A restaurant sells chicken nuggets in 6-piece and 9-piece cartons. in one day they sell a total of 162 nuggets in 23 cartons. how many of each size carton did the restaurant sell?

[tex]\cos \theta = \dfrac{\text{Base}}{\text{Hypotenuse}}\\ \\\\~~~~~~~=\dfrac{3}{\sqrt{3^2 +2^2}}~~~~~~~;[\text{Pythagorean theorem.}]\\\\\\~~~~~~~=\dfrac{3}{\sqrt{9+4}}\\\\\\~~~~~~~=\dfrac{3}{\sqrt{13}}[/tex]

Answer:

The answer is 5^4

Step-by-step explanation:

You are given the expression 5^18 times 5^6 while all over (5^10)^2

First, let's simplify the numerator

Whenever you multiply exponents with the same base, which is 5 in this case, you have to add the exponents or powers

Keep the base the same and 18 and 6 together

So, 5¹⁸ ° 5⁶ = 5¹⁸⁺⁶ = 5²⁴

you have 5²⁴ in the numerator

now let's work on simplifying the denominator

Whenever you have number that has a power and is taken to another power, you multiply the powers

We call this the power of the power rule

So, (5¹⁰)² = 5¹⁰ˣ² = 5²⁰

Now the denominator is 5^20

We have 5^24/5^20

Now you just subtract the powers 24-20=4

And you get 5^4

Hope this helps

Answer:

-10x + 11/x

Step-by-step explanation:

I think you mean to simplify

1/3x(5+(7)(4))-10

= -30x + 33/3x

= -10x + 11/x

Answer:

$4.5

Step-by-step explanation:

Hot dogs=h

Cheese burgers=c

2h+3c=20

2h+5c=29

There are two ways to solve-

1. Elimination- multiply the bottom by -1.

2h+3c=20

-2h-5c=-29

-2c=-9

c=4.5

2. Just move 2h, and you get 2c=9, 4.5

Answer:

3672 sq in

Step-by-step explanation:

The area painted would be 3672 sq in.

Answer:

100 & 80

Step-by-step explanation:

100 appears twice...same with 80

Answer:

C. by a facotor of 3

Step-by-step explanation:

The approximate value of the figure in the graph is [tex]\sqrt{3[/tex]

So if you were to draw a figure that is congruent to the one drawn it would be C. by a factor of 3.

The GCF and distributive property is used in factoring two or more numbers.

The GCF (greatest common factor) is the greatest common divisor of two or more integers i.e. the largest positive integer that divides each of the integers.

The GCF and distributive property is used in factoring two or more numbers.

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Answer: 24 units²

Step-by-step explanation:

      We will use the formula for the area of a parallelogram and solve.

      A = bh

      A = 6 * 4

      A = 24 units²

      Isn't this the same formula used for a rectangle? Correct! See attached, the "extra triangle" on the left side can be moved to the right side, and then we solve it like it is a rectangle.

Answer:

20

Step-by-step explanation:

It is stated that the triangles in the figure are similar:

We can use the side lengths' proportions to find the length of TY

UT/ZY = XT/TY

(9.6)/16 = 12/TY cross multiply expressions:

192 = (9.6)TY divide both sides by 9.6

20 = TY

Answer:

A- 900 degrees

B- 1800 degrees

C- 540 degrees

The sum of the interior angles of a heptagon is 900 degrees. The interior angles of a dodecagon add up to 1800. The interior angles of a pentagon add up to 540.

Answer:

Step-by-step explanation:

51+90=141.3

180-141.3=38.7

90+38.7+51.3

So 4 and a number equal 90 degrees.

51.3 degrees are the number of 4 and c^2

We can use the Pythagorean theorem to find out that a^2 is 16

16 and b^2 will equal c^2 or the missing angle for 51.3 degrees.

a=51.3

b=90 meaning it has a 38.7 more of an angle than the 4 on the bottom.

Meaning it will be 7.02

7.02+4=11.02

The midpoint of the coordinate pq is (-7.5, -5.5) while the distance between the two coordinate points is 5√2

The midpoint of a line is the coordinate point that divides the coordinates into two equal parts.

The formula for calculating the midpoint is expressed as:

[tex]m(x,y)=(\frac{x_1+x_1}{2} ,\frac{y_1+y_2}{2} )[/tex]

Given the coordinate points p(-10, -8) and (-5, -3).

Calculate the midpoint of pq

[tex]m(x,y)=(\frac{-10-5}{2} ,\frac{-8-3}{2} )\\m(x,y)=(\frac{-15}{2} ,\frac{-11}{2} )\\m(x,y)=(-7.5,-5.5)[/tex]

Hence the midpoint of the coordinate pq is (-7.5, -5.5)

Determine the distance pq

pq = √(-3+8)²+(-5+10)²

pq = √(5)²+(5)²

pq = √50

pq = 5√2

Hence the distance between the point pq is 5√2

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Answer:

16 rows, 8 seedlings left.

Step-by-step explanation:

Divide 200 by 12, since 200 seedlings are going to be split in 12 groups in order to fill the rows.

200 ÷ 12 = 16 with a remainder of 8.

The remainder is basically what is left.

Since 12 seedlings are planted in each row, 8 seedlings is not enough to completely fill the row. So, the answer is 16 rows with 8 seedlings left.

Hope this helped !

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here we go ~

[tex]\qquad \tt \dashrightarrow \: \sin(x) = 0.6[/tex]

[tex]\qquad \tt \dashrightarrow \: \sin(x) = \dfrac{6}{10} [/tex]

[tex]\qquad \tt \dashrightarrow \: \sin(x) = \dfrac{3}{5} [/tex]

[tex]\qquad \tt \dashrightarrow \:x = \sin {}^{ - 1} ( \dfrac{3}{5} ) [/tex]

[tex]\qquad \tt \dashrightarrow \:x = 37 \degree[/tex]

Now, since we have to find the value of x in quadrant 2, we have to subtract the given value from 180°

that is :

[tex]\qquad \tt \dashrightarrow \:x = 180 - 37[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 143 \degree[/tex]

First, add 3 to both sides:-

[tex]\sf{8p=13+3}[/tex]

[tex]\sf{8p=16}[/tex]

Now, divide both sides by 8:-

[tex]\bigstar{\boxed{\pmb{p=2}}}[/tex]

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

49cm^2

All lengths are equal in a square

A= b x h

= 7 x 7

=49

Hope this helps!

Given,

[tex] \: [/tex]

To Find,

[tex] \: [/tex]

Solution :

First of all, we'll find the circumference of the circle :

[tex]\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: \: Circumference_{(circle)} = 2 \pi r}}}}}} \: \: \bigstar \\ \\[/tex]

Now, we'll substitute the required values in the formula :

[tex]\\ { \longrightarrow \qquad{ \sf{ \: \: Circumference_{(circle)} = 2 \times 3.14 \times 3.5}}} \: \: \\ \\[/tex]

[tex] { \longrightarrow \qquad{ \sf{ \: \: Circumference_{(circle)} = 3.14 \times 7}}} \: \: \\ \\[/tex]

[tex] { \longrightarrow \qquad{ \sf{ \pmb{ \: Circumference_{(circle)} = 21.98}}}} \: \: \\ \\[/tex]

Therefore,

[tex] \: [/tex]

Now, we'll find the area of the circle :

[tex]\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: \: Area_{(circle)} = \pi r^2}}}}}} \: \: \bigstar \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ {{ { \sf{ \: \: Area_{(circle)} = 3.14 \times { \times (3.5)}^{2} }}}}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ {{ { \sf{ \: \: Area_{(circle)} = 3.14 \times { \times 3.5 \times 3.5 }}}}}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ {{ { \sf{ \: \: Area_{(circle)} = 3.14 \times 12 .25 }}}}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ {{\pmb { \sf{ \: \: Area_{(circle)} = 38.465 }}}}}} \: \: \\ \\[/tex]

Therefore,

Answer:

81π

Step-by-step explanation:

To find the area of a circle, the formula is πr^2

r=radius, and radius is half the diameter, so it is 9.

Plug the radius into the formula to get 81π

(9^2*π)

If this answer helped you, I would greatly appreciate the brainliest :D

Answer:

To be situated on the sides of the Ruby (Surrounding the Ruby)

Step-by-step explanation:

The cost of each baseball is $3.50, option A is correct.

Given that the Number of baseballs are 7.

Cost of the bat = $42.00

Total cost before tax = $66.50

The total cost of the baseballs can be calculated by multiplying the cost of each baseball by the number of baseballs:

Total cost of baseballs = 7 × x

The total cost of all items, including the baseballs and the bat, is the sum of the individual costs:

Total cost = Total cost of baseballs + Cost of the bat

$66.50 = 7x + $42.00

We need to solve this equation for x.

Subtracting $42.00 from both sides:

$66.50 - $42.00 = 7x

$24.50 = 7x

Dividing both sides by 7:

$24.50 / 7 = x

x = $3.50

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Answer:

x = 45.79°

Step-by-step explanation:

You can use sin Θ to find the value of x.

Let us find it now.

Sin x = Opposite / Hypotenuse

Sin x = 38 / 53

Sin x = 0.7169

x = Sin ⁻¹ 0.7169

x = 45.79°

Answer:

I assume this is area.

5×7=35

12×9= 108

add 35 and 108 = 143

if this isn't area send a comment and I'll give the answer if it's something different

Answer: Trapezoid

Step-by-step explanation:

Answer:

it is B.

Step-by-step explanation:

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