5. A gift box is 8 inches long, 3 inches wide
and 4 inches tall. What is the approximate
length of its longest diagonal?
A. 9.4 inches
B. 10.2 inches
C. 15 inches
D. 89 inches

Answer: METHOD 1 Determine the part by multiplying the percent and the whole:METHOD 2 Determine 25% of 8:

125\% \times 8=1.25\times 8=10

125%×8=1.25×8=10

Step-by-step explanation:

Answer:

-2x^4 - 6x^3 - 8x^2

Step-by-step explanation:

Answer:

lemons is greater ratio

Step-by-step explanation:

cause the ratio is larger

lemons to water

5:2

2:1

simplify....

2.5:1

2:1

lemons is greater ratio

Answer:

Emma's recipe will be more "lemony"

Step-by-step explanation:

If you are to take Clair's recipe and multiply it x2 so that the common denominator (cups of water) is equal, it will show you that Emma's recipe has more lemons in it; therefore will be more "lemony"

Answer:

[tex]\huge\boxed{\text{the slope}=\dfrac{2}{3}}[/tex]

Step-by-step explanation:

The formula of a slope

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

Put the coorcinates of the points:

(2, 3); (5, 5)

[tex]m=\dfrac{5-3}{5-2}=\dfrac{2}{3}[/tex]

(2, 3); (8, 7)

[tex]m=\dfrac{7-3}{8-2}=\dfrac{4}{6}=\dfrac{4:2}{6:2}=\dfrac{2}{3}[/tex]

The point (2, 3), (5, 5) and (8, 7) are collinear because have the same slope.

Answer:

7

Step-by-step explanation:

Mark me brainlist

Answer:

21 because it all postive and equls

Step-by-step explanation:

Answer:

Range is y>= -3. That is all I know for sure, sorry!

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

[tex]xp = 2 + \frac{3}{5} (12 - 2) [/tex]

I did 12 -2 which equals 10

10 times 3/5 equals 6

6 plus 2 equals 8

the simplest ratio of the Squares to the circle is 4:1.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given, There are 16 squares and 4 circles.

Since there are 16 squares for 4 circles

The ratio of the Squares to the circle = 16/4

The ratio of the Squares to the circle = 4/1

Therefore, the simplest ratio of the Squares to the circle is 4:1.

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I can't see the semi circle is that image. From what I see, the perimeter of the trapezoid is 41.

Answer:

V=14.14ft^3

Step-by-step explanation:

V=4/3(π)1.5^3

=4/3(π)3.375

=14.14ft^3

Answer:

14.1 ft³ (to 3 s.f.)

Step-by-step explanation:

[tex]\boxed{volume \: of \: sphere = \frac{4}{3}π{r}^{3} }[/tex]

Given that the radius is 1.5 feet, substitute r= 1.5 into the formula above:

Volume of sphere

[tex] = \frac{4}{3} (π)( {1.5}^{3} ) \\ = 14.1 \: ft^{3} [/tex]

(to 3 s.f.)

Answer:

p - 3

Step-by-step explanation:

"fewer than" means subtract from, in this case 3, from an unknown number represented by p

The expression represents the phrase: “3 fewer than a number, p" is

(p-3).

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:

Expression: (Math Operator, Number/Variable, Math Operator)

We have,

Statement - “3 fewer than a number, p”

We know that the symbol for fewer would subtraction.

Then, the mathematical expression for 3 fewer than a number, p is

= (p - 3)

Thus, the required expression is (p-3).

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Answer:

 =  − 4

Step-by-step explanation:

Answer:

21 to 35

Step-by-step explanation

I aced the test

Complete  Question

An online poll has a question that appears on the screen, and you simply click buttons to vote "Yes, " "No, " "Not sure, " or "Don't care." On a particular day, the results of a question were tallied. In all, 636 said "Yes, " another 595 said "No, " and the remaining 93 indicated that they were not sure.

a)

What is the sample size for this poll?

b)

Compute the percent of responses in each of the possible response categories. (Round your answers to two decimal places.)

c)

Discuss the poll in terms of the population and sample framework that we have studied in this chapter.

i)

This random sample of responses collects the opinions of a random group of users across all users of the Internet.

ii)

This voluntary response sample collects only the opinions of those that visit this site every day.

iii)

This random sample of responses collects the opinions of a random group of users of the particular site.

iv)

This voluntary response sample collects only the opinions of those who visit this site and feel strongly enough to respond.

Answer:

a

   [tex]n  =  1324[/tex]

b

  YES             [tex]y  = 48.03 \% [/tex]

    NO             [tex]m  =44.94 \% [/tex]

   NOT SURE  [tex]m  =7.02\% [/tex]

c

The correct option is (iv)

Step-by-step explanation:

From the question we are told that

The voting options are "Yes, " "No, " "Not sure, " or "Don't care."

The number of people that said is [tex]Y = 636[/tex]

The number of people that said No is [tex]N = 595 [/tex]

The number that indicated Not sure is [tex]S = 93[/tex]

Generally the sample size is mathematically represented as

[tex]n = Y + N + S[/tex]

=> [tex]n = 636 + 595 + 93[/tex]

=> [tex]n = 1324[/tex]

Generally the percentage of responses that was Yes is mathematically represented as

[tex]y = \frac{636}{ 1324} * 100[/tex]

=>     [tex]y  = 48.03 \% [/tex]

Generally the percentage of responses that was No is mathematically represented as

[tex]m = \frac{595}{ 1324} * 100[/tex]

[tex]m =44.94 \% [/tex]

Generally the percentage of responses that was Not sure is mathematically represented as

[tex]s = \frac{93}{ 1324} * 100[/tex]

[tex]m =7.02\% [/tex]

This voluntary response sample collects only the opinions of those who visit this site and feel strongly enough to respond.

Answer:

15 and 26

Step-by-step explanation:

Answer:

Rita is 17 years old and Cheryl is 7

Hope this Helps :)

Step-by-step explanation:

Answer:

Although the image has two terms inside the parenthesis rather than three terms in the question, we can apply it to this question.

The

2

multiplies to everything inside the parenthesis:

(

2

⋅

x

)

+

(

2

⋅

−

5

)

+

(

2

⋅

2

)

=

6

Now simplify by multiplying:

2

x

−

10

+

4

=

6

Combine

−

10

+

4

:

2

x

−

6

=

6

Add

6

to both sides:

2

x

−

6

+

6

=

6

+

6

2

x

=

12

Divide both sides by

2

2

x

2

=

12

2

x

=

6

Hope this helps!

Answer:

[tex]\huge\boxed{\sf{2x+10}}[/tex]

Step-by-step explanation:

Hello.

Please remember the formula for the Distributive Property:

a(b+c)=ab+ac, where a, b, and c can be variables (letters) or constants (numbers)

Now that we know the formula for the Distributive Property, let's distribute:

2(x+5)

2x+10

I hope it helps.

Have a great day.

[tex]\boxed{imperturbability}[/tex]

Answer:

1 Remove parentheses.

{x}^{4}(3{x}^{2}-2)(4{x}^{2}+5x)x

4

(3x

2

−2)(4x

2

+5x)

2 Expand by distributing terms.

(3{x}^{6}-2{x}^{4})(4{x}^{2}+5x)(3x

6

−2x

4

)(4x

2

+5x)

3 Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd(a+b)(c+d)=ac+ad+bc+bd.

12{x}^{8}+15{x}^{7}-8{x}^{6}-10{x}^{5}12x

8

+15x

7

−8x

6

−10x

5

Answer:

Each pencil costs $1.25

Step-by-step explanation:

$18.74 - 4.99=13.75

13.75/11=$1.25

You have to take the total amount and subtract how much the paper pad costs then you get 13.75 and that is how much the student paid for all 11 pencils so you divide it by 11 and you get $1.25

Answer:

1 mile

Step-by-step explanation:

Answer:

2: 4

3:32

Step-by-step explanation:

so you are first going to solve in the parentheses and then solve the exponents

Answer:

5:8 po ba ang ratio kasi 5mike

and 8randy old

The proportional relationships that have the same ratio to that of mike and randys age include:

Since Mike is 5 years old and Randy is 8 years old, their ratio is 5:8.

Also, since Sarah is 40 years old and her mother is 64 years old. We can divide their ages by 8. Then the ratio will be 5:8.

Phill is 40 years old and Moleka is 25 years old. We can divide their ages by 5. Then the ratio will be 5:8.

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Answer:

a

Step-by-step explanation:

Double negatives make a positive. Hope this helps!

Step-by-step explanation:

Hey there!

Given;

Ratio = 9:8:7

Let "x" be the common factor. So,

9x+8x+7x = 144

or, 24x = 144

or, x = 144/24

or, x= 6

It's like;

= 9*6:8*6:7*6

= 54:48:42

Therefore, their ratio is 54:48:42.

Hope it helps...

Answer:

y=x+1

Step-by-step explanation:

The first step I took was to find the slope. A slope is equal to the rise over the run. The equation goes up 2 for every 2 it goes over, which means that the slope is 2/2 or 1. Then you need to determine the y intercept. I usually go about this by thinking logically about the problem. Because there is a point at (4,5) and the slope is 1, there must also be a point at (3,4) (2,3) (1,2) and (0,1) Because the x value in (0,1) is 0, we know that the y intercept must be 1, so I added 1 to the equation. The last step is putting it all together. We know that a linear equation is y=mx+b (m being the slope, b being the y-intercept) so the final equation is y=x+1

Answer:

Allocation: 4 samples should be from the mountain and 16 from along the coast.

Step-by-step explanation:

Neyman allocation is technique of sample allocation used in cases of stratified sampling.

The formula to compute the best sample size of each stratum is:

[tex]n_{h}=n\times \frac{(N_{h}\times SD_{h})}{\sum\limits^{k}_{i=1}(N_{i}\times SD_{i})}[/tex]

The information provided is:

[tex]N_{m}=50\\N_{c}=100\\n=20\\[/tex]

Compute the range for the number of people at the mountain campsite as follows:

[tex]R_{m}=6-1=5[/tex]

Then the standard deviation for the number of people at the mountain campsite will be:

[tex]SD_{m}=\frac{R_{m}}{4}=\frac{5}{4}[/tex]

Compute the range for the number of people along the coast campsite as follows:

[tex]R_{c}=10-1=9[/tex]

Then the standard deviation for the number of people along the coast campsite will be:

[tex]SD_{c}=\frac{R_{c}}{4}=\frac{9}{4}[/tex]

Compute the sample size for the mountain campsite as follows:

[tex]n_{m}=n\times \frac{(N_{m}\times SD_{m})}{(N_{m}\times SD_{m})+(N_{c}\times SD_{c})}[/tex]

    [tex]=20\times \frac{(50\times (5/4))}{(50\times (5/4))+(100\times (9/4))}\\\\=20\times 0.2174\\\\=4.348\\\\\approx 4[/tex]

Compute the sample size for along the coast campsite as follows:

[tex]n_{c}=n-n_{m}=20-4=16[/tex]

Thus, 4 samples should be from the mountain and 16 from along the coast.