynomial is x² - 3x + 2.(iii) Value of k if a, 1/a are the zeroes of the polynomial 2x² - x + 8k:

We know that a and 1/a are the zeroes of the polynomial 2x² - x + 8k. Therefore, we can find the sum and product of the roots and use them to determine the value of k.

The sum of the roots is a + 1/a, and their product is a(1/a) = 1. Using the sum and product of the roots, we can write: a + 1/a = 1/2 (1/2 is the coefficient of x)Substituting a with 1/a in the above equation, we get: 1/a + a = 1/2Multiplying both sides of the equation by 2a, we get: 2 + 2a² = a

Simplifying the equation, we get: 2a² - a + 2 = 0Multiplying both sides by 2,

we get: 4a² - 2a + 4 = 0Dividing both sides by 2, we get: 2a² - a + 2 = 0

Using the quadratic formula, we get: a = [1 ± √(1 - 4(2)(2))]/(2(2))

Simplifying, we get: a = [1 ± √(-31)]/4Since the discriminant of the quadratic formula is negative, the roots are imaginary. Therefore, there is no real value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

For more questions on Value .

https://brainly.com/question/843074

#SPJ8

The sum angles in a triangle is 180 degrees

In the first triangle where we have 36 degrees and 63 degrees

we have three angles

36 degrees , 63 degrees and x degrees

x + 36 + 63 = 180

x + 99 = 180

isolate x

x = 180 - 99

x = 81 degrees

to calculate z

interior altenate angles are equal

36 degrees is alternate to angle z

Therefore 36 degrees = z

z = 36 degrees

to get y

y + 36 + 13 = 180

y + 49 = 180

y = 180 - 49

y = 131 degrees

Answer:

Step-by-step explanation:

Basically you just multiply everything together

1) 6.842

2) 2524.691522

3) 4321.4

4) 9370.2

5) 0.0999999

Best way to solve these questions is either a calculator or write the questions down and figure it out yourself. It isn't that hard.

Explanation on how to place the decimal places I found on a good website:

Decimals are multiplied as if they were whole numbers, and then the decimal point is placed in the product.

To find out where the decimal point should be placed, count the number of decimal places after the decimal point in each factor.

Multiply 0.7 by 0.352

   0.7      1 decimal place

0.352      3 decimal places

              A total of 4 decimal places

Once you have found the sum of the decimal places in each factor, you know how many decimal places the product will need after its decimal point. Starting at the far right of the number, move the decimal point toward the left that number of decimal places.

0.2464 (4 decimal places after the decimal point)

Dividing decimals

1.  Move the decimal point in the divisor to the right to make the divisor a whole number.  

2.  Move the decimal point in the dividend the same number of places to the right.  

3.  Place the decimal point in the quotient directly over the decimal point in the dividend for the final quotient.

4.  Divide as if working with whole numbers

From 10:15 a.m. to 12:00 p.m. there are 1:45 hours. From 12:00 p.m. to 4:45 p.m. there are 4:45 hours therefore, each day Mr. Douglas works

hours.

Now, each week, Mr. Douglas works 4 days therefore, in one week, he works:

hours. Simplifying the above resut we get:

Finally, in four weeks Mr.Douglas works:

Answer:

Answer:

Hello!!

If Mallorie has $5.50 in her wallet. If this is 10% of her monthly allowance, her monthly allowance is $50.

Step-by-step explanation:

\(5.50\) ÷\(10=0.55\) round decimal two places to the right

Hope this helps!!

Answer:

2.3 hours

Step-by-step explanation:

From 3:12 pm to 4:12 pm, one hour passes.

From 4:12 pm to 5:12 pm, another hour passes.

From 5:12 pm to 5:30 pm, there are 18 minutes that pass.

Therefore, the total time elapsed is 2 hours and 18 minutes out of 60 minutes in an hour.

To convert this to a fraction, we can write:

2 hours + 18 minutes = 2 + 18/60 hours = 2.3 hours

So, 2.3/1 hour passes from 3:12 pm to 5:30 pm.

The slope of the equations is equal. Then the lines are parallel to each other.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The linear equation is given below.

y = 2x + 1        ....1

2x - y = 3

y = 2x - 3         ....2

The slope of both equations is 2.

The slope of the equations is equal. Then the lines are parallel to each other.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ1

The graph of the function f(x) = 4(2/3)^x is added as an attachment

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

f(x)=4⋅(

2

3

​)

x

Express the equation properly

So, we have

f(x) = 4(2/3)^x

The above expression is a an equation of a exponential function

Next, we plot the graph using a graphing tool

To plot the graph, we enter the equation in a graphing tool and attach the display

See attachment for the graph of the function

Read more about graphs at

https://brainly.com/question/30390162

#SPJ1

The point that Janna scores on the 6th test is 92.

Since Janna’s average score on five 100-point tests was 80. The total score will be:

= 5 × 80

= 400

Since the score on the sixth test raised her mean score two points, the total score will be:

= (80 + 2) × 6

= 82 × 6

= 492

The points that she had on the sixth score will be:

= 492 - 400

= 92

Learn more about mean on:

brainly.com/question/1136789

#SPJ1

The inequality system that is represented in the graph are-

y < -x -1 and y ≤ x + 2.

Consider two point on dotted line.

(-1, 0) and (-2, 1)

Fine slope m:

m = (1 - 0)/(-2 + 1)

m = -1

Equation of line:

y - 0 = (-1)(x + 1)

y = -x -1

In the  inequality system.

y < -x -1

Consider two point on bold line.

(0,2) and (-2, 0)

Fine slope m:

m = (0 - 2)/(-2 -0)

m = 1

Equation of line:

y - 2 = (1)(x + 0)

y = x + 2

In the inequality system.

y ≤ x + 2

Thus, the inequality system that is represented in the graph are-

y < -x -1 and y ≤ x + 2.

know more about the inequality system

https://brainly.com/question/11897796

#SPJ1

Answer:

1.6 is greater than 1.59

Step-by-step explanation:

It goes. 1.5 -> 1.51 -> 1.52.... -> 1.58 -> 1.59 -> 1.6 -> 1.61...

(c) 15i + 4b ≥ 100 inequality represents this scenario.

To represent the scenario described in the problem, we need to use an inequality that relates the amount of money Emily spends on ink and brushes to the total amount of money she has available. Let's call the amount of ink Emily buys "x" and the number of brushes "y". Then the total amount of money she spends is:

Total cost = 8x + 18y

We want to know when this total cost is less than or equal to $100, so we can write:

8x + 18y ≤ 100

This inequality means that the total cost of ink and brushes must be less than or equal to the amount of money Emily has available. Therefore, the answer is (c) 15i + 4b ≥ 100.

Correct Question :

Emily has $100 extra to spend on supplies for her T-shirt-making business. She wants to buy ink, i, which costs $8 a bottle, and ne brushes, b, which are $18 each. Which inequality below represents this scenario?

a) 4i+100 ≤ 15b

b) 15i + 4b ≤ 100

c) 15i + 4b ≥ 100

d) 4i + 15b ≤ 100

To learn more about inequality here:

https://brainly.com/question/30231190

#SPJ1

Answer:

D) 3

Step-by-step explanation: