Jerri was using a recipe for a large cake that required one-third of a tablespoon of cinnamon. Instead of making one large cake, Jerri decided to use the recipe to make four small cakes. How much should she use for each of the four small cakes?

A) 1/12 of a tablespoon
B) 1/3 of a tablespoon
C) 4/3 of a tablespoon
D) 1/4 of a tablespoon

Answer:

the numbers are 20 and 30

Answer:

first 10 of 5

5 10 15 20 25 30 35 40 45 50

First 10 of 6

6 12 18 24 30 36 42 48 54 60

Step-by-step explanation:

Just add 5 to 5 and that is your next multiple then keep going 10 time and same thing for 6.

The dimensions of the box are 10 ft and 5 ft

The maximum volume is 500 ft³

Step-by-step explanation:

A rectangle box with

Surface area of a box without top (SA) = perimeter of base × height + area of the base

Volume of a box (V) = base area × height

Assume that the length of the side of the square base is x and the height of the box is y

∵ It needs to be made using 300 ft² of material

∴ The surface area of the box is 300 ft²

∵ Its base is a square of side length x ft

∴ Perimeter of the base = 4 × x = 4 x

∴ Area of the base = x²

∵ The height of the box = y ft

∵ SA = perimeter of base × height + area of the base

∵ SA = (4x)(y) + x²

∴ SA = 4xy + x²

∵ SA of the box = 300 ft²

- Equate the two expressions of SA

∴ 4xy + x² = 300

Now let us find y in terms of x

- Subtract x² from both sides

∴ 4xy = 300 - x²

- Divide each term by 4x to find y

∴ [tex]y=\frac{75}{x}-\frac{1}{4}x[/tex]

∵ V = area of the base × height

∴ V = x² × y = x²y

- Substitute y by the equation of it above

∴ [tex]V=x^{2}(\frac{75}{x}-\frac{1}{4}x)[/tex]

∴ [tex]V=75x-\frac{1}{4}x^{3}[/tex]

∵ The volume of the box is greatest

- That means differentiate V and equate it by 0

∵ [tex]\frac{dV}{dx}=75-\frac{3}{4}x^{2}[/tex]

∵ [tex]\frac{dV}{dx}=0[/tex] ⇒ greatest volume

∴ [tex]75-\frac{3}{4}x^{2}=0[/tex]

- Subtract 75 from both sides

∴ [tex]-\frac{3}{4}x^{2}=-75[/tex]

- Divide both sides by [tex]-\frac{3}{4}[/tex]

∴ x² = 100

- Take √ for both sides

∴ x = 10

Substitute the value of x in the equation of y

∵ [tex]y=\frac{75}{10}-\frac{1}{4}(10)[/tex]

∴ y = 5

The dimensions of the box are 10 ft and 5 ft

∵ [tex]V=75x-\frac{1}{4}x^{3}[/tex]

∵ x = 10

∴ [tex]V=75(10)-\frac{1}{4}(10)^{3}[/tex]

∴ [tex]V=750-\frac{1}{4}(1000)[/tex]

∴ V = 750 - 250

∴ V = 500 ft³

The maximum volume is 500 ft³

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Answer:

$290.25

Step-by-step explanation:

32.25 x 9 = 290.25

Answer:

$290.25

Step-by-step explanation:

You just need to multiply the money and the days together to get your answer

$32.26 times 9 days

Answer:

The final answer is 4∛7 cm.

Step-by-step explanation:

Given:

Volume of cube is 448 cm³.

Now, to find the length side(a) of cube.

Putting the formula of volume(v) of cube to get the side:

[tex]V = a^{3}[/tex]

[tex]448= a^{3}[/tex]

[tex]\sqrt[3]{448} = a[/tex]

[tex]4\times 4\times 4\times 7 = a[/tex]

[tex]4\sqrt[3]{7} = a[/tex]

The length side of a cube = 4∛7 cm.

Therefore, the final answer is 4∛7 cm.

Answer:

y=-5x-36

Step-by-step explanation:

-66-(-61)= -5

6-5= 1

-5/1= -5

Y=-5x + B

-66= -5(6) + B

-66= -30 + B

-66 + 30 = (-30 +30) + B

-36 = B

Y= -5x-36

Answer:

37 : 46

Step-by-step explanation:

I nickel is equivalent to 0.05 dollars.

So, 37 nickels are equivalent to (0.05 × 37) = 1.85 dollars.

Again, we can write 1 dime is equal to 0.1 dollars.

So, 23 dimes are equivalent to (23 × 0.1) = 2.3 dollars.

Therefore, to compare 37 nickels to 23 dimes as a ratio reduced to lowest term will be 1.85 : 2.3 = 185 : 230 = 37 : 46 (Answer)

Final answer:

To write the comparison of 37 nickels to 23 dimes as a ratio in lowest terms, you convert the value of nickels and dimes to cents and simplify the ratio value-wise, resulting in a simplified ratio of 37:46.

Explanation:

The student is asking to express the comparison of 37 nickels to 23 dimes as a ratio reduced to lowest terms. Since both nickels and dimes are types of coins, it helps to understand that their value does not directly translate to a quantity ratio but rather a value ratio. A nickel is worth 5 cents, and a dime is worth 10 cents. Therefore, the value ratio of nickels to dimes is 5 cents per nickel to 10 cents per dime.

To find the simplified ratio, we can represent the comparison of the value of 37 nickels to 23 dimes as:

This ratio can be reduced by dividing both terms by the greatest common divisor of 185 and 230, which is 5:

So, the simplified ratio is 37:46.

Answer:

2400

Step-by-step explanation:

Plz do brainliess  answer

Answer: 2,400

Step-by-step explanation: You're rounding  2,500 to the nearest least whole hundred  number, so that would be 2,400 I hope I explained that right...

Answer: shown below

Step-by-step explanation:

It’s hard to explain but,

First you need to find the slope and y intercept of the equation and graph that. Graph y=3x-5. Graph y= -2x+3. Graph y=2. (In case you don’t know, f(x) is y.)

Then use the equation after the “if”. For example, to graph -1 < x < 4 for the equation y= -2x+3, find the numbers -1 and 4 located on the graph and find the points y=-2x+3 has on number -1 and 4. Both numbers are a open circle.

Do the same for the rest of the equations.

For the equation y= 2, the equation is x>4 (there’s a line under >, just can’t add it), Locate 4 on the graph. Find the point above 4. It is a closed circle pointing to the right because it is all numbers greater than or equal to 4.

Then for the equation y= 3x-5, the equation for it is x< -1. (Again, there’s a line under <) Find -1 on the graph. Look for the point y=3x-5 has under -1. It is a closed circle because all numbers are less than or equal to -1.

Answer:

It is not a right triangle.

Step-by-step explanation:

We can prove this by Pythagorean theorem because it represents to a right triangle.

Pythagorean theorem:

a² + b² = c²

Now substitute the values.

Note: the longest side will represent c

So,

a = 10 m

b = 16 m

c = 20 m

10² + 16² = 20²

The objective here is to make them equal.

100 + 256 = 400

356 ≠ 400

They are not equal so it is not considered a right triangle.

By applying the Pythagorean theorem to the triangle with side lengths of 10 metres,16 metres, and 20 metres, we can verify that it is a right-angled triangle due to the equality 10² + 16² = 20².

In Mathematics, specifically in Geometry, we can determine if a triangle is a right triangle using the Pythagorean theorem. This theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This formula is expressed as a² + b² = c² where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

Applying the Pythagorean theorem to the triangle with side lengths of 10 metres,16 metres, and 20 metres, we set 20 metres (the largest measurement) as c (the hypotenuse) and the other two measurements as a and b. Thus, the equation becomes 10² + 16² = 20². After calculating, we find that 100 + 256 does indeed equal 400. Because these values are equal, the triangle is a right angled triangle.

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Answer:

x= -9.3

Step-by-step explanation:

assuming i have to calculate x from the given equation that is

[tex]\frac{5}{6} of x= -8[/tex]

⇒[tex]5x= -48[/tex]

⇒x= -48/5= -9.3

therefore x= -9.3

Answer:

60

Step-by-step explanation:

90=30%x

x=30

200%x=2x=60

Answer:

600

Step-by-step explanation:

30%=0.3

0.3x=90

x=90/0.3=300

200%=2

2(300)=600

Answer:

-29/6

Step-by-step explanation:

1 1/6=7/6

-3 2/3=-11/3

-11/3-7/6

-22/6-7/6=-29/6

Answer:

9 × 5= 45 .Frankie has 9 nickles.

Step-by-step explanation:

Because 5 divided by 45 equals to 9.

The price of one adult ticket is $ 11 and the price of one student ticket is $ 11

Given that , Mofor’s school is selling tickets to the annual dance competition.  

Let the cost of one adult ticket be $m and the cost of one student tickets be $n.

On the first day of ticket sales the school sold 7 adult tickets and 6 tickets for a total of $143.  

[tex]\text { Then, } 7 \times \text { cost of one adult ticket }+6 \times \text { cost of one student ticket }=\$ 143[/tex]

7m + 6n = 143 ------- eqn (1)

The school took in $187 on the second day by selling 4 adult tickets and 13 student tickets.  

[tex]\text { Then, } 4 \times \text { cost of one adult ticket}+13 \times \text { cost of one student ticket}=\$ 187[/tex]

4m + 13n = 187  ------ eqn (2)

We have to find the price of an adult ticket and the price of a student ticket.

Now, let us solve the equations.

Multiply eqn 1 by 4

28m + 24n = 572  ----- eqn 3

Multiply eqn 2 by 7

28m + 91n = 1309  ---- eqn 4

Now subtract eqn 4 from eqn 3

28m + 24n = 572

28m + 91n = 1309

(- )--------------------------------------

– 67n = - 737

67n = 737

n = 11

Plug in n = 11 in eqn 1

7m + 66 = 143

7m = 143 – 66

m = 11

Hence, the cost of one adult ticket is $ 11 and cost of one student ticket is $11

Answer: About 32% of the average adult female body is made out of water.

Step-by-step explanation:

According to the data given in the exercise [tex]\frac{8}{25}[/tex] of the body of an average adult female is made out of water.

Then, you need to convert from fraction to percent. The steps are:

1. Divide the numerator of the fraction (In this case the numerator is  8) by the denominator of the fraction (In this case the denominator is 25). Then:

[tex]\frac{8}{25}=0.32[/tex]

2. Multiply the result 0.32 by 100:

[tex]0.32*100=32\%[/tex]

Therefore,  about 32% of the average adult female body is made out of water.

The equation of line perpendicular to line containing points (-3, 4) and (1, 0) and passes through (-2, 6) in point slope form is y = x + 8

Given that line m contains points (-3, 4) and (1, 0)

We are asked to find the equation of line perpendicular to line containing points (-3, 4) and (1, 0) and passes through (-2, 6)

Let us first find slope of the line "m"

Given two points are (-3, 4) and (1, 0)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]\left(x_{1}, y_{1}\right)=(-3,4) \text { and }\left(x_{2}, y_{2}\right)=(1,0)[/tex]

[tex]m=\frac{0-4}{1-(-3)}=-1[/tex]

Thus slope of line m is -1

We know that product of slope of given line and perpendicular line are always -1

So, we get

[tex]\begin{array}{l}{\text { slope of line } m \times \text { slope of perpendicular line }=-1} \\\\ {-1 \times \text { slope of perpendicular line }=-1} \\\\ {\text { slope of perpendicular line }=1}\end{array}[/tex]

So we have got the slope of perpendicular line is 1 and it passes through (-2, 6)

Let us use the point slope form to find the required equation

The point slope form is given as:

[tex]y - y_1 = m(x - x_1)[/tex]

[tex](x_1, y_1) = (-2, 6)[/tex] and m = 1

y - 6 = 1(x - (-2))

y - 6 = x + 2

y = x + 8

Thus equation of required line in point slope form is y = x + 8

Answer:

1)121.5 sq.yards

2)157.92 m²

3)5.434 ft²

4)147.4513 cm²

5)147 cm²

6)56 in²

Step-by-step explanation:

1) Area of shaded region= Area of rectangle-Area of triangle

Area of rectangle= Length*Breadth=18*9 sq.yards=162 sq.yards(length=18 yards and breadth=9 yards)

Area of triangle= [tex]\frac{1}{2}*Base*Height[/tex]=[tex]\frac{1}{2}*9*9[/tex]=40.5 sq.yards(base=9 yards and height= 9 yards)

Therefore,Area of shaded region=162-40.5=121.5 sq.yards

2) In the following figure,

Length of rectangle, l= 21 m

breadth of rectangle, b= 15 m

Radius of circles, r= 5 m

Area of rectangle=l*b=21*15=315 m²

Area of circle= π[tex]r^{2}[/tex]=π*[tex]5^{2}[/tex]=78.54 m²

Therefore,Area of shaded region= Area of rectangle-2*Area of circle

                                                       =315-2*78.54=157.92 m²

3) In the following figure,

Radius of circle, r= 2 ft

Base of triangle, b= 6 ft

Height of triangle, h=6 ft

Area of circle= π[tex]r^{2}[/tex]=π*[tex]2^{2}[/tex]=12.566 ft²

Area of triangle= [tex]\frac{1}{2}*Base*Height[/tex]

                         =[tex]\frac{1}{2}*6*6[/tex]=18 ft²

Therefore,Area of shaded region= Area of triangle- Area of circle

                                                       = 18-12.566=5.434 ft²

4) In the following figure,

Radius of circle, r= 6 cm

Length of rectangle, l= 17 cm

breadth of rectangle, b= 2*r= 12 cm

Area of semi-circle= π[tex]\frac{r^{2}}{2}[/tex]=π*[tex]\frac{6^{2}}{2}[/tex]

                               =56.5487 cm²

Area of rectangle=l*b=17*12=204 cm²

Therefore,Area of shaded region= Area of rectangle- Area of semi-circle

                                                       = 204-56.5487=147.4513 cm²

5) In the following figure,

Side of bigger square, a=14 cm

Side of smaller square, b=7 cm

Area of bigger square= [tex]a^{2}[/tex]=[tex]14^{2}[/tex]=196 cm²

Area of smaller square= [tex]b^{2}[/tex]=[tex]7^{2}[/tex]=49 cm²

Therefore,Area of shaded region= Area of bigger square- Area of smaller                                                                                              square

                                                       =196-49=147 cm²

6) In the following figure,

Length of rectangle, l= 10 in

breadth of rectangle, b= 8 in

Base of triangle, b= 8 in

Height of triangle, h=6 in

Area of rectangle=l*b=10*8=80 in²

Area of triangle= [tex]\frac{1}{2}*Base*Height[/tex]

                         =[tex]\frac{1}{2}*8*6[/tex]=24 in²

Therefore,Area of shaded region= Area of triangle- Area of circle

                                                       = 80-24=56 in²

Answer:

[tex]slope =\frac{5}{4}[/tex]

Step-by-step explanation:

A(0,-1)  B(5,3) is missing in the question

The points for A  and B are missing. A(0,-1)  B(5,3)

To find the slope of line AB using the formula

[tex]slope =\frac{y_2-y_1}{x_2-x_1}[/tex]

A(0,-1) is (x1,y1)

B(5,3) is (x2,y2). plug in the values in the formula

[tex]slope =\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]slope =\frac{5-0}{3+1}[/tex]

[tex]slope =\frac{5}{4}[/tex]

To calculate the slope of line CD, you need two points on the line. The slope is the 'rise over run' between these points, calculated with the formula (y2 - y1) / (x2 - x1), but coordinates for line CD were not provided.

To determine the slope of line CD, you need two points on line CD. The slope is found by calculating the rise over run between two points on the line. According to the information provided, we can use the general process for calculating slope which entails subtracting the y-coordinate of the starting point from the y-coordinate of the ending point (change in y), and dividing that by the subtraction of the x-coordinate of the starting point from the x-coordinate of the ending point (change in x). If we had the actual coordinates for line CD, the formula would look like this:

slope = (y2 - y1) / (x2 - x1)

However, specific coordinates for line CD are not provided in the question. To accurately calculate the slope, you would need to refer to the graph or data given for line CD and choose two distinct points to use in the slope formula.

Answer: y = 5x + 33

Step-by-step explanation:

y-2=5(x+7)

y-2 = 5*x + 35

y = 5x + 33

Answer: y = 5x + 33

Explanation:

First you must write the equation as you see it:

y-2=5(x+7)

Then do the math in side of the parentheses:

y-2 = 5*x + 35

Once you do the rest of the math, you shall have you answer:

y = 5x + 33

Hope this helps! :)

Answer:

x<8

Step-by-step explanation:

Open parenthesis first:

3x-6<18

Put all like terms on one side:

3x<18+6

3x<24

Simplify:

3x<24 -----> Divide both sides by 3 to cancel out the 3 in 3x.

x<8

~Stay golden~ :)

Answer: x<8

Step-by-step explanation:

3(x-2)<18

3x-6<18

+6 +6

3x<24

———-

3 3

x<8

Answer:

21[tex]w^{10}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]

Given

3[tex]w^{5}[/tex] × 7[tex]w^{5}[/tex]

= 3 × 7 × [tex]w^{(5+5)}[/tex]

= 21[tex]w^{10}[/tex]

Answer:

5.898

Step-by-step explanation:

There are 365 days in a year.

There are 24 hours in a day.

There are 60 minutes in an hour.

In a day, there are 60 minutes each hour x 24 hours = 1440 minutes

In a year, there are 1440 minutes per day x 365 days = 525600 minutes

3.1 million = 3,100,000

3,100,000 / 525600 = 5.898 (rounded from 5.89802130898)

To calculate deaths per minute from an annual total of 3.1 million, we divide the total by days in a year, then by hours in a day, and finally by minutes in an hour, resulting in approximately 6 deaths per minute.

To find out how many deaths occur per minute from an annual total of approximately 3.1 million, we use a step-by-step mathematical calculation.

We start by dividing the total annual deaths by the number of days in a year, and then further dividing by the number of hours in a day, and finally by the number of minutes in an hour.

Therefore, on average, there are approximately 6 deaths per minute worldwide given an annual total of 3.1 million deaths.

Answer:

19 dimes and 9 nickels

Step-by-step explanation:

Model the situation using two equations, then solve the system.

let n be number of nickels and d be number of dimes.

n + d = 28     <= This equation is about the number of coins.

0.05n + 0.10d =  2.35   <=This equation is about the worth in dollars.

Rearrange n + d = 28.

n = 28 - d

Now we can substitute this equation into the other one.

Sub n =28-d at the "d" variable for the equation 0.05n + 0.10d =  2.35

0.05n + 0.10d =  2.35

Now there is only one variable.

0.05(28 - d) + 0.10d =  2.35   <=distribute this

0.05(28 - d) + 0.10d =  2.35

1.4 - 0.05d + 0.10d = 2.35   <=combine like terms

1.4 + 0.05d = 2.35    <= begin to isolate d

0.05d = 2.35 - 1.4

0.05d = 0.95

d = 0.95/0.05

d = 19

Now that we know d=19, we can substitute it into any equation.

Choose the equation n + d = 28 because the numbers are easier.

n + d = 28

n + 19 = 28    <=isolate n

n = 28 - 19

n = 9

Since n=9 and d=19, Kay has 9 nickels and 19 dimes.

Hey! How are you? My name is Maria, 19 years old. Yesterday broke up with a guy, looking for casual sex.

Write me here and I will give you my phone number - *pofsex.com*

My nickname - Lovely

Step-by-step explanation:

Paolo's expression 3(x+2)+3

Final answer:

To find how much light is transmitted through two screens that each transmit 18% of the light, multiply 18% by itself (0.18 x 0.18), which results in 3.24% of the original light being transmitted through both screens.

To determine how much light is transmitted through two light-blocking screens, we need to calculate the percentage of light that makes it through both screens. The first screen transmits 18% of the light. This means that only 18% of the initial light intensity will pass through the first screen.

When the light that has passed through the first screen encounters the second screen, again only 18% of that light will be transmitted. To find the total amount of light transmitted through two screens, we multiply the transmission rates of each screen:

Transmitted light through two screens = 18% of initial light * 18% = (0.18) * (0.18)

To get the final percentage, we multiply those two percentages:

Final transmission percentage = 0.18 * 0.18 = 0.0324 or 3.24%

Therefore, only 3.24% of the initial light is transmitted through two screens.

Answer:

1. Collinear

2. Parallel

3. Oblique

Step-by-step explanation:

1. The system of linear two variable equations are  

3x - 2y = 2 ........... (1) and  

6x - 4y = 4, ⇒ 3x - 2y = 2 ........... (2) {Dividing both sides with 2}

So, equations (1) and (2) are identical.  

Therefore, the lines are collinear. (Answer)

2. The system of linear two variable equations are  

4x - 3y = 12  

⇒ 3y = 4 x - 12

⇒ [tex]y = \frac{4}{3} x - 4[/tex] {In slope-intercept form} ......... (3)

And, - 12x + 9y = 10

⇒ 9y = 12x + 10

⇒ [tex]y = \frac{4}{3} x + \frac{10}{9}[/tex] {In slope-intercept form} .......... (4)

Since, equation (3) and (4) has the same slope, so, they are parallel. (Answer)

3. The system of linear two variable equations are  

3x + 2y = 19

⇒ [tex]y = - \frac{3}{2} x + \frac{19}{2}[/tex] ........... (5)

And, 4x - 5y = 10

⇒ [tex]y = \frac{4}{5}x - 2[/tex] ........ (6)

So, from the equations (5) and (6) we can say that the straight lines are oblique (intersecting). (Answer)

Answer:

Step-by-step explanation:

I think that's it could be wrong

there we go ;)

Answer:

Plz show the picture that goes long with the question!

Step-by-step explanation:

Answer:

The measure of larger angle is 180°

Step-by-step explanation:

Given as :

For the pentagon

The measure of interior angles are

∠A = x ,

∠B = x ,

∠C = 2 x ,

∠D = 2 x ,

∠E = 3 x

We know, The sum of measure of all interior angles of pentagon = 540°

So, x + x + 2 x + 2 x + 3 x =   540°

or, 9 x =  540°

∴  x = [tex]\frac{540}{9}[/tex]

I.e x = 60°

So, The measure of angles are

∠A =  60°  ,

∠B =  60° ,

∠C = 2 ×  60° = 120° ,

∠D = 2 ×  60° = 120°,

∠E = 3  ×  60° = 180°

So, the measure of larger angle is 180°

Hence The measure of larger angle is 180° Answer