4
5. The fifth graders were given sandwiches for lunch
5
during their field trip. Nathan ate of his sandwich,
3
Leroy ate z of his sandwich, and Sofia ate of her sandwich.
Who ate the greatest amount of their sandwich? Explain.
7
8

Answer:

I think they should be taught first so that later on they can use it, and also just in case they forget to know how to multiply or divide they can sorta use addition and subtract for it.

Another reason is that it is easier and since they are teaching it to younger kids it would be helpful to start off a bit easy.

Step-by-step explanation:

I hope it helps, sorry if it doesn’t!

Muffin<3

Answer:

How to find the area in terms of pi?

Answer: First divide the circumference by Pi to give the diameter of the circle (27 divided by 3.14 = 8.59...). Now halve the diameter to give the radius (8.59 divided by 2 is 4.29...). Now use Pi*r^2 to find the area of the circle (Pi times 4.29^2 = 58.0 cm^2 to 1 decimal place)

Step-by-step explanation:

[tex]\boxed{y}=\cfrac{1}{2}x-4\\\\ y=-2x+1 \end{cases}\qquad \qquad \qquad \stackrel{\textit{substituting on the 2nd equation}}{\stackrel{\boxed{y}}{\cfrac{1}{2}x-4}~~ = ~~-2x+1} \\\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{2\left( \cfrac{1}{2}x-4 \right)~~ = ~~2(-2x+1)}\implies x-8=-4x+2\implies 5x-8=2[/tex]

[tex]5x=10\implies x=\cfrac{10}{5}\implies \blacktriangleright x=2 \blacktriangleleft \\\\\\ \stackrel{\textit{we know that}}{y==\cfrac{1}{2}x-4}\implies y=\cfrac{1}{2}(2)-4\implies \blacktriangleright y = -3 \blacktriangleleft \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (2~~,~~-3)~\hfill[/tex]

Answer:

4/5x + 7

Step-by-step explanation:

the slope-intercept form is y = ax+b

a is the slope, to figure it out the line is perpendicular to y = -5/4x+11/4

There is a rule said if two lines are perpendiculars, the multiplication of their slopes = -1, so -5/4 * a = 1, solve for a = 4/5

b is the intercept to get it use the point (0,7)

so y = 4/5x+b, 7 = 4/5 * 0 + b,  then b = 7

Answer:

1 6611/12500

Step-by-step explanation:

1 is the whole number and 6611/12500 is in simplest form :)

Answer:

625

Step-by-step explanation:

so we do 500/ 0.6 = 625

Answer:

0.16

Step-by-step explanation:

2.88 divided by 18 = .16

Answer:

0.16

Step-by-step explanation:

2.88/18 = 0.16

because you divide the total cost of the box of dog biscuits with the total amount of biscuits that are in the box and then that gives you 0.16.

So each dog biscuit cost $ 0.16

Answer: The slope would be 2/3. The parallel slope would be 2/3. the parallel intercept is -4

Step-by-step explanation: I how this helps!

Step-by-step explanation:

F = 9(11) + 19 [ z = 11]

= (9 × 11) + 19

= 99 + 19

= 118

H = 11(11) - 3 [z = 11]

= 11 ×11 - 3

= 121 - 3

= 118

Answer:

Angle F and H are equal, and Angle E and G are equal. EFGH is a parallelogram because opposite angles are congruent.

Step-by-step explanation:

Step 1:

Insert z=11 into (9z+19), angle F,  and (11z-3), Angle H,  to find the angle lengths.

9(11)+19=118

11(11)-3=118

We see that they are the same angles! In step 2, we see the same thing happen. Note that the definition of parallelograms is that opposite sides and angles are equal.

Sentence completion: Angle F and H are equal (We see that in step 1), and  Angle E and G are equal (Shown in step 2, which is done for you.) EFGH is a parallelogram because opposite angles are congruent. Hope this helps!

Answer:

Step-by-step explanation:

$5.79 for 8 quarts

[tex]\frac{5.79}{8}[/tex] = 0.72375 ≈ 0.72  dollar per quart

[tex]\frac{8}{5.79}[/tex] ≈ 1.38 quarts per dollar  

Answer:

It would be m = -2

Step-by-step explanation:

For this line slope would be negative because it is going down. It is going 2 down 1 across. Since it is rise over run it would be -2/1.

Answer:

10

For this case what we must do is a division using the following relationship:

Substituting values we have:

Rewriting the fraction we have:

Simplifying we have:

Answer:

The number of times repeated 2/5 for 4 is:

10

Answer:

13 is a solution.

Step-by-step explanation:

[tex]7w = 94 \\ \frac{7w}{7} = \frac{94}{7} \\ w = 13.42 \\ [/tex]

13.42 ≈ 13

Answer:

13 quarters must be tails.

Step-by-step explanation:

Number of quarters = 40% of 50 coins

Number of quarters = 40/100 * 50 = 20 coins which are quarters.

35% of these 20 quarters on heads. We can proceed in 2 ways from here.

We can actually find the number of quarters that are on heads.

35/100 * 20 = 7 quarters are showing heads.

Since the other quarters must be tails 20 - 7 = 13 quarters must be tails.

The other way to do it is to realize that if 35% of the coins are heads, 65% of the coins must be tails 20 * 65/100 = 13 which is a bit more direct.

Answer:

$7.25 + $4.25 + 6.00 = $17.50

Step-by-step explanation:

7.25 + 4.25= 11.50 + 6.00= 17.50

Answer:

See below for all the cube roots

Step-by-step explanation:

DeMoivre's Theorem

Let [tex]z=r(cos\theta+isin\theta)[/tex] be a complex number in polar form, where [tex]n[/tex] is an integer and [tex]n\geq1[/tex]. If [tex]z^n=r^n(cos\theta+isin\theta)^n[/tex], then [tex]z^n=r^n(cos(n\theta)+isin(n\theta))[/tex].

Nth Root of a Complex Number

If [tex]n[/tex] is any positive integer, the nth roots of [tex]z=rcis\theta[/tex] are given by [tex]\sqrt[n]{rcis\theta}=(rcis\theta)^{\frac{1}{n}}[/tex] where the nth roots are found with the formulas:

for  [tex]k=0,1,2,...\:,n-1[/tex]

Calculation

[tex]z=27(cos330^\circ+isin330^\circ)\\\\\sqrt[3]{z} =\sqrt[3]{27(cos330^\circ+isin330^\circ)}\\\\z^{\frac{1}{3}} =(27(cos330^\circ+isin330^\circ))^{\frac{1}{3}}\\\\z^{\frac{1}{3}} =27^{\frac{1}{3}}(cos(\frac{1}{3}\cdot330^\circ)+isin(\frac{1}{3}\cdot330^\circ))\\\\z^{\frac{1}{3}} =3(cos110^\circ+isin110^\circ)[/tex]

First cube root where k=2

[tex]\sqrt[3]{27}\biggr[cis(\frac{330^\circ+360^\circ(2)}{3})\biggr]\\3\biggr[cis(\frac{330^\circ+720^\circ}{3})\biggr]\\3\biggr[cis(\frac{1050^\circ}{3})\biggr]\\3\biggr[cis(350^\circ)\biggr]\\3\biggr[cos(350^\circ)+isin(350^\circ)\biggr][/tex]

Second cube root where k=1

[tex]\sqrt[3]{27}\biggr[cis(\frac{330^\circ+360^\circ(1)}{3})\biggr]\\3\biggr[cis(\frac{330^\circ+360^\circ}{3})\biggr]\\3\biggr[cis(\frac{690^\circ}{3})\biggr]\\3\biggr[cis(230^\circ)\biggr]\\3\biggr[cos(230^\circ)+isin(230^\circ)\biggr][/tex]

Third cube root where k=0

[tex]\sqrt[3]{27}\biggr[cis(\frac{330^\circ+360^\circ(0)}{3})\biggr]\\3\biggr[cis(\frac{330^\circ}{3})\biggr]\\3\biggr[cis(110^\circ)\biggr]\\3\biggr[cos(110^\circ)+isin(110^\circ)\biggr][/tex]

Step-by-step explanation:

similar triangles.

all angles are the same in both triangles.

and the ratio of the lengths of a pair of corresponding sides in both triangles is the same for all corresponding side pairs.

so,

21 / 1.4 = height / 1 = height = 15

the building is 15.00 meters tall.

Answer: think your not stups ur smart

Step-by-step explanation:

Answer:

D.68 is greater than 112 because 68 is greater than the benchmark 12, and 112 is less than the benchmark 12.

Answer:

Please see the analysis

The p-value that would be associated with the two-tail hypothesis test is 0.03.

A statistical hypothesis test is a method of statistical inference used to decide whether the data at hand sufficiently support a particular hypothesis. Hypothesis testing allows us to make probabilistic statements about population parameters.

The mean will be 2.587

The standard deviation will be 0.467

By two tail test,

The p-value is 0.03

Learn more about Hypothesis Test:

https://brainly.com/question/4232174

#SPJ2

Answer:

B 26 < 30

Step-by-step explanation:

30 is greater than 26, and this is the only statement that is correct.

Answer:

This equation has No Solutions.

Step-by-step explanation:

It is parrel because it has the same x. When equations have the same x it is always parrel or it always has no solutions.

I hope it helps! Have a great day!

Lilac~

The solution to the system of equation is (4, 0)

Given the system of equation expressed as:

y=-x+4

y=x-4

Equate both expressions to have;

-x + 4 = x - 4

collect the like terms

-x - x = -4- -4

-2x = -8

x = 4

Since y = x - 4

y = 4-4

y = 0

Hence the solution to the system of equation is (4, 0)

Learn more on system of equations here: https://brainly.com/question/14323743

[tex]\\ \tt\longrightarrow y+2>5[/tex]

[tex]\\ \tt\longrightarrow y>5-2[/tex]

[tex]\\ \tt\longrightarrow y>3[/tex]

[tex]\\ \tt\longrightarrow y\in (3,\infty)[/tex]

Graph attached

Answer:

see attached diagram

Step-by-step explanation:

y + 2 > 5

Subtract 2 from both sides:

⇒ y > 3

Graphing inequalities

< or > : dashed line to show that the line is not included in the region.

≤ or ≥ : solid line to show that the line is included in the region.

Draw a horizontal dashed line at y = 3 and shade above the line.

Number line

≤ or ≥ : closed circle

< or > : open circle

Draw an open circle at 3 and shade to the right.

Answer:

41/12

Step-by-step explanation:

Answer:

2 1/2 (or 2 3/6)

Step-by-step explanation:

[tex]\frac{Numerator}{Denominator}[/tex]

both denominators are the same so you can just subtract 2 from 4 and also the numerators which are 2 and 5.

4 - 2 = 2

5/6 - 2/6 = 3/6

so the answer is 2 3/6 which simplifies to 2 1/2