If 3 cups of sugar are used to make 12 cupcakes, how many cups of sugar are used to make 30 cupcakes

Answer:

Carter family = 25 hours

Davis family = 31 hours

Step-by-step explanation:

Let's say the number of hours the Carter family used their sprinkler is x and the number of hours the Davis family used their sprinkler for is y.

So combined:

x + y = 45 hours

and we are also told that:

40x + 15y = 1300 L

So we can do simultaneous equations to solve the problem.

With some rearranging, we can figure out that:

y= 45 - x

and by substituting that into the second equation:

40x + 15 (45 -x) = 40x + 675 - 15x = 1300L

25x = 1300 - 675

25x = 625

x = 25 = hours that the Carter family used their sprinkler

and we can substitute that back into the original equation to find how many hours the Davis family used their sprinkler so:

25 + y = 56

y = 31

The Davis family used their sprinkler for 31 hours whilst the Carter family used their sprinkler for 25 hours.

Answer:

Slope < 0  : 1     slope between 0 and1 :3

slope greater than 1 : 2     #4 has 'undefined' slope

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

My guy just plug in the number for x it's not that hard

Answer:

The First problem is empty

The second is (-oo,3) U [6,oo)

Step-by-step explanation:

Set C is defined for all reals less than or equal to. 3.

Set D is defined for all reals greater than or equal to 6.

The First cardinal want us to find when the two Set intersects. They never intersect so that the Set is empty.

The next cardinal want us to find when the Set contains both of their subsets.

Set C can be from any negative number up to 3 inclusive.

Set D start at 6, exclusively and continues forever to thr positve. So

the Set C And Set D will be

(-oo, 3) U [6,oo)

[tex]~~~~~5\sin 2x +4 =10 \sin^2 x\\\\\implies 5\cdot 2\sin x \cos x+4 =10 \sin^2 x\\\\\implies 10 \sin x \cos x +4 = 10\sin^2 x\\\\\implies 10\tan x + 4\sec^2 x = 10\tan^2 x~~~~~;[\text{Divide both sides by}~ \cos^2 x]\\\\\implies 10\tan^2 x -10 \tan x -4(1+ \tan^2 x)=0\\\\\implies 10\tan^2 x -10 \tan x -4 -4\tan^2 x =0\\\\\implies 6 \tan^2 x -10 \tan x -4 =0\\\\\implies 3 \tan^2 x -5 \tan x -2 =0~~~~~;[\text{Divide both sides by 2}]\\\\\implies 3\tan^2 x - 6\tan x +\tan x -2 =0\\\\[/tex]

Arithmetic sqaure: a + (n-1) * d

              where "a" is the first term, "d" is the common difference

Here given:

a = 10 gallons

d = 5.5 gallons

Solve for first 5 terms:

10 + (1-1) * 5.5 = 10

10 + (2-1) * 5.5 = 15.5

10 + (3-1) * 5.5 = 21

10 + (4-1) * 5.5 = 26.5

10 + (5-1) * 5.5 = 32

first five terms: 10, 15.5, 21, 26.5, 32

General formula

So

Answer:

11.10

Step-by-step explanation:

you just have to look at where 5 years stops on the line

Answer:

$11.10

Step-by-step explanation:

made a line on snip tool, it went well above 11

Answer:12 x w = 48

Step-by-step explanation:

the width is 4

Answer:

w=4

Step-by-step explanation:

length is 12

area is 48

:) don't know how to explain so i'll just put the formula thing

 w=a/1=48/12=4  also /=fraction

Answer:

x = -1

Step-by-step explanation:

First we expand both sides :

Let's start with the right side:

6(x-1) = 6x-6

Now we do the left side:

4(x-2) = 4x-8

Now we add 6 to both sides:

(6x-6)+6 = (4x-8)+6

Simplify:

6x = 4x -2

Subtract 4x from both sides:

6x - 4x = (4x-2) - 4x

Simplify:

2x = -2

Divide both sides by 2:

2x÷2 = -2÷2

Simplify:

x = -1

I dont see a box so can't do the second part.

Hope this helps and brainliest please

Answer:

3.49

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

because the number is 3.486 and 8 is more close to the next number which is 50 so is 3.50 or 3.5

Answer:

they played 20 games together

Step-by-step explanation:

use percentages

Let x be the number of total games.

If 60% is won games then 40% is lost games.

(8/x)*100 = 40

8/x = 4/10

80 = 4x

X = 80/4

Therefore the number of games is 20

1The two equivalent equations will be

1. [tex]y=\dfrac{-6}{4}x+10[/tex]

2. [tex]3x+2y=5[/tex]

An equation between two variables that gives a straight line when plotted on a graph.

The required two equivalent equations are

[tex]y=\dfrac{-6}{4}x+10[/tex]

[tex]3x+2y=5[/tex]

The above equation has no repeating numbers and fulfill the criteria.

To know more about equations follow

https://brainly.com/question/2972832

#SPJ1

A circle is a curve sketched out by a point moving in a plane. The point that lies on the circle is (-4, 12), (-6, 6), and (4, 16).

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

The simple way to do such questions is to make the given circle and plot the points on the graph. As shown below.

The other way to do the question is to find the distance between the centre point of the circle and the point if it is equal to the radius of the circle, the point will lie on the circle, otherwise not.

The formula to find the distance between the two points on a graph is,

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Hence, the point that lies on the circle is (-4, 12), (-6, 6), and (4, 16).

Learn more about Circle:

https://brainly.com/question/11833983

#SPJ1

Answer:

45 im not to shur

Step-by-step explanation:

10 + 7 + 9 + 11 + 8 = ?

? = 45

Answer:

8

Step-by-step explanation:

From 5 to get to 20 it would be (X4), so we would do the same for the 2, and 2 times 4 would be 8. The answer is 8.

base= 25 mm

height= 28 mm

the volume of the square pyramid.

[tex]volume = {a}^{2} \frac{h}{3} [/tex]

[tex]v = {25}^{2} \frac{28}{3} [/tex]

[tex]v = 5833.33333 {mm}^{3} [/tex]

[tex]v = 5833.3 {mm}^{3} [/tex]

Answer: Alex 28

Frank 22

Step-by-step explanation: Age difference is 6. Addition is 50

Answer:

b

Step-by-step explanation:

Answer:

48%

Step-by-step explanation:

First, we need to add the amounts together to be able to see what percent of all the cups are dirty. (228 + 247 = 475). Now we can find one percent of 475 we can do this by moving the decimal point two to the left. (4.75). so If 4.75 is 1% we can multiply 4.75 until we get 228.

4.75 x 20 = 95.

4.75 x 40 = 190

4.75 x 45 = 213.75

4.75 x 50 = 237.5

4.75 x 48 = 228

Since every time we multiplied by 1 more we went up 1%. We multiplied by 48 so 48%.

1)

[tex]\longrightarrow (-\dfrac{1}{2} +2)[/tex]

[tex]\longrightarrow (-\dfrac{1}{2} +\dfrac{4}{2} )[/tex]

[tex]\longrightarrow \dfrac{-1+4}{2}[/tex]

[tex]\longrightarrow \dfrac{3}{2}[/tex]

[tex]\sf \bold{\longrightarrow 1\dfrac{1}{2}}[/tex]         (final answer)

2)

[tex]\longrightarrow \sf 4(\dfrac{1}{2} +\dfrac{5}{4} ) + (-5)[/tex]

[tex]\longrightarrow \sf 4(\dfrac{2}{4} +\dfrac{5}{4} ) + (-5)[/tex]

[tex]\longrightarrow \sf 4(\dfrac{7}{4} ) + (-5)[/tex]

[tex]\longrightarrow \sf 7-5[/tex]

[tex]\longrightarrow \bold{\sf 2}[/tex]        (final answer)

The geometric series will be D. 2 + 14 + 98 + 686 because it is having a common ratio 7.

In mathematics, a geometric series is the sum of an infinite number of terms that have a constant or common ratio between successive terms

A. 6 + 13 + 20 + 27 .

the difference between two terms are 13-6 = 7 , 20-13= 7

The terms are increasing by 7. So it is not geometric

B. 7 + 21 + 35 + 45

the difference between two terms are 21-6 = 14 , 35-21= 14

The terms are increasing by 14. So it is not geometric

C. 14 + 21 + 28 + 35

the difference between two terms are 21-14 = 7 , 28-21= 7

The terms are increasing by 7. So it is not geometric

D. 2 + 14 + 98 + 686

Here the difference is not same, so we find the ratio

14/2= 7

98/14= 7

686/98= 7

So common ratio is 7

When the common ratio is same then it is Geometric series

Hence the geometric series will be D. 2 + 14 + 98 + 686 because it is having a common ratio 7.

To know more about geometric progression follow

https://brainly.com/question/24643676

Answer:

D

Step-by-step explanation:

multiplied by 7 each time

Your answer is 53

Yw :D

Answer:

1,(8)

Step-by-step explanation:

x = 3-2=1

y = 4+4=8

Therefore, 1,8

Answer:

D) It is discontinuous because there is a value for a such that [tex]\lim_{x \to \\a } f(x)[/tex] does not exist.

Step-by-step explanation:

Just did the practice.

Answer:

9.411

Step-by-step explanation:

Answer:9.144

Step-by-step explanation:

Answer:

It's B

Step-by-step explanation:

All you're doing is adding 1.5 each time

Hope this helps :)

the slope is m= -1/5.

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.

y_2 - y₁ = m(x₂ - x₁).

here, we have,

the slope of the line that passes through the points (-1, 6) and (14, 3)

Slope: m=  y_2 - y₁/(x₂ - x₁).

              = 3-6/14+1

              = -1/5.

hence, the slope is m= -1/5.

To learn more on slope click:

https://brainly.com/question/3605446

#SPJ2