The first quartile in a box-and-whisker plot would be located on what number?

Final answer:

The volume of the brick patio is 40 cubic feet, and by using the density of brick (130 pounds per cubic foot), the weight is found to be 5200 pounds.

Explanation:

To find the volume of the brick patio, we multiply its length, width, and height, keeping in mind to convert all dimensions to the same unit. The brick patio measures 10ft by 12ft by 4in. Since 1 foot is equal to 12 inches, the height in feet is 4in * (1ft / 12in) = 1/3 ft. Now, the volume can be calculated as follows:

Volume = Length × Width × Height
Volume = 10ft × 12ft × (1/3)ft
Volume = 120ft × (1/3)ft
Volume = 40 cubic feet.

To find the weight of the patio, we use the given density of brick, which is 130 pounds per cubic foot, and the volume that we have just calculated:

Weight = Density × Volume
Weight = 130 lbs/ft³ × 40 ft³
Weight = 5200 pounds.

The weight of the brick patio is therefore 5200 pounds.

Answer:

the correct system of equations is the first one.

Step-by-step explanation:

h+d=300

2h+d=420

Answer:

x=2 , 1

Step-by-step explanation:

the zeros are the value of X

-x+2x+x-2

-x(x-2)+x-2

(x-2)×(x+1)

x = 2 , 1

Answer:

w=1  There are no extraneous solutions

Step-by-step explanation:

Multiply each side by 10w

10w ( 5/2w - 3/5w ) = 19/10 * 10w

Distribute

5*5 - 3*2 = 19w

25-6 = 19w

19 = 19w

Divide each side by 19

19/19 = 19w/19

1= w

Answer:

18 work for company A and 13 for company B

Step-by-step explanation:

Company A = A

Company B = B

A = B + 5

A + B = 31

B + 5 + B = 31

2B + 5 = 31

2B = 26

B = 13 -->

A = 13 + 5

A = 18

Answer: B D E

Step-by-step explanation:

Answer:

bde

Step-by-step explanation:

Answer:

Electrostatic force

Step-by-step explanation:

The answer is Electrostatic force because physical contact isn't required here.

a) The absolute value equation is |x - 11| = 6.

b) The absolute value equation is |x - 0| = 1/2, which simplifies to |x| = 1/2.

To write the absolute value equation in the form |x - c| = d for the given solution sets, we need to find the midpoint (c) between the two values and the distance (d) from the midpoint to either of the values.

b) For the solution set x = 5, x = 17:

Midpoint (c) = (5 + 17) / 2 = 22 / 2 = 11

Distance (d) from the midpoint to either value (e.g., 5) = |5 - 11| = 6

So, the absolute value equation is |x - 11| = 6.

d) For the solution set x = -1/2, x = 1/2:

Midpoint (c) = (-1/2 + 1/2) / 2 = 0 / 2 = 0

Distance (d) from the midpoint to either value (e.g., 1/2) = |-1/2 - 0| = 1/2

So, the absolute value equation is |x - 0| = 1/2, which simplifies to |x| = 1/2.

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Question

HELP QUICK PLS, For each of the figures, write Absolute Value equation in the form

|x−c=d|, where c and d are some numbers, to satisfy the given solution set.

a) x=5, x=17

b) x=-1/2, x=1/2

Answer:

-3/5

Step-by-step explanation:

First represent this with numbers. Less means subtraction -, times means multiplication *, is means equals =.

And let's represent "a number" with x.

63 - 15x = 72

Solve for x. First subtract 63 from both sides.

-15x = 72-63

-15x = 9

x = -9/15 = -3/5

Answer:

-3/5

Step-by-step explanation:

The equation would be represented as 63 - 15 x X = 72

To further simplify the problem : 63 - 15x = 72

Then you subtract

- 15x = 9

- 3/5

The expression [tex]\(2^6\)[/tex] means 2 raised to the power of 6. It indicates multiplying 2 by itself six times. So, [tex]\(2^6\)[/tex] is equal to 64. The correct answer is C. 64.

It seems like the expression you've written is [tex]2^{6}[/tex], which means 2 raised to the power of 6. Let's evaluate this expression:

[tex]\[ 2^6 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 64 \][/tex]

So, the correct answer is:

[tex]\[ \text{C. 64} \][/tex]

Q- Evaluate the expression  [tex]2^{6}[/tex].

A. 26

B. 12

C. 64

D. 36

Answer:

Equilateral triangles can have only acute angles because acute angles means less than 90° so every angles in equilateral triangle have 60°

Answer: 34/10=3.4 The estimated quotient is 3.4

Step-by-step explanation: Basically,  you are dividing 33.7 by 9.5, but first you will need to round to the nearest whole number. A whole number does not contain a decimal. 33.7 rounded to the nearest whole number is 34. 9.5 rounded to the nearest whole number is 10. So, you are dividing 34 by 10.  34 divided by 10 is 3.4.

The quotient of 33.7/9.5, rounded to the nearest whole number is: 4.

Therefore, the quotient between 33.7 and 9.5 would be:

33.7/9.5 = 3.547 (division).

We are asked to round to the nearest whole number.

Therefore, the quotient of 33.7/9.5, rounded to the nearest whole number is: 4.

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Step-by-step explanation:

Given points (4 , -4) and ( 1, 2)

First calculating slope (m)

=( y2 - y1) /( x2 -x1)

= ( 2 + 4) / (1-4)

= 6/ -3

= -2

Now

The equation in point slope form

y - y1 = m ( x - x1)

y + 4 = -2 ( x - 4)

y + 4 = -2x + 8

2x + y - 8 + 4 = 0

2x + y -4 = 0 which is the required equation

.............................

Answer:

[tex]f(x) = 2 {x}^{2} - x - 9 \\ \\ a) \: plug \: x = - 2 \\ f( - 2) = 2 \times {( - 2)}^{2} - ( - 2) - 9 \\ f( - 2) = 2 \times 4 + 2 - 9 \\ f( - 2) =8 + 2 - 9 \\ f( - 2) =10 - 9 \\ \huge \red{ \boxed{ f( - 2) =1}} \\ \\ b) \: \: plug \: x = x - 2 \\ f(x - 2) = 2 {(x - 2)}^{2} - (x - 2) - 9 \\ f(x - 2) = 2 {( {x}^{2} - 4x + 4 )} - x + 2- 9 \\ f(x - 2) = 2 {x}^{2} - 8x + 8 - x + 2- 9 \\ \purple{ \boxed{\bold{f(x - 2) = 2 {x}^{2} - 9x + 1}}} \\ \\ c) \: \: plug \: x = r \\ \orange{\boxed{\bold{f(r) = 2 {r}^{2} - r - 9}}}[/tex]

The solution of the system is x = - 1 and y = 8/3.

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

We have a system of equations,

2x+3y=6  {equation 1}

-4x+3y=12  {equation 2}

Subtracting equation 2 to equation 1,

2x - (-4x) = 6 - 12

6x  = - 6

x = - 1.

And y = 8/3

Therefore, the solution is x = - 1 and y = 8/3.

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Answer: A. 7 divided by 8.

Step-by-step explanation:

7/8 is the same as saying seven divided by 8.

The correct answer to the question: 'Which expression is equal to 7/8?' is A. 7 divided by 8. This is because the '/' in the fraction 7/8 represents division, so 7/8 is the same as '7 divided by 8'.

In Mathematics, when dealing with fractions, division, and multiplication, it's crucial to understand their relationships. The symbol '/' in a fraction actually represents division. So, the fraction 7/8 can be interpreted as '7 divided by 8'. Therefore, the correct answer to your question is: 'Which expression is equal to 7/8?' is A. 7 divided by 8.

On the other hand, options B and D (8 x 7, 7 x 8) represent multiplication and C (8 divided by 7) is a different division operation where 8 is divided by 7, not 7 by 8.

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Answer:

Your answer is: C) 3

Step-by-step explanation:

The formula used to find side A in this problem is called the Pythagorean Theorum.  The formula is as follows:  a = the square root of c squared minus b squared.  Or, you can say that the hypotenuse is equal to: c = the square root of a squared and b squared  added together.  This might sound confusing in the start, but here's all you have to do. c^2 = 25.  4^2 = 16.  25 - 16 = 9.  The square root of 9 = 3.  C) 3 is your answer.

Given:

Triangles FRI and DAY are similar.

To find:

Similarity ratio

Solution:

If two triangles are similar then the corresponding angles are congruent and the corresponding sides are in proportion.

Here, FR and DA are corresponding sides.

[tex]$\Rightarrow \frac{FR}{DA} =\frac{4}{6}[/tex]

Cancel the common factors of 4 and 6, we get

[tex]$\Rightarrow \frac{FR}{DA} =\frac{2}{3}[/tex]

⇒ FR : DA = 2 : 3

⇒ ΔFRI : ΔDAY = 2 : 3

Similarity ratio of the first triangle to the second triangle is 2 : 3.

The similarity ratio should be 2:3

In the case when two triangles are same so the corresponding angles are congruent and the corresponding sides should be in proportion.

So,

[tex]FR \div DA = 4\div 6[/tex]

FR:DA = 2:3

Based on the above calculations, we can say that the ratio of first triangle to the second triangle should be 2:3

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Answer:

add or multiply regardless of how the numbers are grouped.

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

in order to evaluate for the value of x from this 2(x+5)=7x-5 , we will open the bracket and the evaluate for x.

solution

2(x+5)=7x-5

2x + 10 = 7x - 5

collect the like terms together

2x + 10 +5 = 7x

15 = 7x - 2x

15 = 5x

divide both sides by 5

15/5 = 5x/5

3 = x

x =3

so, to evaluate for 2x² + 10

will be

2x² + 10

2 (3)² + 10

2 x 9 + 10

18 + 10

28

Answer:

They are the same

Step-by-step explanation:

1 meter = 100 cm,

5 meters = 500 cm.

Answer:

5 m = 500 cm

Step-by-step explanation:

1 m = 100 cm

5m = 5 x 100 cm = 500 cm

Answer:

$28.90

Step-by-step explanation:

If it is marked down 15% then that means it is sold at 85% of the original price

x/34=85/100

cross multiply both fractions

100x=2890

x=28.90

Answer:

$28.90

Step-by-step explanation:

take 34 and multiply that by .15, that would get you 5.1

take 34 and subtract 5.1 and that should get you your new price

Answer:

1

Step-by-step explanation:

Answer:

answer in picture as well  
1

Step-by-step explanation:

Answer:

5:24

Step-by-step explanation:

We're provided with the number of rebounds as 90 while the points are 432. Expressing them into ratio of rebounds to steals we have

90:432

Simplification:

Dividing both sides by 2 we obtain

45:216

Dividing both sides of the above ratio by 3 we obtain

15:72

Dividing both sides of the above ratio further by 3 we obtain

5:24

Therefore, rhe simplified ratio of rebounds ro steals is 5:24

Answer:

10 units

Step-by-step explanation:

Use distance formula

distance D = root (  (1 - -5)^2  + (-6 - 2)^2 )

D = root (6^2  + 8^2)  =   root (100) = 10

Step-by-step explanation:

[tex]1km = 1000m \\ x = \frac{10000}{1000} \\ x = 10km[/tex]

Answer:

1

Step-by-step explanation:

IT means that that 1km is =10000m

Answer:

21%

Step-by-step explanation:

okay so 400 is your denominator, and 84 is your numerator, so divide 400 by 4 so you get 100, because your percentage should be out of 100. because you divided 400 by 4, you also have to do that for 84, giving you 21 out of 100. converted to a decimal its .21, or 21%

Final answer:

To find the percentage of seventh grade students who made honor roll, a proportion is used, yielding a result of 21 percent.

Explanation:

To calculate the percentage of seventh grade students who made honor roll, we can set up a proportion where 84 students is to 400 students as x percent is to 100 percent. The proportion can be written as 84/400 = x/100. To find x, we cross-multiply and solve for x.

First, cross-multiply: 84 * 100 = 400x. This gives us 8400 = 400x. Next, divide both sides of the equation by 400 to solve for x: 8400 / 400 = x. This results in x being equal to 21. Therefore, 21 percent of the seventh grade students made honor roll.

Answer:

two vertex are: (1 , 6.2) , (1 , - 4.2)

Step-by-step explanation:

A(-2, 1) and B (4, 1)    AB is a parallel segment with  x axis

The 3rd vertex P (x , y) will locate at the mid point of AB

x = (-2) + (4 - (-2)) /2 = 1       P (1 , y)

length AB = 4 - (-2) = 6

AP = AB (equilateral)

BP² = (4 - 1)² + (1 - y)² = 6²

1 - 2y + y² = 36 - 9 = 27

y² - 2y -26 = 0

y = ((-(-2)) ± √(-2)² - 4 x (-26)) / 2 = (2 ± √108) / 2 = 1 ± 5.2

y = 6.2 or y = -4.2

P (1 , 6.2) or P ( 1 , -4.2)

To find the possible coordinates of vertex C of an equilateral triangle with side AB on the coordinate plane, we calculate the midpoint of AB and use the length of the altitude to find two possible positions for C, approximated as (1, 6.2) and (1, -4.2).

Vanessa draws one side of an equilateral triangle on the coordinate plane at points A(-2, 1) and B (4, 1). To find the possible coordinates of vertex C, we first recognize that in an equilateral triangle, all sides are of equal length, and the altitude forms a 60-degree angle with the base.

Given points A(-2, 1) and B(4, 1), the distance AB is 6 units. Using the Pythagorean theorem in a 30-60-90 right triangle, the length of the altitude (half of the triangle height) from the midpoint of AB to C is 3√3. To find coordinate C, we add and subtract this distance from the midpoint of AB, which we calculate as ((-2 + 4)/2, (1 + 1)/2) = (1, 1).

Thus, the two possible coordinates for C are (1, 1 + 3√3) and (1, 1 - 3√3), which approximately are (1, 6.2) and (1, -4.2), rounding to the nearest tenth.

The scale factor is some number between 0 and 1 (not including either endpoint) because the image is smaller than the preimage.

Triangle ABC is the preimage, or the "before"; while triangle A'B'C' is the image, which is the "after".

preimage ----> image

before ----> after

Answer:

he scale factor is some number between 0 and 1 (not including either endpoint) because the image is smaller than the preimage.

Triangle ABC is the preimage, or the "before"; while triangle A'B'C' is the image, which is the "after".

Step-by-step explanation: