Martha wants to make four necklaces that are the same length.She asked her friends to cut the string for the necklaces 15 paper clips long. Would all the lengths be the same? Explain your answer.

I'll do the first two problems (13 and 14) to get you started.

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Problem 13

I'm going to use square blocks instead of marbles. The same idea applies either way. I'm using blocks because they are easier to draw out.

Draw 9 square blocks that are connected end-to-end forming a long chain. Write O in the first four blocks to represent "orange". Write G in the remaining 5 blocks to represent "green". See figure 1 in the attached image below.

This diagram represents the fact that the orange and green blocks form a ratio of 4:5. There are 4 parts that are orange and 5 parts that are green.

If we have 6 rows of these blocks (see figure 2), then we'll have 6*5 = 30 green blocks overall. This leads to 6*4 = 24 orange blocks. So far we have 30+24 = 54 blocks that are green or orange.

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Let x be the total number of blocks

40% of the total x is the number of yellow

40% of x = 0.40*x

60% of x is the remaining number

0.60*x = 54

x = 54/0.60

x = 90

There are 90 blocks total

40% of 90 = 0.40*90 = 36 are yellow

60% of 90 = 0.60*90 = 54 are either green or orange

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Problem 14

Michael has 40 books. Susan has 50% more books than Michael. This means she has 1.5 times as many books

1.5*40 = 60

Susan has 60 books

If Michael buys 8 more books, then he will have 40+8 = 48, which is still less than 60. Susan still has more books.

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Let's compute the percentage difference

A = 48 is the amount of books Michael has

B = 60 is the amount Susan has

C = percent difference

C = 100*(B-A)/A

C = 100*(60-48)/48

C = 25%

Susan has 25% more books compared to Michael

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The expression which is equivalent to 40 divided by 1/4 is 40 × 4 or the value is 160.

Given expression is 40 divided by 1/4.

We have to find the value of the expression and the equivalent expression for this.

This is a division expression.

40 ÷ 1/4

We know that when a fraction is the divisor of a division problem, then the problem can be redefined into multiplication problem by taking the reciprocal.

So 1/4 is taken in to the reciprocal and becomes 4/1 = 4

So the expression is,

40 × 4 = 160

Hence the equivalent expression is 40 × 4.

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Answer:

1.971

Step-by-step explanation:

7.211 - 5.24 = 1.971

Answer:

1.971

Step-by-step explanation:

Temporarily add a zero at the end of 5.24, so both numbers have 3 decimal places.  We get"

7.211 - 5.240, or

   7.211

- 5.240

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   1.971

Answer:

The value of the expression is 80.

Step-by-step explanation:

14 - 6 = 8.

10 x 8 = 80.

Answer: 80

Step-by-step explanation:

Your original equation is 10(n - 6)

You know what the value of n is: 14

Now go into your equation since the value of n is 14, replace n with 14 giving you the expression

10(14 - 6)

Now do the subtraction inside the parentheses

10(8) = 80

That should be your answer I hope this helps you :)

Answer:

B

Step-by-step explanation:

The graph shows "days" in the x-axis and "cost" in the y-axis.

It says he left the car at airport for 5 days, so we need to find the cost he paid for 5 days.

We have to look at "5" in the x-axis. There is 4 and 6 given, so 5 would be between these two numbers. Now, from x = 5, we draw an imaginary straight line upwards towards the red line. That will approximately cross a little over $24 but a little lower than $30.

So, the cost would be between 24 and 30, but closer to 24.

From the answer choices, we can clearly see that this will be $26.00, answer choice B is right.

Answer:

[tex]-6\cdot6\cdot6=-\underbrace{6\cdot6\cdot6}_{3}=-6^3[/tex]

Step-by-step explanation:

[tex]a^n=\underbrace{a\cdot a\cdot a\cdot a\cdot ...\cdot a}_{n}[/tex]

Answer:

267.3 in.

Step-by-step explanation:

Using the Sine Rule:

90 / sin 60 = BC/ sin 50

BC = 90 sin 50 / sin 60 = 79.6 in.

Angle C = 180 - 50 - 60 = 70 degrees.

90 / sin 60 = AB / sin 70

AB =  90 sin 70 / sin 60 = 97.7 in.

So the perimeter = 90+ 79.6 + 97.7

= 267.3 in.

Answer: 267

Step-by-step explanation:

Answer:

16(9-3)

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Answer:

16(9-3)

thats your answer, you have to be in kindergarden to not understand this

Answer: d

Step-by-step explanation:

The probability of not being purple is the probability of the three other colors. Suppose the number of purple marbles is x. Then we have 20+30+40+x = 90 + x marbles. Then the probability of not being purple is 90/(90+x). If this fraction can have a lowest term for some value of x, then the numerator of this lowest term must be a factor of 90.

Checking through the options, only option D has a non-factor of 90 as its numerator.

The probability of randomly selecting a purple marble from the bag can be determined by dividing the number of purple marbles by the total number of marbles in the bag. Option a, 1/10, cannot be the correct probability value.

In order to determine which probability value cannot be correct, we need to find the total number of marbles in the bag and subtract the number of white, black, and beige marbles from it. The remaining number will represent the number of purple marbles in the bag. Then, we can find the probability of randomly selecting a purple marble by dividing the number of purple marbles by the total number of marbles in the bag.

Total number of marbles = white + black + beige + purple = 20 + 30 + 40 + purple
Total number of marbles = 90 + purple

Now, we can check which of the given probability values cannot be correct:

Let's solve each equation to find the value of purple:

Solving these equations, we find that the probability values given in options b, c, and d are all possible probabilities. Therefore, the correct answer is option a, 1/10, which cannot be the probability of randomly selecting a purple marble from the bag.

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Answer:

9x2-18+18 or 18-18+9x2

Step-by-step explanation:

There are a couple ways to find this answer but these I recommend or this one: 9^2-70+7.

Answer:

a)  9-5 over 4-0  is the CORRECT OPTION.

Step-by-step explanation:

Here, according to the given information:

x   0        4

y    5        9

⇒ when x = 0, y = 5 or (0,5) is a given point on function.

and when x  = 4, y = 9 or  (4,9) is a given point on function.

Now, if two such points (a,b) and (c,d) are given, then the slope S is given as:

[tex]S = (\frac{d-b}{c-a} )[/tex]

So, here taking   (a,b) and (c,d)  as  (0,5)  and (4,9):

[tex]S = (\frac{9-5}{4-0} )[/tex]

Hence,  9-5 over 4-0  is the CORRECT OPTION.

Answer:

The answer is the first option 9-5/4-0

Step-by-step explanation:

The act of storing toothpicks on shelves above food in storage can lead to a physcial contamination of the food stored.

Physical contamination of food is the direct contact of a foreign object with the food substance(s). This can affect us when eating because we might not know that such a foreign object has been prepared with the food.

It is advisable to keep foreign objects such as toothpicks away from our food storage or a place whereby they will not have the tendency of coming in contact with our food substance, either knowingly or unknowingly.

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Answer:

I do

Step-by-step explanation:

Owen earned $ 36 on Saturday afternoon

Solution:

Let "x" be the amount earned by Owen between morning and afternoon

On Saturday morning , Owen earned $ 24

By the end of the afternoon he had earned a total of $ 60

From given information,

Amount earned on saturday morning + Amount earned on saturday afternoon = Total money earned

Therefore,

24 + x = 60

x = 60 - 24

x = 36

Hence Owen earned $ 36 on Saturday afternoon

Answer:

2

Step-by-step explanation:

if you take half of something then you divide my 2

Final answer:

The perimeter of a rectangle whose width is half its length is three times the length of the rectangle. This can be calculated using the formula p = 2(l + w), substituting w with l/2, which simplifies to p = 3l.

Explanation:

The student is asking how many times a rectangle's length is its own perimeter if the width of the rectangle is half its length. Using the formula for the perimeter of a rectangle, which is p = 2(l + w), and knowing that the width (w) is half the length (l), we can substitute w with l/2.

Hence, the formula becomes p = 2(l + l/2) = 2(3l/2) = 3l. Therefore, the perimeter is three times the length of the rectangle.

Answer:

b/4+9

Step-by-step explanation:

Answer:

7÷5

1.4×5

Solution

7÷5=1.4

1.4×5=7

Answer: 9 is the coefficient and 'y' is the variable.

Step-by-step explanation:

Average = 0.56 inches

Solution:

Given data: Total rainfall = 16.8 inches

Total number of days for a month = 30

To find the average of the rainfall.

Formula for average:

[tex]\text {Average}=\frac{\text {Sum of the observations}}{\text {Total number of observations}}[/tex]

[tex]\text {Average}=\frac{16.8}{30}[/tex]

            = 0.56 inches

Average = 0.56 inches

Hence, average of daily rainfall is 0.56 inches.

Answer:

-2

Step-by-step explanation:

-3+-5=-8+6= -2

Answer:

B

Step-by-step explanation:

y = mx + b

m = 1

b = 4

y = 1(x) + 4

y = x + 4

64x^2-121

Rewrite 64x^2 as 8x^2

Rewrite 121 as 11^2

Now you have 8x^2-11^2

Use the difference of squares formula, a^2- b^2 = (a+ b)( a-b) where a= 8x and b = 11

Answer is:

(8x+11)(8x-11)

Answer:

Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) where a=8x and b=11

.

(8x+11)(8x−11)

Step-by-step explanation:

Answer:

[tex]2\frac{1}{10}[/tex] km

Step-by-step explanation:

We are given;

We are required to find the length of the rectangle;

We need to know how to find the area of a rectangle first;

Area of rectangle = Length × Width

Rearranging the formula;

Length = Area of rectangle ÷ Width

            = 7/10 km² ÷ 1/3 km

   We get;

           [tex]=\frac{7}{10} *\frac{3}{1}[/tex]

           [tex]=\frac{21}{10}[/tex]

           [tex]=2\frac{1}{10} km[/tex] (improper fraction)

Thus, the length of the rectangular park is [tex]2\frac{1}{10}[/tex] km

The length of the parking lot is 21/10 kilometers. This is found by rearranging the formula of the rectangular area to solve for length, substituting the given values and simplifying.

The problem is about finding the length of a rectangle when we know the area and the width. The formula of the area for a rectangle is the product of its length times its width. In this case, the area of the parking lot is 7/10 square kilometers and the width is 1/3 kilometers. The formula becomes: Area = Length * Width .

From this we can solve for length by dividing the area by the width, thus: Length = Area / Width. Substituting the values, we get: Length = (7/10) / (1/3), which simplifies to Length = (7/10) * (3/1) = (21/10) km.

So the length of the parking lot is 21/10 kilometers, or 2.1 kilometers written in decimal form.

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Answer:

2/3

Step-by-step explanation:

1-1/3=3/3-1/3=2/3

y = 4x - 10 is the equation of line with slope of 4 and passes through the point (5, 10)

Solution:

A line has a slope of 4 and passes through the point (5, 10)

The equation of line in slope intercept form is given as:

y = mx + c -------- eqn 1

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

Given that,  Slope = m = 4

The line passes thorugh (5, 10)

Substitute m = 4 and (x, y) = (5, 10) in eqn 1

10 = 4(5) + c

10 = 20 + c

c = -10

Substitute c = -10 and m = 4 in eqn 1

y = 4x - 10

Thus the equation of line in slope intercept form is found

Option C:

[tex]y+6=\frac{3}{5} (x-4)[/tex]

Solution:

Given point (4, –6) and slope, [tex]m=\frac{3}{5}[/tex]

Formula for equation of a straight line when passing through the point [tex](x_1, y_1)[/tex] and slope m is [tex]y-y_1=m(x-x_1)[/tex]

Here, [tex]x_1=4, y_1=-6, m=\frac{3}{5}[/tex]

Substitute these in the above formula, we get

⇒ [tex]y-(-6)=\frac{3}{5} (x-4)[/tex]

⇒ [tex]y+6=\frac{3}{5} (x-4)[/tex]

Hence, [tex]y+6=\frac{3}{5} (x-4)[/tex] is the equation in point-slope form.

Answer:

I dont now cause it depends on what you teacher asks of you

Answer: 10

Step-by-step explanation:(-x)(5y)(-2x)

=(-5xy)(-2x)

=10x^2y

therefore,the coefficient of the equation is 10.