What is the solution to this system of linear equations? 2x + 3y = 3 7x – 3y = 24 (2, 7) (3, –21) (3, –1) (9, 0)

Answers

Answer 1

2x +3y=3

7x-3y=24

solve the above equations

2x+3y=3

+7x-3y=24

9x=27

x=27/9

x=3

substitute the value of x in 2x+3y=3

2(3)+3y=3

6+3y=3

3y=3-6

3y=-3

y=-3/3

y=-1

so the solution is

{x=3,y=-1}

Answer 2

Answer:

C : (3, -1)

Step-by-step explanation:


Related Questions

Please help! Read question 5.

Answers


1 centimeter =10 millimeters
10x3=30millimeters
30+47=77 millimeters
Hope that helps :).

the diagram shows the diiferance between my home h and two towns

Answers

Answer:

a. 20 mins

b. 30 mins

c. 4mph

Answer:

a)30

b)40

c)36

Step-by-step explanation:

Solve d = rt if r = 46 and t = 5

Answers

Hey!!

r=46

t=5

now,

D=RT

= 46*5

=230

the value of d is 230

hope it helps..

Answer:

230 is the answer

Step-by-step explanation:

Since r and t are given in the question as

r=46 and t=5

Substitute the value of r and t which is given in the polynomial

So it'll be,

d=rt

d = 46 x 5

= 230

Therefore d is 230 units

Hope this helps!

If you cut a 12-inch loaf of bread into -inch slices, you would have ______
slices of bread.

Answers

12, because each slice would be an inch in a 12-inch loaf of bread

Answer:

12 divided by 1/2 = 24

Step-by-step explanation:

for an angle 0 with the point (-5,-12) on its terminating side, what is the value of cosine?
A. -5
B. -12
C. -5/13
D. -12/13

Answers

Answer:

We have to find the value of cosine for an angle with point ( 5, - 12 ) on its terminating side. First we have to find the hypotenuse ( Adjacent = 5, Opposite = 12 ) : c^2 = 5^2 + 12^2 = 25 + 144 = 169; c = sqrt(169 ), c = 13. Cosine for an angle = Adjacent / Hypotenuse = 5 / 13 = 0.385. Answer: The value of cosine is 5/13, Hope that helps!.

What angle measure is complementary to a 65 angle?

Answers

Answer:

x = 25

Step-by-step explanation:

Complementary angles add to 90 degrees

x+65 = 90

Subtract 65 from each side

x = 90-65

x = 25

The Definition of Complementary Angles states that if two angles are

complementary, then the sum of their measures is 90°.

To find the complement of an angle, we take 90 degrees minus the

measure of the angle which in this case 90° - 65° or 25°.

So the complement of the 65° angle measures 25°.

Andy's savings account pays 0.3% more interest than Marty's. What is 0.3% written as a decimal number?
A. 0.003
B. 0.3
C. 0.0003
D. 0.03

Answers

Answer:

A. 0.003

Step-by-step explanation:

When using decimals to represent a percentage it goes as follows:

100% = 1

75% = 0.75

50% = 0.5

25% = 0.25

1% = 0.01

And in the case of this problem: 0.3% = 0.003

A. 0.003

To go from a percentage to a decimal, you would remove the percent sign and move the decimal two places to the left.

Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 80 miles per hour. The westbound train
travels at 70 miles per hour. How long will it take for the two trains to be 360 miles apart?
Do not do any rounding.

Answers

Answer:

2.4 hours

Step-by-step explanation:

after an hour the distance between them will be 80+70=150 miles

1 hour  .......150 m

x hours .......360 m

x*150=360

x=360/150

x=2.4 hours

Answer: 2.4 hours

Step-by-step explanation:

Distance = speed x time

1st train = 80t

2nd train = 70t

80t + 70t = 360

t = 360/150 = 2.4 hours

Mrs. Linda has 17.16 cups of brownie mix. If each
brownie uses 0.33 cups of mix, how many
brownies can Mrs. Linda make?

Answers

Answer:

52 brownies

Step-by-step explanation:

If you divide 17.16 by 0.33, you get 52

Analyze the graphed function to find the local minimum and the local maximum for the given function. Which statements about the local maximums and minimums for the given function are true? Choose three options. Over the interval [1, 3], the local minimum is 0 Over the interval [2, 4], the local minimum is –8. Over the interval [3, 5], the local minimum is –8. Over the interval [1, 4], the local maximum is 0. Over the interval [3, 5], the local maximum is 0.

Answers

Answer:

Over the interval [2, 4], the local minimum is –8,Over the interval [1, 3], the local minimum is 0,and Over the interval [3, 5], the local maximum is 0.

Step-by-step explanation:

Answer:

B,C,D

Step-by-step explanation:

Stella needs fencing for the perimeter of a
rectangular garden that is 16 feet long and
4 feet wide. The fencing she wants is sold
in yards. How many yards of fencing will
she need to buy for the entire perimeter?
(3 feet = 1 yard)

Answers

Answer:

[tex] \boxed{Fencing \: need \: to \: buy \: for \: the \: entire \: perimeter = \frac{40}{3} \: yards} [/tex]

Step-by-step explanation:

Length of rectangular garden (l) = 16 feet

Width of rectangular garden (w) = 4 feet

[tex] 3 \: feet = 1 \: yard \\ \\ 1 \: feet = \frac{1}{3} \: yard [/tex]

[tex] \\ = > Perimeter \: of \: rectangular \: garden = 2(l + w) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2(16 + 4) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 \times 20 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 40 \: feets \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =40 \times \frac{1}{3} \: yards \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{40}{3} \: yards[/tex]

The figure is made of rectangular prisms. What is the volume?
6 cm
15 cm
10 cm
3 cm
6 cm
3 cm
3 cm
3 cm
318 cm
225 cm
13
159 cm

Answers

What are the sides of the rectangular prisms ?

For question 25 please pick 1,2,3 or 4

Answers

Answer:

4.

[tex]$x=\frac{2}{3} \pm \frac{1}{6}i \sqrt{158}$[/tex]

Step-by-step explanation:

[tex]18x^2-24x+87=0[/tex]

Using Quadratic Formula

[tex]$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$[/tex]

[tex]$x=\frac{-\left(-24\right)\pm \sqrt{\left(-24\right)^2-4\cdot \:18\cdot \:87}}{2\cdot \:18}$[/tex]

Solving the discriminant:

[tex]\Delta = \left(-24\right)^2-4\cdot \:18\cdot \:87\\\Delta = 576-6264\\ \Delta=-5688[/tex]

[tex]$x= \frac{24 \pm \sqrt{-5688} }{36} $[/tex]

[tex]$x= \frac{24 \pm \sqrt{5688i} }{36} $[/tex]

Once [tex]\sqrt{5688} =\sqrt{2^3\cdot \:3^2\cdot \:79}=6\sqrt{158}[/tex]

[tex]$x=\frac{24\pm6\sqrt{158}i}{36}$[/tex]

Dividing the denominator and numerator by 6

[tex]$x=\frac{4\pm \sqrt{158}i}{6}$[/tex]

Now rewrite it:

[tex]$x=\frac{4}{6} \pm i\frac{\sqrt{158}}{6}$[/tex]

[tex]$x=\frac{2}{3} \pm i \frac{\sqrt{158}}{6}$[/tex]

or

[tex]$x=\frac{2}{3} \pm \frac{1}{6}i \sqrt{158}$[/tex]

Which multiplication equation can be used to solve
1/6 divided by 5

Answers

Answer: 1/6x1/5

You have to remember the method keep, change, flip. keep 1/6 change the division sign to the multiplication sign and flip the 5 to 1/5.

Hope this helps <3

-Carrie

Be sure to mark brainliest

:)

Attention!

I have tons of math questions waited to be answer on my page check them out and get points!

Answers

Answer:

ok

Step-by-step explanation:

ok

Answer:

I will try but how many are there?

Step-by-step explanation:

.Two year ago my age was x years, then what was my age 5 years ago?
(1 Point)
x + 7
x -2 - 5
x - 5
x - 3

Answers

X-5 is the correct one I think

Help please!! Anyone??

Answers

Answer:

38

Step-by-step explanation:

180-142=38

Answer:

180-142 (supplementary angles)

38

U Listen
Sylvia and her sister are both reading books. Sylvia reads 2 pages every 5 minutes. Her sister reads 3 pages every 6 minutes. What is the difference between Sylvia
and her sisters reading rates, in pages per hour? this are the choices and the question. pls this is due in 10 min pls help​

Answers

Answer:

6

Step-by-step explanation:

60 mins ÷5= 12. 12 x2=24

60 mins ÷6=10. 10x3=30

30-24=6

Since we know U is the midpoint, we can say TU equals BLANK? Substituting in our values for each we get BLANK? =12x - 1

Answers

Answer:

x = 3

Length of each segment = 3

Step-by-step explanation:

Since point U is the midpoint of the line segment TV, that means both the parts of the segment UV and TU will be equal in measure.

m(TU) = m(VU)

(8x + 11) = (12x - 1)

By further solving this,

8x + 11 + 1 = 12x - 1 + 1

8x + 12 = 12x

8x + 12 - 8x = 12x - 8x

12 = 4x

x = [tex]\frac{12}{4}[/tex]

x = 3

(12x - 1) = 12×3 - 1

           = 35

And the length of each segment will be 35 units.

Could you plz help me with this one question

Answers

The answer is 90

Hope this helped

Answer:

90 degrees.

Step-by-step explanation:

Add all of the degrees together 270 plus 90 its makes a 360 degree.

A serving tray is in the shape of a rectangular prism without a top. The dimensions of the tray are 8 inches by 10 inches by 2 inches. What is the surface area of the tray?
A: 152 square inches
B: 212 square inches
C: 216 square inches
D: 232 square inches

Answers

Answer:

it's a 152

Step-by-step explanation:

The surface area of the rectangular prism is S = 232 inches²

What is the surface area of the prism?

The surface area of the prism is calculated as

The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism

Surface Area of the prism = 2B + ph

The area of the triangular prism is A = ph + ( 1/2 ) bh

Given data ,

A serving tray is in the shape of a rectangular prism without a top.

And , dimensions of the tray are 8 inches by 10 inches by 2 inches.

So , surface area A = 2(80) + 2(16) + 2(20)

A = 160 + 32 + 40

A = 232 square inches

Hence , the surface area is 232 inches²

To learn more about surface area of prism click :

https://brainly.com/question/9183590

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Help please I need the answer

Answers

____________________________________

Hey!!

Solution,

Diameter (d)=17 cm

Radius(r)=17/2=8.5 cm

Circumference of circle=?

Now,

Circumference of circle=2 pi r

=2*3.14*8.5

=53.38 cm

The right answer is 53.4cm

Hope it helps

Good luck on your assignment

_________________________________

Please help as quick as possible

Answers

Answer:

4/81

Step-by-step explanation:

1/4, 1/6, 1/9, 2/27 series

1/6÷1/4= 1/6×4= 2/31/9÷1/6=1/9×6= 2/32/27÷1/9=2/27×9= 2/3

So the common ratio is 2/3

2/27*2/3= 4/81 is the next term

At East Middle School 28% of the students are in the band.If 168 students are in the band,how many students go to East Middle School?
Plz Help me.I will give you max points

Answers

Answer:

600

Step-by-step explanation:

% of students in the band = 28%

No. of students who are in the band = 168

Let us take the total no. of students as x

So, 28/100×x=168

= 600

If y varies inversely as x2 and y = 3 when x = 2, find the equation that connects x and y.

Answers

Answer:  y = 12/(x^2)

============================================================

Explanation:

"y varies inversely as x^2" means y = k/(x^2) for some constant k.

Plug in (x,y) = (2,3) and solve for k

y = k/(x^2)

3 = k/(2^2)

3 = k/4

3*4 = k

12 = k

k = 12

The original equation updates to y = 12/(x^2)

As a check, plugging in x = 2 should lead to y = 3

y = 12/(x^2)

y = 12/(2^2)

y = 12/4

y = 3 ... we get the proper y value, so the answer is confirmed.

The equation that connects x and y, is,   y = 12/(x^2).

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

"y varies inversely as x^2" means y = k/(x^2) for some constant k.

Plug in (x,y) = (2,3) and solve for k

y = k/(x^2)

3 = k/(2^2)

3 = k/4

3*4 = k

12 = k

k = 12

The original equation updates to y = 12/(x^2)

As a check, plugging in x = 2 should lead to y = 3

y = 12/(x^2)

y = 12/(2^2)

y = 12/4

y = 3 ... we get the proper y value,

Hence, The equation that connects x and y, is,   y = 12/(x^2).

To learn more on equation click:

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3 Euros can be exchanged for 22.41 Kroners. How many Euros can be exchanged for 100 Kroners?

Answers

the answer is 4.4 Euros

Answer:

13.39 Euros

Step-by-step explanation:

The ratio between Euros and Kroners is 3:22.41. This means for every 3 Euros we get 22.41 Kroners. This also means for every Euro we get 22.41/3 = 7.47 Kroners. To calculate the number of Euros that can be exchanged for 100 Kroners, we simply divide 100 Kroners by our conversion factor. 100/7.47 = 13.3868809

1) A microbiologist measures the length of a bacterium of 0.000163 m and the

length of yeast as 0.0087 mm.

a) Which is longest? (Hint: Both must be the same units)

b) How much longer is the longer specimen than the shorter specimen?

Answers

Answer:

a) The bacterium is longer;

b) The bacterium is 0.1543 mm longer than the yeast.

Step-by-step explanation:

In order to compare the length of the two beings we need to convert them to the same unit. We can do it either way, but we'll choose to convert from meters to milimetres, since we're dealing with small numbers. To do that we need to multiply the length that is in "m" by 1000.

[tex]length_{bac} = 0.000163*1000 = 0.163 \text{ mm}[/tex]

a) The bacteria is longer than the yeast.

b) We need to subtract their length in order to find this answer:

[tex]\text{dif} = length_{bac} - length_{yeast}\\\text{dif} = 0.163 - 0.0087 = 0.1543 \text{ mm}[/tex]

7. The temperature in Springfield at 10:00 a.m. was 78°F. During the day, it dropped to 56°F. Write and solve an equation to
find the decrease in temperature.

Answers

Answer:

78-56=22 degrees

Step-by-step explanation:

You wanna take away 56 degrees from 78 degrees and you will get ....

Chen is bringing fruit and veggies to serve at an afternoon meeting. He spends a total of $28.70 on 5 pints of cut veggies and 7 pints of cut fruit. The food cost is modeled by the equation 5 v plus 7 f equals 28.70, where v represents the cost of one pint of cut veggies and f represents the cost of one pint of cut fruit. If the cost of each pint of fruit is $2.85, what is the approximate price of a pint of veggies? (Round to the nearest cent, as needed.

Answers

Answer:

one dollar 75 cents

Step-by-step explanation:

lets write the original equation again

5v+7f=28.70

now, lets put in the cost of the fruit to find cost of veggies

5v+7(2.85)=28.70

5v+19.95=28.70

5v=8.75

5=1.75

Answer:

Answer: $1.75

Step-by-step explanation:

Each pint of fruit = $2.85

7 pints of fruit = 2.85 x 7 = 19.95

5 pints of veggies will cost

28.70 - 19.95 = 8.75

Each pint of veggies = 8.75 / 5 = 1.75

Find the value of n.
n = -1.-7

Answers

Answer:

n = 7

Step-by-step explanation:

n = (-1) x (-7)

Simplify:

When two minus signs appear in the product of two numbers, you can cancel them out.

Therefore:

n = (1) x (7) = 7

Hope this helps!

:)

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