A cookie recipe requires 3 teaspoons of baking soda for 36 cookies. If the baker would like to make 480 cookies, how much baking soda will be required?

a
13.33 teaspoons
b
12 teaspoons
c
40 teaspoons
d
108 teaspoons

Answer:

Option A is the correct option.

Step-by-step explanation:

Base (b) = 5 ft

Perpendicular (P) = 6 ft

Hypotenuse (h) = ?

Now,

Using Pythagoras theorem,

[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]

[tex] {h}^{2} = {(6)}^{2} + {(5)}^{2} [/tex]

[tex] {h}^{2} = 36 + 25[/tex]

[tex] {h}^{2} = 61[/tex]

[tex]h = \sqrt{61} [/tex]

[tex]h = 7.8 \: ft[/tex]

Hope this helps...

Good luck on your assignment

Answer:

a. 7.8

Step-by-step explanation:

Answer:

410.4

136.8

Step-by-step explanation:

Because the post office processes 45.6 letters every hour and is open 9 days an hour, it processes 45.6*9, or 410.4 letters per day.  Because it is open on Christmas for 3 hours more than normal days(12-9), it produces 45.6*3, or 136.8 more letters on Christmas.

Hope it helps <3

Answer:

A. 410.4 letters

B. 136.8 more letters

Step-by-step explanation:

1.

We know that the post office processes 45.6 letters per hour. If we want to know how many letters they process in 9 hours, we can multiply 45.6 and 9.

45.6 * 9

Multiply

410.4

The post office can process 410.4 letters in 9 hours, therefore A is correct.

2.

The post office still process 45.6 letters per hour, but they are open for 12 hours. First, multiply 12 and 45.6.

12 * 45.6

547.2

We are asked to find how many more letters they can process. We need to find the difference between the letters they normally process and the letters they process on Christmas.

Christmas - normal

They process 547.2 on Christmas and 410.4 normally.

547.2 - 410.4

136.8

They process 136.8 more letters on Christmas. Therefore, choice B is correct. Thank

Answer:

(6,4)

Step-by-step explanation:

This question asks you to dilate by a factor of 2, and from the origin. Because it is from the origin, we can simply multiply the coordinates of Y by 2

3*2=6

2*2=4

so the result is 6,4

The dilation of the coordinate Y(3, 2) by 2 is  (6, 4). we just have to multiply the y coordinate by 2.

Dilation simply means changing the size of an object without changing its shape.

In other words dilation is a transformation that reudces or enlarges a particular shape.

Therefore, we are asked to dilate the coordinate of y by 2.

Hence, we have to multiply the coordinates of y by 2 to get the new dilated figure.

Dilation of Y by 2 is 2(3, 2) = (6, 4)

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Answer:

The answer is 2.6 but that's not listed as an option so try 2.5?

Answer:

The percentage that of people who gave the movie a rating between 6.8 and 8.8

P(6.8≤X≤8.8)  = 83.9≅ 84 percentage

Step-by-step explanation:

Step(i):-

Mean of the Population = 8.3 points

Standard deviation of the Population = 0.5 points

Let 'X' be the random variable in normal distribution

Let X = 6.8

[tex]Z = \frac{x-mean}{S.D} = \frac{6.8-8.3}{0.5} = -3[/tex]

Let X = 8.8

[tex]Z = \frac{x-mean}{S.D} = \frac{8.8-8.3}{0.5} = 1[/tex]

The probability that of people who gave the movie a rating between 6.8 and 8.8

P(6.8≤X≤8.8) = P(-3≤Z≤1)

                     = P(Z≤1)- P(Z≤-3)

                    =  0.5 + A(1) - ( 0.5 -A(-3))

                   = A(1) + A(3)       (∵A(-3)=A(3)

                  =  0.3413 +0.4986    (∵ From Normal table)

                 = 0.8399

Conclusion:-

The percentage that of people who gave the movie a rating between 6.8 and 8.8

P(6.8≤X≤8.8)  = 83.9≅ 84 percentage

Answer:

15%

Step-by-step explanation:

Question:

The price of a jacket was slashed from Rs.960 to Rs.816.Then the rate of discount offered is​

Solution

Original price= Rs.960

Discount price= Rs.816

Difference in price=Original price - discount price

=Rs. 960 - Rs. 816

=Rs. 144

Percentage discount= Difference in price / Original price × 100

=Rs. 144 / Rs. 960 × 100

=0.15 × 100

=15%

The percentage discount =15% NOT 10% as you have written

The statement is valid because the measure of the vertices located in the center of the pentagon is the quotient of 360 and 5, and the sum of two base angles in the given isosceles triangle is 108.

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

Explanation:

Check out the diagram below. I have added x and y such that

x = base angle

y = vertex angle (located adjacent to center of polygon)

The pentagon is sliced up like a cake into 5 equal portions. Each vertex angle is y = 360/5 = 72 degrees.

The two base angles x must add with the vertex angle y to get 180

(angle1)+(angle2)+(angle3) = 180

x+x+y = 180

2x+y = 180

2x+72 = 180

2x = 180-72

2x = 108

This is true for any one of the five triangles. Notice that for angle LMN, we can divide it into LMQ and QMN where Q is the center of the polygon. Both of these angles are x. Since we've shown 2x = 108, we can see that LMN must also be 108 as well.

Choice A is close, but we wouldn't use the exterior angle theorem. Choice B is the better answer.

Answer:

We are to find the error made by Sadie and then find the correct simplification.

The error Sadie made is that she wrote [tex]a^7[/tex] as [tex]a^2 * a^5[/tex] instead of [tex]a^6 * a[/tex].

The square root of [tex]a^6[/tex] is [tex]a^3[/tex] and so she could have further simplified.

The correct simplification is shown below:

[tex]\sqrt{54a^7b^3} = \sqrt{2 * 3 * 3 * 3 * a^6 * a * b^2 * b} \\ \\= \sqrt{3^2 * a^6 * b^2 * 6 * a * b} \\\\= 3a^3b\sqrt{6ab}[/tex]

Answer:

We are to find the error made by Sadie and then find the correct simplification.

The error Sadie made is that she wrote as instead of .

The square root of is and so she could have further simplified.

Step-by-step explanation:

On edge2021

Answer:

The correct answer is 50.6195

Step-by-step explanation:

The probability that only girls bought lunches is given as D. 50%

To find the probability that only girls bought lunches, we solve:

We can see that the total number of girls is 30 and the total number of both boys and girls is 60

So, to solve, it becomes:

30/60= 50%

Probability is a mathematical concept used to measure the likelihood of an event occurring, ranging from 0 (impossible) to 1 (certain), and is calculated using ratios, frequencies, or subjective judgments.

Read more about probability here:

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Answer:

1/4

1/2

3/4

Step-by-step explanation:

Given:

Types of colors in the spinner

Yellow 1

Red 2

Blue 1

Total:4

Successful outcome of Yellow:1

Successful outcome of Red:2

Successful outcome of Blue:1

Required:

Probability of the

Formula:

Probability= successful outcome ÷ possible outcome

Solution

Probability=1 ÷ 4

Probability= 2÷4

Probability= 3÷4

Hope this helps ;) ❤❤❤

Answer:     .28

Step-by-step explanation:

.3+.42= .72

1-.72=.28

Answer:

0.28

Step-by-step explanation:

The sum of a list of probabilities = 1

Sum of given probabilities = 0.72

So, probability of getting pasta = 1-0.72 = 0.28

Hope this helps

Hey there! :)

Answer:

$10 balcony

$15 orchestra

Step-by-step explanation:

We can solve for the prices of each seat by creating an algebraic expression:

Let 'x' be the cost of a balcony seat:

and 'x + 5' be the cost of an orchestra seat.

200 of both seats were sold, therefore:

200(x) + 200(x + 5) = 5000

Distribute:

200x + 200x + 1000 = 5000

Combine like terms:

400x + 1000 = 5000

Subtract 1000 from both sides:

400x = 4000

Divide:

x = $10 for the balcony seat.

Substitute this value of x to solve for the cost of an orchestra seat:

(10) + 5 = $15.

Therefore:

$10 balcony

$15 orchestra

Answer:

(5,3)

Step-by-step explanation:

Well to solve the following,

y = 8 - x

y = x - 2

Graphically.

We need to graph both equations,

Look at the image below ↓

By looking at the graph we can tell the intercept point is at (5,3).

Thus,

the solution is (5,3).

Hope this helps :)

Answer:

5.541 gallons

Step-by-step explanation:

The fish tank is 1280 cubic inches, which equates to 5.541 US liquid gallons.

Answer:

5.54 gallons     (aprox.)

Step-by-step explanation:

volume = 16in * 10in * 8in

volume = 1280in³

Convert cubic inch to gallons is:

1 inch³ = 0.004329 gallon

then:

1280in³ = 1280*0.004329 = 5.54 gallons  (aprox.)

Answer: The systems are solved by solving for one variable in one of the equations, then substituting that equation into the second equation. Solve for a in the second equation, then substitute the second equation into the first. The Elimination Method: Both equations are in standard form:            Ax + By = C.

Answer:

1/4

Step-by-step explanation:

Answer:

Your answer is correct

Step-by-step explanation:

(2^5/4)² = 4^5/2 = √4^5

The correct answer is option B which is [tex]\sqrt{2^5}[/tex].

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The expression will be solved as follows:-

[tex]E = ([ 2^{\frac{1}{2}} \times 2^{\frac{3}{4}}])^2\\E = (2^{({\frac{1}{2}+\frac{3}{3}})})^2\\E = (( 2 )^ {\frac{5}{4})}^2 \\E = ( 2 ) ^{\frac{5}{2}}\\E = \sqrt{2^5}[/tex]

Therefore the correct answer is option B which is [tex]\sqrt{2^5}[/tex].

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Answer: V = 24*(x - 4) with the condition x > 4.

Step-by-step explanation:

The volme of a cube/box is equal to:

V = W*L*H

where W = width, L = lenght and H = heigth.

First:

We know that the cubes cut in the corner have a side length of 2.

Then the remaining part is folded up, and this is now the height.

So the height of the box is equal to 2.

Now, we know that the initial measures of the piece of paper are x by 16

But now, in each extreme, we subtracted 2 units, that are now the new heiht, so now the piece of paper is (x -2 -2) by (16 -2 - 2)

or (x - 4) by 12.

Then the volume of the box is:

V = (x -4)*12*2 = 24*(x -4)

Notice something, if x is equal or smaller than 4, then we have a negative volume or a volume equal to zero. Those are problems in our model, so we should use the condition x > 4.

Step-by-step explanation:

The figure above is a cube since all it's sides are equal

Volume of a cube = l³

where l is the length of one side

From the question

l = 5

So the volume of the cube is

Volume = 5³

Surface area of a cube = l²

= 5²

Hope this helps you

Answer:

the third graph is correct

Step-by-step explanation:

edge

the second part is x<1

Answer:

the third graph and the send part it is x<1

Step-by-step explanation:

Answer:

First question: last option

The triangle inequality states that the sum of he two shortest sides of a triangle must be greater than the longest side, therefore the answer is 14, 6, and 9 because 6 + 9  > 14 is a true statement.

Second question: I'm not sure, sorry

Third question: second option

He never specified if 85° was the base angle or not so he could draw 2 triangles: one with 85° as the base angles and one with 85° as the other angle.

Answer:

Step-by-step explanation:

first : Side = 13 cm, side = 6 cm,  side =6  

second : Side = 13 cm and 5 and 8

third: Side = 14 cm, side = 7 cm and 6

forth : 14 cm, side = 6 cm, side = 9 cm

to form a triangle the theory is: a+b>c and b+c>a and a+c>b

first one : a=13 b=6 and c=6 ( not a triangle)

second: a=13 b=5 and c=8 ( not a triangle)

third : a=14,b=7,c=6 (not a triangle)

forth : a=14,b=6,c=9 ( a triangle 14+6>9,6+9>14, and 9+14>6)

Wendy description :Triangle A: All sides have length 9 cm.

Triangle B: Two sides have length 10 cm, and the included angle measures 60°

Triangle C: Two angles measure 50°.

Triangle D: Base has length 8 cm, and base angles measure 45°

triangle A is equilateral triangle all sides are equal it is a special triangle because it has three sides and angles equal.

Triangle C: is not unique because you can not specify triangles by given angles only

Victor is incorrect, because more than one triangle can be drawn with the given information because only two sides are given and the third con be different.

Answer:

He hiked 10 miles.

Step-by-step explanation:

rate x time = distance

The distance up and the distance down are equal

3 mi/1 hr  x (h hours + 2/3 hr) = 5 mi/1 hr  x  h hours

3h + 2 = 5h

2 = 2h

h = 1 hour

3mi/hr  x 1 2/3 hr = 5 miles

5 mi/hr x  1 hr = 5 miles

Answer:

The height of the cylinder is 4 x units.

The area of the cylinder’s base is One-fourthπx2 square units

Step-by-step explanation:

Formula for volume of the cylinder:

V = r² π h

Volume of the cylinder=

πx^3

Diameter=x

Radius (r)=diameter/2

=x/2

V = r² π h

πx^3=(x/2)^2πh

πx^3=(x^2/4)πh

Divide both sides by π

x^3=(x^2/4)h

Make h the subject of the formula

h=x^3÷x^2/4

=x^3×4 / x^2

=4x^3 / x^2

=4*x*x*x / x*x

h=4x

Area of the base:

B = r² π

Recall, r=x/2

B=(x/2)^2 * π

=(x^2/4)π

=πx^2/4

=1/4(πx^2)

The area of the cylinder’s base is One-fourthπx2 square units.

Answer:

B & E

Step-by-step explanation:

Edge 2020

Answer:

72º

Step-by-step explanation:

Hey there!

Well the interior of a pentagon's angle is 108º,

so we do,

180 - 108 = 72º

Hope this helps :)

Answer:

72°

Step-by-step explanation:

→ First find the measure of all interior angle, utilise the formula (n-2) × 180° where n is the number of sides

(n-2) × 180° ⇔ (5-2) × 180° ⇔ 3 × 180° ⇔ 540°

→ 540° is the total sum of the angles in the pentagon, divide this by 5 to get one of the interior angles

540° ÷ 5 = 108°

→ Now, remember the fact that 1 interior + 1 exterior angle = 180°

180 - ( 1 interior angle ) → 180 - (108) = 72°

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 6) and (x₂, y₂ ) = (8, - 4) ← 2 points on the line

m = [tex]\frac{-4+6}{8-0}[/tex] = [tex]\frac{2}{8}[/tex] = [tex]\frac{1}{4}[/tex]

The line crosses the y- axis at (0, - 6 ) ⇒ c = - 6

y = [tex]\frac{1}{4}[/tex] x - 6 → B

Answer:

I think it's a

Step-by-step explanation:

Because this would ddetermine if the software lab is successfull working.

Answer:

9 years

Step-by-step explanation:

hope it helps the

the explanation is kinda long

Answer: No

Step-by-step explanation:

No, because 4^2 is 16, 8^2 is 64, 10^2 is 100 and 16+64 = 80 and 80≠100

Answer:

hope this helps :)

Step-by-step explanation:

.......

Answer:

Step-by-step explanation:

1.50x + 10[x/30] >= 450

x >= 246.3

check:

1.50*246 + 10*8 = 449

$450