Estimate 31,969 divided by 488. Round the numbers and the divide.

Answer: The correct answer is 5.

Step-by-step explanation: If 25% of the 20 dogs need a rabies shot the formula to solve the problem is .25 x 20.

.25 x 20 =5

Answer:

x = 10

Step-by-step explanation:

8 + x =  6

11 + x     7

Cross Multiply

6(11 + x) = 7(8 + x)

66 + 6x = 56 + 7x

10 = x

The number that needs to be added to the numerator and denominator of 8/11 to result in 6/7 is 10.

The subject of the question is Mathematics, specifically algebra and fractions. We can represent the student's problem with an equation, where x stands for the unknown number to be added to the numerator and denominator of 8/11 to get 6/7.

The initial fraction is 8/11 and the desired fraction is 6/7. Hence, we can translate this problem into the equation: (8 + x)/(11 + x) = 6/7. By cross-multiplying to eliminate the fractions, we get: 7(8 + x) = 6(11 + x). Simplified, this equation becomes 56 + 7x = 66 + 6x. Solving for x, we subtract 6x from both sides: x = 66 - 56, so x = 10.

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Answer:

B and E

Step-by-step explanation:

When the probability of an event is;

In this case event E, with probalility of P(E)=1/2 and event B with probability P(B)=0.49  have the probability neither unlikely nor likely

D. 360 cm squared

Explanation:

Multiply each faces edges.

18x7(WxL)

3x6(HxW)

3x18(HxL)

multiply each equations answer by 2, because the opposite face is the same.

108x2=216

18x2=36

54x2=108

add these together to get 360 cm squared.

The surface area of the box is 360 cm².

To find the surface area of the rectangular prism, we need to find the areas of all the sides and add them together.

The formula to find the surface area is:

Surface Area = 2lw + 2lh + 2wh

Plugging in the given dimensions:

Surface Area = 2(18)(6) + 2(18)(3) + 2(6)(3) = 216 + 108 + 36 = 360 cm²

Therefore, the surface area of the box is 360 cm², which is option D.

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Answer:

a =20.48

b = 14.34

Sin(55) = 0.8192

Step-by-step explanation:

Points to remember

Sinθ = Opposite side/Hypotenuse

Cosθ = Adjacent side/Hypotenuse

From the given figure we can see a right angled triangle.

One angle is given 35° and one side = 25

To find the value of a and b

Sin 35 = Opposite side/Hypotenuse = b/25

b = 25 * Sin 35 = 25 * 0.5735 = 14.34

Cos 35 = Adjacent side/Hypotenuse = a/25

a = 25 * Cos 35 = 25 * 0.8192 = 20.48

To find the value of sin 55

Sin(55) = opposite side/Hypotenuse =a/25 = 20.48/25 = 0.8192

Answer:

smaller number :30

larger number : 35

Step-by-step explanation:

Answer: distance traveled since leaving Bay Town; x ≥ 0

Step-by-step explanation: ^^ USATestPrep the answer is D

Answer:

[tex]\large\boxed{y=\dfrac{8}{5}x-3}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points M(5, 5) and N(-10, -19). Substitute:

[tex]m=\dfrac{-19-5}{-10-5}=\dfrac{-24}{-15}=\dfrac{8}{5}[/tex]

We have the equation:

[tex]y=\dfrac{8}{5}x+b[/tex]

Put the coordinates of the point M to the equation:

[tex]5=\dfrac{8}{5}(5)+b[/tex]

[tex]5=8+b[/tex]        subtract 8 from both sides

[tex]-3=b\to b=-3[/tex]

Finally we have the equation:

[tex]y=\dfrac{8}{5}x-3[/tex]

Answer:

y = 10

Step-by-step explanation:

2x + y = 24

2(7) + y = 24

14 + y = 24

-14        -14

y = 10

Answer:

The Answer is 10

Step-by-step explanation:

2x + y =24

2 * 7 + 10 + 14

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Answer:

(x + 6)(x - 2)

Step-by-step explanation:

To factor the quadratic

Consider the factors of the constant term (- 12) which sum to give the coefficient of the x- term ( + 4)

The factors are + 6 and - 2 since

+ 6 × - 2 = - 12 and + 6 - 2 = + 4, hence

x² + 4x - 12 = (x + 6)(x - 2)

The equivalent expressions  of -36x+54y-90 are -18(2x - 3y + 5), 18(-2x + 3y - 5), and -2(18x - 27y + 45). So options (2), (4) and (5) are correct.

To determine which expressions are equivalent to -36x + 54y - 90, we'll distribute the coefficients and compare the resulting expressions.

Let's start by distributing each expression:

1. -9(4x - 6y - 10) = -36x + 54y + 90

2. -18(2x - 3y + 5) = -36x + 54y - 90

3. -6(6x + 9y - 15) = -36x - 54y + 90

4. 18(-2x + 3y - 5) = -36x + 54y - 90

5. -2(18x - 27y + 45) = -36x + 54y - 90

6. 2(-18x + 54y - 90) = -36x + 108y - 180

Among these, expressions 2, 4, and 5 result in the same expression as -36x + 54y - 90.

Expression 2 is -18(2x - 3y + 5), expression 4 is 18(-2x + 3y - 5), and expression 5 is -2(18x - 27y + 45).

Therefore, the equivalent expressions are -18(2x - 3y + 5), 18(-2x + 3y - 5), and -2(18x - 27y + 45).

Answer: [tex]\bold{y\sqrt[3]{x}}[/tex]

Step-by-step explanation:

[tex]\sqrt[6]{x^2y^6} =x^{\frac{2}{6}}y^{\frac{6}{6}}=x^{\frac{1}{3}}y=\boxed{y\sqrt[3]{x} }[/tex]

Median income improves as degree of educational attainment increases. (B)

The answer is B) median income

The stem and leaf plot below could not represent "the weight of phonebooks, in pounds".

The stem-and-leaf plot you've provided represents a dataset, but without specific labels for the data points, it's challenging to definitively assign the plot to a particular category. However, we can analyze the options you've provided.

1. **Average number of inches of rain in June:** The data points don't seem to represent rainfall values. Rainfall would typically be measured in fractions or decimals, not whole numbers like 33.

2. **Height of plant seedlings, in inches:** This is a possibility, especially if the numbers represent the height of seedlings in inches. The decimal point represented by the key (3 | 5 means 3.5) supports this interpretation, indicating a measurement in inches.

3. **Weight of phonebooks, in pounds:** Phonebook weights are usually measured in pounds or ounces. The given numbers do not correspond to common weights and are unlikely to represent phonebook weights.

4. **Height of NBA basketball players, in meters:** NBA player heights are typically measured in feet and inches, not meters. Additionally, the provided numbers do not align with typical heights of NBA players.

Given the context of the data and the presence of the decimal point in the key, it's most likely that the stem-and-leaf plot represents the **height of plant seedlings, in inches.** This interpretation is consistent with the format of the data and the provided key, suggesting measurements in inches.

So, the correct answer is "the weight of phonebooks, in pounds".

For more such questions on weight

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The first step in evaluating the expression is to perform the division 4 ÷ 4, following the order of operations (PEMDAS).

The first step when evaluating the expression 8 + 6 – 4 ÷ 4 + 2 is to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

Since there are no parentheses or exponents in this expression, we start with multiplication and division from left to right.

In this case, the first operation to perform is the division: 4 ÷ 4.

After completing the division, we then proceed with addition and subtraction from left to right.

Final answer:

When evaluating an expression like 8 + 6 – 4 ÷ 4 + 2, the first step is to follow the order of operations by performing division and multiplication before addition and subtraction, resulting in a final answer of 12.

Explanation:

The first step when evaluating the expression 8 + 6 – 4 ÷ 4 + 2 is to follow the order of operations. This means performing division and multiplication before addition and subtraction.

Divide: 4 ÷ 4 = 1

Multiply: 1 × 2 = 2

Addition and Subtraction: 8 + 6 - 2 = 12

Therefore, the result of the expression 8 + 6 – 4 ÷ 4 + 2 is 12.

It's asking you to find the distance measurement of  ADB

angle 1 or AD = 100 degrees

angle BC or 3 = 30 degrees

Hope this helps!

First you need to calculate the circumference of the circle:

Circumference = diameter x PI =  16 x PI = 16 * 3.14 = 50.24

The intercepted arc is 15 degrees.

To find the length multiply the circumference by the central angle divided by 360.

Arc length = 50.25 x (15/360) = 2.1 units.

Answer:

6 bags

Step-by-step explanation:

How I got this answer was by thinking of gcf ( greatest common factor). So first you would divided 18 and 12 by 2 to get 9 and 6 then you divided those to by3 to get 3 and 2 and beacuse you can't go and into 3 equally you will multiply 2 and 3 to get 6

Answer:

[tex]S.A=160cm^2[/tex]

Step-by-step explanation:

The surface area of a rectangular prism is given by the formula;

[tex]S.A=2(lw+lh+wh)[/tex]

From the diagram;

The length is [tex]l=10cm[/tex].

The width is  [tex]w=5cm[/tex].

The height is  [tex]h=2cm[/tex].

Substitute these values into the formula to obtain;

[tex]S.A=2(10\times5+10\times2+5\times2)[/tex]

[tex]S.A=2(50+20+10)[/tex]

[tex]S.A=2(80)[/tex]

[tex]S.A=160cm^2[/tex]

Answer:

A= 28-16x       B+= 21y

Step-by-step explanation:

For A you use distributive properties to get your answer and for B since they all have the same variable you can add them like regular addition.

Answer:

Step-by-step explanation:

What is the sum of the series 5^n from n=1 to 4.

5^1 + 5^2 + 5^3+ 5^4 =

5 + 25 + 125 + 625 =780

Answer:

The quadrilateral is a SQUARE.

Step-by-step explanation:

Given

Four points

A(4,1)  

B(1,5)

C(-3,2)

D(0, -2)

The quadrilateral formed will be ABCD with sides AB, BC, CD, AD. In order to prove if a quadrilateral is a square we have to prove that all sides of the quadrilateral are equal.

We will use the two-point distance formula to calculate lengths of sides of quadrilateral.

The distance formula:

d= √((x_2- x_1)^2+(y_2- y_1)^2  )

So, for side AB

AB= √((1- 4)^2+(5- 1)^2  )

= √((-3)^2+(4)^2  )

= √(9+16)

= √25

= 5 units

For BC

BC= √((-3- 1)^2+(2- 5)^2  )

= √((-4)^2+(-3)^2  )

= √(16+9)

= √25

= 5 units

For CD

BC= √((0-(-3))^2+(-2-2)^2  )

= √((0+3)^2+(-4)^2  )

= √(9+16)

= √25

= 5 units

For AD

AD= √((0-4)^2+(-2-1)^2  )

= √((-4)^2+(-3)^2  )

= √(16+9)

= √25

= 5 units

As all the sides are equal

AB=BC=CD=AD

= 5 units

So the quadrilateral is a square.

2 dot.

Answer:

The quadrilateral is a SQUARE.

Step-by-step explanation:

Given

Four points

A(4,1)  

B(1,5)

C(-3,2)

D(0, -2)

The quadrilateral formed will be ABCD with sides AB, BC, CD, AD. In order to prove if a quadrilateral is a square we have to prove that all sides of the quadrilateral are equal.

We will use the two-point distance formula to calculate lengths of sides of quadrilateral.

The distance formula:

d= √((x_2- x_1)^2+(y_2- y_1)^2  )

So, for side AB

AB= √((1- 4)^2+(5- 1)^2  )

= √((-3)^2+(4)^2  )

= √(9+16)

= √25

= 5 units

For BC

BC= √((-3- 1)^2+(2- 5)^2  )

= √((-4)^2+(-3)^2  )

= √(16+9)

= √25

= 5 units

For CD

BC= √((0-(-3))^2+(-2-2)^2  )

= √((0+3)^2+(-4)^2  )

= √(9+16)

= √25

= 5 units

For AD

AD= √((0-4)^2+(-2-1)^2  )

= √((-4)^2+(-3)^2  )

= √(16+9)

= √25

= 5 units

As all the sides are equal

AB=BC=CD=AD

= 5 units

So the quadrilateral is a square.

2 dot.

Step-by-step explanation:

Answer:

d = 0.7*t

Step-by-step explanation:

Given data,

  Time          Distance

   10                 7

   15                10.5

   20                 14

From analysis,

1) d1/t1 = 7/10 = 0.7

2) d2/t2 = 15/20 = 0.7

3) d3/t3 = 14/20 = 0.7

It can be analysed from the figure that, at every point d/t = 0.7

Therefore, the relationship between t and d is

d = 0.7*t

or

t = d/0.7  

Answer:

d=0.7t

Step-by-step explanation:

I just did the question on khan academy.

Answer:

(B) and (D)

Step-by-step explanation:

A box plot or boxplot is a method for graphically depicting groups of numerical data through their quartiles.

Also, we know that in a box plot, the center is measured in the form of median and the spread can be measured in the form of Interquartile range which can be calculated by calculating the value of the upper and lower quartiles.

Thus, the best measure to find the center of the data represented in box plot is median and the best measure to find the spread is Interquartile range.

Hence, options B and D  are correct.

The more appropriate measures of center and spread for this data set include the following;

B. Better measure of spread: interquartile range (IQR).

D. Better measure of center: median.

In Mathematics and Geometry, a median refers to the middle number (center) of a sorted data set, which is when the data set is either arranged in a descending order from the greatest to least or an ascending order the least to greatest.

Generally speaking, the median is a better measure of center and for this data set, it is equal to 8. Additionally, the more appropriate measure of spread for this data set is the interquartile range (IQR);

Interquartile range (IQR) of data set = third quartile - first quartile

Interquartile range (IQR) of data set = 14 - 6

Interquartile range (IQR) of data set = 8.

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[tex] - 8x + 4 = 2x - 9 - 10x[/tex]

[tex] - 8x - 2x + 10x = - 4 - 9[/tex]

[tex]0 = - 13[/tex]

impossible, so no solutions

Answer:

38 mochas

Step-by-step explanation:

Of the 20 drinks sold, 8 were mochas, so

8/20 = 0.4 = 40% of the drinks they sold were mochas.

If the sold 95 drinks, then 95(0.4) = 38 of them would be mochas if the proportion stays the same

I think c if not sorry have a good day

The approximate distance from the pool to the tennis courts is:

                    C)  3.35 miles

It is given that:

On a coordinate grid, a park is located at (3,0) ande the pool is located at (-3,3).

The tennis courts are the midpoint between the park and the pool.

This means that the distance from the pool to the tennis court is half the distance between the pool and the park.

The distance between pool and park is calculated by using the distance formula as follows:

[tex]Distance\ between\ pool\ and\ park=\sqrt{(3-(-3))^2+(0-3)^2}\\\\Distance\ between\ pool\ and\ park=\sqrt{(3+3)^2+(-3)^2}\\\\i.e.\\\\Distance\ between\ pool\ and\ park=\sqrt{6^2+3^2}\\\\i.e.\\\\Distance\ between\ pool\ and\ park=\sqrt{36+9}\\\\i.e.\\\\Distance\ between\ pool\ and\ park=\sqrt{45}\\\\i.e.\\\\Distance\ between\ pool\ and\ park=3\sqrt{5}\\\\i.e.\\\\Distance\ between\ pool\ and\ park=6.7082\ units[/tex]

Hence,

[tex]Distance\ from\ pool\ to\ tennis\ court=\dfrac{6.7082}{2}\\\\i.e.\\\\Distance\ from\ pool\ to\ tennis\ court=3.3541\ units[/tex]

Now, it is given that:

   1 unit= 1 mile

Hence, 3.3541 unit=3.3541 miles.

Hence, the answer is: Option: C

Answer:

1st Option is correct that is we get circle after slicing a right circular cylinder in small pieces.

Step-by-step explanation:

Given: Jamal Sliced aright circular cylinder into congruent pieces.

To find: Shape of Two-Dimensional plane section obtained after slicing.

We get congruent pieces only when we slice the cylinder parallel to its base at equal heights.

By doing this we get small pieces of cylinders of equal height and equal radius.

Base and top remains same that is circular in shape.

Therefore, 1st Option is correct that is we get circle after slicing a right circular cylinder in small pieces.

Final answer:

When a right circular cylinder is sliced into two congruent pieces vertically through its axis, the resulting cross-section is a rectangle. If it is sliced perpendicularly to the axis, the cross-section is a circle.

Explanation:

If Jamal slices a right circular cylinder into two congruent pieces, the two-dimensional plane section that could result from the slice depends on the orientation of the cut. If he slices the cylinder vertically straight through its axis, the resulting cross-section will be a rectangle. If the slice is perpendicular to the axis of the cylinder, the cross-section will be a circle. It is not possible for a pentagon, hexagon, or triangle to result from slicing a right circular cylinder unless the cut is not straight or the surface of the cylinder is modified in some non-standard way, which is not suggested by the question.

Answer:

40

Step-by-step explanation:

To find the least common denominator, you find the least common multiples of the denominators, which in this case is 20 and 8.

Tower method:

Start: |20, 8

4 |20, 8 -> 4 is a factor that 20 and 8 have in common

  5,   2   -> 20/4 = 5, 8/4 = 2, those numbers do not have a common factor.

4 * 5 * 2 = 40.

The fractions with 40 as its denominator is 6/40 and 45/40.

Answer:

[tex]\text{\bf{A.}}\quad b^8[/tex]

Step-by-step explanation:

It may be helpful to remember that an exponent signifies repeated multiplication:

  b¹⁰ = b·b·b·b·b·b·b·b·b·b . . . . . . . b is a factor 10 times

and

  b² = b·b . . . . . . . . . . . . . . . . . . . . b is a factor 2 times

Then the division can be simplified by using the denominator factors to cancel 2 of the numerator factors:

[tex]\dfrac{b\cdot b\cdot b\cdot b\cdot b\cdot b\cdot b\cdot b\cdot b\cdot b}{b\cdot b}=b\cdot b\cdot b\cdot b\cdot b\cdot b\cdot b\cdot b=b^8[/tex]

In terms of exponents, we write this as ...

[tex]\dfrac{b^{10}}{b^2}=b^{10-2}=b^8[/tex]

Answer:

A) b^8

Step-by-step explanation: