Solve the linear equations

2y - 2x = - 30
x = 3y + 9

Answer:

y=36

Step-by-step explanation:

using that 63° angle there on the right, we know that the other angle for a 180° total is 117°.

Now we have to figure out y using that total of 117

(4y-27)=117

4y-27=117

4y=144

y=36

Now if we substitute y...

(4y-27)=117

(4(36)-27)=117

(144-27)=117

(117)=117

Answer:

We conclude that 520 tickets will be sold in the first 5 hours of the tickets go on sale.

Hence, option A is true.

Step-by-step explanation:

Given that the tickets to a concert went on sale at 10 a.m. by 12 p.m.

Given that the tickets sold in 2 hours = 208

Thus,

Unit rate = 208 tickets / 2 hours

              = 104 tickets per hour

Therefore,

Tickets sold in the first 5 hours of the tickets go on sale:

104 × 5 = 520 tickets

Therefore, we conclude that 520 tickets will be sold in the first 5 hours of the tickets go on sale.

Hence, option A is true.

Answer:

[tex]6s - \frac{3}{4}=3(2s - \frac{1}{4})[/tex]

Step-by-step explanation:

Given

[tex]6s - \frac{3}{4}[/tex]

Required

Factorize

[tex]6s - \frac{3}{4}[/tex]

Express 6s as 3 * 2s

[tex]3 * 2s - \frac{3}{4}[/tex]

Express 3/4 as 3 * 1/4

[tex]3 * 2s - 3 * \frac{1}{4}[/tex]

Factorize:

[tex]3(2s - \frac{1}{4})[/tex]

Hence:

[tex]6s - \frac{3}{4}=3(2s - \frac{1}{4})[/tex]

Answer:

The answer is 1.2

Step-by-step explanation:

Answer:

Midpoint={5.5,1}

Step-by-step explanation:

M={x1+x2/2,y1+y2/2}

M={6+5/2,-2+4/2}

M={11/2,2/2}

M={5.5,1}

Answer:

D

Step-by-step explanation:

There are 5 ways to prove congruence:

1. SSS (3 sides)

Not applicable here

2. SAS (side-angle-side)

This requires a side, then an angle in between, and another side. This cannot be met with angles (as we currently have side-angle) so none of these are possible

3. ASA (angle-side-angle)

This is a side between angles, so if we squished line AC between angles C and A, and angle A=angle O, this would be true -- B is one answer

4. AAS (angle-angle-side)

Similar to option 3, but would be with angles T and G instead,

D is another answer

5. hypotenuse leg (only in right triangles)

The reason T and G fit AAS is because we hit angle T, then angle C, then side CA, all congruent with G, D, and DO in that order.

Answer:

a^2+b^2=c^2

15+17=32cm

Step-by-step explanation:

Answer:

57.59cm

Step-by-step explanation:

Use the Pythagorean theorem to calculate the hypotenuse from right triangle sides. Take a square root of sum of squares:

c = √(a² + b²)

Right triangle with law of sines formulas. a over sin(α) equals b over sin(β) equals c, because sin(90°) = 1

Given angle and one leg

c = a / sin(α) = b / sin(β), from the law of sines

Given area and one leg

As area of a right triangle is equal to a * b / 2, then

c = √(a² + b²) = √(a² + (area * 2 / a)²) = √((area * 2 / b)² + b²)

Answer:

[tex]\dfrac{31}{2}+\dfrac{27}{2}i[/tex]

Step-by-step explanation:

The given complex number is:

[tex]z=\dfrac{(2+3i)(4-7i)(1+i)}{(1^2-i^2)}[/tex]

Firstly we can solve (2+3i)(4-7i)(1+i)

= 2(8)+2(-7i)+4(3i)+3i(-7i²)× (1+i)

= (16-14i+12i-21i²i)× (1+i)

Since, i² = -1

= (16-14i+12i-21(-1)i)× (1+i)

= (16-14i+12i+21)× (1+i)

= (29-2i)(1+i)

= 31+27i

Denominator : (1-i²)

= (1-(-1))

= 2

[tex]\dfrac{(2+3i)(4-7i)(1+i)}{(1^2-i^2)}=\dfrac{31+27i}{2}\\\\=\dfrac{31}{2}+\dfrac{27}{2}i[/tex]

Hence, the correct answer is [tex]\dfrac{31}{2}+\dfrac{27}{2}i[/tex].

Answer:

6

Step-by-step explanation:

2/ 1/3=6

The reason why is because, when you divide a fraction it will become a multiplication and depending on the numerator and the denominator it changes the number. For example, 2/ 2/3 would be 3. Therefore, your answer to this question would be 6.

Answer:

2cos(330º)

Step-by-step explanation:

both equal to √3

Expressing 4cos2(165°) – 2 as a single trignometric function, it will be written as : 2cos(330º)

Trigonometric function can be defined as real functions in mathematics that forms a relationship between an angle of a right-angled triangle to the ratio of the length of two sides.

Trigonometric function is very important as it is mostly concerned with functions of angles and their application in calculation

In conclusion, to express 4cos2(165°) – 2 as a single trignometric function, it will be written as : 2cos(330º)

Learn more about  trigonometric  function: https://brainly.com/question/24349828

#SPJ2

Step-by-step explanation:

s = ut + 0.5at²

= (3)(1/3) + 0.5(-12)(1/3)²

= 1 - 2/3

= 1/3

The value of s is 1/3.

Answer:

[tex]s = ut + \frac{1}{2} a {t}^{2} \\ s = (3 \times \frac{1}{3} ) + ( \frac{1}{2} \times -12 \times {( \frac{1}{3}) }^{2} ) \\ s = (1) + ( -\frac{2}{3} ) \\ s = - \frac{1}{3} \\ s = -\frac{1}{3} \: metres[/tex]

Answer:

b) [tex]d[/tex] = 84 miles

c) [tex]h[/tex] = 14.3 hours

Step-by-step explanation:

Given that:

The speed of Colton is constant while riding a bike.

Formula for speed is given as:

[tex]Speed = \dfrac{Distance}{Time}[/tex]

If speed is constant, then we can deduct that:

[tex]Distance \propto Time[/tex]

Time = 3.5 hours

Distance = 49 miles

Therefore, the speed will be equal to:

Speed = [tex]\frac{49}{3.5}[/tex] = 14 miles/hr

b) Given that:

Time = 6 hours, then we have to find the distance to be hiked if the speed is same.

[tex]14 = \dfrac{d}{6}\\\Rightarrow d = \bold{84}\ miles/hr[/tex]

c) Given that:

Distance = 200 miles

Number of hours = [tex]h[/tex]

To find, the value of [tex]h[/tex].

[tex]14 = \dfrac{200}{h}\\\Rightarrow h = \dfrac{200}{14}\\\Rightarrow h = \bold{14.3}\ hours[/tex]

Answer:

$23.75

Step-by-step explanation:

5.50*2=11

4.25*3=12.75

11.00+12.75=23.75

Answer: See explanation

Step-by-step explanation:

You didn't really say what you want to know but let me explain.

The gross domestic product of an economy is the value of the goods and.d services that are being produced in such an economy. The gross domestic Product is used to know how well an economy is doing

Per capita gross domestic product (GDP) is a used to know the economic output of a particular country per person. It is calculated by dividing the GDP of such an economy by the population.

For example, let us say the GDP of a country is $800,000,000 and the population is 3,500,254. Therefore, the per capita GDP would be:

= $800,000,000 / 3,500,254

= $228.56 per person

Answer:total market value of goods and services produced within a year divided by total population

Step-by-step explanation:

basic defenition

Answer:

25% i believe

Step-by-step explanation:

40 is 1/4 (or 25%) of 160

Answer:

slope = - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 5x + 9 ← is in slope- intercept form

with slope m = - 5

Answer:

f(1) = 1

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

f(1) is asking for the y-value when x = 1. According to the graph of f, when x = 1, y = 1. Therefore, f(1) = 1.

Answer:

Felicia needs 3.17 minutes to run once around the track

Step-by-step explanation:

Subtraction

Shaq is known to run once around the track in 8.07 minutes. Felicia runs once around the track in 4.90 less than Shaq.

We don't know how long does it take Felicia to run once around the track, but we can find it by subtracting the time done by Shaq with the difference between their relative times.

Felicia takes 8.07 min - 4.90 min = 3.17 min.

Felicia needs 3.17 minutes to run once around the track

Answer: x = 4

Step-by-step explanation:

first, we calculate it.

-x = 8 - 3x

then, we move the variable to the left.

-x + 3x = 8

then, we collect like terms.

2x = 8

finally, we divide both sides.

x = 4

Answer:

-3 < x < -2

Step-by-step explanation:

Here, we want the interval in which g is increasing

The interval are the point in which we have an upward curve

From the given graph, we can see an upward curve at -3 < x < -2

And that is our answer

Answer:

[tex]48[/tex]

Step-by-step explanation:

There are [tex]6[/tex] pots each of which contains [tex]8[/tex] flowers.

In the bar model it can be seen that one unit of the bar represents a pot with [tex]8[/tex] flowers. The entire bar represents [tex]6[/tex] pots. We will need to add [tex]8[/tex] six times or multiply [tex]8[/tex] with [tex]6[/tex] to find the total number of flowers.

So total number of flowers is

[tex]8+8+8+8+8+8=48[/tex]

or

[tex]8\times 6=48[/tex].

So, the total number of flower is [tex]48[/tex].

Given:

Twice the sum of x and 3 is decreased by 13.

To find:

The expression for the given statement.

Solution:

The sum of x and 3 is (x+3).

Twice the sum of x and 3 is two times of (x+3), i.e., 2(x+3)

Negative sign is used of decrease.

Decreased by 13 is represented by -13.

Using these representation, we get

Twice the sum of x and 3 is decreased by 13: [tex]2(x+3)-13[/tex]

Therefore, the required expression is [tex]2(x+3)-13[/tex].

Answer:2

Step-by-step explanation:

plz leave a like

Answer:

21.3%

Step-by-step explanation:

Given that:

Money spent by Jodie for buying English reading books = 25% lesser than that of Claudia

and

Money spent by Gianna is 9% lesser than that of Claudia.

To find:

By what percent, Gianna spent more than Jodie ?

Solution:

Let the money spent by Claudia on her English books = 100

Now, as per question statement:

Money spent by Jodie = 100 - [tex]\frac{9}{100}\times 100[/tex] = 75

Money spent by Gianna = 100 - [tex]\frac{25}{100}\times 100[/tex] = 91

Now, to find the answer:

[tex]\dfrac{\text{Difference between money spent by Gianna and Jodie}}{\text{Money spent by Jodie}}\times 100[/tex]

[tex]\Rightarrow \dfrac{91-75}{75}\times 100\\\Rightarrow \dfrac{16}{75}\times 100\\\Rightarrow \bold{21.3\%}[/tex]

Therefore, Gianna spent 21.3% more than the amount that was spent by Jodie.

Step-by-step explanation:

2x^3=128

or,x^3=128/2

or,x^3=64

or,x=3√64

or,x=4

Answer:

5p+4>14 (A)

Step-by-step explanation:

Open dot means that the value is not included.

Answer:

$11.80

Step-by-step explanation:

3*$1.10 = $3.30

price without tax,

= 38.70-3.30

= 35.40

Cost of each CD,

= 35.40/3

= 11.80

Answer:

11.80 dollars

Step-by-step explanation:

Well, first I would multiply 1.10 by 3 which is 3.30 then subtract 38.70 - 3.30 and get 35.40, and finally divide 35.40 by 3 to get 11.80

Answer:

The inequality is 6x ≥ -24

The solution of this inequality is {x : x ∈ R, x ≥ -4} ⇒ [-4, ∞)

Step-by-step explanation:

Let us solve the question

∵ Six times a number x means 6 × x = 6x

∵ At least means ≥

∴ Six times a number x is at least -24 is 6x ≥ -24

∴ The inequality is 6x ≥ -24

Now we will find the solution of the inequality

∵ 6x ≥ -24

→ Divide both sides by 6

∵ [tex]\frac{6x}{6}[/tex] ≥ [tex]\frac{-24}{6}[/tex]

∴ x ≥ -4

∴ The solution of this inequality is {x : x ∈ R, x ≥ -4} ⇒ [-4, ∞)

Answer:

The inequality is 6x ≥ -24

The solution is x ≥ -4

Step-by-step explanation:

To solve this you have to divide both sides by 6, so 6 ÷ 6 cancels out and -24 ÷ 6 = -4

So, the solution is x ≥ -4

Answer:

800,00

Step-by-step explanation:

It's simple math

Answer:

800,000

Step-by-step explanation:

Because the ten thousand's place is not 5 or more than that!