5x – 3y = -21
2x - 9y = 54

Answer:

8

Step-by-step explanation:

The given number 480 divided by 60 equals 8.

The division process involves successive subtraction of the divisor from the dividend until the remainder becomes less than the divisor.

To 480 divided by 60, to perform this division by dividing 480 by 60, resulting in a quotient of 8.

Division is an arithmetic operation that separates a number into equal groups, in this case, 480 is divided into 60 groups of equal size, and each group contains 8 items.

Dividing 480 by 60 can also be represented as 480 ÷ 60 = 8.

Hence, divide the given number 480 by 60 is equal to 8.

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Answer:

x=15/8

Step-by-step explanation:

Answer:

y = 1/7x + -1/14

Step-by-step explanation:

2x−14y+−2x=1+−2x

−14y=−2x+1

−14y /−14  =  −2x+1 /−14

Answer:

(b) or (d)

Step-by-step explanation:

stidents who play basketball = 4y^2 + y - 8 - (2y + 16) = 4y^2 - y - 24

This is a question on forming and solving equations and expressions. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:  Choice (b) 4y^2 - y - 24;  top right corner

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Work Shown:

T = total number of students in the class

T = 4y^2 + y - 8

F = number of students who play football

F = 2y+16

B = number of students who play basketball

B = unknown for now

Since a student either plays football or basketball, but not both, this means

T = F+B

which rearranges to

B = T-F

Plug in the given expressions and simplify

B = T-F

B = (4y^2+y-8) - (2y+16)

B = 4y^2+y-8 - 2y - 16

B = 4y^2 + (y-2y) + (-8-16)

B = 4y^2 - y - 24

Answer:

¯\_(ツ)_/¯

Step-by-step explanation:

¯\_(ツ)_/¯

Answer:

-4.5

Step-by-step explanation:

The number line represents the expression -4.5 + (-3.5) which equals -8 and it is given below.

We have,

To represent the expression -4.5 + (-3.5) on a number line model, start by placing a point at -4.5 on the number line.

Then, we move to the left by a distance of 3.5 units, representing the addition of -3.5.

Now,

-4.5 + (-3.5) = -8

The representation of the expression -4.5 + (-3.5) on a number line is given below.

Thus,

The number line represents the expression -4.5 + (-3.5) which equals -8.

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Answer:

AB≈DE

then, in triangle ABC&in triangle DEF

angle CAB =angle FDE

side AB= side DE

angle ABC= angle FED

So, triangle ATC≈ triangle DEF (A.S.A)

Answer:

$235.2

Step-by-step explanation:

$210 * (100%+12%)

= $210 * 112%

= $210 * 1.12

= $235.2

Hope this helped!

Answer:

The final answer is $470.40.

Step-by-step explanation:

210 x 2 = $420

To find the final price including tax, we must find 12% of $420.

420 x 0.12 = $50.4

Now, we must finalize the price by adding the tax to the price without tax.

$420 + $50.4 = $470.40

Therefore, the final cost for the hotel room is $470.40.

Hope this helps you out! :)

Answer: £16.90

Step-by-step explanation:

From the question, we are informed that it costs £6.50 per hour to hire a tennis court at Meadway Tennis Club but that on Saturdays the cost is 30% more. The cost in Saturdays per hour will then be:

= £6.50 + (30% × £6.50)

= £6.50 + ( 0.3 × £6.50)

= £6.50 + £1.95

= £8.45

The cost to hire a court for 2 hours on a Saturday will then be:

= £8.45 × 2

= £16.90

Answer:

inequality-    1.29m <20

maximum number of songs- 15 songs

Step-by-step explanation:

For the inequality, you see that she only has $20 so whatever she buys has to be below that so use the less than sign. You also see that each song is worth $1.29 so 1.29m. For the maximum number of songs, you divide 20 by 1.29 and just ignore the remainder.

Answer:

c

Step-by-step explanation:

Step-by-step explanation:

As this path will be nearly circular which gives us that the distance between the earth and the moon acts as the radius for that respective circular path. ... Hence, the circumference of the path described by the moon in one complete revolution is 2,41,152 km.

Step-by-step explanation:

Due to travelling faster than light, dark matter has a higher than usual mass in relation to its resting mass, thus accounting for the large 'missing' mass around galaxies. ... Dark matter is therefore non-baryonic, travelling faster than light and has a mass half that of a photon.

mark upper one as brainliest

.....

so hope u understood

.....s

Due to travelling faster than light, dark matter has a higher than usual mass in relation to its resting mass, thus accounting for the large 'missing' mass around galaxies. ... Dark matter is therefore non-baryonic, travelling faster than light and has a mass half th

...djs

jwjwat of a photon.

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Answer:

Step-by-step explanation:

m∠2 ≅ m∠7 [Alternate exterior angles]

m∠7 + m∠8 = 180° [Linear pair theorem]

m∠2 + m∠8 = 180° [Substitution property]

∠2 and ∠8 are supplementary [Definition of supplementary angles]

Answer:

Step-by-step explanation:

-10 since +5-15 =-10 so 2

Answer:

5x-9

Step-by-step explanation:

If Bill has 9 coins less then 5 times Nancy's coins, the number of his coins is 5x-9.

Answer:

First side=7

Second side =28

Third side =8

explanation:

Perimeter of a triangle is the sum of the length of the sides of the triangle. Given that the perimeter of the triangle = 43 inches

Second side is 4 times the first side

Third side is 1 inch longer the first

Let's call the first side x

Then equation for the perimeter of the triangle is given by

x+4x+x+1=43

We solve for x

6x+1=43

6x=43-1

6x=42

x=42/6

x=7

Therefore the first side x=7, the second side is 4x= 4*7=28, third side= 1+x= 1+7=8

Answer:

For answer a,

the equation is -1 - 5

this equals -6

From -1 to -6 is 5

A.) The difference is 5

For answer b,

the equation is  -7 - (-3)

There are two minus signs by the -3 so that means to turn those two signs into a plus sign

- 7 + 3

Start at -7 and move to the right 3

You will end up at -4

B.) The difference is 3

Answer:

(x, y) = (1, 4)

Step-by-step explanation:

Given:  x+y=5 and 2x-y=-2

Solve for y and x

x+y=5; solve for y

y = 5 - x; substitute into other equation

2x-y= -2

2x - (5 - x) = -2

2x - 5 + x = -2; combine x's

3x - 5 = -2; add 5 to both sides

3x =3; divide by 3

x = 1; use this to solve for y

x+y=5

1 + y = 5; subtract 1 from both sides

y = 4

(x, y) = (1, 4)

First, you have to divide the candles by 5.

225/5 = 45

That's it, so you get your answer 45!!!!

Answer:

A line that slants down from left to right has a negative slope. Horizontal and vertical lines also have a slope.

Step-by-step explanation:

Answer:

4 meters per second

Step-by-step explanation:

200 ÷ 50 = 4

Answer:

i have this question on my test so this is a life saver

Step-by-step explanation:

thanks

Answer:

It is D (-23, -7, 5, 9, 190)

Step-by-step explanation:

:)

Answer:

A

Step-by-step explanation:

for the two of them, the first answer is the answer

Answer:

#1 - First option: y + 7 =  [tex]\frac{-1}{4}[/tex](x -4)

#2 - First option: y = 2x - 5

Step-by-step explanation:

#1

Given: (x1,y1) = (4,-7) and m = [tex]\frac{-1}{4}[/tex];

To find the point slope form which is

y - y1 = m(x - x1); substitute (x1,y1) and m

y - (-7) = [tex]\frac{-1}{4}[/tex](x -4)

y + 7 =  [tex]\frac{-1}{4}[/tex](x -4)

#2

Given: points (x1,y1) = (0, -5) and (x2,y2)=(4,3)

To find the slope we use

m = [tex]\frac{(y2-y1)}{(x2-x1)}[/tex] = [tex]\frac{(3-(-5))}{(4-0)}[/tex] = [tex]\frac{8}{4}[/tex] = 2

Now pick a number to find b

y = mx + b

y1 = mx1 + b

-5 = 2(0) + b

b = -5

now plug into y = mx + b; which is

y = 2x - 5

Answer:

7.1x−6.1

Step-by-step explanation:

Distribute:

=(3.1)(x)+(3.1)(1)+(4)(x)+(4)(−2.3)

=3.1x+3.1+4x+−9.2

Combine Like Terms:

=3.1x+3.1+4x+−9.2

=(3.1x+4x)+(3.1+−9.2)

=7.1x+−6.1

Answer:

7.1x - 6.1

Step-by-step explanation:

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[tex] \cot(teetha) = - 1[/tex]

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The cotangent in simplest form is -1.

Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.

For the given situation,

cos θ = √2 / 2

We know that from trigonometric ratio,

[tex]cos \theta = \frac{Adjacent}{Hypotenuse}[/tex] , [tex]cot \theta = \frac{Adjacent }{ Opposite }[/tex]

So, the adjacent side = √2 and the hypotenuse side = 2.

The other side of the right triangle can be found by Pythagoras theorem,

[tex]hypotenuse^{2}=adjacent^{2}+opposite^{2}[/tex]

⇒ [tex]2^{2}=(\sqrt{2} )^{2} +opposite^{2}[/tex]

⇒ [tex]opposite^{2} = 4-2[/tex]

⇒ [tex]opposite = \sqrt{2}[/tex]

Thus, [tex]cot \theta = \frac{\sqrt{2} }{\sqrt{2} }[/tex]

⇒ [tex]cot \theta = 1[/tex]

Since cot θ < 0, [tex]cot \theta = - 1[/tex]

Hence we can conclude that the cotangent in simplest form is -1.

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Answer:

Step-by-step explanation:

(3^2)^2*(10^3)^2= 8.1*10^7

Broken down to

81*1000000= 81,000,000

Answer:

Step-by-step explanation:

(3²)² is 9², and (10³)² is 1000² so its 9² x 1000² or 9000² or 81 million, 81000000.

Hope this helps ;D

Answer:

31.25

Step-by-step explanation:

25/12=2.083333

15 x 2.0833333=31.24999999995

round up to get 31.25

The height of the sail on his real boat is 20 feet.

We require the height of the sail on the real boat, H.

Let h be the height of sail on the model boat = 12 inches, B = base of sail on the real boat = 25 feet and b = base of sail on model boat = 15 inches.

By similar triangles,

H/h = B/b

H = Bh/b

Substituting the values of the variables into the equation, we have

H = Bh/b

H = 25 feet × 12 inches/15 inches

H = 25 feet × 4/5

H = 5 feet × 4

H = 20 feet

So, the height of the sail on his real boat is 20 feet.

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Answer:[tex]-\frac{3}{10}[/tex]

Step-by-step explanation: