Mr. Beber feeds his dog 1/5 of a cup of dog food each day. How long will 9 cups of dog food last?

The 42 burgers are sold by Mrs. Garcia's class at $57.12 and 37 salad is sold by Mr. Runner’s class at $61.05.

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

Mrs. Garcia’s class sold burgers for $1.36 each and Mr. Runner’s class sold salads for $1.65 each. Together, the classes sold 79 items and earned $118.17 for their school.

Let x burgers are sold by Mrs. Garcia's class and s salad is sold by Mr. Runner’s class. Together, the classes sold 79 items for their school. Thus,

[tex]x + s = 79[/tex]            .....1

Mrs. Garcia’s class sold burgers for $1.36 each and Mr. Runner’s class sold salads for $1.65 each. Together, the classes earned $118.17 for their school. Thus,

[tex]1.36(x) + 1.65(s) = 118.17\\1.36x + 1.65s = 118.17[/tex]             ....2

Rewrite the first equation,

[tex]x + s = 79 \\ x = 79-s[/tex]             .....3

Put this value of x in equation 2,

[tex]1.36(79-s) + 1.65s = 118.17\\107.44-1.36s + 1.65s = 118.17\\0.29s=118.17-107.44\\s=\dfrac{10.73}{0.29}\\s=37[/tex]

Put this value in equation 3,

[tex]x=79-37\\x=42[/tex]

42 burgers are sold by Mrs. Garcia's class and 37 salad is sold by Mr. Runner’s class. Thus, Mrs. Garcia's class sold more items.

Money earned by Mrs. Garcia's class by selling 42 burger at $1.36 each is,

[tex]M_x=1.36\times42\\M_x=57.12[/tex]

Money earned by Mr. Runner’s class by selling 37 salad at $1.65 each is,

[tex]M_s=1.65\times37\\M_s=61.05[/tex]

Thus, Mr. Runner’s class earned more money.

Hence, the 42 burgers are sold by Mrs. Garcia's class at $57.12 and 37 salad is sold by Mr. Runner’s class at $61.05.

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Answer:

B

Step-by-step explanation:

Length of one side= 3a+6b

Perimeter= sum of 4 sides= 4(3a+6b) = 12a+24b

Answer:

173%

Step-by-step explanation:

So, if one big square represents one whole it means each small square represents 1% as there are 100 of them in each large square.

The first square is completely shaded (100%) and the second square has 73 squares shaded (73%), so 100 + 73= 173%

Hope this helped! :)

Answer:

[tex]86.5 \ \%[/tex]

Step-by-step explanation :

the shaded area consists of 173 squares

The total area consists of 200 squares

THen the shaded area represents :

[tex](\frac{173}{200} \times 100) \ \% = 86.5 \ \%[/tex]

:

Answer:

[tex]\huge\boxed{\sf Volume\ of\ cylinder = 270\ cm^3}[/tex]

Step-by-step explanation:

Volume of cone = 90 cm³

Volume of cylinder = ?

Always remember:

Volume of cylinder = 3 × volume of cone

Volume of cylinder = 3 × 90

Volume of cylinder = 270 cm³

[tex]\rule[225]{225}{2}[/tex]

Answer:

an = a(n-1) - 7

Step-by-step explanation:

the second term is smaller than the first term 7.

a20 = a19 - 7

a19 = a18 - 7

=> a20 = (a18 - 7) - 7

Then you can accumalate until a1

-> a20 = a1 - 19*7 = 86 - 19*7 = -47

Answer:

d

Step-by-step explanation:

Answer:

-7.8 :)

Step-by-step explanation:

first perform 44 minus 90

then add 7 to that

then divide that by 5

Answer:

sinA = 0.79        tanA = 1.3

Step-by-step explanation:

Step1:

Find the length of the line going through the middle from A to C by using pythagorean theorem.

a = 13

b = 12

c= ?

c = sqrt(a^2 + b^2)

c = sqrt(13^2 +12^2)

c = 17.69

Step 2:

Use pythagorean theorem again to find the length of the line going from A to D.

a = ?

b = 14

c = 17.69

c^2 = a^2 + b^2

Now solve for a.

a^2 = c^2 - b^2

a = sqrt(c^2 - b^2)

a = sqrt(17.69^2 - 14^2)

a = 10.81

Step 3:

Use trignometry to find the values of sinA and tanA

sinA = opposite/hypotenuse = 14/17.69 = 0.79

tanA = opposite/adjacent = 14/10.81 =1.3

Answer:

AA postulate the two triangles are similar

Answer:

[tex]39^{\circ} + b= 180^{\circ} (linear \: pair)\\b= 180 - 39\\\boxed{b = 141^{\circ}}[/tex]

Answer:

The answer is 1/3

Step-by-step explanation:

Let the events of getting the no. greater than 4 be (>4).

Then,

n(s) = 6

n(>4) = 2

P(>4) = n(>4)/n(s)

=2/6

=1/3

Answer:

[tex]L[/tex] ≤ [tex]29[/tex]

Step-by-step explanation:

Given

Perimeter = 57 (at most)

Required

Determine the length of each side

The term at most in the values of the perimeter shows that the expression is an inequality and it means that perimeter can't exceed that value;

Let L represents the length of each sides;

Perimeter [tex]=L+L+L[/tex]

So,

[tex]L+L+L[/tex] ≤ [tex]57[/tex]

[tex]3L[/tex] ≤ [tex]57[/tex]

Divide both sides by 3

[tex]3L[/tex] ÷ [tex]3[/tex] ≤ [tex]57[/tex] ÷ [tex]3[/tex]

[tex]L[/tex] ≤ [tex]29[/tex]

Answer:

13$

Step-by-step explanation:

Dan purchased a set of knitting needles for $11 and 6 identical packs of yarn. The total cost was $89.

How muc[tex]rweds[/tex]h did each pack of yarn cost?

The total cost of each pack of yarn is $13.

The total cost of an item is the sum of the cost of all items that are purchased. Total cost for more items can be found by multiplying the number of items and the cost of the individual item.

For the given situation,

There are two items purchased knitting needles and packs of yarn.

Cost of knitting needle = $11

Number of packs of yarn purchased = 6

Total cost = $89

Let the cost of yarn be x.

The cost of the yarn can be find by using the equation,

Total cost = Cost of knitting needle + (number of yarn purchased × x)

⇒ [tex]89=11+6x[/tex]

⇒ [tex]6x=78[/tex]

⇒ [tex]x=13[/tex]

Hence we can conclude that the cost of each pack of yarn is $13.

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Permutation helps us to know the number of ways an object can be arranged in a particular manner. The number of ways the remaining player can be arranged is 1,814,400.

Permutation helps us to know the number of ways an object can be arranged in a particular manner. A permutation is denoted by 'P'.

[tex]^nP_r = \dfrac{n!}{(n-r)!}[/tex]

where,

n is the number of choices available,

r is the choices to be made.

Given that the team has 11 players while there are only 9 positions available, therefore, the number of ways the coach can choose 9 people and arrange them is,

[tex]^{11}P_9 = \dfrac{11!}{(11-9)!} = \dfrac{11!}{2!} = 19,958,400[/tex]

Now, since Amy does not want to be a pitcher, therefore, the number of ways the remaining people can be arranged in the place of the pitcher is 10.  Also, the position remaining in the team is 8, while the number of people remaining is 10. Thus, the number of ways the remaining people can be arranged are,

[tex]\text{Number of ways}= ^{10}P_8 =\dfrac{10!}{(10-8)!} = 1,814,400[/tex]

Hence, the number of ways the remaining player can be arranged is 1,814,400.

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Answer:

19,958,400,

10,

8,

1,814,400

Step-by-step explanation:

The length of the rectangle is determined as x - 5 while the width is x² + 3.

The length of the rectangle is determined by the following formula shown below;

Area = Length x width

L = A/w

           x  - 5

          ------------------------------------

x² + 3 √x³ - 5x² + 3x - 15

           -(x³  + 3x)

        --------------------------

             - 5x²  - 15

              -5x² - 15

        ----------------------------

                     0

Thus, the length of the rectangle is determined as x - 5 while the width is x² + 3.

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Answer:

5

Step-by-step explanation:

1. Add 7 to both sides of the equation:

2x = 10

2. Divide both sides by 2:

2x/2 = 10/2

x = 5

hope this helps!

Answer:

x=5

Step-by-step explanation:

2x-7+=3

add the 7 to both sides to cancel it out

2x=10

divide by 2

x=5

Answer:

99/101

Step-by-step explanation:

sin is essentially opposite over hypotenuse

hence, 99/101 is = sin(F)

Answer:

70-20=x

Step-by-step explanation:

210=3*20+3*necklace

3*necklace=210-3*20

necklace=70-20

Answer:

45.359237

Step-by-step explanation:

I believe this is the answer because if u convert u get 45.35

The first question is B

the second one is c

Q1.

7 ÷ 8 = 7/8

1 ÷ 8 = 1/8 Answer

8 ÷ 7 = 8/7

1 ÷ 8 = 1/8

Q2.

5 ÷ 6 = 5/6

6 ÷ 5 = 6/5

1 ÷ 6 = 1/6 Answer

6 ÷ 1 = 6/1 or 6

Hopefully it Help you out :-)

#1)

#2)

⇢3.9+5 = 8.9

⇢2.1 +5 = 7.1

⇢0.8+5 = 5.8

⇢1.5 +5 = 6.5

⇢4.1 +5 = 9.1

#3)

[ Thanks to fieryanswererft ]

Data: {3.9, 2.1, 0.8, 1.5, 4.1}

mean: sum of numbers/total numbers

⇒ mean: (3.9+2.1+0.8+1.5+4.1)/5 = 2.48

If all the data's are increased by 5

{8.9, 7.1, 5.8, 6.5, 9.1}

Then mean ⇒ (8.9+7.1+5.8+6.5+9.1)/5 ⇒ 7.48

If the data is doubled.

{7.8, 4.2, 1.6, 3, 8.2}

Then mean ⇒ (7.8+4.2+1.6+3+8.2)/5 ⇒ 4.96

Heyo!

RummySokka is here to help!!

Let's do this step-by-step explanation!

: Let's solve for the y.

[tex]x=a-2by^2[/tex]

Step 1: Flip the equation.

[tex]-2by^2+a=x[/tex]

Step 2: Add a- to your both sides.

[tex]-2by^2+a+a-a=x+-a[/tex]

[tex]-2by^2=-a+x[/tex]

Step 3: Divide both sides by -2b.

[tex]\frac{-2by^2}{-2b} =\frac{a+x}{-2b}[/tex]

[tex]y^2=\frac{a-x}{2b}[/tex]

Step 4: Take square root.

[tex]y=\sqrt{\frac{a-x}{2b} }[/tex] [tex]or[/tex] [tex]y-\sqrt{\frac{a-x}{2b} }[/tex]

Answer:

[tex]y=\sqrt{\frac{a-x}{2b} }[/tex] [tex]or[/tex] [tex]y-\sqrt{\frac{a-x}{2b} }[/tex]

Hopefully, this helps you!!

RummySokka~

[tex]2\sqrt 5 + 3 \sqrt{20}\\\\\\=2\sqrt 5 + 3 \sqrt{4 \times 5}\\\\\\=2\sqrt 5+ 3\cdot 2 \sqrt 5\\\\\\=2\sqrt 5 + 6 \sqrt 5\\\\\\=8\sqrt 5[/tex]

Answer:

Ethan sold 1/12 gallon more lemonade

Step-by-step explanation:

1 1/4 = 2/3 + x

x is the amount of lemonade Kayla sold

find least common denominator

1 3/12 = 8/12 + x

subtract 8/12 on both sides

15/12 - 8/12 = x

7/12 = x

7/12 = amount of lemonade Kayla sold

2/3 - 7/12 = how much more Ethan sold

8/12 - 7/12 = 1/12 gallon

radius= 7ft

height= 15ft

the amount of water the tank can hold as its maximum.

[tex]volume \: of \: cylinder = {\pi \: r}^{2} h[/tex]

[tex] = \pi \times {7}^{2} \times 15[/tex]

= 2309.07

therefore, the tank can hold 2309.07L of water as its maximum.

Answer:

What's the full question? I'm not sure how to help with just this information :(

Answer:

Answer choice A

Step-by-step explanation:

because Line ur and rs are equal and lines UT and TS are equal