In order to participate in the end of the year filed trip, the students at Francis Scott Key need
to fundraise $1200. They plan to have a fajita dinner. They have enough food to serve 240
people. They are charging adults $6 per plate, and students only have to pay $2 per plate.
How many adults and children need to buy a plate in order for them to exactly meet their
goal?​

Answer:4log5=4log5

Step-by-step explanation:

Take the log of both sides

log5^4 =log 625

By log log a^b=b loga

4log 5=log5^4

4log5 =4log 5

Expressions and equations can be written in logarithmic forms.

The logarithmic form of [tex]5^4 = 625[/tex] is [tex]\log_5(625) = 4[/tex]

The equation is given as:

[tex]5^4 = 625[/tex]

Take the logarithm of both sides of the equation

[tex]\log(5^4) = \log(625)[/tex]

Apply law of logarithm

[tex]4\log(5) = \log(625)[/tex]

Divide both sides of the equation by log(5)

[tex]4 = \frac{\log(625)}{\log(5)}[/tex]

Apply change of base law of logarithm

[tex]4 = \log_5(625)[/tex]

Rewrite the equation as follows:

[tex]\log_5(625) = 4[/tex]

Hence, the logarithmic form of [tex]5^4 = 625[/tex] is [tex]\log_5(625) = 4[/tex]

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Answer:

1 1/5 [tex]\geq[/tex] x  OR one and on fifth is greater than or equal to x.

Step-by-step explanation:

2/5 [tex]\geq[/tex] x - 4/5

To isolate x, we need to add 4/5 to each side:

6/5 [tex]\geq[/tex] x is what we get

We can simplify it to:

1 1/5 [tex]\geq[/tex] x

Add 4/5 to both sides

X <= 6/5

X <= 1 1/5

Answer:

y=3.65

X=11.85

Step-by-step explanation:

sin(60)=y/12

sin(60)×12=y

y=3.65

sin(30)=X/12

sin(30)×12=X

X=11.85

Answer:

The answer is Isosceles Triangle.

Answer:

180(n - 2)/n=m

mn= 180(n-2)

180n-mn= 360

n*(180-m)=360

n=360/(180-m)

Answer:

The answer is "MS and QS".

Step-by-step explanation:

Given ΔMNQ is isosceles with base MQ, and NR and MQ bisect each other at S. we have to prove that ΔMNS ≅ ΔQNS.

As NR and MQ bisect each other at S

⇒ segments MS and SQ are therefore congruent by the definition of bisector i.e   MS=SQ

In ΔMNS and ΔQNS

MN=QN       (∵ MNQ is isosceles triangle)

∠NMS=∠NQS     (∵ MNQ is isosceles triangle)

MS=SQ         (Given)

By SAS rule, ΔMNS ≅ ΔQNS.

Hence, segments MS and SQ are therefore congruent by the definition of bisector.

The correct option is MS and QS

Answer:

D

Step-by-step explanation:

edge

Answer:

x=-3

Step-by-step explanation:

4/x=8/(x-3)

We can solve this using cross products

4 ( x-3) = 8x

Distribute

4x -12 = 8x

Subtract 4x from each side

4x-4x-12 = 8x-12-4x

-12 =4x

Divide each side by 4

-12/4 = 4x/4

-3 =x

Answer:

X=-3

Step-by-step explanation:

Solve it like any other two step equation.

But first we have to have x on its own to get what the x value is

Answer:

Step-by-step explanation:

I think 33°

Answer:

its 34 i think

Step-by-step explanation:

Answer:

A. 25°

Step-by-step explanation:

25° is really the only logical answer.

Answer:

[tex]\fbox{\begin{minipage}{16em}Option D: y = (4/7)x + 8 is correct\end{minipage}}[/tex]

Step-by-step explanation:

(1) A typical form of equation of a line is:

[tex]y = Mx + b[/tex]

with, [tex]M[/tex] is slope and [tex]b[/tex] is y-intercept.

(2) Another straight line has equation in form of:

[tex]y = Nx + c[/tex]

with [tex]N[/tex] is slope and [tex]c[/tex] is y-intercept

(3) If these two lines are perpendicular, according to the property of two perpendicular lines on the two-dimensional plane, we have:

[tex]M[/tex] x [tex]N[/tex] = -1

(4) Transform the given equation of original line into typical form:

      [tex]7x + 4y = -24\\[/tex]

<=> [tex]4y = -7x - 24[/tex]

<=>  [tex]y = (\frac{-7}{4})x - \frac{24}{4}[/tex]

<=> [tex]y = (\frac{-7}{4})x - 6[/tex]

=> [tex]M = \frac{-7}{4}[/tex]

=> [tex]N = \frac{-1}{M} = \frac{-1}{\frac{-7}{4} } = \frac{-4}{-7} = \frac{4}{7}[/tex]

=> Option D: [tex]y = (\frac{4}{7})x + 8[/tex] is correct (Slope = [tex]\frac{4}{7}[/tex])

Hope this helps!

:)

Answer.if breadth is 1 then length is 38 cm

v= l×b×h

342=l×1×9

342=9l

l=342/9

l=38

____________________________

Breadth=1 cm

Height=9cm

Volume=342cm^3

Length=?

Now,

Volume=l*b*h

or,342=l*1*9

or,342=9l

or,l=342/9

length=38 cm

So the length is 38 cm

Hope it helps

Good luck on your assignment.

_______________________________

The question is unclear but I will assume they mean 1/4 and 3 1/2.

Find common denominators.

1/4

3 1/2 -> 3 2/4

Turn into an improper fraction.

3 2/4 -> 14/4

Divide.

14/4 / 1/4

14/4 * 4/1

56/4

14

So, they can make 14 ornaments.

Best of Luck!

Answer:

130%

Step-by-step explanation:

1.3=

130/100=

130%

Hope this helps!

Answer:

130%

Step-by-step explanation:

To express a decimal as a percent, you need to multiply it by 100.

1.3×100=

130

1.3 as a percent is 130%

Answer:

Step-by-step explanation:

From the triangle, given sin C=15/17 we will use the trigonometry identity to get the ratio of cosC. Using the SOH CAH TOA identity;

sinC = opp/hyp = 15/17

opposite = 15

hypotenuse = 17

According to pythagoras theorem;

hyp² = opp²+adj²

17² = 15² + adj²

adj²= 17²-15²

adj = √64

adj = 8

Since cosC = adj/hyp

cosC = 8/17

The ratio of cos is 8/17

Answer:28 if I’m not mistaken

Step-by-step explanation:

Answer:

1)25%

2)likely

3)1/4

4)46

5)10%

6)I am so sorry I have no clue

7)1/4 or 1/12

8)1/8 or 1/12

9)80%

10)80%

1/15

Step-by-step explanation:

I hope this helps.

Answer:

1)25%

2)likely

3)1/4

4)46

5)10%

6) second choice

7)1/4 or 1/12

8)1/8 or 1/12

9)80%

10)80%

1/15

Step-by-step explanation:

Answer:

3:1

Step-by-step explanation:

Since there are 3 times more blue favorite kids, the ratio is

3:1

The ratio of the number of students who said blue to the number of students who said green is 3 : 1.

The ratio is a numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.

Given:

Mark asked each student in a class to name their favorite color.

For this class,

the number of students who said blue is three times the number of students who said green.

Let n be the number of students who said green.

Then, 3n, the number of students who said blue.

The ratio of the number of students who said blue to the number of students who said green.

= 3n/ n

= 3/1

= 3: 1.

Therefore, the ratio is 3 : 1.

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Answer:

4 log 5 = log 625.

Step-by-step explanation:

I am assuming you mean 5^4 = 625

Taking logs

log 5^4 = log 625

4 log 5 = log 625.

Answer:

option B -> 23 units

Step-by-step explanation:

To solve this question we need to find the length of each side, and we can do this finding the distance between the pair of points that make a side, using the formula:

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

Where the points are [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex].

So, using the points A = (-4, -2), B = (-1, 2), C = (2, 2), D = (5, -1) and E = (2, -4), we have that:

[tex]AB = \sqrt{(-4 - (-1))^{2} + (-2 - 2)^{2} } = 5[/tex]

[tex]BC = \sqrt{(-1 - 2)^{2} + (2 - 2)^{2} } = 3[/tex]

[tex]CD = \sqrt{(2 - 5)^{2} + (2 - (-1))^{2} } = 4.2426[/tex]

[tex]DE = \sqrt{(5 - 2)^{2} + (-1 - (-4))^{2} } = 4.2426[/tex]

[tex]EA = \sqrt{(2 - (-4))^{2} + (-4 - (-2))^{2} } = 6.3246[/tex]

So the perimeter of ABCDE is:

[tex]P(ABCDE) = AB + BC + CD + DE + EA[/tex]

[tex]P(ABCDE) = 5 + 3 + 4.2426 + 4.2426 + 6.3246 = 22.8098[/tex]

Rounding to nearest whole number we have:

[tex]P(ABCDE) = 23[/tex]

So the answer is the option B.

[tex]answer \\ = - 2 , 2 ,3 , 4 \\ explanation \\ let \: r \: be \: a \: relation \: from \: a \: to \: b. \: then \: \\ the \: set \: of \: first \: components \: or \: the \\ set \: of \: elements \: of \: a \: are \: called \\ domain \: and \: the \: set \: of \: second \\ components \: or \: the \: set \: of \: elements \\ of \: b \: are \: called \: the \: range. \\ hope \: it \: helps[/tex]

Answer:

The answer should be 22 ounch Hence,kevita is write but there should be 7.50 not 6.50 in kevita equation

(b+1)/2b

quotient = divided by

we're dividing a number that is 1 more than b (b + 1), with a number twice as large as b (2b).

Answer:

Step-by-step explanation:

Magnitude means size. Its a scalar quantity which means it is always positive and has no specific direction

Lets say you are driving East at 30 miles per hour. The magnitude would be 30. Same thing for going West. Youre technically going in the negative direction, but the magnitude is still 30

Another word for magnitude is "size" or "extent."

We have,

Magnitude refers to the size, quantity, or intensity of something.

It is a measure of the absolute value or scale of a particular attribute or characteristic.

In various contexts, magnitude can refer to physical quantities such as length, mass, or force, where it describes the amount or extent of that particular quantity.

It can also be used to describe the intensity or severity of events or phenomena, such as the magnitude of an earthquake or the magnitude of a problem.

Essentially, magnitude provides a sense of the relative scale or importance of something within a given context.

Thus,

"size" or "extent." are the other words for magnitude,

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Answer:

[tex]y = 36[/tex]

Step-by-step explanation:

Given; the triangle above

Required

Find y

This question falls under the topic/subtopic similar triangles where we need to make comparison between similar sides'

But first, it should be noted that triangle MOP is similar to triangle MLN

This implies that

Side MP is similar to MN

Side MO is similar to  ML

Mathematically; This can be represented as follows;

[tex]\frac{MP}{MN} = \frac{MO}{ML}[/tex]

Where MP =y; MN = y + 18; MO = 28; ML = 28 + 14

Substitute these values in the above expression

[tex]\frac{y}{y+18} = \frac{28}{28+14}[/tex]

[tex]\frac{y}{y+18} = \frac{28}{42}[/tex]

Multiply both sides by 42

[tex]42 * \frac{y}{y+18} = \frac{28}{42} * 42[/tex]

[tex]\frac{42y}{y+18} = \frac{28*42}{42}[/tex]

[tex]\frac{42y}{y+18} = 28[/tex]

Multiply both sides by y + 18

[tex](y+18)*\frac{42y}{y+18} = 28 * (y+18)[/tex]

[tex]42y = 28 * (y+18)[/tex]

Open Bracket

[tex]42y = 28 * y+28 * 18[/tex]

[tex]42y = 28y+504[/tex]

Subtract 28y from both sides

[tex]42y - 28y = 28y - 28y +504[/tex]

[tex]14y = 504[/tex]

Divide both sides by 14

[tex]\frac{14y}{14} = \frac{504}{14}[/tex]

[tex]y = \frac{504}{14}[/tex]

[tex]y = 36[/tex]

Answer:

y= 36

Step-by-step explanation:

also ily, no homo

Answer:

x =40

Step-by-step explanation:

x and 4x-20 form a straight line which means they add to 180

x+4x-20 = 180

Combine like terms

5x -20 =180

Add 20 to each side

5x = 200

Divide by 5

5x/5 = 200/5

x =40

Answer:

it just looks confusing sry

Step-by-step explanation:

but im usually good at these but it just looks confusing on this one, but maybe it is A. idk sry good luck

Answer:

F. [tex]\frac{12}{13}[/tex]

Step-by-step explanation:

[tex]cos = \frac{adjacent}{hypotenuse}[/tex]

The hypotenuse of a right triangle is the angle that is opposite and not touching the 90 degree angle. In this case, the hypotenuse is 13.

The adjacent side is the side that is touching the angle but not the hypotenuse. That makes the adjacent side in this case 12.

That means that  [tex]cos = \frac{12}{13}[/tex].

I hope this helps!

Answer:it’s f.12/13

Step-by-step explanation:

big brain

1.50 for beads x 5 necklaces = 7.50

Total.

18.50 -7.50 = 11.00

11.00 / 5 = $2.20 for was pendant

Step-by-step explanation:

4 × 11 = 44

44 × 9 = 396

therefore it is 396ft

Answer:

4 x 11 = 44

44 x 9 = 396

It will be 396 ft

Step-by-step explanation: