Use a system of equations to solve the following problem:


I NEED THIS ANSWER ASAP PLEASE

Answer: 71 coins

Step-by-step explanation:

First and foremost, we should note that:

12 months = 1 year

2 years = 12 × 2 = 24 months

Since she has 25 coins in her first month and adds 2 coins to her monthly collections, this means that she has 23 more months. This can be expressed as:

= 25 + 2x

where, x = number of months

= 25 + 2(23)

= 25 + 46

= 71 coins

She will have 71 coins after 2 years.

If ∆PQR≅∆ XYZ

that means PQ≡XY;QR≡YZ;PR≡XZ

Answer:

Step-by-step explanation:

Slope-intercept form means the equation of a line should be in this form:

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

So we re-write our equation into this form like this:

[tex]6x-15y=135\\-15y=-6x+135\\y=\frac{-6x+135}{-15} \\\\y=\frac{-6x}{-15}+\frac{135}{-15} \\\\y=\frac{2}{5}x-9 \\[/tex]

Answer:

41, 28

Step-by-step explanation:

x+x-13=69

2x=69+13=82

x=82/2=41

41-13=28

Answer:

x = 76

Step-by-step explanation:

Given

f(x) = [tex]\frac{1}{4}[/tex] x + 5 and f(x) = 24, then equate the right sides

[tex]\frac{1}{4}[/tex] x + 5 = 24 ( subtract 5 from both sides )

[tex]\frac{1}{4}[/tex] x = 19 ( multiply both sides by 4 to clear the fraction )

x = 76

Answer:

p + n ≠ 18

Step-by-step explanation:

Answer:

2 1/3 ; 9 1/3

Step-by-step explanation:

Given that:

Outside temperature increases by 3 1/2 degrees every 1 1/2 hours

The rate per hour of temperature increase will be :

Let rate per hour = x

3 1/2 = 1 1/2

x = 1

Cross multiply :

1 1/2 * x = 3 1/2 * 1

3x/2= 7/2

Multiply both sides by 2/3

3x/2 * 2/3 = 7/2 * 2/3

x = 14/ 6

x = 2 2/6

x = 2 1/3

Hence, outside temperature increases at the rate of 2 1/3 degrees per hour.

2.) Temperature increase after 4 hours :

(Temperature rate per hour * number of hours)

(2 1/3) * 4

(7/3) * 4

28 / 3

= 9 1/3

Hence, temperature increase after 4 hours = 9 1/3

2 1/3 ; 9 1/3

Step-by-step explanation:

Given that:

Outside temperature increases by 3 1/2 degrees every 1 1/2 hours

The rate per hour of temperature increase will be :

Let rate per hour = x

3 1/2 = 1 1/2

x = 1

Cross multiply :

1 1/2 * x = 3 1/2 * 1

3x/2= 7/2

Multiply both sides by 2/3

3x/2 * 2/3 = 7/2 * 2/3

x = 14/ 6

x = 2 2/6

x = 2 1/3

Hence, outside temperature increases at the rate of 2 1/3 degrees per hour.

2.) Temperature increase after 4 hours :

(Temperature rate per hour * number of hours)

(2 1/3) * 4

(7/3) * 4

28 / 3

= 9 1/3

Hence, temperature increase after 4 hours = 9 1/3

I know because i am in the future

Answer:

x = 5

Step-by-step explanation:

to find the slope of the line you take the difference of the y-values divided by the difference of the x-values;  the denominator results in zero

When the denominator for slope is zero then you know the line will not intersect the y-axis at all and the line will be vertical and intersect the x-axis at the x-coordinate of any known point

any fraction with zero in the denominator is considered to be 'undefined'

any fraction with zero in the numerator is zero

Answer:

u should times 24 by 24 which will make 576

Step-by-step explanation:

Answer:

Here the answer to your question

Step-by-step explanation:

Answer: The required simple interest = $240

Step-by-step explanation:

Formula for simple interest:

Interest = Principal x rate x time

Given: Principal = $800

rate of interest = 5% = 0.05

Time = 6 years

Interest = 800 x 0.05 x 6 = $240

Hence, the required simple interest = $240

Answer:

29%

Step-by-step explanation:

To find the decrease from 50 to 21 you would subtract 50 - 21. You get 29. This is the same as 29/100. 29/100 is also 0.29 or 29%.

Hope it helps! (I'm so sorry if it's incorrect).

Answer:

57.9% please give me brainliest i used a percentage calculator :)))

Step-by-step explanation:

Answer:

The answer is "[tex]\bold{17456.6 \ ft}[/tex]"

Step-by-step explanation:

Please find the complete question in the attached file.

[tex]\sin \theta = \frac{P}{h}\\\\\to BC =x\\\\\to BD =y\\\\[/tex]

The height of tower (AB) = 300 ft

Distance = CD

[tex]\Delta ABC \\\\\sin \theta = \frac{AB}{AC}\\\\\sin (2.5) = \frac{300}{AC}\\\\Ac= \frac{300}{\sin (2.5)}\\\\AC= 6877.68 \\\\\Delta ABD \\\\\sin \theta = \frac{AB}{AD}\\\\\sin (1.3) = \frac{300}{AD}\\\\AD= \frac{300}{\sin (1.3)}\\\\AC= 1322.33[/tex]

calculating CD :

[tex]CD^2 = AC^2 +AD^2 -2\cdot AC \cdot AD \cdot \cos(117^{\circ}) \\\\CD = \sqrt{(6877.68)^2 +(13223.23)^2 -2\cdot (6877.68) \cdot (13223.23) \cdot \cos(117^{\circ})}\\\\CD =\sqrt{47302482.1824 + 174853811.6329 - 82576463.207}\\\\CD= \sqrt{304732757.02}\\\\CD= 17456.6 \ ft[/tex]

Answer: A) 90.75 ft.

Step-by-step explanation: because if we cut 10 from 100 we will get 90

Answer:

Question a:

[tex]\frac{(2^3)^6 \times 9^3}{4^2 \times 27}\\= \frac{2^{18} \times 3^6}{2^4 \times 3^3}\\=2^{14} \times 3^3[/tex]

Question b:

[tex]\frac{35 \times 7^3}{5^2 \times 343}\\= \frac{7 \times 5^1 \times 7^3}{5^2 \times 7^3}\\= \frac{5^1 \times 7^4}{5^2 \times 7^3}\\=\frac{7^1}{5^1} = \frac{7}{5}[/tex]

Question c:

Note that this one is particularily simple as anything to the power of zero is equal to 1

[tex]((\frac{2^4 \times 3^6}{12^2})^0)^3\\= 1^3\\ =1[/tex]

Question d:

[tex]\frac{13^3 \times 7^0}{((65 \times 49)^2)^1}\\\frac{13^3}{(65 \times 49)^2}\\\frac{13^3}{(13 \times 5 \times 49)^2}\\\frac{13^3}{13^2 \times 5^2 \times 7^4}\\\frac{13}{5^2 \times 7^4}[/tex]

Answer:

C IS 100 F is 100 they usually give numbers to subtract but ion see it

Answer:

y = -1 !!!!!!!!!!! :)))))))))))))

Answer:

y=-1

Step-by-step explanation:

symmetry is where it is the same on both sides, so that would be the line between the top and bottom point and because they are up and down it is a y whereas if it were side to side it would be x. it is on the left side which are negatives and it is one over to the left making it y=-1

Step-by-step explanation:

need a thanks and thats it...

Answer:

Step-by-step explanation:

As per diagram, the triangles have 3 congruent sides:

So they are congruent by SSS criteria

Answer:

4594.76 USD will be in the account on Burt's 18th birthday.

Step-by-step explanation:

Since interest rate is constant in time, we can use the definition of composite interest to determine how much money will be on Burt's 18th birthday, that is:

[tex]C = C_{o}\cdot \left(1+\frac{r}{100} \right)^{t}[/tex] (1)

Where:

[tex]C_{o}[/tex] - Initial amount, measured in US dollars.

[tex]C[/tex] - Current amount, measured in US dollars.

[tex]r[/tex] - Annual interest rate, measured in percentage.

[tex]t[/tex] - Time, measured in years.

If we know that [tex]C_{o} = 1250\,USD[/tex], [tex]r = 7.5[/tex] and [tex]t = 18[/tex], then the money in the savings account on Burt's 18th birthday is:

[tex]C = (1250\,USD)\cdot \left(1+\frac{7.5}{100} \right)^{18}[/tex]

[tex]C = 4594.76\,USD[/tex]

4594.76 USD will be in the account on Burt's 18th birthday.

lol that's cool because i didn't know either

Answer:

3:5

Step-by-step explanation:

Answer:

1. y=3x-2

2. y=-1/4x+5

These equations are in slope-intercept form (y=mx+b). IN this equation m represents the slope and b represents the y intercept. Therefore, y=3x-2 and y=-1/4x+5 are correct

Step-by-step explanation:

Answer:

12.50$

Step-by-step explanation:

3 dollars for 1 yard

3x4=12

.25x2=50

12.50$

Answer: 30 OR C

Step-by-step explanation:

Answer:

x < 15/2

Step-by-step explanation:

Step 1: Divide both sides by 2.

2x/2 < 15/2

x < 15/2

Answer:

x = 1.73

y = 2.45

z = 1.41

Step-by-step explanation:

1/z = z/2

z^2 = 2

z = sqrt(2)

1^2 + z^2 = x^2

1 + 2 = x^2

x^2 = 3

x = sqrt(3)

z^2 + 2^2 = y^2

2 + 4 = y^2

y^2 = 6

y = sqrt(6)

x = 1.73

y = 2.45

z = 1.41

x=17

[tex]{\boxed{\quad\:\mapsto\rm Firstly\:Let's\:understand\:the\:concept:-}}[/tex]

This is a isosceles triangle. As it is a triangle we can apply sum theory. we have to take the sum of given unknown polynomials as 180° .Then by solving it we can find the value of x.

Given angles

According to sum theory

[tex]{\boxed{\sf The \:sum\:of\:angles=180°}}[/tex]

[tex]\qquad \quad{:}\longmapsto\tt (6x+10)+(x+17)+(4x-34)=180 [/tex]

[tex]\qquad \quad{:}\longmapsto\tt 6x+10+x+17+4x-34=180 [/tex]

[tex]\qquad \quad{:}\longmapsto\tt 6x+x+4x+10+17-34=180 [/tex]

[tex]\qquad \quad{:}\longmapsto\tt 11x-7=180 [/tex]

[tex]\qquad \quad{:}\longmapsto\tt 11x=180+7 [/tex]

[tex]\qquad \quad{:}\longmapsto\tt 11x=187 [/tex]

[tex]\qquad \quad{:}\longmapsto\tt x=\cancel{\dfrac{187}{11}}[/tex]

[tex]\qquad \quad{:}\longmapsto\tt x=17[/tex]

[tex]\therefore\sf The \:value\:of\:x\;is\:17.[/tex]

Answer: 12

Step-by-step explan

The opposte to dividing by 12 is multiplying by 12