Is (3, 1) a solution to this system of equations?

3x + 3y = 12
12x + y = 13

Yes or no

Answer:

It is actually very simple:

Notice that they don't actually do the square of 49 and 64. For some reason, they do the square root of the values without squaring them. If we were to do it in the right way, the answer would be:

[tex]49^{2} +64^{2} = c^{2}[/tex]⇔ 2401+4096 = [tex]c^{2}[/tex] ⇔ 6497 = [tex]c^{2}[/tex] ⇔ [tex]\sqrt{6497}[/tex] = [tex]\sqrt{c^{2} }[/tex] ⇔ 80,6 ≈ c

I believe this is the answer. I hope I had helped :)

Answer:

y = 0

x = 4

Explanation:

make x the subject,

x - 3y = 4

x = 4 + 3y __ equation 1

2x - 5y = 8

x = (8+5y)/2 __ equation 2

using substitution method:

(8+5y)/2 = 4 + 3y

8 + 5y = 8 + 6y

6y - 5y = 8 - 8

y = 0

Find x,

x = 4 + 3y

x = 4 + 3(0)

x = 4

Answer:

x = 4

y = 0

Step-by-step explanation:

x - 3y = 4      (original)

x = 4 + 3y     (rewritten)

2x -5y = 8                 (second equation)

2(4 + 3y) - 5y = 8      (substitute 4 + 3y for x)

2(4 + 3y) - 5y = 8        (distribute)

8 + 6y - 5y = 8            (combine like terms)

y = 0                           (first variable)

x - 3y = 4            (original)

x - 3(0) = 4          (substitute 0 for y)

x = 4                  (second variable)

You can double check this by plugging these numbers back into each equation; x = 4 and y = 0 is true for both.

I hope this helps!

To find the better buy divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0. 80 per pound.

The cost price per pound is the amount of money required to buy one pound of a brand or goods.

To find the cost price per pound, divide the total amount of cost of the goods to the total number of goods.

At one farmer’s market, bananas cost $0.80 per pound.

At another farmer’s market, bananas are sold in 5-pound bags for $4. 50 per bag. To compare it with first market price, divide the 5 pound bags with $4.50.

The cost of one bag in this market is,

[tex]C=\dfrac{4.50}{5}\\C=0.5625[/tex]

As this cost is less, thus, the cost of this market for one banana is less than the first market and so this is the better buy.

Hence, to find the better buy divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0. 80 per pound.

Learn more about the cost price per pound here;

https://brainly.com/question/20333618

f=72°

d=153°

b=27°

a=64°

be careful i started with f

Answer:

a=64

b=27

d=153

f=72

Step-by-step explanation:

a+72+134+90=360(sum of the angles around a point is 360)

a+296=360

a=360-296

a=64

b=27(vertically opposite angles are equal in magnitude)

27+b+d+e=360(sum of the angles around a point is 360)

d=e (vertically opposite angles are equal in magnitude)

Therefore,

27+27+2d=360

54+2d=360

2d=360-54

2d= 306

d= 306÷2

d= 153

108+f=180(sum of the adjacent angles on a straight line is 180)

f=180-108

f=72

Hey there!

1/2 lwh = v

lwh = 2v

h = 2v/lw

Formula:

H = 2v / l w

H = 2(266.5ft³)/lw

H = 533/lw

Other length are Missing like length and width

Incomplete question

Answer:

The answer is 8.2, I took the test.

Answer:

$31.05

Step-by-step explanation:

You can get this answer by changing percent (13.5%) to just 13.5, or in other words, a decimal. you also change 230. to a decimal by by moving the decimal point two times to the left to get 2.30. You can then get your answer by multiplying the values together (2.30 x 13.5)

Answer:

x is 19.5 degress

Step-by-step explanation:

hmmm so here oh i see now okay:

since a line is 180 degress lets write

2x + 82.5 + 3x = 180

now we umm add the ones with the same variable and power

5x + 82.5 = 180

5x = 180 - 82.5

5x = 97.5

x = 19.5

This is an angle on a straight line and It is equal to 180°

2x° + 3x° + 82.5° = 180°

5x° = 180° - 82.5°

5x = 97.5°

x = 19.5°

To indicate the angle

2x => 2(19.5°) => 39°

3x => 3(19.5°) => 58.5°

The angle are (39°, 82.5°, 58.5°

Answer: 200 students gave their speeches.

Explanation;

240 ÷ 6 = 40

40 x 5 = 200

Answer:

12

Step-by-step explanation:

pythagorean theorem

Answer:

-14x + 6 (option D)

Step-by-step explanation:

To solve the given equation, you first need to distribute the negative 3.

So, you need to multiply

(4x)(-3)  ;  (-2)(-3)

(4x)(-3)= -12x

(-2)(-3)= 6

So, your new, distributed, equation would be:

-12x + 6 - 2x

If we combine like terms (-12x - 2x), our new equation will be:

-14x + 6

The difference in price per passenger for a group of 16 versus a group of 10 for this condition is given by: Option D: $26.25

A graph contains data of which input maps to which output.

For Cartesian plane, this includes inputs x-axis, and corresponding output on y axis and the highlighted point (x,y) shows that the x value is related to the specific y value.

For the considered case, the missing image is attached below.

From the image, we see that corresponding to the value of number of people 10, the corresponding point on the graph is connected with vertical axis at $1300

For number of people 16, it is $2500

The difference in these prices is 156.25 - 130 = 26.25 (in dollars)

Thus, the difference in price per passenger for a group of 16 versus a group of 10 for this condition is given by: Option D: $26.25

Learn more about graphing functions here:

https://brainly.com/question/10166124

Answer:

D. $26.25

Step-by-step explanation:

edg

Answer:

Step-by-step explanation:

The exponents subtract. really easy 7-2=5

There are infinite possiblities to this.

SonicIsCoool, im at your service if you need more help :)

Thank you.

Answer:

[tex]\frac{a^{8} }{a^{3} }[/tex]

Step-by-step explanation:

using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] , then

[tex]\frac{a^{8} }{a^{3} }[/tex] = [tex]a^{(8-3)}[/tex] = [tex]a^{5}[/tex]

The length of the colony is the product of 5. 3 × 10^3 and the length of the bacteria

The total length of the colony is 143.1 mm

The given parameters are:

Bacteria = 2.7 × 10^–2 mm.

Colony = 5. 3 × 10^3 of the bacteria

So, the length (L) of the colony is:

[tex]L = 5.3 * 10^3 * 2.7 * 10^{-2[/tex]

Rewrite as:

[tex]L = 5.3 * 2.7* 10^3 * 10^{-2[/tex]

Evaluate the products

[tex]L = 14.31* 10[/tex]

Evaluate the product

[tex]L = 143.1[/tex]

Hence, the total length of the colony is 143.1 mm

Read more about lengths at:

https://brainly.com/question/24487155

Answer:

45 ft^2.

Step-by-step explanation:

Area = area of the square + 2 * area of one triangle

= 5^2 + 2 * 1/2 * 5 * 4

= 25 + 20

= 45 fT^2.

Answer:

7

Step-by-step explanation:

Answer:

34.52

Step-by-step explanation:

Multiplication plus may i have branlies t

Answer:

the total would be 34.52

Step-by-step explanation:

If we have 4 Cd's that cost 8.63 a piece, all we would need to do is multiply 8.63 by 4, or just add 8.63 4 times.

hope this helps, please rate and mark as brainlest.

Answer:

the pizza one is 4/8

Step-by-step explanation:

skating one 6.75 miles

Answer:

since there are 30 students as a whole and 20 boys make up part of the class, you can assume that there are 10 girls in the class. since the mean mark for boys is 62 I think the mean mark for girls would be 8%

Step-by-step explanation:

car is travelling faster

22 - 18 = 4 meter per second

hope it helps...!!!

Answer:

The Height of the building would be 20 feet.

Step-by-step explanation:

1.) 1/8 = 2.5/X

2.) Answer: 20 Feet

3.) Cross Multiply

    - 1 inch is to 8 feet as 2.5 inches is to 20 feet.

Answer:

2/15

Step-by-step explanation:

Given:

A box contains 4 white balls and 6 yellow balls. A ball is drawn at random from the box and is not replaced. What is the probability that both balls are white?

8/45

3/25

4/25

2/15

Solve:

Knowing that total = 10 { 4 white balls and 6 yellow balls}

P(first white)=4/10=2/5 { 4 out of 10 balls are white}

P(second white)=3/9=1/3 { 3 out of 9 balls are white; Since no replaced}

P(both white)=2/5 × 1/3=2/15

Hence, Answer = 2/15

Lenvy~

Answer:

36 feet

Step-by-step explanation:

Hello!

Recall that the formula for the area of a triangle is [tex]\frac12b*h[/tex]

That means the equations is 144 = 0.5(8 * h)

Solve:

The height is 36, but since the units are feet, it is 36 feet.

In the question it is given that a triangular garden has an area of 144 ft² and measure of its base is 8ft. So we would be simply using the formula of calculating the area of rectangle.

Here,

To calculate :

We have :

Putting the values in formula :

[tex] \implies \: \sf{144 = \: \dfrac{1}{2} \times l \times 8 } \\ \\ \implies \: \sf{144 = \: \dfrac{1}{ \cancel2} \times l \times \cancel8 } \\ \\ \implies \: \sf{144 = \: \dfrac{1}{1} \times l \times 4 } \\ \\ \implies \: \sf{144 = \: l \times 4 } \\ \\ \implies \: \sf{ l \: = \: \dfrac{144}{4} } \\ \\ \implies \: \sf{ l \: = \: \cancel\dfrac{144}{4} } \\ \\ \implies \: \sf{ l \: = \: \dfrac{72}{2} } \\ \\ \implies \: \sf{ l \: = \: \cancel\dfrac{72}{2} } \\ \\ \implies \: \sf{ l \: = \: \dfrac{36}{1} } \\ \\ \implies \: \red{\underline{\underline{\bf{ l \: = \: 36 }}}}[/tex]

Henceforth,

Answer:29.2

Step-by-step explanation:The equation used to add a markup percent to a product is the cost plus the markup percentage multiplied by the cost.

Answer:

$29.20

Step-by-step explanation:

The original price of an item is 100%, so a 60% mark up means that the price will now be 160% of the original price.

160% = 160/100 = 1.6

⇒ 160% of $18.25 = 1.6 × 18.25 = $29.20

Answer:

[tex]P(r)=65536(\frac{1}{2})^{r}[/tex]

Step-by-step explanation:

Since the total number of participants in the tournament is 65,536 people, and the exponential decay is [tex]\frac{1}{2}[/tex], using [tex]P(r)[/tex] as the representative of the number of people after [tex]r[/tex] rounds, the formula to represent the model would be [tex]P(r)=65536(\frac{1}{2})^{r}[/tex].

Answer:

[tex]p_r = 65\ 536 \div 2^r = 65\ 536 \div 2^-^r = 2^{16-r}; r\ \in \{0,1,2,3...16\}[/tex]

Step-by-step explanation:

Pet peeve of mine: let's call it [tex]p_r[/tex]  (read p sub r)since it's a representation over the natural numbers and not over [tex]\mathbb{R}[/tex].

Old man yelling at clouds moment gone, we know that the number of people gets halved every time so

At round 0, we do not halve, so [tex]p_0 = 65\ 536\div 1[/tex]

At round 1, we halve once, so [tex]p_1 = 65\ 536\div 2[/tex]

At round 2, we halve twice, so [tex]p_2 = 65\ 536\div 4 = 65\ 536\div 2^2[/tex]

At round 3, we halve three times, so [tex]p_3 = 65\ 536\div 8 = 65\ 536\div 2^3[/tex]

...

At round k, we halved k times, so [tex]p_k = 65\ 536 \div 2^k[/tex]

...

At round 16 we [tex]2^1^6 =65\ 536[/tex] so we have a winner.

That allows us to write a formula. I personally find the last one to be the neater, but any of the three is formally correct.

[tex]p_r = 65\ 536 \div 2^r = 65\ 536 \div 2^-^r = 2^{16-r}; r\ \in \{0,1,2,3...16\}[/tex]

Answer:

13.93

Step-by-step explanation:

find the mean
11.60 + 16.25 ÷ 2 = 13.93

Answer:

sin M = [tex]\frac{12}{13}[/tex], tan M = [tex]\frac{12}{5}[/tex], cos M = [tex]\frac{5}{13}[/tex]

Step-by-step explanation:

The sine of an angle is equal to [tex]\frac{opposite}{hypotenuse}[/tex].  The opposite (opposite from the angle) side is 12 and the hypotenuse is 13.

The tangent of an angle is equal to [tex]\frac{opposite}{adjacent}[/tex].  The opposite side is 12 and the adjacent (next to the angle) side is 5.

The cosine of an angle is equal to [tex]\frac{adjacent}{hypotenuse}[/tex].  The adjacent (next to the angle) side is 5 and the hypotenuse is 13.

Answer:

x=[80]

Step-by-step explanation:

angle 1+angle 2+angle x=180

50 +50+x=180

100+x=180

100-100+x=180-100

x=80

Answer:

80

Step-by-step explanation:

The triangle on the image is an isosceles triangle so both of the bottom angles' measure = 50

The sum of interior angles in a triangle is equal to 180

if two angles has 50 degrees then x:

50 + 50 + x = 180

100 + x = 180 subtract 100 from both sides

x = 80

Answer:

x = 3 , x = 7

Step-by-step explanation:

3(x - 5)² - 17 = - 5 ( add 17 to both sides )

3(x - 5)² = 12 ( divide both sides by 3 )

(x - 5)² = 4 ( take square root of both sides )

x - 5 = ± [tex]\sqrt{4}[/tex] = ± 2 ( add 5 to both sides )

x = 5 ± 2

then

x = 5 - 2 = 3

x = 5 + 2 = 7