Ben sharpened 5 pencils he has 8 more unsharpened pencils than sharpened. How many unsharpened pencils does Ben have?​

set Up a ratio:

2 inches / 45 miles = x inches / 315 miles

Solve for x

Cross multiply:

45x = 630

Divide both sides by 45

X = 630 /45

X = 14 inches apart

Answer:

x = 17

Step-by-step explanation:

Since the triangles are congruent

<I = <P

3x+4 = 72-x

Add x to each side

3x+4+x = 72-x+x

4x+4 = 72

Subtract 4 from each side

4x+4-4 = 72-4

4x = 68

Divide each side by 4

4x/4 = 68/4

x = 17

Like terms are terms that have the same variable and power/exponent.

-4q - (-8q) + 10   (two negative signs cancel each other out and become positive)

-4q + 8q + 10     The only like terms you can combine are -4q and 8q, because they have the same variable of q and an exponent of 1.

4q + 10        (this is as far as you can simplify)

y = |x|

This is absolute value because it's a v-shape.

Possible mistakes in Joan's bar chart could be incorrect scale, inaccurate labeling, and inconsistent bar lengths. Correcting these errors would make the chart a more accurate representation of the temperature data.

Without the specific bar chart, it is difficult to identify Joan's mistakes, but possible errors in a bar chart depicting temperatures could be the following:

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Slope intercept form is y = mx + b.

y + 6 = 1/3(x - 9)

y + 6 = 1/3x - 3

y = 1/3x - 9

Hope this helps!! :)

Answer:

[tex]y = 1/3x - 9[/tex]

Step-by-step explanation:

Step 1:  Rewrite in slope-int form

[tex]y + 6 = 1/3(x - 9)[/tex]

[tex]y + 6 = 1/3x - 3[/tex]

[tex]y + 6 - 6 = 1/3x - 3 - 6[/tex]

[tex]y = 1/3x - 9[/tex]

Answer:  [tex]y = 1/3x - 9[/tex]

All the segments that are parallel to GH in the given shape are, BC, AD and FI. Option A

How to identify all segments parallel to GH

To identify all segments parallel to GH, understand the basic structure of a cuboid and its faces.

A cuboid is a three-dimensional shape with six rectangular faces. Each face of the cuboid is parallel to the opposite face. This property allows us to identify segments that are parallel to each other within the cuboid.

To identify segments parallel to a specific segment in a cuboid, follow these steps:

Understand the orientation of the cuboid:

Visualize the cuboid and identify its three pairs of opposite faces. These faces are parallel to each other.

Identify the given segment:

Determine the specific segment in the cuboid to which you want to find parallel segments.

In this case GH

Locate the faces that contain the given segment:

Identify the faces that contain the given segment. These faces will be parallel to each other.

Based on the highlighted steps above, by visualization,

Segment BC is parallel to GH

Segment AD is parallel to GH

Segment FI is parallel to GH

Therefore, all the segments that are parallel to GH are, BC, AD and FI. Option A

Answer:

i believe its 1/6

Step-by-step explanation:

The probability of guessing a 3-digit combination correctly, with no repetition, is 1 out of 720 option C.

To calculate the probability of getting a 3-digit combination correct where no digits can be repeated, you can use the concept of permutations.

For the first digit, you have 10 options (0 through 9). For the second digit, since no digit can be repeated, you have 9 options left. For the third digit, you have 8 options left.

So the total number of possible combinations is [tex]\(10 \times 9 \times 8 = 720\).[/tex]

Therefore, the probability of getting the correct combination is:

[tex]\[\frac{1}{720}\][/tex]

So, the correct answer is option C) 1/720.

Complete Question:

What is the probability that you will get a 3-digit combination correct if no digits in the combination can be repeated?

A) 1/10

B) 1/504

C) 1/720

25 years had temperatures within one standard deviation of the mean.

The term "standard deviation"  (or σ) refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

Given:

Data for the average daily temperature on January 1 from 1900 to 1934 for city A.

Mean u = 24°C

standard deviation σ = 4°C

Now, Interval for 1 standard deviation ( σ ):                                    

[ u - σ , u + σ ]

[ 24 - 4 , 24 + 4 ]

[ 20 , 28 ] °C

Now, determine the number of years the temperature T lied in the above calculated range: [ 20 , 28 ].

T1 = 20 , n1 = 2 years

T2 = 21 , n2 = 3 years  

T3 = 22 , n3 = 2 years

T4 = 23 , n4 = 4 years  

T5 = 24 , n5 = 3 years

T6 = 25 , n6 = 3 years  

T7 = 26 , n7 = 5 years

T8 = 27 , n8 = 2 years

T5 = 28 , n9 = 1 years

and, The total number of years:

∑ni = n1 + n2 + n3 + n4 + n5 + n6 + n7 + n8 + n9

=  2 + 3 + 2 + 4 + 3 + 3 + 5 + 2 + 1

= 25 years          

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Answer:

A polynomial is a combination of terms separated by + or - signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms.

The expression 7r - 6r^3 - 10r^4 is a polynomial because it consists of terms with variables raised to non-negative integer exponents.

The expression 7r - 6r3 - 10r4 is a polynomial because it is a mathematical expression consisting of terms with variables raised to non-negative integer exponents.

A polynomial is an algebraic expression made up of one or more terms, where each term has a coefficient and a variable raised to a non-negative integer exponent. In this case, the expression has three terms: 7r, -6r3, and -10r4. The variable in the expression is 'r', and each term is raised to a non-negative integer exponent.

Therefore, the expression 7r - 6r3 - 10r4 is a polynomial.

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Answer:

[tex]\frac{2 CM}{7 M} = \frac{15 CM}{X M}[/tex]

Step-by-step explanation:

I did the assignment.

The side length (x) of the enlarged square in meters has a scale factor will be 52.5 meters.

Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.

Tomás is enlarging a square with a side length of 15 cm using this scale factor and scale drawing.

Scale factor = 2 centimeters: 7 meters. A square with side lengths of 15 centimeters.

Let x be the dilated length.

Then we have

[tex]\rm \dfrac{15}{x} = \dfrac{2}{7}\\\\x \ \ = 52.5[/tex]

More about the dilation link is given below.

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Answer:

she will jog 660

Step-by-step explanation:

(100+65)×2=1 lap

330×2=2 laps (660yards)

Final answer:

Allyson will jog around the perimeter of the soccer field twice, which totals 660 yards.

Explanation:

Allyson is jogging around a soccer field that has dimensions of 100 yards long and 65 yards wide. To find out how far she will jog, we need to calculate the perimeter of the field and then multiply it by the number of times she jogs around it.

Calculating the Perimeter:

The perimeter P of a rectangle is given by P = 2(length + width). In this case:

So the perimeter of the soccer field is:

P = 2(100 yards + 65 yards) = 2(165 yards) = 330 yards.

Total Distance Jogged:

Since Allyson jogs around the field twice, the total distance she will jog is:

Total Distance = Perimeter × Number of Laps = 330 yards × 2 = 660 yards.

Therefore, Allyson will jog a total distance of 660 yards.

31. the minimum perimeter of the rectangle is ( 38 ) inches.

32.the maximum perimeter is ( 170 ) inches.

To find the minimum and maximum perimeter of the rectangle, we need to consider all possible combinations of length and width that yield an area of 84 square inches.

Given that the area of the rectangle is 84 square inches, we can find all the pairs of factors of 84. These pairs will represent the possible combinations of length and width.

The pairs of factors of 84 are:

1. [tex]\( 1 \times 84 \)[/tex]

2. [tex]\( 2 \times 42 \)[/tex]

3. [tex]\( 3 \times 28 \)[/tex]

4. [tex]\( 4 \times 21 \)[/tex]

5. [tex]\( 6 \times 14 \)[/tex]

6. [tex]\( 7 \times 12 \)[/tex]

Now, we calculate the perimeter for each pair:

1. [tex]\( \text{Perimeter} = 2 \times (1 + 84) = 2 \times 85 = 170 \)[/tex]

2. [tex]\( \text{Perimeter} = 2 \times (2 + 42) = 2 \times 44 = 88 \)[/tex]

3. [tex]\( \text{Perimeter} = 2 \times (3 + 28) = 2 \times 31 = 62 \)[/tex]

4.[tex]\( \text{Perimeter} = 2 \times (4 + 21) = 2 \times 25 = 50 \)[/tex]

5.[tex]\( \text{Perimeter} = 2 \times (6 + 14) = 2 \times 20 = 40 \)[/tex]

6.[tex]\( \text{Perimeter} = 2 \times (7 + 12) = 2 \times 19 = 38 \)[/tex]

Therefore, the minimum perimeter of the rectangle is ( 38 ) inches, and the maximum perimeter is ( 170 ) inches.

Answer:

U=30

W=2.25

tho I’m not sure about v

Answers:

U: 5 + 13 + 12 = 30 cm

V: 8 + 7 + 4 + 3,5 = 22,5 ft

W: 2 1/8 + 6 3/4 + 2 = 2 + 0,125 + 6 + 0.75 + 2 = 10,875 mm

Answer:

Therefore Joe is taller than the height of the tepee.

Step-by-step explanation:

Cone:

Given that,

A cone shaped tepee has a radius of 4 feet and slant height of 7 feet.

The height of the cone is  [tex]=\sqrt{slant\ height ^2- radius^2[/tex]

                                           [tex]=\sqrt{7^2-4^2}[/tex]feet

                                          [tex]=\sqrt{33}[/tex] feet

                                          ≈5.74 feet

Given that, Joe is 6 feet tall.

Since 6 feet> 5.74 feet

Therefore Joe is taller than the height of the tepee.

Answer: Joe is taller than the tepee

Answer:

A 13

Step-by-step explanation:

8 families own 2 pets

4 families own 3 pets

1 family owns 4 pets

8+4+1 = 13

13 families owns between 2 and 4 pets

Weight of each rock is 14.8 ounces.

Step-by-step explanation:

Given,

Total number of rocks = 10

6 rocks weigh 10 ounce each

4 rocks weigh 22 ounce each.

To find the the weight of each rock.

Now,

Weight of 6 rocks = 10×6 ounces = 60 ounces

Weight of 4 rocks = 22×4 ounces = 88 ounces

So,

Weight of 10 rocks = 88+60 = 148 ounces

Hence,

Weight of each rock = 148÷10 = 14.8 ounces.

Answer:  6 oz.

Step-by-step explanation:

Just did it.

Answer:

Chair $280

Loveseat $560

Couch $ 1,160

Step-by-step explanation:

chair = x

loveseat=2x

couch = 2x + 600

x +2x + 2x +600 = 2000

5x + 600 =2000 subtract 600 from both sides

5x =1400 divide by 5

x = $280

Chair is the value of x =$280

Loveseat is twice the value of x = 2 x $280 =$560

Couch is twice the value of x plus $600 = $560 + $600

The cost of a chair, the cost of a loveseat, and the cost of a couch are $280, $560, and $1,160 respectively.

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

Emily purchased a couch, loveseat, in the chair for $2000.

The Loveseat cost twice as much as the chair, and the couch cost $600 more than the love seat.

Let

The cost of the chair is x, then the loveseat is 2x and the cost of the couch is 2x + 600.

Then

The sum of the cost of the chair, loveseat, and couch is $2000.

[tex]x + 2x + 2x + 600 = 2000\\[/tex]

On simplifying, we have

x = 280

Then

The cost of the chair = x = $280.

The loveseat = 2x = 2(280) = $560

The cost of the couch = 2x + 600 = 2(280) + 600 = $1,160

Thus, the cost of the chair, loveseat, and couch is $280, $560, and $1,160 respectively.

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Answer:

x=87 degrees

Step-by-step explanation:

Answer:

The answer is 87 degrees.

Step-by-step explanation:

All angles in a triangle add up to 180 degrees

37 + 56 = 93

180 - 93 = 87

Answer:

Attached graph

Step-by-step explanation:

Since all the six balls have same weight and the total weight is given as 273g, then weight of one ball will be

273/6=45.5 g

1 ball=45.5 g

2 balls =2*45.5=91 g

3 balls =3*45.5=136.5 g

4 balls=4*45.5=182 g

5 balls =5*45.5=227.5 g

6 balls =6*45.5=273 g

Since the graph to select is not given, I attached ny own sketch. Any other graph with these corresponding figures in x and y axis as indicated will be correct.

Answer:

A

Step-by-step explanation:

Since all the six balls have same weight and the total weight is given as 273g, then weight of one ball will be

273/6=45.5 g

1 ball=45.5 g

2 balls =2*45.5=91 g

3 balls =3*45.5=136.5 g

4 balls=4*45.5=182 g

5 balls =5*45.5=227.5 g

6 balls =6*45.5=273 g

Since the graph to select is not given, I attached ny own sketch. Any other graph with these corresponding figures in x and y axis as indicated will be correct.

Answer:

[tex]-\frac{11}{12}[/tex]

Step-by-step explanation:

[tex]\frac{5}{8} +\frac{3}{4} =\frac{11}{8} \\\\\frac{11}{8}=1.375\\\\\frac{-2}{3} -\frac{5}{6} =-\frac{3}{2} \\\\-\frac{3}{2}=-1.5\\\\\frac{1.375}{-1.5} =-\frac{11}{12}[/tex]

We'll split this up between the numerator and denominator.

Numerator:

5/8 + 3/4

Step 1) Make all of the denominators the same

5/8 + 6/8

Step 2) Add the numerators together

11/8

Denominator:

-2/3 - 5/6

Step 1) Make all of the denominators the same

-4/6 - 5/6

Step 2) Subtract the numerators

-9/6

Now we have (11/8) / (-9/6). Dividing fractions is the same as multiplying by the reciprocal.

11/8 x -9/6

-99/48

-2 3/48

-2 1/16

Hope this helps! :)

Answer:

im pretty sure its median

Step-by-step explanation:

Mean and median can be used to describe two data sets that are both symmetric.

An observation that differs abnormally from other values in a population-based random sample is referred to as an outlier. In a way, this definition defers to the analyst's (or a consensus process') judgement as to what constitutes aberrant behaviour.

Given:

Two symmetric data sets are described by the following measure of centre:

The mean and median are two numerical measures of centre that, if the distribution is symmetric, can determine the centre as the average value; otherwise, the median can be employed because it is not robust against outliers.

For example : Height of 3 students in 70, 72, 74

Mean of students= (70 +72+ 74)/ 3 = 72

and, median = 72

Hence, mean and median can be used.

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Step-by-step explanation:

left side X°=33(i.e 75+72+x=180)

left side down x°= 60°

right side=145°

right side down= 124

For PLATO Users here is the correct matching

Answer:

The correct answer is A!!

Step-by-step explanation:

Answer:

the first one

Step-by-step explanation:

a

Answer:

1. 48x + 24= 24(2x + 1)

2. 18n + 36= 18(n + 2)

3. 15 + 12k= 3(5+4k)

Step-by-step explanation:

1. What factor both goes into 24 and 48? 24 does!

so, 48x + 24= 24(2x + 1).

2. What factor both goes into 18 and 36? 18 does!

so, 18n + 36= 18(n + 2).

3. What factor both goes into 15 and 12? 3 does!

so, 15 + 12k= 3(5+4k).

Final answer:

The distributive property allows us to create equivalent expressions by factoring out a common factor from each term, resulting in expressions like 24(2x + 1), 18(n + 2), and 3(5 + 4k) for 48x + 24, 18n + 36, and 15 + 12k respectively.

Explanation:

To use the distributive property to write equivalent expressions for each of the following:

48x + 24: Both terms are divisible by 24. Therefore, the equivalent expression using the distributive property is 24(2x + 1).

18n + 36: Both terms are divisible by 18. Therefore, the equivalent expression using the distributive property is 18(n + 2).

15 + 12k: Both terms are divisible by 3. Therefore, the equivalent expression using the distributive property is 3(5 + 4k).

In each case, identifying the common factor and using it to factor out the original expression creates an equivalent expression where the terms inside the parenthesis are the results of dividing the original terms by the common factor.

Answer:

x = 12

Step-by-step explanation:

By property of intersecting secants outside of a circle:

[tex]x \times 15 = 20 \times 12 \\ x = \frac{20 \times 12}{15} \\ x = \frac{20 \times 3}{5} \\ x = 4 \times 3 \\ x = 12[/tex]

Segment JK is congruent to segment DE because they have the same length.

To determine if segment JK is congruent to segment DE, we need to compare their lengths. We can use the distance formula to find the length of each segment.

For segment JK, the coordinates are J(1, 4) and K(-6, -8). Using the distance formula, we have:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
  = sqrt((-6 - 1)^2 + (-8 - 4)^2)
  = sqrt((-7)^2 + (-12)^2)
  = sqrt(49 + 144)
  = sqrt(193)

For segment DE, the coordinates are D(3, 3) and E(-4, -9). Using the distance formula, we have:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
  = sqrt((-4 - 3)^2 + (-9 - 3)^2)
  = sqrt((-7)^2 + (-12)^2)
  = sqrt(49 + 144)
  = sqrt(193)

Since the lengths of segment JK and segment DE are both sqrt(193), they are congruent.

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Answer:is there a picture included in this promblem

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Answer:

Third Option

Step-by-step explanation:

sqrt(13 = 3.6055512754639893

3.6

Answer:

Radius: 12 in.

Circumference =

[tex]2\pi \: r[/tex]

= 2 x 3.14 x 12

= 75.36 in.

Radius: (12 - 4) in. = 8 in.

Circumference = 2 x 3.14 x 8

= 50.24 in.