In a class of 55 students, 15 students liked Maths but not English and 18 students liked English but
not Maths. If 5 students did not like both, how many students liked both subjects?​

Answer:

27

Step-by-step explanation:

9/1/3=9*3=27

Answer:

D. 27

Step-by-step explanation:

This is a simple division

[tex]9[/tex] ÷ [tex]\frac{1}{3}[/tex] =

[tex]\frac{9}{1}[/tex] ÷ [tex]\frac{1}{3}[/tex] =

Cross multiply

[tex]1[/tex] × [tex]1 = 1[/tex]

[tex]9[/tex] × [tex]3 = 27[/tex]

Set it up

[tex]\frac{27}{1}[/tex]

Then, the model represents 27

Answer:

<5=39

Step-by-step explanation:

<2=48

<3=93

<2 and <4 are equal to each other because they are alternate interior angles

93+48=141

180-141=39

Answer:

∠5 = 39º

Step-by-step explanation:

∠1 + ∠2 + ∠3 = 180

∠1 + 48 + 93 = 180

∠1 = 180 - 48 - 93

∠1 = 39

Corresponding angles are congruent

∠5 = ∠1

∠5 = 39º

Answer:

A. 69°

Step-by-step explanation:

Given:

m<FED = 179°

m<NED = 19x - 4

m<FEN = 12x - 3

Required:

m<FEN

Solution:

m<NED + m<FEN = m<FED (angle addition postulate)

19x - 4 + 12x - 3 = 179 (substitution)

Add like terms

31x - 7 = 179

31x - 7 + 7 = 179 + 7

31x = 186

31x/31 = 186/31

x = 6

✔️m<FEN = 12x - 3

Plug in the value of x

m<FEN = 12(6) - 3 = 72 - 3

m<FEN = 69°

The values of k for parallel and perpendicular in the equations 8y=4x+3 and 4y=k(x+5) are 7/12 and 1/21, respectively.

A line's slope determines how steep it is. A mathematical expression for the gradient is called "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical change (rise) between two points to the horizontal change (run) between those same two points. When a straight line's equation is written as y = mx + b, the slope-intercept form of an equation is used to represent it. The y-intercept is located at a point where the line's slope is m, b is b, and (0, b). For instance, the slope of the equation y = 3x - 7 and the y-intercept (0, 7).

given

for parallel their slope will be equal

y1= 1x/2 + 3/8 .... eq1

y2= kx/4 + 5k/4  ..... eq2

y1 = y2

1x/2 + 3/8 = kx/4 + 5k/4

1/2 + 3/8 = k/4 + 5k/4

7/8 = 6k/4

k = 7/12

for perpendicular product of their slope is 1

y1 * y2 = 1

1x/2 + 3/8 * kx/4 + 5k/4 = 1

1/2 + 3/8 * k/4 + 5k/4 = 1

k = 1/21

so The values of k for parallel and perpendicular in the equations 8y=4x+3 and 4y=k(x+5) are 7/12 and 1/21, respectively.

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Answer:

Domain is all real numbers (basically any number)

Step-by-step explanation:

Step 1: Simplify the expression first

y = 2(x+1)-(3x-2)

y = 2x + 2 -3x + 2

y = -x + 4

Step 2: Observe the graph

y = -x + 4 is simply a linear graph with a negative fixed gradient of -1, with a y-intercept of 4.

Step 3: Identify the domain

For linear graphs, domain is all real numbers.

(No restrictions on the graph according to question)

Answer:

Step-by-step explanation:

Answer:

7 times with 1 left over

Step-by-step explanation:

29/4=7

(28)

Remainder 1

There are two ways of finding the volume of a pyramid.

1. [tex]\large\tt V =\frac{lwh}{3}[/tex]

Therefore, the volume of a pyramid is 13.33in³

2. [tex]\large\tt V = \frac{Bh}{3}[/tex]

Where [tex]\longrightarrow\tt B = l \times w[/tex]

[tex]\longrightarrow\tt B = 4in \times 2in[/tex]

[tex]\longrightarrow\tt B = {8in^2}[/tex]

Therefore, the volume of a pyramid is 13.33in³

This is a simple cross multiplication problem! Any time you're given a ratio and then the actual quantity of something, you can use cross multiplication to figure out the quantity of the other thing!

We know that the ratio of toads to frogmen is 7 : 2. We also know there were 98 actual toads. Therefore we can set up our equations!

[tex]ratio_{toads}=ratio_{frogmen}\\actual_{toads}=actual_{frogmen}\\\\7=2\\98 = x\\\\7x=196\\x=28[/tex]

The first two equations above everything is how you would have everything set up! The second equations under them are the numbers plugged in, and the rest is just simplification.

So, your final answer should be 28 frogmen!

Answer:

The answer is 2.27mm

Step-by-step explanation:

Answer:

1/5 x X = 13

x5           x5

x = 65 in total

There are 30 girls and 10 boys

Answer:

2/6 lol

Step-by-step explanation:

hope this helps :3

Answer:

1 38888888889/50000000000

Step-by-step explanation:

The answer to the first part equation is 1080 ( 3*15*24). The answer to the second question ( 16*20*6) is 1920. Then you divide 1920/ 1080= 1 38888888889/50000000000

bro use a photo math...................

Answer:

Reflection across the Y axis and you would have to translate figure a down by some units. I dont know the units because i cant see the grid/graph so this is the farthest I can tell you

Step-by-step explanation:

Hope this helps :)

Reflection along y axis

Translation: [tex](x,y) \to (x,y-3)[/tex]  which means we shift 3 units down

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

Explanation:

Let's track point A to see how it could move to point A'.

If we were to reflect point A over the vertical y axis, then A(-4,4) would move to (4,4). The x coordinate flips in sign, but the y coordinate stays the same.

The diagram shows that A' is located at (4,1) instead of (4,4). So a y-axis reflection isn't enough to move A to A', but we can shift that reflected point three units down. That will move (4,4) to (4,1) which is exactly where we want to end up. Note how we subtract 3 from the y coordinate and x stays the same. So that explains the notation [tex](x,y) \to (x,y-3)[/tex]

Overall, this points to choice B as the final answer. If we apply these steps to points B and C, you should find that they'll land on B' and C' respectively.  Apply this to all of the points on the triangle ABC, and it will move everything to triangle A'B'C'.

Answer:

135

Step-by-step explanation:

:)

Answer:

When you convert them both you get 135

Answer: 5

Step-by-step explanation:

1. Since you are told x=35. Plug it into x.

35-25

2. Simplify

35-25=5

Answer: 10

Step-by-step explanation:

x-25

substitute 35 for x

35-25 = 10

Answer:

sorry

Step-by-step explanation:

Answer:

M<3 is 49 degrees, M<4 is 131 degrees  

Step-by-step explanation:  

This is a case of supplementary angles. M<1 and M<2 are supplementary, which means that their angle degrees added together will be equal to 180. The same is for M<2 and M<3, and M<3 and M<4, and M<1 and M<4. Basically, two angles are supplementary when they form a straight line, or 180 degrees  

First, we know that M<1 and M<2 added together is 180. We know M<1 is 11x-38 and M<2 is 19x+8, so then, we have:

(11x-38) + (19x+8) = 180

30x - 30 = 180

30x = 210

x = 7

Now, we plug in 7 for x to find M<1 and M<2.

M<1 is (11x-28), so it would be 49 degrees.

M<2 is (19x+8), so it would be 131 degrees (or just do 180-49).

Now, we can find M<3 and M<4 easily. M<3 and M<2 are supplementary, so 131 + M<3 must equal 180. Thus, M<3 is 49.

M<4 and M<1 are supplementary, so 49 + M<4 must equal 180. Thus, M<3 is 131.

AN EASIER WAY TO FIND M<3 AND M<4:

Vertical angles are angles directly opposite each other, created by two intersecting lines. A pair of vertical angles holds the same degree measurements. In this problem, M<2 and M<4 are a pair of vertical angles, and M<3 and M<1 are a pair. Thus, M<2 and M<4 must are the same degree and M<3 and M<1 must are the same degree. Thus, if M<2 is 131, M<4 is 131 degrees as well. If M<1 is 49 degrees, M<3 is 49 degrees as well.  

Answer:

b

Step-by-step explanation:

i think i say c because a is 30 degrees and c is 90 the whole triange needs to be 180 so b would be 60 also you see one side is 10 the other side also known as b is also 10 they have to be the same length and a is five because half of 10 is 5

Raffles are chance-based contests in which participants compete to win exciting prizes.

To participate, all you need is a ticket with a number on it. Following the sale of all tickets, a drawing is conducted during which a random selection of tickets is made. If you chance to have the winning ticket, congratulations! a lot of engagement.

Raffles elicit a great deal of interest and support because people enjoy playing games of chance, especially when they have the possibility to win a significant prize.

high income. Your organisation has a strong possibility of making some big money from ticket sales if engagement is high!

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Answer:

Steps for How to Transform the Graph of a Cubic Function

Step 1: The standard form of a cubic function is y=a(x−h)3+k y = a ( x − h ) 3 + k , where a indicates a stretch or a shrink, h indicates a vertical shift, and k indicates a horizontal shift.

Step-by-step explanation:

Answer:

The acres of each the farmer must plant to obtain the maximum profit is:

Step-by-step explanation:

First, we're gonna take the data of the exercise:

Now, we're gonna suppose that all the area could be planted with corn (the most profitable), in this form, we obtain the highest profit to take this how reference:

How you can see, $9600 is the highest profit that the farmer can obtain, but, as each acre of corn needs 2 hours, the farmer would need 480 hours of labor to plant all the area with corn, with the 320 hours availables, the farmer just could plant 160 acres of corn, therefore, the real profit would be:

Now, we're gonna make the same exercise but with the oats, to obtain the total profit with this:

Taking into account the hours of labor availables, the oat gives $800 more profit than the corn, but in that case we'd lose 80 hours of labor that could be used to make a better profit, but, as the oat per hour of labor is more profitable, we're gonna use 2/3 of the area to plant oat and 1/3 to plant corn:

How you can see, with 160 acres of oat, the farmer would need 160 hours of labor and, with 80 acres of corn, the farmer would need 160 hours of labor too, by this, we know all the available time will be used, now, we're gonna calculate the profit in each case:

The total profit to the farmer with this plan is:

The profit with the given plan is $8000, that is better than the profit only with oat or corn separately and, this is the maximum profit the farmer can make.

Answer:

no solution

Step-by-step explanation:

Answer:

Step-by-step explanation:

Certainly! To set up the problem, we can consider the owner-manager's utility as a function of two variables: income (profit) and charitable contributions or civic expenditures. Let's call these variables x and y, respectively.

The owner-manager utility is given by the function U(x,y), where x is the income (profit) and y is the charitable contributions or civic expenditures.

The cost of obtaining this utility is given by the function C(x,y), where x is the income (profit) and y is the charitable contributions or civic expenditures.

To find the lowest possible cost at which the owner-manager can obtain a specific level of utility, we can use the following optimization conditions:

The cost function C(x,y) should be minimized subject to the constraint U(x,y) = k, where k is the specific level of utility that the owner-manager wishes to achieve.

The first-order necessary conditions for a minimum are:

∂C/∂x = λ ∂U/∂x

∂C/∂y = λ ∂U/∂y

where λ is a Lagrange multiplier.

These conditions are known as the Karush-Kuhn-Tucker (KKT) conditions.

These optimization conditions differ from the utility-maximizing conditions in that we are minimizing the cost function instead of maximizing the utility function. In addition, we have the constraint U(x,y) = k, which means that we are trying to achieve a specific level of utility rather than trying to maximize it.