Abigail is putting juice into cone-shaped containers to make frozen treats. She has approximately one quarter of a gallon, or 58 cubic inches, of juice to make the treats with. Each
container has a height of 3 inches.
Use the information to complete the table indicating the maximum number of treats that Abigail could make with 58 cubic inches of juice.

Answer:

1,249 cm or 12.49

Whichever one it asks for

Step-by-step explanation:

First, we need to convert all of the m to cm.

4.04 m = 404 cm

1.6 m = 160 cm

2.87 m = 287 cm

Next, add them all up.

325 + 404 + 73 + 160 + 287 =

1,249 cm

If it asks to convert to m again, then the answer would be 12.49 m

Hope this helps!!!

Answer:

1,249 cm (or) 12.49 m

Step-by-step explanation:

1m = 100cm

4.04m = 404cm

1.6m = 160 cm

2.87m = 287 cm

So, 325 + 404 + 73 + 160 + 287 = 1,249 cm

If u want the answer in meters, [tex]\frac{1249}{100}[/tex]

So, it will be 12.49 m

Answer:

5,267

Step-by-step explanation:

Five thousand: 5,000

Two hundred: 200

Sixty: 60

Seven: 7

Put them together: 5,267

Five thousand two hundred sixty-seven in standard form is 5,267.

Standard form is the way of written down number in simplest form.

Five thousand=5,000

Two hundred=200

Sixty=60

Seven=7

Hence:

Standard form=5,000+200+60+7

Standard form=5,267

Inconclusion five thousand two hundred sixty-seven in standard form is 5,267.

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Answer:

Square: 484 Square root: 4.690

Answer:

35m³ + 33m² - 38m - 6

Step-by-step explanation:

simplify ( 7m + 1 )( 5m^2 + 4m - 6 )

= 7m * 5m² + 7m * 4m - 7m * 6 + 5m² + 4m - 6

=7 * 5mm² + 7 * 4mm - 7 * 6m + 5m² + 4m

= 35m³ + 33m² - 38m - 6

Answer:

1/3 of the gas.

Step-by-step explanation:

1 - 1/2 = 1/2

1/3 - 3/3 = 2/3

2/3 ( 1/2 ) = 1/3

The amount of gas left with Jess is given by the equation A = 1/6 of the total gas

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total amount of the gas be represented as A

Now , the equation will be

The amount of gas utilized by Jess on Friday = 1/2 of the initial gas

So , The amount of gas left on Friday = A - ( 1/2 ) A

On simplifying the equation , we get

The amount of gas left on Friday = ( 1/2 )A

Now ,

Amount of gas utilized by Jess on Saturday = ( 1/3 ) of the remaining gas

On simplifying the equation , we get

The remaining gas = ( 1/2 ) A - ( 1/3 ) A

So , the remaining amount of gas with Jess = ( 1/6 ) of the total gas

Hence , the equation is ( 1/6 ) of the total gas is remaining

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Answer:

afdgdfdf

Step-by-step explanation:

Answer:

its going up by 1 each time theres a new number so next youll multiply 4 by 120 which is 480

Step-by-step explanation:

Answer:

1) [tex]50=2(x+5)+2(x)[/tex]

2) [tex]x=10[/tex]

3) [tex]15\text{ units}[/tex]

Step-by-step explanation:

So we know that the perimeter of the rectangle is 50.

The formula for the perimeter of a rectangle is given by:

[tex]P=2l+2w[/tex]

Where l is the length and w is the width.

The length is (x+5) and the width is (x).

Thus, substitute (x+5) for l and (x) for w. Also substitute 50 for P. Therefore:

[tex]50=2(x+5)+2(x)[/tex]

And that's our equation.

To solve, first distribute:

[tex]50=2x+10+2x[/tex]

Combine like terms:

[tex]50=4x+10[/tex]

Subtract 10 from both sides:

[tex]40=4x[/tex]

Divide everything by 4:

[tex]x=10[/tex]

So, the value of x is 10.

The length is the longer side. Thus, it is (x+5).

We now know that x is 10, substitute:

[tex]x+5\\=(10)+5\\=15[/tex]

So, the length is 15 units.

Answer:

Below

Step-by-step explanation:

The perimeter of a rectangle is the sum of its 4 sides.

Let P be the perimeter

● P = x + (x+5) + x + (x+5)

● P = x+x+x+x+5+5

The perimeter is 50 units

● 50 = 4x +10

So this the equation that would model how to find x.

Let's solve it

● 4x + 10 = 50

Substract 10 from both sides

● 4x + 10 - 10 = 50-10

● 4x = 40

Divide both sides by 4

● 4x/4 = 40/4

● x = 10

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let's find the length.

The length is x+5

Replace x by 10 to find the value of the length.

● 10 + 5 = 15

So the length is 15 units

Answer:

See below

Step-by-step explanation:

We can simply use a graphing calculator to carry it out.

See the attached file for more explanation!

Another way is that we can take the values of x as 1,2 and 3 and so on and put it in the equation to get the value of y. We have some coordinates now so we'll plot them in the graph to get the line of y = 2x+5.

Step-by-step explanation:

Hope this helps........

Answer:

8.7+5.22=13.92

Hope it helps you...

Answer:

13.92

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

+-8 = -8

+-6 = -6

then:

4 + 2 + -8 + -6 = 4 + 2 - 8 - 6  =  6 - 14

= -8

Answer:

-8

Step-by-step explanation:

Therefore, the answer is -8.

=====================================================

Explanation:

Apply the distance formula.

[tex]d = \sqrt{ (x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{ (-1-1)^2+(4-(-1))^2}\\\\d = \sqrt{ (-1-1)^2+(4+1)^2}\\\\d = \sqrt{ (-2)^2+(5)^2}\\\\d = \sqrt{ 4+25}\\\\d = \sqrt{ 29}\\\\d \approx 5.38516\\\\d \approx 5.39\\\\[/tex]

You could also use the pythagorean theorem which is what the distance formula is based off of.

Answer:

B.  2x² + x² + x = 30

D.  9x + 3x² = 14 + x - 1

Step-by-step explanation:

2x² + x² + x = 30

simplify

3x² + x - 30 = 0

x can be solve using quadratic equations

x = 3    and x = -10/3

so the answer is B

9x + 3x² = 14 + x - 1

simplify

3x² + 8x - 13 =0

x can be solve using quadratic equations

so the answer is D

Note: options A and C do not qualify for quadratic equation

The solution is Option B , Option D.

The set of quadratic equations are 2x² + x² + x = 30 and 9x + 3x² = 14 + x -1

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

a)

2x² + x² + x = 30   be equation (1)

On simplifying the equation , we get

3x² + x = 30

Subtracting 30 on both sides of the equation , we get

3x² + x - 30 = 0

Now , on factorizing the equation , we get

x = 3 and x = -10/3

b)

9x + 3x² = 14 + x -1   be equation (1)

On simplifying the equation , we get

Subtracting x on both sides of the equation , we get

3x² + 8x = 13

Subtracting 13 on both sides of the equation , we get

3x² + 8x - 13 = 0

Now , on factorizing the equation , we get

x = ( -4/3 ) ± ( √55/3 )

Hence ,

The quadratic equations are 2x² + x² + x = 30 and 9x + 3x² = 14 + x -1

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Answer:

(1/2)(3v+28)

Step-by-step explanation:

of= multiply

sum= add

Could it be (3v +28)/2

Answer:

x=14 z=72

Step-by-step explanation:

(8x-40)+(12x-60)=180

20x-100=180

20x=280

x=14

(12x-60)+z=180

(168-60)+z=180

108+z=180

z=72

Answer:100%

Step-by-step explanation: Think about it for a second S-ea-n w-a-nts t-o e-a-t a-t o-liv-e g-a-rd-e-n their are vowels in every word

Answer:12/27

Step-by-step explanation:there are 12 vowels in the phrase so the probability is 12:27 or 4:9 (you can write these as fractions too, numerators are on the left)

Answer:

Kathy = J - 5 cm

Step-by-step explanation:

Jo = 5 + Kathy

Jo = J

Kathy = K

=> J = 5 + K

=> J - 5 = 5 - 5 + K

=> J - 5 = K

=> K = J - 5

So, Kathy's height is J - 5 cm

Answer:

Step-by-step explanation:

It can be helpful to understand what the square of a binomial looks like:

  (a +b)² = a² +2ab +b²

The middle term on the right is twice the product of the terms in the original binomial on the left.

Here, we want to use this relationship to find "b" when we're given "2ab". We recognize that "b" is half the coefficient of "a" in 2ab.

Choosing a value for b² to turn the sum (a² +2ab) into the trinomial (a² +2ab +b²) is called "completing the square" because that trinomial can now be written as the square (a+b)².

__

The standard form equation of a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

In order to find the center and radius of the circle from the given equation, you're expected to rewrite the equation in this form. You do that by "completing the square" for both x-terms and y-terms.

__

Given

  x² +y² +6x -8y -25 = 0

Regrouping, we have ...

  (x² +6x) +(y² -8y) = 25

Adding the squares of half of 6 and half of -8, we can write this as ...

  (x² +6x +3²) +(y² -8y +(-4)²) = 25 +3² +(-4)²

And writing the trinomials as squares gives us ...

  (x +3)² +(y -4)² = 50 = (5√2)²

Comparing this to the standard form equation above, we see that ...

  (h, k) = (-3, 4)

  r = 5√2

__

The radius is 5√2.

The center is (-3, 4).

__

The attachment shows that the original equation draws a circle with center (-3, 4) and through points that are 5 units horizontally and vertically from the center, such as the point (2, -1). That is, the radius is 5√2.

Answer:

 C.No, because each lime will cost a bit more than 30¢, so 4 limes will cost a bit more than $1.20.Step-by-step explanation:

The unit price of the 8 limes is $0.25 per lime.

The given expression:

The selling price for 8 limes = $2.00

To find:

The unit price of the lime is calculated by dividing the total selling price by the total number of limes purchased.

[tex]unit \ price = \frac{total \ amount \ paid \ for \ 8 \ limes }{8 \ limes } \\\\unit \ price =\frac{\$ \ 2}{8 \ limes } \\\\unit \ price = (\frac{1}{4} ) \frac{\$}{lime} \\\\unit \ price = \$0.25 \ per \ lime[/tex]

Thus, the unit price of the 8 limes is $0.25 per lime.

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Answer:

26

Step-by-step explanation:

2x + 18

2(4) + 18

8 + 18

26

Answer:

26

Step-by-step explanation:

We just substitute the value of X and find the answer

Answer:

It means [tex]\sum_{n=1}^\inf} = \frac{7n^2-4n+3}{12+2n^6}[/tex] also converges.

Step-by-step explanation:

The actual Series is::

[tex]\sum_{n=1}^\inf} = \frac{7n^2-4n+3}{12+2n^6}[/tex]

The method we are going to use is comparison method:

According to comparison method, we have:

[tex]\sum_{n=1}^{inf}a_n\ \ \ \ \ \ \ \ \sum_{n=1}^{inf}b_n[/tex]

If series one converges, the second converges and if second diverges series, one diverges

Now Simplify the given series:

Taking"n^2"common from numerator and "n^6"from denominator.

[tex]=\frac{n^2[7-\frac{4}{n}+\frac{3}{n^2}]}{n^6[\frac{12}{n^6}+2]} \\\\=\frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{n^4[\frac{12}{n^6}+2]}[/tex]

[tex]\sum_{n=1}^{inf}a_n=\sum_{n=1}^{inf}\frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{[\frac{12}{n^6}+2]}\ \ \ \ \ \ \ \ \sum_{n=1}^{inf}b_n=\sum_{n=1}^{inf} \frac{1}{n^4}[/tex]

Now:

[tex]\sum_{n=1}^{inf}a_n=\sum_{n=1}^{inf}\frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{[\frac{12}{n^6}+2]}\\ \\\lim_{n \to \infty} a_n = \lim_{n \to \infty} \frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{[\frac{12}{n^6}+2]}\\=\frac{7-\frac{4}{inf}+\frac{3}{inf}}{\frac{12}{inf}+2}\\\\=\frac{7}{2}[/tex]

So a_n is finite, so it converges.

Similarly b_n converges according to p-test.

P-test:

General form:

[tex]\sum_{n=1}^{inf}\frac{1}{n^p}[/tex]

if p>1 then series converges. In oue case we have:

[tex]\sum_{n=1}^{inf}b_n=\frac{1}{n^4}[/tex]

p=4 >1, so b_n also converges.

According to comparison test if both series converges, the final series also converges.

It means [tex]\sum_{n=1}^\inf} = \frac{7n^2-4n+3}{12+2n^6}[/tex] also converges.

Answer:

Factor to this equation out, the easiest way is to solve for the two x values that add up to -1 but when multiplied is equal to -6. It should look like this: (x +- ?)(x +- ?).

The factored out form is then (x - 3)(x +2), because -3 + 2 = -1 and when multiplied together gives -6.

x - 3 = 0

x = 3

x + 2 = 0

x = -2

The two solutions are therefore, x = 3 and x = -2.

Answer:

47/21

Step-by-step explanation:

[tex]\frac{1}{3} + \frac{4}{7} \div \frac{3}{10} \\\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\\=\frac{1}{3}+\frac{4}{7}\times \frac{10}{3}\\\\\frac{4}{7}\times \frac{10}{3}=\frac{40}{21}\\=\frac{1}{3}+\frac{40}{21}\\\\\mathrm{Least\:Common\:Multiplier\:of\:}3,\:21:\quad 21\\\\\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}\\=\frac{7}{21}+\frac{40}{21}\\\\=\frac{7+40}{21}\\\\=\frac{47}{21}[/tex]

Evaluate f(9) + f(5)= 14f If I didn't answer Your Question fully than tell me please!

Answer:

The answer is No, he's incorrect

Step-by-step explanation:

Because -5.0 is still -5 so therefore it makes -5.0 an integer

Answer:

320

Step-by-step explanation:

There are 320 tens in 3,200.

320 x 10 = 3200

Answer:

320

Step-by-step explanation:

3200/10=320

Answer:

The confidence interval = (7.8 , 8.0)

Step-by-step explanation:

Confidence Interval formula =

Mean ± z × Standard deviation/√n

Mean = 7.9

Standard deviation = 0.9

n = number of samples = 164

z = z score of an 80% confidence interval = 1.282

Confidence Interval = 7.9 ± 1.282 × 0.9/√164

= 7.9 ± 0.0900966432

Confidence Interval

= 7.9 - 0.0900966432

= 7.8099033568

Approximately to 1 decimal place = 7.8

7.9 + 0.0900966432

= 7.9900966432

Approximately to 1 decimal place = 8.0

Therefore, the confidence interval = (7.8 , 8.0)

Answer:

Cost price= Rs. 15

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

Qualitative variable.

See explanation below.

Step-by-step explanation:

In research we have two types of variables: the quantitative and the qualitative variables.

In this example we are asked about our favorite city, we can see that the possible answers for this question are: Dallas, Seattle, Washington, Paris, etc.. these are not numbers so therefore this is an example of qualitative variable.

The 8 is a, the 3 is b and -45 is c

Plug them into the quadratic formula