Bonita said that the product of 56 × 123 is 73. How can you tell that her answer is wrong?

Answer: 75%

Step-by-step explanation:

Height given :

69, 62, 73, 67, 63, 65, 73, 71, 70, 66, 59, 75

The total number of height given = 12

The height less than 73 are 69 , 62, 67 ,63 , 65 , 71 , 70 , 66 , 59

The total number of heights less than 73 = 9

Therefore : the percentage of these students who are shorter than 73 inches = total number of students shorter than 73/ total number of height x 100

= 9/12 x 100

= 75%

About 75% of the students are shorter than 73 inches. This was determined by counting the number of students shorter than 73 inches (9 students) and dividing by the total number of students (12 students), then multiplying by 100%

To calculate the percentage of students shorter than 73 inches, you first need to count how many students are shorter than 73 inches. From the given data, the heights of the students shorter than 73 inches are 69, 62, 67, 63, 65, 71, 70, 66, and 59. Thus, there are 9 students out of 12 who are shorter than 73 inches.

Now, to get the percentage, you divide the number of shorter students by the total number of students, and then multiply the result by 100. This is how it looks: (9/12)*100% = 75%. Thus, 75% of these students are shorter than 73 inches.

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Answer:

1540

Step-by-step explanation:

Add 718 and 822! Thanks

To find out how many people saw the play altogether, add the number of people who went on Friday and Saturday. The total number of people who saw the play is 1540.

To find out how many people saw the play altogether, we need to add the number of people who went on Friday and the number of people who went on Saturday.

On Friday, 718 people went to the school play. On Saturday, 822 people went.

To find the total number of people who saw the play, we add 718 and 822:

Total number of people = 718 + 822 = 1540

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Final answer:

After using 4 1/4 yards out of 5 3/4 yards of cloth to make curtains, 1 1/2 yards of cloth remain.

Explanation:

You are provided with 5 3/4 yards of cloth and you use 4 1/4 yards for making curtains. To find out how much cloth remains, you need to subtract the amount used from the total amount provided. You perform the subtraction by converting the mixed numbers to improper fractions or by subtracting the whole numbers and fractions separately.

First, subtract whole numbers:

Next, subtract the fractions:

Combine the whole number and the fraction for the final answer:

Step-by-step explanation:

firstly there is hole in the ozone

secondly i believe it is because of the axis of the earth and that the raidiation to coming to the equator not the poles

Answer:

the zeros as  x = 5 or x = -6 . SO the correct option is Option B.

Step-by-step explanation:

i) the zeros of any expression of f(x) is found by equating f(x) to zero and then solving for x.

ii) therefore to find the zeros ( or roots) of the given expression we can write f(x) = [tex]x^{2} + x - 30 = 0[/tex]

iii) therefore [tex]x^{2} + x - 30 = 0[/tex]   ⇒  [tex]x^{2} + 6x - 5x - 30 = 0[/tex]  .... from visual observation

 therefore we can write [tex]x( x + 6) -5(x + 6) = 0[/tex]    ⇒ [tex](x - 5)(x + 6) = 0[/tex]

 therefore either x - 5 = 0, or, x + 6 = 0 if the above equation is to be true.

iv) therefore solving for x we get the zeros as  x = 5 or x = -6. So the correct option is Option B.

Answer:

Therefore the zeros of

[tex]f(x)=x^{2}+x-30[/tex]

are

[tex]x=-6\ and\ x= 5[/tex]

Step-by-step explanation:

Given:

[tex]f(x)=x^{2}+x-30[/tex]

To Find:

Zeros of the  function.

Solution:

Zeros of Polynomial or function:

Zeros of the polynomial means while substituting the value of X in the polynomial you will get the value of the polynomial or function equals to Zero.

Hence to find a value of zeros , the value of function should be zero.

Therefore,

f(x) =0

[tex]x^{2}+x-30=0[/tex]

To find the value of 'x' we need to factorize the above quadratic equation.

First is to remove the factor of -30 such that  when you add the factors you should get one.

-30 = 6 × -5

6 - 5 = 1

Hence by splitting the middle term we get

[tex]x^{2}+6x-5x-30=0\\x(x+6)-5(x+6)=0\\(x+6)(x-5)=0\\x+6=0\ or\ x-5=0\\x=-6\ or\ x=5[/tex]

Therefore the zeros of

[tex]f(x)=x^{2}+x-30[/tex]

are

[tex]x=-6\ and\ x= 5[/tex]

Answer:

(x-8)/10

Step-by-step explanation:

-------

(X - 8)/10 or (8 -X)/10

The unknown number can be given as X

The difference between the number and 8 can be given as 8 -X or X - 8

The dividing it by 10 will give (x-8)/10 or (8-x)/10 depending on the value of the unknown number X

Answer:

67000*.15=10,050

Step-by-step explanation:

The required down payment would be the amount of $10,050.

The percentage is defined as a ratio expressed as a fraction of 100.

Anna wants to buy a house for $67,000.

She will need a down payment of 15%.

We have to determine the evaluation of 15% of $67,000.

⇒ 15% of 67,000

15%  is expressed as 15/100 in fractional form

⇒ (15/100)(67,000)

15/100  is expressed as 0.15 in decimal form

⇒ (0.15)(67,000)

Apply the multiplication operation, and we get

⇒ 10,050

Therefore, the down payment would be $10,050.

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Answer:

133%

Step-by-step explanation:

24/18=4/3=1.33...=133%

Answer:

75%

Step-by-step explanation:

because it = 18/24 or 75%

Answer:

  13/10

Step-by-step explanation:

13/10 = 1.30 is a number between 1.25 and 1.50.

Answer:

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}x-3y=15\\3x-9y=45\end{array}\right\\\\\text{Divide both sides of the second equation by 3}\\\\\dfrac{3x}{3}-\dfrac{9y}{3}=\dfrac{45}{3}\\\\x-3y=15\\\\\text{We received the same equation as the first.}\\\\\bold{CONCLUSION}\\\\\text{The system of equations has infinitely many solutions.}[/tex]

[tex]\left\{\begin{array}{ccc}a_1x+b_1y=c_1\\a_2x+b_2x=c_2\end{array}\right\\\\\text{If}\ a_1=a_2,\ b_2=b_2,\ c_1=c_2,\ \text{then the system of equations}\\\text{ has infinitely many solutions}\\\\\text{If}\ a_1=a_2,\ b_1=b_2,\ c_1\neq c_2,\ \text{then the system of equations}\\\text{has no solutions}\\\\\text{Other the system of equations has one solution.}[/tex]

Answer:

[tex]x=-50[/tex]

Step-by-step explanation:

we have

[tex]\frac{x}{5} =-10[/tex]

Solve for x

That means ----> isolate the variable x

Multiply by 5 both sides to remove the fraction

[tex]\frac{x}{5}(5) =-10(5)[/tex]

Simplify

[tex]x=-50[/tex]

The value of k is 8

Solution:

Given that,  points (9, 9) and (10, k) fall on a line with a slope of -1

To find: value of "k"

The slope of a line with points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given as:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Here given that,

slope = m = -1

[tex](x_1, y_1) = (9, 9)\\\\(x_2, y_2) = (10, k)[/tex]

Substitute the values in formula, and solve to get value of k

[tex]m = \frac{k-9}{10-9}\\\\-1 = \frac{k-9}{10-9}\\\\-1 = \frac{k-9}{1}\\\\k-9 = -1\\\\k = -1+9\\\\k = 8[/tex]

Thus the value of k is 8

The volume of a sphere with a radius of 3 inches is [tex]\(36 \pi\)[/tex] cubic inches. Therefore, the correct option is [tex]\(36 \pi\)[/tex] cubic inches.

The volume V of a sphere with radius r is given by the formula:

[tex]\[ V = \frac{4}{3} \pi r^3 \][/tex]

Given that the radius r is 3 inches, we can substitute this value into the formula:

[tex]\[ V = \frac{4}{3} \pi (3)^3 \]\[ V = \frac{4}{3} \pi (27) \]\[ V = \frac{4}{3} \times 27 \times \pi \]\[ V = 36 \pi \][/tex]

So, the volume of the sphere is [tex]\( 36 \pi \)[/tex] cubic inches.

Therefore, the correct option is: [tex]\( 36 \pi \)[/tex] cubic inches.

Complete Question:

The radius of a sphere is 3 inches. Which represents the volume of the sphere?

[tex]$12 \pi$[/tex] cubic inches

[tex]$36 \pi$[/tex] cubic inches

[tex]$64 \pi$[/tex] cubic inches

[tex]$81 \pi$[/tex] cubic inches

Option A and Option B are correct answers.

Step-by-step explanation:

Option a: Diego's teacher writes a test worth 100 points. There are 6 more multiple choice questions than short answer questions.

Reason:

Let x denote the multiple choice questions.

Let y denote the short answer questions.

It is given that there are 6 more multiple choice questions than short answer questions and writing it as equations,

[tex]y=x+6[/tex]

Also, given that Diego's teacher writes a test worth 100 points and writing it as equations,

[tex]x+y=100[/tex]

Option b: Lin and her younger cousin measure their heights. They notice that Lin is 6 inches taller, and their heights add up to exactly 100 inches.

Reason:

Lin is represented by the variable y.

Her younger cousin is represented by the variable x.

It is given that Lin is 6 inches taller and writing it as equation, we get,

[tex]y=x+6[/tex]

Also, given that their heights add up to exactly 100 inches and thus, writing it as equation, we get,

[tex]x+y=100[/tex]

Thus, Option a and Option b represent the same system of equations. Hence, both story can be represented by the system of equations.

The story that can be represented with the system of equations is story B.

Description of simultaneous equations

Simultaneous equations are a set of two or more equations that have to be solved together in order to determine the needed values.

If Lin is 6 inches taller than her cousin, if Lin's height is represented with y and her cousin's height is represented with x, then the equation is: y = x + 6. If the sum of their ages is 100, this can be represented with: x + y = 100.

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800/85 = 9.411764705882353‬ inches

ans = 9.411764705882353‬ inches

Answer:

9.41 inches to the nearest hundredth.

Step-by-step explanation:

By proportion it is 800 / 85

= 9.41 inches.

Answer:

6 seconds

Step-by-step explanation:

1/12 mile * 5280 feet/mile = 440 feet per train

50 miles/hour * 1/3600 hr/sec * 5280 ft/mile = 73 1/3 ft/second

one train has to travel 440 feet to pass the other train

440 feet * 1/(73 1/3) sec/ft = 6 seconds

The time it will take for the two trains to pass each other's rear car is 6 seconds.

The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.

[tex]\rm{Speed = \dfrac{Distance}{Time}[/tex]

Two passenger trains travelling in opposite directions meet and pass each other. Each train is 1/12 miles long and is traveling 50 mph.

Therefore, the total distance that the two train needs to cover is twice the size of a train.

Distance = 2 × 1/12miles = 1/6 miles

Also, the relative speed of the two trains moving in opposite directions is,

Speed = 50 mph + 50 mph = 100 mph

Now, the time that the two trains need to cover the entire distance is,

Time = (1/6 miles)/ 100mph = 1/600 hours

Converting the time to seconds,

Time = 1/600 hours × 3600 = 6 seconds

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Answer:

y = - [tex]\frac{2}{3}[/tex] x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Rearrange 2x + 3y = 6 into this form

Subtract 2x from both sides

3y = - 2x + 6 ( divide all 3 terms by 3 )

y = - [tex]\frac{2}{3}[/tex] x + 2 ← in slope- intercept form

Answer:

Step-by-step explanation:

Time taken = 9.77/100 = 0.0977 seconds

Answer:

Step-by-step explanation:

$3307.50

Final answer:

The weight of each bag of equal weight is 1 17/20 kg and the weight of the third bag is 1 41/20 kg.

Explanation:

Let's assume the weight of each bag of equal weight is x kg. According to the question, the third bag is heavier than each of the equal bags by 1 1/5 kg, which can be written as 6/5 kg.

So, the weight of the third bag is x + 6/5 kg.

Now, we can set up an equation based on the given information:

2x + (x + 6/5) = 6 3/4

Simplifying the equation, we get:

3x + 6/5 = 27/4

Now, we can solve for x by multiplying both sides of the equation by 5 to get rid of the fraction:

15x + 6 = 135/4

15x = 135/4 - 6

15x = 135/4 - 24/4

15x = 111/4

Now, divide both sides of the equation by 15 to solve for x:

x = (111/4) / 15 = 111/60 = 37/20 = 1 17/20

Hence, the weight of each bag of equal weight is 1 17/20 kg and the weight of the third bag is 1 17/20 + 6/5 = 1 17/20 + 24/20 = 1 41/20 kg.

Answer:

[tex]\left[\begin{array}{ccc}-25&\dfrac{75}{2}&-\dfrac{25}{2}\end{array}\right][/tex]

Step-by-step explanation:

In the first equality

[tex]5\times \left[\begin{array}{cc}-1&2\\4&8\end{array}\right] =\dfrac{2}{5}m\times \left[\begin{array}{cc}-1&2\\4&8\end{array}\right],[/tex]

the matrices in both parts are the saem. The equality will be true if the same matrices are multiplied by the same numbers, so

[tex]5=\dfrac{2}{5}m\Rightarrow m=5\times \dfrac{5}{2}=\dfrac{25}{2}[/tex]

For the second equality

[tex](H+[1\ 4\ -2])+[3\ 2\ -6]=[-2\ 3\ -1]+([1\ 4\ -2]+[3\ 2\ -6]),[/tex]

if [tex]H=[-2\ 3\ -1][/tex], then this equality represents the assotiative property of matrix addition.

Hence,

[tex]m\times H=\dfrac{25}{2}\times [-2\ 3\ -1]=\left[\begin{array}{ccc}-25&\dfrac{75}{2}&-\dfrac{25}{2}\end{array}\right][/tex]

Answer:

1.509909034 x10 ^36

Step-by-step explanation:

10 plus 18 is 28

Then you would multiply 28 by 25 numbers of itself.

Answer:

c

Step-by-step explanation:

c

Answer:

distributive property

Dist. can be identified by x(y+z)

it had to be b cuz now all quadrilateral have straight sides

she drinks 9/2 ounces of water in 1 hour

Step-by-step explanation:

On average, the person drinks 1/2 of a 6-ounce glass of water in 2/3 hour.

First of all, we have to rewrite the amount of water in a single fraction: we have

[tex]\frac{1}{2}\cdot 6 = \frac{6}{2}=3[/tex]

This means that the person drinks 3 ounces of water every 2/3 hours.

In order to find how much water she drinks in one hour, we use the following proportion:

[tex]\frac{3}{2/3}=\frac{x}{1}[/tex]

where

x is the amount of water she drinks in one hour.

Solving the equation for x,

[tex]x=\frac{3\cdot 1}{2/3}=\frac{3\cdot 1 \cdot 3}{2}=\frac{9}{2}[/tex]

Therefore, she drinks 9/2 ounces of water in 1 hour.

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Answer:

Step-by-step explanation:

14 strikes out of 70 attempts.....what percent were strikes ?

14/70 = 0.2

to turn a decimal to a percent, either multiply by 100 or move the decimal point 2 spaces to the right.

0.2 * 100 = 20% <==== strikes

Answer:

20%

Step-by-step explanation:

Final answer:

To determine if a triangle can be formed given three side lengths, apply the triangle inequality theorem by comparing the sum of any two sides to the length of the remaining side. Option B and option D would give triangles.

Explanation:

To determine if a triangle can be formed given the measures of three sides, we need to apply the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side.

Let's examine each given set of side lengths:

A. 2cm, 4cm, 8cm: In this case, 2cm + 4cm = 6cm, which is less than 8cm. So, a triangle cannot be formed with these side lengths.

B. 3cm, 4cm, 6cm: Here, 3cm + 4cm = 7cm, which is greater than 6cm. The sum of any two sides is always greater than the third side, so a triangle can be formed with these side lengths.

C. 4cm, 5cm, 10cm: In this case, 4cm + 5cm = 9cm, which is less than 10cm. So, a triangle cannot be formed with these side lengths.

D. 5cm, 6cm, 12cm: Here, 5cm + 6cm = 11cm, which is greater than 12cm. The sum of any two sides is always greater than the third side, so a triangle can be formed with these side lengths.

Therefore, option B (3cm, 4cm, 6cm) and option D (5cm, 6cm, 12cm) would give triangles.